Microtone (music) - Knowledge (XXG)

423:, which was (in the mentioned region) regarded as the main term for referring to music with microintervals, though as early as 1908 Georg Capellan had qualified his use of "quarter tone" with the alternative term "Bruchtonstufen (Viertel- und Dritteltöne)" (fractional degrees (quarter and third tones)). Despite the inclusion of other fractions of a whole tone, this music continued to be described under the heading "Vierteltonmusik" until at least the 1990s, for example in the twelfth edition of the 521:"; see a clarification in Kholopov ). Other Russian authors use the more international adjective 'microtonal' and have rendered it in Russian as 'микротоновый', but not 'microtonality' ('микротональность'). However, the terms 'микротональность' and 'микротоника' are also used. Some authors writing in French have adopted the term "micro-intervallique" to describe such music. Italian musicologist Luca Conti dedicated two of his monographs to 5664: 5659: 624: 7103: 7113: 112: 1123: 525:, which is the usual term in Italian, and also in Spanish (e.g., as found in the title of Rué ). The analogous English form, "microtonalism", is also found occasionally instead of "microtonality", e.g., "At the time when serialism and neoclassicism were still incipient a third movement emerged: microtonalism". 774:

to his exposure to the Balinese gamelan at the Paris exposition, and have asserted his rebellion at this time "against the rule of equal temperament" and that the gamelan gave him "the confidence to embark (after the 1900 world exhibition) on his fully characteristic mature piano works, with their

528:

The term "macrotonal" has been used for intervals wider than twelve-tone equal temperament, or where there are "fewer than twelve notes per octave", though "this term is not very satisfactory and is used only because there seems to be no other". The term "macrotonal" has also been used for musical

202:), respectively. "Microinterval" is a frequent alternative in English, especially in translations of writings by French authors and in discussion of music by French composers. In English, the two terms "microtone" and "microinterval" are synonymous. The English analogue of the related French term, 615:

of 100 cents. In the ancient Greek enharmonic genus, the tetrachord contained a semitone of varying sizes (approximately 100 cents) divided into two equal intervals called dieses (single "diesis", δίεσις); in conjunction with a larger interval of roughly 400 cents, these intervals comprised the

158:

of Indian music. Prior to this time the term "quarter tone" was used, confusingly, not only for an interval actually half the size of a semitone, but also for all intervals (considerably) smaller than a semitone. It may have been even slightly earlier, perhaps as early as 1895, that the Mexican

998:

and one of its predecessors, the blues. The blue notes, located on the third, fifth, and seventh notes of a diatonic major scale, are flattened by a variable microtone. Joe Monzo has made a microtonal analysis of the song "Drunken Hearted Man", written and recorded by the delta blues musician

4919:

Adèr, Lidiâ Olegovna . 2011b. "Микротоновый инструментарий—первые шаги от утопии к практике" . In Временник Зубовского института: Инструментализм в истории культуры , edited by Evgenia Vladimirovna Hazdan, 52–65. Vremennik Zubovskogo instituta 7. St. Petersburg: Rossijskij Institut Istorii

4267:

On the Sensations of Tone as a Physiological Basis for the Theory of Music: second English edition, translated, thoroughly revised and corrected, rendered conformable to the fourth (and last) German edition of 1877, with numerous additional notes and a new additional appendix bringing down

1056:

challenges the terminology of "microtonality" as a development that instead of liberating tonal sensibility to a universe of diverse possibilities, both new and historical, instead mainly serves to reinforce the idea that the universal standard for "tone" is the (western) semitone.

414:

objected that "'heterotone' would be a better name for śruti than the usual translation 'microtone'". Modern Indian researchers yet write: "microtonal intervals called shrutis". In Germany, Austria, and Czechoslovakia in the 1910s and 1920s the usual term continued to be

606:

of tetrachords: the enharmonic, the chromatic, and the diatonic. Ancient Greek intervals were of many different sizes, including microtones. The enharmonic genus in particular featured intervals of a distinctly "microtonal" nature, which were sometimes smaller than 50

4995:. Pubblicazioni del Corso superiore di paleografia e semiografia musicale dall'umanesimo al barocco, Serie I: Studi e testi 5; Pubblicazioni del Corso superiore di paleografia e semiografia musicale dall'umanesimo al barocco, Documenti 2. Rome: Edizioni Torre d'Orfeo. 571: 907:. "The project," he wrote, "was to explore the tonal and modal behavior of all equal tunings..., devise a notation for each tuning, and write a composition in each tuning to illustrate good chord progressions and the practical application of the notation". 981:

Although some synthesizers allow the creation of customized microtonal scales, this solution does not allow compositions to be transposed. For example, if each B note is raised one quarter tone, then the "raised 7th" would only affect a C major scale.

47: 620:). Theoretics usually described several diatonic and chromatic genera (some as chroai, "coloration" of one specific intervallic type), but the enarmonic genus was always the only one (argumented as one with the smallest intervals possible). 264:"microintervals" but not "microtones", and in the fourth edition of the same reference (which retains Sims's article on "Microtone") a new "Comma, Schisma" article by André Barbera calls them simply "intervals". In the second edition of 683:, accompanied by explanatory notes tying it to the realization of the Greek enharmonic genus and a chart of quarter tone fingerings for the entire range of the one-keyed flute. Shortly afterward, in a letter published in the 579: 66: 498: 761:

performance and was exposed to non-Western tunings and rhythms. Some scholars have ascribed Debussy's subsequent innovative use of the whole-tone (six equal pitches per octave) tuning in such compositions as the

336:, he states that academic studies of the early blues concur that its pitch scale has within it three microtonal “blue notes” not found in 12 tone equal temperament intonation. It was used still earlier by 4932:. Venice: Bernardino et Mattheo de Vitali. Facsimile edition, Monuments of music and music literature in facsimile: Second series, Music literature 69. New York: Broude Brothers, 1969. Second edition, as 321:"Microtone" is also sometimes used to refer to individual notes, "microtonal pitches" added to and distinct from the familiar twelve notes of the chromatic scale, as "enharmonic microtones", for example. 2210: – mathematical characterization of the harmonic complexity of music; way of characterizing the harmony found in a piece or genre of music, or the harmonies that can be made using a particular scale 447:

for intervals larger than the semitone; this same term has been used since 1934 by ethnomusicologist Victor Belaiev (Belyaev) in his studies of Azerbaijan and Turkish traditional music. A similar term,

348:

came into use at least by 1958, though "Mikrointervall" is still common today in contexts where very small intervals of early European tradition (diesis, comma, etc.) are described, as e.g. in the new

828:(quarter tones, or 24 equal pitches per octave, and sixth tones), Julián Carrillo (24 equal, 36, 48, 60, 72, and 96 equal pitches to the octave embodied in a series of specially custom-built pianos), 580: 57: 67: 970:

1.0 specification does not directly support microtonal music, because each note-on and note-off message only represents one chromatic tone. However, microtonal scales can be emulated using

278:, and Ioannis Zannos define "microtone" as a musical rather than an acoustical entity: "any musical interval or difference of pitch distinctly smaller than a semitone", including "the tiny 3856: 51:

Composer Charles Ives chose the chord above as a good candidate for a "fundamental" chord in the quarter tone scale, akin not to the tonic but to the major chord of traditional tonality

4763: 4009:

Rué, Roberto (2000). "Diatonismo, cromatismo y microtonalismo: Una interpretación estructuralista" [Diatonism, chromaticism and microtonalism: A structuralist interpretation].

679:, all surviving copies of which conclude with a composition (possibly added a year or two after the actual publication of the volume) incorporating several quarter tones, titled 821:'s introduction of the phonograph in the 1890s allowed much non-Western music to be recorded and heard by Western composers, further spurring the use of non-12-equal tunings. 6001: 894: 4967:

Chromatische und enharmonische Musik und Musikinstrumente des 16. und 17. Jahrhunderts/Chromatic and Enharmonic Music and Musical Instruments in the 16th and 17th Centuries

4969:. Schweizer Jahrbuch für Musikwissenschaft/Annales suisses de musicologie/Annuario svizzero di musicologia 22, edited by Joseph Willimann. Bern: Verlag Peter Lang AG. 738:, proposed an elaborate set of exotic just intonation tunings and non-harmonic tunings. Ellis also studied the tunings of non-Western cultures and, in a report to the 5000:

Barbieri, Patrizio, and Lindoro Massimo del Duca. 2001. "Late-Renaissance Quarter-tone Compositions (1555–1618): The Performance of the ETS-31 with a DSP System". In

817:

are marked by a more basic interest in the microtonal intervals found between the higher members of the overtone series, under the influence of Helmholtz's writings.

789: 3093: 2799: 2735: 1767: 487:

when referring to "all the pitches lying outside the traditional twelve-tone system". Some authors in Russia and some musicology dissertations disseminate the term

266: 3812:

Pavlenko, Sergej Vasil'evič; Kefalidi, Igor'; Ekimovskij, Viktor Alekseevič (2002). "Микротоновые элементы: Беседа" [Microtonal Elements: A Conversation].

56: 3831: 836:(just intonation using frequencies at ratios of prime integers 3, 5, 7, and 11, their powers, and products of those numbers, from a central frequency of G-196). 6129: 5174:, edited by Jörn Peter Hiekel, 123–129. Veröffentlichungen des Instituts für Neue Musik und Musikerziehung Darmstadt 47. Mainz: Schott Musik International. 3702: 6695: 5399:". IVO: Sacred Music in the Italian Cinquecento outside Venice and Rome, edited by Chris Whent. Here Of A Sunday Morning website. (Accessed 19 August 2008) 3881: 764: 488: 388:

or other alternative tunings may be considered microtonal. Microtonal variation of intervals is standard practice in the African-American musical forms of

2689:. Musique de notre temps: compositeurs (in French) (Second, revised, corrected, and enlarged ed.). Lillebonne: Millénaire III Éditions. p. 314. 5987: 5485: 5312:, edited by Rolf Bader, Christiane Neuhaus, and Ulrich Morgenstern, with a prefaceby Achim Reichel, 297–314. Frankfurt am Main and New York: Peter Lang. 4283: 4936:, Venice: Bernardino & Matheo de Vitali, 1529. Facsimile reprint, Bibliotheca musica Bononiensis, sezione 2., n. 10. Bologna: Forni Editori, 1969. 4794: 4947:, Venice: Marchio Stessa, 1539. Facsimile edition, edited by Georg Frey. Kassel: Bärenreiter, 1970. Fourth edition, Venice, 1562. English edition, as 4430:

Decroupet, Pascal; Ungeheuer, Elena (Winter 1998). "Through the Sensory Looking-Glass: The Aesthetic and Serial Foundations of Gesang der Jünglinge".

775:

many bell- and gong-like sonorities and brilliant exploitation of the piano's natural resonance". Still others have argued that Debussy's works like

368:

The term "microtonal music" usually refers to music containing very small intervals but can include any tuning that differs from Western twelve-tone

6061: 1635: 4845: 356:

and music of Eastern traditions. The term "microinterval" is used alongside "microtone" by American musicologist Margo Schulter in her articles on

6194: 5974: 4914:

Adèr, Lidiâ Olegovna . 2011a. "Микротоновая идея: Истоки и предпосылки" . Научный журнал Санкт-Петербургской консерватории 3–4, nos. 8–9:114–134.

653:. While theoretically an interpretation of ancient Greek tetrachordal theory, in effect Vicentino presented a circulating system of quarter-comma 403:

Many microtonal equal divisions of the octave have been proposed, usually (but not always) in order to achieve approximation to the intervals of

4951:, translated by Peter Bergquist. 3 vols. Colorado College Music Press Translations, no. 4. Colorado Springs: Colorado College Music Press, 1970. 5222: 1192: 501:) for all possible microtonal structures, both ancient (as enharmonic genus—γένος ἐναρμόνιον—of Greeks) and modern (as quarter tone scales of 5317: 5288: 5179: 5142: 4771: 4117: 4092: 3955: 3923: 3414:

Hesse, Horst-Peter (Winter 1991). "Breaking into a New World of Sound: Reflections on the Austrian Composer Franz Richter Herf (1920–1989)".

2848: 2768: 2694: 2669: 2624: 2599: 2590:

Rae, Caroline (2013). "Messiaen and Ohana: Parallel Preoccupations or Anxiety of Influence?". In Fallon, Robert; Dingle, Christopher (eds.).

2466: 2413: 2309: 5297: 4820: 3618: 6204: 5588: 5416: 1214: 578: 4937: 1218: 1140: 1061: 318:

and various other Near Eastern musical traditions, but do not actually name the "mathematical" terms schisma, comma, and diaschisma.

65: 5334:

Werntz, Julia. 2001. "Adding Pitches: Some New Thoughts, Ten Years after Perspectives of New Music's 'Forum: Microtonality Today'".

5159: 5109: 5056: 5030: 4974: 4648: 4324: 4213: 4186: 4168: 4157: 3773: 3571: 3169: 3127: 3102: 3015: 2823: 2516: 2491: 1899: 1162: 5390: 843:(31 equal tones per octave), Partch (continuing to build his handcrafted orchestra of microtonal just intonation instruments), and 4691: 1357:(France, 1919–1989, many different equal temperaments: 18ET, 24ET, 30ET, 36ET, 48ET, 96ET most particularly and polymicrotonality) 7147: 6573: 480: 5403: 4234:: A Quarter-tone Piece for Flute in the Historical Context of the Enharmonic Genre in Eighteenth-century French Music and Theory 88:, also called "microintervals". It may also be extended to include any music using intervals not found in the customary Western 6688: 6167: 5864: 5137:, 107–122. Veröffentlichungen des Instituts für Neue Musik und Musikerziehung Darmstadt 47. Mainz: Schott Musik International. 5097: 3318:

Belyaev, Victor M. (1971). "Азербайджанская народная песня (1960)" [Azerbaijan Folk Songs]. In Belyaev, Victor (ed.).

2251: 1312: 5478: 2532:

Battier, Marc; Lacino, Thierry (1984). "Simulation and Extrapolation of Instrumental Sounds Using Direct Synthesis at IRCAM (

2366: 2345: 1857: 1144: 1042:

has been making its own custom "microtonal" instruments since the mid 1990s. The proprietary tuning system they use in their

147: 854:(1987) on and inexpensive software synthesizers have contributed to the ease and popularity of exploring microtonal music. 6974: 6352: 3798: 899:

a cycle that explores all of the equal temperaments from 13 notes to the octave through 24 notes to the octave, including

750: 697:

composed a cantata "Prométhée enchaîné" for a solo voice, choir and orchestra (premiered in 1849), where in one movement (

5232: 5220:. . "Third Bridge Helix: From Experimental Punk to Ancient Chinese Music and the Universal Physical Laws of Consonance". 4722: 865:

facilitates the use of any kind of microtonal tuning, and sidesteps the need to develop new notational systems. In 1954,

7142: 6054: 5012:(ed.). 2001. "The Ratio Book." (Documentation of the Ratio Symposium Royal Conservatory The Hague 14–16 December 1992). 513:, which is subordinate to the dominating tonality, especially in the context of European music of the 19th century) and 7024: 6713: 6290: 5969: 5086:

Daniels, Arthur Michael. 1965. "Microtonality and Mean-Tone Temperament in the Harmonic System of Francisco Salinas".

5081:(1618–1624), with an introduction by Patrizio Barbieri. Musurgiana 24. Lucca, Italy: Libreria Musicale Italiana, 1991. 4747: 2888: 2794: 2730: 1779: 560:(1972–1976) contains a number of "augmented" modes that are based on Greek scales but are asymmetrical to the octave. 238: 3906:

Criton, Pascale (2010). "Variabilité et multiplicité acoustique" [Variability and acoustic multiplicity]. In

694: 4053: 813: 7106: 6681: 6134: 5994: 5737: 5613: 5508: 4750: 4603: 4247:

Reilly, Edward R.; Solum, John (Spring 1992). "De Lusse, Buffardin, and an Eighteenth-Century Quarter Tone Piece".

1791: 783: 4358:

Howat, Roy (2001). "Debussy, (Achille-)Claude: §10, 'Musical Language'". In Sadie, Stanley; Tyrrell, John (eds.).

1133: 6119: 5946: 5934: 5471: 4432: 3947: 3416: 2983: 2661: 2196: 2179: 311: 4846:

https://www.native-instruments.com/fileadmin/userlib/legacy/userlib_kontakt/1355701044_File_12389_53.shadow-.zip

4208:(Reprinted : Dover, 2004 ed.). East Lansing, Michigan, USA: Michigan State College Press. pp. 117–18. 1029:

has used microtonal string arrangements in their music, such as on "How to Disappear Completely" from the album

598:. The ancient Greeks approached the creation of different musical intervals and modes by dividing and combining 146:

can refer to any music containing microtones. The words "microtone" and "microtonal" were coined before 1912 by

6403: 5638: 3279: 3257: 1875: 1070: 688: 6539: 5767: 4373:

Don, Gary (Spring 2001). "Brilliant Colors Provocatively Mixed: Overtone Structures in the Music of Debussy".

3218:

Hába, Alois (1922). "Vývoj hudební tvorby a theorie vzhledem k diatonice, chromatice a čtvrttónové soustavě".

2763:(Fourth ed.). Cambridge, Massachusetts, USA: The Belknap Press of Harvard University Press. p. 193. 2452: 2164: 2010: 704:

In the 1910s and 1920s, quarter tones (24 equal pitches per octave) received attention from such composers as

634:'s "Chromatic Chanson", "Seigneur Dieu ta pitié" of 1558 used 1/3 comma meantone (which almost exactly equals 7094: 6373: 6199: 6124: 6047: 5896: 5578: 5271:

Mosch, Ulrich. 2008. "Ultrachromatik und Mikrotonalität: Hans Zenders Grundlegung einer neuen Harmonik". In

5088: 5004:, edited by Diego L. González, Domenico Stanzial, and Davide Bonsi. 2 vols. Venice: Fondazione Giorgio Cini. 3942:(2004). "Alois Hába et l'expérimentation micro-intervallique". In Galmiche, Xavier; Stránská, Lenka (eds.). 3387: 3080: 1463: 877: 742:, stated that they used neither equal divisions of the octave nor just intonation intervals. Ellis inspired 271: 92:. In other words, a microtone may be thought of as a note that falls "between the keys" of a piano tuned in 6157: 4490: 4343:(2001). "Debussy, (Achille-)Claude: §7, 'Models and Influences'". In Sadie, Stanley; Tyrrell, John (eds.). 7137: 7116: 7075: 6395: 6358: 6348: 5593: 2300:

Boatwright, Howard (1971). "Ives' Quarter-Tone Impressions". In Boretz, Benjamin; Cone, Edward T. (eds.).

1953: 1827: 1388: 649:(1511–1576) worked with microtonal intervals and built a keyboard with 36 keys to the octave known as the 881:(1955–56) he used various scales, ranging from seven up to sixty equal divisions of the octave. In 1955, 7059: 6598: 6391: 5713: 5543: 5189:

Neue Harmonielehre des diatonischen, chromatischen Viertel-, Drittel-, Sechstel- und Zwölftel-tonsystems

5002:

Musical Sounds from Past Millennia: Proceedings of the International Symposium on Musical Acoustics 2001

4897: 4375: 4262: 4034: 3358: 3337:

Belyaev, Victor M. (1971). "Турецкая музыка (1934)" [Turkish Music]. In Belyaev, Victor (ed.).

2173: 2130: 1707: 1618: 1585: 1511: 1444: 1435: 1407: 1395: 1392:

in quarter tone tuning, natural harmonics in his Horn Trio, later just intonation in his solo concertos)

1360: 866: 840: 832:(third tones, quarter tones, sixth tones and twelfth tones, non octaving scales) and the early works of 469: 410:

Terminology other than "microtonal" has been used or proposed by some theorists and composers. In 1914,

337: 295: 4281:

Ellis, Alexander J. (1884). "Tonometrical Observations on Some Existing Non-Harmonic Musical Scales".

665: 206:, however, is rare or nonexistent, normally being translated as "microtonality"; in French, the terms 6566: 6399: 6344: 6326: 6321: 6316: 6311: 6306: 6301: 6296: 6281: 6276: 6271: 6266: 6261: 6256: 6023: 5846: 5841: 5836: 5831: 5826: 5821: 5816: 5806: 5801: 5796: 5791: 5786: 5518: 5280: 5167: 5134: 4683: 4292: 3262: 2340: 2222: 1905: 1725: 1701: 1505: 1011: 904: 900: 807: 727: 635: 425: 411: 385: 4956:

Barbieri, Patrizio. 1989. "An Unknown 15th-Century French Manuscript on Organ Building and Tuning".

3470:"Микрохроматические интервалы" [Mikrochromaticheskie Intervali / Microchromatic Intervals]. 6959: 6363: 6336: 6234: 6018: 5963: 5663: 5643: 5352: 5276: 4702:

on 23 September 2015. Transcript from an audio recording of the broadcast on Citizen Insane website

4553: 3683: 3660: 3595: 2016: 1881: 1302: 1255: 1244: 1106: 920: 829: 717: 436: 7112: 5380: 955: 594:

The Hellenic civilizations of ancient Greece left fragmentary records of their music, such as the

6954: 6882: 6652: 6428: 6214: 6209: 5940: 5658: 5568: 5460:

allows any sound card or synthesizer to play 48 microtones per octave, each separated by 1/8 step

5453: 4934:

Toscanello in musica... nuovamente stampato con laggiunta da lui fatta et con diligentia corretto

4453: 4315: 4236:(DMA diss.). Iowa City, Iowa, USA: The University of Iowa. pp. iii, 1, 9–10, 52–55, 116–119. 3527:

Kholopov, Y. ; Kirillina, L. ; Kyuregyan, T. ; Lyzhov, G. ; Pospelova, R. ; Tsenova, V. (2006),

3433: 2944: 2383: 2046: 1998: 1923: 1380:(Greece, France, 1922–2001, quarter and third tones most particularly, occasionally eighth tones) 1354: 1305:(U.S.S.R. (Russia), France, 1893–1979, quarter tones, twelfth tones and other equal temperaments) 939:, who derived his compositions' tunings from frequency-runs submitted by users of a custom-built 631: 119: 6433: 5528: 4340: 3056:"Xenharmonic Excursion to Padua, 1318: Marchettus, the Cadential Diesis, and Neo-Gothic Tunings" 2437: 2004: 1210: 1188: 709: 552:(1995), which gradually expands stacked-interval chords ranging from minor 2nds to major 7thsm. 160: 5364:

Zweifel, Paul. 1996. "Generalized Diatonic and Pentatonic Scales: A Group-Theoretic Approach".

5077:. Naples: C. Vitale. Facsimile reprint of a copy containing manuscript critical annotations by 4579:"Igloo Magazine :: Aleksi Perälä (Ovuca) :: The original harmony of Human and Nature" 3939: 2649: 419:(quarter tone music), and the type of intervallic structure found in such music was called the 6867: 6857: 6752: 6704: 6647: 6407: 6368: 6243: 6182: 6028: 5911: 5778: 5558: 5548: 5513: 5313: 5284: 5175: 5155: 5138: 5105: 5052: 5026: 4970: 4644: 4320: 4268:

information to 1885, and especially adapted to the use of music students by Alexander J. Ellis

4209: 4164: 4153: 4113: 4088: 3951: 3919: 3769: 3567: 3303: 3165: 3123: 3098: 3011: 2927: 2907: 2844: 2819: 2764: 2690: 2665: 2620: 2595: 2512: 2487: 2462: 2409: 2305: 2040: 1992: 1917: 1887: 1821: 1809: 1565: 1438:(Germany, 1928–2007, in his electronic works many microtonal concepts, non-octaving scales in 1422: 1274: 1250: 1224: 948: 931:

In 2016, electronic music composed with arbitrary microtonal scales was explored on the album

777: 731: 642: 541: 369: 353: 93: 89: 5129:. 2007. "Allgemeine Harmonik, Tonsysteme, Mikrotonalität: Ein geschichtlicher Überblick". In 4861: 1854:(b. 1965) (quarter tones, ancient Chinese tunings, e.g. circle-of-fifths and just intonation) 1369: 1365: 474: 7080: 7049: 7014: 6969: 6964: 6877: 6847: 6822: 6812: 6807: 6802: 6615: 6387: 6251: 6219: 6139: 6104: 5916: 5869: 5718: 5628: 5583: 5553: 5494: 5126: 4965:

Barbieri, Patrizio. 2002. "The Evolution of Open-Chain Enharmonic Keyboards c1480–1650". In

4445: 4384: 3425: 3396: 3367: 3253: 3003: 2936: 2897: 2553: 2545: 2375: 2151: 2106: 1863: 1606: 1383: 1268: 1240: 1235: 1198: 1182: 862: 795: 646: 553: 373: 81: 4986:, second edition, edited by Robert Palmieri and Margaret W. Palmieri,. New York: Routledge. 1716:(b. 1954) (different equal temperaments, most particularly very dense ETs such as the 96ET) 875:

on an 81-step scale starting from 100 Hz with the interval of 5 between steps, and in

6989: 6887: 6837: 6593: 6559: 6509: 6149: 5856: 5598: 5457: 5305: 5078: 5009: 4795:"'L.W.' proves King Gizzard & the Lizard Wizard can master microtonality a third time" 4687: 4496: 4476: 3385:Žabka, Marek (Fall 2014). "Dancing with the Scales: Subchromatic Generated Tone Systems". 2269: 2201: 2088: 2064: 1929: 1743: 1671: 1600: 1541: 1517: 1499: 1336: 1039: 1015: 951:

in the late 1940s, thereby supposedly embodying thoughts and concepts within the tunings.

940: 915: 658: 617: 404: 381: 303: 291: 5310:

Concepts, Experiments and Fieldwork: Studies in Systematic Musicology and Ethnomusicology

5257:, second edition, edited by Stanley Sadie and John Tyrrell. London: Macmillan Publishers. 3553: 2818:. Metuchen (New Jersey, USA) and London (England): The Scarecrow Press, Inc. p. 59. 1064:

utilises microtonal instruments, including custom microtonal guitars modified to play in

670: 4296: 4032:

Chou, Wen-chung (April 1971). "Asian Concepts and Twentieth-Century Western Composers".

3144: 2793:

Griffiths, Paul; Lindley, Mark; Zannos, Ioannis (2001). "Microtone". In Sadie, Stanley;

2714:(Second ed.). Cambridge, Massachusetts, USA: Harvard University Press. p. 527. 7039: 6999: 6984: 6913: 6908: 6817: 6767: 6187: 6162: 6109: 6070: 5980: 5693: 5648: 5538: 4699: 4578: 3907: 3055: 2245: 2231: 2094: 2076: 1965: 1959: 1947: 1833: 1803: 1731: 1719: 1713: 1659: 1623: 1612: 1535: 1377: 1290: 1262: 1247:, and in the Third Violin Sonata, as inflections characteristic of Romanian folk music) 1000: 754: 721: 533: 357: 299: 283: 155: 4958:

The Organ Yearbook: A Journal for the Players & Historians of Keyboard Instruments

1692:(b. 1952) (invented acoustic instruments in just intonation & recurrent sequences) 623: 7131: 7019: 6777: 6747: 6630: 6482: 6451: 6224: 6177: 6084: 5891: 5633: 5608: 5563: 4182: 3859:[Dissertation search: микротональность – Search result, documents found: 1]. 3738: 3716: 3088: 2999: 2726: 2558: 2236: 2207: 2184: 2100: 2058: 2028: 2022: 1977: 1893: 1869: 1851: 1845: 1785: 1653: 1647: 1641: 1579: 1547: 1487: 1413: 1401: 1330: 1318: 1296: 1280: 1230: 1049: 844: 825: 818: 770: 739: 713: 603: 595: 586: 537: 518: 494: 315: 253: 242:

defines "microtone" as "an interval smaller than a semitone", which corresponds with

135: 252:. However, the unsigned article "Comma, Schisma" in the same reference source calls 7054: 7009: 6923: 6918: 6797: 6787: 6757: 6742: 6635: 6446: 6286: 6089: 5811: 5708: 5703: 5698: 5683: 5678: 5573: 5533: 5523: 5217: 4857: 4665: 4636: 4624:

microtonal chords. A MIDI player that supports pitch bending will also be required.

4509: 4310: 4011:

Música e investigación: Revista del Instituto Nacional de Musicología "Carlos Vega"

3084: 2461:. Vol. 2: Kondratiev-Zythum (Second ed.). Paris: Larousse. p. 1011. 2364:

Meyer, Max (July–October 1903). "Experimental Studies in the Psychology of Music".

2257: 2159: 2070: 2034: 1941: 1935: 1911: 1815: 1749: 1683: 1629: 1559: 1553: 1523: 1493: 1428: 1417: 1342: 1324: 1308: 1204: 1088: 1082: 1076: 1065: 936: 911: 882: 851: 833: 743: 705: 650: 608: 307: 275: 151: 129: 116: 5264:

Multiple Division Of the Octave and the Tonal Resources of the 19 Tone Temperament

4513: 4015:

Music and research: Magazine of the National Institute of Musicology "Carlos Vega"

3834:[Dissertation search: микротоновый – Search result, documents found: 14]. 3528: 3032: 1333:(France, 1913–1992, third tones (18ET) and quarter tones (24ET) most particularly) 5325:

Vitale, Raoul. 1982. "La Musique suméro-accadienne: gamme et notation musicale".

4844:

the 1st shadow-sky tonal nonoctave scales are available for the sampler Kontakt:

3727:]. Vol. 3. Moscow: Bolshaya Sovetskaya Entsiklopedia . pp. 587–589. 3301:

Wyschnegradsky, Ivan (1972). "L'Ultrachromatisme et les espaces non octaviants".

1339:(Italy, 1905–1988, intuitive linear tone deviations, quarter tones, eighth tones) 1201:(Italy, Germany, 1866–1924). Experimented with microtones, including third tones. 924:. "This whole formal discovery came a few weeks after I had completed the album, 577: 64: 55: 6994: 6979: 6534: 6529: 6519: 6114: 6094: 5762: 5757: 5747: 5688: 4925: 4751:

https://www.trebuchet-magazine.com/secret-chiefs-3-interview-with-trey-spruance/

4441: 3944:

L'attraction et la nécessité: Musique tchèque et culture française au XXe siècle

3884:[Dissertation search: микротоника – Search result, documents found: 1]. 3284:

Brockhaus Riemann Musiklexikon in vier Bänden und einem Ergänzungsband, Volume 4

2579:. 1, Electronic Music. Translated by Goehr, Alexander (English ed.): 22–23. 2429: 2118: 2112: 1971: 1797: 1773: 1761: 1755: 1695: 1689: 1677: 1665: 1529: 1348: 1122: 453: 329: 243: 17: 4061: 3857:"Поиск диссертаций: микротональность – Результат поиска, документов найдено: 1" 3615:

The Microchomatics of I. Wyschnegradsky: History, Theory, Practice, Development

3267:(Twelfth fully revised ed.). Mainz: B. Schott's Söhne. pp. 1032–1033. 2998:

Zaminer, Frieder (2006). "Harmonik und Musiktheorie im alten Griechenland". In

691:

mentioned this piece and expressed an interest in quarter tones for the flute.

7044: 7034: 7004: 6737: 6524: 6493: 5752: 5603: 5422: 4821:"Notes from Underground: Ivan Wyschnegradsky's Manual of Quarter-Tone Harmony" 3918:]. Musique-philosophie (in French). Paris: L'Harmattan. pp. 119–133. 3290:] (Second ed.). Mainz: Atlantis-Schott Musikbuch-Verlag. p. 304. 2902: 2864: 2549: 2325:

Mann, Maud (MacCarthy) (16 January 1912). "Some Indian Conceptions of Music".

2216: 2145: 2124: 2052: 1839: 1609:(1946–1998) (spectral approach to microintervals, quarter tones, eighth tones) 1481: 1469: 1053: 1044: 1007: 995: 971: 599: 502: 461: 389: 325: 279: 261: 31: 4388: 3400: 2911: 839:

Prominent microtonal composers or researchers of the 1940s and 1950s include

340:

with reference to developments in "modernism" in a 1939 record review of the

7029: 6949: 6832: 6514: 6468: 5906: 5623: 5447:, a browser-based synth to explore microtonal tunings with a QWERTY keyboard 3832:"Поиск диссертаций: микротоновый – Результат поиска, документов найдено: 14" 2575: 2278: 2187: – Classification of musical scale or key in ancient Greek music theory 1737: 1626:(b. 1947) (spectral approach to microintervals, quarter tones, eighth tones) 1475: 1026: 1019: 991: 944: 871: 233: 38: 3973:

Suoni di una terra incognita: il microtonalismo in Nord America (1900–1940)

3371: 3160:

Datta, Asoke Kumar; Sengupta, Ranjan; Dey, Nityananda; Nag, Dipali (2006),

2981:. Berlin, Frankfurt, and Vienna: Verlag Ullstein. pp. 29–32, 210–212, 2883: 2082: 1746:(b. 1956) (different equal temperaments, just intonation, polymicrotonally) 5396: 5038:

Blackwood, Easley. 1991. "Modes and Chord Progressions in Equal Tunings".

3882:"Поиск диссертаций: микротоника – Результат поиска, документов найдено: 1" 3478:] (in Russian) (Second ed.). Moscow: Praktika. 2007. p. 563. 3459:] (in Russian). Moscow: Sov'etskaya Entsiklopediya. 1990. p. 344. 3288:

Brockhaus Riemann Music Lexicon in Four Volumes and a Supplementary Volume

294:

or between a sharp and its enharmonically paired flat in various forms of

290:

into more than 12 parts, and various discrepancies among the intervals of

6662: 6657: 6625: 6610: 5901: 5051:, second edition, ed. Diana Deutsch. 215–264. San Diego: Academic Press. 4641:

All Blues Soloing for Jazz Guitar: Scales, Licks, Concepts & Choruses

4599: 1562:(Canada, b. 1939, different equal temperaments, following Wyschnegradsky) 1450: 1095: 975: 958:

works exclusively in a microtonal system known as the Colundi sequence.

654: 612: 510: 123: 85: 5283:, 61–76. Archive zur Musik des 20. Jahrhunderts, No. 12. Hofheim:Wolke. 4991:

Barbieri, Patrizio, Alessandro Barca, and conte Giordano Riccati. 1987.

3122:. Cambridge and New York: Cambridge University Press. pp. 124–126. 6488: 6438: 5263: 2759:

Barbera, André (2003). "Comma, Schisma". In Randel, Don Michael (ed.).

2387: 2190: 1490:(U.S.A, 1929–2023, 7-tone, 19-tone, 22-tone, 31-tone equal temperament) 1299:(Czechoslovakia, 1893–1973, quarter tones and other equal temperaments) 1265:(Australia, 1882–1961, particularly works for his "free music machine") 1147: in this section. Unsourced material may be challenged and removed. 801: 758: 465: 377: 257: 4885: 4873: 4457: 4401:

Partch (1979), pp. 119–137 (Chapter 8, "Application of the 11 Limit").

3437: 3162:

Experimental Analysis of Shrutis from Performances in Hindustani Music

2948: 505:); this generalization term allowed also to avoid derivatives such as 6641: 6604: 6582: 6456: 6172: 6099: 5618: 5384: 4898:

http://centrebombe.org/dansleciel,lebruitdel'ombre.html#nonoctave

3977:

Sounds of an unknown land: microtonalism in North America (1900–1940)

2343:(25 May 1877). "On the Measurement and Settlement of Musical Pitch". 885:

used 13 equal-tempered intervals per octave in his Whitsun oratorio,

287: 248: 222:

are also sometimes used, occasionally mixed in the same passage with

186:, and French sources give the equivalent German and English terms as 4677: 4675: 4643:. Guitar Master Class. Pacific, Missouri, USA: Mel Bay. p. 20. 4492:

Liner notes to "Blackwood: Microtonal Compositions" [CDR018]

3611:Микрохроматика И. Вышнеградского: История, теория, практика освоения 3199:

Hába, Alois (1921). "Harmonische Grundlagen des Vierteltonsystems".

2379: 701:) he used quarter tones, to imitate the enharmonic genus of Greeks. 5463: 5426: 5203:, ed. B. Gilmore. Urbana and Chicago: University of Illinois Press. 4449: 3992:

Ultracromatiche sensazioni: il microtonalismo in Europa (1840–1940)

3653:Сергей Протопопов: композиторское творчество и теоретические работы 3429: 2940: 6673: 6620: 6473: 6461: 6039: 5308:. 2010. "About Backyards and Limbos: Microtonality Revisited". In 1818:(b. 1961) (quarter tones, twelfth tones, extended just intonation) 1456: 1454:, occasional microtonal instrumental and vocal writing throughout 1191:(Belgium, U.S.A., 1858–1931, used quarter tones in several of the 1031: 622: 393: 5438: 5355:. 1937. "La musique à quarts de ton et sa réalisation pratique". 5343:

Wood, James. 1986. "Microtonality: Aesthetics and Practicality".

5208:

Kotschy, Johannes. 2008. "Mikrotonalität: Eine Zeiterscheinung?"

4666:"A Microtonal Analysis of Robert Johnson's "Drunken Hearted Man"" 2511:. Guides Musicologiques. Paris: Editions Beauchesne. p. 13. 2486:. Guides Musicologiques. Paris: Editions Beauchesne. p. 13. 1098:

used quarter tones and other microtonal intervals in their album

933:

Radionics Radio: An Album of Musical Radionic Thought Frequencies

6478: 5068:". Vanessa Carr's website (29 February). (Accessed 2 April 2009) 3741:(2000). "Микро и последствия" [Micro and consequences]. 3097:. Vol. 12. London: Macmillan Publishers. pp. 279–280. 2788: 2786: 2784: 2782: 2780: 2327:

Proceedings of the Musical Association, 38th Session (1911–1912)

2263: 1582:(Finland, b. 1948, quarter tones, non equal temperament tunings) 1048:

aspect is ratio-based, not equal temperament. The band's leader

967: 616:

perfect fourth (approximately 498 cents, or the ratio of 4/3 in

397: 182:

In French, the usual term is the somewhat more self-explanatory

6677: 6555: 6043: 5467: 5432: 5417:

Julián Carrillo and the 13th Sound: A Microtonal Musical System

5065: 4764:"King Gizzard Announce a New Album, 'Flying Microtonal Banana'" 3640:] (PhD diss.). Vladivostok: Far East State Academy of Arts. 2619:. Lanham, MS, and Plymouth: Scarecrow Press, Inc. p. 109. 2544:. 1 (Musical Thought at IRCAM, edited by Tod Machover): 77–82. 2248: – Terms for tuning an instrument and a systems of pitches 2148: – A guitar where the bridge extends beyond its usual stop 1588:(France, b. 1961, introduces acyclic nonoctave scales in 1980) 1526:(U.S.A., 1934–2006, just intonation, 72-tone equal temperament) 5244:

Leedy, Douglas. 1991. "A Venerable Temperament Rediscovered".

3996:

Ultrachromatic sensations: microtonalism in Europe (1840–1940)

3516:] (in Russian). Moscow: Muzyka. pp. 65, 123, 152 etc. 3451:"Микрохроматика" [Mikrochromatika / Microchromatics]. 1398:(Italy, 1924–1990, quarter tones, eighth tones and 16th tones) 1283:(Italy, 1885–1947, used quarter tones and eighth tones on the 1116: 532:

Examples of this can be found in various places, ranging from

509:(microtonality, which could be understood in Russian as a sub- 27:

Use in music of microtones (intervals smaller than a semitone)

5391:

Jim Aikin's article on alternative tuning in electronic music

5236: 3010:. Darmstadt: Wissenschaftliche Buchgesellschaft. p. 94. 638:) and explored the full compass of 19 pitches in the octave. 30:

For sounds on the time scale shorter than musical notes, see

5444: 5409: 4604:"LilyPond – Notation Reference v2.21.7 (development-branch)" 4554:""Colundi" is Music Tuned to Frequencies That Heal the Body" 2979:

Musica ex machina: über das Verhältnis von Musik und Technik

2843:. Latina, Italy: Il Levante Libreria Editrice. p. 139. 2592:

Messiaen Perspectives 2: Techniques, Influence and Reception

1213:(Mexico, 1875–1965) many different equal temperaments, look 1068:. Tracks with these instruments appear on their 2017 albums 479:

and the music theorist Rolf Maedel, Herf's colleague at the

324:

In English the word "microtonality" is mentioned in 1946 by

72:

Two examples of an Ives fundamental chord with quarter tones

5170:. 2007. "Mikrotonalität und spektrale Musik seit 1980". In 5047:

Burns, Edward M. 1999. "Intervals, Scales, and Tuning." In

4993:

Acustica accordatura e temperamento nell'illuminismo Veneto

3799:

Gosudarstvennaâ Konservatoriâ imeni N.A. Rimskogo-Korsakova

3676:Микрохроматика в системе современного музыкального мышления 3634:Микрохроматика в музыкальном искусстве позднего Возрождения 2573:

Boulez, Pierre (1958). "At the Ends of Fruitful Land ...".

1374:(Austria, 1920–1989, 72-equal temperament, "ekmelic" music) 1311:(U.S.A., 1901–1974, just intonation, including a system of 918:, using alternate tuning scales she invented for the album 4862:

https://twitter.com/Mick_Gordon/status/1627845703505711105

3657:

Sergey Protopopov: composer's output and theoretical works

2594:. Farnham: Ashgate Publishing, Ltd. pp. 164, 174n40. 1734:(b. 1955) (different equal temperaments, notably the 48ET) 824:

Major microtonal composers of the 1920s and 1930s include

328:

who related it to microtonal inflexions of the so-called "

236:, in the article "Microtone" in the second edition of the 6551: 4982:

Barbieri, Patrizio. 2003. "Temperaments, Historical". In

4723:"Jon Catler: Evolution for Electric Guitar and Orchestra" 4319:(Second ed.). New York: Da Capo Press. p. vii. 3075: 3073: 2966:. Freiburg im Breisgau and Munich: K. Alber. p. 288. 2884:"Microtonal Analysis of "Blue Notes" and the Blues Scale" 2687:

Karlheinz Stockhausen: ... un vaisseau lancé vers le ciel

2239: – Ascending or descending sequence of musical tones 5075:

La sambuca lincea, overo Dell'istromento musico perfetto

4896:

the nonoctave polyscalar music theory published online:

3795:

Microtonic music in Europe and Russia in the 1900s–1920s

3791:Микротоновая музыка в Европе и России в 1900–1920–е годы 1572:

for solo flute, 1976; quarter tones and eighth tones in

1253:(Poland, 1882–1937, used quarter tones on the violin in 352:

while "Mikroton" seems to prevail in discussions of the

334:

Microtonal Analysis of “Blues Notes” and the Blues Scale

5172:

Orientierungen: Wege im Pluralismus der Gegenwartsmusik

5131:

Orientierungen: Wege im Pluralismus der Gegenwartsmusik

4419:]. Cologne: Verlag M. DuMont Schauberg. p. 37. 4411:

Stockhausen, Karlheinz (1964). Schnebel, Dieter (ed.).

3497:] (in Russian). Moscow: Praktika. pp. 353–354. 3345:]. Moscow: Sov'etskii Kompozitor. pp. 163–176. 3326:]. Moscow: Sov'etskii Kompozitor. pp. 108–156. 2432:(1961). "Micro-intervalle". In Michel, François (ed.). 2304:. Princeton: Princeton University Press. pp. 8–9. 2241:

Pages displaying short descriptions of redirect targets

2227:

Pages displaying short descriptions of redirect targets

5450: 5102:

The Musicology and Organology of the Ancient Near East

3749:]. Moscow: Gnessins Music Academy. pp. 27–38. 3495:

Music of the Twentieth Century: An Academic Dictionary

37:"Microtone" redirects here. For the slicing tool, see 3998:] (in Italian), Lucca: Libreria musicale italiana 3979:] (in Italian), Lucca: Libreria musicale italiana 3592:

Problems of Musical Structure in the Early Modern Era

3566:(in Russian), St Petersburg: Lan, pp. 172 etc., 3164:, Kolkata: ITC Sangeet Research Academy, p. 18, 2266: – Melodic mode of improvisation in Indian music 1277:(Romania, Austria, Palestine, USA, Canada, 1897–1973) 5412:". (Article on alternative tuning in Peruvian music) 5117:

Fink, Robert. 1988. "The Oldest Song in the World".

4413:

Texte 2: Aufsätze 1952–1962 zur musikalischen Praxis

4110:

Musical Form and Analysis: Time, Pattern, Proportion

3719:(1976). "Микрохроматика" [Microchromatics]. 3054:

Schulter, Margo (2 March 2001). McComb, Todd (ed.).

3031:

Schulter, Margo (10 June 1998). McComb, Todd (ed.).

2274:

Pages displaying wikidata descriptions as a fallback

2212:

Pages displaying wikidata descriptions as a fallback

2176: – Music performance controller and synthesizer 2169:

Pages displaying wikidata descriptions as a fallback

2156:

Pages displaying wikidata descriptions as a fallback

2154: – system for identifying tones in Arabic music 914:

experimented with many microtonal systems including

380:; Thai, Burmese, and African music, and music using 7068: 6938: 6898: 6727: 6720: 6502: 6419: 6382: 6335: 6242: 6233: 6148: 6077: 6011: 6002:

Twelve Microtonal Etudes for Electronic Music Media

5955: 5925: 5882: 5855: 5777: 5736: 5727: 5671: 5501: 3588:Проблемы музыкального строя в начале Нового времени 895:

Twelve Microtonal Etudes for Electronic Music Media

3541:(in Russian), Moscow: Kompozitor, pp. 86 etc. 2925:McNaught, W. (February 1939). "Gramophone Notes". 2454:Nouveau Larousse encyclopédique: Kondratiev-Zythum 2399: 2397: 947:electronic soundmaking equipment used by Oxford's 5300:". Noyzelab Blogspot.com.au (Monday, 10 November) 5266:". Ph.D. thesis. Bloomington: Indiana University. 2654:Dictionnaire des musiques microtonales: 1892–2013 163:, writing in Spanish or French, coined the terms 5435:– links to microtonal composers and compositions 4362:(Second ed.). London: Macmillan Publishers. 4347:(Second ed.). London: Macmillan Publishers. 4193:(Second ed.). London: Macmillan Publishers. 4085:Synthesizer Performance and Real-time Techniques 3638:Microchromatics in Music of the Late Renaissance 3120:The Cambridge History of Twentieth-Century Music 2803:(Second ed.). London: Macmillan Publishers. 2739:(Second ed.). London: Macmillan Publishers. 2660:] (in French). Paris: L'Harmattan. pp. 2509:L'anglais musicologique: l'anglais des musiciens 2219: – Device to test musical instrument tuning 1568:(Great Britain, b. 1943, quarter tones, 31ET in 1520:(France, b. 1934) (quarter tones and 16th tones) 1432:, but soon after abandoning microtonal elements) 1227:(Hungary, 1881–1945, rare uses of quarter tones) 310:from the 10th century onward, and similarly for 5441:– links to microtonal projects around the world 5255:The New Grove Dictionary of Music and Musicians 4692:"Interview with Jonny and Krzysztof Penderecki" 4360:The New Grove Dictionary of Music and Musicians 4345:The New Grove Dictionary of Music and Musicians 4191:The New Grove Dictionary of Music and Musicians 4112:. Long Grove: Waveland Press, Inc. p. 82. 3356:Belaiev, Victor (July 1935). "Turkish Music ". 3241:. Leipzig: C. F. Kahnt Nachfolger. p. 184. 3094:The New Grove Dictionary of Music and Musicians 2800:The New Grove Dictionary of Music and Musicians 2736:The New Grove Dictionary of Music and Musicians 2451:Garnier, Yves, ed. (1998). "Micro-intervalle". 1109:employs microtonal instruments in their music. 928:, which is wholly in new tunings and timbres". 267:The New Grove Dictionary of Music and Musicians 5427:Wilson Archives of papers on microtonal theory 5023:The Structure of Recognizable Diatonic Tunings 3680:Microchomatics in Contemporary Musical Thought 3339:О музыкальном фольклоре и древней письменности 3320:О музыкальном фольклоре и древней письменности 2225: – Specification of precise musical pitch 2204: – Musical tuning based on pure intervals 1478:(U.S.A., 1928–2015, 72-tone equal temperament) 892:In 1979–80 Easley Blackwood composed a set of 6689: 6567: 6055: 5479: 5404:Dr. John Chalmers Divisions of the Tetrachord 5223:Perfect Sound Forever (online music magazine) 4417:Texts 2: Essays on musical practice 1952–1962 4152:. Oxford: Clarendon Press. pp. 160–172. 2254: – Musical scale created by Harry Partch 1466:(U.S.A., 1926–2019, extended just intonation) 730:, who in the 1880s produced a translation of 611:, less than half of the contemporary Western 497:, to describe a kind of 'intervallic genus' ( 132:, (two variants of) three quarter tones flat; 8: 6130:List of intervals in 5-limit just intonation 5201:Maximum Clarity' and other writings on music 4538:Murphy, Ben (January 2017). "Making Waves". 4270:. London: Longmans, Green. pp. 514–527. 3797:] (Non-doctoral diss.). St. Petersburg: 3743:Музыкальное образование в контексте культуры 3252:Riemann, Hugo (1967). "Vierteltonmusik". In 2272: – software to work with musical scales 443:for intervals smaller than the semitone and 5296:Noyze, Dave, and Richard D. James.. 2014. " 4610:. p. 3.5.1 Supported notation for MIDI 4206:Tuning and Temperament: A Historical Survey 4137:, Hants, UK: Ashgate Publishing, p. 88 3239:Fortschrittliche Harmonie- und Melodielehre 3033:"Pythagorean Tuning and Medieval Polyphony" 2408:(paperback). Courlay: Fuzeau. p. 119. 687:in September 1764, the celebrated flautist 429:, and in the second edition of the popular 90:tuning of twelve equal intervals per octave 6724: 6696: 6682: 6674: 6574: 6560: 6552: 6239: 6062: 6048: 6040: 5733: 5486: 5472: 5464: 4514:"Three Asymmetric Divisions of the Octave" 4471:Blackwood, Easley; Kust, Jeffrey (2005) , 4284:Proceedings of the Royal Society of London 3343:On Musical Folklore and Ancient Literature 3324:On Musical Folklore and Ancient Literature 2841:Enharmonic instruments and music 1470–1900 2658:Dictionary of Microtonal Musics: 1892–2013 1010:have incorporated microtonal guitars like 493:(microchromatics), coined in the 1970s by 5298:Aphex Twin Syrobonkers! Interview: Part 2 5025:. Princeton: Princeton University Press. 4473:Easley Blackwood: Microtonal Compositions 3768:] (in Russian). Kyiv: Naukova Dumka. 3491:Музыка ХХ века. Энциклопедический словарь 3149:. Oxford: Clarendon Press. p. 127n1. 2901: 2871:. New York: Alfred A. Knopf. p. 234. 2725:Richter, Lukas (2001). "Diesis (ii)". In 2557: 1163:Learn how and when to remove this message 452:, has been used by theorist Marek Žabka. 5104:, second edition. London: Tadema Press. 4762:Heavenly Recordings (11 November 2016). 4058:Xenharmonic Wiki blog at macrospaces.com 4108:Spring, Glenn; Hutcheson, Jere (2013). 3747:Music education in the cultural context 3118:Cook, Nicholas; Pople, Anthony (2004). 2440:and Vladimir Fèdorov. Paris: Fasquelle. 2292: 5253:Lindley, Mark. 2001b. "Temperaments". 4181:Lindley, Mark (2001). "Mean-tone". In 4087:. Madison: A-R Editions. p. 239. 3696:More references can be located on the 1842:(b. 1965) (extended JI up to 23-limit) 1830:(b. 1962) (quarter tones, eight tones) 1556:(U.S.A., b. 1939, non-octaving scales) 1416:(France, 1925–2016) (first example of 3453:Музыкальный энциклопедический словарь 1221:(mostly Spanish but some English too) 589:) on E, divided into two tetrachords. 7: 5154:. New Haven: Yale University Press. 3948:Université Paris-Sorbonne (Paris IV) 3619:Urals Mussorgsky State Conservatoire 3188:. Leipzig: Verlag F. E. C. Leuckart. 3058:. Medieval Music and Arts Foundation 3035:. Medieval Music and Arts Foundation 1619:Michael Tilson Thomas (MTT) (b.1944) 1550:(b. 1938, just intonation, meantone) 1345:(U.S.A., 1917–2003, just intonation) 1145:adding citations to reliable sources 657:, maintaining major thirds tuned in 80:is the use in music of microtones — 4886:http://www.playingwithstandards.com 4874:http://www.playingwithstandards.com 3705:[Search for dissertations]. 3008:Geschichte der Musiktheorie, Vol. 2 2869:Shining Trumpets: A History of Jazz 2617:A Dictionary for the Modern Flutist 1594:Modern Western microtonal composers 517:(microtonic, "a barely perceptible 372:. Traditional Indian systems of 22 2302:Perspectives on American Composers 2281: – Theory of microtonal music 1538:(U.S.A., b. 1935, just intonation) 1532:(U.S.A., b. 1935, just intonation) 1508:(Poland, 1933–2020, quarter tones) 1404:(France, 1924–2004, quarter tones) 1327:(The Netherlands, 1907–1987, 31ET) 1293:(U.S.A., 1887–1974, quarter tones) 1207:(U.S.A., 1874–1954, quarter tones) 1062:King Gizzard and the Lizard Wizard 25: 2406:Histoire de l'acoustique musicale 1900:Fabio Costa (composer, conductor) 1420:with quarter tones in his pieces 1233:(Romania, France, 1881–1955) (in 990:A form of microtone known as the 858:Microtonality in electronic music 790:Prélude à l'après-midi d'un faune 765:Fantaisie for piano and orchestra 627:Vicentino's archicembalo in cents 483:, preferred using the Greek word 342:Columbia History of Music, Vol. 5 7111: 7102: 7101: 6205:Ptolemy's intense diatonic scale 5662: 5657: 5273:Hans Zender: Vielstimmig in sich 5210:Österreichische Musikzeitschrift 5191:. Leipzig: Kistner & Siegel. 4148:West, Martin Litchfield (1992). 3530:Музыкально-теоретические системы 3514:The Theory of Modern Composition 1544:(U.S.A., b. 1938, quarter tones) 1121: 962:Limitations of some synthesizers 887:Spiritus intelligentiae, sanctus 575: 540:'s chords of stacked fifths, to 536:'s impressionistic harmonies to 150:in order to avoid the misnomer " 62: 53: 5445:Offtonic Microtonal Synthesizer 5415:Solís Winkler, Ernesto. 2004. " 4938:Online edition of the 1529 text 3457:Musical Encyclopedic Dictionary 3184:Möllendorff, Willy von (1917). 2882:Cutting, Court B (2019-01-17). 2712:The Harvard Dictionary of Music 2459:Nouveau Larousse encyclopédique 1193:Sonatas for Solo Violin, Op. 27 1132:needs additional citations for 768:and the Toccata from the suite 286:, the several divisions of the 6975:Modes of limited transposition 5347:127, no. 1719 (June): 328–330. 3789:Adèr, Lidiâ Olegovna (2013). 3143:Strangways, A. H. Fox (1914). 2367:American Journal of Psychology 2346:Journal of the Society of Arts 1986:Western microtonal researchers 1313:43 unequal tones to the octave 850:Digital synthesizers from the 814:Cloches à travers les feuilles 751:Exposition Universelle of 1889 431:Brockhaus Riemann Musiklexikon 332:". In Court B. Cutting's 2019 302:, and small intervals used in 1: 4698:. BBC Radio 4. Archived from 4229:Koenig, Laura Jeanne (1995). 3510:Теория современной композиции 3508:Tsenova, V. S. , ed. (2007). 1866:(b. 1967) (Polymicrotonality) 1185:(keyboard designs, 1825–1890) 677:L'Art de la flute traversiere 122:residing outside the Western 6168:Harry Partch's 43-tone scale 5865:Harry Partch's 43-tone scale 5419:". (Accessed 19 August 2008) 5397:Nicola Vicentino (1511–1576) 5368:34, no. 1 (Winter): 140–161. 5338:39, no. 2 (Summer): 159–210. 5262:Mandelbaum, M. Joel. 1961. " 5248:29, no. 2 (Summer): 202–211. 5042:29, no. 2 (Summer): 166–200. 3910:; Vaggione, Horacio (eds.). 3555:Гармония. Теоретический курс 664:In 1760 the French flautist 7025:Quartal and quintal harmony 6714:List of modernist composers 5988:Sonata for Microtonal Piano 5439:Projects – Xenharmonic Wiki 5226:(accessed 6 December 2008). 4856:Microtonal composition for 4793:Pooja Bale (4 April 2021). 4204:Barbour, J. Murray (1951). 3760:Kogut, Gennady. A. (2005). 3717:Kholopov, Yuri Nikolaevich 3682:] (PhD diss.). Moscow: 3659:] (PhD diss.). Moscow: 3594:] (PhD diss.). Moscow: 3560:Harmony: Theoretical Course 3552:Kholopov, Yuri N. (2003), 3535:Musical-Theoretical Systems 3282:; Oehl, Kurt, eds. (1995). 3006:; Zaminer, Frieder (eds.). 2889:Empirical Musicology Review 2839:Barbieri, Patrizio (2008). 2761:Harvard Dictionary of Music 2615:Maclagan, Susan J. (2009). 2507:Whitfield, Charles (1989). 1782:(b. 1959) (just intonation) 1271:(France, U.S.A., 1883–1965) 1176:Western microtonal pioneers 1105:American instrumental trio 986:Microtonality in rock music 350:Geschichte der Musiktheorie 239:Harvard Dictionary of Music 138:, three quarter tones sharp 7164: 6135:List of meantone intervals 5995:Suite for Microtonal Piano 4819:K, Noah; K, Rosie (2018). 4721:Couture, François (n.d.). 4489:Blackwood, Easley (n.d.), 4135:Louis Andriessen, De Staat 4133:Adlington, Robert (2004), 3912:Manières de faire des sons 3472:Музыкальный словарь Гроува 2977:Prieberg, Fred K. (1960). 2962:Prieberg, Fred K. (1958). 2814:Von Gunden, Heidi (1986). 2434:Encyclopédie de la musique 1884:, aka Aphex Twin (b. 1971) 36: 29: 7089: 6711: 6589: 6125:List of musical intervals 6120:Consonance and dissonance 5947:Huygens-Fokker Foundation 5935:Boston Microtonal Society 5655: 5433:Listen – Xenharmonic Wiki 5366:Perspectives of New Music 5336:Perspectives of New Music 5246:Perspectives of New Music 5239:(accessed 31 March 2009). 5233:Yuichi Onoue's Kaisatsuko 5152:Harry Partch: A Biography 5040:Perspectives of New Music 5021:Blackwood, Easley. 1985. 4433:Perspectives of New Music 3674:Nikoltsev, I. D. (2013). 3632:Polunina, E. N. (2010). 3417:Perspectives of New Music 3280:Eggebrecht, Hans Heinrich 3258:Eggebrecht, Hans Heinrich 2903:10.18061/emr.v13i1-2.6316 2816:The Music of Ben Johnston 2559:2027/spo.bbp2372.1982.033 2550:10.1080/07494468400640081 2542:Contemporary Music Review 2197:Huygens-Fokker Foundation 2180:Fokker periodicity blocks 1680:(b. 1951) (quarter tones) 1321:(Norway, 1901–1977, 53ET) 736:On the Sensations of Tone 312:Persian traditional music 298:", as well as the Indian 5092:9, no. 1 (Spring): 2–51. 4930:Thoscanello de la musica 4884:the quartertone pianos: 4872:the quartertone pianos: 4389:10.1525/mts.2001.23.1.61 3721:Музыкальная энциклопедия 3401:10.1215/00222909-2781769 3237:Capellen, Georg (1908). 3087:(1980). "Microtone". In 2484:L'allemand musicologique 2436:. in collaboration with 2260: – Musical interval 1071:Flying Microtonal Banana 695:Jacques Fromental Halévy 689:Pierre-Gabriel Buffardin 7148:Post-tonal music theory 5897:Otonality and Utonality 5408:Loli, Charles. 2008. " 5212:63, no. 7 (July): 8–15. 5089:Journal of Music Theory 5049:The Psychology of Music 4083:Pressing, Jeff (1992). 3609:Gurenko, N.A. (2010). 3586:Klishin, A. G. (2010). 3388:Journal of Music Theory 2964:Lexikon der Neuen Musik 2685:Rigoni, Michel (1998). 2482:Wallon, Simone (1980). 2193: – Aspect of music 1962:, aka Sevish, (b. 1988) 1768:Michael Bach Bachtischa 1086:, and their 2021 album 994:is an integral part of 949:De La Warr Laboratories 784:La cathédrale engloutie 154:" when speaking of the 7076:Second Viennese School 7069:Schools of composition 5594:Claus-Steffen Mahnkopf 5119:Archaeologia Musicalis 5073:Colonna, Fabio. 1618. 5064:Carr, Vanessa. 2008. " 4984:Piano: An Encyclopedia 4263:Helmholtz, Hermann von 4249:Historical Performance 3651:Rovner, A. A. (2010). 3476:Grove Music Dictionary 3186:Musik mit Vierteltönen 3146:The Music of Hindostan 2639:Donval (2006), p. 183. 2404:Donval, Serge (2006). 2252:Partch's 43-tone scale 1828:Claus-Steffen Mahnkopf 1012:31-tone equal tempered 675:published a treatise, 645:composer and theorist 628: 7060:Twelve-tone technique 6599:Fundamental frequency 6392:Temperament ordinaire 5770:(Bohlen–Pierce scale) 5714:Tui St. George Tucker 5279:, Anouk Jeschke, and 5231:Landman, Yuri. n.d. " 5196:Johnston, Ben. 2006. 5168:Haas, Georg Friedrich 5066:These Are Ghost Punks 4799:The Daily Californian 4684:Penderecki, Krzysztof 4444:: 105, 116, 119–121. 4376:Music Theory Spectrum 4060:. n.d. Archived from 4035:The Musical Quarterly 3916:Ways of making sounds 3814:Музыкальная Академия 3359:The Musical Quarterly 2174:Continuum Fingerboard 2167: – musical scale 2011:Adriaan Daniël Fokker 1442:, just intonation in 1436:Karlheinz Stockhausen 1408:Tui St. George Tucker 1386:(Hungary, 1923–2006, 1014:guitar and a 62-tone 869:built his electronic 867:Karlheinz Stockhausen 841:Adriaan Daniel Fokker 626: 344:. In German the term 296:mean-tone temperament 282:melodic intervals of 6195:List of compositions 6024:Generalized keyboard 5519:Easley Blackwood Jr. 5353:Wyschnegradsky, Ivan 5150:Gilmore, Bob. 1998. 5098:Dumbrill, Richard J. 4945:Toscanello in musica 4943:. Third edition, as 4017:] (in Spanish). 3990:Conti, Luca (2008), 3971:Conti, Luca (2005), 3950:. pp. 169–175. 3940:Jedrzejewski, Franck 3725:Musical Encyclopedia 3372:10.1093/mq/XXI.3.356 3265:: Volume 3, Sachteil 3263:Riemann Musiklexikon 3220:Listy hudební matice 2749:Apel (1974), p. 188. 2650:Jedrzejewski, Franck 2223:MIDI tuning standard 1726:Stephen James Taylor 1702:Georg Friedrich Haas 1506:Krzysztof Penderecki 1287:, noise instruments) 1141:improve this article 1018:guitar in blues and 935:by British composer 878:Gesang der Jünglinge 808:Danseuses de Delphes 728:Alexander John Ellis 699:Choeur des Océanides 636:19 equal temperament 602:, recognizing three 546:Clouds of Forgetting 426:Riemann Musiklexikon 412:A. H. Fox Strangways 386:meantone temperament 134:quarter tone sharp, 7143:Ancient Greek music 6019:Enharmonic keyboard 5970:quarter tone pieces 5964:Beauty in the Beast 5644:Ivan Wyschnegradsky 5187:Hába, Alois. 1927. 5127:Fritsch, Johannes G 4949:Toscanello in music 4774:on 11 December 2016 4746:{{cite web | url = 4664:Monzo, Joe (1998). 4475:(Second ed.), 4440:(1). Translated by 4297:1884RSPS...37..368E 4150:Ancient Greek Music 3762:Микротоновая музыка 3703:"Поиск диссертаций" 3684:Moscow Conservatory 3661:Moscow Conservatory 3617:] (PhD diss.). 3596:Moscow Conservatory 2710:Apel, Will (1974). 2341:Ellis, Alexander J. 2165:Bohlen–Pierce scale 2017:Ivan Wyschnegradsky 1882:Richard David James 1472:(U.S.A., 1927–2009) 1351:(U.S.A., 1917–1994) 1303:Ivan Wyschnegradsky 1245:ancient Greek music 1107:Consider the Source 1080:, their 2020 album 978:'s implementation. 926:Beauty in the Beast 921:Beauty In the Beast 830:Ivan Wyschnegradsky 718:Ivan Wyschnegradsky 585:Greek Dorian mode ( 550:Clouds of Unknowing 437:Ivan Wyschnegradsky 308:Arabic music theory 246:'s use of the term 148:Maud MacCarthy Mann 128:quarter tone flat, 6653:Sympathetic string 6429:Chinese musicology 6215:Scale of harmonics 6210:Pythagorean tuning 6158:Euler–Fokker genus 5941:Genesis of a Music 5569:Christiaan Huygens 5456:2020-11-23 at the 5389:Aikin, Jim. 2003. 5327:Ugarit-Forschungen 4316:Genesis of a Music 2131:Mathius Shadow-Sky 2047:Jean-Etienne Marie 1999:Christiaan Huygens 1924:Karola Obermueller 1586:Mathius Shadow-Sky 1361:Franz Richter Herf 1355:Jean-Etienne Marie 1025:English rock band 1006:Musicians such as 632:Guillaume Costeley 629: 481:Salzburg Mozarteum 470:Franz Richter Herf 456:proposed the term 7125: 7124: 6934: 6933: 6671: 6670: 6648:Spectral envelope 6549: 6548: 6415: 6414: 6037: 6036: 6029:Modernism (music) 5878: 5877: 5779:Equal temperament 5549:Brian Ferneyhough 5381:Microtone (music) 5357:La Revue Musicale 5345:The Musical Times 5318:978-3-631-58902-1 5289:978-3-936000-25-2 5281:Jörn Peter Hiekel 5180:978-3-7957-1837-4 5143:978-3-7957-1837-4 5135:Jörn Peter Hiekel 4690:(23 March 2012). 4119:978-1-4786-0722-9 4094:978-0-89579-257-0 3957:978-80-86385-27-3 3925:978-2-296-12959-7 3304:La Revue musicale 3254:Gurlitt, Wilibald 3004:von Loesch, Heinz 2935:(1152): 102–104. 2928:The Musical Times 2850:978-88-95203-14-0 2770:978-0-674-01163-2 2696:978-2-911906-02-2 2671:978-2-343-03540-6 2626:978-0-8108-6711-6 2601:978-1-4094-2696-7 2468:978-2-03-153132-6 2415:978-2-84169-152-4 2311:978-0-393-02155-4 1993:Mordecai Sandberg 1918:Kristoffer Zegers 1822:Daniel James Wolf 1566:Brian Ferneyhough 1502:(U.S.A., b. 1932) 1496:(U.S.A., b. 1931) 1423:Le Visage nuptial 1275:Mordecai Sandberg 1251:Karol Szymanowski 1173: 1172: 1165: 757:heard a Balinese 732:Hermann Helmholtz 685:Mercure de France 581: 542:John Luther Adams 370:equal temperament 354:avant-garde music 228:micro-intervalité 204:micro-intervalité 94:equal temperament 68: 58: 16:(Redirected from 7155: 7115: 7105: 7104: 7081:Darmstadt School 7015:Post-romanticism 6725: 6698: 6691: 6684: 6675: 6576: 6569: 6562: 6553: 6388:Well temperament 6374:Regular diatonic 6240: 6220:Tonality diamond 6064: 6057: 6050: 6041: 5917:Tonality diamond 5740:repeating scales 5734: 5719:Nicola Vicentino 5666: 5661: 5629:Nicola Vicentino 5554:Michael Finnissy 5495:Microtonal music 5488: 5481: 5474: 5465: 5402:Chalmers, John. 5369: 5360: 5348: 5339: 5330: 5321: 5306:Stahnke, Manfred 5301: 5292: 5277:Werner Grünzweig 5267: 5258: 5249: 5240: 5227: 5213: 5204: 5200: 5192: 5183: 5163: 5146: 5122: 5121:2, no. 2:98–100. 5113: 5093: 5082: 5069: 5060: 5043: 5034: 5017: 5010:Barlow, Clarence 5005: 4996: 4987: 4978: 4961: 4952: 4942: 4921: 4915: 4900: 4894: 4888: 4882: 4876: 4870: 4864: 4854: 4848: 4842: 4836: 4835: 4833: 4831: 4816: 4810: 4809: 4807: 4805: 4790: 4784: 4783: 4781: 4779: 4770:. Archived from 4768:Heavenly Records 4759: 4753: 4744: 4738: 4737: 4735: 4733: 4718: 4712: 4711: 4709: 4707: 4688:Greenwood, Jonny 4679: 4670: 4669: 4661: 4655: 4654: 4633: 4627: 4626: 4617: 4615: 4600:LilyPond project 4596: 4590: 4589: 4587: 4586: 4575: 4569: 4568: 4566: 4565: 4550: 4544: 4543: 4540:Electronic Sound 4535: 4529: 4528: 4526: 4524: 4506: 4500: 4499: 4486: 4480: 4479: 4468: 4462: 4461: 4427: 4421: 4420: 4408: 4402: 4399: 4393: 4392: 4370: 4364: 4363: 4355: 4349: 4348: 4341:Lesure, François 4337: 4331: 4330: 4307: 4301: 4300: 4278: 4272: 4271: 4259: 4253: 4252: 4244: 4238: 4237: 4232:Air à la grecque 4226: 4220: 4219: 4201: 4195: 4194: 4178: 4172: 4163: 4145: 4139: 4138: 4130: 4124: 4123: 4105: 4099: 4098: 4080: 4074: 4073: 4071: 4069: 4064:on July 14, 2016 4050: 4044: 4043: 4029: 4023: 4022: 4006: 4000: 3999: 3987: 3981: 3980: 3968: 3962: 3961: 3936: 3930: 3929: 3903: 3897: 3896: 3894: 3892: 3878: 3872: 3871: 3869: 3867: 3853: 3847: 3846: 3844: 3842: 3828: 3822: 3821: 3809: 3803: 3802: 3786: 3780: 3779: 3766:Microtonal Music 3757: 3751: 3750: 3739:Kholopov, Y. N. 3735: 3729: 3728: 3713: 3707: 3706: 3694: 3688: 3687: 3671: 3665: 3664: 3648: 3642: 3641: 3629: 3623: 3622: 3606: 3600: 3599: 3583: 3577: 3576: 3565: 3549: 3543: 3542: 3540: 3524: 3518: 3517: 3505: 3499: 3498: 3489:Akopyan, Levon. 3486: 3480: 3479: 3467: 3461: 3460: 3448: 3442: 3441: 3411: 3405: 3404: 3382: 3376: 3375: 3353: 3347: 3346: 3334: 3328: 3327: 3315: 3309: 3308: 3307:(290–91): 84–87. 3298: 3292: 3291: 3278:Dahlhaus, Carl; 3275: 3269: 3268: 3249: 3243: 3242: 3234: 3228: 3227: 3215: 3209: 3208: 3196: 3190: 3189: 3181: 3175: 3174: 3157: 3151: 3150: 3140: 3134: 3133: 3115: 3109: 3108: 3077: 3068: 3067: 3065: 3063: 3051: 3045: 3044: 3042: 3040: 3028: 3022: 3021: 2995: 2989: 2988: 2974: 2968: 2967: 2959: 2953: 2952: 2922: 2916: 2915: 2905: 2879: 2873: 2872: 2861: 2855: 2854: 2836: 2830: 2829: 2811: 2805: 2804: 2790: 2775: 2774: 2756: 2750: 2747: 2741: 2740: 2722: 2716: 2715: 2707: 2701: 2700: 2682: 2676: 2675: 2646: 2640: 2637: 2631: 2630: 2612: 2606: 2605: 2587: 2581: 2580: 2570: 2564: 2563: 2561: 2529: 2523: 2522: 2504: 2498: 2497: 2479: 2473: 2472: 2448: 2442: 2441: 2426: 2420: 2419: 2401: 2392: 2391: 2374:(3–4): 192–214. 2361: 2355: 2354: 2337: 2331: 2330: 2322: 2316: 2315: 2297: 2275: 2242: 2228: 2213: 2170: 2157: 2152:Arab tone system 2107:William Sethares 1864:Peter Thoegersen 1780:Michael Harrison 1574:La Chute d'Icare 1512:Easley Blackwood 1373: 1241:enharmonic genus 1199:Ferruccio Busoni 1183:Henry Ward Poole 1168: 1161: 1157: 1154: 1148: 1125: 1117: 1060:Australian band 863:Electronic music 681:Air à la grecque 674: 666:Charles de Lusse 647:Nicola Vicentino 587:enharmonic genus 583: 582: 554:Louis Andriessen 507:микротональность 499:интервальный род 478: 421:Vierteltonsystem 417:Viertelton-Musik 184:micro-intervalle 144:Microtonal music 70: 69: 60: 59: 21: 18:Microtonal music 7163: 7162: 7158: 7157: 7156: 7154: 7153: 7152: 7128: 7127: 7126: 7121: 7098: 7085: 7064: 6990:New Objectivity 6943: 6941: 6930: 6894: 6716: 6707: 6705:Modernist music 6702: 6672: 6667: 6616:Microinflection 6594:Colors of noise 6585: 6580: 6550: 6545: 6542:(Bohlen–Pierce) 6510:833 cents scale 6498: 6421: 6411: 6378: 6331: 6229: 6150:Just intonation 6144: 6073: 6071:Musical tunings 6068: 6038: 6033: 6007: 5951: 5927: 5921: 5884: 5874: 5870:Double diatonic 5857:Just intonation 5851: 5773: 5739: 5729: 5723: 5667: 5653: 5599:Joel Mandelbaum 5529:Julián Carrillo 5509:Richard Barrett 5497: 5492: 5458:Wayback Machine 5377: 5372: 5363: 5351: 5342: 5333: 5324: 5304: 5295: 5270: 5261: 5252: 5243: 5237:Hypercustom.com 5230: 5216: 5207: 5198: 5195: 5186: 5166: 5149: 5125: 5116: 5096: 5085: 5079:Scipione Stella 5072: 5063: 5046: 5037: 5020: 5014:Feedback Papers 5008: 4999: 4990: 4981: 4964: 4955: 4940: 4924: 4918: 4913: 4909: 4907:Further reading 4904: 4903: 4895: 4891: 4883: 4879: 4871: 4867: 4855: 4851: 4843: 4839: 4829: 4827: 4818: 4817: 4813: 4803: 4801: 4792: 4791: 4787: 4777: 4775: 4761: 4760: 4756: 4745: 4741: 4731: 4729: 4720: 4719: 4715: 4705: 4703: 4681: 4680: 4673: 4663: 4662: 4658: 4651: 4635: 4634: 4630: 4620:Microtones but 4613: 4611: 4598: 4597: 4593: 4584: 4582: 4577: 4576: 4572: 4563: 4561: 4552: 4551: 4547: 4537: 4536: 4532: 4522: 4520: 4518:wendycarlos.com 4508: 4507: 4503: 4497:Cedille Records 4488: 4487: 4483: 4477:Cedille Records 4470: 4469: 4465: 4429: 4428: 4424: 4410: 4409: 4405: 4400: 4396: 4372: 4371: 4367: 4357: 4356: 4352: 4339: 4338: 4334: 4327: 4309: 4308: 4304: 4280: 4279: 4275: 4261: 4260: 4256: 4246: 4245: 4241: 4228: 4227: 4223: 4216: 4203: 4202: 4198: 4180: 4179: 4175: 4160: 4147: 4146: 4142: 4132: 4131: 4127: 4120: 4107: 4106: 4102: 4095: 4082: 4081: 4077: 4067: 4065: 4052: 4051: 4047: 4031: 4030: 4026: 4008: 4007: 4003: 3989: 3988: 3984: 3970: 3969: 3965: 3958: 3938: 3937: 3933: 3926: 3908:Soulez, Antonia 3905: 3904: 3900: 3890: 3888: 3880: 3879: 3875: 3865: 3863: 3855: 3854: 3850: 3840: 3838: 3830: 3829: 3825: 3811: 3810: 3806: 3788: 3787: 3783: 3776: 3759: 3758: 3754: 3737: 3736: 3732: 3715: 3714: 3710: 3701: 3695: 3691: 3673: 3672: 3668: 3650: 3649: 3645: 3631: 3630: 3626: 3608: 3607: 3603: 3585: 3584: 3580: 3574: 3563: 3551: 3550: 3546: 3538: 3526: 3525: 3521: 3507: 3506: 3502: 3488: 3487: 3483: 3469: 3468: 3464: 3450: 3449: 3445: 3413: 3412: 3408: 3384: 3383: 3379: 3355: 3354: 3350: 3336: 3335: 3331: 3317: 3316: 3312: 3300: 3299: 3295: 3277: 3276: 3272: 3251: 3250: 3246: 3236: 3235: 3231: 3226:: 35–40, 51–57. 3217: 3216: 3212: 3198: 3197: 3193: 3183: 3182: 3178: 3172: 3159: 3158: 3154: 3142: 3141: 3137: 3130: 3117: 3116: 3112: 3105: 3081:Griffiths, Paul 3079: 3078: 3071: 3061: 3059: 3053: 3052: 3048: 3038: 3036: 3030: 3029: 3025: 3018: 2997: 2996: 2992: 2976: 2975: 2971: 2961: 2960: 2956: 2924: 2923: 2919: 2881: 2880: 2876: 2863: 2862: 2858: 2851: 2838: 2837: 2833: 2826: 2813: 2812: 2808: 2792: 2791: 2778: 2771: 2758: 2757: 2753: 2748: 2744: 2724: 2723: 2719: 2709: 2708: 2704: 2697: 2684: 2683: 2679: 2672: 2648: 2647: 2643: 2638: 2634: 2627: 2614: 2613: 2609: 2602: 2589: 2588: 2584: 2572: 2571: 2567: 2531: 2530: 2526: 2519: 2506: 2505: 2501: 2494: 2481: 2480: 2476: 2469: 2450: 2449: 2445: 2438:François Lesure 2428: 2427: 2423: 2416: 2403: 2402: 2395: 2380:10.2307/1412315 2363: 2362: 2358: 2339: 2338: 2334: 2324: 2323: 2319: 2312: 2299: 2298: 2294: 2289: 2284: 2273: 2240: 2226: 2211: 2202:Just intonation 2168: 2155: 2141: 2136: 2089:Clarence Barlow 2065:Joel Mandelbaum 2005:Julián Carrillo 1988: 1983: 1930:Martin Suckling 1906:Sander Germanus 1792:Richard Barrett 1744:Johnny Reinhard 1672:Manfred Stahnke 1636:Elizabeth Brown 1601:Clarence Barlow 1596: 1591: 1542:John Corigliano 1518:Alain Bancquart 1500:Joel Mandelbaum 1363: 1337:Giacinto Scelsi 1239:to suggest the 1211:Julián Carrillo 1178: 1169: 1158: 1152: 1149: 1138: 1126: 1115: 1040:Secret Chiefs 3 1016:just intonation 988: 964: 954:Finnish artist 945:radionics-based 941:web application 916:just intonation 860: 710:Julián Carrillo 668: 659:just intonation 618:just intonation 592: 591: 590: 584: 576: 573: 572: 566: 472: 445:infra-chromatic 441:ultra-chromatic 405:just intonation 382:just intonation 366: 304:Byzantine chant 292:just intonation 224:micro-intervale 161:Julián Carrillo 141: 140: 139: 133: 127: 114: 113: 107: 102: 84:smaller than a 75: 74: 73: 71: 63: 61: 54: 52: 49: 48: 42: 35: 28: 23: 22: 15: 12: 11: 5: 7161: 7159: 7151: 7150: 7145: 7140: 7130: 7129: 7123: 7122: 7120: 7119: 7109: 7095:Romantic music 7091: 7090: 7087: 7086: 7084: 7083: 7078: 7072: 7070: 7066: 7065: 7063: 7062: 7057: 7052: 7047: 7042: 7037: 7032: 7027: 7022: 7017: 7012: 7007: 7002: 7000:Pandiatonicism 6997: 6992: 6987: 6985:New Complexity 6982: 6977: 6972: 6967: 6962: 6957: 6952: 6946: 6944: 6939: 6936: 6935: 6932: 6931: 6929: 6928: 6927: 6926: 6921: 6916: 6911: 6905:United States 6902: 6900: 6896: 6895: 6893: 6892: 6891: 6890: 6885: 6880: 6872: 6871: 6870: 6862: 6861: 6860: 6852: 6851: 6850: 6842: 6841: 6840: 6835: 6827: 6826: 6825: 6820: 6815: 6810: 6805: 6800: 6792: 6791: 6790: 6782: 6781: 6780: 6772: 6771: 6770: 6762: 6761: 6760: 6755: 6750: 6745: 6740: 6731: 6729: 6722: 6718: 6717: 6712: 6709: 6708: 6703: 6701: 6700: 6693: 6686: 6678: 6669: 6668: 6666: 6665: 6660: 6655: 6650: 6645: 6638: 6633: 6628: 6623: 6618: 6613: 6608: 6601: 6596: 6590: 6587: 6586: 6581: 6579: 6578: 6571: 6564: 6556: 6547: 6546: 6544: 6543: 6537: 6532: 6527: 6522: 6517: 6512: 6506: 6504: 6500: 6499: 6497: 6496: 6491: 6486: 6476: 6471: 6466: 6465: 6464: 6459: 6454: 6449: 6441: 6436: 6431: 6425: 6423: 6417: 6416: 6413: 6412: 6386: 6384: 6380: 6379: 6377: 6376: 6371: 6366: 6361: 6356: 6341: 6339: 6333: 6332: 6330: 6329: 6324: 6319: 6314: 6309: 6304: 6299: 6294: 6284: 6279: 6274: 6269: 6264: 6259: 6254: 6248: 6246: 6237: 6231: 6230: 6228: 6227: 6222: 6217: 6212: 6207: 6202: 6197: 6192: 6191: 6190: 6185: 6175: 6170: 6165: 6163:Harmonic scale 6160: 6154: 6152: 6146: 6145: 6143: 6142: 6137: 6132: 6127: 6122: 6117: 6112: 6110:Interval ratio 6107: 6102: 6097: 6092: 6087: 6081: 6079: 6075: 6074: 6069: 6067: 6066: 6059: 6052: 6044: 6035: 6034: 6032: 6031: 6026: 6021: 6015: 6013: 6009: 6008: 6006: 6005: 5998: 5991: 5984: 5977: 5972: 5967: 5959: 5957: 5953: 5952: 5950: 5949: 5944: 5937: 5931: 5929: 5923: 5922: 5920: 5919: 5914: 5912:Xenharmonicity 5909: 5904: 5899: 5894: 5888: 5886: 5880: 5879: 5876: 5875: 5873: 5872: 5867: 5861: 5859: 5853: 5852: 5850: 5849: 5844: 5839: 5834: 5829: 5824: 5819: 5814: 5809: 5804: 5799: 5794: 5789: 5783: 5781: 5775: 5774: 5772: 5771: 5765: 5760: 5755: 5750: 5744: 5742: 5731: 5725: 5724: 5722: 5721: 5716: 5711: 5706: 5701: 5696: 5694:Adriaan Fokker 5691: 5686: 5681: 5675: 5673: 5669: 5668: 5656: 5654: 5652: 5651: 5649:La Monte Young 5646: 5641: 5636: 5631: 5626: 5621: 5616: 5614:John Schneider 5611: 5606: 5601: 5596: 5591: 5586: 5581: 5576: 5571: 5566: 5561: 5559:Bjørn Fongaard 5556: 5551: 5546: 5541: 5539:Mildred Couper 5536: 5531: 5526: 5521: 5516: 5511: 5505: 5503: 5499: 5498: 5493: 5491: 5490: 5483: 5476: 5468: 5462: 5461: 5448: 5442: 5436: 5430: 5420: 5413: 5410:Microtonalismo 5406: 5400: 5393: 5387: 5376: 5375:External links 5373: 5371: 5370: 5361: 5359:no. 171:26–33. 5349: 5340: 5331: 5322: 5302: 5293: 5268: 5259: 5250: 5241: 5228: 5214: 5205: 5193: 5184: 5164: 5147: 5123: 5114: 5094: 5083: 5070: 5061: 5044: 5035: 5018: 5006: 4997: 4988: 4979: 4962: 4953: 4922: 4916: 4910: 4908: 4905: 4902: 4901: 4889: 4877: 4865: 4849: 4837: 4811: 4785: 4754: 4739: 4713: 4682:Wilson, John; 4671: 4656: 4649: 4628: 4591: 4570: 4558:Bandcamp Daily 4545: 4530: 4501: 4481: 4463: 4450:10.2307/833578 4422: 4403: 4394: 4365: 4350: 4332: 4325: 4302: 4273: 4254: 4239: 4221: 4214: 4196: 4183:Sadie, Stanley 4173: 4158: 4140: 4125: 4118: 4100: 4093: 4075: 4045: 4024: 4001: 3982: 3963: 3956: 3931: 3924: 3898: 3873: 3848: 3823: 3804: 3781: 3774: 3752: 3730: 3708: 3689: 3666: 3643: 3624: 3601: 3578: 3572: 3544: 3519: 3500: 3481: 3462: 3443: 3430:10.2307/833077 3424:(1): 212–235. 3406: 3395:(2): 179–233. 3377: 3366:(3): 356–367. 3348: 3329: 3310: 3293: 3270: 3244: 3229: 3210: 3191: 3176: 3170: 3152: 3135: 3128: 3110: 3103: 3089:Sadie, Stanley 3069: 3046: 3023: 3016: 3000:Ertelt, Thomas 2990: 2969: 2954: 2941:10.2307/923814 2917: 2874: 2856: 2849: 2831: 2824: 2806: 2776: 2769: 2751: 2742: 2727:Sadie, Stanley 2717: 2702: 2695: 2677: 2670: 2641: 2632: 2625: 2607: 2600: 2582: 2565: 2524: 2517: 2499: 2492: 2474: 2467: 2443: 2421: 2414: 2393: 2356: 2332: 2317: 2310: 2291: 2290: 2288: 2285: 2283: 2282: 2276: 2267: 2261: 2255: 2249: 2246:Musical tuning 2243: 2234: 2232:Music of India 2229: 2220: 2214: 2205: 2199: 2194: 2188: 2182: 2177: 2171: 2162: 2149: 2142: 2140: 2137: 2135: 2134: 2128: 2122: 2116: 2110: 2104: 2098: 2095:Valeri Brainin 2092: 2086: 2080: 2077:Seppe Gebruers 2074: 2068: 2062: 2056: 2050: 2044: 2041:Alain Daniélou 2038: 2032: 2026: 2020: 2014: 2008: 2002: 1996: 1989: 1987: 1984: 1982: 1981: 1975: 1969: 1966:Seppe Gebruers 1963: 1960:Sean Archibald 1957: 1951: 1948:Michael Waller 1945: 1939: 1933: 1927: 1921: 1915: 1909: 1903: 1897: 1891: 1888:Paweł Mykietyn 1885: 1879: 1873: 1867: 1861: 1855: 1849: 1843: 1837: 1834:Harold Fortuin 1831: 1825: 1819: 1813: 1810:François Paris 1807: 1804:William Susman 1801: 1795: 1789: 1783: 1777: 1771: 1765: 1759: 1753: 1747: 1741: 1735: 1732:Pascal Dusapin 1729: 1723: 1720:Paul Dirmeikis 1717: 1714:Pascale Criton 1711: 1705: 1699: 1693: 1687: 1681: 1675: 1669: 1663: 1660:Lasse Thoresen 1657: 1651: 1645: 1639: 1633: 1627: 1624:Tristan Murail 1621: 1616: 1610: 1604: 1597: 1595: 1592: 1590: 1589: 1583: 1577: 1563: 1557: 1551: 1545: 1539: 1536:La Monte Young 1533: 1527: 1521: 1515: 1509: 1503: 1497: 1491: 1485: 1479: 1473: 1467: 1461: 1433: 1411: 1405: 1399: 1393: 1381: 1378:Iannis Xenakis 1375: 1358: 1352: 1346: 1340: 1334: 1328: 1322: 1316: 1306: 1300: 1294: 1291:Mildred Couper 1288: 1278: 1272: 1266: 1263:Percy Grainger 1260: 1248: 1228: 1222: 1208: 1202: 1196: 1186: 1179: 1177: 1174: 1171: 1170: 1129: 1127: 1120: 1114: 1111: 1094:American band 1038:American band 1001:Robert Johnson 987: 984: 963: 960: 859: 856: 778:L'isle joyeuse 755:Claude Debussy 722:Mildred Couper 574: 570: 569: 568: 567: 565: 562: 534:Claude Debussy 523:microtonalismo 490:микрохроматика 439:used the term 365: 362: 358:medieval music 346:Mikrotonalität 284:ancient Greece 272:Paul Griffiths 196:micro interval 192:Kleinintervall 188:Mikrointervall 177:micro-tonalité 173:microtonalismo 115: 111: 110: 109: 108: 106: 103: 101: 98: 50: 46: 45: 44: 43: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 7160: 7149: 7146: 7144: 7141: 7139: 7138:Microtonality 7136: 7135: 7133: 7118: 7114: 7110: 7108: 7100: 7099: 7097: 7096: 7088: 7082: 7079: 7077: 7074: 7073: 7071: 7067: 7061: 7058: 7056: 7053: 7051: 7048: 7046: 7043: 7041: 7038: 7036: 7033: 7031: 7028: 7026: 7023: 7021: 7018: 7016: 7013: 7011: 7008: 7006: 7003: 7001: 6998: 6996: 6993: 6991: 6988: 6986: 6983: 6981: 6978: 6976: 6973: 6971: 6968: 6966: 6963: 6961: 6960:Expressionism 6958: 6956: 6953: 6951: 6948: 6947: 6945: 6937: 6925: 6922: 6920: 6917: 6915: 6912: 6910: 6907: 6906: 6904: 6903: 6901: 6897: 6889: 6886: 6884: 6881: 6879: 6876: 6875: 6873: 6869: 6866: 6865: 6863: 6859: 6856: 6855: 6853: 6849: 6846: 6845: 6843: 6839: 6836: 6834: 6831: 6830: 6828: 6824: 6821: 6819: 6816: 6814: 6811: 6809: 6806: 6804: 6801: 6799: 6796: 6795: 6793: 6789: 6786: 6785: 6783: 6779: 6776: 6775: 6773: 6769: 6766: 6765: 6763: 6759: 6756: 6754: 6751: 6749: 6746: 6744: 6741: 6739: 6736: 6735: 6733: 6732: 6730: 6726: 6723: 6719: 6715: 6710: 6706: 6699: 6694: 6692: 6687: 6685: 6680: 6679: 6676: 6664: 6661: 6659: 6656: 6654: 6651: 6649: 6646: 6644: 6643: 6639: 6637: 6634: 6632: 6629: 6627: 6624: 6622: 6619: 6617: 6614: 6612: 6609: 6607: 6606: 6602: 6600: 6597: 6595: 6592: 6591: 6588: 6584: 6577: 6572: 6570: 6565: 6563: 6558: 6557: 6554: 6541: 6538: 6536: 6533: 6531: 6528: 6526: 6523: 6521: 6518: 6516: 6513: 6511: 6508: 6507: 6505: 6501: 6495: 6492: 6490: 6487: 6484: 6483:Carnatic raga 6480: 6477: 6475: 6472: 6470: 6467: 6463: 6460: 6458: 6455: 6453: 6452:Turkish makam 6450: 6448: 6445: 6444: 6442: 6440: 6437: 6435: 6432: 6430: 6427: 6426: 6424: 6418: 6409: 6405: 6401: 6397: 6393: 6389: 6385: 6381: 6375: 6372: 6370: 6367: 6365: 6362: 6360: 6357: 6354: 6350: 6349:quarter-comma 6346: 6343: 6342: 6340: 6338: 6334: 6328: 6325: 6323: 6320: 6318: 6315: 6313: 6310: 6308: 6305: 6303: 6300: 6298: 6295: 6292: 6288: 6285: 6283: 6280: 6278: 6275: 6273: 6270: 6268: 6265: 6263: 6260: 6258: 6255: 6253: 6250: 6249: 6247: 6245: 6241: 6238: 6236: 6232: 6226: 6225:Tonality flux 6223: 6221: 6218: 6216: 6213: 6211: 6208: 6206: 6203: 6201: 6198: 6196: 6193: 6189: 6186: 6184: 6181: 6180: 6179: 6176: 6174: 6171: 6169: 6166: 6164: 6161: 6159: 6156: 6155: 6153: 6151: 6147: 6141: 6138: 6136: 6133: 6131: 6128: 6126: 6123: 6121: 6118: 6116: 6113: 6111: 6108: 6106: 6103: 6101: 6098: 6096: 6093: 6091: 6088: 6086: 6083: 6082: 6080: 6076: 6072: 6065: 6060: 6058: 6053: 6051: 6046: 6045: 6042: 6030: 6027: 6025: 6022: 6020: 6017: 6016: 6014: 6010: 6004: 6003: 5999: 5997: 5996: 5992: 5990: 5989: 5985: 5983: 5982: 5978: 5976: 5973: 5971: 5968: 5966: 5965: 5961: 5960: 5958: 5954: 5948: 5945: 5943: 5942: 5938: 5936: 5933: 5932: 5930: 5924: 5918: 5915: 5913: 5910: 5908: 5905: 5903: 5900: 5898: 5895: 5893: 5890: 5889: 5887: 5881: 5871: 5868: 5866: 5863: 5862: 5860: 5858: 5854: 5848: 5845: 5843: 5840: 5838: 5835: 5833: 5830: 5828: 5825: 5823: 5820: 5818: 5815: 5813: 5810: 5808: 5805: 5803: 5800: 5798: 5795: 5793: 5790: 5788: 5785: 5784: 5782: 5780: 5776: 5769: 5766: 5764: 5761: 5759: 5756: 5754: 5751: 5749: 5746: 5745: 5743: 5741: 5735: 5732: 5726: 5720: 5717: 5715: 5712: 5710: 5707: 5705: 5702: 5700: 5697: 5695: 5692: 5690: 5687: 5685: 5682: 5680: 5677: 5676: 5674: 5670: 5665: 5660: 5650: 5647: 5645: 5642: 5640: 5639:Elaine Walker 5637: 5635: 5634:Claude Vivier 5632: 5630: 5627: 5625: 5622: 5620: 5617: 5615: 5612: 5610: 5609:Roger Redgate 5607: 5605: 5602: 5600: 5597: 5595: 5592: 5590: 5589:Stu Mackenzie 5587: 5585: 5584:György Ligeti 5582: 5580: 5577: 5575: 5572: 5570: 5567: 5565: 5562: 5560: 5557: 5555: 5552: 5550: 5547: 5545: 5542: 5540: 5537: 5535: 5532: 5530: 5527: 5525: 5522: 5520: 5517: 5515: 5512: 5510: 5507: 5506: 5504: 5500: 5496: 5489: 5484: 5482: 5477: 5475: 5470: 5469: 5466: 5459: 5455: 5452: 5449: 5446: 5443: 5440: 5437: 5434: 5431: 5428: 5424: 5421: 5418: 5414: 5411: 5407: 5405: 5401: 5398: 5394: 5392: 5388: 5386: 5382: 5379: 5378: 5374: 5367: 5362: 5358: 5354: 5350: 5346: 5341: 5337: 5332: 5328: 5323: 5319: 5315: 5311: 5307: 5303: 5299: 5294: 5290: 5286: 5282: 5278: 5274: 5269: 5265: 5260: 5256: 5251: 5247: 5242: 5238: 5234: 5229: 5225: 5224: 5219: 5218:Landman, Yuri 5215: 5211: 5206: 5202: 5194: 5190: 5185: 5181: 5177: 5173: 5169: 5165: 5161: 5160:0-300-06521-3 5157: 5153: 5148: 5144: 5140: 5136: 5132: 5128: 5124: 5120: 5115: 5111: 5110:0-9533633-0-9 5107: 5103: 5099: 5095: 5091: 5090: 5084: 5080: 5076: 5071: 5067: 5062: 5058: 5057:0-12-213564-4 5054: 5050: 5045: 5041: 5036: 5032: 5031:0-691-09129-3 5028: 5024: 5019: 5015: 5011: 5007: 5003: 4998: 4994: 4989: 4985: 4980: 4976: 4975:3-03910-088-2 4972: 4968: 4963: 4959: 4954: 4950: 4946: 4939: 4935: 4931: 4927: 4923: 4917: 4912: 4911: 4906: 4899: 4893: 4890: 4887: 4881: 4878: 4875: 4869: 4866: 4863: 4859: 4853: 4850: 4847: 4841: 4838: 4826: 4825:New Music Box 4822: 4815: 4812: 4800: 4796: 4789: 4786: 4773: 4769: 4765: 4758: 4755: 4752: 4749: 4743: 4740: 4728: 4724: 4717: 4714: 4701: 4697: 4693: 4689: 4685: 4678: 4676: 4672: 4667: 4660: 4657: 4652: 4650:0-7866-4285-8 4646: 4642: 4638: 4637:Ferguson, Jim 4632: 4629: 4625: 4623: 4609: 4605: 4601: 4595: 4592: 4580: 4574: 4571: 4559: 4555: 4549: 4546: 4541: 4534: 4531: 4519: 4515: 4512:(1989–1996). 4511: 4510:Carlos, Wendy 4505: 4502: 4498: 4494: 4493: 4485: 4482: 4478: 4474: 4467: 4464: 4459: 4455: 4451: 4447: 4443: 4439: 4435: 4434: 4426: 4423: 4418: 4414: 4407: 4404: 4398: 4395: 4390: 4386: 4382: 4378: 4377: 4369: 4366: 4361: 4354: 4351: 4346: 4342: 4336: 4333: 4328: 4326:0-306-80106-X 4322: 4318: 4317: 4312: 4311:Partch, Harry 4306: 4303: 4298: 4294: 4290: 4286: 4285: 4277: 4274: 4269: 4264: 4258: 4255: 4250: 4243: 4240: 4235: 4231: 4225: 4222: 4217: 4215:0-486-43406-0 4211: 4207: 4200: 4197: 4192: 4188: 4187:Tyrrell, John 4184: 4177: 4174: 4170: 4169:0-19-814975-1 4166: 4161: 4159:0-19-814897-6 4155: 4151: 4144: 4141: 4136: 4129: 4126: 4121: 4115: 4111: 4104: 4101: 4096: 4090: 4086: 4079: 4076: 4063: 4059: 4055: 4049: 4046: 4042:(2): 211–229. 4041: 4037: 4036: 4028: 4025: 4021:(7–8): 39–53. 4020: 4016: 4012: 4005: 4002: 3997: 3993: 3986: 3983: 3978: 3974: 3967: 3964: 3959: 3953: 3949: 3945: 3941: 3935: 3932: 3927: 3921: 3917: 3913: 3909: 3902: 3899: 3887: 3883: 3877: 3874: 3862: 3858: 3852: 3849: 3837: 3833: 3827: 3824: 3819: 3815: 3808: 3805: 3800: 3796: 3792: 3785: 3782: 3777: 3775:966-00-0604-7 3771: 3767: 3763: 3756: 3753: 3748: 3744: 3740: 3734: 3731: 3726: 3722: 3718: 3712: 3709: 3704: 3699: 3693: 3690: 3685: 3681: 3677: 3670: 3667: 3662: 3658: 3654: 3647: 3644: 3639: 3635: 3628: 3625: 3620: 3616: 3612: 3605: 3602: 3597: 3593: 3589: 3582: 3579: 3575: 3573:5-8114-0516-2 3569: 3561: 3557: 3556: 3548: 3545: 3536: 3532: 3531: 3523: 3520: 3515: 3511: 3504: 3501: 3496: 3492: 3485: 3482: 3477: 3473: 3466: 3463: 3458: 3454: 3447: 3444: 3439: 3435: 3431: 3427: 3423: 3419: 3418: 3410: 3407: 3402: 3398: 3394: 3390: 3389: 3381: 3378: 3373: 3369: 3365: 3361: 3360: 3352: 3349: 3344: 3340: 3333: 3330: 3325: 3321: 3314: 3311: 3306: 3305: 3297: 3294: 3289: 3285: 3281: 3274: 3271: 3266: 3264: 3259: 3255: 3248: 3245: 3240: 3233: 3230: 3225: 3221: 3214: 3211: 3206: 3202: 3195: 3192: 3187: 3180: 3177: 3173: 3171:81-903818-0-6 3167: 3163: 3156: 3153: 3148: 3147: 3139: 3136: 3131: 3129:0-521-66256-7 3125: 3121: 3114: 3111: 3106: 3104:1-56159-174-2 3100: 3096: 3095: 3090: 3086: 3085:Lindley, Mark 3082: 3076: 3074: 3070: 3057: 3050: 3047: 3034: 3027: 3024: 3019: 3017:3-534-01202-X 3013: 3009: 3005: 3001: 2994: 2991: 2986: 2985: 2980: 2973: 2970: 2965: 2958: 2955: 2950: 2946: 2942: 2938: 2934: 2930: 2929: 2921: 2918: 2913: 2909: 2904: 2899: 2895: 2891: 2890: 2885: 2878: 2875: 2870: 2866: 2860: 2857: 2852: 2846: 2842: 2835: 2832: 2827: 2825:0-8108-1907-4 2821: 2817: 2810: 2807: 2802: 2801: 2796: 2795:Tyrrell, John 2789: 2787: 2785: 2783: 2781: 2777: 2772: 2766: 2762: 2755: 2752: 2746: 2743: 2738: 2737: 2732: 2728: 2721: 2718: 2713: 2706: 2703: 2698: 2692: 2688: 2681: 2678: 2673: 2667: 2663: 2659: 2655: 2651: 2645: 2642: 2636: 2633: 2628: 2622: 2618: 2611: 2608: 2603: 2597: 2593: 2586: 2583: 2578: 2577: 2569: 2566: 2560: 2555: 2551: 2547: 2543: 2539: 2535: 2528: 2525: 2520: 2518:2-7010-1181-7 2514: 2510: 2503: 2500: 2495: 2493:2-7010-1011-X 2489: 2485: 2478: 2475: 2470: 2464: 2460: 2456: 2455: 2447: 2444: 2439: 2435: 2431: 2425: 2422: 2417: 2411: 2407: 2400: 2398: 2394: 2389: 2385: 2381: 2377: 2373: 2369: 2368: 2360: 2357: 2352: 2348: 2347: 2342: 2336: 2333: 2328: 2321: 2318: 2313: 2307: 2303: 2296: 2293: 2286: 2280: 2277: 2271: 2268: 2265: 2262: 2259: 2256: 2253: 2250: 2247: 2244: 2238: 2237:Musical scale 2235: 2233: 2230: 2224: 2221: 2218: 2215: 2209: 2208:Limit (music) 2206: 2203: 2200: 2198: 2195: 2192: 2189: 2186: 2185:Genus (music) 2183: 2181: 2178: 2175: 2172: 2166: 2163: 2161: 2153: 2150: 2147: 2144: 2143: 2138: 2132: 2129: 2126: 2123: 2120: 2117: 2114: 2111: 2108: 2105: 2102: 2101:Jacques Dudon 2099: 2096: 2093: 2090: 2087: 2084: 2081: 2078: 2075: 2072: 2069: 2066: 2063: 2060: 2059:Carlton Gamer 2057: 2054: 2051: 2048: 2045: 2042: 2039: 2036: 2033: 2030: 2027: 2024: 2023:Joseph Yasser 2021: 2018: 2015: 2012: 2009: 2006: 2003: 2000: 1997: 1994: 1991: 1990: 1985: 1979: 1978:Jacob Collier 1976: 1973: 1970: 1967: 1964: 1961: 1958: 1955: 1952: 1949: 1946: 1943: 1940: 1937: 1934: 1931: 1928: 1925: 1922: 1919: 1916: 1913: 1910: 1907: 1904: 1901: 1898: 1895: 1894:Yitzhak Yedid 1892: 1889: 1886: 1883: 1880: 1877: 1876:Elaine Walker 1874: 1871: 1870:Trey Spruance 1868: 1865: 1862: 1859: 1856: 1853: 1852:Jeffrey Ching 1850: 1847: 1846:Georges Lentz 1844: 1841: 1838: 1835: 1832: 1829: 1826: 1823: 1820: 1817: 1814: 1811: 1808: 1805: 1802: 1799: 1796: 1793: 1790: 1787: 1786:Martin Smolka 1784: 1781: 1778: 1775: 1772: 1769: 1766: 1763: 1760: 1757: 1754: 1751: 1748: 1745: 1742: 1739: 1736: 1733: 1730: 1727: 1724: 1721: 1718: 1715: 1712: 1709: 1706: 1703: 1700: 1697: 1694: 1691: 1688: 1685: 1682: 1679: 1676: 1673: 1670: 1667: 1664: 1661: 1658: 1655: 1654:Greg Schiemer 1652: 1649: 1648:Dean Drummond 1646: 1643: 1642:Claude Vivier 1640: 1637: 1634: 1631: 1628: 1625: 1622: 1620: 1617: 1614: 1611: 1608: 1607:Gérard Grisey 1605: 1602: 1599: 1598: 1593: 1587: 1584: 1581: 1580:Jukka Tiensuu 1578: 1575: 1571: 1570:Unity Capsule 1567: 1564: 1561: 1558: 1555: 1552: 1549: 1548:Douglas Leedy 1546: 1543: 1540: 1537: 1534: 1531: 1528: 1525: 1522: 1519: 1516: 1513: 1510: 1507: 1504: 1501: 1498: 1495: 1492: 1489: 1488:Carlton Gamer 1486: 1483: 1480: 1477: 1474: 1471: 1468: 1465: 1462: 1459: 1458: 1453: 1452: 1447: 1446: 1441: 1437: 1434: 1431: 1430: 1425: 1424: 1419: 1415: 1414:Pierre Boulez 1412: 1409: 1406: 1403: 1402:Claude Ballif 1400: 1397: 1394: 1391: 1390: 1389:Ramifications 1385: 1384:György Ligeti 1382: 1379: 1376: 1371: 1367: 1362: 1359: 1356: 1353: 1350: 1347: 1344: 1341: 1338: 1335: 1332: 1331:Maurice Ohana 1329: 1326: 1323: 1320: 1319:Eivind Groven 1317: 1314: 1310: 1307: 1304: 1301: 1298: 1295: 1292: 1289: 1286: 1282: 1281:Luigi Russolo 1279: 1276: 1273: 1270: 1269:Edgard Varèse 1267: 1264: 1261: 1259:Op. 30, 1915) 1258: 1257: 1252: 1249: 1246: 1242: 1238: 1237: 1232: 1231:George Enescu 1229: 1226: 1223: 1220: 1216: 1212: 1209: 1206: 1203: 1200: 1197: 1194: 1190: 1187: 1184: 1181: 1180: 1175: 1167: 1164: 1156: 1146: 1142: 1136: 1135: 1130:This section 1128: 1124: 1119: 1118: 1112: 1110: 1108: 1103: 1101: 1097: 1092: 1091: 1090: 1085: 1084: 1079: 1078: 1073: 1072: 1067: 1066:24-TET tuning 1063: 1058: 1055: 1051: 1050:Trey Spruance 1047: 1046: 1041: 1036: 1034: 1033: 1028: 1023: 1021: 1017: 1013: 1009: 1004: 1002: 997: 993: 985: 983: 979: 977: 974:, such as in 973: 972:pitch bending 969: 961: 959: 957: 956:Aleksi Perälä 952: 950: 946: 942: 938: 937:Daniel Wilson 934: 929: 927: 923: 922: 917: 913: 908: 906: 902: 898: 896: 890: 888: 884: 880: 879: 874: 873: 868: 864: 857: 855: 853: 848: 846: 845:Eivind Groven 842: 837: 835: 831: 827: 822: 820: 819:Emil Berliner 816: 815: 810: 809: 804: 803: 798: 797: 792: 791: 786: 785: 780: 779: 773: 772: 771:Pour le piano 767: 766: 760: 756: 752: 747: 745: 741: 740:Royal Society 737: 733: 729: 725: 723: 719: 715: 711: 707: 702: 700: 696: 692: 690: 686: 682: 678: 672: 667: 662: 661:in all keys. 660: 656: 652: 648: 644: 639: 637: 633: 625: 621: 619: 614: 610: 605: 601: 597: 596:Delphic Hymns 588: 563: 561: 559: 555: 551: 547: 543: 539: 538:Aaron Copland 535: 530: 526: 524: 520: 516: 512: 508: 504: 500: 496: 495:Yuri Kholopov 492: 491: 486: 482: 476: 471: 467: 463: 459: 455: 451: 446: 442: 438: 434: 432: 428: 427: 422: 418: 413: 408: 406: 401: 399: 395: 391: 387: 383: 379: 378:gamelan music 376:; Indonesian 375: 371: 363: 361: 359: 355: 351: 347: 343: 339: 335: 331: 327: 322: 319: 317: 316:Turkish music 313: 309: 305: 301: 297: 293: 289: 285: 281: 277: 273: 269: 268: 263: 259: 255: 251: 250: 245: 241: 240: 235: 231: 229: 225: 221: 220:microtonalité 217: 213: 209: 205: 201: 197: 193: 189: 185: 180: 178: 174: 170: 166: 162: 157: 153: 149: 145: 137: 131: 125: 121: 118: 104: 99: 97: 95: 91: 87: 83: 79: 78:Microtonality 40: 33: 19: 7093: 7055:Tone cluster 7010:Polytonality 6955:Experimental 6640: 6636:Rustle noise 6603: 6540:Lambda scale 6447:Arabic maqam 6404:Werckmeister 6235:Temperaments 6012:Other topics 6000: 5993: 5986: 5979: 5962: 5956:Compositions 5939: 5928:publications 5883:Concepts and 5768:Lambda scale 5709:Harry Partch 5704:Yuri Landman 5699:Lou Harrison 5684:Wendy Carlos 5679:Glenn Branca 5579:Ben Johnston 5574:Charles Ives 5534:Franklin Cox 5524:Heinz Bohlen 5365: 5356: 5344: 5335: 5329:14: 241–263. 5326: 5309: 5275:, edited by 5272: 5254: 5245: 5221: 5209: 5197: 5188: 5171: 5151: 5133:, edited by 5130: 5118: 5101: 5087: 5074: 5048: 5039: 5022: 5013: 5001: 4992: 4983: 4966: 4957: 4948: 4944: 4941:(in Italian) 4933: 4929: 4926:Aron, Pietro 4892: 4880: 4868: 4858:Atomic Heart 4852: 4840: 4828:. Retrieved 4824: 4814: 4802:. Retrieved 4798: 4788: 4776:. Retrieved 4772:the original 4767: 4757: 4742: 4730:. Retrieved 4726: 4716: 4704:. Retrieved 4700:the original 4695: 4659: 4640: 4631: 4621: 4619: 4612:. Retrieved 4607: 4594: 4583:. Retrieved 4581:. 2021-11-01 4573: 4562:. Retrieved 4560:. 2019-01-10 4557: 4548: 4542:(26): 70–75. 4539: 4533: 4521:. Retrieved 4517: 4504: 4491: 4484: 4472: 4466: 4437: 4431: 4425: 4416: 4412: 4406: 4397: 4383:(1): 61–73. 4380: 4374: 4368: 4359: 4353: 4344: 4335: 4314: 4305: 4288: 4282: 4276: 4266: 4257: 4248: 4242: 4233: 4230: 4224: 4205: 4199: 4190: 4176: 4149: 4143: 4134: 4128: 4109: 4103: 4084: 4078: 4066:. Retrieved 4062:the original 4057: 4054:"Macrotonal" 4048: 4039: 4033: 4027: 4018: 4014: 4010: 4004: 3995: 3991: 3985: 3976: 3972: 3966: 3943: 3934: 3915: 3911: 3901: 3889:. Retrieved 3885: 3876: 3864:. Retrieved 3860: 3851: 3839:. Retrieved 3835: 3826: 3817: 3813: 3807: 3794: 3790: 3784: 3765: 3761: 3755: 3746: 3742: 3733: 3724: 3720: 3711: 3700:website, at 3697: 3692: 3679: 3675: 3669: 3656: 3652: 3646: 3637: 3633: 3627: 3614: 3610: 3604: 3591: 3587: 3581: 3559: 3554: 3547: 3534: 3529: 3522: 3513: 3509: 3503: 3494: 3490: 3484: 3475: 3471: 3465: 3456: 3452: 3446: 3421: 3415: 3409: 3392: 3386: 3380: 3363: 3357: 3351: 3342: 3338: 3332: 3323: 3319: 3313: 3302: 3296: 3287: 3283: 3273: 3261: 3247: 3238: 3232: 3223: 3219: 3213: 3204: 3200: 3194: 3185: 3179: 3161: 3155: 3145: 3138: 3119: 3113: 3092: 3060:. Retrieved 3049: 3037:. Retrieved 3026: 3007: 2993: 2982: 2978: 2972: 2963: 2957: 2932: 2926: 2920: 2893: 2887: 2877: 2868: 2859: 2840: 2834: 2815: 2809: 2798: 2760: 2754: 2745: 2734: 2731:Tyrrel, John 2720: 2711: 2705: 2686: 2680: 2657: 2653: 2644: 2635: 2616: 2610: 2591: 2585: 2574: 2568: 2541: 2537: 2533: 2527: 2508: 2502: 2483: 2477: 2458: 2453: 2446: 2433: 2430:Amy, Gilbert 2424: 2405: 2371: 2365: 2359: 2353:(1279): 665. 2350: 2344: 2335: 2326: 2320: 2301: 2295: 2258:Quarter tone 2071:James Tenney 2035:Harry Partch 1942:Taylor Brook 1936:Saman Samadi 1912:Yuri Landman 1816:Franklin Cox 1750:Dave Soldier 1684:Rhys Chatham 1630:Glenn Branca 1573: 1569: 1560:Bruce Mather 1554:Wendy Carlos 1524:James Tenney 1494:Alvin Lucier 1464:Ben Johnston 1455: 1449: 1443: 1439: 1429:Polyphonie X 1427: 1421: 1418:serial music 1387: 1343:Lou Harrison 1325:Henk Badings 1309:Harry Partch 1285:Intonarumori 1284: 1254: 1234: 1205:Charles Ives 1189:Eugène Ysaÿe 1159: 1150: 1139:Please help 1134:verification 1131: 1104: 1099: 1093: 1087: 1081: 1077:Gumboot Soup 1075: 1069: 1059: 1043: 1037: 1030: 1024: 1005: 989: 980: 965: 953: 943:replicating 932: 930: 925: 919: 912:Wendy Carlos 909: 893: 891: 886: 883:Ernst Krenek 876: 870: 861: 852:Yamaha TX81Z 849: 838: 834:Harry Partch 823: 812: 806: 800: 794: 788: 782: 776: 769: 763: 748: 744:Harry Partch 735: 726: 706:Charles Ives 703: 698: 693: 684: 680: 676: 663: 651:archicembalo 641:The Italian 640: 630: 593: 557: 549: 545: 531: 527: 522: 514: 506: 489: 484: 457: 450:subchromatic 449: 444: 440: 435: 430: 424: 420: 416: 409: 402: 367: 349: 345: 341: 333: 330:blues scales 323: 320: 276:Mark Lindley 265: 247: 237: 232: 227: 223: 219: 215: 211: 207: 203: 199: 195: 191: 187: 183: 181: 176: 172: 168: 164: 152:quarter tone 143: 142: 117:Quarter tone 77: 76: 7005:Polyrhythms 6980:Neotonality 6868:Szymanowski 6535:Delta scale 6530:Gamma scale 6520:Alpha scale 6422:non-Western 6420:Traditional 6115:Pitch class 6095:Millioctave 6078:Measurement 5975:just pieces 5763:Delta scale 5758:Gamma scale 5748:Alpha scale 5738:Non-octave- 5728:Tunings and 5689:Ivor Darreg 5514:Béla Bartók 5451:MidiPro.org 5423:Wilson, Erv 4442:Jerome Kohl 4291:: 368–385. 4171:(paperback) 3891:14 December 3866:14 December 3841:14 December 2896:(1–2): 84. 2865:Blesh, Rudi 2121:(1961–2015) 2119:Bob Gilmore 2113:Georg Hajdu 2091:(1945–2023) 2073:(1934–2006) 2055:(1928–2016) 2049:(1917–1989) 2043:(1907–1994) 2037:(1901–1974) 2031:(1893–1973) 2025:(1893–1981) 2019:(1893–1979) 2013:(1887–1972) 2007:(1875–1965) 2001:(1629–1695) 1995:(1897–1973) 1972:Robin Haigh 1954:Mick Gordon 1858:Geoff Smith 1798:Georg Hajdu 1774:Lucio Garau 1762:Erling Wold 1756:Eric Mandat 1696:David First 1690:Kraig Grady 1678:James Erber 1666:Warren Burt 1650:(1949–2013) 1644:(1948–1983) 1613:Max Méreaux 1603:(1945–2023) 1530:Terry Riley 1514:(1933–2023) 1484:(1928–2016) 1410:(1924–2004) 1364: [ 1349:Ivor Darreg 1225:Béla Bartók 1113:In the West 749:During the 746:immensely. 669: [ 643:Renaissance 600:tetrachords 515:микротоника 473: [ 464:music. The 462:xenharmonic 458:xenharmonic 454:Ivor Darreg 338:W. McNaught 244:Aristoxenus 216:micro-tonal 120:accidentals 100:Terminology 7132:Categories 7050:Surrealism 7045:Stochastic 7035:Sound mass 6970:Microtonal 6942:techniques 6940:Genres and 6888:Stravinsky 6848:Skalkottas 6753:Schoenberg 6525:Beta scale 6503:Non-octave 6494:Tetrachord 6396:Kirnberger 6359:Schismatic 5926:Groups and 5885:techniques 5753:Beta scale 5604:Joe Maneri 5564:Alois Hába 5544:John Eaton 4614:28 October 4585:2022-12-01 4564:2022-12-01 4068:3 February 3207:: 201–209. 3062:2 February 3039:2 February 2984:inter alia 2287:References 2217:Microtuner 2146:3rd bridge 2133:(b. 1961) 2125:Marc Sabat 2053:Erv Wilson 2029:Alois Hába 1840:Marc Sabat 1708:James Wood 1482:Erv Wilson 1470:Joe Maneri 1396:Luigi Nono 1297:Alois Hába 1054:Mr. Bungle 1052:, also of 1045:Ishraqiyun 1008:Jon Catler 996:rock music 826:Alois Hába 714:Alois Hába 503:Alois Haba 390:spirituals 364:Microtonal 326:Rudi Blesh 280:enharmonic 262:diaschisma 212:microtonal 32:microsound 7030:Serialism 6950:Atonality 6878:Prokofiev 6721:Composers 6515:A12 scale 6469:Octoechos 6434:Shí-èr-lǜ 6383:Irregular 6200:Otonality 6140:Microtone 5907:Sonido 13 5672:Inventors 5624:Ezra Sims 5502:Composers 5395:Anon. . " 4920:Iskusstv. 4696:Front Row 4523:March 28, 3946:. Paris: 3886:disserCat 3861:disserCat 3836:disserCat 3698:disserCat 2912:1559-5749 2576:Die Reihe 2538:Resonance 2279:Sonido 13 2127:(b. 1965) 2115:(b. 1960) 2109:(b. 1955) 2103:(b. 1951) 2097:(b. 1948) 2085:(b. 1936) 2079:(b. 1990) 2067:(b. 1932) 2061:(b. 1929) 1980:(b. 1994) 1974:(b. 1993) 1968:(b. 1990) 1956:(b. 1985) 1950:(b. 1985) 1944:(b. 1985) 1938:(b. 1984) 1932:(b. 1981) 1926:(b. 1977) 1920:(b. 1973) 1914:(b. 1973) 1908:(b. 1972) 1902:(b. 1971) 1896:(b. 1971) 1890:(b. 1971) 1878:(b. 1969) 1872:(b. 1969) 1860:(b. 1966) 1848:(b. 1965) 1836:(b. 1964) 1824:(b. 1961) 1812:(b. 1961) 1806:(b. 1960) 1800:(b. 1960) 1794:(b. 1959) 1788:(b. 1959) 1776:(b. 1959) 1770:(b. 1958) 1764:(b. 1958) 1758:(b. 1957) 1752:(b. 1956) 1740:(b. 1955) 1738:Kyle Gann 1728:(b. 1954) 1722:(b. 1954) 1710:(b. 1953) 1704:(b. 1953) 1698:(b. 1953) 1686:(b. 1952) 1674:(b. 1951) 1668:(b. 1949) 1662:(b. 1949) 1656:(b. 1949) 1638:(b. 1953) 1632:(b. 1948) 1615:(b. 1946) 1476:Ezra Sims 1440:Studie II 1153:July 2016 1027:Radiohead 1020:jazz rock 992:blue note 910:In 1986, 872:Studie II 468:composer 234:Ezra Sims 208:micro-ton 200:microtone 169:micro-ton 165:microtono 159:composer 105:Microtone 82:intervals 39:Microtome 7107:Category 7040:Spectral 6965:Futurism 6899:Americas 6883:Scriabin 6854:Hungary 6829:Germany 6813:Messiaen 6808:Koechlin 6784:Finland 6774:Czechia 6768:Pousseur 6764:Belgium 6734:Austria 6663:Waveform 6658:Tonality 6626:Overtone 6611:Loudness 6400:Vallotti 6353:septimal 6345:Meantone 6105:Interval 5902:Semitone 5454:Archived 4928:. 1523. 4778:29 March 4727:AllMusic 4639:(1999). 4608:LilyPond 4313:(1979). 4265:(1885). 4251:: 19–23. 4189:(eds.). 3820:: 21–24. 3260:(eds.). 2867:(1946). 2797:(eds.). 2733:(eds.). 2652:(2014). 2534:A Propos 2139:See also 1451:Stimmung 1096:Dollshot 976:LilyPond 655:meantone 613:semitone 558:De Staat 511:tonality 466:Austrian 124:semitone 86:semitone 7092: ← 7020:Process 6909:Antheil 6874:Russia 6864:Poland 6844:Greece 6838:Strauss 6818:Milhaud 6803:Jolivet 6794:France 6788:Bergman 6489:Slendro 6439:Dastgah 6364:Miracle 6327:96-tone 6322:72-tone 6317:58-tone 6312:53-tone 6307:41-tone 6302:34-tone 6297:31-tone 6287:24-tone 6282:23-tone 6277:22-tone 6272:19-tone 6267:17-tone 6262:15-tone 6257:12-tone 6188:7-limit 6183:5-limit 4830:May 15, 4804:4 April 4732:3 April 4706:21 July 4293:Bibcode 3091:(ed.). 2388:1412315 2191:Harmony 1576:, 1988) 1445:Gruppen 1100:Lalande 1022:music. 802:Pagodes 759:gamelan 564:History 485:ekmelic 258:schisma 218:), and 7117:Portal 6919:Cowell 6914:Carter 6858:Bartók 6823:Varèse 6758:Webern 6748:Mahler 6743:Krenek 6728:Europe 6642:Sawari 6605:Jivari 6583:Timbre 6457:Mugham 6443:Maqam 6337:Linear 6291:pieces 6252:6-tone 6173:Hexany 6100:Savart 5981:Mother 5730:scales 5619:Sevish 5385:Curlie 5316: 5287: 5178: 5158: 5141: 5108: 5100:2000. 5055: 5029: 4973: 4647: 4458:833578 4456: 4323: 4212: 4167: 4156: 4116: 4091: 3954: 3922: 3772: 3570: 3562:] 3537:] 3438:833077 3436: 3168: 3126: 3101: 3014: 2949:923814 2947: 2910: 2847: 2822: 2767: 2693: 2668: 2662:passim 2623: 2598: 2515: 2490: 2465: 2412: 2386: 2308: 2083:Tom Zé 811:, and 796:La mer 720:, and 604:genera 529:form. 460:; see 396:, and 288:octave 260:, and 249:diesis 194:) and 156:srutis 6995:Noise 6833:Reger 6798:Henry 6631:Pitch 6621:Noise 6474:Pelog 6462:Muqam 6408:Young 6369:Magic 6244:Equal 6178:Limit 6085:Pitch 5892:Limit 5235:" on 5199:' 4454:JSTOR 4415:[ 4013:[ 3994:[ 3975:[ 3914:[ 3793:[ 3764:[ 3745:[ 3723:[ 3678:[ 3655:[ 3636:[ 3613:[ 3590:[ 3564:(PDF) 3558:[ 3539:(PDF) 3533:[ 3512:[ 3493:[ 3474:[ 3455:[ 3434:JSTOR 3341:[ 3322:[ 3286:[ 3201:Melos 2945:JSTOR 2656:[ 2384:JSTOR 2329:: 44. 2270:Scala 2160:maqam 1457:Licht 1372:] 1256:Myths 1236:Œdipe 1032:Kid A 905:19-ET 901:15-ET 673:] 609:cents 519:tonic 477:] 394:blues 374:śruti 300:sruti 254:comma 136:sharp 6924:Ives 6778:Hába 6738:Berg 6479:Raga 6090:Cent 5314:ISBN 5285:ISBN 5176:ISBN 5156:ISBN 5139:ISBN 5106:ISBN 5053:ISBN 5027:ISBN 4971:ISBN 4832:2018 4806:2021 4780:2017 4734:2013 4708:2014 4645:ISBN 4616:2020 4525:2009 4321:ISBN 4210:ISBN 4165:ISBN 4154:ISBN 4114:ISBN 4089:ISBN 4070:2016 3952:ISBN 3920:ISBN 3893:2020 3868:2020 3843:2020 3770:ISBN 3568:ISBN 3166:ISBN 3124:ISBN 3099:ISBN 3064:2016 3041:2016 3012:ISBN 2908:ISSN 2845:ISBN 2820:ISBN 2765:ISBN 2691:ISBN 2666:ISBN 2621:ISBN 2596:ISBN 2540:)". 2513:ISBN 2488:ISBN 2463:ISBN 2410:ISBN 2306:ISBN 2264:Raga 2158:and 1448:and 1426:and 1219:here 1215:here 1089:L.W. 1074:and 968:MIDI 966:The 903:and 398:jazz 314:and 226:and 214:(or 198:(or 190:(or 171:and 130:flat 5425:. " 5383:at 5016:43. 4960:20. 4622:not 4446:doi 4385:doi 3426:doi 3397:doi 3368:doi 2937:doi 2898:doi 2554:hdl 2546:doi 2536:of 2376:doi 1243:of 1217:or 1143:by 1083:K.G 734:'s 556:'s 7134:: 6406:, 6402:, 6398:, 6351:, 5847:96 5842:72 5837:58 5832:53 5827:41 5822:34 5817:31 5812:24 5807:23 5802:22 5797:19 5792:17 5787:15 4860:: 4823:. 4797:. 4766:. 4725:. 4694:. 4686:; 4674:^ 4618:. 4606:. 4602:. 4556:. 4516:. 4495:, 4452:. 4438:36 4436:. 4381:23 4379:. 4289:37 4287:. 4185:; 4056:. 4040:57 4038:. 3816:. 3432:. 3422:29 3420:. 3393:58 3391:. 3364:21 3362:. 3256:; 3222:. 3203:. 3083:; 3072:^ 3002:; 2943:. 2933:80 2931:. 2906:. 2894:13 2892:. 2886:. 2779:^ 2729:; 2664:. 2552:. 2457:. 2396:^ 2382:. 2372:14 2370:. 2351:25 2349:. 1370:nl 1368:; 1366:de 1102:. 1035:. 1003:. 889:. 847:. 805:, 799:, 793:, 787:, 781:, 753:, 724:. 716:, 712:, 708:, 671:de 548:, 544:' 475:de 433:. 407:. 400:. 392:, 384:, 360:. 306:, 274:, 270:, 256:, 230:. 210:, 179:. 126:: 96:. 6697:e 6690:t 6683:v 6575:e 6568:t 6561:v 6485:) 6481:( 6410:) 6394:( 6390:/ 6355:) 6347:( 6293:) 6289:( 6063:e 6056:t 6049:v 5487:e 5480:t 5473:v 5429:" 5320:. 5291:. 5182:. 5162:. 5145:. 5112:. 5059:. 5033:. 4977:. 4834:. 4808:. 4782:. 4748:h 4736:. 4710:. 4668:. 4653:. 4588:. 4567:. 4527:. 4460:. 4448:: 4391:. 4387:: 4329:. 4299:. 4295:: 4218:. 4162:. 4122:. 4097:. 4072:. 4019:4 3960:. 3928:. 3895:. 3870:. 3845:. 3818:2 3801:. 3778:. 3686:. 3663:. 3621:. 3598:. 3440:. 3428:: 3403:. 3399:: 3374:. 3370:: 3224:1 3205:3 3132:. 3107:. 3066:. 3043:. 3020:. 2987:. 2951:. 2939:: 2914:. 2900:: 2853:. 2828:. 2773:. 2699:. 2674:. 2629:. 2604:. 2562:. 2556:: 2548:: 2521:. 2496:. 2471:. 2418:. 2390:. 2378:: 2314:. 1460:) 1315:) 1195:) 1166:) 1160:( 1155:) 1151:( 1137:. 897:, 175:/ 167:/ 41:. 34:. 20:)

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.

Index