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Diatonic and chromatic

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2502:], iii, 82–3) and prescribed in manuscript sources. Except where a melodic chromatic interval is introduced in the interests of vertical perfection (e.g. Old Hall, no. 101; see ex. 2d), musica ficta is by nature diatonic. Even music liberally provided with notated sharps is not necessarily chromatic. This has been called 'accidentalism'. Increasingly explicit use of accidentals and explicit degree-inflection culminates in the madrigals of Marenzio and Gesualdo, which are remote from medieval traditions of unspecified inflection, and co-exists in the 16th century both with older hexachordal practices and with occasional true melodic chromaticism. It is the small number of chromatic intervals in Lassus's Sibylline Prophecies (Carmina chromatica), for example, that determine its chromatic status, not the large number of sharps that give it 'chromatic' colouring according to looser modern usage. 1963:. In principle, any note or group of notes subjected to coloration or blackening was reduced to two-thirds of the value that it would have enjoyed in its pristine state. In respect of any note in mensural notation that was equal in duration to two of that next smaller in value, the coloration of three in succession caused each to undergo reduction to two-thirds of its erstwhile value, so creating a triplet ... In the case of any note that was equal in duration to three of that next smaller, the coloration of three together likewise effected a proportional reduction in the value of each to two-thirds, so reducing perfect value to imperfect and commonly creating the effect called hemiola ... On occasions coloured notes could appear singly to denote imperfect value, especially to inhibit unwanted perfection and alteration." 1118: 1436: 1394: 92: 125: 793: 38: 765: 1698:, to produce a "diatonic" rhythmic "scale" embedded in an underlying metrical "matrix". Some of these selections are diatonic in a way similar to the traditional diatonic selections of pitch classes (that is, a selection of seven beats from a matrix of twelve beats – perhaps even in groupings that match the tone-and-semitone groupings of diatonic scales). But the principle may also be applied with even more generality (including even 1934:
as closely similar simply because of the use of similar terms: "... the categories of the diatonic, chromatic and enharmonic genera developed within the framework of monodic musical culture and have little in common with the corresponding categories of modern music theory." There were several Greek systems, in any case. What is presented here is merely a simplification of theory that spans several centuries, from the time of
781: 492: 1363: 477: 1378:, Op. 58., the long, flowing melody of the first five bars is almost entirely diatonic, consisting of notes within the scale of E minor, the movement's home key. The only exception is the G sharp in the left hand in the third bar. By contrast, the remaining bars are highly chromatic, using all the notes available to convey a sense of growing intensity as the music builds towards its expressive climax. 2318:(London: Routledge & K. Paul, 1979), p. 162: "The fundamental instrument of early Greek music was the tetrachord or four-stringed lyre, which was tuned in accordance with the main concordances; the tetrachord was also the foundation of Greek harmonic theory"). The number of strings on early lyres and similar instruments is a matter of much speculation (see Martin Litchfield West, 230: 379: 328: 320: 312: 300: 371: 2486:– to produce successive or closely adjacent semitones did not necessarily compromise their diatonic status. The tenor of Willaert's so-called chromatic duo is entirely diatonic in its progressions (Bent, 1984), as are Lowinsky's examples of 'secret chromatic art' (Lowinsky, 1946) and indeed almost the entire repertory. True chromatic progressions (e.g. F–F 701: 3319: 727:. Such a sequence of pitches is produced, for example, by playing all the black and white keys of a piano in order. The structure of a chromatic scale is therefore uniform throughout—unlike major and minor scales, which have tones and semitones in particular arrangements (and an augmented second, in the harmonic minor). 1933:
These meanings in Greek theory are the ultimate source of the meanings of the words today, but through a great deal of modification and confusion in Medieval times. It would therefore be a mistake to consider the Greek system and the subsequent Western systems (Medieval, Renaissance, or contemporary)
1972:
Some theorists derive such a scale from a certain series of pitches rising by six perfect fifths: F–C–G–D–A–E–B. These pitches are then rearranged by transposition to a single-octave scale: C–D–E–F–G–A–B (the standard C major scale, with the interval structure T–T–S–T–T–T). A few theorists call the
1200:
The chromatic expansion of tonality which characterizes much of nineteenth century music is illustrated in miniature by the substitution of a chromatic harmony for an expected diatonic harmony. This technique resembles the deceptive cadence, which involves the substitution of another diatonic chord
853:
Forte lists the chromatic intervals in major and natural minor as the augmented unison, diminished octave, augmented fifth, diminished fourth, augmented third, diminished sixth, diminished third, augmented sixth, minor second, major seventh, major second, minor seventh, doubly diminished fifth, and
743:, are restricted to the scale to which they are tuned. Among this latter class, some instruments, such as the piano, are always tuned to a chromatic scale, and can be played in any key, while others are restricted to a diatonic scale, and therefore to a particular key. Some instruments, such as the 686:
is most often used inclusively with respect to music that restricts itself to standard uses of traditional major and minor scales. When discussing music that uses a larger variety of scales and modes (including much jazz, rock, and some tonal 20th-century concert music), writers often adopt the
2240:
are those built on, or using, the five non-diatonic degrees of the scale." (Strictly, there is an uncertainty to be noted here, involving harmonies that would be diatonic because they are built on unaltered degrees of a diatonic scale, but chromatic because they include a non-diatonic note:
3027:
is one between harmonies with no diatonic relationship, harmonies that do not coexist in any single diatonic system of key and mode. For this purpose, the harmonic form of the minor scale is considered the tonal-harmonic basis of its diatonic system. A usual characteristic of the chromatic
449: 812:
When one note of an interval is chromatic or when both notes are chromatic, the entire interval is called chromatic. Chromatic intervals arise by raising or lowering one or both notes of a diatonic interval, so that the interval is made larger or smaller by the interval of half step
1097:
If the tritone is assumed diatonic, the classification of written intervals on this definition is not significantly different from the "drawn from the same diatonic scale" definition above as long as the harmonic minor and ascending melodic minor scale variants are not included.
421:
opens with a prologue proclaiming, "these chromatic songs, heard in modulation, are those in which the mysteries of the Sibyls are sung, intrepidly," which here takes its modern meaning referring to the frequent change of key and use of chromatic intervals in the work. (The
362:
from the 14th century, this was used to indicate a temporary change in metre from triple to duple, or vice versa. This usage became less common in the 15th century as open white noteheads became the standard notational form for minims (half-notes) and longer notes called
2662:
A "pentatonic" scale is a scale formed from two intervals of different sizes, such that groups of several adjacent instances of the smaller interval are separated by single instances of the larger interval. Therefore a generic "pentatonic" can contain more than five
358:) of certain notes. The details vary widely by period and place, but generally the addition of a colour (often red) to an empty or filled head of a note, or the "colouring in" of an otherwise empty head of a note, shortens the duration of the note. In works of the 1677:. Or a larger set of underlying pitch classes may be used instead. For example, the octave may be divided into varying numbers of equally spaced pitch classes. The usual number is twelve, giving the conventional set used in Western music. But Paul Zweifel uses a 899: 2200:). This highly restrictive interpretation is effectively equivalent to the idea that diatonic triads are those drawn from the notes of the major scale alone, as this source rather roughly puts it: "Diatonic chords are wholly contained within a major scale." 1383: 1415:
with a rich, intoxicating chord progression. In contrast, the bars that follow are entirely diatonic, using notes only within the scale of E major. The passage is intended to convey the god Wotan putting his daughter Brünnhilde into a deep sleep.
1421: 1681:
approach to analyse different sets, concluding especially that a set of twenty divisions of the octave is another viable option for retaining certain properties associated with the conventional "diatonic" selections from twelve pitch classes.
1343:. (The title ‘Humour’ should be interpreted as meaning ‘mood’, here.) The first four bars are largely diatonic. These are followed by a passage exploiting chromatic harmony, with the upper part forming an ascending, followed by a descending 2322:(Oxford and New York: Oxford University Press, 1994), especially pp. 62–64). Many later instruments had seven or perhaps more strings, and in that case the tetrachord must be thought of as based on a selection of four adjacent strings. 2209:
Often the content of "diatonic harmony" in this sense includes such harmonic resources as diminished sevenths on the leading note – possibly even in major keys – even if the text uses a classification for chords that should exclude those
116: 137: 2450:"The root of the Italian term is that of 'colour', and it is probably related through its use of diminution (the little notes that 'rush' to the next long note, as Bernhard writes) to the mensural practice of coloration" ( 1747:
are treated as mutually exclusive opposites, concerning common practice music. This article deals mainly with common practice music, and later music that shares the same core features (including the same particular use of
1384: 1422: 1094:) are smaller than or equal to diatonic semitones (E–F) in size, With consonant intervals such as the major third, the nearby interval (a diminished fourth in the case of a major third) is generally less consonant. 1186:
in C minor. Some writers use the phrase "diatonic to" as a synonym for "belonging to". Therefore a chord is not said to be "diatonic" in isolation, but can be said to be "diatonic to" a particular key if its notes
284:("four strings"). A diatonic tetrachord comprised, in descending order, two whole tones and a semitone, such as A G F E (roughly). In the chromatic tetrachord the second string of the lyre was lowered from G to G 558:
The white keys are the modern analog of the gamut. In its most strict definition, therefore, a diatonic scale is one that may be derived from the pitches represented in successive white keys of the piano (or a
2024:
A few exclude only the harmonic minor as diatonic, and accept the ascending melodic, because it comprises only tones and semitones, or because it has all of its parts analysable as tetrachords in some way or
2659:
A "diatonic" scale is a scale formed from two intervals of different sizes, such that groups of several adjacent instances of the larger interval are separated by single instances of the smaller interval.
974: 80: 2702:. See also extensive analysis in the excerpt from "The leading tone in direct chromaticism: from Renaissance to Baroque", Clough, John, 1957, in the same subsection below.) Outside of music altogether, 2067:, even though some of these occur in scales that everyone accepts as diatonic. (For example, the diminished fifth formed by B and F, which occurs in C major.) There are even some writers who define all 542:. The semitones are separated as much as they can be, between alternating groups of three tones and two tones. Here are the intervals for a string of ascending notes (starting with F) from the gamut: 1826:), of disputed etymology. Most plausibly, it refers to the intervals being "stretched out" in that tuning, in contrast to the other two tunings, whose lower two intervals were referred to as πυκνόν ( 115: 1084:) that occurs when 12-note-per-octave keyboards are tuned to meantone temperaments whose fifths are flatter than those in 12-tone equal temperament. In a generalized meantone temperament, chromatic 641:
Some writers consistently include the melodic and harmonic minor scales as diatonic also. For this group, every scale standardly used in common practice music and much similar later music is either
631:-diatonic, since they are not transpositions of the white-note pitches of the piano. Among such theorists there is no agreed general term that encompasses the major and all forms of the minor scale. 68: 136: 1124:'s 1907 list of, "diatonic triads", diatonic seventh-chords," and two examples of, "diatonic ninth-chords," the "large" and "small" ninth chords; all from the C major or the C harmonic minor scale 1065:. Instruments limited to 12 pitches per octave can only produce a chain of 11 fifths, resulting in a "break" at the ends of the chain. This causes intervals that cross the break to be written as 1994:. Equally certainly, the second "inclusive" meaning is still strongly represented in non-academic writing (as can be seen by online searches of practically oriented music texts at, for example, 1895:) also meant the instrument itself. And it could also mean the interval of a perfect fourth between the pitches of the fixed top and bottom strings; therefore the various tunings were called 375:
was referred to as "chromatic" because of its abundance of "coloured in" black notes, that is semiminims (crotchets or quarter notes) and shorter notes, as opposed to the open white notes in
962: 1353: 2335:; but in OED this is only given as a distinct word with a distinct etymology ("Not harmonic; not in harmony; dissonant,..."). The motivation and sources of the Greek term ἐναρμονικός ( 1107:
By chromatic linear chord is meant simply a chord entirely of linear origin which contains one or more chromatic notes. A great many of these chords are to be found in the literature.
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harmonies (in both major and minor), because there exists some diatonic system in which both harmonies occur. With C major, for example, both occur in the subdominant minor, F minor.
1986:
The first "exclusive" usage seems to be gaining greater currency. Certainly it is becoming close to standard in academic writing, as can be seen by querying online archives (such as
1315:
Chromatic harmony may be defined as the use of successive chords that are from two different keys and therefore contain tones represented by the same note symbols but with different
950: 2347:: "good placement of parts", "harmony", "a scale, mode, or τόνος "). So in some way the term suggests harmoniousness or good disposition of parts, but not in the modern sense of 975: 81: 2861:, Dover, New York, 1954, pp. 433–435 and 546–548. The two notes of a diatonic semitone have different letter names; those of a chromatic semitone have the same letter name. 69: 1487:. Generally – not universally – a note is understood as diatonic in a context if it belongs to the diatonic scale that is used in that context; otherwise it is chromatic. 2011:
A very clear statement of the "exclusive" stance is given in the excerpt from "The leading tone in direct chromaticism: from Renaissance to Baroque", Clough, John, 1957,
751:, and glockenspiel, are available in both diatonic and chromatic versions (although it is possible to play chromatic notes on a diatonic harmonica, they require extended 1665:
of those scales) should count as diatonic is unsettled, as shown above. But the broad selection principle itself is not disputed, at least as a theoretical convenience.
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Each tetrachord or hexachord is a diatonic entity, containing one diatonic semitone; but the tight overlapping of hexachordal segments – some as small as an isolated
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periods also began experimenting with the expressive possibilities of contrasting diatonic passages of music with chromatic ones. Here, for example is part of the
2357:(London: Faber and Faber, 1978); Liddell and Scott; etc.) For more information, especially concerning the various exact tunings of the enharmonic tetrachord, see 963: 1352: 2314:
It is unclear whether the lyre in question was itself a presumed four-stringed instrument ("τετράχορδον ὄργανον"), as some have suggested (see Peter Gorman,
1203:
In the major mode a substitute chromatic consonance often proves to be a triad which has been taken from the parallel minor mode. This process ...is called
951: 1382: 2153:, as used in: "The trill rises chromatically by step above this harmonic uncertainty, forming a chromatic fourth ..." The term as used in the phrase 1690:
It is possible to generalise this selection principle even beyond the domain of pitch. The diatonic idea has been applied in analysis of some traditional
1023:
equal temperament), there is a difference in tuning between notes that are enharmonically equivalent in 12-tone equal temperament. In systems based on a
846:, occurring in C harmonic minor) is considered diatonic if the harmonic minor scale is considered diatonic, but chromatic if the harmonic minor scale is 1578:
In musica ficta and similar contexts, a melodic fragment that does not include a chromatic semitone, even if two semitones occur contiguously, as in F
1420: 191:
refers to musical elements derived from the modes and transpositions of the "white note scale" C–D–E–F–G–A–B. In some usages it includes all forms of
100: 2075:, and since for him only the major scale is diatonic, only the intervals formed above the tonic in the major are diatonic;). Some theorists take the 1176:
is adhered to – whereby only transposed 'white note scales' are considered diatonic – even a major triad on the dominant scale degree in C minor (G–B
1575:
Movement between harmonies that both belong to at least one shared diatonic system (from F–A–C to G–B–E, for example, since both occur in C major).
1385: 792: 1423: 1998:). Overall, considerable confusion remains; on the evidence presented in the list of sources, there are very many sources in the third category: 1533:
Movement between harmonies that are not elements of any common diatonic system (that is, not of the same diatonic scale: movement from D–F–A to D
1006:
represent the same pitch, so the diatonic interval C–F (a perfect fourth) sounds the same as its enharmonic equivalent—the chromatic interval C–E
2219:
Some of these are chords "borrowed" from a key other than the prevailing key of a piece; but some are not: they are derivable only by chromatic
3226: 2830: 2276: 972: 78: 1959:
Details of the practice for certain periods: "The device that was both the simplest and the most stable and durable was that known as
1319:. Four basic techniques produce chromatic harmony under this definition: modal interchange, secondary dominants, melodic tension, and 764: 117: 1752:, harmonic and melodic idioms, and types of scales, chords, and intervals). Where other music is dealt with, this is specially noted. 138: 2906: 2556: 2303: 1921: 550:
And here are the intervals for an ascending octave (the seven intervals separating the eight notes A–B–C–D–E–F–G–A) from the gamut:
66: 1117: 2918:"Because of the variability of 6 and 7, there are sixteen possible diatonic seventh chords in minor ... __º7_____viiº__" ( 2707: 1375: 2038:
analysis of common practice music, even these writers do not typically consider non-standard uses of some familiar scales to be
1134:
are generally understood as those that are built using only notes from the same diatonic scale; all other chords are considered
960: 3010:"... most chromatic harmony can be read as diatonic harmony with chromatic inflection", a view attributed to Simon Sechter in 1836:, "dense, compressed"). For more information, especially concerning the various exact tunings of the diatonic tetrachord, see 1351: 973: 79: 1973:
original untransposed series itself a "scale". Percy Goetschius calls that series the "natural scale"; see further citation
948: 63:), which features eleven of twelve pitches while chromatically descending by half steps, the missing pitch being sung later. 67: 1393: 902: 704: 452: 3338: 2572: 1435: 383:, commonly used for the notation of sacred music. These uses for the word have no relationship to the modern meaning of 2391: 961: 91: 2655:
Throughout this paper, I use the terms "diatonic," "pentatonic" and "chromatic" in their generic senses, as follows:
1142:, this definition, too, is ambiguous. And for some theorists, chords are only ever diatonic in a relative sense: the 2127:(so that all perfect, major, minor, augmented, diminished intervals are "diatonic intervals"). It is not clear what 1354: 213:. Historically, however, it had other senses, referring in Ancient Greek music theory to a particular tuning of the 124: 3219: 949: 31: 3139: 2622: 997: 206: 3091:, Berry, Wallace, Prentice-Hall, 1966, pp. 109–110, note 5. The author even includes movement between tonic and 3353: 3343: 1661:
has been confined to the domain of pitch, and in a fairly restricted way. Exactly which scales (and even which
1162: 780: 1211:....Four consonant triads from the minor mode may replace their counterparts in the major mode. These we call 891:
example above, classification would still depend on whether the harmonic minor scale is considered diatonic.
3348: 2822: 364: 3303: 1874:). For more information, especially concerning the various exact tunings of the chromatic tetrachord, see 1250: 671:), and this can lead to confusions and misconceptions. Sometimes context makes the intended meaning clear. 600: 338:
lowered by a quarter tone). For all three tetrachords, only the middle two strings varied in their pitch.
181: 2015:. The excerpt acknowledges and analyses the difficulties with logic, naming, and taxonomy in that stance. 3363: 3251: 3212: 3174:
Rahn, J. (1996). "Turning the Analysis around: Africa-Derived Rhythms and Europe-Derived Music Theory".
1950:
360 CE). Specifically, there are more versions of each of the three tetrachords than are described here.
1943: 560: 417: 3123:, Persichetti, Vincent, Norton, 1961, pp. 50–51. Persichetti also makes an exceptional use of the term 875:
interval because it does not appear in the prevailing diatonic key; conversely, in C minor it would be
1559:
and similar contexts, a melodic fragment that includes a chromatic semitone, and therefore includes a
3032:– the change of one or more notes from one form (sharp, natural, or flat) to another" Wallace Berry, 2666:"Chromatic" refers to the interval formed between adjacent pitch-classes of any equal-tempered scale. 1032: 1020: 1016: 3058:"In the change from major to minor is supported by the chromatic progression ... in the bass" 2042:. For example, unusual modes of the melodic or harmonic minor scale, such as used in early works by 1507:
Alteration of a note that makes it (or the harmony that includes it) chromatic rather than diatonic.
996:
equivalent, there is no difference in tuning (and therefore in sound) between them. For example, in
519:; here the word is used in one of the available senses: the all-encompassing gamut as described by 1868:– or, specifically as a musical term, "a modification of the simplest music" (Liddell and Scott's 41:
Melodies can be based on a diatonic scale and maintain its tonal characteristics but contain many
3273: 3191: 3156: 3137:
Zweifel, P. F. (1996). "Generalized Diatonic and Pentatonic Scales: A Group-Theoretic Approach".
2993: 2639: 2617: 2566: 2220: 1601: 1183: 1070: 1028: 905: 707: 455: 1260:
At other times, especially in textbooks and syllabuses for musical composition or music theory,
37: 1607:
Chromatic modulation is modulation via a chromatic progression, in the first sense given above.
3278: 2902: 2826: 2791: 2552: 2433: 2299: 2272: 2236:
are those built on the seven degrees of whatever major or minor diatonic scale is being used.
1917: 1328: 1320: 1066: 843: 520: 476: 412: 234: 218: 95: 2774:(Cambridge Music Handbooks), Cambridge and New York: Cambridge University Press, 2005, p. 66. 507:, strictly) notionally derive, and it may be thought of as constructed in a certain way from 180:. They are very often used as a pair, especially when applied to contrasting features of the 3358: 3298: 3261: 3183: 3148: 3092: 2884: 2631: 2358: 2247:–A in C major, for example. But the intention is clearly that such harmonies are chromatic.) 2146: 1618: 1277: 1081: 830:
is itself ambiguous, distinguishing intervals is also ambiguous. For example, the interval B
527: 435: 427: 367:. Similarly, in the 16th century, a form of notating secular music, especially madrigals in 192: 161: 50: 378: 311: 299: 3308: 3288: 2811: 1875: 1715: 1691: 1678: 1412: 1344: 1273: 1246: 1143: 1024: 696: 679:
take the extension to harmonic and melodic minor even further, to be even more inclusive.
327: 319: 290:, so that the two lower intervals in the tetrachord were semitones, making the pitches A G 202: 108: 55: 1510:
Melodic movement between a diatonic note and a chromatically altered variant (from C to C
2888:, p.3. Wm. A Kaun Music Company. . Macro and Roman numeral analysis not in the original. 2071:
intervals as chromatic (Goetschius assesses all intervals as if the lower note were the
1644:
scales) may also be construed as reduced forms of a diatonic scale but are not labelled
538:, recurring in a certain pattern with five tones (T) and two semitones (S) in any given 491: 350:(Italian) was occasionally used in the Medieval and Renaissance periods to refer to the 296:
F E. In the enharmonic tetrachord the second string of the lyre was lowered further to G
3293: 3256: 2079:
to be simply a measure of the number of "scale degrees" spanned by two notes (so that F
1837: 1694:, for example. Some selection or other is made from an underlying superset of metrical 1407: 1402: 1281: 1121: 723:
scale consists of an ascending or descending sequence of pitches, always proceeding by
624: 516: 471: 370: 229: 1272:
is then harmony that extends the available resources to include chromatic chords: the
3332: 3246: 2387: 2175: 2072: 1720: 1674: 1340: 1332: 1130: 1077: 620: 607: 572: 260: 253: 173: 165: 157: 46: 1782:
For inclusion of the harmonic minor and the ascending melodic minor see the section
1362: 1059:
are not enharmonically equivalent but are instead different by an amount known as a
3235: 3127:
in this context: "Diatonic scales of five tones are harmonically limited ...".
2429: 2291: 2179: 1770: 1695: 1634: 1556: 1166: 740: 576: 504: 431: 402: 305: 169: 153: 60: 879:. This usage is still subject to the categorization of scales above, e.g. in the B 865:
for an interval may depend on context. For instance, in C major, the interval C–E
239:, Charles Rollin (1768). The text gives a typically fanciful account of the term 195:
that are in common use in Western music (the major, and all forms of the minor).
135: 114: 3266: 2538: 1939: 1766: 1762: 1467: 1316: 818: 568: 564: 42: 2984:
Tischler, H. (1958). "Re: Chromatic Mediants: A Facet of Musical Romanticism".
2922:, Kostka, Stefan and Payne, Dorothy, McGraw-Hill, 3rd edition 1995, pp. 64–65). 619:
Some writers consistently classify the other variants of the minor scale – the
2795: 2678:, in this article. See also an exceptional usage by Persichetti, in a note to 2119:
are "at a chromatic interval of nine semitones"). Some theorists use the term
2043: 1995: 1935: 993: 752: 531: 389: 214: 2149:. Something close to this usage may be found in print. For example, the term 258:
In ancient Greece there were three standard tunings (known by the Latin word
2699: 2600: 2547: 2012: 1974: 1814: 1673:
The selection of pitch classes can be generalised to encompass formation of
1371: 1336: 771: 744: 2785: 2125:
an interval named on the assumption of the diatonic system of Western music
2063:. There are theorists who define all augmented and diminished intervals as 1870: 755:
techniques, and some chromatic notes are only usable by advanced players).
434:, especially its chromatic tetrachord, notably by the influential theorist 2103:
represent the same "diatonic interval": a seventh); and they use the term
495:
The diatonic scale notes (above) and the non-scale chromatic notes (below)
2141: 1749: 1257:
means little, because chromatic chords are also used in that same system.
1085: 1044: 724: 535: 499:
Medieval theorists defined scales in terms of the Greek tetrachords. The
359: 210: 187:
These terms may mean different things in different contexts. Very often,
2577:. "It is not an independent scale, but derives from the diatonic scale." 45:, up to all twelve tones of the chromatic scale, such as the opening of 17: 2349: 1947: 1253:. When diatonic harmony is understood in this sense, the supposed term 1234: 177: 3195: 3160: 2997: 2643: 1828: 1061: 736: 539: 411:
began to approach its modern usage in the 16th century. For instance
2479:. The entire passage is relevant to present points in this article: 2353:, which has to do with simultaneous sounds. (See Solon Michaelides, 2331:
Occasionally, as in the Rollin excerpt shown in this section, spelt
3187: 3152: 2635: 503:
was the series of pitches from which all the Medieval "scales" (or
2618:"Balzano and Zweifel: Another Look at Generalized Diatonic Scales" 1987: 1783: 1641: 1434: 1418: 1392: 1380: 1361: 1349: 1116: 970: 958: 946: 475: 228: 123: 105: 90: 76: 64: 36: 426:
belonged to an experimental musical movement of the time, called
280:, and the sequences of four notes that they produced were called 3318: 748: 3208: 3204: 579:, most of which included both versions of the "variable" note B 2498: 2174:
This is because the third of the triad does not belong to the
1900: 2107:
to mean the number of semitones spanned by any two pitches (F
1401:
A further example may be found in this extract from act 3 of
2698:, Crotch, William, 1830. (See the quotation from this text, 716:
Chromatic scale on C: full octave ascending and descending
1912:
For general and introductory coverage of Greek theory see
2440:(6th ed.). New York: W. W. Norton. pp. 188–190. 2131:
would mean, if anything, in parallel with this usage for
1657:
Traditionally, and in all uses discussed above, the term
904:
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706:
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from one note to the next in this Medieval gamut are all
454:
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2467:, though this is incorrect Latin; the title is given as 1942:(c. 362 BCE – after 320 BCE), to such late theorists as 304:, so that the two lower interval in the tetrachord were 2648:
An explicit example of such an extended general use of
2885:
Manual of Harmony: Theoretical and Practical, Volume 1
2382:
Roger Bowers, "Proportional notation", 2. Coloration,
1916:, Barbour, J. Murray, 2004 (reprint of 1972 edition), 438:
in his treatise on ancient and modern practice, 1555.
3062:, Schoenberg, Arnold, Faber & Faber, 1983, p. 54. 2000:
Diatonic used vaguely, inconsistently, or anomalously
1795:
Translating the term used by Greek theorists: γένος,
1765:(and equivalently the descending melodic minor), the 1621:
that draws its notes from the diatonic scale (in the
160:. The terms are also applied to musical instruments, 2055:
There are several other understandings of the terms
1397:
Beethoven Piano Concerto 4 slow movement, bars 47–55
1389:
Beethoven Piano Concerto 4 slow movement, bars 47–55
1076:
intervals, with the most notable example being the "
599:
There are specific applications in the music of the
236:
The History of the Arts and Sciences of the Antients
2759:
The Chromatic Fourth during Four Centuries of Music
2492:–G) are occasionally allowed in theory (Marchetto, 2339:) are little understood. But the two roots are ἐν ( 1370:In the following passage from the slow movement of 1015:However, in the majority of other tunings (such as 430:). This usage comes from a renewed interest in the 2810: 2694:in any other sense. A rare exception is found in 1458:Notes which do not belong to the key are called 603:, and later music that shares its core features. 201:most often refers to structures derived from the 3103: 3101: 1201:for the expected diatonic goal harmony. ... 233:Tetrachord genera of the four-string lyre, from 30:"Chromatic" redirects here. For other uses, see 2653: 2480: 1456: 1198: 1105: 810: 2679: 2675: 914:Pythagorean diatonic and chromatic interval: E 663:Still other writers mix these two meanings of 610:as diatonic. As for other forms of the minor: 3220: 3070: 3068: 2901:, McGraw-Hill, 5th edition, 2003, pp. 60–61. 2355:The Music of Ancient Greece: An Encyclopaedia 1411:. The first four bars harmonize a descending 1191:to the underlying diatonic scale of the key. 387:, but the sense survives in the current term 268:) of a lyre. These three tunings were called 217:, and to a rhythmic notational convention in 132:, movement I, fugue subject: diatonic variant 8: 2857:Helmholtz, Hermann, trans. Alexander Ellis, 2611: 2609: 2551:: Holt, Rinehart, and Wilson. pp. 4–5. 2522: 554:T–S–T–T–S–T–T (five tones and two semitones) 465:Diatonic scale on C equal tempered and just. 27:Terms in music theory to characterize scales 3049:(Prentice-Hall, 1966), pp. 109–110, note 5. 3036:(Prentice-Hall, 1966), pp. 109–110, note 5. 2979: 2977: 2384:New Grove Dictionary of Music and Musicians 2157:itself perhaps means just what it means in 2046:, are almost never described as "diatonic". 1914:Tuning and Temperament, A Historical Survey 1475:In modern usage, the meanings of the terms 1172:If the strictest understanding of the term 3227: 3213: 3205: 2373:, Barsky, Vladimir, Routledge, 1996, p. 2. 1483:vary according to the meaning of the term 739:, can play any scale; others, such as the 2971:, Winter, Robert, Wadsworth, 1992, p. 35. 2733:The Theory and Practice of Tone-Relations 2588:The Theory and Practice of Tone-Relations 1818:is ultimately from the Greek διατονικός ( 1291:can be used of single classes of chords ( 101:Music for Strings, Percussion and Celesta 2533: 2531: 1761:This definition encompasses the natural 1516:in G major, or vice versa, for example). 1266:harmony that uses only "diatonic chords" 798:Chromatic (rear) and diatonic harmonicas 490: 3078:, "Musica Ficta", I, ii, cited earlier. 2744:See also, for example, Harrison, Mark, 2407:, Pendragon, New York, 1978, pp. 147ff. 2287: 2285: 2260: 1732: 1169:is accepted as diatonic in minor keys. 760: 2564: 1327:Instrumental compositions of the late 1307:can be used in this distinct way also. 606:Most, but not all writers, accept the 2956: 2944: 2933:Contemporary Music Theory – Level Two 2870: 2845: 2746:Contemporary Music Theory – Level Two 2719: 2603:, accepts only the major as diatonic. 2546: 1640:Other pentatonic scales (such as the 7: 2897:Kostka, Stefan, and Payne, Dorothy, 1702:selection from a matrix of beats of 1626: 1000:and its multiples, the notes F and E 687:exclusive use to prevent confusion. 571:(same as the descending form of the 511:tetrachords. The origin of the word 483:as defined by George William Lemon, 1938:(c. 580 BCE – c. 500 BCE), through 1784:Modern meanings of "diatonic scale" 1233:are also applied inconsistently to 523:(which includes all of the modes). 1158:is diatonic "to" or "in" C minor. 1138:. However, given the ambiguity of 575:), but not the old ecclesiastical 25: 563:thereof). This would include the 546:... –T–T–T–S–T–T–S–T–T–T–S–T– ... 3317: 2790:. New York: St. Martin's Press. 2161:, but here applied to a melodic 2145:, as for example in the article 1548:The same as the second sense of 791: 779: 763: 675:Some other meanings of the term 377: 369: 326: 318: 310: 298: 133: 112: 3060:Structural Functions of Harmony 2696:Elements of Musical Composition 2590:, Schirmer, 1931 edition, p. 3. 1245:any kind of harmony inside the 1043:intervals. Under a generalized 1035:, these intervals are labelled 221:of the 14th to 16th centuries. 184:music of the period 1600–1900. 2405:The Notation of Medieval Music 2296:Music of the Twentieth Century 1990:) for recent uses of the term 939: 895:In different systems of tuning 735:Some instruments, such as the 156:that are used to characterize 1: 3014:, "Analysis", §II: History 3. 2757:See also Williams, Peter F., 2708:Von Luschan's chromatic scale 2269:Music: In Theory and Practice 992:In cases where intervals are 3176:Black Music Research Journal 2386:, second edition, edited by 2267:Benward & Saker (2003). 901: 703: 515:is explained in the article 451: 2417:Harvard Dictionary of Music 1897:divisions of the tetrachord 1637:arrangement of those notes. 1633:: C–D–E–G–A, or some other 1604:via a diatonic progression. 1563:in the second sense, above. 1268:. According to this usage, 1213:chromatic triads by mixture 1161:On this understanding, the 3380: 2784:Lovelock, William (1971). 2772:Beethoven: Violin Concerto 2680:#Diatonic_pentatonic_scale 2676:#Extended pitch selections 2471:(which is plural of Latin 2438:A History of Western Music 2394:(London: Macmillan, 2001). 1852:is from Greek χρωματικός ( 1629:) is sometimes called the 1443:, act 3, magic sleep music 1431:, act 3, magic sleep music 1182:–D) would be chromatic or 694: 469: 400: 251: 32:Chromatic (disambiguation) 29: 3315: 3242: 3140:Perspectives of New Music 3121:Twentieth-Century Harmony 2859:On the Sensations of Tone 2809:William, Drabkin (2001). 2623:Perspectives of New Music 2271:, Vol. I, p. 38. 7th ed. 1822:), itself from διάτονος ( 1769:, and the ecclesiastical 1669:Extended pitch selections 1631:diatonic pentatonic scale 1529:is used in three senses: 1503:) is used in two senses: 998:12-tone equal temperament 854:doubly augmented fourth. 774:, a brand of glockenspiel 623:(ascending form) and the 207:12-tone equal temperament 2882:Ziehn, Bernhard (1907). 2571:: CS1 maint: location ( 2523:Grout & Palisca 2001 1617:One very common kind of 1163:diminished seventh chord 857:Additionally, the label 397:Renaissance chromaticism 308:, making the pitches A G 209:, which consists of all 2986:Journal of Music Theory 2823:Oxford University Press 2690:It is not usual to use 2510:, "Musica Ficta", I, ii 2419:, 2nd ed., "Chromatic". 1600:Diatonic modulation is 1571:is used in two senses: 1080:" (which is actually a 1047:tuning, notes such as G 906:download the audio file 708:download the audio file 649:forms of the minor) or 456:download the audio file 365:white mensural notation 3304:Polymodal chromaticism 3284:Diatonic and chromatic 2787:The rudiments of music 2669: 2513: 1856:), itself from χρῶμα ( 1675:non-traditional scales 1473: 1444: 1432: 1398: 1390: 1367: 1359: 1339:Piece ‘His Humour’ by 1223: 1125: 1115: 1012:(an augmented third). 985: 968: 956: 871:could be considered a 824: 601:Common Practice Period 496: 488: 244: 142: 121: 88: 86: 74: 3252:Augmented sixth chord 3025:chromatic progression 2599:Goetschius, as cited 2343:: "in") and ἁρμονία ( 2135:. Some theorists use 1944:Alypius of Alexandria 1527:chromatic progression 1499:(alternatively spelt 1438: 1426: 1396: 1388: 1365: 1357: 1241:Often musicians call 1120: 978: 966: 954: 850:considered diatonic. 494: 479: 418:Prophetiae Sibyllarum 232: 127: 94: 84: 72: 40: 3030:chromatic inflection 2463:Rendered by many as 2165:rather than a scale. 1569:diatonic progression 1561:chromatic inflection 1550:chromatic inflection 1497:chromatic inflection 1448:Miscellaneous usages 1376:Piano Concerto No. 4 1366:Farnaby - His Humour 1358:Farnaby - His Humour 1033:meantone temperament 667:(and conversely for 3339:Ancient Greek music 2731:Goetschius, Percy, 2586:Goetschius, Percy. 2320:Ancient Greek music 2238:Chromatic harmonies 2182:of C minor (C, D, E 1481:chromatic note/tone 942: 786:Chromatic Pixiphone 731:Musical instruments 569:natural minor scale 342:Medieval coloration 3274:Chromatic fantasia 2969:Music for Our Time 2818:Grove Music Online 2652:and related terms: 2616:Gould, M. (2000). 2473:carmen chromaticum 2469:Carmina chromatica 2465:Carmina chromatico 2316:Pythagoras, a Life 2234:Diatonic harmonies 2137:chromatic interval 2129:chromatic interval 2105:chromatic interval 2061:chromatic interval 1477:diatonic note/tone 1445: 1433: 1399: 1391: 1368: 1360: 1321:chromatic mediants 1220:Allen Forte (1979) 1126: 1112:Allen Forte (1979) 1029:Pythagorean tuning 986: 969: 957: 940: 497: 489: 245: 143: 122: 89: 87: 75: 3326: 3325: 3279:Chromatic mediant 3111:, p. 125, note 2. 2832:978-1-56159-263-0 2722:, pp. 19–20. 2277:978-0-07-294262-0 2121:diatonic interval 2077:diatonic interval 2057:diatonic interval 1812:The English word 1653:Modern extensions 1545:–A, for example). 1424: 1386: 1355: 1305:chromatic harmony 1270:chromatic harmony 1255:chromatic harmony 990: 989: 976: 964: 952: 910: 844:diminished fourth 712: 636:"Inclusive" usage 614:"Exclusive" usage 485:English Etymology 460: 139: 118: 85:With figured bass 82: 70: 51:Thy Hand, Belinda 16:(Redirected from 3371: 3321: 3299:Neapolitan chord 3262:Chromatic fourth 3229: 3222: 3215: 3206: 3200: 3199: 3171: 3165: 3164: 3134: 3128: 3118: 3112: 3105: 3096: 3093:Neapolitan sixth 3085: 3079: 3076:New Grove Online 3072: 3063: 3056: 3050: 3043: 3037: 3021: 3015: 3008: 3002: 3001: 2981: 2972: 2966: 2960: 2954: 2948: 2942: 2936: 2931:Harrison, Mark, 2929: 2923: 2916: 2910: 2895: 2889: 2880: 2874: 2868: 2862: 2855: 2849: 2843: 2837: 2836: 2821:(8th ed.). 2814: 2806: 2800: 2799: 2781: 2775: 2768: 2762: 2755: 2749: 2742: 2736: 2729: 2723: 2717: 2711: 2688: 2670: 2647: 2613: 2604: 2597: 2591: 2584: 2578: 2576: 2570: 2562: 2550: 2545:(3rd ed.). 2535: 2526: 2520: 2514: 2511: 2508:New Grove Online 2491: 2490: 2477:New Grove Online 2461: 2455: 2454:, "Coloratura"). 2448: 2442: 2441: 2430:Grout, Donald J. 2426: 2420: 2414: 2408: 2401: 2395: 2380: 2374: 2368: 2362: 2359:Enharmonic genus 2329: 2323: 2312: 2306: 2289: 2280: 2265: 2248: 2246: 2245: 2230: 2224: 2217: 2211: 2207: 2201: 2199: 2198: 2193: 2192: 2187: 2186: 2172: 2166: 2155:chromatic fourth 2147:Chromatic fourth 2118: 2117: 2112: 2111: 2102: 2101: 2096: 2095: 2090: 2089: 2084: 2083: 2053: 2047: 2032: 2026: 2022: 2016: 2009: 2003: 1984: 1978: 1970: 1964: 1957: 1951: 1931: 1925: 1910: 1904: 1885: 1879: 1847: 1841: 1832:), from πυκνός ( 1810: 1804: 1793: 1787: 1786:in this article. 1780: 1774: 1759: 1753: 1737: 1619:pentatonic scale 1612:Pentatonic scale 1589: 1588: 1583: 1582: 1544: 1543: 1538: 1537: 1515: 1514: 1471: 1425: 1387: 1356: 1301:diatonic harmony 1299:, for example), 1293:dominant harmony 1278:Neapolitan sixth 1262:diatonic harmony 1243:diatonic harmony 1221: 1181: 1180: 1157: 1156: 1151: 1150: 1113: 1093: 1092: 1082:diminished sixth 1058: 1057: 1052: 1051: 1011: 1010: 1005: 1004: 984: 983: 977: 965: 953: 943: 937: 936: 931: 930: 925: 924: 919: 918: 890: 889: 884: 883: 870: 869: 841: 840: 835: 834: 822: 795: 783: 767: 645:(the major, and 590: 589: 584: 583: 436:Nicola Vicentino 428:musica reservata 382: 381: 374: 373: 337: 336: 331: 330: 323: 322: 315: 314: 303: 302: 295: 294: 289: 288: 193:heptatonic scale 141: 140: 120: 119: 83: 71: 21: 3379: 3378: 3374: 3373: 3372: 3370: 3369: 3368: 3354:Music of Greece 3344:Byzantine music 3329: 3328: 3327: 3322: 3313: 3309:Secondary chord 3289:English cadence 3238: 3233: 3203: 3202: 3173: 3172: 3168: 3136: 3135: 3131: 3119: 3115: 3106: 3099: 3086: 3082: 3073: 3066: 3057: 3053: 3045:Wallace Berry, 3044: 3040: 3028:progression is 3022: 3018: 3009: 3005: 2983: 2982: 2975: 2967: 2963: 2955: 2951: 2943: 2939: 2930: 2926: 2917: 2913: 2896: 2892: 2881: 2877: 2869: 2865: 2856: 2852: 2844: 2840: 2833: 2808: 2807: 2803: 2783: 2782: 2778: 2769: 2765: 2756: 2752: 2743: 2739: 2735:, 1931, p. 6. . 2730: 2726: 2718: 2714: 2704:chromatic scale 2692:chromatic scale 2689: 2685: 2615: 2614: 2607: 2598: 2594: 2585: 2581: 2563: 2559: 2537: 2536: 2529: 2521: 2517: 2512: 2506: 2488: 2487: 2462: 2458: 2449: 2445: 2434:Palisca, Claude 2428: 2427: 2423: 2415: 2411: 2403:Parrish, Carl, 2402: 2398: 2381: 2377: 2369: 2365: 2330: 2326: 2313: 2309: 2290: 2283: 2266: 2262: 2257: 2252: 2251: 2243: 2242: 2231: 2227: 2218: 2214: 2208: 2204: 2196: 2195: 2190: 2189: 2184: 2183: 2173: 2169: 2159:chromatic scale 2139:to mean simply 2115: 2114: 2109: 2108: 2099: 2098: 2093: 2092: 2087: 2086: 2081: 2080: 2054: 2050: 2033: 2029: 2023: 2019: 2010: 2006: 1985: 1981: 1971: 1967: 1958: 1954: 1932: 1928: 1911: 1907: 1903:, "Tetrachord". 1886: 1882: 1876:Chromatic genus 1860:), which means 1848: 1844: 1811: 1807: 1799:; plural γένη, 1794: 1790: 1781: 1777: 1760: 1756: 1738: 1734: 1729: 1716:Major and minor 1712: 1692:African rhythms 1688: 1679:group-theoretic 1671: 1655: 1614: 1597: 1586: 1585: 1580: 1579: 1541: 1540: 1535: 1534: 1523: 1512: 1511: 1493: 1472: 1466: 1455: 1450: 1419: 1413:chromatic scale 1381: 1350: 1345:chromatic scale 1297:E minor harmony 1287:Since the word 1274:augmented sixth 1251:common practice 1222: 1219: 1205:mixture of mode 1202: 1197: 1178: 1177: 1154: 1153: 1148: 1147: 1144:augmented triad 1114: 1111: 1104: 1090: 1089: 1055: 1054: 1049: 1048: 1025:cycle of fifths 1008: 1007: 1002: 1001: 981: 980: 971: 959: 947: 934: 933: 928: 927: 922: 921: 916: 915: 912: 911: 909: 897: 887: 886: 881: 880: 867: 866: 838: 837: 832: 831: 823: 817: 809: 804: 803: 802: 799: 796: 787: 784: 775: 768: 733: 714: 713: 711: 699: 697:Chromatic scale 693: 691:Chromatic scale 597: 595:Modern meanings 587: 586: 581: 580: 474: 468: 467: 466: 463: 462: 461: 459: 444: 442:Diatonic scales 405: 399: 376: 368: 344: 334: 333: 325: 317: 309: 297: 292: 291: 286: 285: 256: 250: 227: 203:chromatic scale 182:common practice 176:, and kinds of 134: 113: 77: 65: 56:Dido and Aeneas 35: 28: 23: 22: 15: 12: 11: 5: 3377: 3375: 3367: 3366: 3361: 3356: 3351: 3349:Musical scales 3346: 3341: 3331: 3330: 3324: 3323: 3316: 3314: 3312: 3311: 3306: 3301: 3296: 3294:False relation 3291: 3286: 3281: 3276: 3271: 3270: 3269: 3259: 3257:Borrowed chord 3254: 3249: 3243: 3240: 3239: 3234: 3232: 3231: 3224: 3217: 3209: 3201: 3188:10.2307/779378 3166: 3153:10.2307/833490 3147:(1): 140–161. 3129: 3125:diatonic scale 3113: 3097: 3080: 3064: 3051: 3038: 3016: 3003: 2973: 2961: 2959:, p. 498. 2949: 2947:, p. 497. 2937: 2924: 2911: 2890: 2875: 2873:, p. 352. 2863: 2850: 2838: 2831: 2801: 2776: 2770:Robin Stowel, 2763: 2750: 2737: 2724: 2712: 2672: 2671: 2668: 2667: 2664: 2660: 2650:diatonic scale 2636:10.2307/833660 2605: 2592: 2579: 2557: 2527: 2525:, p. 188. 2515: 2504: 2456: 2443: 2421: 2409: 2396: 2375: 2363: 2324: 2307: 2281: 2259: 2258: 2256: 2253: 2250: 2249: 2225: 2212: 2202: 2167: 2048: 2027: 2017: 2004: 1979: 1965: 1952: 1926: 1905: 1891:(τετράχορδον; 1880: 1842: 1838:Diatonic genus 1805: 1788: 1775: 1754: 1731: 1730: 1728: 1725: 1724: 1723: 1718: 1711: 1708: 1687: 1684: 1670: 1667: 1654: 1651: 1650: 1649: 1638: 1613: 1610: 1609: 1608: 1605: 1596: 1593: 1592: 1591: 1576: 1565: 1564: 1553: 1546: 1522: 1519: 1518: 1517: 1508: 1492: 1489: 1485:diatonic scale 1464: 1454: 1451: 1449: 1446: 1403:Richard Wagner 1325: 1324: 1309: 1308: 1285: 1282:seventh chords 1258: 1217: 1196: 1193: 1174:diatonic scale 1140:diatonic scale 1122:Bernhard Ziehn 1109: 1103: 1100: 994:enharmonically 988: 987: 903: 900: 898: 896: 893: 828:diatonic scale 815: 808: 805: 801: 800: 797: 790: 788: 785: 778: 776: 769: 762: 759: 758: 757: 732: 729: 705: 702: 700: 695:Main article: 692: 689: 677:diatonic scale 673: 672: 660: 659: 655: 654: 638: 637: 633: 632: 625:harmonic minor 616: 615: 596: 593: 556: 555: 548: 547: 521:Guido d'Arezzo 517:Guidonian hand 472:Diatonic scale 470:Main article: 464: 453: 450: 448: 447: 446: 445: 443: 440: 398: 395: 343: 340: 252:Main article: 249: 246: 226: 223: 219:mensural music 174:musical styles 104:, movement I, 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 3376: 3365: 3362: 3360: 3357: 3355: 3352: 3350: 3347: 3345: 3342: 3340: 3337: 3336: 3334: 3320: 3310: 3307: 3305: 3302: 3300: 3297: 3295: 3292: 3290: 3287: 3285: 3282: 3280: 3277: 3275: 3272: 3268: 3265: 3264: 3263: 3260: 3258: 3255: 3253: 3250: 3248: 3247:Altered chord 3245: 3244: 3241: 3237: 3230: 3225: 3223: 3218: 3216: 3211: 3210: 3207: 3197: 3193: 3189: 3185: 3181: 3177: 3170: 3167: 3162: 3158: 3154: 3150: 3146: 3142: 3141: 3133: 3130: 3126: 3122: 3117: 3114: 3110: 3109:Form in Music 3104: 3102: 3098: 3094: 3090: 3089:Form in Music 3084: 3081: 3077: 3071: 3069: 3065: 3061: 3055: 3052: 3048: 3047:Form in Music 3042: 3039: 3035: 3034:Form in Music 3031: 3026: 3020: 3017: 3013: 3007: 3004: 2999: 2995: 2991: 2987: 2980: 2978: 2974: 2970: 2965: 2962: 2958: 2953: 2950: 2946: 2941: 2938: 2935:, 1999, p. 7. 2934: 2928: 2925: 2921: 2920:Tonal harmony 2915: 2912: 2908: 2907:9780070358744 2904: 2900: 2899:Tonal Harmony 2894: 2891: 2887: 2886: 2879: 2876: 2872: 2867: 2864: 2860: 2854: 2851: 2848:, p. 21. 2847: 2842: 2839: 2834: 2828: 2824: 2820: 2819: 2813: 2805: 2802: 2797: 2793: 2789: 2788: 2780: 2777: 2773: 2767: 2764: 2760: 2754: 2751: 2748:, 1999, p. 5. 2747: 2741: 2738: 2734: 2728: 2725: 2721: 2716: 2713: 2709: 2706:may refer to 2705: 2701: 2697: 2693: 2687: 2684: 2683: 2681: 2677: 2665: 2661: 2658: 2657: 2656: 2651: 2645: 2641: 2637: 2633: 2630:(2): 88–105. 2629: 2625: 2624: 2619: 2612: 2610: 2606: 2602: 2596: 2593: 2589: 2583: 2580: 2574: 2568: 2560: 2558:0-03-020756-8 2554: 2549: 2544: 2543:Tonal Harmony 2540: 2534: 2532: 2528: 2524: 2519: 2516: 2509: 2503: 2501: 2500: 2495: 2485: 2478: 2474: 2470: 2466: 2460: 2457: 2453: 2447: 2444: 2439: 2435: 2431: 2425: 2422: 2418: 2413: 2410: 2406: 2400: 2397: 2393: 2389: 2388:Stanley Sadie 2385: 2379: 2376: 2372: 2367: 2364: 2360: 2356: 2352: 2351: 2346: 2342: 2338: 2334: 2328: 2325: 2321: 2317: 2311: 2308: 2305: 2304:90-5356-765-8 2301: 2297: 2293: 2292:Leeuw, Ton de 2288: 2286: 2282: 2278: 2274: 2270: 2264: 2261: 2254: 2239: 2235: 2229: 2226: 2222: 2216: 2213: 2206: 2203: 2181: 2177: 2176:natural minor 2171: 2168: 2164: 2160: 2156: 2152: 2151:chromatically 2148: 2144: 2143: 2138: 2134: 2130: 2126: 2122: 2106: 2078: 2074: 2070: 2066: 2062: 2058: 2052: 2049: 2045: 2041: 2037: 2031: 2028: 2021: 2018: 2014: 2008: 2005: 2001: 1997: 1993: 1989: 1983: 1980: 1976: 1969: 1966: 1962: 1956: 1953: 1949: 1945: 1941: 1937: 1930: 1927: 1923: 1922:0-486-43406-0 1919: 1915: 1909: 1906: 1902: 1898: 1894: 1890: 1884: 1881: 1877: 1873: 1872: 1871:Greek lexicon 1867: 1863: 1859: 1855: 1851: 1846: 1843: 1839: 1835: 1831: 1830: 1825: 1821: 1817: 1816: 1809: 1806: 1802: 1798: 1792: 1789: 1785: 1779: 1776: 1772: 1768: 1764: 1758: 1755: 1751: 1746: 1742: 1736: 1733: 1726: 1722: 1721:Universal key 1719: 1717: 1714: 1713: 1709: 1707: 1705: 1701: 1697: 1693: 1685: 1683: 1680: 1676: 1668: 1666: 1664: 1660: 1652: 1647: 1643: 1639: 1636: 1632: 1628: 1624: 1620: 1616: 1615: 1611: 1606: 1603: 1599: 1598: 1594: 1577: 1574: 1573: 1572: 1570: 1562: 1558: 1554: 1551: 1547: 1532: 1531: 1530: 1528: 1520: 1509: 1506: 1505: 1504: 1502: 1498: 1490: 1488: 1486: 1482: 1478: 1469: 1463: 1461: 1452: 1447: 1442: 1437: 1430: 1417: 1414: 1410: 1409: 1404: 1395: 1379: 1377: 1373: 1364: 1348: 1346: 1342: 1341:Giles Farnaby 1338: 1334: 1330: 1322: 1318: 1314: 1313: 1312: 1306: 1302: 1298: 1294: 1290: 1286: 1283: 1279: 1275: 1271: 1267: 1263: 1259: 1256: 1252: 1248: 1244: 1240: 1239: 1238: 1236: 1232: 1228: 1216: 1214: 1210: 1206: 1194: 1192: 1190: 1185: 1175: 1170: 1168: 1165:built on the 1164: 1159: 1145: 1141: 1137: 1133: 1132: 1123: 1119: 1108: 1101: 1099: 1095: 1087: 1083: 1079: 1075: 1072: 1068: 1064: 1063: 1046: 1042: 1038: 1034: 1030: 1026: 1022: 1018: 1013: 999: 995: 945: 944: 938: 907: 894: 892: 878: 874: 864: 860: 855: 851: 849: 845: 829: 820: 814: 806: 794: 789: 782: 777: 773: 766: 761: 756: 754: 750: 746: 742: 738: 730: 728: 726: 722: 717: 709: 698: 690: 688: 685: 680: 678: 670: 666: 662: 661: 658:"Mixed" usage 657: 656: 652: 648: 644: 640: 639: 635: 634: 630: 626: 622: 621:melodic minor 618: 617: 613: 612: 611: 609: 608:natural minor 604: 602: 594: 592: 578: 574: 573:melodic minor 570: 566: 562: 561:transposition 553: 552: 551: 545: 544: 543: 541: 537: 533: 529: 524: 522: 518: 514: 510: 506: 502: 493: 486: 482: 478: 473: 457: 441: 439: 437: 433: 429: 425: 420: 419: 414: 413:Orlando Lasso 410: 404: 396: 394: 392: 391: 386: 380: 372: 366: 361: 357: 353: 349: 341: 339: 329: 321: 313: 307: 306:quarter tones 301: 283: 279: 275: 271: 267: 263: 262: 255: 254:Genus (music) 247: 242: 238: 237: 231: 224: 222: 220: 216: 212: 208: 204: 200: 196: 194: 190: 185: 183: 179: 175: 171: 167: 163: 159: 155: 152:are terms in 151: 147: 131: 126: 111:: chromatic. 110: 107: 103: 102: 97: 93: 62: 58: 57: 52: 48: 47:Henry Purcell 44: 39: 33: 19: 3364:Chromaticism 3283: 3236:Chromaticism 3182:(1): 71–89. 3179: 3175: 3169: 3144: 3138: 3132: 3124: 3120: 3116: 3108: 3088: 3083: 3075: 3059: 3054: 3046: 3041: 3033: 3029: 3024: 3019: 3011: 3006: 2992:(1): 94–97. 2989: 2985: 2968: 2964: 2952: 2940: 2932: 2927: 2919: 2914: 2898: 2893: 2883: 2878: 2866: 2858: 2853: 2841: 2816: 2804: 2786: 2779: 2771: 2766: 2761:, OUP, 1997. 2758: 2753: 2745: 2740: 2732: 2727: 2715: 2703: 2695: 2691: 2686: 2673: 2654: 2649: 2627: 2621: 2595: 2587: 2582: 2542: 2539:Forte, Allen 2518: 2507: 2497: 2493: 2483: 2481: 2476: 2472: 2468: 2464: 2459: 2451: 2446: 2437: 2424: 2416: 2412: 2404: 2399: 2392:John Tyrrell 2383: 2378: 2371:Chromaticism 2370: 2366: 2354: 2348: 2344: 2340: 2336: 2332: 2327: 2319: 2315: 2310: 2295: 2268: 2263: 2237: 2233: 2228: 2215: 2205: 2180:Aeolian mode 2170: 2162: 2158: 2154: 2150: 2140: 2136: 2132: 2128: 2124: 2120: 2104: 2076: 2068: 2064: 2060: 2056: 2051: 2039: 2035: 2030: 2020: 2007: 1999: 1991: 1982: 1968: 1960: 1955: 1929: 1913: 1908: 1896: 1893:tetrákhordon 1892: 1888: 1887:In practice 1883: 1869: 1865: 1861: 1857: 1853: 1849: 1845: 1833: 1827: 1823: 1819: 1813: 1808: 1800: 1796: 1791: 1778: 1757: 1744: 1740: 1735: 1703: 1699: 1689: 1672: 1662: 1658: 1656: 1645: 1630: 1622: 1568: 1566: 1560: 1557:musica ficta 1549: 1526: 1524: 1500: 1496: 1494: 1484: 1480: 1476: 1474: 1459: 1457: 1440: 1428: 1406: 1400: 1369: 1326: 1310: 1304: 1300: 1296: 1292: 1288: 1280:, chromatic 1276:chords, the 1269: 1265: 1261: 1254: 1242: 1230: 1226: 1224: 1212: 1208: 1204: 1199: 1188: 1173: 1171: 1167:leading note 1160: 1139: 1135: 1128: 1127: 1106: 1096: 1073: 1060: 1040: 1036: 1014: 991: 913: 876: 872: 862: 858: 856: 852: 847: 827: 825: 811: 741:glockenspiel 734: 720: 718: 715: 683: 682:In general, 681: 676: 674: 668: 664: 650: 646: 642: 628: 605: 598: 577:church modes 557: 549: 525: 512: 508: 500: 498: 484: 480: 432:Greek genera 423: 416: 408: 406: 403:Chromaticism 388: 384: 355: 351: 347: 345: 281: 277: 273: 269: 265: 259: 257: 248:Greek genera 240: 235: 198: 197: 188: 186: 154:music theory 149: 145: 144: 129: 99: 61:figured bass 59:(1689) with 54: 3267:Lament bass 2337:enarmonikós 1940:Aristoxenus 1854:khrōmatikós 1767:major scale 1763:minor scale 1521:Progression 1468:Allen Forte 1441:Die Walküre 1429:Die Walküre 1408:Die Walküre 1329:Renaissance 1317:accidentals 1247:major–minor 819:Allen Forte 565:major scale 282:tetrachords 96:Béla Bartók 43:accidentals 3333:Categories 2957:Forte 1979 2945:Forte 1979 2871:Forte 1979 2846:Forte 1979 2812:"Diatonic" 2796:1039070588 2720:Forte 1979 2496: [ 2333:inharmonic 2255:References 2221:alteration 2210:resources. 2044:Stravinsky 1996:Amazon.com 1936:Pythagoras 1889:tetrachord 1862:complexion 1820:diatonikós 1602:modulation 1595:Modulation 1491:Inflection 1331:and early 1249:system of 1225:The words 1207:or simply 1078:wolf fifth 1071:diminished 1027:, such as 753:embouchure 567:, and the 424:Prophetiae 401:See also: 390:coloratura 352:coloration 324:E (where F 278:enharmonic 215:tetrachord 3012:New Grove 2682:, below. 2674:See also 2567:cite book 2484:coniuncta 2452:New Grove 2298:, p. 93. 2188:, F, G, A 2178:scale or 2065:chromatic 2034:However, 1961:coloratio 1850:Chromatic 1745:chromatic 1623:exclusive 1567:The term 1525:The term 1501:inflexion 1495:The term 1460:chromatic 1405:'s opera 1372:Beethoven 1311:However, 1231:chromatic 1136:chromatic 1129:Diatonic 1086:semitones 1074:chromatic 1067:augmented 1041:chromatic 873:chromatic 859:chromatic 807:Intervals 772:Pixiphone 770:Diatonic 745:harmonica 725:semitones 721:chromatic 669:chromatic 651:chromatic 536:semitones 528:intervals 409:chromatic 407:The term 385:chromatic 356:coloratio 348:cromatico 346:The term 274:chromatic 264:, plural 241:chromatic 211:semitones 199:Chromatic 162:intervals 150:chromatic 130:Music ... 2541:(1979). 2505:—  2494:GerbertS 2489:♯ 2436:(2001). 2345:harmonía 2294:(2005). 2244:♯ 2197:♭ 2191:♭ 2185:♭ 2163:interval 2142:semitone 2133:diatonic 2123:to mean 2116:♭ 2110:♯ 2100:♮ 2094:♮ 2088:♭ 2082:♯ 2040:diatonic 1992:diatonic 1864:, hence 1824:diátonos 1815:diatonic 1750:tonality 1741:diatonic 1710:See also 1659:diatonic 1646:diatonic 1587:♭ 1581:♯ 1552:, above. 1542:♯ 1536:♯ 1513:♯ 1465:—  1439:Wagner, 1427:Wagner, 1337:Virginal 1227:diatonic 1218:—  1179:♮ 1155:♮ 1149:♭ 1110:—  1091:♯ 1056:♭ 1050:♯ 1045:meantone 1037:diatonic 1009:♯ 1003:♯ 982:♯ 941:Compare 935:♯ 929:♮ 923:♮ 917:♮ 888:♭ 882:♮ 877:diatonic 868:♭ 863:diatonic 839:♭ 833:♮ 826:Because 816:—  684:diatonic 665:diatonic 643:diatonic 588:♭ 582:♮ 509:diatonic 360:Ars Nova 335:♮ 293:♭ 287:♭ 270:diatonic 189:diatonic 146:Diatonic 128:Bartók: 18:Diatonic 3359:Harmony 3107:Berry, 2350:harmony 1706:size). 1686:Rhythms 1625:sense, 1333:Baroque 1289:harmony 1235:harmony 1209:mixture 1195:Harmony 1184:altered 1021:31-tone 1017:19-tone 487:, 1783. 354:(Latin 225:History 178:harmony 109:subject 53:" from 3196:779378 3194:  3161:833490 3159:  2998:842933 2996:  2905:  2829:  2794:  2663:tones. 2644:833660 2642:  2555:  2302:  2275:  2036:beyond 2025:other. 1920:  1866:colour 1858:khrṓma 1834:pyknós 1829:pyknón 1739:Often 1470:(1979) 1462:notes. 1284:, etc. 1264:means 1189:belong 1131:chords 1102:Chords 1062:diesis 821:(1979) 737:violin 540:octave 276:, and 266:genera 166:chords 158:scales 73:Melody 3192:JSTOR 3157:JSTOR 2994:JSTOR 2700:below 2640:JSTOR 2601:below 2475:) in 2113:and E 2091:and F 2073:tonic 2069:minor 2013:below 1988:JSTOR 1975:below 1899:(see 1797:génos 1771:modes 1727:Notes 1696:beats 1663:modes 1642:pelog 1635:modal 1627:above 1453:Tones 1053:and A 926:and E 627:– as 532:tones 513:gamut 505:modes 501:gamut 481:Gamut 261:genus 170:notes 106:fugue 3087:See 3074:See 2903:ISBN 2827:ISBN 2792:OCLC 2573:link 2553:ISBN 2548:s.l. 2390:and 2300:ISBN 2273:ISBN 2059:and 1918:ISBN 1801:génē 1743:and 1584:–G–A 1479:and 1303:and 1229:and 1152:–G–B 1088:(E–E 1031:and 1019:and 749:harp 526:The 332:is F 148:and 49:'s " 3184:doi 3149:doi 3023:"A 2632:doi 2499:sic 2241:D–F 2194:, B 1948:fl. 1901:OED 1704:any 1700:any 1555:In 1374:'s 1069:or 1039:or 979:C–E 967:C–F 955:C–E 861:or 848:not 842:(a 647:all 629:non 534:or 415:'s 205:in 3335:: 3190:. 3180:16 3178:. 3155:. 3145:34 3143:. 3100:^ 3067:^ 2988:. 2976:^ 2825:. 2815:. 2638:. 2628:38 2626:. 2620:. 2608:^ 2569:}} 2565:{{ 2530:^ 2432:; 2341:en 2284:^ 2097:–E 2085:–E 1977:). 1539:–F 1295:, 1237:: 932:-E 920:-F 885:–E 836:–E 747:, 719:A 591:. 585:/B 393:. 272:, 172:, 168:, 164:, 98:: 3228:e 3221:t 3214:v 3198:. 3186:: 3163:. 3151:: 3000:. 2990:2 2909:. 2835:. 2798:. 2710:. 2646:. 2634:: 2575:) 2561:. 2361:. 2279:. 2232:" 2223:. 2002:. 1946:( 1924:. 1878:. 1840:. 1803:. 1773:. 1648:. 1590:. 1347:: 1323:. 1215:. 1146:E 908:. 813:. 710:. 653:. 458:. 316:F 243:. 34:. 20:)

Index

Diatonic
Chromatic (disambiguation)

accidentals
Henry Purcell
Thy Hand, Belinda
Dido and Aeneas
figured bass

Béla Bartók
Music for Strings, Percussion and Celesta
fugue
subject

music theory
scales
intervals
chords
notes
musical styles
harmony
common practice
heptatonic scale
chromatic scale
12-tone equal temperament
semitones
tetrachord
mensural music

The History of the Arts and Sciences of the Antients

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