Knowledge (XXG)

Aleatoric music

Source đź“ť

22: 304:(1955–56), which is Greek for "actions by means of probability". This work contains four sections, characterized by textural and timbral attributes, such as glissandi and pizzicati. At the macroscopic level, the sections are designed and controlled by the composer while the single components of sound are controlled by mathematical theories. 203:(String Quartet No. 3, 1934), which allows the players to arrange the fragments of music in a number of different possible sequences. Cowell also used specially devised notations to introduce variability into the performance of a work, sometimes instructing the performers to improvise a short passage or play 217:
of 1944) used procedures superficially similar to Cowell's, in which different short patterns with specified pitches and rhythm are assigned to several parts, with instructions that they be performed repeatedly at their own speed without coordination with the rest of the ensemble. Some scholars
339:(1951) for piano solo, written on coordinate paper. Time units are represented by the squares viewed horizontally, while relative pitch levels of high, middle, and low are indicated by three vertical squares in each row. The performer determines what particular pitches and rhythms to play. 381:
to mean a work which is fundamentally incomplete, represents an unfinished activity, or points outside of itself. In this sense, a "mobile form" can be either "open" or "closed". An example of a "dynamic, closed" mobile musical composition is Stockhausen's
294:, an ancient Chinese book which prescribes methods for arriving at random numbers. Because this work is absolutely fixed from performance to performance, Cage regarded it as an entirely determinate work made using chance procedures. On the level of detail, 273:, and use the terms interchangeably. From this point of view, indeterminate or chance music can be divided into three groups: (1) the use of random procedures to produce a determinate, fixed score, (2) mobile form, and (3) indeterminate notation, including 218:
regard the resultant blur as "hardly aleatory, since exact pitches are carefully controlled and any two performances will be substantially the same" although, according to another writer, this technique is essentially the same as that later used by
97:(adjective), his translator created a new English word, "aleatoric" (rather than using the existing English adjective "aleatory"), which quickly became fashionable and has persisted. More recently, the variant "aleatoriality" has been introduced. 74:, and/or some primary element of a composed work's realization is left to the determination of its performer(s). The term is most often associated with procedures in which the chance element involves a relatively limited number of possibilities. 88:
in the beginning of the 1950s. According to his definition, "a process is said to be aleatoric ... if its course is determined in general but depends on chance in detail". Through a confusion of Meyer-Eppler's German terms
322:
The greatest degree of indeterminacy is reached by the third type of indeterminate music, where traditional musical notation is replaced by visual or verbal signs suggesting how a work can be performed, for example in
311:'s KlavierstĂĽck XI (1956) presents nineteen events which are composed and notated in a traditional way, but the arrangement of these events is determined by the performer spontaneously during the performance. In 222:. Depending on the vehemence of the technique, Hovhaness's published scores annotate these sections variously, for example as "Free tempo / humming effect" and "Repeat and repeat ad lib, but not together". 157:, written with Duchamp's sisters Yvonne and Magdeleine for three voices, was first performed at the Manifestation of Dada on 27 March 1920, and was eventually published in 1934. Two of his contemporaries, 1595:
GRAPHITE '06: Proceedings of the 4th International Conference on Computer Graphics and Interactive Techniques in Australasia and South East Asia, Kuala Lumpur (Malaysia), November 29 – December 2, 2006
555:, and others. Snow used digital samples of acoustic instruments "to merge starkly electronic timbres with acoustically based sounds, an approach developed extensively in his much celebrated music for 307:
In the second type of indeterminate music, chance elements involve the performance. Notated events are provided by the composer, but their arrangement is left to the determination of the performer.
248:
in 1960–61), where extensive passages of pitches and rhythms are fully specified, but the rhythmic coordination of parts within the ensemble is subject to an element of chance.
21: 331:(1952) shows lines and rectangles of various lengths and thicknesses that can read as loudness, duration, or pitch. The performer chooses how to read them. Another example is 1705: 110:
Compositions that could be considered a precedent for aleatory composition date back to at least the late 15th century, with the genre of the catholicon, exemplified by the
280:
The first group includes scores in which the chance element is involved only in the process of composition, so that every parameter is fixed before their performance. In
571: 1527: 1471: 1292: 1135: 566: 1559:, translated from the seventh German edition (1929) by Marie D. Hottinger. London: G. Bell and Sons, Ltd. Reprinted, New York: Dover Publications, 1950. 183:
is of a different order from Meyer-Eppler's concept. Cage later asked Duchamp: "How is it that you used chance operations when I was just being born?"
1433: 146:, for which each measure had several possible versions and a procedure for selecting the precise sequence based on the throwing of a number of dice. 1698: 240:, which features 19 elements to be performed in a sequence to be determined in each case by the performer. A form of limited aleatory was used by 559:(1993–2002, 2016–18). Over the course of the series, Snow's often ambient music dissolved distinctions between sound design and musical score." 1574: 1111: 1343:
Joe, Jeongwon, and S. Hoon Song. 2002. "Roland Barthes' 'Text' and Aleatoric Music: Is the Birth of the Reader the Birth of the Listener?".
2148: 576: 2153: 1691: 1632: 1617: 1602: 1517: 1500: 1461: 1453: 1406: 1386: 1369: 1361: 1226: 1202: 85: 2087: 2179: 2158: 233: 29: 1256: 2132: 1724: 1597:, edited by Y. T. Lee, Siti Mariyam Shamsuddin, Diego Gutierrez, and Norhaida Mohd Suaib, 245–250. New York: ACM Press. 1221:, with an introduction by Robert Piencikowski, 26–38. Oxford: Clarendon Press; New York: Oxford University Press, 1991. 122: 2189: 1658: 1536: 1480: 1301: 162: 1678: 1423:
1 ("Electronic Music"): 55–61. Original German edition, 1955, as "Statistische und psychologische Klangprobleme",
2184: 694: 547: 131: 423: 413: 367: 324: 274: 225:
In Europe, following the introduction of the expression "aleatory music" by Meyer-Eppler, the French composer
1908: 601: 404:. Specific examples of mathematics, statistics, and physics applied to music composition are the use of the 139: 1218: 251:
There has been much confusion of the terms aleatory and indeterminate/chance music. One of Cage's pieces,
165:, also experimented with chance composition, these works being performed at a Festival Dada staged at the 2194: 1758: 1741: 1261: 405: 319:(1962), the conductor is asked to decide the order of the events at the very moment of the performance. 308: 270: 237: 180: 25: 241: 219: 396:
Stochastic processes may be used in music to compose a fixed piece or may be produced in performance.
2092: 1544: 584: 580: 378: 166: 1999: 1414: 431: 191:
The earliest significant use of aleatory features is found in many of the compositions of American
112: 81: 2117: 2013: 1964: 1856: 1714: 1488: 1436: 1129: 1041: 1033: 975: 967: 1639: 1213:, 35–51. New York: Alfred A. Knopf, 1968. New English translation, as "Alea", in Pierre Boulez, 2102: 2082: 1866: 1824: 1748: 1628: 1613: 1598: 1570: 1513: 1496: 1457: 1449: 1402: 1382: 1365: 1357: 1334: 1235: 1222: 1210: 1198: 1117: 1107: 117: 179:(1951) was "the first composition to be largely determined by random procedures", though his 1989: 1984: 1861: 1819: 1780: 1763: 1278: 1025: 959: 606: 397: 355: 175: 2122: 2041: 2026: 1104:
The music of the Lord of the rings films: a comprehensive account of Howard Shore's scores
552: 493: 482: 359: 158: 130:
game, popular in the late 18th and early 19th century. (Such dice games are attributed to
67: 1448:. Music in the 20th Century. Cambridge, New York, Melbourne: Cambridge University Press. 1625:
The Ambient Century: from Mahler to Trance: The Evolution of Sound in the Electronic Age
2046: 2036: 2031: 1974: 1549:
Kunstgeschichtliche Grundbegriffe: das Problem der Stilentwicklung in der neueren Kunst
1417:. 1957. "Statistic and Psychologic Problems of Sound", translated by Alexander Goehr. 1309: 1174: 504: 473: 332: 295: 208: 150: 51: 288:(1951), for example, the composer selected duration, tempo, and dynamics by using the 2173: 2112: 1954: 1775: 1532: 1476: 1394: 1297: 1247: 1186: 537: 532: 377:
However, "open form" in music is also used in the sense defined by the art historian
226: 1197:, collected and presented by Paule Thévenin, 41–45. Paris: Éditions du Seuil, 1966. 1045: 979: 153:
composed two pieces between 1913 and 1915 based on chance operations. One of these,
1790: 1610:
Würfelkomposition: zeitgenössische Recherche: mit Betrachtungen über die Musik 1799
596: 562: 463: 443: 418: 351: 196: 192: 135: 673: 2056: 1959: 1785: 1753: 1590: 468: 451: 312: 300: 143: 1557:
Principles of Art History: The Problem of the Development of Style in Later Art
2127: 2051: 2021: 1949: 1918: 1891: 1846: 1841: 1829: 1768: 1672: 1149: 477: 71: 1121: 2107: 1994: 1969: 1901: 1896: 1876: 1871: 1836: 1644: 1419: 1314: 542: 531:
Examples of extensive aleatoric writing can be found in small passages from
347: 281: 213: 170: 78: 1217:, collected and presented by Paule Thévenin, translated from the French by 1209:, collected and presented by Paule Thévenin, translated from the French by 1029: 963: 2072: 1979: 1944: 1939: 1881: 1851: 999: 363: 1037: 1013: 971: 947: 1934: 1913: 1886: 1379:
Crossings: Kunst zum Hören und Sehen: Kunsthalle Wien, 29.5.-13. 9.1998
290: 1234:
Chrissochoidis, Ilias, Stavros Houliaras, and Christos Mitsakis. 2005.
2097: 1683: 1381:, edited by Cathrin Pichler, 55-61. Ostfildern bei Stuttgart: Cantz. 520: 384: 269:
Some writers do not make a distinction between aleatory, chance, and
253: 1664: 257:, itself composed using chance procedures, uses music from Mozart's 488: 63: 2077: 1525:
Rosner, Arnold, and Vance Wolverton. 2001. "Hovhaness , Alan ".
905: 903: 878: 876: 298:
used probability theories to define some microscopic aspects of
127: 77:
The term became known to European composers through lectures by
59: 16:
Music in which some element of the composition is left to chance
1687: 1318:, Op. 48 (score). New York: Peer International Corporation. 1250:, 241–249. Athens: The National and Kapodistrian University. 199:
adopted Ives's ideas during the 1930s, in such works as the
1469:
Rae, Charles Bodman. 2001. "Lutosławski, Witold (Roman)".
1257:"Hovhaness Concerto for 2 Pianos; (3) Pieces for 2 Pianos" 1567:
Formalized Music: Thought and Mathematics in Composition
1279:
An Unlikely Musical Pioneer? Early Aleatory Counterpoint
232:
Other early European examples of aleatory music include
743: 741: 739: 169:
concert hall, Paris, on 26 May 1920. American composer
1401:. Lanham, Maryland, Toronto, Oxford: Scarecrow Press. 771: 350:
is a term sometimes used for 'mobile' or 'polyvalent'
1493:
The Harvard Concise Dictionary of Music and Musicians
1569:. Bloomington and London: Indiana University Press. 86:
Darmstadt International Summer Courses for New Music
2141: 2065: 2012: 1927: 1812: 1801: 1721: 1640:
The Barrons: Forgotten Pioneers of Electronic Music
1193:, no. 59 (1 November). Reprinted in Pierre Boulez, 1181:. Darmstadt: Edition Tonos. (Second printing 1988.) 1077: 370:composed a series of influential "mobiles" such as 229:was largely responsible for popularizing the term. 1354:On the Track: A Guide to Contemporary Film Scoring 142:.) These games consisted of a sequence of musical 1399:Other Planets: The Music of Karlheinz Stockhausen 572:The Lord of the Rings: The Fellowship of the Ring 541:. Other film composers using this technique are 261:, referred to above, as well as original music. 1528:The New Grove Dictionary of Music and Musicians 1472:The New Grove Dictionary of Music and Musicians 1377:Lotringer, Sylvère. 1998. "Duchamp Werden". In 1293:The New Grove Dictionary of Music and Musicians 1179:Zur Theorie der offenen Form in der neuen Musik 1151:The Music of the Monsters of Lord of the Rings 1000:Chrissochoidis, Houliaras, & Mitsakis 2005 909: 882: 855: 400:was pioneered by Xenakis, who coined the term 1699: 867: 759: 648: 8: 1014:"The Stochastic Synthesis of Iannis Xenakis" 948:"The Stochastic Synthesis of Iannis Xenakis" 624: 1809: 1706: 1692: 1684: 1332:Jacobs, Arthur. 1966. "Admonitoric Note". 1327:, Op. 155 (score). New York: C. F. Peters. 1134:: CS1 maint: location missing publisher ( 1439:. 1 July 2014; Accessed 10 December 2020. 894: 807: 795: 747: 730: 1352:Karlin, Fred, and Rayburn Wright. 2004. 921: 20: 1356:, second edition. New York: Routledge. 1255:Farach-Colton, Andrew (November 2005). 1065: 933: 831: 660: 617: 1661:- online version of Mozart's dice game 1244:International Symposium Iannis Xenakis 1205:. English as "Alea" in Pierre Boulez, 1127: 1089: 819: 783: 718: 636: 7: 2149:List of experimental music festivals 207:. Later American composers, such as 1290:Griffiths, Paul. 2001. "Aleatory". 1246:, edited by Anastasia Georgaki and 1215:Stocktakings from an Apprenticeship 843: 507:to produce his scores, such as the 362:is indeterminate or left up to the 2154:List of electronic music festivals 1674:Aleatoric water musical instrument 1659:Mozart's Musikalisches WĂĽrfelspiel 1285:blog site (Accessed 22 June 2010). 14: 1427:1 ("Elektronische Musik"): 22–28. 1638:Stone, Susan. 7 February 2005. " 2088:Experimental musical instrument 1612:. Munich: Akademischer Verlag. 1539:. London: Macmillan Publishers. 1508:Roig-FrancolĂ­, Miguel A. 2008. 1483:. London: Macmillan Publishers. 1304:. London: Macmillan Publishers. 2159:List of experimental musicians 1648:. (Accessed 23 September 2008) 1591:Game Enhanced Music Manuscript 1510:Understanding Post-Tonal Music 1: 2133:Electroacoustic improvisation 1531:, second edition, edited by 1475:, second edition, edited by 1296:, second edition, edited by 265:Types of indeterminate music 1623:Prendergast, Mark J. 2000. 772:Rosner & Wolverton 2001 195:in the early 20th century. 163:Georges Ribemont-Dessaignes 2213: 1555:Wölfflin, Heinrich. 1932. 1207:Notes of an Apprenticeship 68:element of the composition 1589:Lieberman, David. 2006. " 1338:107, no. 1479 (May): 414. 548:X-Files: Fight the Future 259:Musikalisches WĂĽrfelspiel 132:Carl Phillip Emanuel Bach 123:Musikalisches WĂĽrfelspiel 1444:Pritchett, James. 1993. 1236:"Set theory in Xenakis' 1191:Nouvelle Revue française 1078:Karlin & Wright 2004 699:NYPL Digital Collections 583:outside of the gates of 503:Xenakis frequently used 416:of points on a plane in 414:statistical distribution 368:Roman Haubenstock-Ramati 120:. A later genre was the 1909:Intelligent dance music 1565:Xenakis, Iannis. 1971. 1551:. Munich, F. Bruckmann. 1512:. Boston: McGraw-Hill. 1323:Hovhaness, Alan. 1958. 674:"Erratum Musical, 1913" 602:Algorithmic composition 140:Wolfgang Amadeus Mozart 32:at Darmstadt, July 1957 1627:. London: Bloomsbury. 1446:The Music of John Cage 1030:10.1162/lmj.2009.19.77 1018:Leonardo Music Journal 1012:Luque, Sergio (2009). 964:10.1162/lmj.2009.19.77 952:Leonardo Music Journal 946:Luque, Sergio (2009). 327:pieces. Earle Brown's 271:indeterminacy in music 33: 2180:20th century in music 1325:Meditation on Orpheus 1277:Fisher, Lynn. 2010. " 535:' score for the film 406:statistical mechanics 354:, where the order of 309:Karlheinz Stockhausen 238:Karlheinz Stockhausen 26:Karlheinz Stockhausen 24: 2093:Experimental luthier 1803:Experimental popular 1608:Pimmer, Hans. 1997. 1415:Meyer-Eppler, Werner 1102:Adams, Doug (2010). 695:"Manifestation Dada" 581:Watcher in the Water 211:(beginning with his 2014:Extended techniques 1489:Randel, Don Michael 1080:, pp. 430–436. 910:Joe & Song 2002 883:Joe & Song 2002 856:Joe & Song 2002 579:encounter with the 565:employed aleatoric 432:normal distribution 113:Missa cuiusvis toni 82:Werner Meyer-Eppler 2190:Experimental music 2118:Sound installation 1965:Free improvisation 1857:Deconstructed club 1715:Experimental music 1545:Wölfflin, Heinrich 1437:Grove Music Online 1195:RelevĂ©s d'apprenti 868:Roig-FrancolĂ­ 2008 760:Farach-Colton 2005 649:Roig-FrancolĂ­ 2008 337:Intersection No. 2 317:Available forms II 242:Witold LutosĹ‚awski 220:Witold LutosĹ‚awski 149:The French artist 136:Franz Joseph Haydn 34: 2167: 2166: 2103:Progressive music 2083:Data sonification 2008: 2007: 1867:Experimental rock 1825:Avant-garde metal 1575:978-0-253-32378-1 1335:The Musical Times 1211:Herbert Weinstock 1113:978-0-7390-7157-1 625:Meyer-Eppler 1957 511:series including 379:Heinrich Wölfflin 118:Johannes Ockeghem 2202: 2185:Postmodern music 2142:Events and lists 2066:Related concepts 1990:Progressive jazz 1862:Experimental pop 1820:Avant-garde jazz 1810: 1781:Musique concrete 1764:Acousmatic music 1708: 1701: 1694: 1685: 1675: 1578: 1552: 1540: 1521: 1504: 1484: 1465: 1440: 1432:Platte, Nathan. 1428: 1410: 1390: 1373: 1348: 1339: 1328: 1319: 1305: 1286: 1283:AleaCounterpoint 1273: 1271: 1269: 1251: 1230: 1189:. 1957. "AlĂ©a". 1182: 1161: 1160: 1159: 1158: 1146: 1140: 1139: 1133: 1125: 1106:. Van Nuys, CA. 1099: 1093: 1087: 1081: 1075: 1069: 1063: 1057: 1056: 1054: 1052: 1009: 1003: 997: 991: 990: 988: 986: 943: 937: 931: 925: 919: 913: 907: 898: 892: 886: 880: 871: 865: 859: 853: 847: 841: 835: 829: 823: 817: 811: 805: 799: 793: 787: 781: 775: 769: 763: 757: 751: 745: 734: 728: 722: 716: 710: 709: 707: 705: 691: 685: 684: 682: 680: 670: 664: 658: 652: 646: 640: 634: 628: 622: 607:Generative music 513:Morsima-Amorsima 402:stochastic music 398:Stochastic music 392:Stochastic music 286:Music of Changes 275:graphic notation 244:(beginning with 176:Music of Changes 106:Early precedents 2212: 2211: 2205: 2204: 2203: 2201: 2200: 2199: 2170: 2169: 2168: 2163: 2137: 2123:Sound sculpture 2061: 2042:Prepared guitar 2027:Circuit bending 2004: 1923: 1806: 1804: 1797: 1759:Electroacoustic 1730: 1727:classical music 1726: 1717: 1712: 1673: 1655: 1586: 1584:Further reading 1581: 1564: 1543: 1524: 1507: 1487: 1468: 1443: 1431: 1413: 1393: 1376: 1351: 1342: 1331: 1322: 1310:Hovhaness, Alan 1308: 1289: 1276: 1267: 1265: 1254: 1233: 1185: 1175:Boehmer, Konrad 1173: 1164: 1156: 1154: 1148: 1147: 1143: 1126: 1114: 1101: 1100: 1096: 1088: 1084: 1076: 1072: 1064: 1060: 1050: 1048: 1011: 1010: 1006: 998: 994: 984: 982: 945: 944: 940: 932: 928: 920: 916: 908: 901: 893: 889: 881: 874: 866: 862: 854: 850: 842: 838: 830: 826: 818: 814: 806: 802: 794: 790: 782: 778: 770: 766: 758: 754: 746: 737: 729: 725: 717: 713: 703: 701: 693: 692: 688: 678: 676: 672: 671: 667: 663:, p. 9–47. 659: 655: 647: 643: 635: 631: 623: 619: 615: 593: 553:John Corigliano 529: 494:Brownian motion 394: 345: 343:Open form music 267: 234:KlavierstĂĽck XI 189: 159:Francis Picabia 155:Erratum Musical 108: 103: 30:KlavierstĂĽck XI 17: 12: 11: 5: 2210: 2209: 2206: 2198: 2197: 2192: 2187: 2182: 2172: 2171: 2165: 2164: 2162: 2161: 2156: 2151: 2145: 2143: 2139: 2138: 2136: 2135: 2130: 2125: 2120: 2115: 2110: 2105: 2100: 2095: 2090: 2085: 2080: 2075: 2069: 2067: 2063: 2062: 2060: 2059: 2054: 2049: 2047:Prepared piano 2044: 2039: 2037:Plunderphonics 2034: 2032:Frippertronics 2029: 2024: 2018: 2016: 2010: 2009: 2006: 2005: 2003: 2002: 1997: 1992: 1987: 1982: 1977: 1972: 1967: 1962: 1957: 1952: 1947: 1942: 1937: 1931: 1929: 1925: 1924: 1922: 1921: 1916: 1911: 1906: 1905: 1904: 1899: 1894: 1889: 1884: 1879: 1874: 1864: 1859: 1854: 1849: 1844: 1839: 1834: 1833: 1832: 1822: 1816: 1814: 1807: 1802: 1799: 1798: 1796: 1795: 1794: 1793: 1783: 1778: 1773: 1772: 1771: 1766: 1756: 1751: 1746: 1745: 1744: 1733: 1731: 1722: 1719: 1718: 1713: 1711: 1710: 1703: 1696: 1688: 1682: 1681: 1670: 1662: 1654: 1653:External links 1651: 1650: 1649: 1636: 1621: 1606: 1585: 1582: 1580: 1579: 1562: 1561: 1560: 1541: 1522: 1505: 1485: 1466: 1441: 1429: 1411: 1395:Maconie, Robin 1391: 1374: 1349: 1340: 1329: 1320: 1306: 1287: 1274: 1252: 1231: 1187:Boulez, Pierre 1183: 1170: 1163: 1162: 1141: 1112: 1094: 1082: 1070: 1058: 1004: 992: 938: 936:, p. 185. 926: 914: 912:, p. 269. 899: 897:, p. 108. 895:Pritchett 1993 887: 885:, p. 268. 872: 870:, p. 280. 860: 858:, p. 264. 848: 836: 824: 812: 808:Hovhaness 1958 800: 796:Hovhaness 1944 788: 776: 764: 752: 748:Griffiths 2001 735: 731:Lotringer 1998 723: 711: 686: 665: 653: 651:, p. 340. 641: 629: 616: 614: 611: 610: 609: 604: 599: 592: 589: 528: 525: 519:, and founded 474:Siegfried Palm 393: 390: 344: 341: 333:Morton Feldman 296:Iannis Xenakis 266: 263: 246:Jeux VĂ©nitiens 209:Alan Hovhaness 201:Mosaic Quartet 188: 185: 151:Marcel Duchamp 107: 104: 102: 99: 66:in which some 44:aleatory music 15: 13: 10: 9: 6: 4: 3: 2: 2208: 2207: 2196: 2193: 2191: 2188: 2186: 2183: 2181: 2178: 2177: 2175: 2160: 2157: 2155: 2152: 2150: 2147: 2146: 2144: 2140: 2134: 2131: 2129: 2126: 2124: 2121: 2119: 2116: 2114: 2113:Sound collage 2111: 2109: 2106: 2104: 2101: 2099: 2096: 2094: 2091: 2089: 2086: 2084: 2081: 2079: 2076: 2074: 2071: 2070: 2068: 2064: 2058: 2055: 2053: 2050: 2048: 2045: 2043: 2040: 2038: 2035: 2033: 2030: 2028: 2025: 2023: 2020: 2019: 2017: 2015: 2011: 2001: 1998: 1996: 1993: 1991: 1988: 1986: 1983: 1981: 1978: 1976: 1973: 1971: 1968: 1966: 1963: 1961: 1958: 1956: 1953: 1951: 1948: 1946: 1943: 1941: 1938: 1936: 1933: 1932: 1930: 1926: 1920: 1917: 1915: 1912: 1910: 1907: 1903: 1900: 1898: 1895: 1893: 1890: 1888: 1885: 1883: 1880: 1878: 1875: 1873: 1870: 1869: 1868: 1865: 1863: 1860: 1858: 1855: 1853: 1850: 1848: 1845: 1843: 1840: 1838: 1835: 1831: 1828: 1827: 1826: 1823: 1821: 1818: 1817: 1815: 1811: 1808: 1800: 1792: 1789: 1788: 1787: 1784: 1782: 1779: 1777: 1774: 1770: 1767: 1765: 1762: 1761: 1760: 1757: 1755: 1752: 1750: 1747: 1743: 1742:indeterminacy 1740: 1739: 1738: 1735: 1734: 1732: 1728: 1720: 1716: 1709: 1704: 1702: 1697: 1695: 1690: 1689: 1686: 1680: 1676: 1671: 1669: 1668: 1667:Indeterminacy 1663: 1660: 1657: 1656: 1652: 1647: 1646: 1641: 1637: 1634: 1633:0-7475-4213-9 1630: 1626: 1622: 1619: 1618:3-929115-90-5 1615: 1611: 1607: 1604: 1603:1-59593-564-9 1600: 1596: 1592: 1588: 1587: 1583: 1576: 1572: 1568: 1563: 1558: 1554: 1553: 1550: 1546: 1542: 1538: 1534: 1533:Stanley Sadie 1530: 1529: 1523: 1519: 1518:0-07-293624-X 1515: 1511: 1506: 1502: 1501:0-674-00978-9 1498: 1494: 1490: 1486: 1482: 1478: 1477:Stanley Sadie 1474: 1473: 1467: 1463: 1462:0-521-56544-8 1459: 1455: 1454:0-521-41621-3 1451: 1447: 1442: 1438: 1435: 1434:"Snow, Mark". 1430: 1426: 1422: 1421: 1416: 1412: 1408: 1407:0-8108-5356-6 1404: 1400: 1396: 1392: 1388: 1387:3-89322-443-2 1384: 1380: 1375: 1371: 1370:0-415-94136-9 1367: 1363: 1362:0-415-94135-0 1359: 1355: 1350: 1346: 1341: 1337: 1336: 1330: 1326: 1321: 1317: 1316: 1311: 1307: 1303: 1299: 1298:Stanley Sadie 1295: 1294: 1288: 1284: 1280: 1275: 1264: 1263: 1258: 1253: 1249: 1248:Makis Solomos 1245: 1241: 1239: 1232: 1228: 1227:0-19-311210-8 1224: 1220: 1219:Stephen Walsh 1216: 1212: 1208: 1204: 1203:2-02-001930-2 1200: 1196: 1192: 1188: 1184: 1180: 1176: 1172: 1171: 1169: 1168: 1153: 1152: 1145: 1142: 1137: 1131: 1123: 1119: 1115: 1109: 1105: 1098: 1095: 1091: 1086: 1083: 1079: 1074: 1071: 1067: 1062: 1059: 1047: 1043: 1039: 1035: 1031: 1027: 1023: 1019: 1015: 1008: 1005: 1001: 996: 993: 981: 977: 973: 969: 965: 961: 957: 953: 949: 942: 939: 935: 930: 927: 923: 922:Wölfflin 1915 918: 915: 911: 906: 904: 900: 896: 891: 888: 884: 879: 877: 873: 869: 864: 861: 857: 852: 849: 845: 840: 837: 834:, p. 72. 833: 828: 825: 821: 816: 813: 809: 804: 801: 797: 792: 789: 785: 780: 777: 773: 768: 765: 761: 756: 753: 749: 744: 742: 740: 736: 732: 727: 724: 721:, p. 17. 720: 715: 712: 700: 696: 690: 687: 675: 669: 666: 662: 657: 654: 650: 645: 642: 638: 633: 630: 627:, p. 55. 626: 621: 618: 612: 608: 605: 603: 600: 598: 595: 594: 590: 588: 586: 582: 578: 574: 573: 568: 564: 560: 558: 554: 550: 549: 544: 540: 539: 534: 533:John Williams 526: 524: 522: 518: 514: 510: 506: 501: 499: 495: 491: 490: 485: 484: 479: 475: 471: 470: 465: 461: 457: 453: 449: 445: 444:Markov chains 441: 437: 433: 429: 425: 421: 420: 415: 411: 407: 403: 399: 391: 389: 387: 386: 380: 375: 373: 372:Interpolation 369: 365: 361: 357: 353: 352:musical forms 349: 342: 340: 338: 334: 330: 329:December 1952 326: 325:graphic score 320: 318: 314: 310: 305: 303: 302: 297: 293: 292: 287: 283: 278: 276: 272: 264: 262: 260: 256: 255: 249: 247: 243: 239: 235: 230: 228: 227:Pierre Boulez 223: 221: 216: 215: 210: 206: 202: 198: 194: 186: 184: 182: 181:indeterminacy 178: 177: 172: 168: 164: 160: 156: 152: 147: 145: 141: 137: 133: 129: 125: 124: 119: 115: 114: 105: 100: 98: 96: 92: 87: 83: 80: 75: 73: 69: 65: 61: 57: 53: 49: 45: 41: 38: 31: 28:lecturing on 27: 23: 19: 2195:Music theory 1805:music genres 1736: 1725:contemporary 1666: 1665:John Cage's 1643: 1624: 1609: 1594: 1566: 1556: 1548: 1537:John Tyrrell 1526: 1509: 1492: 1481:John Tyrrell 1470: 1445: 1424: 1418: 1398: 1378: 1353: 1345:Muzikologija 1344: 1333: 1324: 1313: 1302:John Tyrrell 1291: 1282: 1266:. Retrieved 1260: 1243: 1237: 1214: 1206: 1194: 1190: 1178: 1166: 1165: 1155:, retrieved 1150: 1144: 1103: 1097: 1085: 1073: 1066:Xenakis 1971 1061: 1049:. Retrieved 1021: 1017: 1007: 995: 983:. Retrieved 955: 951: 941: 934:Maconie 2005 929: 917: 890: 863: 851: 839: 832:Boehmer 1967 827: 815: 810:, p. 2. 803: 798:, p. 3. 791: 779: 767: 755: 726: 714: 702:. Retrieved 698: 689: 677:. Retrieved 668: 661:Boehmer 1967 656: 644: 632: 620: 597:Aleatoricism 577:Fellowship's 570: 563:Howard Shore 561: 556: 546: 536: 530: 516: 512: 508: 502: 497: 487: 481: 467: 464:group theory 459: 455: 447: 439: 435: 427: 419:Diamorphoses 417: 409: 408:of gases in 401: 395: 383: 376: 371: 346: 336: 328: 321: 316: 306: 299: 289: 285: 279: 268: 258: 252: 250: 245: 231: 224: 212: 204: 200: 197:Henry Cowell 193:Charles Ives 190: 187:Modern usage 174: 167:Salle Gaveau 154: 148: 121: 111: 109: 94: 90: 76: 55: 48:chance music 47: 43: 39: 36: 35: 18: 2057:Turntablism 2000:Witch house 1960:Drone metal 1749:Avant-garde 1090:Platte 2014 820:Boulez 1957 784:Fisher 2010 733:, p. . 719:Randel 2002 637:Jacobs 1966 575:during the 567:composition 557:The X-Files 469:Nomos Alpha 452:game theory 448:Analogiques 428:Achorripsis 424:constraints 410:Pithoprakta 313:Earle Brown 301:Pithoprakta 277:and texts. 126:or musical 95:aleatorisch 93:(noun) and 79:acoustician 70:is left to 58:, meaning " 50:; from the 2174:Categories 2128:Soundscape 2052:Scordatura 2022:3rd bridge 1985:Industrial 1950:Avant-funk 1892:noise rock 1847:Avant-punk 1842:Avant-prog 1830:Post-metal 1769:Tape music 1347:2:263–281. 1262:Gramophone 1157:2022-01-18 704:26 January 679:26 January 613:References 527:Film music 478:set theory 422:, minimal 236:(1956) by 205:ad libitum 2108:Sound art 1995:Punk jazz 1970:Free jazz 1902:post-rock 1897:post-punk 1877:math rock 1872:krautrock 1837:Avant-pop 1737:Aleatoric 1645:NPR Music 1456:(cloth); 1425:Die Reihe 1420:Die Reihe 1364:(cloth); 1315:Lousadzak 1130:cite book 1122:657600945 958:: 77–84. 543:Mark Snow 505:computers 460:StratĂ©gie 364:performer 356:movements 348:Open form 282:John Cage 214:Lousadzak 171:John Cage 91:Aleatorik 37:Aleatoric 2073:Cymatics 1980:Hyperpop 1945:Art rock 1940:Art punk 1882:neo-prog 1852:Biomusic 1813:By style 1723:Related 1547:. 1915. 1491:. 2002. 1397:. 2005. 1312:. 1944. 1177:. 1967. 1046:57561840 1038:40926355 980:57561840 972:40926355 844:Rae 2001 591:See also 388:(1959). 374:(1958). 360:sections 144:measures 1955:Ambient 1935:Art pop 1928:Related 1914:Neofolk 1887:no wave 1776:Minimal 1679:YouTube 1268:June 4, 1167:Sources 498:N'Shima 291:I Ching 101:History 84:at the 2098:Fluxus 1975:Glitch 1791:Danger 1729:genres 1631:  1616:  1601:  1593:." In 1573:  1516:  1499:  1464:(pbk). 1460:  1452:  1405:  1385:  1372:(pbk). 1368:  1360:  1225:  1201:  1120:  1110:  1051:7 July 1044:  1036:  1024:: 79. 985:7 July 978:  970:  538:Images 521:CEMAMu 517:AtrĂ©es 492:, and 440:AtrĂ©es 430:, the 385:Zyklus 254:HPSCHD 138:, and 72:chance 62:") is 42:(also 1786:Noise 1754:Drone 1242:. In 1238:EONTA 1042:S2CID 1034:JSTOR 976:S2CID 968:JSTOR 585:Moria 489:Eonta 483:Herma 472:(for 436:ST/10 64:music 54:word 52:Latin 40:music 2078:Dada 1919:Wave 1629:ISBN 1614:ISBN 1599:ISBN 1571:ISBN 1535:and 1514:ISBN 1497:ISBN 1479:and 1458:ISBN 1450:ISBN 1403:ISBN 1383:ISBN 1366:ISBN 1358:ISBN 1300:and 1270:2015 1223:ISBN 1199:ISBN 1136:link 1118:OCLC 1108:ISBN 1053:2022 987:2022 706:2022 681:2022 515:and 486:and 458:and 456:Duel 438:and 161:and 128:dice 60:dice 56:alea 1677:on 1642:", 1281:". 1026:doi 960:doi 569:in 551:), 496:in 480:in 476:), 466:in 454:in 446:in 434:in 426:in 358:or 335:'s 315:'s 284:'s 173:'s 116:of 46:or 2176:: 1495:. 1259:. 1132:}} 1128:{{ 1116:. 1040:. 1032:. 1022:19 1020:. 1016:. 974:. 966:. 956:19 954:. 950:. 902:^ 875:^ 738:^ 697:. 587:. 523:. 509:ST 500:. 462:, 450:, 442:, 412:, 366:. 134:, 1707:e 1700:t 1693:v 1635:. 1620:. 1605:. 1577:. 1520:. 1503:. 1409:. 1389:. 1272:. 1240:" 1229:. 1138:) 1124:. 1092:. 1068:. 1055:. 1028:: 1002:. 989:. 962:: 924:. 846:. 822:. 786:. 774:. 762:. 750:. 708:. 683:. 639:. 545:(

Index


Karlheinz Stockhausen
KlavierstĂĽck XI
Latin
dice
music
element of the composition
chance
acoustician
Werner Meyer-Eppler
Darmstadt International Summer Courses for New Music
Missa cuiusvis toni
Johannes Ockeghem
Musikalisches WĂĽrfelspiel
dice
Carl Phillip Emanuel Bach
Franz Joseph Haydn
Wolfgang Amadeus Mozart
measures
Marcel Duchamp
Francis Picabia
Georges Ribemont-Dessaignes
Salle Gaveau
John Cage
Music of Changes
indeterminacy
Charles Ives
Henry Cowell
Alan Hovhaness
Lousadzak

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

↑