2518:
3986:
2498:
the 11th are matched very closely in 72-ET; no intervals formed as the difference of any two of these intervals are tempered out by this tuning system. Thus, 72-ET can be seen as offering an almost perfect approximation to 7-, 9-, and 11-limit music. When it comes to the higher harmonics, a number of intervals are still matched quite well, but some are tempered out. For instance, the comma 169:168 is tempered out, but other intervals involving the 13-th harmonic are distinguished.
2931:
455:
374:
2926:
510:
444:
418:
382:
4344:
463:
405:
334:
503:
476:
342:
555:
2497:
is off by about half of a step. This suggests that if each step of 12-ET were divided in six, the fifth, seventh, and eleventh harmonics would now be well-approximated, while 12-ET's excellent approximation of the third harmonic would be retained. Indeed, all intervals involving harmonics up through
116:). Since 72 is divisible by 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72, 72-EDO includes all those equal temperaments. Since it contains so many temperaments, 72-EDO contains at the same time tempered semitones, third-tones, quartertones and sixth-tones, which makes it a very versatile temperament.
176:
intervals (see above), as is the 12 tone equal temperament mostly commonly used in
Western music (and which is contained as a subset within 72 equal temperament), 72 equal temperament, as a much finer division of the octave, is an excellent tuning for both representing the division of the octave
2585:
A. Hába: "Harmonické základy ctvrttónové soustavy". German translation: "Neue
Harmonielehre des diatonischen, chromatischen Viertel-, Drittel-, Sechstel- und Zwölftel-tonsystems" by the author. Fr. Kistner & C.F.W. Siegel, Leipzig, 1927. Universal, Wien, 1978. Revised by Erich Steinhard,
2537:
1942:
2006:
1837:
2205:
2653:
G. Chryssochoidis, D. Delviniotis and G. Kouroupetroglou, "A semi-automated tagging methodology for
Orthodox Ecclesiastic Chant Acoustic corpora", Proceedings SMC'07, 4th Sound and Music Computing Conference, Lefkada, Greece (11–13 July
2054:
889:
2254:
762:
2084:
1508:
1048:
2331:
2283:
1649:
1161:
983:
4312:
2437:
1556:
1112:
824:
2450:
2157:
2130:
937:
1593:
1029:
679:
1818:
1769:
1676:
1630:
1537:
1489:
1408:
1371:
1288:
1239:
1142:
1093:
964:
870:
843:
789:
743:
2235:
2186:
2035:
1969:
1923:
1427:
1258:
1210:
2409:
2379:
2360:
108:
2463:
1886:
1867:
918:
1344:
1325:
660:
2312:
2111:
1717:
54:
2525:
2489:(third harmonic), especially for such a small number of steps per octave, but compared to the equally-tempered versions in 12-ET, the just major third (fifth harmonic) is off by about a sixth of a step, the
1454:
1191:
1788:
1736:
706:
3268:
562:
Below are the sizes of some intervals (common and esoteric) in this tuning. For reference, differences of less than 5 cents are melodically imperceptible to most people.
2478:
can be viewed as a subset of 72-ET, the closest matches to most commonly used intervals under 72-ET are distinct from the closest matches under 12-ET. For example, the
2482:
of 12-ET, which is sharp, exists as the 24-step interval within 72-ET, but the 23-step interval is a much closer match to the 5:4 ratio of the just major third.
3396:
3254:
2752:
3840:
3328:
3461:
3241:
2639:
2620:
197:
A number of composers have made use of it, and these represent widely different points of view and types of musical practice. These include
2552:
Because 72-EDO contains 12-EDO, the scale of 12-EDO is in 72-EDO. However, the true scale can be approximated better by other intervals.
3471:
2855:
401:
They may be combined with the traditional sharp and flat symbols (6 steps = 100 cents) by being placed before them, for example:
119:
This division of the octave has attracted much attention from tuning theorists, since on the one hand it subdivides the standard
3434:
3131:
2745:
2705:
3833:
3619:
4324:
3321:
43:
2509:, 72-ET contains many intervals which do not closely match any small-number (<16) harmonics in the harmonic series.
4368:
3858:
3557:
3236:
2586:"Grundfragen der mikrotonalen Musik"; Bd. 3, Musikedition Nymphenburg 2001, Filmkunst-Musikverlag, München, 251 pages.
2172:
50:
scale derived by dividing the octave into twelfth-tones, or in other words 72 equal steps (equal frequency ratios).
3401:
3261:
3004:
2880:
2775:
2517:
2021:
123:
and on the other hand it accurately represents overtones up to the twelfth partial tone, and hence can be used for
28:
4122:
3386:
3213:
3201:
2738:
241:
221:
189:
between notes, and for representing with great accuracy many rational intervals as well as irrational intervals.
4373:
4347:
3962:
3826:
3670:
2905:
3806:
3034:
2615:(Manuscript, 1953), Ed. Contrechamps, Geneva, 1996. Preface by Pascale Criton, edited by Franck Jedrzejewski.
4235:
3912:
3640:
3466:
3391:
3314:
3163:
2845:
3424:
4378:
4276:
4149:
4144:
3902:
3662:
3625:
3615:
2860:
2545:
269:
4307:
4297:
4256:
3932:
3658:
2980:
2810:
2298:
387:
273:
3937:
257:
4271:
3985:
3917:
3897:
3872:
3666:
3611:
3593:
3583:
3578:
3573:
3568:
3563:
3548:
3543:
3538:
3533:
3528:
3523:
3290:
3113:
3103:
3098:
3093:
3088:
3083:
3073:
3068:
3063:
3058:
3053:
2785:
2506:
2502:
1523:
1079:
144:
3952:
4052:
4031:
3892:
3630:
3603:
3501:
3285:
3230:
2930:
2910:
2561:
2269:
1616:
229:
202:
132:
47:
217:
4292:
4266:
4261:
4220:
3975:
3695:
3481:
3476:
3207:
2925:
2835:
2651:
296:
3700:
2795:
140:
4318:
4154:
4074:
4026:
4005:
3968:
3674:
3635:
3510:
3449:
3295:
3178:
3045:
2825:
2815:
2780:
2635:
2616:
2566:
2494:
2475:
173:
120:
4010:
3942:
3887:
3882:
3654:
3518:
3486:
3406:
3371:
3183:
3136:
2985:
2895:
2850:
2820:
2761:
2490:
729:
620:
249:
245:
4302:
4215:
4000:
3927:
3922:
3877:
3849:
3776:
3416:
3123:
2865:
2346:
280:
265:
253:
240:. There was also an active Soviet school of 72 equal composers, with less familiar names:
182:
161:
454:
373:
232:, and still others simply because it approximates higher-limit just intonation, such as
4182:
4062:
3454:
3429:
3376:
3337:
3247:
2960:
2915:
2805:
1853:
1804:
904:
225:
206:
178:
509:
443:
417:
381:
4362:
4230:
4225:
4199:
3947:
3749:
3718:
3491:
3444:
3351:
3158:
2900:
2875:
2830:
2486:
2395:
1311:
1274:
646:
261:
198:
128:
124:
4240:
4166:
4159:
3713:
3553:
3356:
3078:
2975:
2970:
2965:
2950:
2945:
2840:
2800:
2790:
237:
83:
2709:
2634:(Manuscript, 1936), Ed. L'Harmattan, Paris, 2005, edited by Franck Jedrzejewski.
4187:
3957:
3801:
3796:
3786:
3381:
3361:
3029:
3024:
3014:
2955:
2479:
1394:
1225:
1177:
1128:
1015:
169:
4057:
3791:
3760:
3019:
2870:
1755:
1751:
1703:
1699:
462:
404:
333:
213:
17:
4132:
4096:
4091:
4079:
4047:
3781:
3735:
3173:
2890:
233:
172:, who used something similar. Although the 72 equal temperament is based on
502:
475:
341:
2693:
212:
Many other composers use it freely and intuitively, such as jazz musician
4313:
Museum of
Ancient Greek, Byzantine and Post-Byzantine Musical Instruments
4194:
4084:
4067:
3168:
2221:
2070:
87:
4112:
3755:
3705:
2673:
2667:
4137:
3907:
3723:
3439:
3366:
2885:
594:
2725:
2730:
4127:
3818:
3740:
3728:
3306:
553:
186:
139:
of sound. 72-EDO is also cited among the divisions of the tone by
147:
as an approximation to continuous sound in discontinuous scales.
3745:
554:
3822:
3310:
2734:
168:, which itself derives from interpretations of the theories of
27:"Third tone" redirects here. For the Chinese third tone, see
2687:
1919:
1916:
1913:
2603:
no. 290–291, pp. 71–141, Ed. Richard-Masse, Paris, 1972
127:. It was theoreticized in the form of twelfth-tones by
228:
are interested in it because it supports the use of
4285:
4249:
4208:
4175:
4105:
4040:
4019:
3993:
3865:
3769:
3686:
3649:
3602:
3509:
3500:
3415:
3344:
3278:
3269:
Twelve
Microtonal Etudes for Electronic Music Media
3222:
3192:
3149:
3122:
3044:
3003:
2994:
2938:
2768:
2708:. Ekmelic Music. September 27, 2017. Archived from
2597:"L'ultrachromatisme et les espaces non octaviants"
2015:
2002:
1999:
1996:
1983:
1951:
1938:
1935:
1932:
1900:
1517:
1504:
1501:
1498:
1485:
1482:
1479:
1476:
1305:
1303:
1300:
1297:
1284:
1281:
1278:
1272:
135:, who considered it as a good approach to the
3834:
3322:
2746:
216:, and classically oriented composers such as
8:
3397:List of intervals in 5-limit just intonation
2722:—symbols for Maneri-Sims notation and others
2632:Une philosophie dialectique de l'art musical
2485:12-ET has a very good approximation for the
2668:The Boston Microtonal Society official site
2493:is off by about a third of a step, and the
3841:
3827:
3819:
3506:
3329:
3315:
3307:
3000:
2753:
2739:
2731:
2674:"Wyschnegradsky notation for twelfth-tone"
564:
164:theory, dividing the octave into 72 equal
62:Each step represents a frequency ratio of
2516:
2231:
2228:
2225:
2107:
2104:
2101:
2031:
2028:
2025:
1025:
1022:
1019:
960:
957:
954:
2578:
427:, but without the intervening space. A
185:genera in which intervals are based on
29:Standard Chinese phonology § Tones
2726:Byzantine Music Electroacoustic Music
2465:contrast with diatonic scale in 12-et
558:Just intervals approximated in 72-TET
7:
224:. Others, such as New York composer
160:The 72 equal temperament is used in
2548:notated with the Maneri-Sims system
295:system designed for 72-et uses the
104:= 6) and is thus a "twelfth-tone" (
398:up and down (3 steps = 50 cents).
25:
2452:contrast with just diatonic scale
437:tone may be one of the following
4343:
4342:
3984:
3472:Ptolemy's intense diatonic scale
2929:
2924:
508:
501:
474:
461:
453:
442:
416:
403:
380:
372:
340:
332:
2099:greater septendecimal semitone
1359:septendecimal supraminor third
1063:septendecimal supermajor third
220:and others associated with the
2145:lesser septendecimal semitone
86:, which divides the 100 cent "
1:
4325:School of Ecclesiastic Music
3435:Harry Partch's 43-tone scale
3132:Harry Partch's 43-tone scale
2439:play diatonic scale in 72-et
2426:
2424:
2421:
2418:
2405:
2402:
2399:
2393:
2388:
2375:
2372:
2369:
2356:
2353:
2350:
2345:
2340:
2327:
2324:
2321:
2308:
2305:
2302:
2297:
2292:
2279:
2276:
2273:
2268:
2263:
2250:
2247:
2244:
2219:
2214:
2201:
2198:
2195:
2182:
2179:
2176:
2171:
2166:
2153:
2150:
2147:
2144:
2139:
2126:
2123:
2120:
2098:
2093:
2080:
2077:
2074:
2068:
2063:
2050:
2047:
2044:
2020:
1978:
1965:
1962:
1959:
1956:
1895:
1882:
1879:
1876:
1863:
1860:
1857:
1851:
1846:
1833:
1830:
1827:
1814:
1811:
1808:
1802:
1797:
1784:
1781:
1778:
1765:
1762:
1759:
1750:
1745:
1732:
1729:
1726:
1713:
1710:
1707:
1698:
1693:
1691:
1688:
1685:
1672:
1669:
1666:
1663:
1658:
1645:
1642:
1639:
1626:
1623:
1620:
1615:
1610:
1608:
1605:
1602:
1589:
1586:
1583:
1570:
1565:
1552:
1549:
1546:
1533:
1530:
1527:
1522:
1471:
1469:
1466:
1463:
1450:
1447:
1444:
1441:
1436:
1423:
1420:
1417:
1404:
1401:
1398:
1393:
1388:
1386:
1383:
1380:
1367:
1364:
1361:
1358:
1353:
1340:
1337:
1334:
1321:
1318:
1315:
1310:
1267:
1254:
1251:
1248:
1235:
1232:
1229:
1224:
1219:
1206:
1203:
1200:
1187:
1184:
1181:
1175:
1170:
1157:
1154:
1151:
1138:
1135:
1132:
1126:
1121:
1108:
1105:
1102:
1089:
1086:
1083:
1078:
1073:
1071:
1068:
1065:
1062:
1057:
1044:
1041:
1038:
1013:
1008:
1006:
1003:
1000:
997:
992:
979:
976:
973:
951:
946:
933:
930:
927:
914:
911:
908:
903:
898:
885:
882:
879:
866:
863:
860:
857:
852:
839:
836:
833:
820:
817:
814:
811:
806:
804:
801:
798:
785:
782:
779:
776:
771:
758:
755:
752:
739:
736:
733:
728:
723:
721:
718:
715:
702:
699:
696:
693:
688:
675:
672:
669:
656:
653:
650:
645:
640:
638:
635:
632:
630:
627:
624:
619:
614:
612:
609:
606:
604:
601:
598:
593:
588:
585:
582:
579:
576:
573:
570:
567:
316:-tone down and up (1 step =
90:" into 6 equal parts (100 ÷
3255:Sonata for Microtonal Piano
2173:septimal chromatic semitone
1442:quasi-tempered minor third
283:uses 72 equal temperament.
242:Evgeny Alexandrovich Murzin
4395:
3402:List of meantone intervals
3262:Suite for Microtonal Piano
2022:septimal diatonic semitone
26:
4333:
4123:Byzantine Musical Symbols
3982:
3856:
3392:List of musical intervals
3387:Consonance and dissonance
3214:Huygens-Fokker Foundation
3202:Boston Microtonal Society
2922:
1664:septendecimal whole tone
858:(15:11) augmented fourth
222:Boston Microtonal Society
2613:La Loi de la Pansonorité
3913:Joseph the Hymnographer
3164:Otonality and Utonality
2546:regular diatonic scales
2501:Unlike tunings such as
1477:tridecimal minor third
952:septimal narrow fourth
499:) while 5 steps may be
356:down and up (2 steps =
4277:Thrasyvoulos Stanitsas
4150:Hagiopolitan Octoechos
4145:Neobyzantine Octoechos
3903:Theophanes the Branded
2861:Claus-Steffen Mahnkopf
2549:
694:septendecimal tritone
559:
4308:Monastery of Stoudios
4257:Greek Byzantine Choir
3659:Temperament ordinaire
3037:(Bohlen–Pierce scale)
2981:Tui St. George Tucker
2520:
2299:septimal quarter tone
557:
193:Other history and use
4337:*also music theorist
4272:Konstantinos Pringos
4118:72 equal temperament
3918:Joseph the Confessor
3898:Theodore the Studite
3873:Romanos the Melodist
3462:List of compositions
3291:Generalized keyboard
2786:Easley Blackwood Jr.
2698:The Xenharmonic wiki
1524:septimal minor third
1080:septimal major third
998:17:13 narrow fourth
293:Maneri-Sims notation
143:, who preferred the
121:12 equal temperament
36:72 equal temperament
3893:Stephen the Sabaite
3286:Enharmonic keyboard
3237:quarter tone pieces
3231:Beauty in the Beast
2911:Ivan Wyschnegradsky
2595:I. Wyschnegradsky:
2562:Musical temperament
2270:septimal third-tone
1901:greater tridecimal
1617:septimal whole tone
777:tridecimal tritone
270:Pyotr Meshchianinov
230:miracle temperament
203:Ivan Wyschnegradsky
201:, Julián Carrillo,
133:Ivan Wyschnegradsky
46:, or 72-ET, is the
4369:Equal temperaments
4267:Iakovos Nafpliotis
4262:Nikodimos Kabarnos
4221:Solon Hadjisolomos
3976:Janus Plousiadenos
3933:Nikephoros Ethikos
3696:Chinese musicology
3482:Scale of harmonics
3477:Pythagorean tuning
3425:Euler–Fokker genus
3208:Genesis of a Music
2836:Christiaan Huygens
2712:on October 4, 2017
2550:
1984:lesser tridecimal
1803:greater undecimal
560:
4356:
4355:
4319:Only-begotten Son
4236:Miloš Velimirović
4155:Papadic Octoechos
4027:Paschal troparion
4006:George Pachymeres
3969:Manuel Chrysaphes
3859:List of composers
3816:
3815:
3682:
3681:
3304:
3303:
3296:Modernism (music)
3145:
3144:
3046:Equal temperament
2816:Brian Ferneyhough
2694:Sagittal notation
2640:978-2-7475-8578-1
2621:978-2-940068-09-8
2601:La Revue Musicale
2567:Equal temperament
2495:eleventh harmonic
2431:
2430:
1852:lesser undecimal
274:Stanislav Kreichi
177:according to the
16:(Redirected from
4386:
4346:
4345:
4011:Manuel Bryennios
3988:
3972:
3943:John Koukouzelis
3938:Gregorios Glykys
3888:Cosmas of Maiuma
3883:John of Damascus
3843:
3836:
3829:
3820:
3655:Well temperament
3641:Regular diatonic
3507:
3487:Tonality diamond
3331:
3324:
3317:
3308:
3184:Tonality diamond
3007:repeating scales
3001:
2986:Nicola Vicentino
2933:
2928:
2896:Nicola Vicentino
2821:Michael Finnissy
2762:Microtonal music
2755:
2748:
2741:
2732:
2721:
2719:
2717:
2684:
2682:
2680:
2655:
2649:
2643:
2629:
2623:
2610:
2604:
2593:
2587:
2583:
2544:
2543:
2542:
2540:
2532:
2531:
2530:
2528:
2491:seventh harmonic
2470:
2469:
2468:
2466:
2457:
2456:
2455:
2453:
2444:
2443:
2442:
2440:
2416:
2415:
2414:
2412:
2386:
2385:
2384:
2382:
2367:
2366:
2365:
2363:
2338:
2337:
2336:
2334:
2319:
2318:
2317:
2315:
2290:
2289:
2288:
2286:
2261:
2260:
2259:
2257:
2242:
2241:
2240:
2238:
2212:
2211:
2210:
2208:
2193:
2192:
2191:
2189:
2164:
2163:
2162:
2160:
2137:
2136:
2135:
2133:
2118:
2117:
2116:
2114:
2091:
2090:
2089:
2087:
2061:
2060:
2059:
2057:
2042:
2041:
2040:
2038:
2013:
2012:
2011:
2009:
1993:
1992:
1988:
1976:
1975:
1974:
1972:
1949:
1948:
1947:
1945:
1930:
1929:
1928:
1926:
1910:
1909:
1905:
1893:
1892:
1891:
1889:
1874:
1873:
1872:
1870:
1844:
1843:
1842:
1840:
1825:
1824:
1823:
1821:
1795:
1794:
1793:
1791:
1776:
1775:
1774:
1772:
1743:
1742:
1741:
1739:
1724:
1723:
1722:
1720:
1683:
1682:
1681:
1679:
1656:
1655:
1654:
1652:
1637:
1636:
1635:
1633:
1600:
1599:
1598:
1596:
1580:
1579:
1575:
1563:
1562:
1561:
1559:
1544:
1543:
1542:
1540:
1515:
1514:
1513:
1511:
1496:
1495:
1494:
1492:
1461:
1460:
1459:
1457:
1434:
1433:
1432:
1430:
1415:
1414:
1413:
1411:
1378:
1377:
1376:
1374:
1351:
1350:
1349:
1347:
1332:
1331:
1330:
1328:
1295:
1294:
1293:
1291:
1265:
1264:
1263:
1261:
1246:
1245:
1244:
1242:
1217:
1216:
1215:
1213:
1198:
1197:
1196:
1194:
1168:
1167:
1166:
1164:
1149:
1148:
1147:
1145:
1119:
1118:
1117:
1115:
1100:
1099:
1098:
1096:
1055:
1054:
1053:
1051:
1036:
1035:
1034:
1032:
990:
989:
988:
986:
971:
970:
969:
967:
944:
943:
942:
940:
925:
924:
923:
921:
896:
895:
894:
892:
877:
876:
875:
873:
850:
849:
848:
846:
831:
830:
829:
827:
796:
795:
794:
792:
769:
768:
767:
765:
750:
749:
748:
746:
730:septimal tritone
713:
712:
711:
709:
686:
685:
684:
682:
667:
666:
665:
663:
621:harmonic seventh
565:
545:
544:
540:
537:
531:
530:
526:
522:
521:
517:
513:
512:
506:
505:
498:
497:
493:
490:
484:
483:
479:
478:
471:
470:
466:
465:
458:
457:
451:
447:
446:
440:
436:
435:
431:
426:
425:
421:
420:
413:
412:
408:
407:
396:
395:
391:
385:
384:
377:
376:
369:
368:
364:
361:
355:
354:
350:
345:
344:
337:
336:
329:
328:
324:
321:
315:
314:
310:
305:
301:
258:Alexander Nemtin
250:Nikolai Nikolsky
246:Andrei Volkonsky
115:
114:
113:
111:
103:
102:
98:
95:
82:
81:
77:
74:
68:
67:
61:
60:
59:
57:
21:
4394:
4393:
4389:
4388:
4387:
4385:
4384:
4383:
4374:Byzantine music
4359:
4358:
4357:
4352:
4329:
4303:Cappella Romana
4281:
4245:
4216:Enrica Follieri
4204:
4171:
4101:
4036:
4015:
4001:Michael Psellos
3989:
3980:
3967:
3928:Constantine VII
3923:Leo VI the Wise
3878:Andrew of Crete
3861:
3852:
3850:Byzantine music
3847:
3817:
3812:
3809:(Bohlen–Pierce)
3777:833 cents scale
3765:
3688:
3678:
3645:
3598:
3496:
3417:Just intonation
3411:
3340:
3338:Musical tunings
3335:
3305:
3300:
3274:
3218:
3194:
3188:
3151:
3141:
3137:Double diatonic
3124:Just intonation
3118:
3040:
3006:
2996:
2990:
2934:
2920:
2866:Joel Mandelbaum
2796:Julián Carrillo
2776:Richard Barrett
2764:
2759:
2715:
2713:
2704:
2678:
2676:
2672:
2664:
2659:
2658:
2650:
2646:
2630:
2626:
2611:
2607:
2594:
2590:
2584:
2580:
2575:
2558:
2538:
2536:
2535:
2534:
2526:
2524:
2523:
2522:
2515:
2464:
2462:
2461:
2460:
2451:
2449:
2448:
2447:
2438:
2436:
2435:
2434:
2410:
2408:
2407:
2406:
2380:
2378:
2377:
2376:
2361:
2359:
2358:
2357:
2347:septimal diesis
2332:
2330:
2329:
2328:
2313:
2311:
2310:
2309:
2284:
2282:
2281:
2280:
2255:
2253:
2252:
2251:
2236:
2234:
2233:
2232:
2206:
2204:
2203:
2202:
2187:
2185:
2184:
2183:
2158:
2156:
2155:
2154:
2131:
2129:
2128:
2127:
2112:
2110:
2109:
2108:
2085:
2083:
2082:
2081:
2055:
2053:
2052:
2051:
2036:
2034:
2033:
2032:
2007:
2005:
2004:
2003:
1990:
1986:
1985:
1970:
1968:
1967:
1966:
1943:
1941:
1940:
1939:
1924:
1922:
1921:
1920:
1907:
1903:
1902:
1887:
1885:
1884:
1883:
1868:
1866:
1865:
1864:
1838:
1836:
1835:
1834:
1819:
1817:
1816:
1815:
1789:
1787:
1786:
1785:
1770:
1768:
1767:
1766:
1737:
1735:
1734:
1733:
1718:
1716:
1715:
1714:
1677:
1675:
1674:
1673:
1650:
1648:
1647:
1646:
1631:
1629:
1628:
1627:
1594:
1592:
1591:
1590:
1577:
1573:
1572:
1557:
1555:
1554:
1553:
1538:
1536:
1535:
1534:
1509:
1507:
1506:
1505:
1490:
1488:
1487:
1486:
1455:
1453:
1452:
1451:
1428:
1426:
1425:
1424:
1409:
1407:
1406:
1405:
1372:
1370:
1369:
1368:
1345:
1343:
1342:
1341:
1326:
1324:
1323:
1322:
1289:
1287:
1286:
1285:
1259:
1257:
1256:
1255:
1240:
1238:
1237:
1236:
1211:
1209:
1208:
1207:
1192:
1190:
1189:
1188:
1176:quasi-tempered
1162:
1160:
1159:
1158:
1143:
1141:
1140:
1139:
1113:
1111:
1110:
1109:
1094:
1092:
1091:
1090:
1049:
1047:
1046:
1045:
1030:
1028:
1027:
1026:
984:
982:
981:
980:
965:
963:
962:
961:
938:
936:
935:
934:
919:
917:
916:
915:
890:
888:
887:
886:
871:
869:
868:
867:
844:
842:
841:
840:
825:
823:
822:
821:
790:
788:
787:
786:
763:
761:
760:
759:
744:
742:
741:
740:
707:
705:
704:
703:
680:
678:
677:
676:
661:
659:
658:
657:
552:
542:
538:
535:
533:
528:
527:
524:
519:
518:
515:
507:
500:
495:
491:
488:
486:
481:
480:
473:
468:
467:
460:
452:
449:
441:
438:
433:
429:
428:
423:
422:
415:
410:
409:
402:
393:
389:
388:
379:
371:
366:
362:
359:
357:
352:
348:
347:
339:
331:
326:
322:
319:
317:
312:
308:
307:
303:
299:
289:
281:ANS synthesizer
266:Gennady Gladkov
254:Eduard Artemiev
195:
162:Byzantine music
158:
156:Byzantine music
153:
151:History and use
141:Julián Carrillo
109:
107:
106:
105:
100:
96:
93:
91:
79:
75:
72:
70:
65:
63:
55:
53:
52:
51:
32:
23:
22:
15:
12:
11:
5:
4392:
4390:
4382:
4381:
4376:
4371:
4361:
4360:
4354:
4353:
4351:
4350:
4339:
4338:
4334:
4331:
4330:
4328:
4327:
4322:
4315:
4310:
4305:
4300:
4295:
4289:
4287:
4283:
4282:
4280:
4279:
4274:
4269:
4264:
4259:
4253:
4251:
4247:
4246:
4244:
4243:
4238:
4233:
4228:
4223:
4218:
4212:
4210:
4206:
4205:
4203:
4202:
4197:
4192:
4191:
4190:
4183:Byzantine lyra
4179:
4177:
4173:
4172:
4170:
4169:
4164:
4163:
4162:
4152:
4147:
4142:
4141:
4140:
4130:
4125:
4120:
4115:
4109:
4107:
4103:
4102:
4100:
4099:
4094:
4089:
4088:
4087:
4077:
4072:
4071:
4070:
4063:Byzantine Rite
4060:
4055:
4050:
4044:
4042:
4038:
4037:
4035:
4034:
4029:
4023:
4021:
4017:
4016:
4014:
4013:
4008:
4003:
3997:
3995:
3991:
3990:
3983:
3981:
3979:
3978:
3973:
3965:
3960:
3955:
3953:Joannes Glykys
3950:
3945:
3940:
3935:
3930:
3925:
3920:
3915:
3910:
3905:
3900:
3895:
3890:
3885:
3880:
3875:
3869:
3867:
3863:
3862:
3857:
3854:
3853:
3848:
3846:
3845:
3838:
3831:
3823:
3814:
3813:
3811:
3810:
3804:
3799:
3794:
3789:
3784:
3779:
3773:
3771:
3767:
3766:
3764:
3763:
3758:
3753:
3743:
3738:
3733:
3732:
3731:
3726:
3721:
3716:
3708:
3703:
3698:
3692:
3690:
3684:
3683:
3680:
3679:
3653:
3651:
3647:
3646:
3644:
3643:
3638:
3633:
3628:
3623:
3608:
3606:
3600:
3599:
3597:
3596:
3591:
3586:
3581:
3576:
3571:
3566:
3561:
3551:
3546:
3541:
3536:
3531:
3526:
3521:
3515:
3513:
3504:
3498:
3497:
3495:
3494:
3489:
3484:
3479:
3474:
3469:
3464:
3459:
3458:
3457:
3452:
3442:
3437:
3432:
3430:Harmonic scale
3427:
3421:
3419:
3413:
3412:
3410:
3409:
3404:
3399:
3394:
3389:
3384:
3379:
3377:Interval ratio
3374:
3369:
3364:
3359:
3354:
3348:
3346:
3342:
3341:
3336:
3334:
3333:
3326:
3319:
3311:
3302:
3301:
3299:
3298:
3293:
3288:
3282:
3280:
3276:
3275:
3273:
3272:
3265:
3258:
3251:
3244:
3239:
3234:
3226:
3224:
3220:
3219:
3217:
3216:
3211:
3204:
3198:
3196:
3190:
3189:
3187:
3186:
3181:
3179:Xenharmonicity
3176:
3171:
3166:
3161:
3155:
3153:
3147:
3146:
3143:
3142:
3140:
3139:
3134:
3128:
3126:
3120:
3119:
3117:
3116:
3111:
3106:
3101:
3096:
3091:
3086:
3081:
3076:
3071:
3066:
3061:
3056:
3050:
3048:
3042:
3041:
3039:
3038:
3032:
3027:
3022:
3017:
3011:
3009:
2998:
2992:
2991:
2989:
2988:
2983:
2978:
2973:
2968:
2963:
2961:Adriaan Fokker
2958:
2953:
2948:
2942:
2940:
2936:
2935:
2923:
2921:
2919:
2918:
2916:La Monte Young
2913:
2908:
2903:
2898:
2893:
2888:
2883:
2881:John Schneider
2878:
2873:
2868:
2863:
2858:
2853:
2848:
2843:
2838:
2833:
2828:
2826:Bjørn Fongaard
2823:
2818:
2813:
2808:
2806:Mildred Couper
2803:
2798:
2793:
2788:
2783:
2778:
2772:
2770:
2766:
2765:
2760:
2758:
2757:
2750:
2743:
2735:
2729:
2728:
2723:
2702:
2701:
2700:
2690:
2670:
2663:
2662:External links
2660:
2657:
2656:
2644:
2624:
2605:
2588:
2577:
2576:
2574:
2571:
2570:
2569:
2564:
2557:
2554:
2514:
2511:
2472:
2471:
2458:
2445:
2429:
2428:
2425:
2423:
2420:
2417:
2404:
2401:
2398:
2391:
2390:
2387:
2374:
2371:
2368:
2355:
2352:
2349:
2343:
2342:
2339:
2326:
2323:
2320:
2307:
2304:
2301:
2295:
2294:
2291:
2278:
2275:
2272:
2266:
2265:
2262:
2249:
2246:
2243:
2230:
2227:
2224:
2217:
2216:
2213:
2200:
2197:
2194:
2181:
2178:
2175:
2169:
2168:
2165:
2152:
2149:
2146:
2142:
2141:
2138:
2125:
2122:
2119:
2106:
2103:
2100:
2096:
2095:
2092:
2079:
2076:
2073:
2066:
2065:
2062:
2049:
2046:
2043:
2030:
2027:
2024:
2018:
2017:
2014:
2001:
1998:
1995:
1981:
1980:
1977:
1964:
1961:
1958:
1954:
1953:
1950:
1937:
1934:
1931:
1918:
1915:
1912:
1898:
1897:
1894:
1881:
1878:
1875:
1862:
1859:
1856:
1854:neutral second
1849:
1848:
1845:
1832:
1829:
1826:
1813:
1810:
1807:
1805:neutral second
1800:
1799:
1796:
1783:
1780:
1777:
1764:
1761:
1758:
1748:
1747:
1744:
1731:
1728:
1725:
1712:
1709:
1706:
1696:
1695:
1692:
1690:
1687:
1684:
1671:
1668:
1665:
1661:
1660:
1657:
1644:
1641:
1638:
1625:
1622:
1619:
1613:
1612:
1609:
1607:
1604:
1601:
1588:
1585:
1582:
1568:
1567:
1564:
1551:
1548:
1545:
1532:
1529:
1526:
1520:
1519:
1516:
1503:
1500:
1497:
1484:
1481:
1478:
1474:
1473:
1470:
1468:
1465:
1462:
1449:
1446:
1443:
1439:
1438:
1435:
1422:
1419:
1416:
1403:
1400:
1397:
1391:
1390:
1387:
1385:
1382:
1379:
1366:
1363:
1360:
1356:
1355:
1352:
1339:
1336:
1333:
1320:
1317:
1314:
1308:
1307:
1304:
1302:
1299:
1296:
1283:
1280:
1277:
1270:
1269:
1266:
1253:
1250:
1247:
1234:
1231:
1228:
1222:
1221:
1218:
1205:
1202:
1199:
1186:
1183:
1180:
1173:
1172:
1169:
1156:
1153:
1150:
1137:
1134:
1131:
1124:
1123:
1120:
1107:
1104:
1101:
1088:
1085:
1082:
1076:
1075:
1072:
1070:
1067:
1064:
1060:
1059:
1056:
1043:
1040:
1037:
1024:
1021:
1018:
1011:
1010:
1007:
1005:
1002:
999:
995:
994:
991:
978:
975:
972:
959:
956:
953:
949:
948:
945:
932:
929:
926:
913:
910:
907:
905:perfect fourth
901:
900:
897:
884:
881:
878:
865:
862:
859:
855:
854:
851:
838:
835:
832:
819:
816:
813:
812:11th harmonic
809:
808:
805:
803:
800:
797:
784:
781:
778:
774:
773:
770:
757:
754:
751:
738:
735:
732:
726:
725:
722:
720:
717:
714:
701:
698:
695:
691:
690:
687:
674:
671:
668:
655:
652:
649:
643:
642:
639:
637:
634:
631:
629:
626:
623:
617:
616:
613:
611:
608:
605:
603:
600:
597:
591:
590:
587:
584:
581:
578:
575:
572:
569:
568:Interval Name
551:
548:
288:
285:
226:Joseph Pehrson
207:Iannis Xenakis
194:
191:
157:
154:
152:
149:
145:sixteenth-tone
125:11-limit music
24:
18:Two-third tone
14:
13:
10:
9:
6:
4:
3:
2:
4391:
4380:
4379:Microtonality
4377:
4375:
4372:
4370:
4367:
4366:
4364:
4349:
4341:
4340:
4336:
4335:
4332:
4326:
4323:
4321:
4320:
4316:
4314:
4311:
4309:
4306:
4304:
4301:
4299:
4296:
4294:
4291:
4290:
4288:
4284:
4278:
4275:
4273:
4270:
4268:
4265:
4263:
4260:
4258:
4255:
4254:
4252:
4248:
4242:
4239:
4237:
4234:
4232:
4231:Oliver Strunk
4229:
4227:
4226:Peter Jeffery
4224:
4222:
4219:
4217:
4214:
4213:
4211:
4207:
4201:
4198:
4196:
4193:
4189:
4186:
4185:
4184:
4181:
4180:
4178:
4174:
4168:
4165:
4161:
4158:
4157:
4156:
4153:
4151:
4148:
4146:
4143:
4139:
4136:
4135:
4134:
4131:
4129:
4126:
4124:
4121:
4119:
4116:
4114:
4111:
4110:
4108:
4104:
4098:
4095:
4093:
4090:
4086:
4083:
4082:
4081:
4078:
4076:
4073:
4069:
4066:
4065:
4064:
4061:
4059:
4056:
4054:
4051:
4049:
4046:
4045:
4043:
4039:
4033:
4030:
4028:
4025:
4024:
4022:
4018:
4012:
4009:
4007:
4004:
4002:
3999:
3998:
3996:
3992:
3987:
3977:
3974:
3970:
3966:
3964:
3963:John Laskaris
3961:
3959:
3956:
3954:
3951:
3949:
3948:Xenos Korones
3946:
3944:
3941:
3939:
3936:
3934:
3931:
3929:
3926:
3924:
3921:
3919:
3916:
3914:
3911:
3909:
3906:
3904:
3901:
3899:
3896:
3894:
3891:
3889:
3886:
3884:
3881:
3879:
3876:
3874:
3871:
3870:
3868:
3864:
3860:
3855:
3851:
3844:
3839:
3837:
3832:
3830:
3825:
3824:
3821:
3808:
3805:
3803:
3800:
3798:
3795:
3793:
3790:
3788:
3785:
3783:
3780:
3778:
3775:
3774:
3772:
3768:
3762:
3759:
3757:
3754:
3751:
3750:Carnatic raga
3747:
3744:
3742:
3739:
3737:
3734:
3730:
3727:
3725:
3722:
3720:
3719:Turkish makam
3717:
3715:
3712:
3711:
3709:
3707:
3704:
3702:
3699:
3697:
3694:
3693:
3691:
3685:
3676:
3672:
3668:
3664:
3660:
3656:
3652:
3648:
3642:
3639:
3637:
3634:
3632:
3629:
3627:
3624:
3621:
3617:
3616:quarter-comma
3613:
3610:
3609:
3607:
3605:
3601:
3595:
3592:
3590:
3587:
3585:
3582:
3580:
3577:
3575:
3572:
3570:
3567:
3565:
3562:
3559:
3555:
3552:
3550:
3547:
3545:
3542:
3540:
3537:
3535:
3532:
3530:
3527:
3525:
3522:
3520:
3517:
3516:
3514:
3512:
3508:
3505:
3503:
3499:
3493:
3492:Tonality flux
3490:
3488:
3485:
3483:
3480:
3478:
3475:
3473:
3470:
3468:
3465:
3463:
3460:
3456:
3453:
3451:
3448:
3447:
3446:
3443:
3441:
3438:
3436:
3433:
3431:
3428:
3426:
3423:
3422:
3420:
3418:
3414:
3408:
3405:
3403:
3400:
3398:
3395:
3393:
3390:
3388:
3385:
3383:
3380:
3378:
3375:
3373:
3370:
3368:
3365:
3363:
3360:
3358:
3355:
3353:
3350:
3349:
3347:
3343:
3339:
3332:
3327:
3325:
3320:
3318:
3313:
3312:
3309:
3297:
3294:
3292:
3289:
3287:
3284:
3283:
3281:
3277:
3271:
3270:
3266:
3264:
3263:
3259:
3257:
3256:
3252:
3250:
3249:
3245:
3243:
3240:
3238:
3235:
3233:
3232:
3228:
3227:
3225:
3221:
3215:
3212:
3210:
3209:
3205:
3203:
3200:
3199:
3197:
3191:
3185:
3182:
3180:
3177:
3175:
3172:
3170:
3167:
3165:
3162:
3160:
3157:
3156:
3154:
3148:
3138:
3135:
3133:
3130:
3129:
3127:
3125:
3121:
3115:
3112:
3110:
3107:
3105:
3102:
3100:
3097:
3095:
3092:
3090:
3087:
3085:
3082:
3080:
3077:
3075:
3072:
3070:
3067:
3065:
3062:
3060:
3057:
3055:
3052:
3051:
3049:
3047:
3043:
3036:
3033:
3031:
3028:
3026:
3023:
3021:
3018:
3016:
3013:
3012:
3010:
3008:
3002:
2999:
2993:
2987:
2984:
2982:
2979:
2977:
2974:
2972:
2969:
2967:
2964:
2962:
2959:
2957:
2954:
2952:
2949:
2947:
2944:
2943:
2941:
2937:
2932:
2927:
2917:
2914:
2912:
2909:
2907:
2906:Elaine Walker
2904:
2902:
2901:Claude Vivier
2899:
2897:
2894:
2892:
2889:
2887:
2884:
2882:
2879:
2877:
2876:Roger Redgate
2874:
2872:
2869:
2867:
2864:
2862:
2859:
2857:
2856:Stu Mackenzie
2854:
2852:
2851:György Ligeti
2849:
2847:
2844:
2842:
2839:
2837:
2834:
2832:
2829:
2827:
2824:
2822:
2819:
2817:
2814:
2812:
2809:
2807:
2804:
2802:
2799:
2797:
2794:
2792:
2789:
2787:
2784:
2782:
2779:
2777:
2774:
2773:
2771:
2767:
2763:
2756:
2751:
2749:
2744:
2742:
2737:
2736:
2733:
2727:
2724:
2711:
2707:
2706:"Alterations"
2703:
2699:
2695:
2691:
2689:
2686:
2685:
2675:
2671:
2669:
2666:
2665:
2661:
2652:
2648:
2645:
2641:
2637:
2633:
2628:
2625:
2622:
2618:
2614:
2609:
2606:
2602:
2598:
2592:
2589:
2582:
2579:
2572:
2568:
2565:
2563:
2560:
2559:
2555:
2553:
2547:
2541:
2529:
2519:
2513:Scale diagram
2512:
2510:
2508:
2504:
2499:
2496:
2492:
2488:
2487:perfect fifth
2483:
2481:
2477:
2467:
2459:
2454:
2446:
2441:
2433:
2432:
2413:
2397:
2392:
2383:
2364:
2348:
2344:
2335:
2316:
2300:
2296:
2287:
2271:
2267:
2258:
2239:
2223:
2218:
2209:
2190:
2174:
2170:
2161:
2143:
2134:
2115:
2097:
2088:
2072:
2067:
2058:
2039:
2023:
2019:
2010:
1982:
1973:
1955:
1946:
1927:
1899:
1890:
1871:
1855:
1850:
1841:
1822:
1806:
1801:
1792:
1773:
1757:
1753:
1749:
1740:
1721:
1705:
1701:
1697:
1680:
1662:
1653:
1634:
1618:
1614:
1597:
1569:
1560:
1541:
1525:
1521:
1512:
1493:
1475:
1458:
1440:
1431:
1412:
1396:
1392:
1375:
1357:
1348:
1329:
1313:
1312:neutral third
1309:
1292:
1276:
1275:neutral third
1271:
1262:
1243:
1227:
1223:
1214:
1195:
1179:
1174:
1165:
1146:
1130:
1125:
1116:
1097:
1081:
1077:
1061:
1052:
1033:
1017:
1012:
996:
987:
968:
950:
941:
922:
906:
902:
893:
874:
856:
847:
828:
810:
793:
775:
766:
747:
731:
727:
710:
692:
683:
664:
648:
647:perfect fifth
644:
622:
618:
596:
592:
583:Just (cents)
574:Size (cents)
571:Size (steps)
566:
563:
556:
550:Interval size
549:
547:
511:
504:
477:
464:
456:
445:
419:
406:
399:
397:
383:
375:
343:
335:
298:
294:
286:
284:
282:
277:
275:
271:
267:
263:
262:Andrei Eshpai
259:
255:
251:
247:
243:
239:
235:
231:
227:
223:
219:
215:
210:
208:
204:
200:
192:
190:
188:
184:
180:
175:
171:
167:
163:
155:
150:
148:
146:
142:
138:
134:
130:
126:
122:
117:
112:
89:
85:
58:
49:
45:
42:, 72-TET, 72-
41:
37:
30:
19:
4317:
4298:Protopsaltes
4241:Egon Wellesz
4160:Nana (echos)
4117:
3807:Lambda scale
3714:Arabic maqam
3671:Werckmeister
3588:
3502:Temperaments
3279:Other topics
3267:
3260:
3253:
3246:
3229:
3223:Compositions
3206:
3195:publications
3150:Concepts and
3108:
3035:Lambda scale
2976:Harry Partch
2971:Yuri Landman
2966:Lou Harrison
2951:Wendy Carlos
2946:Glenn Branca
2846:Ben Johnston
2841:Charles Ives
2801:Franklin Cox
2791:Heinz Bohlen
2714:. Retrieved
2710:the original
2697:
2688:Sagittal.org
2677:. Retrieved
2647:
2631:
2627:
2612:
2608:
2600:
2596:
2591:
2581:
2551:
2533:and 72-tone
2500:
2484:
2473:
1957:great limma
561:
400:
370:cents), and
292:
290:
278:
238:James Tenney
218:Julia Werntz
211:
196:
165:
159:
136:
118:
40:twelfth-tone
39:
35:
33:
4293:Akolouthiai
4188:Cretan lyra
4176:Instruments
3958:John Kladas
3802:Delta scale
3797:Gamma scale
3787:Alpha scale
3689:non-Western
3687:Traditional
3382:Pitch class
3362:Millioctave
3345:Measurement
3242:just pieces
3030:Delta scale
3025:Gamma scale
3015:Alpha scale
3005:Non-octave-
2995:Tunings and
2956:Ivor Darreg
2781:Béla Bartók
2716:October 16,
2480:major third
1571:tridecimal
1395:minor third
1273:tridecimal
1226:major third
1178:major third
1129:major third
1016:major third
1014:tridecimal
580:Just Ratio
485:(4 steps =
297:accidentals
170:Aristoxenos
4363:Categories
4250:Performers
4075:Koinonikon
4058:Cherubikon
3792:Beta scale
3770:Non-octave
3761:Tetrachord
3663:Kirnberger
3626:Schismatic
3193:Groups and
3152:techniques
3020:Beta scale
2871:Joe Maneri
2831:Alois Hába
2811:John Eaton
2573:References
2394:undecimal
2220:chromatic
1756:minor tone
1752:whole tone
1704:major tone
1700:whole tone
1127:undecimal
214:Joe Maneri
199:Alois Hába
174:irrational
129:Alois Hába
34:In music,
4133:Octoechos
4097:Sticheron
4092:Troparion
4080:Kontakion
4048:Aposticha
4032:Octoechos
3994:Theorists
3866:Composers
3782:A12 scale
3736:Octoechos
3701:Shí-èr-lǜ
3650:Irregular
3467:Otonality
3407:Microtone
3174:Sonido 13
2939:Inventors
2891:Ezra Sims
2769:Composers
2474:Although
2069:diatonic
234:Ezra Sims
183:chromatic
137:continuum
38:, called
4348:Category
4209:Scholars
4195:Thaboura
4085:Akathist
4068:Kathisma
3667:Vallotti
3620:septimal
3612:Meantone
3372:Interval
3169:Semitone
2679:June 24,
2556:See also
2521:12-tone
2222:semitone
2071:semitone
546:cents).
529:♭
520:♯
482:♭
469:♯
424:♭
411:♭
330:cents),
287:Notation
181:and the
179:diatonic
88:halftone
48:tempered
4286:Related
4200:Organon
4113:Petasti
4020:Liturgy
3756:Slendro
3706:Dastgah
3631:Miracle
3594:96-tone
3589:72-tone
3584:58-tone
3579:53-tone
3574:41-tone
3569:34-tone
3564:31-tone
3554:24-tone
3549:23-tone
3544:22-tone
3539:19-tone
3534:17-tone
3529:15-tone
3524:12-tone
3455:7-limit
3450:5-limit
2419:100:99
2124:104.95
2078:111.73
2048:119.44
2029:116.67
2000:128.30
1989:⁄
1963:133.24
1936:138.57
1917:133.33
1906:⁄
1880:150.64
1831:165.00
1812:166.67
1782:182.40
1763:183.33
1730:203.91
1689:216.69
1670:216.67
1643:231.17
1624:233.33
1606:247.74
1576:⁄
1550:266.87
1531:266.67
1502:289.21
1483:283.33
1467:301.85
1421:315.64
1402:316.67
1384:336.13
1365:333.33
1338:347.41
1301:359.47
1282:366.67
1252:386.31
1233:383.33
1204:386.31
1155:417.51
1136:416.67
1106:435.08
1087:433.33
1069:446.36
1042:454.21
1004:464.43
977:470.78
958:466.66
931:498.04
883:536.95
864:533.33
837:551.32
802:563.38
783:566.67
756:582.51
737:583.33
719:603.00
673:701.96
636:968.83
628:966.67
541:⁄
494:⁄
432:⁄
392:⁄
365:⁄
351:⁄
325:⁄
311:⁄
99:⁄
78:⁄
64:√
4138:Nenano
4106:Theory
3908:Kassia
3724:Mugham
3710:Maqam
3604:Linear
3558:pieces
3519:6-tone
3440:Hexany
3367:Savart
3248:Mother
2997:scales
2886:Sevish
2654:2007).
2638:
2619:
2427:−0.73
2422:17.40
2403:16.67
2389:−2.36
2373:35.70
2370:49:48
2354:33.33
2341:+1.23
2325:48.77
2322:36:35
2293:+3.71
2277:62.96
2274:28:27
2264:−4.01
2248:70.67
2245:25:24
2229:66.67
2215:−1.13
2199:84.47
2196:21:20
2180:83.33
2167:+1.05
2151:98.95
2148:18:17
2140:-4.95
2121:17:16
2094:+4.94
2075:16:15
2064:−2.78
2045:15:14
2016:+5.04
1997:14:13
1979:+0.09
1960:27:25
1952:−5.24
1933:13:12
1896:−0.64
1877:12:11
1847:+1.66
1828:11:10
1798:+0.93
1746:−3.91
1694:−0.02
1686:17:15
1659:+2.16
1611:+2.26
1603:15:13
1566:−0.20
1518:−5.88
1499:13:11
1472:-1.85
1464:25:21
1437:+1.03
1389:−2.80
1381:17:14
1354:+2.59
1306:+7.19
1298:16:13
1268:−2.98
1220:13.69
1171:−0.84
1152:14:11
1122:−1.75
1074:+3.64
1066:22:17
1058:−4.21
1039:13:10
1009:+2.24
1001:17:13
993:−4.11
974:21:16
947:+1.96
899:−3.62
880:15:11
853:−1.32
807:+3.28
799:18:13
772:+0.82
724:−3.00
716:17:12
689:−1.96
641:−2.16
595:octave
589:Error
272:, and
187:ratios
4128:Echos
4053:Canon
4041:Forms
3741:Pelog
3729:Muqam
3675:Young
3636:Magic
3511:Equal
3445:Limit
3352:Pitch
3159:Limit
2507:41-ET
2503:31-ET
2476:12-ET
2396:comma
1994:tone
1911:tone
1779:10:9
1581:tone
1335:11:9
834:11:8
610:1200
602:1200
586:MIDI
577:MIDI
523:, or
472:, or
166:moria
84:cents
69:, or
4167:Ison
3746:Raga
3357:Cent
2718:2017
2681:2022
2636:ISBN
2617:ISBN
2539:Play
2527:Play
2505:and
2411:play
2381:play
2362:play
2333:play
2314:play
2285:play
2256:play
2237:play
2207:play
2188:play
2159:play
2132:play
2113:play
2105:100
2086:play
2056:play
2037:play
2008:play
1971:play
1944:play
1925:play
1888:play
1869:play
1861:150
1839:play
1820:play
1790:play
1771:play
1738:play
1727:9:8
1719:play
1711:200
1678:play
1651:play
1640:8:7
1632:play
1595:play
1587:250
1558:play
1547:7:6
1539:play
1510:play
1491:play
1456:play
1448:300
1429:play
1418:6:5
1410:play
1373:play
1346:play
1327:play
1319:350
1290:play
1260:play
1249:5:4
1241:play
1212:play
1201:5:4
1193:play
1185:400
1163:play
1144:play
1114:play
1103:9:7
1095:play
1050:play
1031:play
1023:450
985:play
966:play
939:play
928:4:3
920:play
912:500
891:play
872:play
845:play
826:play
818:550
791:play
764:play
753:7:5
745:play
708:play
700:600
681:play
670:3:2
662:play
654:700
633:7:4
607:2:1
386:for
378:and
346:for
338:and
306:for
302:and
291:The
279:The
236:and
205:and
131:and
110:Play
56:Play
2696:",
2306:50
1809:10
1760:11
1708:12
1667:13
1621:14
1584:15
1528:16
1480:17
1445:18
1399:19
1362:20
1316:21
1279:22
1230:23
1182:24
1133:25
1084:26
1020:27
955:28
909:30
861:32
815:33
780:34
734:35
697:36
651:42
625:58
599:72
414:or
44:EDO
4365::
3673:,
3669:,
3665:,
3618:,
3114:96
3109:72
3104:58
3099:53
3094:41
3089:34
3084:31
3079:24
3074:23
3069:22
3064:19
3059:17
3054:15
2599:,
2400:1
2351:2
2303:3
2226:4
2177:5
2102:6
2026:7
1914:8
1858:9
1754:,
1702:,
615:0
534:83
514:,
487:66
459:,
448:,
358:33
318:16
313:12
276:.
268:,
264:,
260:,
256:,
252:,
248:,
244:,
209:.
92:16
71:16
3971:*
3842:e
3835:t
3828:v
3752:)
3748:(
3677:)
3661:(
3657:/
3622:)
3614:(
3560:)
3556:(
3330:e
3323:t
3316:v
2754:e
2747:t
2740:v
2720:.
2692:"
2683:.
2642:.
1991:3
1987:2
1908:3
1904:2
1578:4
1574:5
543:3
539:1
536:+
532:(
525:↑
516:↓
496:3
492:2
489:+
450:↓
439:↑
434:3
430:1
394:4
390:1
367:3
363:1
360:+
353:6
349:1
327:3
323:2
320:+
309:1
304:↑
300:↓
101:3
97:2
94:+
80:3
76:2
73:+
66:2
31:.
20:)
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