2956:
3858:
20:
3853:
3026:
2209:
1238:
3648:
545:
401:
2692:
of the size of the odd limit tells us that it becomes large fairly quickly. There are seven members to the 5-limit diamond, 13 to the 7-limit diamond, 19 to the 9-limit diamond, 29 to the 11-limit diamond, 41 to the 13-limit diamond, and 49 to the 15-limit diamond; these suffice for most purposes.
410:
266:
221:). These are placed in descending order. At all other locations are placed the product of the diagonally upper- and lower-left intervals, reduced to the octave. This gives all the elements of the tonality diamond, with some repetition. Diagonals sloping in one direction form
553:'s 11-limit diamond, each ratio of a right slanting row shares a numerator and each ratio of a left slanting row shares an denominator. Each ratio of the upper left row has 7 as a denominator, while each ratio of the upper right row has 7 (or 14) as a numerator.
2725:
for example is derived from dividing the string to 5 equal parts and shortening the length to the 4th part from the bottom. In
Landmans diagram these numbers is inverted, changing the frequency ratios into string length ratios.
908:
728:
879:
856:
778:
755:
540:{\displaystyle {\begin{array}{cccccc}{\frac {1}{1}}&{\frac {1}{2}}&{\frac {1}{3}}&{\frac {1}{4}}&{\frac {1}{5}}&\mathrm {etc.} \\&&({\frac {4}{3}})&&({\frac {8}{5}})\end{array}}}
396:{\displaystyle {\begin{array}{cccccc}{\frac {1}{1}}&{\frac {2}{1}}&{\frac {3}{1}}&{\frac {4}{1}}&{\frac {5}{1}}&\mathrm {etc.} \\&&({\frac {3}{2}})&&({\frac {5}{4}})\end{array}}}
153:, and subdivided into (n+1)/4 smaller rhombuses. Along the upper left side of the rhombus are placed the odd numbers from 1 to n, each reduced to the octave (divided by the minimum power of 2 such that
803:
2715:
In Partch's ratios, the over number corresponds to the amount of equal divisions of a vibrating string and the under number corresponds to the which division the string length is shortened to.
2639:
2686:
4195:
219:
183:
96:
2563:
to n, that is, it counts the integers less than n which share no common factor with n, and if d(n) denotes the size of the n-limit tonality diamond, we have the formula
185:). These intervals are then arranged in ascending order. Along the lower left side are placed the corresponding reciprocals, 1 to 1/n, also reduced to the octave (here,
3128:
4181:
3679:
3060:
4168:
3193:
2893:
3572:
2233:
surrounding the unison.. Further examples of lattices of diamonds ranging from the triadic to the ogdoadic diamond have been realised by
3782:
3203:
2918:
1249:
This diamond contains six identities (1, 3, 5, 7, 9, 11). Harry Partch used the 11-limit tonality diamond, but flipped it 90 degrees.
2809:
2771:
2225:, meaning all non-unison elements of the diamond are only one unit from the unison. The five-limit diamond then becomes a regular
4058:
3166:
2970:
59:
tonality diamond ("limit" here is in the sense of odd limit, not prime limit) is an arrangement in diamond-shape of the set of
3672:
3351:
2913:
141:("Many theorists of just intonation consider the tonality diamond Partch's greatest contribution to microtonal theory.").
2855:
3053:
2569:
4163:
3289:
2556:
4188:
3931:
3807:
3702:
3133:
2886:
2704:
published an otonality and utonality diagram that clarifies the relationship of Partch's tonality diamonds to the
4140:
4128:
3665:
3565:
3118:
130:
2647:
3832:
3607:
3402:
3961:
3538:
415:
271:
4090:
3772:
3372:
3198:
3123:
3046:
2980:
2975:
2705:
222:
52:
24:
3156:
2542:
The ratio between the lowest and 2nd lowest and the highest and 2nd highest ratios are the same, and so on.
3787:
3394:
3357:
3347:
2256:
2273:
The system, including the ratios between ratios, is symmetrical within the octave when measured in cents
4243:
3907:
3737:
3390:
3029:
2985:
2879:
1207:
4248:
4217:
4040:
4035:
4030:
4025:
4020:
4015:
4010:
4000:
3995:
3990:
3985:
3980:
3712:
3558:
3398:
3343:
3325:
3320:
3315:
3310:
3305:
3300:
3295:
3280:
3275:
3270:
3265:
3260:
3255:
2943:
2644:
From this we can conclude that the rate of growth of the tonality diamond is asymptotically equal to
1146:
1043:
4212:
4157:
3857:
3837:
3362:
3335:
3233:
134:
2270:
Ratios with relatively lower numbers have more space between them than ratios with higher numbers.
192:
156:
69:
4134:
3852:
3762:
3627:
3427:
3213:
3208:
2935:
3722:
3432:
4222:
4105:
3972:
3752:
3742:
3707:
3617:
3406:
3367:
3242:
3181:
3013:
2805:
2767:
932:
242:
122:
4063:
3912:
3822:
3777:
3747:
3688:
3622:
3602:
3597:
3386:
3250:
3138:
3103:
2955:
2689:
2222:
1182:
1116:
1028:
992:
952:
664:
602:
225:
and the diagonals in the other direction form
Utonalities. One of Partch's instruments, the
4050:
3792:
3612:
3508:
3148:
2784:
2735:
226:
60:
19:
2688:. The first few values are the important ones, and the fact that the size of the diamond
2221:
The five- and seven-limit tonality diamonds exhibit a highly regular geometry within the
4174:
3887:
3842:
3732:
3186:
3161:
3108:
3069:
2246:
1167:
700:
246:
40:
4237:
4085:
3827:
3802:
3757:
3592:
3481:
3450:
3223:
3176:
3083:
2997:
2740:
2230:
977:
568:
56:
4005:
3902:
3897:
3892:
3877:
3872:
3767:
3727:
3717:
3445:
3285:
3088:
2902:
2701:
1242:
550:
138:
36:
28:
405:
In the
Utonality the numerator is always 1 and the numerary nexus is thus also 1:
2827:
3956:
3951:
3941:
3882:
3581:
3533:
3528:
3518:
3113:
3093:
2709:
2264:
1131:
1013:
679:
587:
254:
118:
103:
3946:
3797:
3523:
3492:
2861:
2234:
2208:
111:
129:
equivalence. The tonality diamond is often regarded as comprising the set of
4100:
3817:
3647:
3513:
3467:
2857:
Comparison of
Harmonic Utonal Scales with 12TET and the Harmonic Series in E
2260:
258:
250:
99:
1237:
4095:
3637:
3487:
3437:
2762:
Rasch, Rudolph (2000). "A Word or Two on the
Tunings of Harry Partch",
2560:
2226:
150:
149:
Partch arranged the elements of the tonality diamond in the shape of a
2708:
and string lengths (as Partch also used in his
Kitharas) and Landmans
2519:
are 203.91 cents apart, while the ratios with relatively high numbers
3812:
3455:
3171:
3098:
1060:
942:
717:
619:
560:
126:
2205:
This diamond contains eight identities (1, 3, 5, 7, 9, 11, 13, 15).
3657:
2822:
2251:
Three properties of the tonality diamond and the ratios contained:
110:, when reduced to lowest terms, is less than or equal to the fixed
3472:
3460:
3038:
2207:
1236:
48:
18:
3477:
3661:
3554:
3042:
2875:
2871:
3550:
2559:, which gives the number of positive integers less than n and
257:, with different identities in the other. For example, in the
261:
the denominator is always 1, thus 1 is the numerary nexus:
2758:
2756:
117:. Equivalently, the diamond may be considered as a set of
2237:
where each interval is given its own unique direction.
2229:
surrounding the unison, and the seven-limit diamond a
2650:
2572:
413:
269:
195:
159:
72:
2287:
5-limit tonality diamond, ordered least to greatest
2212:
A lattice showing a mapping of the 15 limit diamond.
1229:
This diamond contains four identities (1, 3, 5, 7).
4205:
4196:
Twelve
Microtonal Etudes for Electronic Music Media
4149:
4119:
4076:
4049:
3971:
3930:
3921:
3865:
3695:
3501:
3418:
3381:
3334:
3241:
3232:
3147:
3076:
3006:
2963:
2927:
2764:
Harry Partch: An
Anthology of Critical Perspectives
137:, the tonality diamond is now most associated with
2680:
2633:
539:
395:
213:
177:
90:
2634:{\displaystyle d(n)=\sum _{m<n\ odd}\phi (m).}
229:, is arranged according to the tonality diamond.
133:of the n-limit. Although originally invented by
3673:
3566:
3054:
2887:
8:
3129:List of intervals in 5-limit just intonation
549:For example, in a tonality diamond, such as
1245:'s tuning system: 11-limit tonality diamond
3927:
3680:
3666:
3658:
3573:
3559:
3551:
3238:
3061:
3047:
3039:
2894:
2880:
2872:
2681:{\displaystyle {\frac {2}{\pi ^{2}}}n^{2}}
2255:All ratios between neighboring ratios are
2672:
2660:
2651:
2649:
2592:
2571:
520:
501:
478:
466:
454:
442:
430:
418:
414:
412:
376:
357:
334:
322:
310:
298:
286:
274:
270:
268:
194:
158:
71:
2283:
2841:
2839:
2837:
2752:
2499:The ratios with relatively low numbers
2259:, those with a difference of 1 between
31:based on the 11-limit tonality diamond
98:, such that the odd part of both the
7:
2785:Musical Mathematics: Meyer's Diamond
189:by the minimum power of 2 such that
2697:Translation to string length ratios
2828:The Wilson Archives, Anaphoria.com
2241:Properties of the tonality diamond
485:
482:
479:
341:
338:
335:
14:
3856:
3851:
3646:
3204:Ptolemy's intense diatonic scale
3025:
3024:
2954:
2217:Geometry of the tonality diamond
47:is a two-dimensional diagram of
2804:, p.295. Boydell & Brewer.
53:Otonality and one the Utonality
27:, an instrument constructed by
2625:
2619:
2582:
2576:
530:
517:
511:
498:
386:
373:
367:
354:
51:in which one dimension is the
1:
2831:. Accessed: December 09 2016.
2791:. Accessed: December 09 2016.
4059:Harry Partch's 43-tone scale
3167:Harry Partch's 43-tone scale
2783:Forster, Cristiano (2000). "
2547:Size of the tonality diamond
931:This diamond contains three
214:{\displaystyle 1\leq r<2}
178:{\displaystyle 1\leq r<2}
121:, where a pitch class is an
91:{\displaystyle 1\leq r<2}
4182:Sonata for Microtonal Piano
2802:Harry Partch, Hobo Composer
2800:Granade, S. Andrew (2014).
4265:
4189:Suite for Microtonal Piano
3134:List of meantone intervals
2286:
2244:
4141:Huygens-Fokker Foundation
4129:Boston Microtonal Society
3849:
3644:
3608:Fokker periodicity blocks
3588:
3124:List of musical intervals
3119:Consonance and dissonance
3022:
2952:
2909:
2766:, p.28. Dunn, David, ed.
2436:
2433:
2430:
2427:
2424:
2421:
2418:
2408:
2405:
2402:
2399:
2396:
2393:
2390:
2387:
2371:
2360:
2349:
2338:
2327:
2316:
2305:
2294:
2789:Chrysalis-Foundation.org
2557:Euler's totient function
4091:Otonality and Utonality
2981:Otonality and Utonality
2976:Quadrangularis Reversum
2860:(Image). Archived from
145:The diamond arrangement
25:Quadrangularis Reversum
3788:Claus-Steffen Mahnkopf
2682:
2635:
2539:are 70.67 cents apart.
2257:superparticular ratios
2213:
1246:
541:
397:
245:shared by two or more
215:
179:
92:
32:
16:Set of musical pitches
3964:(Bohlen–Pierce scale)
3908:Tui St. George Tucker
3391:Temperament ordinaire
2986:Odentity and Udentity
2683:
2636:
2245:Further information:
2211:
1240:
542:
398:
216:
180:
93:
22:
4218:Generalized keyboard
3713:Easley Blackwood Jr.
3194:List of compositions
2944:Delusion of the Fury
2648:
2570:
411:
267:
193:
157:
70:
4213:Enharmonic keyboard
4164:quarter tone pieces
4158:Beauty in the Beast
3838:Ivan Wyschnegradsky
3623:Pitch constellation
2919:List of instruments
2845:Rasch (2000), p.30.
2690:grows as the square
135:Max Friedrich Meyer
4135:Genesis of a Music
3763:Christiaan Huygens
3628:Spiral array model
3428:Chinese musicology
3214:Scale of harmonics
3209:Pythagorean tuning
3157:Euler–Fokker genus
2936:Genesis of a Music
2678:
2631:
2615:
2446:The ratio between
2214:
1247:
537:
535:
393:
391:
211:
175:
88:
33:
4231:
4230:
4223:Modernism (music)
4072:
4071:
3973:Equal temperament
3743:Brian Ferneyhough
3655:
3654:
3618:Pitch class space
3548:
3547:
3414:
3413:
3036:
3035:
3014:West Coast School
2666:
2604:
2588:
2443:
2442:
2203:
2202:
1227:
1226:
929:
928:
716:
715:
528:
509:
474:
462:
450:
438:
426:
384:
365:
330:
318:
306:
294:
282:
125:of pitches under
123:equivalence class
4256:
4111:Tonality diamond
3934:repeating scales
3928:
3913:Nicola Vicentino
3860:
3855:
3823:Nicola Vicentino
3748:Michael Finnissy
3689:Microtonal music
3682:
3675:
3668:
3659:
3650:
3633:Tonality diamond
3603:Circle of fifths
3598:Chromatic circle
3575:
3568:
3561:
3552:
3387:Well temperament
3373:Regular diatonic
3239:
3219:Tonality diamond
3063:
3056:
3049:
3040:
3028:
3027:
2993:Tonality diamond
2958:
2896:
2889:
2882:
2873:
2866:
2865:
2852:
2846:
2843:
2832:
2823:Diamond Lattices
2819:
2813:
2798:
2792:
2781:
2775:
2760:
2724:
2723:
2719:
2687:
2685:
2684:
2679:
2677:
2676:
2667:
2665:
2664:
2652:
2640:
2638:
2637:
2632:
2614:
2602:
2561:relatively prime
2538:
2537:
2533:
2528:
2527:
2523:
2518:
2517:
2513:
2508:
2507:
2503:
2495:
2494:
2490:
2485:
2484:
2480:
2475:
2474:
2470:
2465:
2464:
2460:
2455:
2454:
2450:
2380:
2379:
2375:
2369:
2368:
2364:
2358:
2357:
2353:
2347:
2346:
2342:
2336:
2335:
2331:
2325:
2324:
2320:
2314:
2313:
2309:
2303:
2302:
2298:
2284:
2223:modulatory space
2199:
2198:
2194:
2172:
2171:
2167:
2159:
2158:
2154:
2134:
2133:
2129:
2121:
2120:
2116:
2108:
2107:
2103:
2085:
2084:
2080:
2072:
2071:
2067:
2059:
2058:
2054:
2046:
2045:
2041:
2025:
2024:
2020:
2012:
2011:
2007:
1999:
1998:
1994:
1986:
1985:
1981:
1973:
1972:
1968:
1954:
1953:
1949:
1941:
1940:
1936:
1928:
1927:
1923:
1915:
1914:
1910:
1902:
1901:
1897:
1889:
1888:
1884:
1872:
1871:
1867:
1859:
1858:
1854:
1846:
1845:
1841:
1833:
1832:
1828:
1820:
1819:
1815:
1807:
1806:
1802:
1794:
1793:
1789:
1779:
1778:
1774:
1766:
1765:
1761:
1753:
1752:
1748:
1740:
1739:
1735:
1727:
1726:
1722:
1714:
1713:
1709:
1701:
1700:
1696:
1688:
1687:
1683:
1675:
1674:
1670:
1662:
1661:
1657:
1649:
1648:
1644:
1636:
1635:
1631:
1623:
1622:
1618:
1610:
1609:
1605:
1597:
1596:
1592:
1582:
1581:
1577:
1569:
1568:
1564:
1556:
1555:
1551:
1543:
1542:
1538:
1530:
1529:
1525:
1517:
1516:
1512:
1500:
1499:
1495:
1487:
1486:
1482:
1474:
1473:
1469:
1461:
1460:
1456:
1448:
1447:
1443:
1429:
1428:
1424:
1416:
1415:
1411:
1403:
1402:
1398:
1390:
1389:
1385:
1369:
1368:
1364:
1356:
1355:
1351:
1343:
1342:
1338:
1320:
1319:
1315:
1307:
1306:
1302:
1282:
1281:
1277:
1257:
1256:
1216:
1215:
1211:
1191:
1190:
1186:
1176:
1175:
1171:
1155:
1154:
1150:
1140:
1139:
1135:
1125:
1124:
1120:
1109:
1108:
1104:
1096:
1095:
1091:
1083:
1082:
1078:
1069:
1068:
1064:
1052:
1051:
1047:
1037:
1036:
1032:
1022:
1021:
1017:
1001:
1000:
996:
986:
985:
981:
961:
960:
956:
943:
923:
922:
921:
919:
918:
917:
913:
894:
893:
892:
890:
889:
888:
884:
871:
870:
869:
867:
866:
865:
861:
844:
843:
839:
831:
830:
826:
818:
817:
816:
814:
813:
812:
808:
793:
792:
791:
789:
788:
787:
783:
770:
769:
768:
766:
765:
764:
760:
743:
742:
741:
739:
738:
737:
733:
718:
709:
708:
704:
688:
687:
683:
673:
672:
668:
655:
654:
650:
642:
641:
637:
628:
627:
623:
611:
610:
606:
596:
595:
591:
577:
576:
572:
561:
546:
544:
543:
538:
536:
529:
521:
515:
510:
502:
496:
495:
491:
475:
467:
463:
455:
451:
443:
439:
431:
427:
419:
402:
400:
399:
394:
392:
385:
377:
371:
366:
358:
352:
351:
347:
331:
323:
319:
311:
307:
299:
295:
287:
283:
275:
220:
218:
217:
212:
184:
182:
181:
176:
97:
95:
94:
89:
61:rational numbers
45:tonality diamond
4264:
4263:
4259:
4258:
4257:
4255:
4254:
4253:
4234:
4233:
4232:
4227:
4201:
4145:
4121:
4115:
4078:
4068:
4064:Double diatonic
4051:Just intonation
4045:
3967:
3933:
3923:
3917:
3861:
3847:
3793:Joel Mandelbaum
3723:Julián Carrillo
3703:Richard Barrett
3691:
3686:
3656:
3651:
3642:
3613:Lattice (music)
3584:
3579:
3549:
3544:
3541:(Bohlen–Pierce)
3509:833 cents scale
3497:
3420:
3410:
3377:
3330:
3228:
3149:Just intonation
3143:
3072:
3070:Musical tunings
3067:
3037:
3032:
3018:
3002:
2959:
2950:
2923:
2905:
2900:
2870:
2869:
2854:
2853:
2849:
2844:
2835:
2820:
2816:
2799:
2795:
2782:
2778:
2761:
2754:
2749:
2736:Lattice (music)
2732:
2721:
2717:
2716:
2706:harmonic series
2699:
2668:
2656:
2646:
2645:
2568:
2567:
2549:
2535:
2531:
2530:
2525:
2521:
2520:
2515:
2511:
2510:
2505:
2501:
2500:
2492:
2488:
2487:
2482:
2478:
2477:
2472:
2468:
2467:
2462:
2458:
2457:
2452:
2448:
2447:
2377:
2373:
2372:
2366:
2362:
2361:
2355:
2351:
2350:
2344:
2340:
2339:
2333:
2329:
2328:
2322:
2318:
2317:
2311:
2307:
2306:
2300:
2296:
2295:
2249:
2243:
2219:
2196:
2192:
2191:
2169:
2165:
2164:
2156:
2152:
2151:
2131:
2127:
2126:
2118:
2114:
2113:
2105:
2101:
2100:
2082:
2078:
2077:
2069:
2065:
2064:
2056:
2052:
2051:
2043:
2039:
2038:
2022:
2018:
2017:
2009:
2005:
2004:
1996:
1992:
1991:
1983:
1979:
1978:
1970:
1966:
1965:
1951:
1947:
1946:
1938:
1934:
1933:
1925:
1921:
1920:
1912:
1908:
1907:
1899:
1895:
1894:
1886:
1882:
1881:
1869:
1865:
1864:
1856:
1852:
1851:
1843:
1839:
1838:
1830:
1826:
1825:
1817:
1813:
1812:
1804:
1800:
1799:
1791:
1787:
1786:
1776:
1772:
1771:
1763:
1759:
1758:
1750:
1746:
1745:
1737:
1733:
1732:
1724:
1720:
1719:
1711:
1707:
1706:
1698:
1694:
1693:
1685:
1681:
1680:
1672:
1668:
1667:
1659:
1655:
1654:
1646:
1642:
1641:
1633:
1629:
1628:
1620:
1616:
1615:
1607:
1603:
1602:
1594:
1590:
1589:
1579:
1575:
1574:
1566:
1562:
1561:
1553:
1549:
1548:
1540:
1536:
1535:
1527:
1523:
1522:
1514:
1510:
1509:
1497:
1493:
1492:
1484:
1480:
1479:
1471:
1467:
1466:
1458:
1454:
1453:
1445:
1441:
1440:
1426:
1422:
1421:
1413:
1409:
1408:
1400:
1396:
1395:
1387:
1383:
1382:
1366:
1362:
1361:
1353:
1349:
1348:
1340:
1336:
1335:
1317:
1313:
1312:
1304:
1300:
1299:
1279:
1275:
1274:
1255:
1241:Tonal basis of
1235:
1213:
1209:
1208:
1188:
1184:
1183:
1173:
1169:
1168:
1152:
1148:
1147:
1137:
1133:
1132:
1122:
1118:
1117:
1106:
1102:
1101:
1093:
1089:
1088:
1080:
1076:
1075:
1066:
1062:
1061:
1049:
1045:
1044:
1034:
1030:
1029:
1019:
1015:
1014:
998:
994:
993:
983:
979:
978:
958:
954:
953:
941:
915:
911:
910:
909:
907:
906:
905:
886:
882:
881:
880:
878:
877:
876:
863:
859:
858:
857:
855:
854:
853:
841:
837:
836:
828:
824:
823:
810:
806:
805:
804:
802:
801:
800:
785:
781:
780:
779:
777:
776:
775:
762:
758:
757:
756:
754:
753:
752:
735:
731:
730:
729:
727:
726:
725:
706:
702:
701:
685:
681:
680:
670:
666:
665:
652:
648:
647:
639:
635:
634:
625:
621:
620:
608:
604:
603:
593:
589:
588:
574:
570:
569:
559:
534:
533:
514:
493:
492:
476:
464:
452:
440:
428:
409:
408:
390:
389:
370:
349:
348:
332:
320:
308:
296:
284:
265:
264:
247:interval ratios
235:
227:diamond marimba
191:
190:
155:
154:
147:
68:
67:
17:
12:
11:
5:
4262:
4260:
4252:
4251:
4246:
4236:
4235:
4229:
4228:
4226:
4225:
4220:
4215:
4209:
4207:
4203:
4202:
4200:
4199:
4192:
4185:
4178:
4171:
4166:
4161:
4153:
4151:
4147:
4146:
4144:
4143:
4138:
4131:
4125:
4123:
4117:
4116:
4114:
4113:
4108:
4106:Xenharmonicity
4103:
4098:
4093:
4088:
4082:
4080:
4074:
4073:
4070:
4069:
4067:
4066:
4061:
4055:
4053:
4047:
4046:
4044:
4043:
4038:
4033:
4028:
4023:
4018:
4013:
4008:
4003:
3998:
3993:
3988:
3983:
3977:
3975:
3969:
3968:
3966:
3965:
3959:
3954:
3949:
3944:
3938:
3936:
3925:
3919:
3918:
3916:
3915:
3910:
3905:
3900:
3895:
3890:
3888:Adriaan Fokker
3885:
3880:
3875:
3869:
3867:
3863:
3862:
3850:
3848:
3846:
3845:
3843:La Monte Young
3840:
3835:
3830:
3825:
3820:
3815:
3810:
3808:John Schneider
3805:
3800:
3795:
3790:
3785:
3780:
3775:
3770:
3765:
3760:
3755:
3753:Bjørn Fongaard
3750:
3745:
3740:
3735:
3733:Mildred Couper
3730:
3725:
3720:
3715:
3710:
3705:
3699:
3697:
3693:
3692:
3687:
3685:
3684:
3677:
3670:
3662:
3653:
3652:
3645:
3643:
3641:
3640:
3635:
3630:
3625:
3620:
3615:
3610:
3605:
3600:
3595:
3589:
3586:
3585:
3580:
3578:
3577:
3570:
3563:
3555:
3546:
3545:
3543:
3542:
3536:
3531:
3526:
3521:
3516:
3511:
3505:
3503:
3499:
3498:
3496:
3495:
3490:
3485:
3475:
3470:
3465:
3464:
3463:
3458:
3453:
3448:
3440:
3435:
3430:
3424:
3422:
3416:
3415:
3412:
3411:
3385:
3383:
3379:
3378:
3376:
3375:
3370:
3365:
3360:
3355:
3340:
3338:
3332:
3331:
3329:
3328:
3323:
3318:
3313:
3308:
3303:
3298:
3293:
3283:
3278:
3273:
3268:
3263:
3258:
3253:
3247:
3245:
3236:
3230:
3229:
3227:
3226:
3221:
3216:
3211:
3206:
3201:
3196:
3191:
3190:
3189:
3184:
3174:
3169:
3164:
3162:Harmonic scale
3159:
3153:
3151:
3145:
3144:
3142:
3141:
3136:
3131:
3126:
3121:
3116:
3111:
3109:Interval ratio
3106:
3101:
3096:
3091:
3086:
3080:
3078:
3074:
3073:
3068:
3066:
3065:
3058:
3051:
3043:
3034:
3033:
3023:
3020:
3019:
3017:
3016:
3010:
3008:
3004:
3003:
3001:
3000:
2995:
2990:
2989:
2988:
2978:
2973:
2967:
2965:
2961:
2960:
2953:
2951:
2949:
2948:
2940:
2931:
2929:
2925:
2924:
2922:
2921:
2916:
2910:
2907:
2906:
2901:
2899:
2898:
2891:
2884:
2876:
2868:
2867:
2864:on 2018-04-02.
2847:
2833:
2814:
2793:
2776:
2751:
2750:
2748:
2745:
2744:
2743:
2738:
2731:
2728:
2698:
2695:
2675:
2671:
2663:
2659:
2655:
2642:
2641:
2630:
2627:
2624:
2621:
2618:
2613:
2610:
2607:
2601:
2598:
2595:
2591:
2587:
2584:
2581:
2578:
2575:
2548:
2545:
2544:
2543:
2540:
2497:
2441:
2440:
2438:
2435:
2432:
2429:
2426:
2423:
2420:
2417:
2415:
2411:
2410:
2407:
2404:
2401:
2398:
2395:
2392:
2389:
2386:
2382:
2381:
2370:
2359:
2348:
2337:
2326:
2315:
2304:
2293:
2289:
2288:
2279:
2278:
2271:
2268:
2247:Farey sequence
2242:
2239:
2218:
2215:
2201:
2200:
2189:
2187:
2185:
2183:
2181:
2179:
2177:
2174:
2173:
2162:
2160:
2149:
2147:
2145:
2143:
2141:
2139:
2136:
2135:
2124:
2122:
2111:
2109:
2098:
2096:
2094:
2092:
2090:
2087:
2086:
2075:
2073:
2062:
2060:
2049:
2047:
2036:
2034:
2032:
2030:
2027:
2026:
2015:
2013:
2002:
2000:
1989:
1987:
1976:
1974:
1963:
1961:
1959:
1956:
1955:
1944:
1942:
1931:
1929:
1918:
1916:
1905:
1903:
1892:
1890:
1879:
1877:
1874:
1873:
1862:
1860:
1849:
1847:
1836:
1834:
1823:
1821:
1810:
1808:
1797:
1795:
1784:
1781:
1780:
1769:
1767:
1756:
1754:
1743:
1741:
1730:
1728:
1717:
1715:
1704:
1702:
1691:
1689:
1677:
1676:
1665:
1663:
1652:
1650:
1639:
1637:
1626:
1624:
1613:
1611:
1600:
1598:
1587:
1584:
1583:
1572:
1570:
1559:
1557:
1546:
1544:
1533:
1531:
1520:
1518:
1507:
1505:
1502:
1501:
1490:
1488:
1477:
1475:
1464:
1462:
1451:
1449:
1438:
1436:
1434:
1431:
1430:
1419:
1417:
1406:
1404:
1393:
1391:
1380:
1378:
1376:
1374:
1371:
1370:
1359:
1357:
1346:
1344:
1333:
1331:
1329:
1327:
1325:
1322:
1321:
1310:
1308:
1297:
1295:
1293:
1291:
1289:
1287:
1284:
1283:
1272:
1270:
1268:
1266:
1264:
1262:
1260:
1254:
1251:
1234:
1231:
1225:
1224:
1222:
1220:
1218:
1205:
1203:
1201:
1198:
1197:
1195:
1193:
1180:
1178:
1165:
1163:
1160:
1159:
1157:
1144:
1142:
1129:
1127:
1114:
1111:
1110:
1099:
1097:
1086:
1084:
1073:
1071:
1057:
1056:
1054:
1041:
1039:
1026:
1024:
1011:
1008:
1007:
1005:
1003:
990:
988:
975:
973:
970:
969:
967:
965:
963:
950:
948:
946:
940:
937:
927:
926:
924:
903:
901:
898:
897:
895:
874:
872:
851:
848:
847:
845:
834:
832:
821:
819:
797:
796:
794:
773:
771:
750:
747:
746:
744:
723:
721:
714:
713:
711:
698:
696:
693:
692:
690:
677:
675:
662:
659:
658:
656:
645:
643:
632:
630:
616:
615:
613:
600:
598:
585:
582:
581:
579:
566:
564:
558:
555:
532:
527:
524:
519:
516:
513:
508:
505:
500:
497:
494:
490:
487:
484:
481:
477:
473:
470:
465:
461:
458:
453:
449:
446:
441:
437:
434:
429:
425:
422:
417:
416:
388:
383:
380:
375:
372:
369:
364:
361:
356:
353:
350:
346:
343:
340:
337:
333:
329:
326:
321:
317:
314:
309:
305:
302:
297:
293:
290:
285:
281:
278:
273:
272:
239:numerary nexus
234:
233:Numerary nexus
231:
210:
207:
204:
201:
198:
174:
171:
168:
165:
162:
146:
143:
87:
84:
81:
78:
75:
15:
13:
10:
9:
6:
4:
3:
2:
4261:
4250:
4247:
4245:
4242:
4241:
4239:
4224:
4221:
4219:
4216:
4214:
4211:
4210:
4208:
4204:
4198:
4197:
4193:
4191:
4190:
4186:
4184:
4183:
4179:
4177:
4176:
4172:
4170:
4167:
4165:
4162:
4160:
4159:
4155:
4154:
4152:
4148:
4142:
4139:
4137:
4136:
4132:
4130:
4127:
4126:
4124:
4118:
4112:
4109:
4107:
4104:
4102:
4099:
4097:
4094:
4092:
4089:
4087:
4084:
4083:
4081:
4075:
4065:
4062:
4060:
4057:
4056:
4054:
4052:
4048:
4042:
4039:
4037:
4034:
4032:
4029:
4027:
4024:
4022:
4019:
4017:
4014:
4012:
4009:
4007:
4004:
4002:
3999:
3997:
3994:
3992:
3989:
3987:
3984:
3982:
3979:
3978:
3976:
3974:
3970:
3963:
3960:
3958:
3955:
3953:
3950:
3948:
3945:
3943:
3940:
3939:
3937:
3935:
3929:
3926:
3920:
3914:
3911:
3909:
3906:
3904:
3901:
3899:
3896:
3894:
3891:
3889:
3886:
3884:
3881:
3879:
3876:
3874:
3871:
3870:
3868:
3864:
3859:
3854:
3844:
3841:
3839:
3836:
3834:
3833:Elaine Walker
3831:
3829:
3828:Claude Vivier
3826:
3824:
3821:
3819:
3816:
3814:
3811:
3809:
3806:
3804:
3803:Roger Redgate
3801:
3799:
3796:
3794:
3791:
3789:
3786:
3784:
3783:Stu Mackenzie
3781:
3779:
3778:György Ligeti
3776:
3774:
3771:
3769:
3766:
3764:
3761:
3759:
3756:
3754:
3751:
3749:
3746:
3744:
3741:
3739:
3736:
3734:
3731:
3729:
3726:
3724:
3721:
3719:
3716:
3714:
3711:
3709:
3706:
3704:
3701:
3700:
3698:
3694:
3690:
3683:
3678:
3676:
3671:
3669:
3664:
3663:
3660:
3649:
3639:
3636:
3634:
3631:
3629:
3626:
3624:
3621:
3619:
3616:
3614:
3611:
3609:
3606:
3604:
3601:
3599:
3596:
3594:
3593:Chordal space
3591:
3590:
3587:
3583:
3576:
3571:
3569:
3564:
3562:
3557:
3556:
3553:
3540:
3537:
3535:
3532:
3530:
3527:
3525:
3522:
3520:
3517:
3515:
3512:
3510:
3507:
3506:
3504:
3500:
3494:
3491:
3489:
3486:
3483:
3482:Carnatic raga
3479:
3476:
3474:
3471:
3469:
3466:
3462:
3459:
3457:
3454:
3452:
3451:Turkish makam
3449:
3447:
3444:
3443:
3441:
3439:
3436:
3434:
3431:
3429:
3426:
3425:
3423:
3417:
3408:
3404:
3400:
3396:
3392:
3388:
3384:
3380:
3374:
3371:
3369:
3366:
3364:
3361:
3359:
3356:
3353:
3349:
3348:quarter-comma
3345:
3342:
3341:
3339:
3337:
3333:
3327:
3324:
3322:
3319:
3317:
3314:
3312:
3309:
3307:
3304:
3302:
3299:
3297:
3294:
3291:
3287:
3284:
3282:
3279:
3277:
3274:
3272:
3269:
3267:
3264:
3262:
3259:
3257:
3254:
3252:
3249:
3248:
3246:
3244:
3240:
3237:
3235:
3231:
3225:
3224:Tonality flux
3222:
3220:
3217:
3215:
3212:
3210:
3207:
3205:
3202:
3200:
3197:
3195:
3192:
3188:
3185:
3183:
3180:
3179:
3178:
3175:
3173:
3170:
3168:
3165:
3163:
3160:
3158:
3155:
3154:
3152:
3150:
3146:
3140:
3137:
3135:
3132:
3130:
3127:
3125:
3122:
3120:
3117:
3115:
3112:
3110:
3107:
3105:
3102:
3100:
3097:
3095:
3092:
3090:
3087:
3085:
3082:
3081:
3079:
3075:
3071:
3064:
3059:
3057:
3052:
3050:
3045:
3044:
3041:
3031:
3021:
3015:
3012:
3011:
3009:
3005:
2999:
2998:Tonality flux
2996:
2994:
2991:
2987:
2984:
2983:
2982:
2979:
2977:
2974:
2972:
2971:43-tone scale
2969:
2968:
2966:
2962:
2957:
2946:
2945:
2941:
2938:
2937:
2933:
2932:
2930:
2926:
2920:
2917:
2915:
2914:List of works
2912:
2911:
2908:
2904:
2897:
2892:
2890:
2885:
2883:
2878:
2877:
2874:
2863:
2859:
2858:
2851:
2848:
2842:
2840:
2838:
2834:
2830:
2829:
2824:
2818:
2815:
2811:
2810:9781580464956
2807:
2803:
2797:
2794:
2790:
2786:
2780:
2777:
2773:
2772:90-5755-065-2
2769:
2765:
2759:
2757:
2753:
2746:
2742:
2741:Tonality flux
2739:
2737:
2734:
2733:
2729:
2727:
2713:
2711:
2707:
2703:
2696:
2694:
2691:
2673:
2669:
2661:
2657:
2653:
2628:
2622:
2616:
2611:
2608:
2605:
2599:
2596:
2593:
2589:
2585:
2579:
2573:
2566:
2565:
2564:
2562:
2558:
2554:
2546:
2541:
2498:
2445:
2444:
2439:
2416:
2413:
2412:
2384:
2383:
2291:
2290:
2285:
2282:
2281:For example:
2276:
2272:
2269:
2266:
2262:
2258:
2254:
2253:
2252:
2248:
2240:
2238:
2236:
2232:
2231:cuboctahedron
2228:
2224:
2216:
2210:
2206:
2190:
2188:
2186:
2184:
2182:
2180:
2178:
2176:
2175:
2163:
2161:
2150:
2148:
2146:
2144:
2142:
2140:
2138:
2137:
2125:
2123:
2112:
2110:
2099:
2097:
2095:
2093:
2091:
2089:
2088:
2076:
2074:
2063:
2061:
2050:
2048:
2037:
2035:
2033:
2031:
2029:
2028:
2016:
2014:
2003:
2001:
1990:
1988:
1977:
1975:
1964:
1962:
1960:
1958:
1957:
1945:
1943:
1932:
1930:
1919:
1917:
1906:
1904:
1893:
1891:
1880:
1878:
1876:
1875:
1863:
1861:
1850:
1848:
1837:
1835:
1824:
1822:
1811:
1809:
1798:
1796:
1785:
1783:
1782:
1770:
1768:
1757:
1755:
1744:
1742:
1731:
1729:
1718:
1716:
1705:
1703:
1692:
1690:
1679:
1678:
1666:
1664:
1653:
1651:
1640:
1638:
1627:
1625:
1614:
1612:
1601:
1599:
1588:
1586:
1585:
1573:
1571:
1560:
1558:
1547:
1545:
1534:
1532:
1521:
1519:
1508:
1506:
1504:
1503:
1491:
1489:
1478:
1476:
1465:
1463:
1452:
1450:
1439:
1437:
1435:
1433:
1432:
1420:
1418:
1407:
1405:
1394:
1392:
1381:
1379:
1377:
1375:
1373:
1372:
1360:
1358:
1347:
1345:
1334:
1332:
1330:
1328:
1326:
1324:
1323:
1311:
1309:
1298:
1296:
1294:
1292:
1290:
1288:
1286:
1285:
1273:
1271:
1269:
1267:
1265:
1263:
1261:
1259:
1258:
1252:
1250:
1244:
1239:
1232:
1230:
1223:
1221:
1219:
1217:
1206:
1204:
1202:
1200:
1199:
1196:
1194:
1192:
1181:
1179:
1177:
1166:
1164:
1162:
1161:
1158:
1156:
1145:
1143:
1141:
1130:
1128:
1126:
1115:
1113:
1112:
1100:
1098:
1087:
1085:
1074:
1072:
1070:
1059:
1058:
1055:
1053:
1042:
1040:
1038:
1027:
1025:
1023:
1012:
1010:
1009:
1006:
1004:
1002:
991:
989:
987:
976:
974:
972:
971:
968:
966:
964:
962:
951:
949:
947:
945:
944:
938:
936:
934:
925:
920:
904:
902:
900:
899:
896:
891:
875:
873:
868:
852:
850:
849:
846:
835:
833:
822:
820:
815:
799:
798:
795:
790:
774:
772:
767:
751:
749:
748:
745:
740:
724:
722:
720:
719:
712:
710:
699:
697:
695:
694:
691:
689:
678:
676:
674:
663:
661:
660:
657:
646:
644:
633:
631:
629:
618:
617:
614:
612:
601:
599:
597:
586:
584:
583:
580:
578:
567:
565:
563:
562:
556:
554:
552:
547:
525:
522:
506:
503:
488:
471:
468:
459:
456:
447:
444:
435:
432:
423:
420:
406:
403:
381:
378:
362:
359:
344:
327:
324:
315:
312:
303:
300:
291:
288:
279:
276:
262:
260:
256:
252:
248:
244:
240:
232:
230:
228:
224:
208:
205:
202:
199:
196:
188:
172:
169:
166:
163:
160:
152:
144:
142:
140:
136:
132:
128:
124:
120:
119:pitch classes
116:
113:
109:
105:
101:
85:
82:
79:
76:
73:
65:
62:
58:
54:
50:
46:
42:
38:
30:
26:
21:
4244:Harry Partch
4206:Other topics
4194:
4187:
4180:
4173:
4156:
4150:Compositions
4133:
4122:publications
4110:
4077:Concepts and
3962:Lambda scale
3903:Harry Partch
3898:Yuri Landman
3893:Lou Harrison
3878:Wendy Carlos
3873:Glenn Branca
3773:Ben Johnston
3768:Charles Ives
3728:Franklin Cox
3718:Heinz Bohlen
3632:
3539:Lambda scale
3446:Arabic maqam
3403:Werckmeister
3234:Temperaments
3218:
2992:
2942:
2934:
2903:Harry Partch
2862:the original
2856:
2850:
2826:
2817:
2801:
2796:
2788:
2779:
2763:
2714:
2712:instrument.
2702:Yuri Landman
2700:
2643:
2552:
2550:
2280:
2274:
2250:
2220:
2204:
1248:
1243:Harry Partch
1228:
930:
551:Harry Partch
548:
407:
404:
263:
238:
236:
186:
148:
139:Harry Partch
114:
107:
63:
44:
37:music theory
34:
29:Harry Partch
4249:Pitch space
4169:just pieces
3957:Delta scale
3952:Gamma scale
3942:Alpha scale
3932:Non-octave-
3922:Tunings and
3883:Ivor Darreg
3708:BĂ©la BartĂłk
3582:Pitch space
3534:Delta scale
3529:Gamma scale
3519:Alpha scale
3421:non-Western
3419:Traditional
3114:Pitch class
3094:Millioctave
3077:Measurement
2710:Moodswinger
2265:denominator
935:(1, 3, 5).
255:denominator
223:Otonalities
131:consonances
104:denominator
55:. Thus the
4238:Categories
4120:Groups and
4079:techniques
3947:Beta scale
3798:Joe Maneri
3758:Alois Hába
3738:John Eaton
3524:Beta scale
3502:Non-octave
3493:Tetrachord
3395:Kirnberger
3358:Schismatic
2747:References
2277:in ratios.
2235:Erv Wilson
933:identities
187:multiplied
112:odd number
4101:Sonido 13
3866:Inventors
3818:Ezra Sims
3696:Composers
3514:A12 scale
3468:Octoechos
3433:ShĂ-èr-lÇś
3382:Irregular
3199:Otonality
3139:Microtone
2658:π
2617:ϕ
2590:∑
2261:numerator
259:Otonality
251:numerator
249:in their
200:≤
164:≤
100:numerator
77:≤
4096:Semitone
3399:Vallotti
3352:septimal
3344:Meantone
3104:Interval
3030:Category
2730:See also
1253:15-limit
1233:11-limit
243:identity
102:and the
3638:Tonnetz
3488:Slendro
3438:Dastgah
3363:Miracle
3326:96-tone
3321:72-tone
3316:58-tone
3311:53-tone
3306:41-tone
3301:34-tone
3296:31-tone
3286:24-tone
3281:23-tone
3276:22-tone
3271:19-tone
3266:17-tone
3261:15-tone
3256:12-tone
3187:7-limit
3182:5-limit
3007:Related
2720:⁄
2534:⁄
2524:⁄
2514:⁄
2504:⁄
2491:⁄
2481:⁄
2471:⁄
2461:⁄
2451:⁄
2437:315.64
2431:111.73
2428:203.91
2425:111.73
2419:315.64
2406:884.36
2403:813.69
2400:701.96
2397:498.04
2394:386.31
2391:315.64
2376:⁄
2365:⁄
2354:⁄
2343:⁄
2332:⁄
2321:⁄
2310:⁄
2299:⁄
2227:hexagon
2195:⁄
2168:⁄
2155:⁄
2130:⁄
2117:⁄
2104:⁄
2081:⁄
2068:⁄
2055:⁄
2042:⁄
2021:⁄
2008:⁄
1995:⁄
1982:⁄
1969:⁄
1950:⁄
1937:⁄
1924:⁄
1911:⁄
1898:⁄
1885:⁄
1868:⁄
1855:⁄
1842:⁄
1829:⁄
1816:⁄
1803:⁄
1790:⁄
1775:⁄
1762:⁄
1749:⁄
1736:⁄
1723:⁄
1710:⁄
1697:⁄
1684:⁄
1671:⁄
1658:⁄
1645:⁄
1632:⁄
1619:⁄
1606:⁄
1593:⁄
1578:⁄
1565:⁄
1552:⁄
1539:⁄
1526:⁄
1513:⁄
1496:⁄
1483:⁄
1470:⁄
1457:⁄
1444:⁄
1425:⁄
1412:⁄
1399:⁄
1386:⁄
1365:⁄
1352:⁄
1339:⁄
1316:⁄
1303:⁄
1278:⁄
1212:⁄
1187:⁄
1172:⁄
1151:⁄
1136:⁄
1121:⁄
1105:⁄
1092:⁄
1079:⁄
1065:⁄
1048:⁄
1033:⁄
1018:⁄
997:⁄
982:⁄
957:⁄
939:7-limit
914:⁄
885:⁄
862:⁄
840:⁄
827:⁄
809:⁄
784:⁄
761:⁄
734:⁄
705:⁄
684:⁄
669:⁄
651:⁄
638:⁄
624:⁄
607:⁄
592:⁄
573:⁄
557:5-limit
151:rhombus
57:n-limit
4175:Mother
3924:scales
3813:Sevish
3456:Mugham
3442:Maqam
3336:Linear
3290:pieces
3251:6-tone
3172:Hexany
3099:Savart
2964:Topics
2947:(1966)
2939:(1949)
2808:
2770:
2603:
2434:70.67
2422:70.67
2414:Width
2385:Cents
2292:Ratio
241:is an
127:octave
49:ratios
41:tuning
4086:Limit
3473:Pelog
3461:Muqam
3407:Young
3368:Magic
3243:Equal
3177:Limit
3084:Pitch
2928:Works
2555:) is
2551:If φ(
2486:) is
2466:(and
2409:1200
3478:Raga
3089:Cent
2812:>
2806:ISBN
2768:ISBN
2597:<
2529:and
2509:and
2476:and
2456:and
2263:and
206:<
170:<
83:<
43:, a
39:and
23:The
2825:",
2787:",
2275:not
253:or
106:of
35:In
4240::
4041:96
4036:72
4031:58
4026:53
4021:41
4016:34
4011:31
4006:24
4001:23
3996:22
3991:19
3986:17
3981:15
3405:,
3401:,
3397:,
3350:,
2836:^
2755:^
2493:24
2489:25
2388:0
2197:15
2193:16
2106:13
2102:16
2083:15
2079:22
2066:10
2057:13
2053:18
2006:11
1997:13
1993:20
1971:11
1967:16
1952:15
1948:26
1935:12
1926:13
1922:22
1900:11
1896:18
1870:15
1866:28
1853:13
1844:13
1840:24
1827:11
1818:11
1814:20
1788:16
1673:14
1669:15
1660:13
1656:14
1647:12
1643:13
1634:11
1630:12
1621:10
1617:11
1604:10
1580:13
1576:15
1554:11
1550:13
1524:11
1485:11
1481:14
1472:10
1468:13
1442:11
1427:11
1423:15
1397:13
1350:14
1337:13
1276:15
1185:10
1149:12
237:A
66:,
3681:e
3674:t
3667:v
3574:e
3567:t
3560:v
3484:)
3480:(
3409:)
3393:(
3389:/
3354:)
3346:(
3292:)
3288:(
3062:e
3055:t
3048:v
2895:e
2888:t
2881:v
2821:"
2774:.
2722:4
2718:5
2674:2
2670:n
2662:2
2654:2
2629:.
2626:)
2623:m
2620:(
2612:d
2609:d
2606:o
2600:n
2594:m
2586:=
2583:)
2580:n
2577:(
2574:d
2553:n
2536:4
2532:5
2526:5
2522:6
2516:2
2512:3
2506:3
2502:4
2496:.
2483:3
2479:5
2473:5
2469:8
2463:4
2459:5
2453:5
2449:6
2378:1
2374:2
2367:3
2363:5
2356:5
2352:8
2345:2
2341:3
2334:3
2330:4
2323:4
2319:5
2312:5
2308:6
2301:1
2297:1
2267:.
2170:5
2166:6
2157:7
2153:8
2132:3
2128:4
2119:7
2115:9
2070:7
2044:3
2040:4
2023:5
2019:8
2010:7
1984:2
1980:3
1939:7
1913:3
1909:5
1887:5
1883:8
1857:7
1831:6
1805:5
1801:9
1792:9
1777:1
1773:1
1764:1
1760:1
1751:1
1747:1
1738:1
1734:1
1725:1
1721:1
1712:1
1708:1
1699:1
1695:1
1686:1
1682:1
1608:9
1595:8
1591:9
1567:6
1563:7
1541:5
1537:6
1528:9
1515:4
1511:5
1498:4
1494:5
1459:3
1455:4
1446:8
1414:5
1410:7
1401:9
1388:2
1384:3
1367:2
1363:3
1354:9
1341:8
1318:3
1314:5
1305:4
1301:7
1280:8
1214:7
1210:8
1189:7
1174:3
1170:4
1153:7
1138:3
1134:5
1123:5
1119:8
1107:1
1103:1
1094:1
1090:1
1081:1
1077:1
1067:1
1063:1
1050:6
1046:7
1035:5
1031:6
1020:4
1016:5
999:5
995:7
984:2
980:3
959:4
955:7
916:3
912:4
887:3
883:5
864:5
860:8
842:1
838:1
829:1
825:1
811:1
807:1
786:5
782:6
763:4
759:5
736:2
732:3
707:3
703:4
686:3
682:5
671:5
667:8
653:1
649:1
640:1
636:1
626:1
622:1
609:5
605:6
594:4
590:5
575:2
571:3
531:)
526:5
523:8
518:(
512:)
507:3
504:4
499:(
489:.
486:c
483:t
480:e
472:5
469:1
460:4
457:1
448:3
445:1
436:2
433:1
424:1
421:1
387:)
382:4
379:5
374:(
368:)
363:2
360:3
355:(
345:.
342:c
339:t
336:e
328:1
325:5
316:1
313:4
304:1
301:3
292:1
289:2
280:1
277:1
209:2
203:r
197:1
173:2
167:r
161:1
115:n
108:r
86:2
80:r
74:1
64:r
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
