Scala analysis: buzurg10decoid
buzurg_al-erin10 in decoid temperament, POTE tuning
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 128.917 cents 128.916790 2: 231.083 cents 231.083210 3: 360.000 cents 360.000000 4: 497.834 cents 497.833590 5: 626.750 cents 626.750380 6: 702.166 cents 702.166410 7: 831.083 cents 831.083210 8: 933.250 cents 933.249620 9: 1062.166 cents 1062.166410 10: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 137.8336 cents 137.8336 1: 128.9168 cents 128.9168 2: 102.1664 cents 102.1664 3: 128.9168 cents 128.9168 4: 137.8336 cents 137.8336 5: 128.9168 cents 128.9168 6: 75.4160 cents 75.4160 7: 128.9168 cents 128.9168 8: 102.1664 cents 102.1664 9: 128.9168 cents 128.9168 10: 137.8336 cents 137.8336
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 75.41603 cents 1: 2 102.16642 cents 1: 5 128.91679 cents 1: 2 137.83359 cents 2: 2 204.33282 cents 2: 4 231.08321 cents 2: 4 266.75038 cents 3: 1 306.49924 cents 3: 1 333.24962 cents 3: 1 342.16641 cents 3: 2 360.00000 cents 3: 3 368.91680 cents 3: 2 395.66717 cents 4: 2 435.41603 cents 4: 2 471.08320 cents 4: 6 497.83359 cents 5: 1 564.33282 cents 5: 3 573.24962 cents 5: 2 600.00000 cents 5: 3 626.75038 cents 5: 1 635.66718 cents 6: 6 702.16641 cents 6: 2 728.91680 cents 6: 2 764.58397 cents 7: 2 804.33283 cents 7: 3 831.08321 cents 7: 2 840.00000 cents 7: 1 857.83359 cents 7: 1 866.75038 cents 7: 1 893.50076 cents 8: 4 933.24962 cents 8: 4 968.91679 cents 8: 2 995.66718 cents 9: 2 1062.16641 cents 9: 5 1071.08321 cents 9: 2 1097.83358 cents 9: 1 1124.58397 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 4.11111 = 37/9
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 0.0 : 128.9 231.1 360.0 497.8 626.8 702.2 831.1 933.2 1062.2 1200.0 128.9 : 102.2 231.1 368.9 497.8 573.2 702.2 804.3 933.2 1071.1 1200.0 231.1 : 128.9 266.8 395.7 471.1 600.0 702.2 831.1 968.9 1097.8 1200.0 360.0 : 137.8 266.8 342.2 471.1 573.2 702.2 840.0 968.9 1071.1 1200.0 497.8 : 128.9 204.3 333.2 435.4 564.3 702.2 831.1 933.2 1062.2 1200.0 626.8 : 75.4 204.3 306.5 435.4 573.2 702.2 804.3 933.2 1071.1 1200.0 702.2 : 128.9 231.1 360.0 497.8 626.8 728.9 857.8 995.7 1124.6 1200.0 831.1 : 102.2 231.1 368.9 497.8 600.0 728.9 866.8 995.7 1071.1 1200.0 933.2 : 128.9 266.8 395.7 497.8 626.8 764.6 893.5 968.9 1097.8 1200.0 1062.2: 137.8 266.8 368.9 497.8 635.7 764.6 840.0 968.9 1071.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 75.4160 .. 137.8336 cents 62.41756 cents 75.41603 cents 2: 204.3328 .. 266.7504 cents 62.41756 cents 66.49923 cents 3: 306.4992 .. 395.6672 cents 89.16793 cents 39.74886 cents 4: 435.4160 .. 497.8336 cents 62.41756 cents 39.74886 cents 5: 564.3328 .. 635.6672 cents 71.33436 cents 66.49923 cents 6: 702.1664 .. 764.5840 cents 62.41756 cents 66.49923 cents 7: 804.3328 .. 893.5008 cents 89.16793 cents 39.74886 cents 8: 933.2496 .. 995.6672 cents 62.41756 cents 39.74886 cents 9: 1062.1664 .. 1124.5840 cents 62.41756 cents 66.49923 cents
SHOW DATA
Number of notes : 10 -- Interval properties -- Smallest interval : 75.41603 cents, class 1 Average step (divided formal octave): 120.0000 cents Largest one step interval : 137.83359 cents Average / Smallest step : 1.591174 Largest / Average step : 1.148613 Largest / Smallest step : 1.827643 Median interval of one step : 128.91679 cents, amount: 5 Most common interval of one step : 128.91679 cents, amount: 5 Least squares average step : 119.09674 cents, oct.: 1190.96740 cents Scale is strictly proper Step pattern alph. order: ABACADABAC Step pattern size order : CBCDCACBCD Scale is a Constant Structure, by a margin of 39.74886 cents Scale diversity : 1.444347 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.479854 Rothenberg efficiency : 0.364921 redundancy: 0.635079 Efficiency x scale size : 3.649206 Number of different interval sizes : 37 = 4.11111 / class Number of one step interval sizes : 4 Highest interval variety : 6 Mean interval variety : 4.11111 = 37/9 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 8.91679 cents Most common intervals : 497.83359 cents & inv., amount: 6 Number of recognisable fifths : 6, average 702.1664 cents Scale contains two identical disjunct pentachords Formal octave complements present : 3 = 30.0000% -- Rational properties --
FIT/MODE
10: 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 16.1982 c. M:-26.7504 c. 17: 2 1 2 2 2 1 2 1 2 2 P D3 SD: 10.8802 c. M: 19.3185 c. 19: 2 2 2 2 2 1 2 2 2 2 SP M ME SD: 11.8170 c. M:-21.5484 c. 26: 3 2 3 3 3 1 3 2 3 3 P SD: 9.2264 c. M:-19.4035 c. 27: 3 2 3 3 3 2 3 2 3 3 SP D3 SD: 7.0504 c. M:-13.3612 c. 36: 4 3 4 4 4 2 4 3 4 4 SP SD: 3.8348 c. M:-6.6667 c. 63: 7 5 7 7 7 4 7 5 7 7 SP SD: 3.4009 c. M:-7.0120 c. 77: 8 7 8 9 8 5 8 7 8 9 SP SD: 2.7530 c. M: 5.1092 c. 84: 9 7 9 10 9 5 9 7 9 10 SP SD: 2.8412 c. M: 5.0236 c. 90: 10 7 10 10 10 6 9 8 10 10 SP SD: 3.4538 c. M:-4.5003 c. 94: 10 8 10 11 10 6 10 8 10 11 SP SD: 1.4644 c. M: 2.5919 c. 130: 14 11 14 15 14 8 14 11 14 15 SP SD: 0.5704 c. M:-0.9419 c. 234: 25 20 25 27 25 15 25 20 25 27 SP SD: 0.6086 c. M: 1.1094 c. 270: 29 23 29 31 29 17 29 23 29 31 SP SD: 0.0507 c. M:-0.0837 c. 940: 101 80 101 108 101 59 101 80 101 108 SP SD: 0.0352 c. M:-0.0581 c. 1210: 130 103 130 139 130 76 130 103 130 139 SP SD: 0.0160 c. M:-0.0265 c. 1480: 159 126 159 170 159 93 159 126 159 170 SP SD: 0.0039 c. M:-0.0064 c.
FIT/HARMONIC
1 x x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x 3 x x x 4 S SD: 0.1057 cents 3 x x x 4 x x x 5 x 6 S SD: 16.2971 cents 4 x x 5 x x 6 x 7 x 8 S SD: 11.0627 cents 5 x x 6 x 7 x 8 x 9:10 S SD: 15.7656 cents 6 x 7 x 8 x 9 x 10:11:12 S SD: 10.3214 cents 7 x 8 x 9:10 x 11:12:13:14 S SD: 11.4956 cents 8 x 9:10:11 x 12:13:14:15:16 S SD: 9.9433 cents 9 x 10:11:12:13:14 x 15:17:18 SD: 12.7874 cents 10:11 x 12:13:14:15:16:17:18:20 S SD: 10.9049 cents 12:13:14:15:16:17:18:19:21:22:24 SD: 7.2953 cents 13:14:15:16:17:19:20:21:22:24:26 SD: 6.8677 cents 14:15:16:17:19:20:21:23:24:26:28 SD: 5.0920 cents 21:23:24:26:28:30:32:34:36:39:42 SD: 4.2776 cents 26:28:30:32:35:37:39:42:45:48:52 SD: 3.2944 cents 34:37:39:42:45:49:51:55:58:63:68 SD: 2.6125 cents 36:39:41:44:48:52:54:58:62:66:72 SD: 2.5293 cents 39:42:45:48:52:56:59:63:67:72:78 SD: 2.2434 cents 42:45:48:52:56:60:63:68:72:78:84 SD: 1.9265 cents 48:52:55:59:64:69:72:78:82:89:96 SD: 1.7237 cents 52:56:59:64:69:75:78:84:89:96:104 SD: 1.6869 cents 60:65:69:74:80:86:90:97:103:111:120 SD: 1.5718 cents 62:67:71:76:83:89:93:100:106:115:124 SD: 1.5494 cents 64:69:73:79:85:92:96:103:110:118:128 SD: 1.2642 cents 76:82:87:94:101:109:114:123:130:140:152 SD: 1.2549 cents 78:84:89:96:104:112:117:126:134:144:156 SD: 0.4706 cents 156:168:178:192:208:224:234:252:267:288:312 SD: 0.4214 cents 182:196:208:224:243:261:273:294:312:336:364 SD: 0.3938 cents 195:210:223:240:260:280:293:315:334:360:390 SD: 0.3694 cents 204:220:233:251:272:293:306:330:350:377:408 SD: 0.3267 cents 216:233:247:266:288:310:324:349:370:399:432 SD: 0.3245 cents 234:252:267:288:312:336:351:378:401:432:468 SD: 0.3148 cents 273:294:312:336:364:392:410:441:468:504:546 SD: 0.2397 cents 294:317:336:362:392:422:441:475:504:543:588 SD: 0.1933 cents 364:392:416:448:485:523:546:588:624:672:728 SD: 0.1845 cents 372:401:425:458:496:534:558:601:638:687:744 SD: 0.1751 cents 399:430:456:491:532:573:599:645:684:737:798 SD: 0.1685 cents 477:514:545:587:636:685:716:771:818:881:954 SD: 0.1496 cents 490:528:560:603:653:704:735:792:840:905:980 SD: 0.1275 cents 532:573:608:655:709:764:798:860:912:983:1064 SD: 0.1162 cents 594:640:679:731:792:853:891:960:1018:1097:1188 SD: 0.1138 cents