Scala analysis: ozanwell
Ozan Yarmen well temperament
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 90.554 cents 90.554000 2: 196.200 cents 196.200000 3: 286.753 cents 286.753000 4: 392.399 cents 392.399000 5: 482.953 cents 482.953000 6: 588.599 cents 588.599000 7: 694.245 cents 694.245000 8: 784.798 cents 784.798000 9: 890.444 cents 890.444000 10: 980.998 cents 980.998000 11: 1086.644 cents 1086.644000 12: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 113.3560 cents 113.3560 1: 90.5540 cents 90.5540 2: 105.6460 cents 105.6460 3: 90.5530 cents 90.5530 4: 105.6460 cents 105.6460 5: 90.5540 cents 90.5540 6: 105.6460 cents 105.6460 7: 105.6460 cents 105.6460 8: 90.5530 cents 90.5530 9: 105.6460 cents 105.6460 10: 90.5540 cents 90.5540 11: 105.6460 cents 105.6460 12: 113.3560 cents 113.3560
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 90.55300 cents 1: 3 90.55400 cents 1: 6 105.64600 cents 1: 1 113.35600 cents 2: 4 196.19900 cents 2: 5 196.20000 cents 2: 1 203.91000 cents 2: 1 211.29200 cents 2: 1 219.00200 cents 3: 3 286.75300 cents 3: 3 301.84500 cents 3: 3 301.84600 cents 3: 3 309.55600 cents 4: 6 392.39900 cents 4: 1 400.10900 cents 4: 1 400.11000 cents 4: 1 407.49100 cents 4: 1 407.49200 cents 4: 2 415.20200 cents 5: 1 482.95300 cents 5: 6 498.04500 cents 5: 3 505.75500 cents 5: 2 505.75600 cents 6: 1 588.59800 cents 6: 2 588.59900 cents 6: 3 596.30900 cents 6: 3 603.69100 cents 6: 2 611.40100 cents 6: 1 611.40200 cents 7: 2 694.24400 cents 7: 3 694.24500 cents 7: 6 701.95500 cents 7: 1 717.04700 cents 8: 2 784.79800 cents 8: 1 792.50800 cents 8: 1 792.50900 cents 8: 1 799.89000 cents 8: 1 799.89100 cents 8: 6 807.60100 cents 9: 3 890.44400 cents 9: 3 898.15400 cents 9: 3 898.15500 cents 9: 3 913.24700 cents 10: 1 980.99800 cents 10: 1 988.70800 cents 10: 1 996.09000 cents 10: 5 1003.80000 cents 10: 4 1003.80100 cents 11: 1 1086.64400 cents 11: 6 1094.35400 cents 11: 3 1109.44600 cents 11: 2 1109.44700 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 4.72727 = 52/11
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 90.6 196.2 286.8 392.4 483.0 588.6 694.2 784.8 890.4 981.0 1086.6 1200.0 90.6 : 105.6 196.2 301.8 392.4 498.0 603.7 694.2 799.9 890.4 996.1 1109.4 1200.0 196.2 : 90.6 196.2 286.8 392.4 498.0 588.6 694.2 784.8 890.4 1003.8 1094.4 1200.0 286.8 : 105.6 196.2 301.8 407.5 498.0 603.7 694.2 799.9 913.2 1003.8 1109.4 1200.0 392.4 : 90.6 196.2 301.8 392.4 498.0 588.6 694.2 807.6 898.2 1003.8 1094.4 1200.0 483.0 : 105.6 211.3 301.8 407.5 498.0 603.7 717.0 807.6 913.2 1003.8 1109.4 1200.0 588.6 : 105.6 196.2 301.8 392.4 498.0 611.4 702.0 807.6 898.2 1003.8 1094.4 1200.0 694.2 : 90.6 196.2 286.8 392.4 505.8 596.3 702.0 792.5 898.2 988.7 1094.4 1200.0 784.8 : 105.6 196.2 301.8 415.2 505.8 611.4 702.0 807.6 898.2 1003.8 1109.4 1200.0 890.4 : 90.6 196.2 309.6 400.1 505.8 596.3 702.0 792.5 898.2 1003.8 1094.4 1200.0 981.0 : 105.6 219.0 309.6 415.2 505.8 611.4 702.0 807.6 913.2 1003.8 1109.4 1200.0 1086.6: 113.4 203.9 309.6 400.1 505.8 596.3 702.0 807.6 898.2 1003.8 1094.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 90.5530 .. 113.3560 cents 22.80300 cents 90.55300 cents 2: 196.1990 .. 219.0020 cents 22.80300 cents 82.84300 cents 3: 286.7530 .. 309.5560 cents 22.80300 cents 67.75100 cents 4: 392.3990 .. 415.2020 cents 22.80300 cents 82.84300 cents 5: 482.9530 .. 505.7560 cents 22.80300 cents 67.75100 cents 6: 588.5980 .. 611.4020 cents 22.80400 cents 82.84200 cents 7: 694.2440 .. 717.0470 cents 22.80300 cents 82.84200 cents 8: 784.7980 .. 807.6010 cents 22.80300 cents 67.75100 cents 9: 890.4440 .. 913.2470 cents 22.80300 cents 82.84300 cents 10: 980.9980 .. 1003.8010 cents 22.80300 cents 67.75100 cents 11: 1086.6440 .. 1109.4470 cents 22.80300 cents 82.84300 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 90.55300 cents, class 1 Average step (divided formal octave): 100.0000 cents Largest one step interval : 113.35600 cents Average / Smallest step : 1.104326 Largest / Average step : 1.133560 Largest / Smallest step : 1.251819 Median interval of one step : 105.64600 cents, amount: 6 Most common interval of one step : 105.64600 cents, amount: 6 Least squares average step : 98.72973 cents, oct.: 1184.75681 cents Scale is strictly proper Step pattern alph. order: ABCBABBCBABD Step pattern size order : BCACBCCACBCD Scale is a Constant Structure, by a margin of 67.75100 cents Scale diversity : 1.170644 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.790972 Rothenberg efficiency : 0.298479 redundancy: 0.701521 Efficiency x scale size : 3.581746 Number of different interval sizes : 52 = 4.72727 / class Number of one step interval sizes : 4 Highest interval variety : 6 Mean interval variety : 4.72727 = 52/11 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 0.00100 cents Number of recognisable fifths : 12, average 700.0000 cents Number of appreciable fifths : 11, average 698.4503 cents Best fifths form a closed circle Formal octave complements present : 1 = 8.3333% Limited inverse transpositions with margin 22.8030 cents: 5 10 11 -- Rational properties --
FIT/MODE
12: 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 11.7349 c. M:-19.0020 c. Twelve-tone Chromatic (1/11-comma) 28: 2 3 2 2 2 3 2 2 3 2 2 3 SP D3 SD: 10.9166 c. M:-18.0857 c. 30: 2 3 2 3 2 3 2 3 2 3 2 3 SP B ME SD: 10.4731 c. M:-19.0020 c. 31: 2 3 2 3 2 3 3 2 3 2 3 3 SP M ME SD: 9.8417 c. M: 18.4369 c. 34: 3 3 2 3 3 3 3 2 3 3 3 3 SP D3 S SD: 9.7768 c. M:-15.5647 c. 35: 3 3 2 3 3 3 3 3 3 3 3 3 SP M ME SD: 9.3387 c. M: 15.2561 c. 37: 3 3 3 3 3 3 3 3 3 3 3 4 SP M ME SD: 8.5904 c. M: 16.3737 c. 38: 3 3 3 3 3 4 3 3 3 3 3 4 SP B ME SD: 7.6331 c. M: 13.4516 c. Injera-12 42: 3 4 3 4 3 4 3 3 4 3 4 4 SP D3 SD: 7.0749 c. M: 13.3694 c. 43: 3 4 3 4 3 4 4 3 4 3 4 4 SP M ME SD: 4.4700 c. M: 8.5344 c. 53: 4 5 4 4 4 5 5 4 4 4 5 5 SP D3 SD: 6.1519 c. M:-7.6548 c. 54: 4 5 4 5 4 4 5 4 5 4 5 5 SP D3 S SD: 5.2256 c. M: 10.8212 c. 55: 4 5 4 5 4 5 5 4 5 4 5 5 SP M ME SD: 2.6012 c. M:-4.2651 c. 67: 5 6 5 6 5 6 6 5 6 5 6 6 SP M ME SD: 3.1183 c. M:-5.8933 c. 92: 7 8 7 8 7 8 8 7 8 7 8 9 SP T3 SD: 2.1272 c. M: 4.0353 c. 104: 8 9 8 9 8 9 9 8 9 8 9 10 SP T3 SD: 1.3125 c. M: 2.0286 c. 147: 11 13 11 13 11 13 13 11 13 11 13 14 SP SD: 0.8740 c. M: 1.4062 c. 159: 12 14 12 14 12 14 14 12 14 12 14 15 SP SD: 0.0873 c. M:-0.1485 c. 942: 71 83 71 83 71 83 83 71 83 71 83 89 SP SD: 0.0799 c. M: 0.1505 c. 1101: 83 97 83 97 83 97 97 83 97 83 97 104 SP SD: 0.0620 c. M: 0.1192 c. 1260: 95 111 95 111 95 111 111 95 111 95 111 119 SP SD: 0.0504 c. M: 0.0959 c. 1419: 107 125 107 125 107 125 125 107 125 107 125 134 SP SD: 0.0434 c. M: 0.0777 c. 1578: 119 139 119 139 119 139 139 119 139 119 139 149 SP SD: 0.0398 c. M: 0.0633 c. 1737: 131 153 131 153 131 153 153 131 153 131 153 164 SP SD: 0.0385 c. M:-0.0572 c. 1841: 139 162 139 162 139 162 162 139 162 139 162 174 SP SD: 0.0379 c. M: 0.0606 c. 2000: 151 176 151 176 151 176 176 151 176 151 176 189 SP SD: 0.0322 c. M:-0.0470 c. 2159: 163 190 163 190 163 190 190 163 190 163 190 204 SP SD: 0.0286 c. M:-0.0484 c. 2318: 175 204 175 204 175 204 204 175 204 175 204 219 SP SD: 0.0268 c. M:-0.0496 c.
FIT/HARMONIC
1 x x x x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x x 3 x x x x 4 S SD: 3.8550 cents 3 x x x x 4 x x x 5 x x 6 S SD: 5.4242 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 3.9102 cents 5 x x 6 x x 7 x 8 x 9 x 10 S SD: 11.0373 cents 6 x x 7 x 8 x 9 x 10 x 11:12 S SD: 7.6547 cents 7 x 8 x 9 x 10 x 11:12 x 13:14 S SD: 11.0013 cents 8 x 9 x 10 x 11:12 x 13:14:15:16 S SD: 8.0896 cents 9 x 10 x 11:12:13 x 14:15:16:17:18 S SD: 8.3264 cents 10 x 11:12 x 13:14:15:16:17:18:19:20 S SD: 7.9386 cents 11 x 12:13:14 x 15:16:17:18:19:21:22 SD: 11.0218 cents 12:13 x 14:15:16:17:18:19:20:21:22:24 S SD: 6.3789 cents 13:14 x 15:16:17:18:19:20:22:23:24:26 S SD: 8.6318 cents 15:16:17:18:19:20:21:22:24:25:26:28:30 S SD: 5.8684 cents 16:17:18:19:20:21:22:24:25:27:28:30:32 SD: 4.2113 cents 22:23:25:26:28:29:31:33:35:37:39:41:44 SD: 3.9050 cents 24:25:27:28:30:32:34:36:38:40:42:45:48 SD: 3.4210 cents 31:33:35:37:39:41:44:46:49:52:55:58:62 SD: 3.3066 cents 32:34:36:38:40:42:45:48:50:54:56:60:64 SD: 2.8463 cents 33:35:37:39:41:44:46:49:52:55:58:62:66 SD: 2.6545 cents 34:36:38:40:43:45:48:51:54:57:60:64:68 SD: 2.3585 cents 39:41:44:46:49:52:55:58:61:65:69:73:78 SD: 2.2021 cents 40:42:45:47:50:53:56:60:63:67:70:75:80 SD: 1.7971 cents 50:53:56:59:63:66:70:75:79:84:88:94:100 SD: 1.7120 cents 55:58:62:65:69:73:77:82:87:92:97:103:110 SD: 1.4794 cents 56:59:63:66:70:74:79:84:88:94:99:105:112 SD: 1.4145 cents 59:62:66:70:74:78:83:88:93:99:104:111:118 SD: 1.2299 cents 71:75:80:84:89:94:100:106:112:119:125:133:142 SD: 1.2068 cents 77:81:86:91:97:102:108:115:121:129:136:144:154 SD: 1.0240 cents 89:94:100:105:112:118:125:133:140:149:157:167:178 SD: 0.9246 cents 91:96:102:107:114:120:128:136:143:152:160:170:182 SD: 0.9244 cents 93:98:104:110:117:123:131:139:146:156:164:174:186 SD: 0.9073 cents 94:99:105:111:118:124:132:140:148:157:166:176:188 SD: 0.7381 cents 110:116:123:130:138:145:155:164:173:184:194:206:220 SD: 0.7203 cents 118:124:132:139:148:156:166:176:186:197:208:221:236 SD: 0.6754 cents 126:133:141:149:158:167:177:188:198:211:222:236:252 SD: 0.6408 cents 133:140:149:157:167:176:187:199:209:222:234:249:266 SD: 0.5919 cents 134:141:150:158:168:177:188:200:211:224:236:251:268 SD: 0.3847 cents 150:158:168:177:188:198:211:224:236:251:264:281:300 SD: 0.3587 cents 223:235:250:263:280:295:313:333:351:373:393:418:446 SD: 0.3027 cents 227:239:254:268:285:300:319:339:357:380:400:425:454 SD: 0.2849 cents 260:274:291:307:326:344:365:388:409:435:458:487:520 SD: 0.2674 cents 282:297:316:333:354:373:396:421:444:472:497:528:564 SD: 0.2630 cents 298:314:334:352:374:394:419:445:469:498:525:558:596 SD: 0.2624 cents 299:315:335:353:375:395:420:447:470:500:527:560:598 SD: 0.2497 cents 316:333:354:373:396:418:444:472:497:529:557:592:632 SD: 0.2420 cents 333:351:373:393:418:440:468:497:524:557:587:624:666 SD: 0.1651 cents 373:393:418:440:468:493:524:557:587:624:657:699:746 SD: 0.1522 cents 467:492:523:551:586:617:656:697:735:781:823:875:934 SD: 0.1304 cents 543:572:608:641:681:718:763:811:854:908:957:1017:1086 SD: 0.1283 cents 593:625:664:700:744:784:833:886:933:992:1045:1111:1186 SD: 0.1154 cents