Scala analysis: xen18-erlich-myna-15
4L 11s MOS for Myna, L=187.70, s=40.73
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 40.730 cents 40.730000 2: 228.430 cents 228.430000 3: 269.160 cents 269.160000 4: 309.890 cents 309.890000 5: 350.620 cents 350.620000 6: 538.320 cents 538.320000 7: 579.050 cents 579.050000 8: 619.780 cents 619.780000 9: 660.510 cents 660.510000 10: 848.210 cents 848.210000 11: 888.940 cents 888.940000 12: 929.670 cents 929.670000 13: 970.400 cents 970.400000 14: 1158.100 cents 1158.100000 15: 1198.830 cents 1198.830000
SHOW/INTERVAL
0: 40.7300 cents 40.7300 1: 40.7300 cents 40.7300 2: 187.7000 cents 187.7000 3: 40.7300 cents 40.7300 4: 40.7300 cents 40.7300 5: 40.7300 cents 40.7300 6: 187.7000 cents 187.7000 7: 40.7300 cents 40.7300 8: 40.7300 cents 40.7300 9: 40.7300 cents 40.7300 10: 187.7000 cents 187.7000 11: 40.7300 cents 40.7300 12: 40.7300 cents 40.7300 13: 40.7300 cents 40.7300 14: 187.7000 cents 187.7000 15: 40.7300 cents 40.7300
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 11 40.73000 cents 1: 4 187.70000 cents 2: 7 81.46000 cents 2: 8 228.43000 cents 3: 3 122.19000 cents 3: 12 269.16000 cents 4: 14 309.89000 cents 4: 1 456.86000 cents 5: 10 350.62000 cents 5: 5 497.59000 cents 6: 6 391.35000 cents 6: 9 538.32000 cents 7: 2 432.08000 cents 7: 13 579.05000 cents 8: 13 619.78000 cents 8: 2 766.75000 cents 9: 9 660.51000 cents 9: 6 807.48000 cents 10: 5 701.24000 cents 10: 10 848.21000 cents 11: 1 741.97000 cents 11: 14 888.94000 cents 12: 12 929.67000 cents 12: 3 1076.64000 cents 13: 8 970.40000 cents 13: 7 1117.37000 cents 14: 4 1011.13000 cents 14: 11 1158.10000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 2.00000 = 2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0.0 : 40.7 228.4 269.2 309.9 350.6 538.3 579.0 619.8 660.5 848.2 888.9 929.7 970.4 1158.1 1198.8 40.7 : 187.7 228.4 269.2 309.9 497.6 538.3 579.1 619.8 807.5 848.2 888.9 929.7 1117.4 1158.1 1198.8 228.4 : 40.7 81.5 122.2 309.9 350.6 391.4 432.1 619.8 660.5 701.2 742.0 929.7 970.4 1011.1 1198.8 269.2 : 40.7 81.5 269.2 309.9 350.6 391.4 579.1 619.8 660.5 701.2 888.9 929.7 970.4 1158.1 1198.8 309.9 : 40.7 228.4 269.2 309.9 350.6 538.3 579.1 619.8 660.5 848.2 888.9 929.7 1117.4 1158.1 1198.8 350.6 : 187.7 228.4 269.2 309.9 497.6 538.3 579.0 619.8 807.5 848.2 888.9 1076.6 1117.4 1158.1 1198.8 538.3 : 40.7 81.5 122.2 309.9 350.6 391.3 432.1 619.8 660.5 701.2 888.9 929.7 970.4 1011.1 1198.8 579.0 : 40.7 81.5 269.2 309.9 350.6 391.4 579.1 619.8 660.5 848.2 888.9 929.7 970.4 1158.1 1198.8 619.8 : 40.7 228.4 269.2 309.9 350.6 538.3 579.0 619.8 807.5 848.2 888.9 929.7 1117.4 1158.1 1198.8 660.5 : 187.7 228.4 269.2 309.9 497.6 538.3 579.0 766.8 807.5 848.2 888.9 1076.6 1117.4 1158.1 1198.8 848.2 : 40.7 81.5 122.2 309.9 350.6 391.3 579.0 619.8 660.5 701.2 888.9 929.7 970.4 1011.1 1198.8 888.9 : 40.7 81.5 269.2 309.9 350.6 538.3 579.0 619.8 660.5 848.2 888.9 929.7 970.4 1158.1 1198.8 929.7 : 40.7 228.4 269.2 309.9 497.6 538.3 579.0 619.8 807.5 848.2 888.9 929.7 1117.4 1158.1 1198.8 970.4 : 187.7 228.4 269.2 456.9 497.6 538.3 579.0 766.7 807.5 848.2 888.9 1076.6 1117.4 1158.1 1198.8 1158.1: 40.7 81.5 269.2 309.9 350.6 391.4 579.0 619.8 660.5 701.2 888.9 929.7 970.4 1011.1 1198.8 1198.8
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 40.7300 .. 187.7000 cents 146.97000 cents 40.73000 cents 2: 81.4600 .. 228.4300 cents 146.97000 cents -106.24000 cents 3: 122.1900 .. 269.1600 cents 146.97000 cents -106.24000 cents 4: 309.8900 .. 456.8600 cents 146.97000 cents 40.73000 cents 5: 350.6200 .. 497.5900 cents 146.97000 cents -106.24000 cents 6: 391.3500 .. 538.3200 cents 146.97000 cents -106.24000 cents 7: 432.0800 .. 579.0500 cents 146.97000 cents -106.24000 cents 8: 619.7800 .. 766.7500 cents 146.97000 cents 40.73000 cents 9: 660.5100 .. 807.4800 cents 146.97000 cents -106.24000 cents 10: 701.2400 .. 848.2100 cents 146.97000 cents -106.24000 cents 11: 741.9700 .. 888.9400 cents 146.97000 cents -106.24000 cents 12: 929.6700 .. 1076.6400 cents 146.97000 cents 40.73000 cents 13: 970.4000 .. 1117.3700 cents 146.97000 cents -106.24000 cents 14: 1011.1300 .. 1158.1000 cents 146.97000 cents -106.24000 cents
SHOW DATA
Number of notes : 15 -- Interval properties -- Smallest interval : 40.73000 cents, class 1 Average step (divided formal octave): 79.9220 cents Largest one step interval : 187.70000 cents Average / Smallest step : 1.962239 Largest / Average step : 2.348540 Largest / Smallest step : 4.608397 Median interval of one step : 40.73000 cents, amount: 11 Most common interval of one step : 40.73000 cents, amount: 11 Least squares average step : 79.60594 cents, oct.: 1194.08903 cents Scale is not proper Scale has Myhill's property chromas: 146.97000 cents and 106.24000 cents, ratio: 1.383377 generators: 4 of 309.89000 cents and 11 of 888.94000 cents ET pair of linear temperament : 27&31 Scale is distributional even Scale is a mode of a 677-tone equal temperament with octave 1198.830 cents degrees: 23 129 152 175 198 304 327 350 373 479 502 525 548 654 677 generators: 175 and 502 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAAABAAABAAABA Step pattern size order : SLSSSLSSSLSSSLS Scale is a Constant Structure, by a margin of 24.78000 cents Scale diversity : 1.231473 Lumma stability : 0.169874 Lumma impropriety factor : 0.558328 Rothenberg efficiency : 0.711111 redundancy: 0.288889 Efficiency x scale size : 10.666667 Number of different interval sizes : 28 = 2.00000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 2.00000 = 2 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 24.78000 cents Most common intervals : 309.89000 cents & inv., amount: 14 Scale is a chain of 7 triads 0.0 309.890 619.780 cents Most common triad is 0.0 309.890 888.940 cents, amount: 13 Number of recognisable fifths : 5, average 701.2400 cents Number of recognisable fourths : 5, average 497.5900 cents Scale contains two identical disjunct heptachords Formal octave complements present : 15 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 7-8 -- Rational properties --
FIT/MODE
15: 0 3 0 1 0 2 1 0 1 2 1 0 1 2 1 N SD: 34.9702 c. M: 60.3260 c. 16: 1 2 1 0 1 2 1 0 1 2 1 0 1 2 1 N I SD: 21.2989 c. M:-34.1969 c. 17: 1 2 1 0 1 3 0 1 0 3 1 0 1 2 1 N I SD: 20.0189 c. M:-29.7894 c. 18: 1 2 1 1 0 3 1 0 1 3 0 1 1 2 1 N I SD: 19.2735 c. M: 28.6250 c. 20: 1 3 0 1 1 3 1 0 1 3 1 0 1 3 1 N SD: 16.3195 c. M: 30.5475 c. 21: 1 3 1 0 1 3 1 1 1 3 1 0 1 3 1 N I SD: 15.7689 c. M: 24.5357 c. 22: 1 3 1 1 0 4 1 0 1 4 0 1 1 3 1 N I SD: 14.6939 c. M: 23.6664 c. 23: 1 3 1 1 1 3 1 1 1 3 1 1 1 3 1 N M DE I SD: 12.3059 c. M: 19.9378 c. 27: 1 4 1 1 1 4 1 1 1 4 1 1 1 4 1 N M DE I SD: 3.9653 c. M: 6.4244 c. 31: 1 5 1 1 1 5 1 1 1 5 1 1 1 5 1 N M DE I SD: 2.2230 c. M: 3.6016 c. 58: 2 9 2 2 2 9 2 2 2 9 2 2 2 9 2 N M DE I SD: 0.6578 c. M: 1.0657 c. 89: 3 14 3 3 3 14 3 3 3 14 3 3 3 14 3 N M DE I SD: 0.3456 c. M: 0.5600 c. 147: 5 23 5 5 5 23 5 5 5 23 5 5 5 23 5 N M DE I SD: 0.0503 c. M: 0.0814 c. 383: 13 60 13 13 13 60 13 13 13 60 13 13 13 60 13 N M DE I SD: 0.0417 c. M: 0.0676 c. 530: 18 83 18 18 18 83 18 18 18 83 18 18 18 83 18 N M DE I SD: 0.0162 c. M: 0.0263 c. 677: 23 106 23 23 23 106 23 23 23 106 23 23 23 106 23 N M DE I SD: 0.0018 c. M: 0.0029 c. 2178: 74 341 74 74 74 341 74 74 74 341 74 74 74 341 74 N M DE I SD: 0.0017 c. M: 0.0028 c.
FIT/HARMONIC
1 x x x x x x x x x x x x x x 2 S SD: 1.1700 cents 2 x x x x x x x x 3 x x x x x 4 S SD: 20.7308 cents 3 x x x x x 4 x x x x 5 x x x 6 S SD: 13.5172 cents 4 x x x x 5 x x x 6 x x x 7 x 8 S SD: 13.6830 cents 5 x x x 6 x x 7 x x 8 x x 9 x 10 S SD: 11.7742 cents 6 x x 7 x x 8 x x 9 x 10 x 11 x 12 S SD: 16.3321 cents 7 x 8 x x 9 x x 10 x 11 x 12 x x 14 S SD: 17.8568 cents 8 x 9 x x 10:11 x x 12:13 x x 14 x 16 S SD: 8.8350 cents 9 x 10 x x 11:12 x 13 x x 15 x 16 x 18 SD: 9.8111 cents 10 x 11 x 12 x x 14 x 15:16 x 17:18 x 20 S SD: 12.0727 cents 11 x x 13 x x 15 x x 16:18 x 19 x 21:22 SD: 6.8961 cents 12 x x 14 x 15:16 x 17:18 x 20 x 21:23:24 SD: 8.5602 cents 13:14:15 x x 16 x 18 x 19:21 x 22:23:25:26 SD: 10.0173 cents 14:15:16 x x 17:19 x 20:21:23 x 24:25:27:28 SD: 9.0580 cents 15:16:17 x 18 x 20:21 x 22:24:25 x 26:29:30 SD: 8.4687 cents 16:17:18 x 19:20:22 x 23 x 26:27 x 28:31:32 SD: 7.5594 cents 17:18:19:20 x 21:23:24 x 25:28 x 29:30:33:34 SD: 6.5564 cents 18:19 x 21 x 22 x 25:26 x 29:30:31:32:35:36 SD: 6.1458 cents 19:20 x 22 x 23:26 x 27:28:31:32 x 33:37:38 SD: 5.4759 cents 20:21:23 x 24 x 27:28 x 29:33 x 34:35:39:40 SD: 5.1997 cents 21:22:24 x 25:26 x 29:30:31:34:35:36:37:41:42 SD: 4.1863 cents 22:23:25:26 x 27:30:31 x 32:36:37:38:39:43:44 SD: 4.2059 cents 23:24:26:27 x 28:31:32:33:34 x 38:39:40:45:46 SD: 4.2989 cents 24:25:27:28:29 x 33 x 34:35:39:40:41:42:47:48 SD: 3.8011 cents 25:26 x 29:30:31:34:35:36:37:41:42:43:44:49:50 SD: 3.3975 cents 26:27:30 x 31:32:35:36:37:38:42:43:44:46:51:52 SD: 4.1392 cents 27:28:31 x 32:33:37:38:39:40:44:45:46:47:53:54 SD: 3.2329 cents 28:29:32:33 x 34:38:39:40:41:46:47:48:49:55:56 SD: 2.5713 cents 29:30:33:34:35:36:40 x 41:42:47:48:50:51:57:58 SD: 3.9821 cents 30:31:34:35:36:37:41:42:43:44:49:50:51:53:59:60 SD: 2.2652 cents 32:33 x 37:38:39:44:45:46:47:52:53:55:56:62:64 SD: 2.8752 cents 33:34:38:39 x 40:45:46:47:48:54:55:56:58:64:66 SD: 2.9460 cents 35:36:40:41:42:43:48:49:50:51:57:58:60:61:68:70 SD: 1.7753 cents 41:42:47:48:49:50:56:57:59:60:67:69:70:72:80:82 SD: 1.4970 cents 49:50:56:57:59:60:67:68:70:72:80:82:84:86:96:98 SD: 1.4717 cents 58:59:66:68:69:71:79:81:83:85:95:97:99:102:113:116 SD: 1.3341 cents 65:67:74:76:78:80:89:91:93:95:106:109:111:114:127:130 SD: 1.3027 cents 71:73:81:83:85:87:97:99:102:104:116:119:121:124:139:142 SD: 1.0691 cents 76:78:87:89:91:93:104:106:109:111:124:127:130:133:148:152 SD: 0.8664 cents 88:90:100:103:105:108:120:123:126:129:144:147:151:154:172:176 SD: 0.8405 cents 93:95:106:109:111:114:127:130:133:136:152:155:159:163:182:186 SD: 0.7433 cents 112:115:128:131:134:137:153:156:160:164:183:187:192:196:219:224 SD: 0.6915 cents 121:124:138:141:145:148:165:169:173:177:198:202:207:212:236:242 SD: 0.5600 cents 142:145:162:166:170:174:194:198:203:208:232:237:243:249:277:284 SD: 0.5069 cents 161:165:184:188:193:197:220:225:230:236:263:269:275:282:314:322 SD: 0.4957 cents 164:168:187:192:196:201:224:229:235:240:268:274:281:287:320:328 SD: 0.4708 cents 168:172:192:196:201:206:229:235:240:246:274:281:287:294:328:336 SD: 0.4580 cents 177:181:202:207:212:217:242:247:253:259:289:296:303:310:346:354 SD: 0.4567 cents 179:183:204:209:214:219:244:250:256:262:292:299:306:314:349:358 SD: 0.3983 cents 204:209:233:238:244:250:278:285:292:299:333:341:349:357:398:408 SD: 0.3409 cents 209:214:238:244:250:256:285:292:299:306:341:349:358:366:408:418 SD: 0.3252 cents 214:219:244:250:256:262:292:299:306:313:349:358:366:375:418:428 SD: 0.2744 cents 249:255:284:291:298:305:340:348:356:365:406:416:426:436:486:498 SD: 0.2362 cents 290:297:331:339:347:355:396:405:415:425:473:485:496:508:566:580 SD: 0.2265 cents 297:304:339:347:355:364:405:415:425:435:485:496:508:520:580:594 SD: 0.2178 cents 332:340:379:388:397:407:453:464:475:486:542:555:568:582:648:664 SD: 0.2152 cents 362:371:413:423:433:443:494:506:518:530:591:605:619:634:707:724 SD: 0.1970 cents 383:392:437:447:458:469:523:535:548:561:625:640:655:671:748:765 SD: 0.1772 cents 411:421:469:480:492:503:561:574:588:602:671:687:703:720:802:821 SD: 0.1768 cents 418:428:477:488:500:512:570:584:598:612:682:699:715:732:816:835 SD: 0.1738 cents 458:469:523:535:548:561:625:640:655:671:748:765:784:802:894:915 SD: 0.1729 cents 459:470:524:536:549:562:626:641:657:672:749:767:785:804:896:917 SD: 0.1619 cents 460:471:525:537:550:563:628:643:658:674:751:769:787:806:898:919 SD: 0.1601 cents 463:474:528:541:554:567:632:647:662:678:756:774:792:811:904:925 SD: 0.1350 cents 504:516:575:589:603:617:688:704:721:738:823:842:862:883:984:1007 SD: 0.1174 cents 587:601:670:686:702:719:801:820:840:860:958:981:1004:1028:1146:1173 SD: 0.1062 cents