Scala analysis: xen18-erlich-passion-13
12L 1s MOS for Passion, L=98.40, s=17.51
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 98.400 cents 98.400000 2: 196.800 cents 196.800000 3: 295.200 cents 295.200000 4: 393.600 cents 393.600000 5: 492.000 cents 492.000000 6: 590.400 cents 590.400000 7: 607.910 cents 607.910000 8: 706.310 cents 706.310000 9: 804.710 cents 804.710000 10: 903.110 cents 903.110000 11: 1001.510 cents 1001.510000 12: 1099.910 cents 1099.910000 13: 1198.310 cents 1198.310000
SHOW/INTERVAL
0: 98.4000 cents 98.4000 1: 98.4000 cents 98.4000 2: 98.4000 cents 98.4000 3: 98.4000 cents 98.4000 4: 98.4000 cents 98.4000 5: 98.4000 cents 98.4000 6: 98.4000 cents 98.4000 7: 17.5100 cents 17.5100 8: 98.4000 cents 98.4000 9: 98.4000 cents 98.4000 10: 98.4000 cents 98.4000 11: 98.4000 cents 98.4000 12: 98.4000 cents 98.4000 13: 98.4000 cents 98.4000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 17.51000 cents 1: 12 98.40000 cents 2: 2 115.91000 cents 2: 11 196.80000 cents 3: 3 214.31000 cents 3: 10 295.20000 cents 4: 4 312.71000 cents 4: 9 393.60000 cents 5: 5 411.11000 cents 5: 8 492.00000 cents 6: 6 509.51000 cents 6: 7 590.40000 cents 7: 7 607.91000 cents 7: 6 688.80000 cents 8: 8 706.31000 cents 8: 5 787.20000 cents 9: 9 804.71000 cents 9: 4 885.60000 cents 10: 10 903.11000 cents 10: 3 984.00000 cents 11: 11 1001.51000 cents 11: 2 1082.40000 cents 12: 12 1099.91000 cents 12: 1 1180.80000 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 0.0 : 98.4 196.8 295.2 393.6 492.0 590.4 607.9 706.3 804.7 903.1 1001.5 1099.9 1198.3 98.4 : 98.4 196.8 295.2 393.6 492.0 509.5 607.9 706.3 804.7 903.1 1001.5 1099.9 1198.3 196.8 : 98.4 196.8 295.2 393.6 411.1 509.5 607.9 706.3 804.7 903.1 1001.5 1099.9 1198.3 295.2 : 98.4 196.8 295.2 312.7 411.1 509.5 607.9 706.3 804.7 903.1 1001.5 1099.9 1198.3 393.6 : 98.4 196.8 214.3 312.7 411.1 509.5 607.9 706.3 804.7 903.1 1001.5 1099.9 1198.3 492.0 : 98.4 115.9 214.3 312.7 411.1 509.5 607.9 706.3 804.7 903.1 1001.5 1099.9 1198.3 590.4 : 17.5 115.9 214.3 312.7 411.1 509.5 607.9 706.3 804.7 903.1 1001.5 1099.9 1198.3 607.9 : 98.4 196.8 295.2 393.6 492.0 590.4 688.8 787.2 885.6 984.0 1082.4 1180.8 1198.3 706.3 : 98.4 196.8 295.2 393.6 492.0 590.4 688.8 787.2 885.6 984.0 1082.4 1099.9 1198.3 804.7 : 98.4 196.8 295.2 393.6 492.0 590.4 688.8 787.2 885.6 984.0 1001.5 1099.9 1198.3 903.1 : 98.4 196.8 295.2 393.6 492.0 590.4 688.8 787.2 885.6 903.1 1001.5 1099.9 1198.3 1001.5: 98.4 196.8 295.2 393.6 492.0 590.4 688.8 787.2 804.7 903.1 1001.5 1099.9 1198.3 1099.9: 98.4 196.8 295.2 393.6 492.0 590.4 688.8 706.3 804.7 903.1 1001.5 1099.9 1198.3 1198.3
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 17.5100 .. 98.4000 cents 80.89000 cents 17.51000 cents 2: 115.9100 .. 196.8000 cents 80.89000 cents 17.51000 cents 3: 214.3100 .. 295.2000 cents 80.89000 cents 17.51000 cents 4: 312.7100 .. 393.6000 cents 80.89000 cents 17.51000 cents 5: 411.1100 .. 492.0000 cents 80.89000 cents 17.51000 cents 6: 509.5100 .. 590.4000 cents 80.89000 cents 17.51000 cents 7: 607.9100 .. 688.8000 cents 80.89000 cents 17.51000 cents 8: 706.3100 .. 787.2000 cents 80.89000 cents 17.51000 cents 9: 804.7100 .. 885.6000 cents 80.89000 cents 17.51000 cents 10: 903.1100 .. 984.0000 cents 80.89000 cents 17.51000 cents 11: 1001.5100 .. 1082.4000 cents 80.89000 cents 17.51000 cents 12: 1099.9100 .. 1180.8000 cents 80.89000 cents 17.51000 cents
SHOW DATA
Number of notes : 13 -- Interval properties -- Smallest interval : 17.51000 cents, class 1 Average step (divided formal octave): 92.1777 cents Largest one step interval : 98.40000 cents Average / Smallest step : 5.264289 Largest / Average step : 1.067503 Largest / Smallest step : 5.619646 Median interval of one step : 98.40000 cents, amount: 12 Most common interval of one step : 98.40000 cents, amount: 12 Least squares average step : 91.48632 cents, oct.: 1189.32222 cents Scale is strictly proper Scale has Myhill's property chromas: 80.89000 cents and 63.38000 cents, ratio: 1.276270 generators: 1 of 98.40000 cents and 12 of 1099.91000 cents ET pair of linear temperament : 12&61 Scale is distributional even Scale is a mode of a 1437-tone equal temperament with octave 1198.310 cents degrees: 118 236 354 472 590 708 729 847 965 1083 1201 1319 1437 generators: 118 and 1319 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAAAAABAAAAAA Step pattern size order : LLLLLLSLLLLLL Scale is a Constant Structure, by a margin of 17.51000 cents Scale diversity : 1.114023 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.189959 Rothenberg efficiency : 0.717949 redundancy: 0.282051 Efficiency x scale size : 9.333333 Number of different interval sizes : 24 = 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 : 17.51000 cents Most common intervals : 98.40000 cents & inv., amount: 12 Scale is a chain of 6 triads 0.0 590.400 1099.910 cents Most common triad is 0.0 98.400 1099.910 cents, amount: 11 Number of recognisable fifths : 14, average 698.8057 cents Number of appreciable fifths : 8, average 706.3100 cents Number of recognisable fourths : 14, average 499.5043 cents Scale contains two identical disjunct hexachords Formal octave complements present : 13 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 6-7 -- Rational properties --
FIT/MODE
13: 1 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 23.2817 c. M: 37.3338 c. 16: 1 2 1 1 2 1 0 1 2 1 1 2 1 N T3 I SD: 20.8748 c. M:-32.2606 c. 17: 1 2 1 2 1 1 1 1 1 2 1 2 1 N D3 I SD: 20.5078 c. M: 29.3329 c. 18: 1 2 1 2 1 2 0 2 1 2 1 2 1 P D3 I SD: 20.1664 c. M: 31.8272 c. 20: 2 1 2 2 1 2 0 2 1 2 2 1 2 N I SD: 16.0417 c. M: 25.8085 c. 22: 2 2 1 2 2 2 0 2 2 2 1 2 2 N T3 I SD: 14.1921 c. M:-22.8568 c. 24: 2 2 2 2 2 2 0 2 2 2 2 2 2 P M DE I SD: 5.4597 c. M: 8.7550 c. 37: 3 3 3 3 3 3 1 3 3 3 3 3 3 SP M DE I SD: 4.6386 c. M: 7.4384 c. 49: 4 4 4 4 4 4 1 4 4 4 4 4 4 SP M DE I SD: 2.1656 c. M: 3.4727 c. 61: 5 5 5 5 5 5 1 5 5 5 5 5 5 SP M DE I SD: 0.6655 c. M: 1.0672 c. 73: 6 6 6 6 6 6 1 6 6 6 6 6 6 SP M DE I SD: 0.3414 c. M: 0.5474 c. 134: 11 11 11 11 11 11 2 11 11 11 11 11 11 SP M DE I SD: 0.1170 c. M: 0.1876 c. 207: 17 17 17 17 17 17 3 17 17 17 17 17 17 SP M DE I SD: 0.0446 c. M: 0.0716 c. 341: 28 28 28 28 28 28 5 28 28 28 28 28 28 SP M DE I SD: 0.0189 c. M: 0.0303 c. 548: 45 45 45 45 45 45 8 45 45 45 45 45 45 SP M DE I SD: 0.0051 c. M: 0.0082 c. 889: 73 73 73 73 73 73 13 73 73 73 73 73 73 SP M DE I SD: 0.0041 c. M: 0.0065 c. 1437: 118 118 118 118 118 118 21 118 118 118 118 118 118 SP M DE I SD: 0.0006 c. M: 0.0009 c.
FIT/HARMONIC
1 x x x x x x x x x x x x 2 S SD: 1.6900 cents 2 x x x x x x x 3 x x x x 4 S SD: 2.3357 cents 3 x x x x 4 x x x x 5 x x 6 S SD: 6.5913 cents 4 x x x 5 x x x 6 x x 7 x 8 S SD: 8.4527 cents 5 x x 6 x x 7 x x 8 x 9 x 10 S SD: 5.7350 cents 6 x x 7 x 8 x x 9 x 10:11 x 12 S SD: 9.8635 cents 7 x 8 x 9 x x 10 x 11:12 x 13:14 S SD: 10.2893 cents 8 x 9 x 10 x 11 x 12:13 x 14:15:16 S SD: 8.0424 cents 9 x 10 x 11:12 x 13 x 14:15:16:17:18 S SD: 7.9894 cents 10 x 11:12 x 13:14 x 15:16:17:18:19:20 S SD: 6.0404 cents 11 x 12:13:14:15 x 16:17:18:19:20:21:22 S SD: 10.8775 cents 12:13 x 14:15:16 x 17:18:19:20:21:23:24 SD: 6.2675 cents 13:14 x 15:16:17:18 x 20:21:22:23:25:26 SD: 8.7667 cents 14:15:16:17:18:19 x 20:21:22:24:25:26:28 S SD: 7.7620 cents 15:16:17:18:19:20:21 x 23:24:25:27:28:30 SD: 4.9570 cents 16:17:18:19:20:21 x 23:24:25:27:29:30:32 SD: 4.5635 cents 17:18:19:20:21:23:24 x 26:27:29:30:32:34 SD: 5.0668 cents 18:19:20:21:23:24:25:26:27:29:30:32:34:36 SD: 4.9574 cents 19:20:21:23:24:25 x 27:29:30:32:34:36:38 SD: 4.7521 cents 20:21:22:24:25:27:28 x 30:32:34:36:38:40 SD: 4.7340 cents 21:22:24:25:26:28 x 30:32:33:35:37:40:42 SD: 5.4632 cents 22:23:25:26:28:29:31 x 33:35:37:39:42:44 SD: 4.0734 cents 24:25:27:28:30:32 x 34:36:38:40:43:45:48 SD: 4.0767 cents 26:28:29:31:33:35 x 37:39:41:44:46:49:52 SD: 4.1387 cents 27:29:30:32:34:36:38 x 41:43:45:48:51:54 SD: 3.3214 cents 29:31:32:34:36:39 x 41:44:46:49:52:55:58 SD: 4.3430 cents 30:32:34:36:38:40:42:43:45:48:51:54:57:60 SD: 3.6888 cents 31:33:35:37:39:41 x 44:47:49:52:55:59:62 SD: 2.8477 cents 32:34:36:38:40:43:45 x 48:51:54:57:60:64 SD: 2.2156 cents 34:36:38:40:43:45:48 x 51:54:57:61:64:68 SD: 2.2192 cents 36:38:40:43:45:48 x 51:54:57:61:64:68:72 SD: 2.2539 cents 39:41:44:46:49:52:55 x 59:62:66:70:74:78 SD: 2.3764 cents 41:43:46:49:51:54 x 58:62:65:69:73:77:82 SD: 2.8950 cents 42:44:47:50:53:56:59:60:63:67:71:75:79:84 SD: 2.0299 cents 46:49:52:55:58:61:65 x 69:73:78:82:87:92 SD: 2.4734 cents 47:50:53:56:59:62:66:67:71:75:79:84:89:94 SD: 1.8986 cents 48:51:54:57:60:64 x 68:72:76:81:86:91:96 SD: 1.7613 cents 50:53:56:59:63:66:70:71:75:80:84:89:94:100 SD: 1.7246 cents 51:54:57:60:64:68:72 x 77:81:86:91:96:102 SD: 1.6293 cents 52:55:58:62:65:69:73:74:78:83:88:93:98:104 SD: 1.4621 cents 53:56:59:63:67:70 x 75:80:84:89:95:100:106 SD: 2.1477 cents 54:57:61:64:68:72:76:77:81:86:91:96:102:108 SD: 1.5165 cents 58:61:65:69:73:77 x 82:87:92:98:103:109:116 SD: 1.7515 cents 59:62:66:70:74:78:83:84:89:94:99:105:111:118 SD: 1.5136 cents 64:68:72:76:80:85:90:91:96:102:108:114:121:128 SD: 1.0891 cents 74:78:83:88:93:98:104:105:111:118:125:132:140:148 SD: 1.0570 cents 83:88:93:98:104:110:117:118:125:132:140:148:157:166 SD: 0.9139 cents 86:91:96:102:108:114:121:122:129:137:145:153:162:172 SD: 0.8445 cents 91:96:102:108:114:121:128:129:137:145:153:162:172:182 SD: 0.7751 cents 98:104:110:116:123:130:138:139:147:156:165:175:185:196 SD: 0.7300 cents 118:125:132:140:148:157:166:168:177:188:199:210:223:236 SD: 0.6681 cents 125:132:140:148:157:166:176:178:188:199:211:223:236:250 SD: 0.6001 cents 133:141:149:158:167:177:187:189:200:212:224:237:251:266 SD: 0.4624 cents 167:177:187:198:210:222:235:237:251:266:281:298:315:334 SD: 0.4464 cents 188:199:211:223:236:250:264:267:283:299:317:335:355:376 SD: 0.4268 cents 200:212:224:237:251:266:281:284:301:318:337:357:378:400 SD: 0.4255 cents 204:216:229:242:256:271:287:290:307:325:344:364:385:408 SD: 0.3743 cents 216:229:242:256:271:287:304:307:325:344:364:385:408:432 SD: 0.3329 cents 258:273:289:306:324:343:363:367:388:411:435:460:487:515 SD: 0.2864 cents 274:290:307:325:344:364:385:389:412:436:462:489:517:547 SD: 0.2513 cents 323:342:362:383:405:429:454:459:486:514:544:576:610:645 SD: 0.2345 cents 340:360:381:403:427:452:478:483:511:541:573:606:642:679 SD: 0.1995 cents 392:415:439:465:492:521:551:557:589:624:660:699:740:783 SD: 0.1869 cents 399:422:447:473:501:530:561:567:600:635:672:712:753:797 SD: 0.1762 cents 426:451:477:505:535:566:599:605:641:678:718:760:804:851 SD: 0.1729 cents 431:456:483:511:541:573:606:612:648:686:726:769:814:861 SD: 0.1702 cents 447:473:501:530:561:594:629:635:672:712:753:797:844:893 SD: 0.1543 cents 463:490:519:549:581:615:651:658:696:737:780:826:874:925 SD: 0.1300 cents 490:519:549:581:615:651:689:696:737:780:826:874:925:979 SD: 0.1287 cents 532:563:596:631:668:707:748:756:800:847:896:949:1004:1063 SD: 0.1069 cents