Scala analysis: xen18-erlich-passion-11
1L 10s MOS for Passion, L=214.31, s=98.40
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: 706.310 cents 706.310000 7: 804.710 cents 804.710000 8: 903.110 cents 903.110000 9: 1001.510 cents 1001.510000 10: 1099.910 cents 1099.910000 11: 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: 214.3100 cents 214.3100 7: 98.4000 cents 98.4000 8: 98.4000 cents 98.4000 9: 98.4000 cents 98.4000 10: 98.4000 cents 98.4000 11: 98.4000 cents 98.4000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 10 98.40000 cents 1: 1 214.31000 cents 2: 9 196.80000 cents 2: 2 312.71000 cents 3: 8 295.20000 cents 3: 3 411.11000 cents 4: 7 393.60000 cents 4: 4 509.51000 cents 5: 6 492.00000 cents 5: 5 607.91000 cents 6: 5 590.40000 cents 6: 6 706.31000 cents 7: 4 688.80000 cents 7: 7 804.71000 cents 8: 3 787.20000 cents 8: 8 903.11000 cents 9: 2 885.60000 cents 9: 9 1001.51000 cents 10: 1 984.00000 cents 10: 10 1099.91000 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 0.0 : 98.4 196.8 295.2 393.6 492.0 706.3 804.7 903.1 1001.5 1099.9 1198.3 98.4 : 98.4 196.8 295.2 393.6 607.9 706.3 804.7 903.1 1001.5 1099.9 1198.3 196.8 : 98.4 196.8 295.2 509.5 607.9 706.3 804.7 903.1 1001.5 1099.9 1198.3 295.2 : 98.4 196.8 411.1 509.5 607.9 706.3 804.7 903.1 1001.5 1099.9 1198.3 393.6 : 98.4 312.7 411.1 509.5 607.9 706.3 804.7 903.1 1001.5 1099.9 1198.3 492.0 : 214.3 312.7 411.1 509.5 607.9 706.3 804.7 903.1 1001.5 1099.9 1198.3 706.3 : 98.4 196.8 295.2 393.6 492.0 590.4 688.8 787.2 885.6 984.0 1198.3 804.7 : 98.4 196.8 295.2 393.6 492.0 590.4 688.8 787.2 885.6 1099.9 1198.3 903.1 : 98.4 196.8 295.2 393.6 492.0 590.4 688.8 787.2 1001.5 1099.9 1198.3 1001.5: 98.4 196.8 295.2 393.6 492.0 590.4 688.8 903.1 1001.5 1099.9 1198.3 1099.9: 98.4 196.8 295.2 393.6 492.0 590.4 804.7 903.1 1001.5 1099.9 1198.3 1198.3
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 98.4000 .. 214.3100 cents 115.91000 cents 98.40000 cents 2: 196.8000 .. 312.7100 cents 115.91000 cents -17.51000 cents 3: 295.2000 .. 411.1100 cents 115.91000 cents -17.51000 cents 4: 393.6000 .. 509.5100 cents 115.91000 cents -17.51000 cents 5: 492.0000 .. 607.9100 cents 115.91000 cents -17.51000 cents 6: 590.4000 .. 706.3100 cents 115.91000 cents -17.51000 cents 7: 688.8000 .. 804.7100 cents 115.91000 cents -17.51000 cents 8: 787.2000 .. 903.1100 cents 115.91000 cents -17.51000 cents 9: 885.6000 .. 1001.5100 cents 115.91000 cents -17.51000 cents 10: 984.0000 .. 1099.9100 cents 115.91000 cents -17.51000 cents
SHOW DATA
Number of notes : 11 -- Interval properties -- Smallest interval : 98.40000 cents, class 1 Average step (divided formal octave): 108.9373 cents Largest one step interval : 214.31000 cents Average / Smallest step : 1.107086 Largest / Average step : 1.967279 Largest / Smallest step : 2.177947 Median interval of one step : 98.40000 cents, amount: 10 Most common interval of one step : 98.40000 cents, amount: 10 Least squares average step : 110.08263 cents, oct.: 1210.90891 cents Scale is not proper Scale has Myhill's property chromas: 115.91000 cents and 17.51000 cents, ratio: 6.619646 generators: 1 of 98.40000 cents and 10 of 1099.91000 cents ET pair of linear temperament : 12&61 Scale is distributional even Scale is a mode of a 889-tone equal temperament with octave 1198.310 cents degrees: 73 146 219 292 365 524 597 670 743 816 889 generators: 73 and 816 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAAAABAAAAA Step pattern size order : SSSSSLSSSSS Scale is a Constant Structure, by a margin of 17.51000 cents Scale diversity : 1.139147 Lumma stability : 0.164231 Lumma impropriety factor : 0.131510 Rothenberg efficiency : 0.727273 redundancy: 0.272727 Efficiency x scale size : 8.000000 Number of different interval sizes : 20 = 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: 10 Scale is a chain of 5 triads 0.0 492.000 1099.910 cents Number of recognisable fifths : 10, average 699.3060 cents Number of appreciable fifths : 6, average 706.3100 cents Number of recognisable fourths : 10, average 499.0040 cents Scale contains two identical disjunct hexachords Formal octave complements present : 11 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 5-6 -- Rational properties --
FIT/MODE
11: 0 1 1 1 1 2 1 1 1 1 1 N T3 SD: 58.0856 c. M: 98.4000 c. 12: 1 1 1 1 1 2 1 1 1 1 1 P M ME I SD: 4.6143 c. M:-7.2958 c. 37: 3 3 3 3 3 7 3 3 3 3 3 N M DE I SD: 3.9204 c. M:-6.1986 c. 49: 4 4 4 4 4 9 4 4 4 4 4 N M DE I SD: 1.8302 c. M:-2.8939 c. 61: 5 5 5 5 5 11 5 5 5 5 5 N M DE I SD: 0.5625 c. M:-0.8893 c. 73: 6 6 6 6 6 13 6 6 6 6 6 N M DE I SD: 0.2885 c. M:-0.4562 c. 134: 11 11 11 11 11 24 11 11 11 11 11 N M DE I SD: 0.0989 c. M:-0.1563 c. 207: 17 17 17 17 17 37 17 17 17 17 17 N M DE I SD: 0.0377 c. M:-0.0597 c. 341: 28 28 28 28 28 61 28 28 28 28 28 N M DE I SD: 0.0160 c. M:-0.0252 c. 548: 45 45 45 45 45 98 45 45 45 45 45 N M DE I SD: 0.0043 c. M:-0.0068 c. 889: 73 73 73 73 73 159 73 73 73 73 73 N M DE I SD: 0.0035 c. M: 0.0055 c. 1437: 118 118 118 118 118 257 118 118 118 118 118 N M DE I SD: 0.0005 c. M:-0.0008 c.
FIT/HARMONIC
1 x x x x x x x x x x 2 S SD: 1.6900 cents 2 x x x x x 3 x x x x 4 S SD: 2.3357 cents 3 x x x x 4 x x 5 x x 6 S SD: 6.5913 cents 4 x x x 5 x 6 x x 7 x 8 S SD: 8.4527 cents 5 x x 6 x 7 x 8 x 9 x 10 S SD: 18.9235 cents 6 x x 7 x 8:9 x 10:11 x 12 S SD: 9.8635 cents 7 x 8 x 9 x x 11:12 x 13:14 SD: 11.8975 cents 8 x 9 x 10:11:12:13 x 14:15:16 S SD: 9.7874 cents 9 x 10 x 11:12 x 14:15:16:17:18 S SD: 8.2407 cents 10 x 11:12 x 13:15:16:17:18:19:20 SD: 6.6541 cents 11 x 12:13:14:15:17:18:19:20:21:22 SD: 11.2492 cents 12:13 x 14:15:16:18:19:20:21:23:24 SD: 6.8767 cents 13:14 x 15:16:17:20:21:22:23:25:26 SD: 9.2571 cents 14:15:16:17:18:19:21:22:24:25:26:28 SD: 8.4227 cents 15:16:17:18:19:20:23:24:25:27:28:30 SD: 5.3598 cents 16:17:18:19:20:21:24:25:27:29:30:32 SD: 4.6214 cents 22:23:25:26:28:29:33:35:37:39:42:44 SD: 4.4334 cents 24:25:27:28:30:32:36:38:40:43:45:48 SD: 4.4249 cents 27:29:30:32:34:36:41:43:45:48:51:54 SD: 3.6215 cents 28:30:31:33:35:37:42:45:47:50:53:56 SD: 3.5150 cents 31:33:35:37:39:41:47:49:52:55:59:62 SD: 3.1030 cents 32:34:36:38:40:43:48:51:54:57:60:64 SD: 2.4170 cents 34:36:38:40:43:45:51:54:57:61:64:68 SD: 2.3455 cents 42:44:47:50:53:56:63:67:71:75:79:84 SD: 2.2278 cents 47:50:53:56:59:62:71:75:79:84:89:94 SD: 2.1658 cents 48:51:54:57:60:64:72:76:81:86:91:96 SD: 1.8688 cents 51:54:57:60:64:68:77:81:86:91:96:102 SD: 1.6731 cents 64:68:72:76:80:85:96:102:108:114:121:128 SD: 1.2803 cents 66:70:74:78:83:88:99:105:111:118:125:132 SD: 1.2220 cents 70:74:78:83:88:93:105:111:118:125:132:140 SD: 1.2026 cents 82:87:92:97:103:109:123:131:138:146:155:164 SD: 1.0060 cents 86:91:96:102:108:114:129:137:145:153:162:172 SD: 0.9687 cents 91:96:102:108:114:121:137:145:153:162:172:182 SD: 0.8484 cents 98:104:110:116:123:130:147:156:165:175:185:196 SD: 0.7993 cents 101:107:113:120:127:134:152:161:170:180:191:202 SD: 0.6986 cents 125:132:140:148:157:166:188:199:211:223:236:250 SD: 0.5802 cents 133:141:149:158:167:177:200:212:224:237:251:266 SD: 0.5433 cents 149:158:167:177:187:198:224:237:251:266:281:298 SD: 0.4938 cents 167:177:187:198:210:222:251:266:281:298:315:334 SD: 0.4917 cents 188:199:211:223:236:250:283:299:317:335:355:376 SD: 0.4408 cents 189:200:212:224:237:251:284:301:318:337:357:378 SD: 0.4229 cents 216:229:242:256:271:287:325:344:364:385:408:432 SD: 0.3707 cents 240:254:269:285:301:319:361:382:404:428:453:480 SD: 0.3402 cents 258:273:289:306:324:343:388:411:435:460:487:515 SD: 0.2665 cents 274:290:307:325:344:364:412:436:462:489:517:547 SD: 0.2360 cents 340:360:381:403:427:452:511:541:573:606:642:679 SD: 0.2285 cents 356:377:399:422:447:473:535:567:600:635:672:711 SD: 0.2083 cents 365:386:409:433:458:485:549:581:615:651:689:729 SD: 0.1798 cents 431:456:483:511:541:573:648:686:726:769:814:861 SD: 0.1794 cents 447:473:501:530:561:594:672:712:753:797:844:893 SD: 0.1605 cents 463:490:519:549:581:615:696:737:780:826:874:925 SD: 0.1390 cents 517:547:579:613:649:687:777:823:871:922:976:1033 SD: 0.1380 cents 532:563:596:631:668:707:800:847:896:949:1004:1063 SD: 0.1120 cents 581:615:651:689:729:772:874:925:979:1036:1097:1161 SD: 0.1083 cents