Scala analysis: xen18-erlich-passion-09
1L 8s MOS for Passion, L=411.11, 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: 804.710 cents 804.710000 6: 903.110 cents 903.110000 7: 1001.510 cents 1001.510000 8: 1099.910 cents 1099.910000 9: 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: 411.1100 cents 411.1100 6: 98.4000 cents 98.4000 7: 98.4000 cents 98.4000 8: 98.4000 cents 98.4000 9: 98.4000 cents 98.4000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 8 98.40000 cents 1: 1 411.11000 cents 2: 7 196.80000 cents 2: 2 509.51000 cents 3: 6 295.20000 cents 3: 3 607.91000 cents 4: 5 393.60000 cents 4: 4 706.31000 cents 5: 4 492.00000 cents 5: 5 804.71000 cents 6: 3 590.40000 cents 6: 6 903.11000 cents 7: 2 688.80000 cents 7: 7 1001.51000 cents 8: 1 787.20000 cents 8: 8 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 0.0 : 98.4 196.8 295.2 393.6 804.7 903.1 1001.5 1099.9 1198.3 98.4 : 98.4 196.8 295.2 706.3 804.7 903.1 1001.5 1099.9 1198.3 196.8 : 98.4 196.8 607.9 706.3 804.7 903.1 1001.5 1099.9 1198.3 295.2 : 98.4 509.5 607.9 706.3 804.7 903.1 1001.5 1099.9 1198.3 393.6 : 411.1 509.5 607.9 706.3 804.7 903.1 1001.5 1099.9 1198.3 804.7 : 98.4 196.8 295.2 393.6 492.0 590.4 688.8 787.2 1198.3 903.1 : 98.4 196.8 295.2 393.6 492.0 590.4 688.8 1099.9 1198.3 1001.5: 98.4 196.8 295.2 393.6 492.0 590.4 1001.5 1099.9 1198.3 1099.9: 98.4 196.8 295.2 393.6 492.0 903.1 1001.5 1099.9 1198.3 1198.3
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 98.4000 .. 411.1100 cents 312.71000 cents 98.40000 cents 2: 196.8000 .. 509.5100 cents 312.71000 cents -214.31000 cents 3: 295.2000 .. 607.9100 cents 312.71000 cents -214.31000 cents 4: 393.6000 .. 706.3100 cents 312.71000 cents -214.31000 cents 5: 492.0000 .. 804.7100 cents 312.71000 cents -214.31000 cents 6: 590.4000 .. 903.1100 cents 312.71000 cents -214.31000 cents 7: 688.8000 .. 1001.5100 cents 312.71000 cents -214.31000 cents 8: 787.2000 .. 1099.9100 cents 312.71000 cents -214.31000 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 98.40000 cents, class 1 Average step (divided formal octave): 133.1456 cents Largest one step interval : 411.11000 cents Average / Smallest step : 1.353105 Largest / Average step : 3.087673 Largest / Smallest step : 4.177947 Median interval of one step : 98.40000 cents, amount: 8 Most common interval of one step : 98.40000 cents, amount: 8 Least squares average step : 136.80298 cents, oct.: 1231.22684 cents Scale is not proper Scale has Myhill's property chromas: 312.71000 cents and 214.31000 cents, ratio: 1.459148 generators: 1 of 98.40000 cents and 8 of 1099.91000 cents ET pair of linear temperament : 12&61 Scale is distributional even Scale is a mode of a 548-tone equal temperament with octave 1198.310 cents degrees: 45 90 135 180 368 413 458 503 548 generators: 45 and 503 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAAABAAAA Step pattern size order : SSSSLSSSS Scale is a Constant Structure, by a margin of 17.51000 cents Scale diversity : 1.191127 Lumma stability : 0.164231 Lumma impropriety factor : 0.671537 Rothenberg efficiency : 0.740741 redundancy: 0.259259 Efficiency x scale size : 6.666667 Number of different interval sizes : 16 = 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: 8 Scale is a chain of 4 triads 0.0 393.600 1099.910 cents Number of recognisable fifths : 6, average 700.4733 cents Number of appreciable fifths : 4, average 706.3100 cents Number of recognisable fourths : 6, average 497.8367 cents Scale contains two identical disjunct pentachords Formal octave complements present : 9 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 4-5 -- Rational properties --
FIT/MODE
9: 1 0 1 1 3 1 1 0 1 N I SD: 36.9051 c. M: 63.6544 c. 11: 1 1 1 1 3 1 1 1 1 N M DE I SD: 27.2071 c. M: 42.1491 c. 12: 1 1 1 1 4 1 1 1 1 N M DE I SD: 3.7676 c. M: 5.8367 c. 37: 3 3 3 3 13 3 3 3 3 N M DE I SD: 3.2010 c. M: 4.9589 c. 49: 4 4 4 4 17 4 4 4 4 N M DE I SD: 1.4944 c. M: 2.3151 c. 61: 5 5 5 5 21 5 5 5 5 N M DE I SD: 0.4593 c. M: 0.7115 c. 73: 6 6 6 6 25 6 6 6 6 N M DE I SD: 0.2356 c. M: 0.3649 c. 134: 11 11 11 11 46 11 11 11 11 N M DE I SD: 0.0807 c. M: 0.1251 c. 207: 17 17 17 17 71 17 17 17 17 N M DE I SD: 0.0308 c. M: 0.0477 c. 341: 28 28 28 28 117 28 28 28 28 N M DE I SD: 0.0130 c. M: 0.0202 c. 548: 45 45 45 45 188 45 45 45 45 N M DE I SD: 0.0035 c. M: 0.0055 c. 889: 73 73 73 73 305 73 73 73 73 N M DE I SD: 0.0028 c. M: 0.0044 c. 1437: 118 118 118 118 493 118 118 118 118 N M DE I SD: 0.0004 c. M: 0.0006 c.
FIT/HARMONIC
1 x x x x x x x x 2 S SD: 1.6900 cents 2 x x x x 3 x x x 4 S SD: 51.3844 cents 3 x x x 4 x 5 x x 6 S SD: 35.3761 cents 4 x x x 5:6 x 7 x 8 S SD: 27.0217 cents 5 x x 6 x 8 x 9 x 10 S SD: 6.8922 cents 6 x x 7:8 x 10:11 x 12 S SD: 23.9630 cents 7 x 8 x 9:11:12 x 13:14 SD: 11.8975 cents 8 x 9 x 10:13 x 14:15:16 SD: 8.4872 cents 9 x 10 x 11:14:15:16:17:18 SD: 9.3783 cents 10 x 11:12:13:16:17:18:19:20 SD: 9.5310 cents 11 x 12:13:14:18:19:20:21:22 SD: 11.4523 cents 12:13 x 14:15:19:20:21:23:24 SD: 8.5453 cents 13:14 x 15:16:21:22:23:25:26 SD: 9.8828 cents 14:15:16:17:18:22:24:25:26:28 SD: 9.4406 cents 15:16:17:18:19:24:25:27:28:30 SD: 5.3335 cents 16:17:18:19:20:25:27:29:30:32 SD: 5.1099 cents 17:18:19:20:21:27:29:30:32:34 SD: 4.7352 cents 27:29:30:32:34:43:45:48:51:54 SD: 3.9523 cents 31:33:35:37:39:49:52:55:59:62 SD: 3.3351 cents 32:34:36:38:40:51:54:57:60:64 SD: 1.9466 cents 50:53:56:59:63:80:84:89:94:100 SD: 1.8981 cents 51:54:57:60:64:81:86:91:96:102 SD: 1.7717 cents 64:68:72:76:80:102:108:114:121:128 SD: 1.4860 cents 66:70:74:78:83:105:111:118:125:132 SD: 1.2431 cents 82:87:92:97:103:131:138:146:155:164 SD: 1.1271 cents 83:88:93:98:104:132:140:148:157:166 SD: 1.0976 cents 86:91:96:102:108:137:145:153:162:172 SD: 0.9824 cents 98:104:110:116:123:156:165:175:185:196 SD: 0.7891 cents 117:124:131:139:147:186:197:209:221:234 SD: 0.6705 cents 133:141:149:158:167:212:224:237:251:266 SD: 0.5874 cents 134:142:150:159:168:213:226:239:253:268 SD: 0.5396 cents 172:182:193:204:216:274:290:307:325:344 SD: 0.4903 cents 184:195:206:218:231:293:310:328:347:368 SD: 0.4372 cents 240:254:269:285:301:382:404:428:453:480 SD: 0.4069 cents 242:256:271:287:304:385:408:432:457:484 SD: 0.3834 cents 257:272:288:305:323:409:433:458:485:513 SD: 0.3655 cents 258:273:289:306:324:411:435:460:487:515 SD: 0.3058 cents 274:290:307:325:344:436:462:489:517:547 SD: 0.2863 cents 291:308:326:345:365:463:490:519:549:581 SD: 0.2774 cents 340:360:381:403:427:541:573:606:642:679 SD: 0.2355 cents 356:377:399:422:447:567:600:635:672:711 SD: 0.2223 cents 365:386:409:433:458:581:615:651:689:729 SD: 0.2153 cents 392:415:439:465:492:624:660:699:740:783 SD: 0.1805 cents 463:490:519:549:581:737:780:826:874:925 SD: 0.1446 cents 517:547:579:613:649:823:871:922:976:1033 SD: 0.1244 cents 549:581:615:651:689:874:925:979:1036:1097 SD: 0.0950 cents