Scala analysis: xen18-erlich-passion-07
1L 6s MOS for Passion, L=607.91, 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: 903.110 cents 903.110000 5: 1001.510 cents 1001.510000 6: 1099.910 cents 1099.910000 7: 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: 607.9100 cents 607.9100 5: 98.4000 cents 98.4000 6: 98.4000 cents 98.4000 7: 98.4000 cents 98.4000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 6 98.40000 cents 1: 1 607.91000 cents 2: 5 196.80000 cents 2: 2 706.31000 cents 3: 4 295.20000 cents 3: 3 804.71000 cents 4: 3 393.60000 cents 4: 4 903.11000 cents 5: 2 492.00000 cents 5: 5 1001.51000 cents 6: 1 590.40000 cents 6: 6 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 0.0 : 98.4 196.8 295.2 903.1 1001.5 1099.9 1198.3 98.4 : 98.4 196.8 804.7 903.1 1001.5 1099.9 1198.3 196.8 : 98.4 706.3 804.7 903.1 1001.5 1099.9 1198.3 295.2 : 607.9 706.3 804.7 903.1 1001.5 1099.9 1198.3 903.1 : 98.4 196.8 295.2 393.6 492.0 590.4 1198.3 1001.5: 98.4 196.8 295.2 393.6 492.0 1099.9 1198.3 1099.9: 98.4 196.8 295.2 393.6 1001.5 1099.9 1198.3 1198.3
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 98.4000 .. 607.9100 cents 509.51000 cents 98.40000 cents 2: 196.8000 .. 706.3100 cents 509.51000 cents -411.11000 cents 3: 295.2000 .. 804.7100 cents 509.51000 cents -411.11000 cents 4: 393.6000 .. 903.1100 cents 509.51000 cents -411.11000 cents 5: 492.0000 .. 1001.5100 cents 509.51000 cents -411.11000 cents 6: 590.4000 .. 1099.9100 cents 509.51000 cents -411.11000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 98.40000 cents, class 1 Average step (divided formal octave): 171.1871 cents Largest one step interval : 607.91000 cents Average / Smallest step : 1.739707 Largest / Average step : 3.551143 Largest / Smallest step : 6.177947 Median interval of one step : 98.40000 cents, amount: 6 Most common interval of one step : 98.40000 cents, amount: 6 Least squares average step : 178.46586 cents, oct.: 1249.26100 cents Scale is not proper Scale has Myhill's property chromas: 509.51000 cents and 411.11000 cents, ratio: 1.239352 generators: 1 of 98.40000 cents and 6 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 90 135 413 458 503 548 generators: 45 and 503 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAABAAA Step pattern size order : SSSLSSS Scale is a Constant Structure, by a margin of 17.51000 cents Scale diversity : 1.292219 Lumma stability : 0.164231 Lumma impropriety factor : 0.671537 Rothenberg efficiency : 0.761905 redundancy: 0.238095 Efficiency x scale size : 5.333333 Number of different interval sizes : 12 = 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: 6 Scale is a chain of 3 triads 0.0 295.200 1099.910 cents Number of recognisable fifths : 2, average 706.3100 cents Number of recognisable fourths : 2, average 492.0000 cents Scale contains two identical disjunct tetrachords Formal octave complements present : 7 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 3-4 -- Rational properties --
FIT/MODE
7: 1 0 1 3 1 0 1 N T3 I SD: 48.3422 c. M: 72.7871 c. 8: 1 0 1 4 1 0 1 N T3 I SD: 37.3019 c. M: 51.3888 c. 11: 1 1 1 5 1 1 1 N M DE I SD: 21.0745 c. M:-31.6118 c. 12: 1 1 1 6 1 1 1 N M DE I SD: 2.9183 c. M:-4.3775 c. 37: 3 3 3 19 3 3 3 N M DE I SD: 2.4795 c. M:-3.7192 c. 49: 4 4 4 25 4 4 4 N M DE I SD: 1.1576 c. M:-1.7363 c. 61: 5 5 5 31 5 5 5 N M DE I SD: 0.3557 c. M:-0.5336 c. 73: 6 6 6 37 6 6 6 N M DE I SD: 0.1825 c. M:-0.2737 c. 134: 11 11 11 68 11 11 11 N M DE I SD: 0.0625 c. M:-0.0938 c. 207: 17 17 17 105 17 17 17 N M DE I SD: 0.0239 c. M:-0.0358 c. 341: 28 28 28 173 28 28 28 N M DE I SD: 0.0101 c. M:-0.0151 c. 548: 45 45 45 278 45 45 45 N M DE I SD: 0.0027 c. M:-0.0041 c. 889: 73 73 73 451 73 73 73 N M DE I SD: 0.0022 c. M:-0.0033 c. 1437: 118 118 118 729 118 118 118 N M DE I SD: 0.0003 c. M:-0.0005 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 1.6900 cents 2 x x x 3 x x 4 S SD: 100.5810 cents 3 x x 4:5 x x 6 S SD: 67.9056 cents 4 x x 5 x 7 x 8 SD: 32.2711 cents 5 x x 6:8:9 x 10 S SD: 23.2864 cents 6 x x 7:10:11 x 12 SD: 14.6776 cents 7 x 8 x 12 x 13:14 S SD: 13.4194 cents 8 x 9:10:13:14:15:16 SD: 19.3473 cents 9 x 10:11:15:16:17:18 SD: 9.6004 cents 10 x 11:12:17:18:19:20 SD: 7.5629 cents 11 x 12:13:19:20:21:22 SD: 12.3937 cents 12:13 x 14:20:21:23:24 SD: 11.2257 cents 13:14 x 15:22:23:25:26 SD: 11.0977 cents 14:15:16:17:24:25:26:28 SD: 10.1061 cents 15:16:17:18:25:27:28:30 SD: 6.3548 cents 16:17:18:19:27:29:30:32 SD: 4.5906 cents 17:18:19:20:29:30:32:34 SD: 4.5855 cents 31:33:35:37:52:55:59:62 SD: 3.8859 cents 32:34:36:38:54:57:60:64 SD: 2.2543 cents 48:51:54:57:81:86:91:96 SD: 2.1677 cents 50:53:56:59:84:89:94:100 SD: 1.8565 cents 64:68:72:76:108:114:121:128 SD: 1.5709 cents 66:70:74:78:111:118:125:132 SD: 1.5273 cents 69:73:77:82:116:123:130:138 SD: 1.3532 cents 82:87:92:97:138:146:155:164 SD: 1.1201 cents 98:104:110:116:165:175:185:196 SD: 1.0138 cents 101:107:113:120:170:180:191:202 SD: 0.8513 cents 107:113:120:127:180:191:202:214 SD: 0.8234 cents 117:124:131:139:197:209:221:234 SD: 0.7733 cents 124:131:139:147:209:221:234:248 SD: 0.5887 cents 134:142:150:159:226:239:253:268 SD: 0.5243 cents 206:218:231:244:347:367:389:412 SD: 0.5213 cents 222:235:249:263:374:396:419:444 SD: 0.4511 cents 225:238:252:267:379:401:425:450 SD: 0.4140 cents 241:255:270:286:406:430:455:482 SD: 0.3353 cents 258:273:289:306:435:460:487:515 SD: 0.3202 cents 291:308:326:345:490:519:549:581 SD: 0.2822 cents 323:342:362:383:544:576:610:645 SD: 0.2351 cents 356:377:399:422:600:635:672:711 SD: 0.2329 cents 392:415:439:465:660:699:740:783 SD: 0.2290 cents 393:416:440:466:662:701:742:785 SD: 0.2126 cents 409:433:458:485:689:729:772:817 SD: 0.2044 cents 425:450:476:504:716:758:802:849 SD: 0.1518 cents 532:563:596:631:896:949:1004:1063 SD: 0.1411 cents 549:581:615:651:925:979:1036:1097 SD: 0.1029 cents 581:615:651:689:979:1036:1097:1161 SD: 0.0840 cents