Scala analysis: xen18-erlich-passion-08
1L 7s MOS for Passion, L=509.51, 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: 804.710 cents 804.710000 5: 903.110 cents 903.110000 6: 1001.510 cents 1001.510000 7: 1099.910 cents 1099.910000 8: 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: 509.5100 cents 509.5100 5: 98.4000 cents 98.4000 6: 98.4000 cents 98.4000 7: 98.4000 cents 98.4000 8: 98.4000 cents 98.4000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 7 98.40000 cents 1: 1 509.51000 cents 2: 6 196.80000 cents 2: 2 607.91000 cents 3: 5 295.20000 cents 3: 3 706.31000 cents 4: 4 393.60000 cents 4: 4 804.71000 cents 5: 3 492.00000 cents 5: 5 903.11000 cents 6: 2 590.40000 cents 6: 6 1001.51000 cents 7: 1 688.80000 cents 7: 7 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 0.0 : 98.4 196.8 295.2 804.7 903.1 1001.5 1099.9 1198.3 98.4 : 98.4 196.8 706.3 804.7 903.1 1001.5 1099.9 1198.3 196.8 : 98.4 607.9 706.3 804.7 903.1 1001.5 1099.9 1198.3 295.2 : 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 1198.3 903.1 : 98.4 196.8 295.2 393.6 492.0 590.4 1099.9 1198.3 1001.5: 98.4 196.8 295.2 393.6 492.0 1001.5 1099.9 1198.3 1099.9: 98.4 196.8 295.2 393.6 903.1 1001.5 1099.9 1198.3 1198.3
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 98.4000 .. 509.5100 cents 411.11000 cents 98.40000 cents 2: 196.8000 .. 607.9100 cents 411.11000 cents -312.71000 cents 3: 295.2000 .. 706.3100 cents 411.11000 cents -312.71000 cents 4: 393.6000 .. 804.7100 cents 411.11000 cents -312.71000 cents 5: 492.0000 .. 903.1100 cents 411.11000 cents -312.71000 cents 6: 590.4000 .. 1001.5100 cents 411.11000 cents -312.71000 cents 7: 688.8000 .. 1099.9100 cents 411.11000 cents -312.71000 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 98.40000 cents, class 1 Average step (divided formal octave): 149.7887 cents Largest one step interval : 509.51000 cents Average / Smallest step : 1.522243 Largest / Average step : 3.401524 Largest / Smallest step : 5.177947 Median interval of one step : 98.40000 cents, amount: 7 Most common interval of one step : 98.40000 cents, amount: 7 Least squares average step : 158.85735 cents, oct.: 1270.85882 cents Scale is not proper Scale has Myhill's property chromas: 411.11000 cents and 312.71000 cents, ratio: 1.314669 generators: 1 of 98.40000 cents and 7 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 90 135 368 413 458 503 548 generators: 45 and 503 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAABAAAA Step pattern size order : SSSLSSSS Scale is a Constant Structure, by a margin of 17.51000 cents Scale diversity : 1.233284 Lumma stability : 0.164231 Lumma impropriety factor : 0.671537 Rothenberg efficiency : 0.750000 redundancy: 0.250000 Efficiency x scale size : 6.000000 Number of different interval sizes : 14 = 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: 7 Scale is a chain of 4 triads 0.0 295.200 1099.910 cents Number of recognisable fifths : 4, average 701.9325 cents Number of appreciable fifths : 3, average 706.3100 cents Number of recognisable fourths : 4, average 496.3775 cents Scale contains two identical disjunct tetrachords Formal octave complements present : 7 = 87.5000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 7 Inversional symmetry on intervals : 3-4 7-8 -- Rational properties --
FIT/MODE
8: 0 1 1 3 1 0 1 1 N SD: 59.4189 c. M: 102.7775 c. 9: 0 1 1 4 1 0 1 1 N SD: 51.8124 c. M: 98.4000 c. 11: 1 1 1 4 1 1 1 1 N M DE SD: 24.7121 c. M: 42.1491 c. 12: 1 1 1 5 1 1 1 1 N M DE SD: 3.4220 c. M: 5.8367 c. 37: 3 3 3 16 3 3 3 3 N M DE SD: 2.9074 c. M:-4.9589 c. 49: 4 4 4 21 4 4 4 4 N M DE SD: 1.3573 c. M:-2.3151 c. 61: 5 5 5 26 5 5 5 5 N M DE SD: 0.4171 c. M:-0.7115 c. 73: 6 6 6 31 6 6 6 6 N M DE SD: 0.2140 c. M: 0.3649 c. 134: 11 11 11 57 11 11 11 11 N M DE SD: 0.0733 c. M:-0.1251 c. 207: 17 17 17 88 17 17 17 17 N M DE SD: 0.0280 c. M: 0.0477 c. 341: 28 28 28 145 28 28 28 28 N M DE SD: 0.0118 c. M:-0.0202 c. 548: 45 45 45 233 45 45 45 45 N M DE SD: 0.0032 c. M: 0.0055 c. 889: 73 73 73 378 73 73 73 73 N M DE SD: 0.0026 c. M:-0.0044 c. 1437: 118 118 118 611 118 118 118 118 N M DE SD: 0.0004 c. M:-0.0006 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 1.6900 cents 2 x x x 3 x x x 4 S SD: 51.3844 cents 3 x x 4 x 5 x x 6 S SD: 67.9056 cents 4 x x 5:6 x 7 x 8 S SD: 35.2947 cents 5 x x 6:8 x 9 x 10 S SD: 6.8922 cents 6 x x 7 x 10:11 x 12 SD: 14.6776 cents 7 x 8 x 11:12 x 13:14 SD: 11.6188 cents 8 x 9:10:13 x 14:15:16 SD: 17.3540 cents 9 x 10:11:14:15:16:17:18 SD: 10.0017 cents 10 x 11:12:16:17:18:19:20 S SD: 6.6081 cents 11 x 12:13:18:19:20:21:22 SD: 12.6349 cents 12:13 x 14:19:20:21:23:24 SD: 9.7104 cents 13:14 x 15:21:22:23:25:26 SD: 10.1882 cents 14:15:16:17:22:24:25:26:28 SD: 9.2687 cents 15:16:17:18:24:25:27:28:30 SD: 5.6726 cents 17:18:19:20:27:29:30:32:34 SD: 4.0403 cents 31:33:35:37:49:52:55:59:62 SD: 3.7210 cents 32:34:36:38:51:54:57:60:64 SD: 1.9916 cents 50:53:56:59:80:84:89:94:100 SD: 1.9743 cents 64:68:72:76:102:108:114:121:128 SD: 1.4018 cents 66:70:74:78:105:111:118:125:132 SD: 1.3410 cents 69:73:77:82:110:116:123:130:138 SD: 1.2309 cents 83:88:93:98:132:140:148:157:166 SD: 1.1717 cents 86:91:96:102:137:145:153:162:172 SD: 1.1013 cents 91:96:102:108:145:153:162:172:182 SD: 1.0414 cents 98:104:110:116:156:165:175:185:196 SD: 0.8872 cents 101:107:113:120:161:170:180:191:202 SD: 0.8095 cents 117:124:131:139:186:197:209:221:234 SD: 0.7284 cents 124:131:139:147:197:209:221:234:248 SD: 0.6586 cents 133:141:149:158:212:224:237:251:266 SD: 0.6578 cents 134:142:150:159:213:226:239:253:268 SD: 0.5458 cents 167:177:187:198:266:281:298:315:334 SD: 0.5364 cents 184:195:206:218:293:310:328:347:368 SD: 0.4910 cents 206:218:231:244:328:347:367:389:412 SD: 0.4613 cents 222:235:249:263:353:374:396:419:444 SD: 0.4531 cents 225:238:252:267:358:379:401:425:450 SD: 0.3718 cents 241:255:270:286:384:406:430:455:482 SD: 0.3681 cents 257:272:288:305:409:433:458:485:513 SD: 0.3145 cents 291:308:326:345:463:490:519:549:581 SD: 0.2627 cents 323:342:362:383:514:544:576:610:645 SD: 0.2126 cents 392:415:439:465:624:660:699:740:783 SD: 0.2010 cents 409:433:458:485:651:689:729:772:817 SD: 0.1789 cents 463:490:519:549:737:780:826:874:925 SD: 0.1463 cents 517:547:579:613:823:871:922:976:1033 SD: 0.1398 cents 532:563:596:631:847:896:949:1004:1063 SD: 0.1338 cents 549:581:615:651:874:925:979:1036:1097 SD: 0.0968 cents 581:615:651:689:925:979:1036:1097:1161 SD: 0.0881 cents