Scala analysis: xen18-erlich-passion-10
1L 9s MOS for Passion, L=312.71, 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: 706.310 cents 706.310000 6: 804.710 cents 804.710000 7: 903.110 cents 903.110000 8: 1001.510 cents 1001.510000 9: 1099.910 cents 1099.910000 10: 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: 312.7100 cents 312.7100 6: 98.4000 cents 98.4000 7: 98.4000 cents 98.4000 8: 98.4000 cents 98.4000 9: 98.4000 cents 98.4000 10: 98.4000 cents 98.4000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 9 98.40000 cents 1: 1 312.71000 cents 2: 8 196.80000 cents 2: 2 411.11000 cents 3: 7 295.20000 cents 3: 3 509.51000 cents 4: 6 393.60000 cents 4: 4 607.91000 cents 5: 5 492.00000 cents 5: 5 706.31000 cents 6: 4 590.40000 cents 6: 6 804.71000 cents 7: 3 688.80000 cents 7: 7 903.11000 cents 8: 2 787.20000 cents 8: 8 1001.51000 cents 9: 1 885.60000 cents 9: 9 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 0.0 : 98.4 196.8 295.2 393.6 706.3 804.7 903.1 1001.5 1099.9 1198.3 98.4 : 98.4 196.8 295.2 607.9 706.3 804.7 903.1 1001.5 1099.9 1198.3 196.8 : 98.4 196.8 509.5 607.9 706.3 804.7 903.1 1001.5 1099.9 1198.3 295.2 : 98.4 411.1 509.5 607.9 706.3 804.7 903.1 1001.5 1099.9 1198.3 393.6 : 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 1198.3 804.7 : 98.4 196.8 295.2 393.6 492.0 590.4 688.8 787.2 1099.9 1198.3 903.1 : 98.4 196.8 295.2 393.6 492.0 590.4 688.8 1001.5 1099.9 1198.3 1001.5: 98.4 196.8 295.2 393.6 492.0 590.4 903.1 1001.5 1099.9 1198.3 1099.9: 98.4 196.8 295.2 393.6 492.0 804.7 903.1 1001.5 1099.9 1198.3 1198.3
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 98.4000 .. 312.7100 cents 214.31000 cents 98.40000 cents 2: 196.8000 .. 411.1100 cents 214.31000 cents -115.91000 cents 3: 295.2000 .. 509.5100 cents 214.31000 cents -115.91000 cents 4: 393.6000 .. 607.9100 cents 214.31000 cents -115.91000 cents 5: 492.0000 .. 706.3100 cents 214.31000 cents -115.91000 cents 6: 590.4000 .. 804.7100 cents 214.31000 cents -115.91000 cents 7: 688.8000 .. 903.1100 cents 214.31000 cents -115.91000 cents 8: 787.2000 .. 1001.5100 cents 214.31000 cents -115.91000 cents 9: 885.6000 .. 1099.9100 cents 214.31000 cents -115.91000 cents
SHOW DATA
Number of notes : 10 -- Interval properties -- Smallest interval : 98.40000 cents, class 1 Average step (divided formal octave): 119.8310 cents Largest one step interval : 312.71000 cents Average / Smallest step : 1.217795 Largest / Average step : 2.609592 Largest / Smallest step : 3.177947 Median interval of one step : 98.40000 cents, amount: 9 Most common interval of one step : 98.40000 cents, amount: 9 Least squares average step : 123.44922 cents, oct.: 1234.49221 cents Scale is not proper Scale has Myhill's property chromas: 214.31000 cents and 115.91000 cents, ratio: 1.848935 generators: 1 of 98.40000 cents and 9 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: 73 146 219 292 524 597 670 743 816 889 generators: 73 and 816 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAAABAAAAA Step pattern size order : SSSSLSSSSS Scale is a Constant Structure, by a margin of 17.51000 cents Scale diversity : 1.160752 Lumma stability : 0.164231 Lumma impropriety factor : 0.671537 Rothenberg efficiency : 0.733333 redundancy: 0.266667 Efficiency x scale size : 7.333333 Number of different interval sizes : 18 = 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: 9 Scale is a chain of 5 triads 0.0 393.600 1099.910 cents Number of recognisable fifths : 8, average 699.7438 cents Number of appreciable fifths : 5, average 706.3100 cents Number of recognisable fourths : 8, average 498.5662 cents Scale contains two identical disjunct pentachords Formal octave complements present : 9 = 90.0000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 9 Inversional symmetry on intervals : 4-5 9-10 -- Rational properties --
FIT/MODE
10: 0 1 1 1 2 1 1 1 1 1 N T3 SD: 67.1680 c. M: 107.1550 c. 11: 1 1 1 1 2 1 1 1 1 1 P M ME SD: 30.7212 c. M: 52.6864 c. 12: 1 1 1 1 3 1 1 1 1 1 N M DE SD: 4.2542 c. M: 7.2958 c. 37: 3 3 3 3 10 3 3 3 3 3 N M DE SD: 3.6144 c. M:-6.1986 c. 49: 4 4 4 4 13 4 4 4 4 4 N M DE SD: 1.6874 c. M:-2.8939 c. 61: 5 5 5 5 16 5 5 5 5 5 N M DE SD: 0.5186 c. M:-0.8893 c. 73: 6 6 6 6 19 6 6 6 6 6 N M DE SD: 0.2660 c. M: 0.4562 c. 134: 11 11 11 11 35 11 11 11 11 11 N M DE SD: 0.0912 c. M:-0.1563 c. 207: 17 17 17 17 54 17 17 17 17 17 N M DE SD: 0.0348 c. M: 0.0597 c. 341: 28 28 28 28 89 28 28 28 28 28 N M DE SD: 0.0147 c. M:-0.0252 c. 548: 45 45 45 45 143 45 45 45 45 45 N M DE SD: 0.0040 c. M: 0.0068 c. 889: 73 73 73 73 232 73 73 73 73 73 N M DE SD: 0.0032 c. M:-0.0055 c. 1437: 118 118 118 118 375 118 118 118 118 118 N M DE SD: 0.0004 c. M:-0.0008 c.
FIT/HARMONIC
1 x x x x x x x x x 2 S SD: 1.6900 cents 2 x x x x 3 x x x x 4 S SD: 2.3357 cents 3 x x x 4 x x 5 x x 6 S SD: 35.3761 cents 4 x x x 5:6 x x 7 x 8 S SD: 8.4527 cents 5 x x 6 x x 8 x 9 x 10 S SD: 6.8922 cents 6 x x 7:8:9 x 10:11 x 12 S SD: 19.9824 cents 7 x 8 x 9 x 11:12 x 13:14 SD: 11.8975 cents 8 x 9 x 10:12:13 x 14:15:16 S SD: 7.3013 cents 9 x 10 x 11 x 14:15:16:17:18 SD: 9.3783 cents 10 x 11:12:13:15:16:17:18:19:20 SD: 8.4858 cents 11 x 12:13:14:17:18:19:20:21:22 SD: 11.4578 cents 12:13 x 14:15:18:19:20:21:23:24 SD: 7.6112 cents 13:14 x 15:16:20:21:22:23:25:26 SD: 9.8189 cents 14:15:16:17:18:21:22:24:25:26:28 S SD: 8.5077 cents 15:16:17:18:19:23:24:25:27:28:30 SD: 5.8648 cents 16:17:18:19:20:24:25:27:29:30:32 SD: 4.6195 cents 26:28:29:31:33:39:41:44:46:49:52 SD: 4.4122 cents 27:29:30:32:34:41:43:45:48:51:54 SD: 3.9376 cents 28:30:31:33:35:42:45:47:50:53:56 SD: 3.7485 cents 31:33:35:37:39:47:49:52:55:59:62 SD: 3.3189 cents 32:34:36:38:40:48:51:54:57:60:64 S SD: 1.8053 cents 50:53:56:59:63:75:80:84:89:94:100 SD: 1.7629 cents 51:54:57:60:64:77:81:86:91:96:102 SD: 1.7383 cents 59:62:66:70:74:89:94:99:105:111:118 SD: 1.7256 cents 64:68:72:76:80:96:102:108:114:121:128 SD: 1.4065 cents 66:70:74:78:83:99:105:111:118:125:132 SD: 1.2006 cents 82:87:92:97:103:123:131:138:146:155:164 SD: 1.1040 cents 83:88:93:98:104:125:132:140:148:157:166 SD: 1.0211 cents 86:91:96:102:108:129:137:145:153:162:172 SD: 0.9856 cents 91:96:102:108:114:137:145:153:162:172:182 SD: 0.9244 cents 98:104:110:116:123:147:156:165:175:185:196 SD: 0.8331 cents 101:107:113:120:127:152:161:170:180:191:202 SD: 0.7251 cents 117:124:131:139:147:176:186:197:209:221:234 SD: 0.6062 cents 133:141:149:158:167:200:212:224:237:251:266 SD: 0.5287 cents 157:166:176:186:197:236:250:265:280:296:314 SD: 0.5134 cents 172:182:193:204:216:259:274:290:307:325:344 SD: 0.4996 cents 184:195:206:218:231:277:293:310:328:347:368 SD: 0.4372 cents 216:229:242:256:271:325:344:364:385:408:432 SD: 0.4077 cents 240:254:269:285:301:361:382:404:428:453:480 SD: 0.3690 cents 242:256:271:287:304:364:385:408:432:457:484 SD: 0.3475 cents 258:273:289:306:324:388:411:435:460:487:515 SD: 0.2754 cents 274:290:307:325:344:412:436:462:489:517:547 SD: 0.2581 cents 340:360:381:403:427:511:541:573:606:642:679 SD: 0.2329 cents 356:377:399:422:447:535:567:600:635:672:711 SD: 0.2291 cents 365:386:409:433:458:549:581:615:651:689:729 SD: 0.1975 cents 407:431:456:483:511:612:648:686:726:768:813 SD: 0.1906 cents 431:456:483:511:541:648:686:726:769:814:861 SD: 0.1692 cents 463:490:519:549:581:696:737:780:826:874:925 SD: 0.1441 cents 532:563:596:631:668:800:847:896:949:1004:1063 SD: 0.1184 cents 564:597:632:669:708:848:898:950:1006:1065:1127 SD: 0.1107 cents