Scala analysis: xen18-erlich-cynder-11
5L 6s MOS for Cynder, L=193.42, s=39.10
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 39.100 cents 39.100000 2: 232.520 cents 232.520000 3: 271.620 cents 271.620000 4: 465.040 cents 465.040000 5: 504.140 cents 504.140000 6: 697.560 cents 697.560000 7: 736.660 cents 736.660000 8: 930.080 cents 930.080000 9: 969.180 cents 969.180000 10: 1162.600 cents 1162.600000 11: 1201.700 cents 1201.700000
SHOW/INTERVAL
0: 39.1000 cents 39.1000 1: 39.1000 cents 39.1000 2: 193.4200 cents 193.4200 3: 39.1000 cents 39.1000 4: 193.4200 cents 193.4200 5: 39.1000 cents 39.1000 6: 193.4200 cents 193.4200 7: 39.1000 cents 39.1000 8: 193.4200 cents 193.4200 9: 39.1000 cents 39.1000 10: 193.4200 cents 193.4200 11: 39.1000 cents 39.1000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 6 39.10000 cents 1: 5 193.42000 cents 2: 1 78.20000 cents 2: 10 232.52000 cents 3: 7 271.62000 cents 3: 4 425.94000 cents 4: 2 310.72000 cents 4: 9 465.04000 cents 5: 8 504.14000 cents 5: 3 658.46000 cents 6: 3 543.24000 cents 6: 8 697.56000 cents 7: 9 736.66000 cents 7: 2 890.98000 cents 8: 4 775.76000 cents 8: 7 930.08000 cents 9: 10 969.18000 cents 9: 1 1123.50000 cents 10: 5 1008.28000 cents 10: 6 1162.60000 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 : 39.1 232.5 271.6 465.0 504.1 697.6 736.7 930.1 969.2 1162.6 1201.7 39.1 : 193.4 232.5 425.9 465.0 658.5 697.6 891.0 930.1 1123.5 1162.6 1201.7 232.5 : 39.1 232.5 271.6 465.0 504.1 697.6 736.7 930.1 969.2 1008.3 1201.7 271.6 : 193.4 232.5 425.9 465.0 658.5 697.6 891.0 930.1 969.2 1162.6 1201.7 465.0 : 39.1 232.5 271.6 465.0 504.1 697.6 736.7 775.8 969.2 1008.3 1201.7 504.1 : 193.4 232.5 425.9 465.0 658.5 697.6 736.7 930.1 969.2 1162.6 1201.7 697.6 : 39.1 232.5 271.6 465.0 504.1 543.2 736.7 775.8 969.2 1008.3 1201.7 736.7 : 193.4 232.5 425.9 465.0 504.1 697.6 736.7 930.1 969.2 1162.6 1201.7 930.1 : 39.1 232.5 271.6 310.7 504.1 543.2 736.7 775.8 969.2 1008.3 1201.7 969.2 : 193.4 232.5 271.6 465.0 504.1 697.6 736.7 930.1 969.2 1162.6 1201.7 1162.6: 39.1 78.2 271.6 310.7 504.1 543.2 736.7 775.8 969.2 1008.3 1201.7 1201.7
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 39.1000 .. 193.4200 cents 154.32000 cents 39.10000 cents 2: 78.2000 .. 232.5200 cents 154.32000 cents -115.22000 cents 3: 271.6200 .. 425.9400 cents 154.32000 cents 39.10000 cents 4: 310.7200 .. 465.0400 cents 154.32000 cents -115.22000 cents 5: 504.1400 .. 658.4600 cents 154.32000 cents 39.10000 cents 6: 543.2400 .. 697.5600 cents 154.32000 cents -115.22000 cents 7: 736.6600 .. 890.9800 cents 154.32000 cents 39.10000 cents 8: 775.7600 .. 930.0800 cents 154.32000 cents -115.22000 cents 9: 969.1800 .. 1123.5000 cents 154.32000 cents 39.10000 cents 10: 1008.2800 .. 1162.6000 cents 154.32000 cents -115.22000 cents
SHOW DATA
Number of notes : 11 -- Interval properties -- Smallest interval : 39.10000 cents, class 1 Average step (divided formal octave): 109.2455 cents Largest one step interval : 193.42000 cents Average / Smallest step : 2.794001 Largest / Average step : 1.770508 Largest / Smallest step : 4.946803 Median interval of one step : 39.10000 cents, amount: 6 Most common interval of one step : 39.10000 cents, amount: 6 Least squares average step : 110.77036 cents, oct.: 1218.47391 cents Scale is not proper Scale has Myhill's property chromas: 154.32000 cents and 115.22000 cents, ratio: 1.339351 generators: 2 of 232.52000 cents and 9 of 969.18000 cents ET pair of linear temperament : 26&31 Scale is distributional even Scale is a mode of a 584-tone equal temperament with octave 1201.700 cents degrees: 19 113 132 226 245 339 358 452 471 565 584 generators: 113 and 471 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABABABABABA Step pattern size order : SLSLSLSLSLS Scale is a Constant Structure, by a margin of 39.10000 cents Scale diversity : 1.152945 Lumma stability : 0.195223 Lumma impropriety factor : 0.479404 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 : 39.10000 cents Most common intervals : 232.52000 cents & inv., amount: 10 Scale is a chain of 5 triads 0.0 232.520 465.040 cents Most common triad is 0.0 232.520 969.180 cents, amount: 9 Number of recognisable fifths : 8, average 697.5600 cents Number of recognisable fourths : 8, average 504.1400 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 2 0 2 0 2 0 2 1 1 1 N T3 SD: 49.0591 c. M: 81.1873 c. 12: 0 2 1 2 0 2 0 2 1 2 0 N I SD: 29.1758 c. M: 39.1000 c. 14: 0 3 0 2 1 2 1 2 0 3 0 N I SD: 26.1347 c. M: 39.1000 c. 16: 1 2 1 2 1 2 1 2 1 2 1 P M ME I SD: 22.7724 c. M: 36.0063 c. Gorgo-11 17: 1 2 1 3 0 3 0 3 1 2 1 N I SD: 21.3788 c. M: 31.5882 c. 19: 1 3 0 3 1 3 1 3 0 3 1 N I SD: 18.3414 c. M: 24.1474 c. 21: 1 3 1 3 1 3 1 3 1 3 1 N M DE I SD: 11.4625 c. M: 18.1238 c. Gorgo-11 26: 1 4 1 4 1 4 1 4 1 4 1 N M DE I SD: 4.5026 c. M: 7.1192 c. 31: 1 5 1 5 1 5 1 5 1 5 1 N M DE I SD: 0.2122 c. M: 0.3355 c. 305: 10 49 10 49 10 49 10 49 10 49 10 N M DE I SD: 0.1897 c. M: 0.3000 c. 336: 11 54 11 54 11 54 11 54 11 54 11 N M DE I SD: 0.1527 c. M: 0.2414 c. 367: 12 59 12 59 12 59 12 59 12 59 12 N M DE I SD: 0.1218 c. M: 0.1926 c. 398: 13 64 13 64 13 64 13 64 13 64 13 N M DE I SD: 0.0958 c. M: 0.1515 c. 429: 14 69 14 69 14 69 14 69 14 69 14 N M DE I SD: 0.0736 c. M: 0.1163 c. 460: 15 74 15 74 15 74 15 74 15 74 15 N M DE I SD: 0.0543 c. M: 0.0859 c. 491: 16 79 16 79 16 79 16 79 16 79 16 N M DE I SD: 0.0375 c. M: 0.0593 c. 522: 17 84 17 84 17 84 17 84 17 84 17 N M DE I SD: 0.0227 c. M: 0.0358 c. 553: 18 89 18 89 18 89 18 89 18 89 18 N M DE I SD: 0.0095 c. M: 0.0150 c. 584: 19 94 19 94 19 94 19 94 19 94 19 N M DE I SD: 0.0023 c. M: 0.0036 c. 1721: 56 277 56 277 56 277 56 277 56 277 56 N M DE I SD: 0.0015 c. M: 0.0024 c. 2305: 75 371 75 371 75 371 75 371 75 371 75 N M DE I SD: 0.0005 c. M: 0.0009 c.
FIT/HARMONIC
1 x x x x x x x x x x 2 S SD: 1.7000 cents 2 x x x x x 3 x x x x 4 S SD: 2.3562 cents 3 x x x x 4 x x 5 x x 6 S SD: 15.3857 cents 4 x x x 5 x 6 x x 7 x 8 S SD: 19.7170 cents 5 x x 6 x 7 x 8 x 9 x 10 S SD: 25.5814 cents 6 x x 7 x 8:9 x 10:11 x 12 S SD: 15.4575 cents 7 x 8 x 9 x 10:11:12 x x 14 S SD: 16.1791 cents 8 x 9 x 10:11:12 x x 14 x 16 S SD: 16.0420 cents 9 x 10:11 x 12:13:14:15:16 x 18 S SD: 15.6237 cents 10 x 11:12:13 x 15 x 17:18 x 20 SD: 13.6357 cents 11 x x 13:14:15:16:17:19 x x 22 SD: 11.5927 cents 12 x x 14 x 16:18 x x 21:23:24 SD: 6.2324 cents 13:14:15 x 17 x 19:20:22:23:25:26 SD: 11.9505 cents 14:15:16 x 18:19:21 x 24:25:27:28 SD: 11.0220 cents 15:16:17:18 x 20:22:23 x 26:29:30 SD: 10.7988 cents 16:17:18:19:21 x 24 x 27:28:31:32 SD: 9.1463 cents 17:18:19:20:22:23:25:26:29:30:33:34 SD: 7.7790 cents 18:19 x 21 x 24:27:28:31:32:35:36 SD: 7.7191 cents 19:20 x 22:25 x 28:29 x 33:37:38 SD: 7.7651 cents 20:21:23 x 26:27:30:31:34:35:39:40 SD: 5.6420 cents 22:23:25:26:29 x 33:34:38:39:43:44 SD: 5.5697 cents 23:24:26:27:30:31:34:35:39:40:45:46 SD: 4.7570 cents 24:25:27:28:31:32:36:37:41:42:47:48 SD: 4.5919 cents 25:26 x 29:33 x 37:38:43:44:49:50 SD: 4.9175 cents 26:27:30 x 34:35:39:40:44:46:51:52 SD: 4.3206 cents 27:28:31:32:35:36:40:41:46:47:53:54 SD: 4.1244 cents 28:29:32:33:37 x 42:43:48:49:55:56 SD: 3.2359 cents 30:31:34:35:39:40:45:46:51:53:59:60 SD: 3.1892 cents 31:32:35:36:41 x 46:47:53:54:61:62 SD: 4.3647 cents 32:33:37 x 42:43:48:49:55:56:63:64 SD: 2.8735 cents 35:36:40:41:46:47:52:54:60:61:69:70 SD: 2.5298 cents 36:37:41:42:47:48:54:55:62:63:70:72 SD: 1.9866 cents 41:42:47:48:54:55:61:63:70:72:80:82 SD: 1.8307 cents 42:43:48:49:55:56:63:64:72:74:82:84 SD: 1.5813 cents 48:49:55:56:63:64:72:73:82:84:94:96 SD: 1.4756 cents 71:73:81:83:93:95:106:109:122:124:139:142 SD: 1.3459 cents 75:77:86:88:98:100:112:115:128:131:147:150 SD: 1.2679 cents 76:78:87:89:99:102:114:116:130:133:149:152 SD: 1.1972 cents 77:79:88:90:101:103:115:118:132:135:151:154 SD: 0.9139 cents 83:85:95:97:109:111:124:127:142:145:162:166 SD: 0.9071 cents 89:91:102:104:116:119:133:136:152:156:174:178 SD: 0.8809 cents 113:116:129:132:148:151:169:173:193:198:221:226 SD: 0.8437 cents 117:120:134:137:153:157:175:179:200:205:229:234 SD: 0.7361 cents 119:122:136:139:156:159:178:182:204:208:233:238 SD: 0.7293 cents 124:127:142:145:162:166:186:190:212:217:243:248 SD: 0.6447 cents 139:142:159:163:182:186:208:213:238:243:272:278 SD: 0.5592 cents 159:163:182:186:208:213:238:243:272:278:311:318 SD: 0.5430 cents 166:170:190:194:217:222:248:254:284:291:325:332 SD: 0.4847 cents 181:185:207:212:237:242:271:277:310:317:354:362 SD: 0.4009 cents 217:222:248:254:284:290:325:332:371:380:425:434 SD: 0.3909 cents 224:229:256:262:293:300:335:343:383:392:438:448 SD: 0.3509 cents 260:266:297:304:340:348:389:398:445:455:509:521 SD: 0.2828 cents 264:270:302:309:345:353:395:404:452:462:517:529 SD: 0.2826 cents 305:312:349:357:399:408:456:467:522:534:597:611 SD: 0.2163 cents 347:355:397:406:454:464:519:531:594:607:679:695 SD: 0.1908 cents 405:414:463:474:530:542:606:620:693:709:793:811 SD: 0.1790 cents 441:451:504:516:577:590:660:675:755:772:863:883 SD: 0.1622 cents 488:499:558:571:638:653:730:747:835:854:955:977 SD: 0.1337 cents 530:542:606:620:693:709:793:811:907:928:1037:1061 SD: 0.1260 cents 536:548:613:627:701:717:802:820:917:938:1049:1073 SD: 0.1195 cents 564:577:645:660:738:755:844:863:965:987:1104:1129 SD: 0.1182 cents 565:578:646:661:739:756:845:865:967:989:1106:1131 SD: 0.1153 cents