Scala analysis: xen18-erlich-sensisept-11
8L 3s MOS for Sensisept, L=131.09, s=49.89
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 131.090 cents 131.090000 2: 180.980 cents 180.980000 3: 312.070 cents 312.070000 4: 443.160 cents 443.160000 5: 574.250 cents 574.250000 6: 624.140 cents 624.140000 7: 755.230 cents 755.230000 8: 886.320 cents 886.320000 9: 1017.410 cents 1017.410000 10: 1067.300 cents 1067.300000 11: 1198.390 cents 1198.390000
SHOW/INTERVAL
0: 131.0900 cents 131.0900 1: 131.0900 cents 131.0900 2: 49.8900 cents 49.8900 3: 131.0900 cents 131.0900 4: 131.0900 cents 131.0900 5: 131.0900 cents 131.0900 6: 49.8900 cents 49.8900 7: 131.0900 cents 131.0900 8: 131.0900 cents 131.0900 9: 131.0900 cents 131.0900 10: 49.8900 cents 49.8900 11: 131.0900 cents 131.0900
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 49.89000 cents 1: 8 131.09000 cents 2: 6 180.98000 cents 2: 5 262.18000 cents 3: 9 312.07000 cents 3: 2 393.27000 cents 4: 1 361.96000 cents 4: 10 443.16000 cents 5: 4 493.05000 cents 5: 7 574.25000 cents 6: 7 624.14000 cents 6: 4 705.34000 cents 7: 10 755.23000 cents 7: 1 836.43000 cents 8: 2 805.12000 cents 8: 9 886.32000 cents 9: 5 936.21000 cents 9: 6 1017.41000 cents 10: 8 1067.30000 cents 10: 3 1148.50000 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 : 131.1 181.0 312.1 443.2 574.3 624.1 755.2 886.3 1017.4 1067.3 1198.4 131.1 : 49.9 181.0 312.1 443.2 493.1 624.1 755.2 886.3 936.2 1067.3 1198.4 181.0 : 131.1 262.2 393.3 443.2 574.2 705.3 836.4 886.3 1017.4 1148.5 1198.4 312.1 : 131.1 262.2 312.1 443.2 574.2 705.3 755.2 886.3 1017.4 1067.3 1198.4 443.2 : 131.1 181.0 312.1 443.2 574.2 624.1 755.2 886.3 936.2 1067.3 1198.4 574.3 : 49.9 181.0 312.1 443.2 493.0 624.1 755.2 805.1 936.2 1067.3 1198.4 624.1 : 131.1 262.2 393.3 443.2 574.3 705.3 755.2 886.3 1017.4 1148.5 1198.4 755.2 : 131.1 262.2 312.1 443.2 574.2 624.1 755.2 886.3 1017.4 1067.3 1198.4 886.3 : 131.1 181.0 312.1 443.2 493.1 624.1 755.2 886.3 936.2 1067.3 1198.4 1017.4: 49.9 181.0 312.1 362.0 493.1 624.1 755.2 805.1 936.2 1067.3 1198.4 1067.3: 131.1 262.2 312.1 443.2 574.3 705.3 755.2 886.3 1017.4 1148.5 1198.4 1198.4
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 49.8900 .. 131.0900 cents 81.20000 cents 49.89000 cents 2: 180.9800 .. 262.1800 cents 81.20000 cents 49.89000 cents 3: 312.0700 .. 393.2700 cents 81.20000 cents 49.89000 cents 4: 361.9600 .. 443.1600 cents 81.20000 cents -31.31000 cents 5: 493.0500 .. 574.2500 cents 81.20000 cents 49.89000 cents 6: 624.1400 .. 705.3400 cents 81.20000 cents 49.89000 cents 7: 755.2300 .. 836.4300 cents 81.20000 cents 49.89000 cents 8: 805.1200 .. 886.3200 cents 81.20000 cents -31.31000 cents 9: 936.2100 .. 1017.4100 cents 81.20000 cents 49.89000 cents 10: 1067.3000 .. 1148.5000 cents 81.20000 cents 49.89000 cents
SHOW DATA
Number of notes : 11 -- Interval properties -- Smallest interval : 49.89000 cents, class 1 Average step (divided formal octave): 108.9445 cents Largest one step interval : 131.09000 cents Average / Smallest step : 2.183695 Largest / Average step : 1.203273 Largest / Smallest step : 2.627581 Median interval of one step : 131.09000 cents, amount: 8 Most common interval of one step : 131.09000 cents, amount: 8 Least squares average step : 109.10502 cents, oct.: 1200.15522 cents Scale is not proper Scale has Myhill's property chromas: 81.20000 cents and 31.31000 cents, ratio: 2.593421 generators: 4 of 443.16000 cents and 7 of 755.23000 cents ET pair of linear temperament : 19&27 Scale is distributional even Scale is a mode of a 1033-tone equal temperament with octave 1198.390 cents degrees: 113 156 269 382 495 538 651 764 877 920 1033 generators: 382 and 651 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAAABAAABA Step pattern size order : LSLLLSLLLSL Scale is a Constant Structure, by a margin of 31.31000 cents Scale diversity : 1.238349 Lumma stability : 0.374678 Lumma impropriety factor : 0.052253 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 : 31.31000 cents Most common intervals : 443.16000 cents & inv., amount: 10 Scale is a chain of 5 triads 0.0 443.160 886.320 cents Most common triad is 0.0 443.160 755.230 cents, amount: 9 Number of recognisable fifths : 4, average 705.3400 cents Number of recognisable fourths : 4, average 493.0500 cents Scale contains two identical conjunct pentachords 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: 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 23.3434 c. M:-36.9091 c. 15: 2 0 2 2 1 1 1 2 2 0 2 N T3 I SD: 22.8198 c. M:-36.1960 c. 16: 2 0 2 2 2 0 2 2 2 0 2 N M DE I SD: 19.7208 c. M:-31.1813 c. 18: 2 1 2 2 2 0 2 2 2 1 2 P D3 I SD: 18.7567 c. M:-24.9450 c. 19: 2 1 2 2 2 1 2 2 2 1 2 P M ME I SD: 5.2111 c. M:-8.2395 c. Mandelbaum Eleven out of 19 27: 3 1 3 3 3 1 3 3 3 1 3 N M DE I SD: 2.1761 c. M:-3.4407 c. 46: 5 2 5 5 5 2 5 5 5 2 5 N M DE I SD: 0.8751 c. M:-1.3837 c. 73: 8 3 8 8 8 3 8 8 8 3 8 N M DE I SD: 0.2534 c. M:-0.4007 c. 119: 13 5 13 13 13 5 13 13 13 5 13 N M DE I SD: 0.1828 c. M:-0.2891 c. 192: 21 8 21 21 21 8 21 21 21 8 21 N M DE I SD: 0.0170 c. M:-0.0268 c. 649: 71 27 71 71 71 27 71 71 71 27 71 N M DE I SD: 0.0134 c. M:-0.0213 c. 841: 92 35 92 92 92 35 92 92 92 35 92 N M DE I SD: 0.0065 c. M:-0.0103 c. 1033: 113 43 113 113 113 43 113 113 113 43 113 N M DE I SD: 0.0021 c. M:-0.0034 c. 1225: 134 51 134 134 134 51 134 134 134 51 134 N M DE I SD: 0.0009 c. M:-0.0013 c. 2258: 247 94 247 247 247 94 247 247 247 94 247 N M DE I SD: 0.0005 c. M:-0.0008 c.
FIT/HARMONIC
1 x x x x x x x x x x 2 S SD: 1.6100 cents 2 x x x x x x 3 x x x 4 S SD: 26.6497 cents 3 x x x 4 x x x 5 x x 6 S SD: 18.3145 cents 4 x x x 5 x x 6 x 7 x 8 S SD: 22.9575 cents 5 x x 6 x 7 x 8 x 9 x 10 S SD: 11.8335 cents 6 x x 7:8 x x 9:10 x 11:12 S SD: 15.1123 cents 7 x 8 x 9 x 10:11:12 x 13:14 S SD: 10.6763 cents 8 x 9 x 10:11 x 12:13:14:15:16 S SD: 13.7051 cents 9 x 10:11:12 x 13:14:15:16:17:18 S SD: 8.6869 cents 10 x 11:12:13:14 x 15:17:18:19:20 SD: 8.7989 cents 11:12 x 13:14:15:16:17:18:20 x 22 S SD: 7.8632 cents 12:13 x 14:16 x 17:19:20 x 22:24 SD: 10.8345 cents 13:14 x 16:17:18:19:20:22:23:24:26 S SD: 7.4223 cents 14:15:16:17:18 x 20:22:23:25:26:28 SD: 7.0823 cents 15:16:17:18:19:21:22:23:25:27:28:30 SD: 6.3042 cents 16:17:18:19:21:22:23:25:27:29:30:32 SD: 5.7507 cents 17:18:19:20:22:24 x 26:28:31 x 34 SD: 7.0664 cents 18:19:20:22:23:25:26:28:30:32:33:36 SD: 5.8012 cents 19 x 21:23:25:26:27:29:32:34:35:38 SD: 6.0402 cents 20 x 22:24:26:28:29:31:33:36:37:40 SD: 3.4913 cents 21 x 23:25:27:29:30:32:35:38:39:42 SD: 4.2352 cents 22:24 x 26:28:31:32:34:37:40:41:44 SD: 5.6172 cents 23:25:26:28:30:32:33:36:38:41:43:46 SD: 5.3758 cents 24:26:27:29:31:33:34:37:40:43:44:48 SD: 4.2836 cents 25:27:28:30:32:35:36:39:42:45:46:50 SD: 3.0286 cents 34:37:38:41:44:47:49:53:57:61:63:68 SD: 2.9619 cents 35:38:39:42:45:49:50:54:58:63:65:70 SD: 2.1160 cents 46:50:51:55:59:64:66:71:77:83:85:92 SD: 1.8889 cents 51:55:57:61:66:71:73:79:85:92:94:102 SD: 1.4804 cents 55:59:61:66:71:77:79:85:92:99:102:110 SD: 1.3231 cents 64:69:71:77:83:89:92:99:107:115:119:128 SD: 1.3107 cents 66:71:73:79:85:92:95:102:110:119:122:132 SD: 1.1668 cents 76:82:84:91:98:106:109:118:127:137:141:152 SD: 1.0638 cents 81:87:90:97:105:113:116:125:135:146:150:162 SD: 1.0535 cents 90:97:100:108:116:125:129:139:150:162:167:180 SD: 0.8387 cents 99:107:110:119:128:138:142:153:165:178:183:198 SD: 0.8374 cents 102:110:113:122:132:142:146:158:170:184:189:204 SD: 0.7558 cents 117:126:130:140:151:163:168:181:195:211:217:234 SD: 0.5885 cents 127:137:141:152:164:177:182:196:212:229:235:254 SD: 0.5456 cents 163:176:181:195:211:227:234:252:272:293:302:326 SD: 0.5167 cents 178:192:198:213:230:248:255:275:297:320:330:356 SD: 0.4957 cents 181:195:201:217:234:252:260:280:302:326:335:362 SD: 0.4742 cents 191:206:212:229:247:266:274:295:319:344:354:382 SD: 0.4454 cents 203:219:225:243:262:283:291:314:339:365:376:406 SD: 0.4043 cents 216:233:240:259:279:301:310:334:360:389:400:432 SD: 0.3770 cents 229:247:254:274:296:319:328:354:382:412:424:458 SD: 0.3632 cents 244:263:271:292:315:340:350:377:407:439:452:488 SD: 0.3145 cents 254:274:282:304:328:354:364:393:424:457:471:508 SD: 0.2838 cents 318:343:353:381:411:443:456:492:531:572:589:635 SD: 0.2221 cents 353:381:392:423:456:492:506:546:589:635:654:705 SD: 0.2048 cents 371:400:412:444:479:517:532:574:619:668:687:741 SD: 0.1904 cents 380:410:422:455:491:529:545:588:634:684:704:759 SD: 0.1816 cents 419:452:465:502:541:584:601:648:699:754:776:837 SD: 0.1514 cents 435:469:483:521:562:606:624:673:726:783:806:869 SD: 0.1218 cents 583:629:647:698:753:812:836:902:973:1049:1080:1165 SD: 0.1203 cents