Scala analysis: xen18-erlich-ripple-12
11L 1s MOS for Ripple, L=101.99, s=81.43
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 101.990 cents 101.990000 2: 203.980 cents 203.980000 3: 305.970 cents 305.970000 4: 407.960 cents 407.960000 5: 509.950 cents 509.950000 6: 591.380 cents 591.380000 7: 693.370 cents 693.370000 8: 795.360 cents 795.360000 9: 897.350 cents 897.350000 10: 999.340 cents 999.340000 11: 1101.330 cents 1101.330000 12: 1203.320 cents 1203.320000
SHOW/INTERVAL
0: 101.9900 cents 101.9900 1: 101.9900 cents 101.9900 2: 101.9900 cents 101.9900 3: 101.9900 cents 101.9900 4: 101.9900 cents 101.9900 5: 101.9900 cents 101.9900 6: 81.4300 cents 81.4300 7: 101.9900 cents 101.9900 8: 101.9900 cents 101.9900 9: 101.9900 cents 101.9900 10: 101.9900 cents 101.9900 11: 101.9900 cents 101.9900 12: 101.9900 cents 101.9900
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 81.43000 cents 1: 11 101.99000 cents 2: 2 183.42000 cents 2: 10 203.98000 cents 3: 3 285.41000 cents 3: 9 305.97000 cents 4: 4 387.40000 cents 4: 8 407.96000 cents 5: 5 489.39000 cents 5: 7 509.95000 cents 6: 6 591.38000 cents 6: 6 611.94000 cents 7: 7 693.37000 cents 7: 5 713.93000 cents 8: 8 795.36000 cents 8: 4 815.92000 cents 9: 9 897.35000 cents 9: 3 917.91000 cents 10: 10 999.34000 cents 10: 2 1019.90000 cents 11: 11 1101.33000 cents 11: 1 1121.89000 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 12 0.0 : 102.0 204.0 306.0 408.0 510.0 591.4 693.4 795.4 897.3 999.3 1101.3 1203.3 102.0 : 102.0 204.0 306.0 408.0 489.4 591.4 693.4 795.4 897.4 999.3 1101.3 1203.3 204.0 : 102.0 204.0 306.0 387.4 489.4 591.4 693.4 795.4 897.3 999.3 1101.3 1203.3 306.0 : 102.0 204.0 285.4 387.4 489.4 591.4 693.4 795.4 897.3 999.3 1101.3 1203.3 408.0 : 102.0 183.4 285.4 387.4 489.4 591.4 693.4 795.4 897.3 999.3 1101.3 1203.3 510.0 : 81.4 183.4 285.4 387.4 489.4 591.4 693.4 795.4 897.3 999.3 1101.3 1203.3 591.4 : 102.0 204.0 306.0 408.0 509.9 611.9 713.9 815.9 917.9 1019.9 1121.9 1203.3 693.4 : 102.0 204.0 306.0 408.0 510.0 611.9 713.9 815.9 917.9 1019.9 1101.3 1203.3 795.4 : 102.0 204.0 306.0 408.0 509.9 611.9 713.9 815.9 917.9 999.3 1101.3 1203.3 897.3 : 102.0 204.0 306.0 408.0 510.0 611.9 713.9 815.9 897.4 999.3 1101.3 1203.3 999.3 : 102.0 204.0 306.0 408.0 510.0 611.9 713.9 795.4 897.3 999.3 1101.3 1203.3 1101.3: 102.0 204.0 306.0 408.0 510.0 611.9 693.4 795.4 897.3 999.3 1101.3 1203.3 1203.3
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 81.4300 .. 101.9900 cents 20.56000 cents 81.43000 cents 2: 183.4200 .. 203.9800 cents 20.56000 cents 81.43000 cents 3: 285.4100 .. 305.9700 cents 20.56000 cents 81.43000 cents 4: 387.4000 .. 407.9600 cents 20.56000 cents 81.43000 cents 5: 489.3900 .. 509.9500 cents 20.56000 cents 81.43000 cents 6: 591.3800 .. 611.9400 cents 20.56000 cents 81.43000 cents 7: 693.3700 .. 713.9300 cents 20.56000 cents 81.43000 cents 8: 795.3600 .. 815.9200 cents 20.56000 cents 81.43000 cents 9: 897.3500 .. 917.9100 cents 20.56000 cents 81.43000 cents 10: 999.3400 .. 1019.9000 cents 20.56000 cents 81.43000 cents 11: 1101.3300 .. 1121.8900 cents 20.56000 cents 81.43000 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 81.43000 cents, class 1 Average step (divided formal octave): 100.2767 cents Largest one step interval : 101.99000 cents Average / Smallest step : 1.231446 Largest / Average step : 1.017086 Largest / Smallest step : 1.252487 Median interval of one step : 101.99000 cents, amount: 11 Most common interval of one step : 101.99000 cents, amount: 11 Least squares average step : 99.99726 cents, oct.: 1199.96714 cents Scale is strictly proper Scale has Myhill's property chromas: 20.56000 cents and 60.87000 cents, ratio: 2.960603 generators: 1 of 101.99000 cents and 11 of 1101.33000 cents ET pair of linear temperament : 11&12 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 1404-tone equal temperament with octave 1203.320 cents degrees: 119 238 357 476 595 690 809 928 1047 1166 1285 1404 generators: 119 and 1285 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAAAABAAAAAA Step pattern size order : LLLLLSLLLLLL Scale is a Constant Structure, by a margin of 81.43000 cents Scale diversity : 1.142073 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.812053 Rothenberg efficiency : 0.722222 redundancy: 0.277778 Efficiency x scale size : 8.666667 Number of different interval sizes : 22 = 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 : 20.56000 cents Most common intervals : 101.99000 cents & inv., amount: 11 Scale is a chain of 6 triads 0.0 509.950 1101.330 cents Most common triad is 0.0 101.990 1101.330 cents, amount: 10 Number of recognisable fifths : 12, average 701.9367 cents Number of recognisable fourths : 12, average 501.3833 cents Scale contains two identical disjunct hexachords Best fifths form a closed circle Formal octave complements present : 11 = 91.6667% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 11 Inversional symmetry on intervals : 5-6 11-12 -- Rational properties --
FIT/MODE
12: 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 5.9762 c. M:-10.2800 c. Twelve-tone Chromatic (1/11-comma) 35: 3 3 3 3 3 2 3 3 3 3 3 3 SP M ME SD: 4.0173 c. M: 6.9103 c. 47: 4 4 4 4 4 3 4 4 4 4 4 4 SP M ME SD: 1.4657 c. M: 2.5213 c. 59: 5 5 5 5 5 4 5 5 5 5 5 5 SP M ME SD: 0.0479 c. M:-0.0824 c. 755: 64 64 64 64 64 51 64 64 64 64 64 64 SP M DE SD: 0.0463 c. M: 0.0797 c. 814: 69 69 69 69 69 55 69 69 69 69 69 69 SP M DE SD: 0.0395 c. M: 0.0680 c. 873: 74 74 74 74 74 59 74 74 74 74 74 74 SP M DE SD: 0.0336 c. M: 0.0578 c. 932: 79 79 79 79 79 63 79 79 79 79 79 79 SP M DE SD: 0.0284 c. M: 0.0489 c. 991: 84 84 84 84 84 67 84 84 84 84 84 84 SP M DE SD: 0.0239 c. M: 0.0411 c. 1050: 89 89 89 89 89 71 89 89 89 89 89 89 SP M DE SD: 0.0199 c. M: 0.0342 c. 1109: 94 94 94 94 94 75 94 94 94 94 94 94 SP M DE SD: 0.0163 c. M: 0.0280 c. 1168: 99 99 99 99 99 79 99 99 99 99 99 99 SP M DE SD: 0.0130 c. M: 0.0224 c. 1227: 104 104 104 104 104 83 104 104 104 104 104 104 SP M DE SD: 0.0101 c. M: 0.0174 c. 1286: 109 109 109 109 109 87 109 109 109 109 109 109 SP M DE SD: 0.0074 c. M: 0.0128 c. 1345: 114 114 114 114 114 91 114 114 114 114 114 114 SP M DE SD: 0.0050 c. M: 0.0086 c. 1404: 119 119 119 119 119 95 119 119 119 119 119 119 SP M DE SD: 0.0028 c. M: 0.0048 c. 1463: 124 124 124 124 124 99 124 124 124 124 124 124 SP M DE SD: 0.0007 c. M: 0.0013 c.
FIT/HARMONIC
1 x x x x x x x x x x x 2 S SD: 3.3200 cents 2 x x x x x x 3 x x x x 4 S SD: 4.6023 cents 3 x x x x 4 x x x 5 x x 6 S SD: 5.9770 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 9.6320 cents 5 x x 6 x x 7 x 8 x 9 x 10 S SD: 5.8390 cents 6 x x 7 x 8 x 9 x 10:11 x 12 S SD: 11.0884 cents 7 x 8 x 9 x 10 x 11:12 x 13:14 S SD: 9.5740 cents 8 x 9 x 10 x 11:12:13 x 14:15:16 S SD: 9.1002 cents 9 x 10:11 x 12:13 x 14:15:16:17:18 S SD: 8.2313 cents 10 x 11:12:13 x 14:15:16:17:18:19:20 S SD: 7.1661 cents 11:12 x 13:14:15 x 16:17:18:20:21:22 S SD: 10.4019 cents 12:13 x 14:15:16:17:18:19:20:21:23:24 SD: 6.6937 cents 13:14:15 x 16:17:18:19:21:22:23:25:26 SD: 9.8033 cents 14:15:16:17:18:19:20:21:22:24:25:26:28 S SD: 6.5353 cents 15:16:17:18:19:20:21:22:24:25:27:28:30 SD: 4.3872 cents 22:23:25:26:28:30:31:33:35:37:39:42:44 SD: 4.2432 cents 26:28:29:31:33:35:37:39:41:44:46:49:52 SD: 3.5391 cents 27:29:30:32:34:36:38:40:43:45:48:51:54 SD: 3.4973 cents 29:31:33:35:37:39:41:43:46:49:52:55:58 SD: 3.4023 cents 30:32:34:36:38:40:42:45:47:50:53:57:60 SD: 3.1734 cents 31:33:35:37:39:42:44:46:49:52:55:59:62 SD: 2.6258 cents 32:34:36:38:41:43:45:48:51:54:57:60:64 SD: 2.6229 cents 37:39:42:44:47:50:52:55:59:62:66:70:74 SD: 2.3675 cents 41:43:46:49:52:55:58:61:65:69:73:77:82 SD: 2.1674 cents 46:49:52:55:58:62:65:69:73:77:82:87:92 SD: 1.6970 cents 53:56:60:63:67:71:75:79:84:89:94:100:106 SD: 1.6622 cents 56:59:63:67:71:75:79:84:89:94:100:106:112 SD: 1.5852 cents 63:67:71:75:80:85:89:94:100:106:112:119:126 SD: 1.3232 cents 67:71:75:80:85:90:94:100:106:113:119:127:134 SD: 1.3172 cents 71:75:80:85:90:95:100:106:112:119:126:134:142 SD: 1.2776 cents 72:76:81:86:91:97:101:107:114:121:128:136:144 SD: 1.2513 cents 79:84:89:94:100:106:111:118:125:133:141:149:158 SD: 0.8777 cents 103:109:116:123:130:138:145:154:163:173:183:195:206 SD: 0.8743 cents 110:117:124:131:139:148:155:164:174:185:196:208:220 SD: 0.8413 cents 113:120:127:135:143:152:159:169:179:190:201:213:226 SD: 0.7087 cents 120:127:135:143:152:161:169:179:190:202:214:227:240 SD: 0.6728 cents 128:136:144:153:162:172:180:191:203:215:228:242:256 SD: 0.5492 cents 161:171:181:192:204:216:227:240:255:270:287:304:323 SD: 0.5417 cents 166:176:187:198:210:223:234:248:263:279:296:314:333 SD: 0.5002 cents 177:188:199:211:224:238:249:264:280:297:315:334:355 SD: 0.4665 cents 181:192:204:216:229:243:255:270:287:304:322:342:363 SD: 0.4511 cents 192:204:216:229:243:258:270:287:304:322:342:363:385 SD: 0.4408 cents 199:211:224:237:252:267:280:297:315:334:354:376:399 SD: 0.3854 cents 216:229:243:258:273:290:304:322:342:363:385:408:433 SD: 0.3571 cents 233:247:262:278:295:313:328:348:369:391:415:440:467 SD: 0.2241 cents 312:331:351:372:395:419:439:466:494:524:556:589:625 SD: 0.2197 cents 327:347:368:390:414:439:460:488:518:549:582:618:655 SD: 0.2047 cents 398:422:448:475:504:534:560:594:630:668:709:752:798 SD: 0.1879 cents 415:440:467:495:525:557:584:619:657:697:739:784:832 SD: 0.1806 cents 430:456:484:513:544:577:605:642:681:722:766:812:862 SD: 0.1732 cents 449:476:505:536:568:603:632:670:711:754:800:848:900 SD: 0.1707 cents 479:508:539:572:606:643:674:715:758:804:853:905:960 SD: 0.1602 cents 496:526:558:592:628:666:698:740:785:833:883:937:994 SD: 0.1253 cents 511:542:575:610:647:686:719:763:809:858:910:965:1024 SD: 0.1135 cents