Scala analysis: xen18-erlich-ripple-11
1L 10s MOS for Ripple, L=183.42, s=101.99
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: 693.370 cents 693.370000 7: 795.360 cents 795.360000 8: 897.350 cents 897.350000 9: 999.340 cents 999.340000 10: 1101.330 cents 1101.330000 11: 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: 183.4200 cents 183.4200 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
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 10 101.99000 cents 1: 1 183.42000 cents 2: 9 203.98000 cents 2: 2 285.41000 cents 3: 8 305.97000 cents 3: 3 387.40000 cents 4: 7 407.96000 cents 4: 4 489.39000 cents 5: 6 509.95000 cents 5: 5 591.38000 cents 6: 5 611.94000 cents 6: 6 693.37000 cents 7: 4 713.93000 cents 7: 7 795.36000 cents 8: 3 815.92000 cents 8: 8 897.35000 cents 9: 2 917.91000 cents 9: 9 999.34000 cents 10: 1 1019.90000 cents 10: 10 1101.33000 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 : 102.0 204.0 306.0 408.0 510.0 693.4 795.4 897.3 999.3 1101.3 1203.3 102.0 : 102.0 204.0 306.0 408.0 591.4 693.4 795.4 897.4 999.3 1101.3 1203.3 204.0 : 102.0 204.0 306.0 489.4 591.4 693.4 795.4 897.3 999.3 1101.3 1203.3 306.0 : 102.0 204.0 387.4 489.4 591.4 693.4 795.4 897.3 999.3 1101.3 1203.3 408.0 : 102.0 285.4 387.4 489.4 591.4 693.4 795.4 897.3 999.3 1101.3 1203.3 510.0 : 183.4 285.4 387.4 489.4 591.4 693.4 795.4 897.3 999.3 1101.3 1203.3 693.4 : 102.0 204.0 306.0 408.0 510.0 611.9 713.9 815.9 917.9 1019.9 1203.3 795.4 : 102.0 204.0 306.0 408.0 509.9 611.9 713.9 815.9 917.9 1101.3 1203.3 897.3 : 102.0 204.0 306.0 408.0 510.0 611.9 713.9 815.9 999.3 1101.3 1203.3 999.3 : 102.0 204.0 306.0 408.0 510.0 611.9 713.9 897.3 999.3 1101.3 1203.3 1101.3: 102.0 204.0 306.0 408.0 510.0 611.9 795.4 897.3 999.3 1101.3 1203.3 1203.3
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 101.9900 .. 183.4200 cents 81.43000 cents 101.99000 cents 2: 203.9800 .. 285.4100 cents 81.43000 cents 20.56000 cents 3: 305.9700 .. 387.4000 cents 81.43000 cents 20.56000 cents 4: 407.9600 .. 489.3900 cents 81.43000 cents 20.56000 cents 5: 509.9500 .. 591.3800 cents 81.43000 cents 20.56000 cents 6: 611.9400 .. 693.3700 cents 81.43000 cents 20.56000 cents 7: 713.9300 .. 795.3600 cents 81.43000 cents 20.56000 cents 8: 815.9200 .. 897.3500 cents 81.43000 cents 20.56000 cents 9: 917.9100 .. 999.3400 cents 81.43000 cents 20.56000 cents 10: 1019.9000 .. 1101.3300 cents 81.43000 cents 20.56000 cents
SHOW DATA
Number of notes : 11 -- Interval properties -- Smallest interval : 101.99000 cents, class 1 Average step (divided formal octave): 109.3927 cents Largest one step interval : 183.42000 cents Average / Smallest step : 1.072583 Largest / Average step : 1.676711 Largest / Smallest step : 1.798412 Median interval of one step : 101.99000 cents, amount: 10 Most common interval of one step : 101.99000 cents, amount: 10 Least squares average step : 110.19737 cents, oct.: 1212.17109 cents Scale is strictly proper Scale has Myhill's property chromas: 81.43000 cents and 20.56000 cents, ratio: 3.960603 generators: 1 of 101.99000 cents and 10 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: 119 238 357 476 595 809 928 1047 1166 1285 1404 generators: 119 and 1285 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAAAABAAAAA Step pattern size order : SSSSSLSSSSS Scale is a Constant Structure, by a margin of 20.56000 cents Scale diversity : 1.151183 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.323289 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 : 20.56000 cents Most common intervals : 101.99000 cents & inv., amount: 10 Scale is a chain of 5 triads 0.0 509.950 1101.330 cents Number of recognisable fifths : 10, average 701.5940 cents Number of recognisable fourths : 10, average 501.7260 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: 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 23.4095 c. M: 37.0136 c. 12: 1 1 1 1 1 2 1 1 1 1 1 P M ME I SD: 5.4180 c. M: 8.5667 c. 35: 3 3 3 3 3 5 3 3 3 3 3 SP M DE I SD: 3.6420 c. M: 5.7586 c. 47: 4 4 4 4 4 7 4 4 4 4 4 SP M DE I SD: 1.3288 c. M: 2.1011 c. 59: 5 5 5 5 5 9 5 5 5 5 5 SP M DE I SD: 0.0434 c. M: 0.0686 c. 755: 64 64 64 64 64 115 64 64 64 64 64 SP M DE I SD: 0.0420 c. M: 0.0664 c. 814: 69 69 69 69 69 124 69 69 69 69 69 SP M DE I SD: 0.0358 c. M: 0.0566 c. 873: 74 74 74 74 74 133 74 74 74 74 74 SP M DE I SD: 0.0305 c. M:-0.0482 c. 932: 79 79 79 79 79 142 79 79 79 79 79 SP M DE I SD: 0.0258 c. M: 0.0408 c. 991: 84 84 84 84 84 151 84 84 84 84 84 SP M DE I SD: 0.0217 c. M: 0.0343 c. 1050: 89 89 89 89 89 160 89 89 89 89 89 SP M DE I SD: 0.0180 c. M: 0.0285 c. 1109: 94 94 94 94 94 169 94 94 94 94 94 SP M DE I SD: 0.0147 c. M: 0.0233 c. 1168: 99 99 99 99 99 178 99 99 99 99 99 SP M DE I SD: 0.0118 c. M: 0.0187 c. 1227: 104 104 104 104 104 187 104 104 104 104 104 SP M DE I SD: 0.0091 c. M: 0.0145 c. 1286: 109 109 109 109 109 196 109 109 109 109 109 SP M DE I SD: 0.0067 c. M:-0.0107 c. 1345: 114 114 114 114 114 205 114 114 114 114 114 SP M DE I SD: 0.0045 c. M: 0.0072 c. 1404: 119 119 119 119 119 214 119 119 119 119 119 SP M DE I SD: 0.0025 c. M: 0.0040 c. 1463: 124 124 124 124 124 223 124 124 124 124 124 SP M DE I SD: 0.0007 c. M: 0.0011 c.
FIT/HARMONIC
1 x x x x x x x x x x 2 S SD: 3.3200 cents 2 x x x x x 3 x x x x 4 S SD: 4.6023 cents 3 x x x x 4 x x 5 x x 6 S SD: 5.9770 cents 4 x x x 5 x 6 x x 7 x 8 S SD: 9.6320 cents 5 x x 6 x 7 x 8 x 9 x 10 S SD: 15.5422 cents 6 x x 7 x 8:9 x 10:11 x 12 S SD: 11.0884 cents 7 x 8 x 9 x 10:11:12 x 13:14 S SD: 13.9737 cents 8 x 9 x 10:11:12:13 x 14:15:16 S SD: 9.1910 cents 9 x 10:11 x 12:13:14:15:16:17:18 S SD: 9.0693 cents 10 x 11:12:13 x 15:16:17:18:19:20 SD: 7.9011 cents 11:12 x 13:14:15:16:17:18:20:21:22 S SD: 10.4019 cents 12:13 x 14:15:16:18:19:20:21:23:24 SD: 7.2708 cents 13:14:15 x 16:17:19:21:22:23:25:26 SD: 10.4138 cents 14:15:16:17:18:19:21:22:24:25:26:28 SD: 6.7228 cents 15:16:17:18:19:20:22:24:25:27:28:30 SD: 4.7177 cents 22:23:25:26:28:30:33:35:37:39:42:44 SD: 4.6241 cents 26:28:29:31:33:35:39:41:44:46:49:52 SD: 3.4328 cents 30:32:34:36:38:40:45:47:50:53:57:60 SD: 3.3667 cents 31:33:35:37:39:42:46:49:52:55:59:62 SD: 2.5239 cents 38:40:43:45:48:51:57:60:64:68:72:76 SD: 2.3821 cents 41:43:46:49:52:55:61:65:69:73:77:82 SD: 2.2138 cents 46:49:52:55:58:62:69:73:77:82:87:92 SD: 1.7322 cents 53:56:60:63:67:71:79:84:89:94:100:106 SD: 1.5846 cents 63:67:71:75:80:85:94:100:106:112:119:126 SD: 1.3059 cents 65:69:73:78:82:87:97:103:109:116:123:130 SD: 1.2991 cents 72:76:81:86:91:97:107:114:121:128:136:144 SD: 1.2725 cents 79:84:89:94:100:106:118:125:133:141:149:158 SD: 0.9274 cents 87:92:98:104:110:117:130:138:146:155:164:174 SD: 0.8872 cents 97:103:109:116:123:130:145:154:163:173:183:194 SD: 0.8864 cents 113:120:127:135:143:152:169:179:190:201:213:226 SD: 0.7730 cents 120:127:135:143:152:161:179:190:202:214:227:240 SD: 0.7228 cents 128:136:144:153:162:172:191:203:215:228:242:256 SD: 0.5899 cents 146:155:164:174:185:196:218:231:245:260:276:293 SD: 0.4928 cents 166:176:187:198:210:223:248:263:279:296:314:333 SD: 0.4721 cents 181:192:204:216:229:243:270:287:304:322:342:363 SD: 0.4562 cents 199:211:224:237:252:267:297:315:334:354:376:399 SD: 0.4200 cents 215:228:242:257:272:289:321:340:361:383:406:431 SD: 0.4051 cents 216:229:243:258:273:290:322:342:363:385:408:433 SD: 0.3888 cents 218:231:245:260:276:293:325:345:366:388:412:437 SD: 0.3885 cents 233:247:262:278:295:313:348:369:391:415:440:467 SD: 0.2370 cents 327:347:368:390:414:439:488:518:549:582:618:655 SD: 0.2173 cents 362:384:407:432:458:486:540:573:608:645:684:725 SD: 0.1910 cents 424:450:477:506:537:569:633:671:712:755:801:850 SD: 0.1848 cents 449:476:505:536:568:603:670:711:754:800:848:900 SD: 0.1812 cents 479:508:539:572:606:643:715:758:804:853:905:960 SD: 0.1745 cents 496:526:558:592:628:666:740:785:833:883:937:994 SD: 0.1365 cents 511:542:575:610:647:686:763:809:858:910:965:1024 SD: 0.1228 cents 595:631:669:710:753:799:888:942:999:1060:1124:1192 SD: 0.1226 cents