Scala analysis: xen18-erlich-ripple-08
1L 7s MOS for Ripple, L=489.39, 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: 795.360 cents 795.360000 5: 897.350 cents 897.350000 6: 999.340 cents 999.340000 7: 1101.330 cents 1101.330000 8: 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: 489.3900 cents 489.3900 5: 101.9900 cents 101.9900 6: 101.9900 cents 101.9900 7: 101.9900 cents 101.9900 8: 101.9900 cents 101.9900
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 7 101.99000 cents 1: 1 489.39000 cents 2: 6 203.98000 cents 2: 2 591.38000 cents 3: 5 305.97000 cents 3: 3 693.37000 cents 4: 4 407.96000 cents 4: 4 795.36000 cents 5: 3 509.95000 cents 5: 5 897.35000 cents 6: 2 611.94000 cents 6: 6 999.34000 cents 7: 1 713.93000 cents 7: 7 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 0.0 : 102.0 204.0 306.0 795.4 897.3 999.3 1101.3 1203.3 102.0 : 102.0 204.0 693.4 795.4 897.4 999.3 1101.3 1203.3 204.0 : 102.0 591.4 693.4 795.4 897.3 999.3 1101.3 1203.3 306.0 : 489.4 591.4 693.4 795.4 897.3 999.3 1101.3 1203.3 795.4 : 102.0 204.0 306.0 408.0 509.9 611.9 713.9 1203.3 897.3 : 102.0 204.0 306.0 408.0 510.0 611.9 1101.3 1203.3 999.3 : 102.0 204.0 306.0 408.0 510.0 999.3 1101.3 1203.3 1101.3: 102.0 204.0 306.0 408.0 897.3 999.3 1101.3 1203.3 1203.3
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 101.9900 .. 489.3900 cents 387.40000 cents 101.99000 cents 2: 203.9800 .. 591.3800 cents 387.40000 cents -285.41000 cents 3: 305.9700 .. 693.3700 cents 387.40000 cents -285.41000 cents 4: 407.9600 .. 795.3600 cents 387.40000 cents -285.41000 cents 5: 509.9500 .. 897.3500 cents 387.40000 cents -285.41000 cents 6: 611.9400 .. 999.3400 cents 387.40000 cents -285.41000 cents 7: 713.9300 .. 1101.3300 cents 387.40000 cents -285.41000 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 101.99000 cents, class 1 Average step (divided formal octave): 150.4150 cents Largest one step interval : 489.39000 cents Average / Smallest step : 1.474801 Largest / Average step : 3.253598 Largest / Smallest step : 4.798412 Median interval of one step : 101.99000 cents, amount: 7 Most common interval of one step : 101.99000 cents, amount: 7 Least squares average step : 158.96059 cents, oct.: 1271.68471 cents Scale is not proper Scale has Myhill's property chromas: 387.40000 cents and 285.41000 cents, ratio: 1.357346 generators: 1 of 101.99000 cents and 7 of 1101.33000 cents ET pair of linear temperament : 11&12 Scale is distributional even Scale is a mode of a 1345-tone equal temperament with octave 1203.320 cents degrees: 114 228 342 889 1003 1117 1231 1345 generators: 114 and 1231 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAABAAAA Step pattern size order : SSSLSSSS Scale is a Constant Structure, by a margin of 20.56000 cents Scale diversity : 1.232125 Lumma stability : 0.169514 Lumma impropriety factor : 0.660971 Rothenberg efficiency : 0.750000 redundancy: 0.250000 Efficiency x scale size : 6.000000 Number of different interval sizes : 14 = 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: 7 Scale is a chain of 4 triads 0.0 305.970 1101.330 cents Number of recognisable fifths : 4, average 698.5100 cents Number of recognisable fourths : 4, average 504.8100 cents Scale contains two identical disjunct tetrachords Formal octave complements present : 7 = 87.5000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 7 Inversional symmetry on intervals : 3-4 7-8 -- Rational properties --
FIT/MODE
8: 0 1 1 3 1 0 1 1 N SD: 58.0113 c. M: 101.9900 c. 10: 0 1 1 4 1 1 1 1 N SD: 63.0047 c. M: 101.9900 c. 11: 1 1 1 4 1 1 1 1 N M DE SD: 17.3609 c. M: 29.6109 c. 12: 1 1 1 5 1 1 1 1 N M DE SD: 4.0181 c. M:-6.8533 c. 35: 3 3 3 14 3 3 3 3 N M DE SD: 2.7010 c. M: 4.6069 c. 47: 4 4 4 19 4 4 4 4 N M DE SD: 0.9855 c. M: 1.6809 c. 59: 5 5 5 24 5 5 5 5 N M DE SD: 0.0322 c. M:-0.0549 c. 755: 64 64 64 307 64 64 64 64 N M DE SD: 0.0312 c. M: 0.0531 c. 814: 69 69 69 331 69 69 69 69 N M DE SD: 0.0266 c. M: 0.0453 c. 873: 74 74 74 355 74 74 74 74 N M DE SD: 0.0226 c. M: 0.0385 c. 932: 79 79 79 379 79 79 79 79 N M DE SD: 0.0191 c. M: 0.0326 c. 991: 84 84 84 403 84 84 84 84 N M DE SD: 0.0161 c. M: 0.0274 c. 1050: 89 89 89 427 89 89 89 89 N M DE SD: 0.0134 c. M: 0.0228 c. 1109: 94 94 94 451 94 94 94 94 N M DE SD: 0.0109 c. M: 0.0186 c. 1168: 99 99 99 475 99 99 99 99 N M DE SD: 0.0088 c. M: 0.0149 c. 1227: 104 104 104 499 104 104 104 104 N M DE SD: 0.0068 c. M: 0.0116 c. 1286: 109 109 109 523 109 109 109 109 N M DE SD: 0.0050 c. M: 0.0085 c. 1345: 114 114 114 547 114 114 114 114 N M DE SD: 0.0034 c. M: 0.0057 c. 1404: 119 119 119 571 119 119 119 119 N M DE SD: 0.0019 c. M: 0.0032 c. 1463: 124 124 124 595 124 124 124 124 N M DE SD: 0.0005 c. M: 0.0008 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 3.3200 cents 2 x x x 3 x x x 4 S SD: 46.7320 cents 3 x x 4 x 5 x x 6 S SD: 64.1808 cents 4 x x 5:6 x 7 x 8 S SD: 31.7429 cents 5 x x 6:8 x 9 x 10 S SD: 6.9539 cents 6 x x 7 x 10:11 x 12 SD: 16.2227 cents 7 x 8 x 11:12 x 13:14 SD: 11.0889 cents 8 x 9:10:13 x 14:15:16 SD: 16.3367 cents 9 x 10:11:14:15:16:17:18 SD: 8.2064 cents 10 x 11:12:16:17:18:19:20 S SD: 7.6179 cents 11:12 x 13:17:18:20:21:22 SD: 12.7796 cents 12:13 x 14:19:20:21:23:24 SD: 9.6916 cents 14:15:16:17:22:24:25:26:28 SD: 8.2046 cents 15:16:17:18:24:25:27:28:30 SD: 5.0472 cents 26:28:29:31:41:44:46:49:52 SD: 4.5200 cents 29:31:33:35:46:49:52:55:58 SD: 4.4567 cents 30:32:34:36:47:50:53:57:60 SD: 4.2471 cents 31:33:35:37:49:52:55:59:62 SD: 2.1942 cents 46:49:52:55:73:77:82:87:92 SD: 1.7617 cents 62:66:70:74:98:104:110:117:124 SD: 1.5199 cents 63:67:71:75:100:106:112:119:126 SD: 1.2548 cents 72:76:81:86:114:121:128:136:144 SD: 1.2287 cents 81:86:91:97:128:136:144:153:162 SD: 1.1040 cents 82:87:92:98:130:138:146:155:164 SD: 0.9887 cents 113:120:127:135:179:190:201:213:226 SD: 0.8745 cents 118:125:133:141:187:198:210:223:236 SD: 0.7760 cents 134:142:151:160:212:225:239:253:269 SD: 0.6782 cents 146:155:164:174:231:245:260:276:293 SD: 0.6288 cents 160:170:180:191:253:269:285:302:321 SD: 0.6210 cents 161:171:181:192:255:270:287:304:323 SD: 0.5750 cents 182:193:205:217:288:306:324:344:365 SD: 0.4887 cents 197:209:222:235:312:331:351:372:395 SD: 0.4379 cents 216:229:243:258:342:363:385:408:433 SD: 0.3399 cents 233:247:262:278:369:391:415:440:467 SD: 0.2546 cents 264:280:297:315:418:443:470:499:529 SD: 0.2163 cents 362:384:407:432:573:608:645:684:725 SD: 0.2117 cents 408:433:459:487:646:685:727:771:818 SD: 0.2115 cents 415:440:467:495:657:697:739:784:832 SD: 0.1878 cents 461:489:519:550:730:774:821:871:924 SD: 0.1778 cents 480:509:540:573:760:806:855:907:962 SD: 0.1154 cents