Scala analysis: xen18-erlich-ripple-06
1L 5s MOS for Ripple, L=693.37, 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: 897.350 cents 897.350000 4: 999.340 cents 999.340000 5: 1101.330 cents 1101.330000 6: 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: 693.3700 cents 693.3700 4: 101.9900 cents 101.9900 5: 101.9900 cents 101.9900 6: 101.9900 cents 101.9900
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 5 101.99000 cents 1: 1 693.37000 cents 2: 4 203.98000 cents 2: 2 795.36000 cents 3: 3 305.97000 cents 3: 3 897.35000 cents 4: 2 407.96000 cents 4: 4 999.34000 cents 5: 1 509.95000 cents 5: 5 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 0.0 : 102.0 204.0 897.3 999.3 1101.3 1203.3 102.0 : 102.0 795.4 897.4 999.3 1101.3 1203.3 204.0 : 693.4 795.4 897.3 999.3 1101.3 1203.3 897.3 : 102.0 204.0 306.0 408.0 510.0 1203.3 999.3 : 102.0 204.0 306.0 408.0 1101.3 1203.3 1101.3: 102.0 204.0 306.0 999.3 1101.3 1203.3 1203.3
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 101.9900 .. 693.3700 cents 591.38000 cents 101.99000 cents 2: 203.9800 .. 795.3600 cents 591.38000 cents -489.39000 cents 3: 305.9700 .. 897.3500 cents 591.38000 cents -489.39000 cents 4: 407.9600 .. 999.3400 cents 591.38000 cents -489.39000 cents 5: 509.9500 .. 1101.3300 cents 591.38000 cents -489.39000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 101.99000 cents, class 1 Average step (divided formal octave): 200.5533 cents Largest one step interval : 693.37000 cents Average / Smallest step : 1.966402 Largest / Average step : 3.457285 Largest / Smallest step : 6.798412 Median interval of one step : 101.99000 cents, amount: 5 Most common interval of one step : 101.99000 cents, amount: 5 Least squares average step : 218.96626 cents, oct.: 1313.79758 cents Scale is not proper Scale has Myhill's property chromas: 591.38000 cents and 489.39000 cents, ratio: 1.208402 generators: 1 of 101.99000 cents and 5 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 1003 1117 1231 1345 generators: 114 and 1231 Number of contiguous 1-step segments: 0 Step pattern alph. order: AABAAA Step pattern size order : SSLSSS Scale is a Constant Structure, by a margin of 101.99000 cents Scale diversity : 1.310510 Lumma stability : 0.169514 Lumma impropriety factor : 0.660971 Rothenberg efficiency : 0.777778 redundancy: 0.222222 Efficiency x scale size : 4.666667 Number of different interval sizes : 10 = 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 : 101.99000 cents Most common intervals : 101.99000 cents & inv., amount: 5 Scale is a chain of 3 triads 0.0 203.980 1101.330 cents Number of recognisable fifths : 1, average 693.3700 cents Number of recognisable fourths : 1, average 509.9500 cents Formal octave complements present : 5 = 83.3333% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 5 Inversional symmetry on intervals : 2-3 5-6 -- Rational properties --
FIT/MODE
6: 0 1 3 1 0 1 N SD: 69.7509 c. M: 101.9900 c. 7: 0 1 4 1 0 1 N SD: 55.9452 c. M: 101.9900 c. 8: 1 0 5 1 0 1 N SD: 41.7429 c. M: 53.5650 c. 10: 1 1 5 1 1 1 N M DE SD: 32.6398 c. M: 55.0260 c. 11: 1 1 6 1 1 1 N M DE SD: 13.1732 c. M: 22.2082 c. 12: 1 1 7 1 1 1 N M DE SD: 3.0489 c. M:-5.1400 c. 35: 3 3 20 3 3 3 N M DE SD: 2.0495 c. M: 3.4551 c. 47: 4 4 27 4 4 4 N M DE SD: 0.7478 c. M: 1.2606 c. 59: 5 5 34 5 5 5 N M DE SD: 0.0244 c. M:-0.0412 c. 755: 64 64 435 64 64 64 N M DE SD: 0.0236 c. M: 0.0399 c. 814: 69 69 469 69 69 69 N M DE SD: 0.0202 c. M: 0.0340 c. 873: 74 74 503 74 74 74 N M DE SD: 0.0171 c. M: 0.0289 c. 932: 79 79 537 79 79 79 N M DE SD: 0.0145 c. M: 0.0245 c. 991: 84 84 571 84 84 84 N M DE SD: 0.0122 c. M: 0.0206 c. 1050: 89 89 605 89 89 89 N M DE SD: 0.0101 c. M: 0.0171 c. 1109: 94 94 639 94 94 94 N M DE SD: 0.0083 c. M: 0.0140 c. 1168: 99 99 673 99 99 99 N M DE SD: 0.0066 c. M: 0.0112 c. 1227: 104 104 707 104 104 104 N M DE SD: 0.0051 c. M: 0.0087 c. 1286: 109 109 741 109 109 109 N M DE SD: 0.0038 c. M: 0.0064 c. 1345: 114 114 775 114 114 114 N M DE SD: 0.0026 c. M: 0.0043 c. 1404: 119 119 809 119 119 119 N M DE SD: 0.0014 c. M: 0.0024 c. 1463: 124 124 843 124 124 124 N M DE SD: 0.0004 c. M: 0.0006 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 3.3200 cents 2 x x 3 x x 4 S SD: 97.7116 cents 3 x 4:5 x x 6 S SD: 98.1235 cents 4 x 5 x 7 x 8 SD: 61.6331 cents 5 x 6:8:9 x 10 S SD: 35.1889 cents 6 x 7:10:11 x 12 SD: 20.3675 cents 7 x 8:12 x 13:14 S SD: 13.4827 cents 8 x 9:13:14:15:16 SD: 13.1780 cents 9 x 10:15:16:17:18 S SD: 5.1224 cents 10 x 11:17:18:19:20 SD: 9.8268 cents 11:12 x 18:20:21:22 S SD: 15.4673 cents 12:13:14:20:21:23:24 SD: 13.9731 cents 13:14:15:22:23:25:26 SD: 10.3816 cents 14:15:16:24:25:26:28 S SD: 9.4766 cents 15:16:17:25:27:28:30 SD: 5.7758 cents 16:17:18:27:29:30:32 SD: 5.7184 cents 18:19:20:30:32:34:36 S SD: 4.4917 cents 31:33:35:52:55:59:62 SD: 2.8891 cents 32:34:36:54:57:60:64 S SD: 2.7026 cents 46:49:52:77:82:87:92 SD: 2.1724 cents 47:50:53:79:84:89:94 SD: 1.7311 cents 63:67:71:106:112:119:126 SD: 1.3252 cents 65:69:73:109:116:123:130 SD: 1.1477 cents 81:86:91:136:144:153:162 SD: 0.9222 cents 118:125:133:198:210:223:236 SD: 0.9148 cents 119:126:134:200:212:225:238 SD: 0.8667 cents 128:136:144:215:228:242:256 SD: 0.7777 cents 146:155:164:245:260:276:293 SD: 0.7310 cents 152:161:171:255:271:287:305 SD: 0.7061 cents 168:178:189:282:299:317:337 SD: 0.6129 cents 178:189:200:299:317:336:357 SD: 0.6027 cents 182:193:205:306:324:344:365 SD: 0.5894 cents 183:194:206:307:326:346:367 SD: 0.4892 cents 199:211:224:334:354:376:399 SD: 0.4624 cents 200:212:225:336:356:378:401 SD: 0.3580 cents 215:228:242:361:383:406:431 SD: 0.2338 cents 280:297:315:470:499:529:561 SD: 0.2046 cents 296:314:333:497:527:559:593 SD: 0.1758 cents 479:508:539:804:853:905:960 SD: 0.1600 cents 480:509:540:806:855:907:962 SD: 0.1074 cents 543:576:611:912:967:1026:1088 SD: 0.1040 cents