Scala analysis: xen18-erlich-ripple-04
1L 3s MOS for Ripple, L=897.35, 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: 999.340 cents 999.340000 3: 1101.330 cents 1101.330000 4: 1203.320 cents 1203.320000
SHOW/INTERVAL
0: 101.9900 cents 101.9900 1: 101.9900 cents 101.9900 2: 897.3500 cents 897.3500 3: 101.9900 cents 101.9900 4: 101.9900 cents 101.9900
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 101.99000 cents 1: 1 897.35000 cents 2: 2 203.98000 cents 2: 2 999.34000 cents 3: 1 305.97000 cents 3: 3 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 0.0 : 102.0 999.3 1101.3 1203.3 102.0 : 897.4 999.3 1101.3 1203.3 999.3 : 102.0 204.0 306.0 1203.3 1101.3: 102.0 204.0 1101.3 1203.3 1203.3
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 101.9900 .. 897.3500 cents 795.36000 cents 101.99000 cents 2: 203.9800 .. 999.3400 cents 795.36000 cents -693.37000 cents 3: 305.9700 .. 1101.3300 cents 795.36000 cents -693.37000 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 101.99000 cents, class 1 Average step (divided formal octave): 300.8300 cents Largest one step interval : 897.35000 cents Average / Smallest step : 2.949603 Largest / Average step : 2.982914 Largest / Smallest step : 8.798412 Median interval of one step : 101.99000 cents, amount: 3 Most common interval of one step : 101.99000 cents, amount: 3 Least squares average step : 340.59800 cents, oct.: 1362.39200 cents Scale is not proper Scale has Myhill's property chromas: 795.36000 cents and 693.37000 cents, ratio: 1.147093 generators: 1 of 101.99000 cents and 3 of 1101.33000 cents ET pair of linear temperament : 11&12 Scale is distributional even Scale is a mode of a 1227-tone equal temperament with octave 1203.320 cents degrees: 104 1019 1123 1227 generators: 104 and 1123 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAA Step pattern size order : SLSS Scale is a Constant Structure, by a margin of 101.99000 cents Scale diversity : 0.905207 Lumma stability : 0.169514 Lumma impropriety factor : 0.660971 Rothenberg efficiency : 0.833333 redundancy: 0.166667 Efficiency x scale size : 3.333333 Number of different interval sizes : 6 = 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: 3 Scale is a chain of 2 triads 0.0 101.990 1101.330 cents Number of recognisable fifths : 0 Number of recognisable fourths : 0 Formal octave complements present : 3 = 75.0000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 3 Inversional symmetry on intervals : 1-2 3-4 -- Rational properties --
FIT/MODE
4: 0 3 0 1 N D3 SD: 121.7777 c. M: 198.8400 c. 5: 0 4 0 1 N D3 SD: 88.0031 c. M: 138.6740 c. 6: 0 5 0 1 N D3 SD: 70.9374 c. M: 101.9900 c. 8: 0 6 1 1 N G SD: 74.3755 c. M: 101.9900 c. 9: 1 6 1 1 N M DE SD: 38.8394 c. M: 63.4244 c. 10: 1 7 1 1 N M DE SD: 22.4643 c. M: 36.6840 c. 11: 1 8 1 1 N M DE SD: 9.0665 c. M: 14.8055 c. 12: 1 9 1 1 N M DE SD: 2.0984 c. M:-3.4267 c. 35: 3 26 3 3 N M DE SD: 1.4106 c. M: 2.3034 c. 47: 4 35 4 4 N M DE SD: 0.5147 c. M: 0.8404 c. 59: 5 44 5 5 N M DE SD: 0.0168 c. M:-0.0275 c. 755: 64 563 64 64 N M DE SD: 0.0163 c. M: 0.0266 c. 814: 69 607 69 69 N M DE SD: 0.0139 c. M: 0.0227 c. 873: 74 651 74 74 N M DE SD: 0.0118 c. M: 0.0193 c. 932: 79 695 79 79 N M DE SD: 0.0100 c. M: 0.0163 c. 991: 84 739 84 84 N M DE SD: 0.0084 c. M: 0.0137 c. 1050: 89 783 89 89 N M DE SD: 0.0070 c. M: 0.0114 c. 1109: 94 827 94 94 N M DE SD: 0.0057 c. M: 0.0093 c. 1168: 99 871 99 99 N M DE SD: 0.0046 c. M: 0.0075 c. 1227: 104 915 104 104 N M DE SD: 0.0035 c. M: 0.0058 c. 1286: 109 959 109 109 N M DE SD: 0.0026 c. M: 0.0043 c. 1345: 114 1003 114 114 N M DE SD: 0.0018 c. M: 0.0029 c. 1404: 119 1047 119 119 N M DE SD: 0.0010 c. M: 0.0016 c. 1463: 124 1091 124 124 N M DE SD: 0.0003 c. M: 0.0004 c.
FIT/HARMONIC
1 x x x 2 S SD: 3.3200 cents 2 x x x 4 S SD: 3.3200 cents 3:4:5 x 6 S SD: 137.4737 cents 4:5:7 x 8 SD: 95.3252 cents 5:6:9 x 10 S SD: 71.4852 cents 6:7:11 x 12 SD: 57.4447 cents 7:8:12:13:14 S SD: 37.0483 cents 8:9:14:15:16 SD: 26.8100 cents 9:10:16:17:18 SD: 20.1371 cents 10:11:18:19:20 SD: 16.6067 cents 11:12:20:21:22 SD: 15.7672 cents 12:13:21:23:24 SD: 13.4743 cents 13:14:23:25:26 SD: 10.5603 cents 14:15:25:26:28 SD: 8.7083 cents 15:16:27:28:30 SD: 7.3770 cents 17:18:30:32:34 SD: 4.4483 cents 18:19:32:34:36 SD: 2.3980 cents 46:49:82:87:92 SD: 2.1126 cents 51:54:91:96:102 SD: 2.0822 cents 63:67:112:119:126 SD: 1.6327 cents 64:68:114:121:128 SD: 1.1602 cents 82:87:146:155:164 SD: 0.8854 cents 146:155:260:276:293 SD: 0.8114 cents 163:173:290:308:327 SD: 0.7471 cents 164:174:292:310:329 SD: 0.5769 cents 182:193:324:344:365 SD: 0.4782 cents 197:209:351:372:395 SD: 0.3772 cents 215:228:383:406:431 SD: 0.2811 cents 279:296:497:527:559 SD: 0.1484 cents 297:315:529:561:595 SD: 0.1283 cents 461:489:821:871:924 SD: 0.1274 cents 479:508:853:905:960 SD: 0.1263 cents 543:576:967:1026:1088 SD: 0.1082 cents