Scala analysis: xen18-erlich-ripple-23
12L 11s MOS for Ripple, L=81.43, s=20.56
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 81.430 cents 81.430000 2: 101.990 cents 101.990000 3: 183.420 cents 183.420000 4: 203.980 cents 203.980000 5: 285.410 cents 285.410000 6: 305.970 cents 305.970000 7: 387.400 cents 387.400000 8: 407.960 cents 407.960000 9: 489.390 cents 489.390000 10: 509.950 cents 509.950000 11: 591.380 cents 591.380000 12: 611.940 cents 611.940000 13: 693.370 cents 693.370000 14: 713.930 cents 713.930000 15: 795.360 cents 795.360000 16: 815.920 cents 815.920000 17: 897.350 cents 897.350000 18: 917.910 cents 917.910000 19: 999.340 cents 999.340000 20: 1019.900 cents 1019.900000 21: 1101.330 cents 1101.330000 22: 1121.890 cents 1121.890000 23: 1203.320 cents 1203.320000
SHOW/INTERVAL
0: 81.4300 cents 81.4300 1: 81.4300 cents 81.4300 2: 20.5600 cents 20.5600 3: 81.4300 cents 81.4300 4: 20.5600 cents 20.5600 5: 81.4300 cents 81.4300 6: 20.5600 cents 20.5600 7: 81.4300 cents 81.4300 8: 20.5600 cents 20.5600 9: 81.4300 cents 81.4300 10: 20.5600 cents 20.5600 11: 81.4300 cents 81.4300 12: 20.5600 cents 20.5600 13: 81.4300 cents 81.4300 14: 20.5600 cents 20.5600 15: 81.4300 cents 81.4300 16: 20.5600 cents 20.5600 17: 81.4300 cents 81.4300 18: 20.5600 cents 20.5600 19: 81.4300 cents 81.4300 20: 20.5600 cents 20.5600 21: 81.4300 cents 81.4300 22: 20.5600 cents 20.5600 23: 81.4300 cents 81.4300
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 11 20.56000 cents 1: 12 81.43000 cents 2: 22 101.99000 cents 2: 1 162.86000 cents 3: 10 122.55000 cents 3: 13 183.42000 cents 4: 21 203.98000 cents 4: 2 264.85000 cents 5: 9 224.54000 cents 5: 14 285.41000 cents 6: 20 305.97000 cents 6: 3 366.84000 cents 7: 8 326.53000 cents 7: 15 387.40000 cents 8: 19 407.96000 cents 8: 4 468.83000 cents 9: 7 428.52000 cents 9: 16 489.39000 cents 10: 18 509.95000 cents 10: 5 570.82000 cents 11: 6 530.51000 cents 11: 17 591.38000 cents 12: 17 611.94000 cents 12: 6 672.81000 cents 13: 5 632.50000 cents 13: 18 693.37000 cents 14: 16 713.93000 cents 14: 7 774.80000 cents 15: 4 734.49000 cents 15: 19 795.36000 cents 16: 15 815.92000 cents 16: 8 876.79000 cents 17: 3 836.48000 cents 17: 20 897.35000 cents 18: 14 917.91000 cents 18: 9 978.78000 cents 19: 2 938.47000 cents 19: 21 999.34000 cents 20: 13 1019.90000 cents 20: 10 1080.77000 cents 21: 1 1040.46000 cents 21: 22 1101.33000 cents 22: 12 1121.89000 cents 22: 11 1182.76000 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 13 14 15 16 17 18 19 20 21 22 23 0.0 : 81.4 102.0 183.4 204.0 285.4 306.0 387.4 408.0 489.4 510.0 591.4 611.9 693.4 713.9 795.4 815.9 897.3 917.9 999.3 1019.9 1101.3 1121.9 1203.3 81.4 : 20.6 102.0 122.5 204.0 224.5 306.0 326.5 408.0 428.5 510.0 530.5 611.9 632.5 713.9 734.5 815.9 836.5 917.9 938.5 1019.9 1040.5 1121.9 1203.3 102.0 : 81.4 102.0 183.4 204.0 285.4 306.0 387.4 408.0 489.4 510.0 591.4 611.9 693.4 713.9 795.4 815.9 897.4 917.9 999.3 1019.9 1101.3 1182.8 1203.3 183.4 : 20.6 102.0 122.6 204.0 224.5 306.0 326.5 408.0 428.5 510.0 530.5 611.9 632.5 713.9 734.5 815.9 836.5 917.9 938.5 1019.9 1101.3 1121.9 1203.3 204.0 : 81.4 102.0 183.4 204.0 285.4 306.0 387.4 408.0 489.4 510.0 591.4 611.9 693.4 713.9 795.4 815.9 897.3 917.9 999.3 1080.8 1101.3 1182.8 1203.3 285.4 : 20.6 102.0 122.5 204.0 224.5 306.0 326.5 408.0 428.5 509.9 530.5 611.9 632.5 713.9 734.5 815.9 836.5 917.9 999.3 1019.9 1101.3 1121.9 1203.3 306.0 : 81.4 102.0 183.4 204.0 285.4 306.0 387.4 408.0 489.4 509.9 591.4 611.9 693.4 713.9 795.4 815.9 897.3 978.8 999.3 1080.8 1101.3 1182.8 1203.3 387.4 : 20.6 102.0 122.5 204.0 224.5 306.0 326.5 408.0 428.5 509.9 530.5 611.9 632.5 713.9 734.5 815.9 897.3 917.9 999.3 1019.9 1101.3 1121.9 1203.3 408.0 : 81.4 102.0 183.4 204.0 285.4 306.0 387.4 408.0 489.4 509.9 591.4 611.9 693.4 713.9 795.4 876.8 897.3 978.8 999.3 1080.8 1101.3 1182.8 1203.3 489.4 : 20.6 102.0 122.5 204.0 224.5 306.0 326.5 408.0 428.5 510.0 530.5 611.9 632.5 713.9 795.4 815.9 897.4 917.9 999.3 1019.9 1101.3 1121.9 1203.3 510.0 : 81.4 102.0 183.4 204.0 285.4 306.0 387.4 408.0 489.4 509.9 591.4 611.9 693.4 774.8 795.4 876.8 897.3 978.8 999.3 1080.8 1101.3 1182.8 1203.3 591.4 : 20.6 102.0 122.5 204.0 224.5 306.0 326.5 408.0 428.5 509.9 530.5 611.9 693.4 713.9 795.4 815.9 897.4 917.9 999.3 1019.9 1101.3 1121.9 1203.3 611.9 : 81.4 102.0 183.4 204.0 285.4 306.0 387.4 408.0 489.4 510.0 591.4 672.8 693.4 774.8 795.4 876.8 897.4 978.8 999.3 1080.8 1101.3 1182.8 1203.3 693.4 : 20.6 102.0 122.5 204.0 224.5 306.0 326.5 408.0 428.5 510.0 591.4 611.9 693.4 713.9 795.4 815.9 897.3 917.9 999.3 1019.9 1101.3 1121.9 1203.3 713.9 : 81.4 102.0 183.4 204.0 285.4 306.0 387.4 408.0 489.4 570.8 591.4 672.8 693.4 774.8 795.4 876.8 897.3 978.8 999.3 1080.8 1101.3 1182.8 1203.3 795.4 : 20.6 102.0 122.5 204.0 224.5 306.0 326.5 408.0 489.4 509.9 591.4 611.9 693.4 713.9 795.4 815.9 897.3 917.9 999.3 1019.9 1101.3 1121.9 1203.3 815.9 : 81.4 102.0 183.4 204.0 285.4 306.0 387.4 468.8 489.4 570.8 591.4 672.8 693.4 774.8 795.4 876.8 897.3 978.8 999.3 1080.8 1101.3 1182.8 1203.3 897.3 : 20.6 102.0 122.5 204.0 224.5 306.0 387.4 408.0 489.4 510.0 591.4 611.9 693.4 713.9 795.4 815.9 897.4 917.9 999.3 1019.9 1101.3 1121.9 1203.3 917.9 : 81.4 102.0 183.4 204.0 285.4 366.8 387.4 468.8 489.4 570.8 591.4 672.8 693.4 774.8 795.4 876.8 897.4 978.8 999.3 1080.8 1101.3 1182.8 1203.3 999.3 : 20.6 102.0 122.5 204.0 285.4 306.0 387.4 408.0 489.4 510.0 591.4 611.9 693.4 713.9 795.4 815.9 897.3 917.9 999.3 1019.9 1101.3 1121.9 1203.3 1019.9: 81.4 102.0 183.4 264.9 285.4 366.8 387.4 468.8 489.4 570.8 591.4 672.8 693.4 774.8 795.4 876.8 897.3 978.8 999.3 1080.8 1101.3 1182.8 1203.3 1101.3: 20.6 102.0 183.4 204.0 285.4 306.0 387.4 408.0 489.4 510.0 591.4 611.9 693.4 713.9 795.4 815.9 897.3 917.9 999.3 1019.9 1101.3 1121.9 1203.3 1121.9: 81.4 162.9 183.4 264.8 285.4 366.8 387.4 468.8 489.4 570.8 591.4 672.8 693.4 774.8 795.4 876.8 897.4 978.8 999.3 1080.8 1101.3 1182.8 1203.3 1203.3
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 20.5600 .. 81.4300 cents 60.87000 cents 20.56000 cents 2: 101.9900 .. 162.8600 cents 60.87000 cents 20.56000 cents 3: 122.5500 .. 183.4200 cents 60.87000 cents -40.31000 cents 4: 203.9800 .. 264.8500 cents 60.87000 cents 20.56000 cents 5: 224.5400 .. 285.4100 cents 60.87000 cents -40.31000 cents 6: 305.9700 .. 366.8400 cents 60.87000 cents 20.56000 cents 7: 326.5300 .. 387.4000 cents 60.87000 cents -40.31000 cents 8: 407.9600 .. 468.8300 cents 60.87000 cents 20.56000 cents 9: 428.5200 .. 489.3900 cents 60.87000 cents -40.31000 cents 10: 509.9500 .. 570.8200 cents 60.87000 cents 20.56000 cents 11: 530.5100 .. 591.3800 cents 60.87000 cents -40.31000 cents 12: 611.9400 .. 672.8100 cents 60.87000 cents 20.56000 cents 13: 632.5000 .. 693.3700 cents 60.87000 cents -40.31000 cents 14: 713.9300 .. 774.8000 cents 60.87000 cents 20.56000 cents 15: 734.4900 .. 795.3600 cents 60.87000 cents -40.31000 cents 16: 815.9200 .. 876.7900 cents 60.87000 cents 20.56000 cents 17: 836.4800 .. 897.3500 cents 60.87000 cents -40.31000 cents 18: 917.9100 .. 978.7800 cents 60.87000 cents 20.56000 cents 19: 938.4700 .. 999.3400 cents 60.87000 cents -40.31000 cents 20: 1019.9000 .. 1080.7700 cents 60.87000 cents 20.56000 cents 21: 1040.4600 .. 1101.3300 cents 60.87000 cents -40.31000 cents 22: 1121.8900 .. 1182.7600 cents 60.87000 cents 20.56000 cents
SHOW DATA
Number of notes : 23 -- Interval properties -- Smallest interval : 20.56000 cents, class 1 Average step (divided formal octave): 52.3183 cents Largest one step interval : 81.43000 cents Average / Smallest step : 2.544662 Largest / Average step : 1.556436 Largest / Smallest step : 3.960603 Median interval of one step : 81.43000 cents, amount: 12 Most common interval of one step : 81.43000 cents, amount: 12 Least squares average step : 52.00856 cents, oct.: 1196.19691 cents Scale is not proper Scale has Myhill's property chromas: 60.87000 cents and 40.31000 cents, ratio: 1.510047 generators: 2 of 101.99000 cents and 21 of 1101.33000 cents ET pair of linear temperament : 11&12 Scale is distributional even Scale is a mode of a 1463-tone equal temperament with octave 1203.320 cents degrees: 99 124 223 248 347 372 471 496 595 620 719 744 843 868 967 992 1091 1116 1215 1240 1339 1364 1463 generators: 124 and 1339 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABABABABABABABABABABABA Step pattern size order : LSLSLSLSLSLSLSLSLSLSLSL Scale is a Constant Structure, by a margin of 20.56000 cents Scale diversity : 1.163057 Lumma stability : 0.222119 Lumma impropriety factor : 0.334990 Rothenberg efficiency : 0.695652 redundancy: 0.304348 Efficiency x scale size : 16.000000 Number of different interval sizes : 44 = 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: 22 Scale is a chain of 11 triads 0.0 101.990 203.980 cents Most common triad is 0.0 101.990 1101.330 cents, amount: 21 Number of recognisable fifths : 34, average 703.0453 cents Number of recognisable fourths : 34, average 500.2747 cents Scale contains two identical disjunct "tetrachords" of 10 notes Formal octave complements present : 23 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 11-12 -- Rational properties --
FIT/MODE
23: 1 1 1 1 1 1 1 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 N T3 SD: 23.1914 c. M: 41.7322 c. 24: 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 N M DE I SD: 11.3650 c. M: 18.8467 c. 30: 2 1 2 0 2 1 2 0 2 1 2 0 2 1 2 0 2 1 2 0 2 1 2 N I SD: 11.1302 c. M:-18.3420 c. 31: 2 1 2 0 2 1 2 1 2 0 2 1 2 0 2 1 2 1 2 0 2 1 2 N I SD: 10.8333 c. M: 19.0245 c. 32: 2 1 2 0 3 0 2 1 2 1 2 0 2 1 2 1 2 0 3 0 2 1 2 N I SD: 10.3655 c. M: 16.5025 c. 33: 2 1 2 1 2 0 3 0 2 1 2 1 2 1 2 0 3 0 2 1 2 1 2 N I SD: 9.8890 c. M: 15.3548 c. 34: 2 1 2 1 2 1 2 1 2 0 3 0 3 0 2 1 2 1 2 1 2 1 2 N I SD: 9.5165 c. M:-16.7412 c. 35: 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 P M ME I SD: 7.6396 c. M: 12.6689 c. 44: 3 1 3 0 3 1 3 1 3 1 3 0 3 1 3 1 3 1 3 0 3 1 3 N I SD: 7.6809 c. M: 12.5427 c. 45: 3 1 3 1 3 0 3 1 3 1 3 1 3 1 3 1 3 0 3 1 3 1 3 N G I SD: 7.5197 c. M: 13.0338 c. 46: 3 1 3 1 3 1 3 1 3 0 4 0 3 1 3 1 3 1 3 1 3 1 3 N SD: 7.1282 c. M: 13.2326 c. 47: 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 N M DE I SD: 2.7874 c. M: 4.6223 c. 59: 4 1 4 1 4 1 4 1 4 1 4 1 4 1 4 1 4 1 4 1 4 1 4 N M DE I SD: 0.0911 c. M: 0.1510 c. 755: 51 13 51 13 51 13 51 13 51 13 51 13 51 13 51 13 51 13 51 13 51 13 51 N M DE I SD: 0.0881 c. M: 0.1461 c. 814: 55 14 55 14 55 14 55 14 55 14 55 14 55 14 55 14 55 14 55 14 55 14 55 N M DE I SD: 0.0751 c. M: 0.1246 c. 873: 59 15 59 15 59 15 59 15 59 15 59 15 59 15 59 15 59 15 59 15 59 15 59 N M DE I SD: 0.0639 c. M: 0.1060 c. 932: 63 16 63 16 63 16 63 16 63 16 63 16 63 16 63 16 63 16 63 16 63 16 63 N M DE I SD: 0.0541 c. M: 0.0897 c. 991: 67 17 67 17 67 17 67 17 67 17 67 17 67 17 67 17 67 17 67 17 67 17 67 N M DE I SD: 0.0454 c. M: 0.0754 c. 1050: 71 18 71 18 71 18 71 18 71 18 71 18 71 18 71 18 71 18 71 18 71 18 71 N M DE I SD: 0.0378 c. M:-0.0626 c. 1109: 75 19 75 19 75 19 75 19 75 19 75 19 75 19 75 19 75 19 75 19 75 19 75 N M DE I SD: 0.0309 c. M: 0.0513 c. 1168: 79 20 79 20 79 20 79 20 79 20 79 20 79 20 79 20 79 20 79 20 79 20 79 N M DE I SD: 0.0248 c. M: 0.0411 c. 1227: 83 21 83 21 83 21 83 21 83 21 83 21 83 21 83 21 83 21 83 21 83 21 83 N M DE I SD: 0.0192 c. M: 0.0318 c. 1286: 87 22 87 22 87 22 87 22 87 22 87 22 87 22 87 22 87 22 87 22 87 22 87 N M DE I SD: 0.0141 c. M:-0.0234 c. 1345: 91 23 91 23 91 23 91 23 91 23 91 23 91 23 91 23 91 23 91 23 91 23 91 N M DE I SD: 0.0095 c. M: 0.0158 c. 1404: 95 24 95 24 95 24 95 24 95 24 95 24 95 24 95 24 95 24 95 24 95 24 95 N M DE I SD: 0.0053 c. M:-0.0088 c. 1463: 99 25 99 25 99 25 99 25 99 25 99 25 99 25 99 25 99 25 99 25 99 25 99 N M DE I SD: 0.0014 c. M: 0.0023 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 3.3200 cents 2 .. 4 match: 2 H SD: 4.6023 cents 3 .. 6 match: 3 H SD: 5.3198 cents 4 .. 8 match: 4 H SD: 7.9727 cents 5 .. 10 match: 5 H SD: 2.7820 cents 6 .. 12 match: 6 H SD: 6.5408 cents 7 .. 14 match: 7 H SD: 7.5486 cents 8 .. 16 match: 8 H SD: 7.2867 cents 9 .. 18 match: 9 H SD: 6.4803 cents 10 .. 20 match: 10 H SD: 4.4064 cents 11 .. 22 match: 11 H SD: 7.7277 cents 12 .. 24 match: 12 H SD: 5.2110 cents 13 .. 26 match: 12 SD: 7.0428 cents 14 .. 28 match: 13 S SD: 5.2626 cents 15 .. 30 match: 14 SD: 3.9789 cents 16 .. 32 match: 14 SD: 3.7621 cents 17 .. 34 match: 16 SD: 4.3649 cents 18 .. 36 match: 14 SD: 3.7660 cents 19 .. 38 match: 15 S SD: 4.2471 cents 20 .. 40 match: 13 SD: 3.6483 cents 21 .. 42 match: 18 S SD: 3.7398 cents 22 .. 44 match: 15 SD: 3.5422 cents 23 .. 46 match: 16 SD: 2.8494 cents 24 .. 48 match: 15 SD: 2.7625 cents 25 .. 50 match: 19 SD: 3.4266 cents 26 .. 52 match: 17 SD: 2.8355 cents 27 .. 54 match: 17 SD: 2.5756 cents 28 .. 56 match: 19 SD: 2.9029 cents 29 .. 58 match: 18 SD: 3.0795 cents 30 .. 60 match: 19 SD: 2.7915 cents 31 .. 62 match: 19 SD: 2.5112 cents 32 .. 64 match: 17 SD: 2.4049 cents 33 .. 66 match: 18 SD: 1.8749 cents 34 .. 68 match: 16 SD: 1.9152 cents 35 .. 70 match: 19 SD: 1.7808 cents 36 .. 72 match: 19 SD: 2.1723 cents 37 .. 74 match: 20 SD: 1.6442 cents 38 .. 76 match: 18 SD: 1.9354 cents 39 .. 78 match: 19 SD: 2.0934 cents 40 .. 80 match: 20 SD: 1.6925 cents 41 .. 82 match: 20 SD: 1.5160 cents 42 .. 84 match: 17 SD: 1.9512 cents 43 .. 86 match: 19 SD: 1.5453 cents 44 .. 88 match: 21 SD: 1.7736 cents 45 .. 90 match: 21 SD: 1.3597 cents 46 .. 92 match: 21 SD: 1.3465 cents 47 .. 94 match: 22 SD: 1.2944 cents 48 .. 96 match: 20 SD: 1.7182 cents 49 .. 98 match: 22 SD: 1.4628 cents 50 .. 100 match: 21 SD: 1.4653 cents 51 .. 102 match: 21 SD: 1.5234 cents 52 .. 104 match: 22 SD: 1.3858 cents 53 .. 106 match: 20 SD: 1.2562 cents 54 .. 108 match: 19 SD: 1.5250 cents 55 .. 110 match: 22 SD: 1.1644 cents 56 .. 112 match: 22 SD: 1.0670 cents 57 .. 114 match: 22 SD: 1.2080 cents 58 .. 116 match: 22 SD: 1.5770 cents 59 .. 118 match: 21 SD: 1.3083 cents 61 .. 122 match: 23 SD: 1.0288 cents 62 .. 124 match: 22 SD: 1.1261 cents 63 .. 126 match: 23 SD: 0.9940 cents 71 .. 142 match: 23 SD: 0.9344 cents 73 .. 146 match: 22 SD: 0.9161 cents 74 .. 148 match: 22 SD: 1.1416 cents 76 .. 152 match: 23 SD: 1.0996 cents 77 .. 154 match: 23 SD: 1.0289 cents 78 .. 156 match: 23 SD: 0.9597 cents 79 .. 158 match: 23 SD: 0.7741 cents 83 .. 166 match: 23 SD: 0.7399 cents 88 .. 176 match: 23 SD: 0.7351 cents 96 .. 192 match: 23 SD: 0.7313 cents 99 .. 198 match: 23 SD: 0.6902 cents 100 .. 200 match: 23 SD: 0.6854 cents 106 .. 212 match: 23 SD: 0.6569 cents 110 .. 220 match: 23 SD: 0.6392 cents 113 .. 226 match: 23 SD: 0.5976 cents 120 .. 240 match: 23 SD: 0.5718 cents 123 .. 246 match: 23 SD: 0.5651 cents 125 .. 250 match: 23 SD: 0.5607 cents 128 .. 256 match: 23 SD: 0.4504 cents 144 .. 289 match: 23 SD: 0.4374 cents 146 .. 293 match: 23 SD: 0.4265 cents 151 .. 303 match: 23 SD: 0.4129 cents 161 .. 323 match: 23 SD: 0.4050 cents 169 .. 339 match: 23 SD: 0.3812 cents 184 .. 369 match: 23 SD: 0.3307 cents 196 .. 393 match: 23 SD: 0.3167 cents 207 .. 415 match: 23 SD: 0.2920 cents 223 .. 447 match: 23 SD: 0.2902 cents 233 .. 467 match: 23 SD: 0.2182 cents 278 .. 557 match: 23 SD: 0.2133 cents 294 .. 589 match: 23 SD: 0.2117 cents 295 .. 591 match: 23 SD: 0.2032 cents 312 .. 625 match: 23 SD: 0.1659 cents 392 .. 786 match: 23 SD: 0.1627 cents 415 .. 832 match: 23 SD: 0.1491 cents 429 .. 860 match: 23 SD: 0.1423 cents 455 .. 912 match: 23 SD: 0.1352 cents 462 .. 926 match: 23 SD: 0.1326 cents 475 .. 952 match: 23 SD: 0.1305 cents 496 .. 994 match: 23 SD: 0.1167 cents 511 .. 1024 match: 23 SD: 0.1148 cents 542 .. 1086 match: 23 SD: 0.1033 cents 558 .. 1118 match: 23 SD: 0.1011 cents 599 .. 1200 match: 23 SD: 0.1000 cents