Scala analysis: xen18-erlich-negrisept-19
10L 9s MOS for Negrisept, L=79.63, s=45.21
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 79.630 cents 79.630000 2: 124.840 cents 124.840000 3: 204.470 cents 204.470000 4: 249.680 cents 249.680000 5: 329.310 cents 329.310000 6: 374.520 cents 374.520000 7: 454.150 cents 454.150000 8: 499.360 cents 499.360000 9: 578.990 cents 578.990000 10: 624.200 cents 624.200000 11: 703.830 cents 703.830000 12: 749.040 cents 749.040000 13: 828.670 cents 828.670000 14: 873.880 cents 873.880000 15: 953.510 cents 953.510000 16: 998.720 cents 998.720000 17: 1078.350 cents 1078.350000 18: 1123.560 cents 1123.560000 19: 1203.190 cents 1203.190000
SHOW/INTERVAL
0: 79.6300 cents 79.6300 1: 79.6300 cents 79.6300 2: 45.2100 cents 45.2100 3: 79.6300 cents 79.6300 4: 45.2100 cents 45.2100 5: 79.6300 cents 79.6300 6: 45.2100 cents 45.2100 7: 79.6300 cents 79.6300 8: 45.2100 cents 45.2100 9: 79.6300 cents 79.6300 10: 45.2100 cents 45.2100 11: 79.6300 cents 79.6300 12: 45.2100 cents 45.2100 13: 79.6300 cents 79.6300 14: 45.2100 cents 45.2100 15: 79.6300 cents 79.6300 16: 45.2100 cents 45.2100 17: 79.6300 cents 79.6300 18: 45.2100 cents 45.2100 19: 79.6300 cents 79.6300
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 9 45.21000 cents 1: 10 79.63000 cents 2: 18 124.84000 cents 2: 1 159.26000 cents 3: 8 170.05000 cents 3: 11 204.47000 cents 4: 17 249.68000 cents 4: 2 284.10000 cents 5: 7 294.89000 cents 5: 12 329.31000 cents 6: 16 374.52000 cents 6: 3 408.94000 cents 7: 6 419.73000 cents 7: 13 454.15000 cents 8: 15 499.36000 cents 8: 4 533.78000 cents 9: 5 544.57000 cents 9: 14 578.99000 cents 10: 14 624.20000 cents 10: 5 658.62000 cents 11: 4 669.41000 cents 11: 15 703.83000 cents 12: 13 749.04000 cents 12: 6 783.46000 cents 13: 3 794.25000 cents 13: 16 828.67000 cents 14: 12 873.88000 cents 14: 7 908.30000 cents 15: 2 919.09000 cents 15: 17 953.51000 cents 16: 11 998.72000 cents 16: 8 1033.14000 cents 17: 1 1043.93000 cents 17: 18 1078.35000 cents 18: 10 1123.56000 cents 18: 9 1157.98000 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 0.0 : 79.6 124.8 204.5 249.7 329.3 374.5 454.1 499.4 579.0 624.2 703.8 749.0 828.7 873.9 953.5 998.7 1078.3 1123.6 1203.2 79.6 : 45.2 124.8 170.1 249.7 294.9 374.5 419.7 499.4 544.6 624.2 669.4 749.0 794.3 873.9 919.1 998.7 1043.9 1123.6 1203.2 124.8 : 79.6 124.8 204.5 249.7 329.3 374.5 454.1 499.4 579.0 624.2 703.8 749.0 828.7 873.9 953.5 998.7 1078.3 1158.0 1203.2 204.5 : 45.2 124.8 170.0 249.7 294.9 374.5 419.7 499.4 544.6 624.2 669.4 749.0 794.3 873.9 919.1 998.7 1078.3 1123.6 1203.2 249.7 : 79.6 124.8 204.5 249.7 329.3 374.5 454.2 499.4 579.0 624.2 703.8 749.0 828.7 873.9 953.5 1033.1 1078.3 1158.0 1203.2 329.3 : 45.2 124.8 170.0 249.7 294.9 374.5 419.7 499.4 544.6 624.2 669.4 749.0 794.2 873.9 953.5 998.7 1078.3 1123.6 1203.2 374.5 : 79.6 124.8 204.5 249.7 329.3 374.5 454.2 499.4 579.0 624.2 703.8 749.0 828.7 908.3 953.5 1033.1 1078.3 1158.0 1203.2 454.1 : 45.2 124.8 170.0 249.7 294.9 374.5 419.7 499.4 544.6 624.2 669.4 749.0 828.7 873.9 953.5 998.7 1078.4 1123.6 1203.2 499.4 : 79.6 124.8 204.5 249.7 329.3 374.5 454.1 499.4 579.0 624.2 703.8 783.5 828.7 908.3 953.5 1033.1 1078.3 1158.0 1203.2 579.0 : 45.2 124.8 170.1 249.7 294.9 374.5 419.7 499.4 544.6 624.2 703.8 749.0 828.7 873.9 953.5 998.7 1078.3 1123.6 1203.2 624.2 : 79.6 124.8 204.5 249.7 329.3 374.5 454.1 499.4 579.0 658.6 703.8 783.5 828.7 908.3 953.5 1033.1 1078.3 1158.0 1203.2 703.8 : 45.2 124.8 170.0 249.7 294.9 374.5 419.7 499.4 579.0 624.2 703.8 749.0 828.7 873.9 953.5 998.7 1078.3 1123.6 1203.2 749.0 : 79.6 124.8 204.5 249.7 329.3 374.5 454.1 533.8 579.0 658.6 703.8 783.5 828.7 908.3 953.5 1033.1 1078.3 1158.0 1203.2 828.7 : 45.2 124.8 170.0 249.7 294.9 374.5 454.1 499.4 579.0 624.2 703.8 749.0 828.7 873.9 953.5 998.7 1078.4 1123.6 1203.2 873.9 : 79.6 124.8 204.5 249.7 329.3 408.9 454.1 533.8 579.0 658.6 703.8 783.5 828.7 908.3 953.5 1033.1 1078.4 1158.0 1203.2 953.5 : 45.2 124.8 170.0 249.7 329.3 374.5 454.1 499.4 579.0 624.2 703.8 749.0 828.7 873.9 953.5 998.7 1078.3 1123.6 1203.2 998.7 : 79.6 124.8 204.5 284.1 329.3 408.9 454.1 533.8 579.0 658.6 703.8 783.5 828.7 908.3 953.5 1033.1 1078.3 1158.0 1203.2 1078.3: 45.2 124.8 204.5 249.7 329.3 374.5 454.2 499.4 579.0 624.2 703.8 749.0 828.7 873.9 953.5 998.7 1078.4 1123.6 1203.2 1123.6: 79.6 159.3 204.5 284.1 329.3 408.9 454.1 533.8 579.0 658.6 703.8 783.5 828.7 908.3 953.5 1033.1 1078.3 1158.0 1203.2 1203.2
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 45.2100 .. 79.6300 cents 34.42000 cents 45.21000 cents 2: 124.8400 .. 159.2600 cents 34.42000 cents 45.21000 cents 3: 170.0500 .. 204.4700 cents 34.42000 cents 10.79000 cents 4: 249.6800 .. 284.1000 cents 34.42000 cents 45.21000 cents 5: 294.8900 .. 329.3100 cents 34.42000 cents 10.79000 cents 6: 374.5200 .. 408.9400 cents 34.42000 cents 45.21000 cents 7: 419.7300 .. 454.1500 cents 34.42000 cents 10.79000 cents 8: 499.3600 .. 533.7800 cents 34.42000 cents 45.21000 cents 9: 544.5700 .. 578.9900 cents 34.42000 cents 10.79000 cents 10: 624.2000 .. 658.6200 cents 34.42000 cents 45.21000 cents 11: 669.4100 .. 703.8300 cents 34.42000 cents 10.79000 cents 12: 749.0400 .. 783.4600 cents 34.42000 cents 45.21000 cents 13: 794.2500 .. 828.6700 cents 34.42000 cents 10.79000 cents 14: 873.8800 .. 908.3000 cents 34.42000 cents 45.21000 cents 15: 919.0900 .. 953.5100 cents 34.42000 cents 10.79000 cents 16: 998.7200 .. 1033.1400 cents 34.42000 cents 45.21000 cents 17: 1043.9300 .. 1078.3500 cents 34.42000 cents 10.79000 cents 18: 1123.5600 .. 1157.9800 cents 34.42000 cents 45.21000 cents
SHOW DATA
Number of notes : 19 -- Interval properties -- Smallest interval : 45.21000 cents, class 1 Average step (divided formal octave): 63.3258 cents Largest one step interval : 79.63000 cents Average / Smallest step : 1.400703 Largest / Average step : 1.257466 Largest / Smallest step : 1.761336 Median interval of one step : 79.63000 cents, amount: 10 Most common interval of one step : 79.63000 cents, amount: 10 Least squares average step : 63.11676 cents, oct.: 1199.21846 cents Scale is strictly proper Scale has Myhill's property chromas: 34.42000 cents and 10.79000 cents, ratio: 3.189991 generators: 2 of 124.84000 cents and 17 of 1078.35000 cents ET pair of linear temperament : 10&19 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 1783-tone equal temperament with octave 1203.190 cents degrees: 118 185 303 370 488 555 673 740 858 925 1043 1110 1228 1295 1413 1480 1598 1665 1783 generators: 185 and 1598 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABABABABABABABABABA Step pattern size order : LSLSLSLSLSLSLSLSLSL Scale is a Constant Structure, by a margin of 10.79000 cents Scale diversity : 1.178550 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.485069 Rothenberg efficiency : 0.701754 redundancy: 0.298246 Efficiency x scale size : 13.333333 Number of different interval sizes : 36 = 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 : 10.79000 cents Most common intervals : 124.84000 cents & inv., amount: 18 Scale is a chain of 9 triads 0.0 124.840 249.680 cents Most common triad is 0.0 124.840 1078.350 cents, amount: 17 Number of recognisable fifths : 15, average 703.8300 cents Number of recognisable fourths : 15, average 499.3600 cents Scale contains two identical disjunct "tetrachords" of 9 notes Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 19 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 9-10 -- Rational properties --
FIT/MODE
19: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 9.9224 c. M:-16.3042 c. 29: 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 P M ME I SD: 2.0379 c. M:-3.3486 c. 77: 5 3 5 3 5 3 5 3 5 3 5 3 5 3 5 3 5 3 5 SP M DE I SD: 0.9133 c. M:-1.5008 c. 106: 7 4 7 4 7 4 7 4 7 4 7 4 7 4 7 4 7 4 7 SP M DE I SD: 0.1059 c. M:-0.1741 c. 347: 23 13 23 13 23 13 23 13 23 13 23 13 23 13 23 13 23 13 23 SP M DE I SD: 0.0732 c. M:-0.1203 c. 453: 30 17 30 17 30 17 30 17 30 17 30 17 30 17 30 17 30 17 30 SP M DE I SD: 0.0313 c. M:-0.0515 c. 559: 37 21 37 21 37 21 37 21 37 21 37 21 37 21 37 21 37 21 37 SP M DE I SD: 0.0053 c. M:-0.0087 c. 1224: 81 46 81 46 81 46 81 46 81 46 81 46 81 46 81 46 81 46 81 SP M DE I SD: 0.0043 c. M:-0.0071 c. 1783: 118 67 118 67 118 67 118 67 118 67 118 67 118 67 118 67 118 67 118 SP M DE I SD: 0.0013 c. M:-0.0022 c. 2342: 155 88 155 88 155 88 155 88 155 88 155 88 155 88 155 88 155 88 155 SP M DE I SD: 0.0003 c. M: 0.0004 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 3.1900 cents 2 .. 4 match: 2 H SD: 1.8501 cents 3 .. 6 match: 3 H SD: 3.6774 cents 4 .. 8 match: 4 H SD: 4.9204 cents 5 .. 10 match: 5 H SD: 5.6222 cents 6 .. 12 match: 6 H SD: 5.9184 cents 7 .. 14 match: 7 H SD: 6.9102 cents 8 .. 16 match: 8 H SD: 4.6644 cents 9 .. 18 match: 9 H SD: 4.7871 cents 10 .. 20 match: 10 H SD: 6.0991 cents 11 .. 22 match: 11 H SD: 7.8487 cents 12 .. 24 match: 12 H SD: 4.8424 cents 13 .. 26 match: 13 H SD: 4.5713 cents 14 .. 28 match: 14 H SD: 4.3418 cents 15 .. 30 match: 15 H SD: 4.3924 cents 16 .. 32 match: 15 S SD: 4.7762 cents 17 .. 34 match: 15 S SD: 4.9797 cents 18 .. 36 match: 16 S SD: 3.7005 cents 19 .. 38 match: 14 SD: 4.5858 cents 20 .. 40 match: 17 SD: 2.9373 cents 21 .. 42 match: 17 SD: 3.9026 cents 22 .. 44 match: 15 SD: 3.7903 cents 23 .. 46 match: 18 SD: 3.0900 cents 24 .. 48 match: 18 SD: 2.4862 cents 25 .. 50 match: 18 SD: 3.1247 cents 26 .. 52 match: 19 SD: 2.6784 cents 28 .. 56 match: 18 SD: 2.7418 cents 30 .. 60 match: 19 SD: 2.4926 cents 32 .. 64 match: 18 SD: 2.4473 cents 33 .. 66 match: 18 SD: 2.1611 cents 37 .. 74 match: 19 SD: 1.9336 cents 38 .. 76 match: 19 SD: 1.8542 cents 41 .. 82 match: 19 SD: 1.7762 cents 42 .. 84 match: 19 SD: 1.7739 cents 44 .. 88 match: 19 SD: 1.7411 cents 46 .. 92 match: 19 SD: 1.5041 cents 50 .. 100 match: 19 SD: 1.4759 cents 56 .. 112 match: 19 SD: 1.4366 cents 57 .. 114 match: 19 SD: 1.2297 cents 63 .. 126 match: 19 SD: 1.0915 cents 66 .. 132 match: 19 SD: 1.0748 cents 70 .. 140 match: 19 SD: 1.0502 cents 78 .. 156 match: 19 SD: 0.8633 cents 83 .. 166 match: 19 SD: 0.8169 cents 90 .. 180 match: 19 SD: 0.6603 cents 104 .. 208 match: 19 SD: 0.5605 cents 120 .. 240 match: 19 SD: 0.5574 cents 129 .. 258 match: 19 SD: 0.5113 cents 146 .. 293 match: 19 SD: 0.5110 cents 149 .. 299 match: 19 SD: 0.4805 cents 161 .. 323 match: 19 SD: 0.4035 cents 173 .. 347 match: 19 SD: 0.3760 cents 186 .. 373 match: 19 SD: 0.3264 cents 207 .. 415 match: 19 SD: 0.3191 cents 231 .. 463 match: 19 SD: 0.2923 cents 233 .. 467 match: 19 SD: 0.2744 cents 253 .. 507 match: 19 SD: 0.2613 cents 257 .. 515 match: 19 SD: 0.2119 cents 277 .. 555 match: 19 SD: 0.2094 cents 297 .. 595 match: 19 SD: 0.1869 cents 360 .. 721 match: 19 SD: 0.1818 cents 373 .. 747 match: 19 SD: 0.1619 cents 401 .. 803 match: 19 SD: 0.1561 cents 430 .. 862 match: 19 SD: 0.1517 cents 440 .. 882 match: 19 SD: 0.1396 cents 463 .. 928 match: 19 SD: 0.1280 cents 509 .. 1020 match: 19 SD: 0.1249 cents 510 .. 1022 match: 19 SD: 0.1219 cents 534 .. 1070 match: 19 SD: 0.1063 cents 574 .. 1150 match: 19 SD: 0.0963 cents