Scala analysis: Sparschuh440Hz
c"526#555 d"589#624 e"658 f"702#740 g"788#832 a"880#936 b"987
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 555/526 92.909966 2: 589/526 195.845801 3: 312/263 295.779875 4: 329/263 387.629741 5: 351/263 499.689877 6: 370/263 590.954965 7: 394/263 699.759396 8: 416/263 793.824875 9: 440/263 890.928869 10: 468/263 997.734876 11: 987/526 1089.584742 12: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 1052/987 110.4153 1: 555/526 92.9100 2: 589/555 102.9358 3: 624/589 99.9341 4: 329/312 91.8499 5: 351/329 112.0601 6: 370/351 91.2651 7: 197/185 108.8044 8: 208/197 94.0655 9: 55/52 97.1040 10: 117/110 106.8060 11: 329/312 91.8499 12: 1052/987 110.4153
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 370/351 91.265 cents 1: 2 329/312 91.850 cents 1: 1 555/526 92.910 cents 1: 1 208/197 94.065 cents 1: 1 55/52 97.104 cents 1: 1 624/589 99.934 cents 1: 1 589/555 102.936 cents 1: 1 117/110 106.806 cents 1: 1 197/185 108.804 cents 1: 1 1052/987 110.415 cents 1: 1 351/329 112.060 cents 2: 1 220/197 191.169 cents 2: 1 658/589 191.784 cents 2: 1 589/526 195.846 cents 2: 1 987/880 198.656 cents 2: 1 394/351 200.070 cents 2: 1 263/234 202.265 cents 2: 2 208/185 202.870 cents 2: 2 370/329 203.325 cents 2: 2 9/8 203.910 cents major whole tone 3: 1 32/27 294.135 cents Pythagorean minor third 3: 1 658/555 294.720 cents 3: 2 185/156 295.175 cents 3: 1 987/832 295.760 cents 3: 1 312/263 295.780 cents 3: 1 234/197 297.975 cents 3: 1 44/37 299.974 cents 3: 1 702/589 303.844 cents 3: 1 1178/987 306.261 cents 3: 1 263/220 309.071 cents 3: 1 394/329 312.130 cents 4: 1 329/263 387.630 cents 4: 1 987/788 389.825 cents 4: 1 440/351 391.239 cents 4: 1 740/589 395.109 cents 4: 1 589/468 398.111 cents 4: 1 111/88 401.981 cents 4: 1 197/156 403.980 cents 4: 1 263/208 406.175 cents 4: 2 416/329 406.195 cents 4: 2 234/185 406.780 cents 5: 5 4/3 498.045 cents perfect fourth 5: 1 987/740 498.630 cents 5: 1 555/416 499.085 cents 5: 1 351/263 499.690 cents 5: 1 263/197 500.241 cents 5: 1 440/329 503.299 cents 5: 1 788/589 503.914 cents 5: 1 589/440 504.917 cents 6: 2 329/234 589.895 cents 6: 1 370/263 590.955 cents 6: 1 555/394 593.151 cents 6: 1 55/39 595.149 cents 6: 1 832/589 597.979 cents 6: 1 589/416 602.021 cents 6: 1 78/55 604.851 cents 6: 1 788/555 606.849 cents 6: 1 263/185 609.045 cents 6: 2 468/329 610.105 cents 7: 1 880/589 695.083 cents 7: 1 589/394 696.086 cents 7: 1 329/220 696.701 cents 7: 1 394/263 699.759 cents 7: 1 526/351 700.310 cents 7: 1 832/555 700.915 cents 7: 1 1480/987 701.370 cents 7: 5 3/2 701.955 cents perfect fifth 8: 2 185/117 793.220 cents 8: 2 329/208 793.805 cents 8: 1 416/263 793.825 cents 8: 1 312/197 796.020 cents 8: 1 176/111 798.019 cents 8: 1 936/589 801.889 cents 8: 1 589/370 804.891 cents 8: 1 351/220 808.761 cents 8: 1 1576/987 810.175 cents 8: 1 526/329 812.370 cents 9: 1 329/197 887.870 cents 9: 1 440/263 890.929 cents 9: 1 987/589 893.739 cents 9: 1 589/351 896.156 cents 9: 1 37/22 900.026 cents 9: 1 197/117 902.025 cents 9: 1 263/156 904.220 cents 9: 1 1664/987 904.240 cents 9: 2 312/185 904.825 cents 9: 1 555/329 905.280 cents 9: 1 27/16 905.865 cents Pythagorean major sixth 10: 2 16/9 996.090 cents Pythagorean minor seventh 10: 2 329/185 996.675 cents 10: 2 185/104 997.130 cents 10: 1 468/263 997.735 cents 10: 1 351/197 999.930 cents 10: 1 1760/987 1001.344 cents 10: 1 1052/589 1004.154 cents 10: 1 589/329 1008.216 cents 10: 1 197/110 1008.831 cents 11: 1 658/351 1087.940 cents 11: 1 987/526 1089.585 cents 11: 1 370/197 1091.196 cents 11: 1 220/117 1093.194 cents 11: 1 1110/589 1097.064 cents 11: 1 589/312 1100.066 cents 11: 1 104/55 1102.896 cents 11: 1 197/104 1105.935 cents 11: 1 1052/555 1107.090 cents 11: 2 624/329 1108.150 cents 11: 1 351/185 1108.735 cents Highest number of different intervals for one interval class: 11 Average number of different intervals per interval class: 9.81818 = 108/11
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 92.9 195.8 295.8 387.6 499.7 591.0 699.8 793.8 890.9 997.7 1089.6 1200.0 92.9 : 102.9 202.9 294.7 406.8 498.0 606.8 700.9 798.0 904.8 996.7 1107.1 1200.0 195.8 : 99.9 191.8 303.8 395.1 503.9 598.0 695.1 801.9 893.7 1004.2 1097.1 1200.0 295.8 : 91.8 203.9 295.2 404.0 498.0 595.1 702.0 793.8 904.2 997.1 1100.1 1200.0 387.6 : 112.1 203.3 312.1 406.2 503.3 610.1 702.0 812.4 905.3 1008.2 1108.2 1200.0 499.7 : 91.3 200.1 294.1 391.2 498.0 589.9 700.3 793.2 896.2 996.1 1087.9 1200.0 591.0 : 108.8 202.9 300.0 406.8 498.6 609.0 702.0 804.9 904.8 996.7 1108.7 1200.0 699.8 : 94.1 191.2 298.0 389.8 500.2 593.2 696.1 796.0 887.9 999.9 1091.2 1200.0 793.8 : 97.1 203.9 295.8 406.2 499.1 602.0 702.0 793.8 905.9 997.1 1105.9 1200.0 890.9 : 106.8 198.7 309.1 402.0 504.9 604.9 696.7 808.8 900.0 1008.8 1102.9 1200.0 997.7 : 91.8 202.3 295.2 398.1 498.0 589.9 702.0 793.2 902.0 996.1 1093.2 1200.0 1089.6: 110.4 203.3 306.3 406.2 498.0 610.1 701.4 810.2 904.2 1001.3 1108.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 91.2651 .. 112.0601 cents 123201/121730, 20.7950 cents 370/351, 91.2651 cents 2: 191.1695 .. 203.9100 cents 1773/1760, 12.7405 cents 72380/69147, 79.1093 cents 3: 294.1350 .. 312.1297 cents 5319/5264, 17.9947 cents 256/243, 90.2250 cents 4: 387.6297 .. 406.7799 cents 61542/60865, 19.1502 cents 108241/103622, 75.5001 cents 5: 498.0450 .. 504.9169 cents 1767/1760, 6.8719 cents 370/351, 91.2651 cents 6: 589.8949 .. 610.1051 cents 109512/108241, 20.2103 cents 72380/68913, 84.9779 cents 7: 695.0831 .. 701.9550 cents 1767/1760, 6.8719 cents 72380/68913, 84.9779 cents 8: 793.2201 .. 812.3703 cents 61542/60865, 19.1502 cents 370/351, 91.2651 cents 9: 887.8703 .. 905.8650 cents 5319/5264, 17.9947 cents 108241/103622, 75.5001 cents 10: 996.0900 .. 1008.8305 cents 1773/1760, 12.7405 cents 256/243, 90.2250 cents 11: 1087.9399 .. 1108.7349 cents 123201/121730, 20.7950 cents 72380/69147, 79.1093 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 370/351, 91.2651 cents, class 1 Average step (divided formal octave): 100.0000 cents Largest one step interval : 351/329, 112.0601 cents Average / Smallest step : 1.095709 Largest / Average step : 1.120601 Largest / Smallest step : 1.227853 Median interval of one step : 98.51903 cents, amount: 0 Most common interval of one step : 329/312, 91.8499 cents, amount: 2 Least squares average step : 99.37953 cents, oct.: 1192.55437 cents Scale is strictly proper Step pattern alph. order: ABCDEFGHIJDK Step pattern size order : CGFBKAIDEHBJ Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 75.50009 cents Scale diversity : 1.122939 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.853904 Rothenberg efficiency : 0.202652 redundancy: 0.797348 Efficiency x scale size : 2.431818 Number of different interval sizes : 108 = 9.81818 / class Number of one step interval sizes : 11 Highest interval variety : 11 Mean interval variety : 9.81818 = 108/11 Median interval variety : 8 Lowest interval variety : 8 Smallest interval difference : 86528/86527, 0.0200 cents Most common intervals : 4/3, 498.0450 cents & inv., amount: 5 Most common triad is 0.0 498.045 701.955 cents, amount: 2 Number of recognisable fifths : 12, average 700.0000 cents Scale is a well-temperament. It has 8 different sizes of fifth Scale has monotonic third-sizes over circle of fifths Best fifths form a closed circle Formal octave complements present : 1 = 8.3333% Limited transpositions with margin 19.1502 cents: 2 3 5 7 9 10 Limited inverse transpositions with margin 19.1502 cents: 1 2 4 6 7 9 11 -- Rational properties -- Prime limit : 263 Odd number limit : 987 (O: 987 U: 987) Highest odd numerator or denominator: 987 Scale harmonicity : 0.009512 Fundamental : 1/526, -9.0389 octaves, 0.4974 Hz. Guide tone : too high to compute Exponens Consonantiae : 4.589704E+17, 58.67118 octaves Euler's gradus suavitatis : 633 Sum of Mann's harmonic distance : 4448.0, average 370.66667 Mersenne's string divisions : too high to compute Sum of van Prooijen's expressibility: 28.09096, average 2.34091 Sum of Tenney's harmonic distance : 56.98551, average 4.74879 Vogel's harmonic complexity : 68.25000 Wille's k value : 493 Wilson's harmonic complexity : 639 Rectangular lattice diameter : 13 Triangular lattice diameter : 4 Lattice compactness : 223.90172, average 2.87053 Lattice compactness (without 2's) : 128.86362, average 1.65210 Number of different primes : 12 Prime exponents' range, average, count, tones@limit: 2: -1 .. 5 1.08333 19 1 3: 0 .. 3 0.66667 8 5: 0 .. 1 0.25000 3 7: 0 .. 1 0.16667 2 11: 0 .. 1 0.08333 1 13: 0 .. 1 0.33333 4 19: 0 .. 1 0.08333 1 31: 0 .. 1 0.08333 1 37: 0 .. 1 0.16667 2 47: 0 .. 1 0.16667 2 197: 0 .. 1 0.08333 1 263: -1 .. 0 -0.91667 11 11 Average exponent except 2's : 14 / 12 = 1.16667 Average absolute exponent except 2's: 36 / 12 = 3.00000 Scale is JI-epimorphic with val: <12 19 27 33 41 43 50 59 62 66 90 95| Scale is JI-epimorphic with val: <12 19 27 33 41 43 51 58 62 66 90 95| Scale is weakly epimorphic with val: <12 19 27 33 41 45 50 60 62 66 91 97| Scale is weakly epimorphic with val: <12 19 27 33 41 45 51 59 62 66 91 97| Scale is weakly epimorphic with val: <12 19 27 33 41 45 52 58 62 66 91 97| Scale is weakly epimorphic with val: <12 19 27 33 42 44 50 58 64 67 90 97| Scale is weakly epimorphic with val: <12 19 27 33 42 44 50 59 64 67 90 96| Scale is JI-epimorphic with val: <12 19 27 33 42 44 50 60 63 67 91 96| Scale is weakly epimorphic with val: <12 19 27 33 42 44 51 58 64 67 90 96| Scale is JI-epimorphic with val: <12 19 27 33 42 44 51 59 63 67 91 96| Scale is JI-epimorphic with val: <12 19 27 33 42 44 52 58 63 67 91 96| Scale is weakly epimorphic with val: <12 19 27 33 43 43 51 60 62 69 92 95| Scale is weakly epimorphic with val: <12 19 27 33 43 43 51 60 63 68 92 95| Scale is weakly epimorphic with val: <12 19 27 33 43 43 52 59 62 69 92 95| Scale is weakly epimorphic with val: <12 19 27 33 43 43 52 59 63 68 92 95| Scale is JI-epimorphic with val: <12 19 27 33 43 45 51 60 64 68 92 97| Scale is JI-epimorphic with val: <12 19 27 33 43 45 52 59 64 68 92 97| Scale is weakly epimorphic with val: <12 19 27 34 42 44 50 58 64 66 90 97| Scale is weakly epimorphic with val: <12 19 27 34 42 44 50 59 64 66 90 96| Scale is JI-epimorphic with val: <12 19 27 34 42 44 50 60 63 66 91 96| Scale is weakly epimorphic with val: <12 19 27 34 42 44 51 58 64 66 90 96| Scale is JI-epimorphic with val: <12 19 27 34 42 44 51 59 63 66 91 96| Scale is JI-epimorphic with val: <12 19 27 34 42 44 52 58 63 66 91 96| Scale is weakly epimorphic with val: <12 19 27 34 43 43 51 60 62 68 92 95| Scale is weakly epimorphic with val: <12 19 27 34 43 43 51 60 63 67 92 95| Scale is weakly epimorphic with val: <12 19 27 34 43 43 52 59 62 68 92 95| Scale is weakly epimorphic with val: <12 19 27 34 43 43 52 59 63 67 92 95| Scale is weakly epimorphic with val: <12 19 27 34 43 45 51 60 62 69 92 97| Scale is JI-epimorphic with val: <12 19 27 34 43 45 51 60 64 67 92 97| Scale is weakly epimorphic with val: <12 19 27 34 43 45 52 59 62 69 92 97| Scale is JI-epimorphic with val: <12 19 27 34 43 45 52 59 64 67 92 97| Scale is weakly epimorphic with val: <12 19 27 35 43 43 50 59 62 69 90 95| Scale is weakly epimorphic with val: <12 19 27 35 43 43 51 58 62 69 90 95| Scale is weakly epimorphic with val: <12 19 27 35 43 43 51 60 62 67 92 95| Scale is weakly epimorphic with val: <12 19 27 35 43 43 51 60 63 66 92 95| Scale is weakly epimorphic with val: <12 19 27 35 43 43 52 59 62 67 92 95| Scale is weakly epimorphic with val: <12 19 27 35 43 43 52 59 63 66 92 95| Scale is weakly epimorphic with val: <12 19 27 35 43 45 50 60 62 69 91 97| Scale is weakly epimorphic with val: <12 19 27 35 43 45 51 59 62 69 91 97| Scale is weakly epimorphic with val: <12 19 27 35 43 45 51 60 62 68 92 97| Scale is JI-epimorphic with val: <12 19 27 35 43 45 51 60 64 66 92 97| Scale is weakly epimorphic with val: <12 19 27 35 43 45 52 58 62 69 91 97| Scale is weakly epimorphic with val: <12 19 27 35 43 45 52 59 62 68 92 97| Scale is JI-epimorphic with val: <12 19 27 35 43 45 52 59 64 66 92 97| Scale is weakly epimorphic with val: <12 19 28 33 41 44 50 58 63 67 90 97| Scale is weakly epimorphic with val: <12 19 28 33 41 44 50 59 63 67 90 96| Scale is JI-epimorphic with val: <12 19 28 33 41 44 50 60 62 67 91 96| Scale is weakly epimorphic with val: <12 19 28 33 41 44 51 58 63 67 90 96| Scale is JI-epimorphic with val: <12 19 28 33 41 44 51 59 62 67 91 96| Scale is JI-epimorphic with val: <12 19 28 33 41 44 52 58 62 67 91 96| Scale is weakly epimorphic with val: <12 19 28 33 42 43 50 59 64 68 90 95| Scale is weakly epimorphic with val: <12 19 28 33 42 43 51 58 64 68 90 95| Scale is weakly epimorphic with val: <12 19 28 33 42 43 51 60 62 68 92 95| Scale is weakly epimorphic with val: <12 19 28 33 42 43 52 59 62 68 92 95| Scale is weakly epimorphic with val: <12 19 28 33 42 45 50 60 64 68 91 97| Scale is weakly epimorphic with val: <12 19 28 33 42 45 51 59 64 68 91 97| Scale is JI-epimorphic with val: <12 19 28 33 42 45 51 60 63 68 92 97| Scale is weakly epimorphic with val: <12 19 28 33 42 45 52 58 64 68 91 97| Scale is JI-epimorphic with val: <12 19 28 33 42 45 52 59 63 68 92 97| Scale is weakly epimorphic with val: <12 19 28 34 41 44 50 58 63 66 90 97| Scale is weakly epimorphic with val: <12 19 28 34 41 44 50 59 63 66 90 96| Scale is JI-epimorphic with val: <12 19 28 34 41 44 50 60 62 66 91 96| Scale is weakly epimorphic with val: <12 19 28 34 41 44 51 58 63 66 90 96| Scale is JI-epimorphic with val: <12 19 28 34 41 44 51 59 62 66 91 96| Scale is JI-epimorphic with val: <12 19 28 34 41 44 52 58 62 66 91 96| Scale is weakly epimorphic with val: <12 19 28 34 42 43 50 59 64 67 90 95| Scale is weakly epimorphic with val: <12 19 28 34 42 43 51 58 64 67 90 95| Scale is weakly epimorphic with val: <12 19 28 34 42 43 51 60 62 67 92 95| Scale is weakly epimorphic with val: <12 19 28 34 42 43 52 59 62 67 92 95| Scale is weakly epimorphic with val: <12 19 28 34 42 45 50 60 64 67 91 97| Scale is weakly epimorphic with val: <12 19 28 34 42 45 51 59 64 67 91 97| Scale is JI-epimorphic with val: <12 19 28 34 42 45 51 60 63 67 92 97| Scale is weakly epimorphic with val: <12 19 28 34 42 45 52 58 64 67 91 97| Scale is JI-epimorphic with val: <12 19 28 34 42 45 52 59 63 67 92 97| Scale is weakly epimorphic with val: <12 19 28 35 42 43 50 59 64 66 90 95| Scale is weakly epimorphic with val: <12 19 28 35 42 43 51 58 64 66 90 95| Scale is weakly epimorphic with val: <12 19 28 35 42 43 51 60 62 66 92 95| Scale is weakly epimorphic with val: <12 19 28 35 42 43 52 59 62 66 92 95| Scale is weakly epimorphic with val: <12 19 28 35 42 45 50 60 64 66 91 97| Scale is weakly epimorphic with val: <12 19 28 35 42 45 51 59 64 66 91 97| Scale is JI-epimorphic with val: <12 19 28 35 42 45 51 60 63 66 92 97| Scale is weakly epimorphic with val: <12 19 28 35 42 45 52 58 64 66 91 97| Scale is JI-epimorphic with val: <12 19 28 35 42 45 52 59 63 66 92 97| Scale is weakly epimorphic with val: <12 19 29 33 41 43 50 59 63 68 90 95| Scale is weakly epimorphic with val: <12 19 29 33 41 43 51 58 63 68 90 95| Scale is weakly epimorphic with val: <12 19 29 33 41 45 50 60 63 68 91 97| Scale is weakly epimorphic with val: <12 19 29 33 41 45 51 59 63 68 91 97| Scale is JI-epimorphic with val: <12 19 29 33 41 45 51 60 62 68 92 97| Scale is weakly epimorphic with val: <12 19 29 33 41 45 52 58 63 68 91 97| Scale is JI-epimorphic with val: <12 19 29 33 41 45 52 59 62 68 92 97| Scale is weakly epimorphic with val: <12 19 29 33 42 44 50 60 64 69 91 96| Scale is weakly epimorphic with val: <12 19 29 33 42 44 51 59 64 69 91 96| Scale is weakly epimorphic with val: <12 19 29 33 42 44 52 58 64 69 91 96| Scale is weakly epimorphic with val: <12 19 29 33 43 44 50 60 64 69 91 95| Scale is weakly epimorphic with val: <12 19 29 33 43 44 51 59 64 69 91 95| Scale is weakly epimorphic with val: <12 19 29 33 43 44 52 58 64 69 91 95| Scale is weakly epimorphic with val: <12 19 29 34 41 43 50 59 63 67 90 95| Scale is weakly epimorphic with val: <12 19 29 34 41 43 51 58 63 67 90 95| Scale is weakly epimorphic with val: <12 19 29 34 41 45 50 60 63 67 91 97| Scale is weakly epimorphic with val: <12 19 29 34 41 45 51 59 63 67 91 97| Scale is JI-epimorphic with val: <12 19 29 34 41 45 51 60 62 67 92 97| Scale is weakly epimorphic with val: <12 19 29 34 41 45 52 58 63 67 91 97| Scale is JI-epimorphic with val: <12 19 29 34 41 45 52 59 62 67 92 97| Scale is weakly epimorphic with val: <12 19 29 34 42 44 50 58 64 69 90 97| Scale is weakly epimorphic with val: <12 19 29 34 42 44 50 59 64 69 90 96| Scale is weakly epimorphic with val: <12 19 29 34 42 44 50 60 64 68 91 96| Scale is weakly epimorphic with val: <12 19 29 34 42 44 51 58 64 69 90 96| Scale is weakly epimorphic with val: <12 19 29 34 42 44 51 59 64 68 91 96| Scale is weakly epimorphic with val: <12 19 29 34 42 44 52 58 64 68 91 96| Scale is weakly epimorphic with val: <12 19 29 34 43 44 50 59 64 69 90 95| Scale is weakly epimorphic with val: <12 19 29 34 43 44 50 60 64 68 91 95| Scale is weakly epimorphic with val: <12 19 29 34 43 44 51 58 64 69 90 95| Scale is weakly epimorphic with val: <12 19 29 34 43 44 51 59 64 68 91 95| Scale is weakly epimorphic with val: <12 19 29 34 43 44 52 58 64 68 91 95| Scale is weakly epimorphic with val: <12 19 29 35 41 43 50 59 63 66 90 95| Scale is weakly epimorphic with val: <12 19 29 35 41 43 51 58 63 66 90 95| Scale is weakly epimorphic with val: <12 19 29 35 41 45 50 60 63 66 91 97| Scale is weakly epimorphic with val: <12 19 29 35 41 45 51 59 63 66 91 97| Scale is JI-epimorphic with val: <12 19 29 35 41 45 51 60 62 66 92 97| Scale is weakly epimorphic with val: <12 19 29 35 41 45 52 58 63 66 91 97| Scale is JI-epimorphic with val: <12 19 29 35 41 45 52 59 62 66 92 97| Scale is weakly epimorphic with val: <12 19 29 35 42 44 50 58 64 68 90 97| Scale is weakly epimorphic with val: <12 19 29 35 42 44 50 59 64 68 90 96| Scale is weakly epimorphic with val: <12 19 29 35 42 44 50 60 64 67 91 96| Scale is weakly epimorphic with val: <12 19 29 35 42 44 51 58 64 68 90 96| Scale is weakly epimorphic with val: <12 19 29 35 42 44 51 59 64 67 91 96| Scale is weakly epimorphic with val: <12 19 29 35 42 44 52 58 64 67 91 96| Scale is weakly epimorphic with val: <12 19 29 35 43 44 50 59 64 68 90 95| Scale is weakly epimorphic with val: <12 19 29 35 43 44 50 60 64 67 91 95| Scale is weakly epimorphic with val: <12 19 29 35 43 44 51 58 64 68 90 95| Scale is weakly epimorphic with val: <12 19 29 35 43 44 51 59 64 67 91 95| Scale is weakly epimorphic with val: <12 19 29 35 43 44 52 58 64 67 91 95|
FIT/MODE
12: 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 6.7968 c. M:-12.3703 c. Twelve-tone Chromatic (1/11-comma) 41: 3 4 3 3 4 3 4 3 3 4 3 4 SP M ME SD: 6.0626 c. M: 12.8801 c. Schismic-12 44: 3 4 4 3 4 4 4 3 4 4 3 4 SP D3 SD: 7.4525 c. M:-11.3560 c. 47: 4 4 4 3 5 3 4 4 4 4 4 4 SP D3 SD: 7.1699 c. M:-10.9484 c. 50: 4 4 4 4 5 4 4 4 4 5 3 5 SP D3 SD: 5.9281 c. M:-10.2651 c. 53: 4 5 4 4 5 4 5 4 4 5 4 5 SP M ME SD: 3.7031 c. M:-7.9278 c. Schismic-12 65: 5 6 5 5 6 5 6 5 5 6 5 6 SP M ME SD: 2.5998 c. M:-7.2311 c. 73: 6 6 6 6 6 6 7 5 6 7 5 7 SP D3 SD: 4.6199 c. M:-7.0899 c. 74: 6 6 6 6 7 5 7 6 6 7 5 7 SP D3 S SD: 3.8175 c. M:-7.6705 c. 77: 6 7 6 6 7 6 7 6 6 7 6 7 SP M ME SD: 2.3195 c. M:-6.7516 c. 85: 7 7 7 6 8 7 8 6 7 8 6 8 SP SD: 4.0136 c. M: 6.4533 c. 86: 7 7 7 7 8 6 8 7 7 8 6 8 SP D3 S SD: 3.3086 c. M:-6.9163 c. 87: 7 7 7 7 8 7 8 7 7 7 7 8 SP D3 SD: 3.8686 c. M:-6.1751 c. 89: 7 8 7 7 8 7 8 7 7 8 7 8 SP M ME SD: 2.4756 c. M:-6.4014 c. 91: 7 8 7 7 9 7 8 7 8 8 7 8 SP SD: 3.6120 c. M:-5.7744 c. 93: 7 8 8 7 9 7 8 7 8 8 7 9 SP SD: 3.3813 c. M: 6.7281 c. 94: 7 8 8 7 9 7 9 7 8 8 7 9 SP D3 SD: 3.1269 c. M: 4.6510 c. 100: 8 8 9 7 10 7 9 8 8 9 8 9 SP SD: 3.1294 c. M:-4.3101 c. 101: 8 9 8 8 9 8 9 8 8 9 8 9 SP M ME SD: 2.7739 c. M:-6.1344 c. 105: 8 9 9 8 10 8 9 8 9 9 8 10 SP SD: 2.7397 c. M: 5.2534 c. 106: 8 9 9 8 10 8 10 8 9 9 8 10 SP D3 SD: 2.2782 c. M:-3.4108 c. 118: 9 10 10 9 11 9 11 9 10 10 9 11 SP D3 SD: 1.7683 c. M:-3.9864 c. 130: 10 11 11 10 12 10 12 10 11 11 10 12 SP D3 SD: 1.5777 c. M:-4.4557 c. 142: 11 12 12 11 13 11 13 11 11 13 11 13 SP D3 S SD: 1.3413 c. M: 3.6049 c. 153: 12 13 13 11 15 11 14 12 13 13 12 14 SP SD: 2.0247 c. M: 3.3160 c. 154: 12 13 13 12 14 12 14 12 12 14 12 14 SP D3 S SD: 1.2929 c. M: 2.6172 c. 171: 13 15 14 13 16 13 16 13 14 15 13 16 SP SD: 1.3289 c. M:-1.9950 c. 183: 14 16 15 14 17 14 17 14 15 16 14 17 SP SD: 1.0009 c. M:-1.8799 c. 195: 15 17 16 15 18 15 18 15 16 17 15 18 SP SD: 0.8698 c. M:-1.7791 c. 207: 16 18 17 16 19 16 19 16 17 18 16 19 SP SD: 0.9328 c. M:-1.8248 c. 272: 21 23 23 21 25 21 25 21 22 24 21 25 SP SD: 0.8367 c. M: 1.7282 c. 281: 22 24 23 22 26 21 26 22 23 25 21 26 SP SD: 1.0103 c. M: 1.6311 c. 283: 22 24 24 21 27 21 26 22 23 25 22 26 SP SD: 0.9349 c. M: 1.7640 c. 284: 22 24 24 22 26 22 26 22 23 25 22 26 SP SD: 0.8650 c. M:-1.6491 c. 295: 23 25 25 22 28 22 27 23 24 26 23 27 SP SD: 0.7761 c. M: 1.1891 c. 307: 24 26 26 23 29 23 28 24 25 27 24 28 SP SD: 0.7145 c. M:-1.2885 c. 349: 27 30 29 27 32 27 32 27 28 31 27 32 SP SD: 0.7056 c. M:-1.6733 c. 360: 28 31 30 27 34 27 33 28 29 32 28 33 SP SD: 0.7101 c. M: 1.0682 c. 369: 29 31 31 28 35 28 33 29 30 33 28 34 SP SD: 0.7009 c. M:-1.3990 c. 372: 29 32 31 28 35 28 34 29 30 33 29 34 SP SD: 0.6460 c. M:-0.9943 c. 422: 33 36 35 32 40 32 38 33 34 38 32 39 SP SD: 0.5845 c. M:-0.9289 c. 434: 34 37 36 33 41 33 39 34 35 39 33 40 SP SD: 0.5460 c. M:-1.0993 c. 482: 37 42 40 37 45 36 44 38 39 43 37 44 SP SD: 0.6395 c. M: 0.9135 c. 487: 38 41 41 37 46 37 44 38 40 43 37 45 SP SD: 0.6141 c. M: 1.1846 c. 490: 38 42 41 37 46 37 45 38 40 43 38 45 SP SD: 0.5180 c. M: 1.0002 c. 502: 39 43 42 38 47 38 46 39 41 44 39 46 SP SD: 0.4960 c. M: 0.9221 c. 514: 40 44 43 39 48 39 47 40 42 45 40 47 SP SD: 0.5252 c. M:-0.8999 c. 516: 40 44 43 40 48 39 47 40 42 46 40 47 SP SD: 0.5128 c. M:-1.1129 c. 528: 41 45 44 41 49 40 48 41 43 47 40 49 SP SD: 0.4844 c. M:-1.0066 c. 540: 42 46 45 41 51 41 49 42 44 48 41 50 SP SD: 0.4263 c. M: 0.9631 c. 547: 42 47 46 42 51 41 50 43 44 49 42 50 SP SD: 0.5296 c. M: 0.8270 c. 552: 43 47 46 42 52 42 50 43 45 49 42 51 SP SD: 0.3631 c. M: 0.6732 c. 564: 44 48 47 43 53 43 51 44 46 50 43 52 SP SD: 0.3575 c. M:-0.7071 c. 576: 45 49 48 44 54 44 52 45 47 51 44 53 SP SD: 0.4051 c. M:-0.8400 c. 617: 48 53 51 47 58 47 56 48 50 55 47 57 SP SD: 0.3551 c. M: 0.5957 c. 629: 49 54 52 48 59 48 57 49 51 56 48 58 SP SD: 0.3379 c. M:-0.6566 c. 641: 50 55 53 49 60 49 58 50 52 57 49 59 SP SD: 0.3680 c. M:-0.7221 c. 653: 51 56 54 50 61 50 59 51 53 58 50 60 SP SD: 0.4316 c. M:-0.8113 c. 660: 51 57 55 50 62 50 60 52 53 59 50 61 SP SD: 0.3968 c. M:-0.7206 c. 674: 52 58 56 52 63 51 61 53 54 60 52 62 SP SD: 0.3954 c. M: 0.7212 c. 682: 53 58 57 52 64 52 62 53 55 61 52 63 SP SD: 0.3776 c. M: 0.6063 c. 694: 54 59 58 53 65 53 63 54 56 62 53 64 SP SD: 0.3229 c. M:-0.5288 c. 706: 55 60 59 54 66 54 64 55 57 63 54 65 SP SD: 0.3084 c. M:-0.5745 c. 827: 64 71 69 63 77 63 75 65 67 74 63 76 SP SD: 0.2926 c. M:-0.5723 c. 839: 65 72 70 64 78 64 76 66 68 75 64 77 SP SD: 0.2909 c. M:-0.5965 c. 865: 67 74 72 66 81 66 78 68 70 77 66 80 SP SD: 0.3471 c. M: 0.5777 c. 869: 67 75 72 67 81 66 79 68 70 78 66 80 SP SD: 0.3087 c. M:-0.6541 c. 877: 68 75 73 67 82 67 79 69 71 78 67 81 SP SD: 0.2840 c. M: 0.5576 c. 889: 69 76 74 68 83 68 80 70 72 79 68 82 SP SD: 0.2444 c. M: 0.5468 c. 900: 70 77 75 69 84 68 82 70 73 80 69 83 SP SD: 0.3110 c. M: 0.4915 c. 901: 70 77 75 69 84 69 81 71 73 80 69 83 SP SD: 0.2373 c. M: 0.5363 c. 942: 73 81 78 72 88 72 85 74 76 84 72 87 SP SD: 0.3044 c. M: 0.4830 c. 944: 73 81 79 72 88 72 85 74 77 84 72 87 SP SD: 0.2948 c. M: 0.6069 c. 954: 74 82 79 73 89 73 86 75 77 85 73 88 SP SD: 0.2654 c. M: 0.3883 c. 966: 75 83 80 74 90 74 87 76 78 86 74 89 SP SD: 0.2520 c. M:-0.4275 c. 1022: 79 88 85 78 96 77 93 80 83 91 78 94 SP SD: 0.2363 c. M:-0.5058 c. 1046: 81 90 87 80 98 79 95 82 85 93 80 96 SP SD: 0.2685 c. M:-0.5013 c. 1055: 82 90 88 81 98 81 95 83 85 94 81 97 SP SD: 0.2631 c. M:-0.5142 c. 1056: 82 90 88 81 99 80 96 83 85 94 81 97 SP SD: 0.2558 c. M:-0.4933 c. 1072: 83 92 89 82 100 82 97 84 87 95 82 99 SP SD: 0.2434 c. M: 0.4361 c. 1084: 84 93 90 83 101 83 98 85 88 96 83 100 SP SD: 0.2167 c. M: 0.4279 c. 1096: 85 94 91 84 102 84 99 86 89 97 84 101 SP SD: 0.2150 c. M: 0.4198 c. 1099: 85 94 92 84 103 83 100 86 89 98 84 101 SP SD: 0.2066 c. M:-0.4011 c. 1123: 87 96 94 86 105 85 102 88 91 100 86 103 SP SD: 0.2392 c. M:-0.3992 c. 1152: 89 99 96 88 108 87 105 90 93 103 88 106 SP SD: 0.1946 c. M: 0.3300 c. 1164: 90 100 97 89 109 88 106 91 94 104 89 107 SP SD: 0.1659 c. M:-0.3101 c. 1176: 91 101 98 90 110 89 107 92 95 105 90 108 SP SD: 0.1650 c. M:-0.3101 c. 1188: 92 102 99 91 111 90 108 93 96 106 91 109 SP SD: 0.1906 c. M:-0.3142 c. 1294: 100 111 108 99 121 98 118 101 105 115 99 119 SP SD: 0.1773 c. M:-0.3952 c. 1359: 105 117 113 104 127 103 123 107 110 121 104 125 SP SD: 0.1617 c. M: 0.4216 c. 1360: 105 117 113 104 127 104 123 107 110 121 104 125 SP SD: 0.2076 c. M:-0.2928 c. 1367: 106 117 114 105 127 104 124 107 111 122 104 126 SP SD: 0.2038 c. M:-0.3732 c. 1371: 106 118 114 105 128 104 124 108 111 122 105 126 SP SD: 0.1630 c. M: 0.4159 c. 1436: 111 123 120 110 134 109 130 113 116 128 110 132 SP SD: 0.1534 c. M: 0.3165 c. 1501: 116 129 125 115 140 114 136 118 121 134 115 138 SP SD: 0.1387 c. M: 0.3226 c. 1513: 117 130 126 116 141 115 137 119 122 135 116 139 SP SD: 0.1349 c. M: 0.2481 c. 1607: 124 138 134 123 150 122 146 126 130 143 123 148 SP SD: 0.1537 c. M: 0.3151 c. 1619: 125 139 135 124 151 123 147 127 131 144 124 149 SP SD: 0.1203 c. M: 0.2602 c. 1631: 126 140 136 125 152 124 148 128 132 145 125 150 SP SD: 0.1029 c. M: 0.2061 c. 1643: 127 141 137 126 153 125 149 129 133 146 126 151 SP SD: 0.1084 c. M:-0.1974 c. 1708: 132 147 142 131 159 130 155 134 138 152 131 157 SP SD: 0.1148 c. M:-0.1923 c. 1923: 149 165 160 147 180 146 174 151 156 171 147 177 SP SD: 0.1104 c. M: 0.2274 c. 1988: 154 170 166 152 186 151 180 156 161 177 152 183 SP SD: 0.1059 c. M: 0.2724 c. 2000: 155 171 167 153 187 152 181 157 162 178 153 184 SP SD: 0.0998 c. M: 0.2458 c. 2041: 158 175 170 156 191 155 185 160 165 182 156 188 SP SD: 0.0974 c. M: 0.1890 c. 2053: 159 176 171 157 192 156 186 161 166 183 157 189 SP SD: 0.0661 c. M: 0.1349 c. 2065: 160 177 172 158 193 157 187 162 167 184 158 190 SP SD: 0.0499 c. M: 0.0984 c. 2248: 174 193 187 172 210 171 204 176 182 200 172 207 SP SD: 0.0526 c. M: 0.0853 c. 2260: 175 194 188 173 211 172 205 177 183 201 173 208 SP SD: 0.0397 c. M:-0.0834 c.
FIT/HARMONIC
1 x x x x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x x 3 x x x x 4 S SD: 1.0978 cents 3 x x x x 4 x x x 5 x x 6 S SD: 2.2576 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 7.2555 cents 5 x x 6 x x 7 x 8 x 9 x 10 S SD: 7.0844 cents 6 x x 7 x 8 x 9 x 10 x 11:12 S SD: 8.3404 cents 7 x 8 x 9 x 10 x 11:12 x 13:14 S SD: 11.4581 cents 8 x 9 x 10 x 11:12:13 x 14:15:16 S SD: 8.5342 cents 9 x 10 x 11:12:13 x 14:15:16:17:18 S SD: 7.7772 cents 10 x 11:12 x 13:14:15:16:17:18:19:20 S SD: 7.4256 cents 11 x 12:13:14:15 x 16:17:18:20:21:22 S SD: 11.1098 cents 12:13 x 14:15:16:17:18:19:20:21:23:24 SD: 6.6223 cents 13:14 x 15:16:17:18:19:21:22:23:24:26 SD: 9.4477 cents 14:15:16:17:18:19:20:21:22:23:25:26:28 SD: 7.8430 cents 15:16:17:18:19:20:21:22:24:25:27:28:30 SD: 5.2609 cents 16:17:18:19:20:21:23:24:25:27:28:30:32 SD: 5.2427 cents 17:18:19:20:21:23:24:25:27:28:30:32:34 SD: 4.8415 cents 22:23:25:26:28:29:31:33:35:37:39:41:44 SD: 4.3113 cents 24:25:27:28:30:32:34:36:38:40:43:45:48 SD: 3.4735 cents 31:33:35:37:39:41:44:46:49:52:55:58:62 SD: 3.1981 cents 32:34:36:38:40:43:45:48:51:54:57:60:64 SD: 2.2961 cents 36:38:40:43:45:48:51:54:57:60:64:68:72 SD: 2.1338 cents 48:51:54:57:60:64:68:72:76:80:85:90:96 S SD: 1.8377 cents 52:55:58:62:65:69:73:78:82:87:93:98:104 SD: 1.7097 cents 56:59:63:66:70:75:79:84:89:94:100:105:112 SD: 1.6778 cents 57:60:64:68:71:76:80:85:90:95:101:107:114 SD: 1.6199 cents 58:61:65:69:73:77:82:87:92:97:103:109:116 SD: 1.6104 cents 59:62:66:70:74:79:83:88:93:99:105:111:118 SD: 1.3085 cents 72:76:81:85:90:96:101:108:114:120:128:135:144 SD: 1.2400 cents 74:78:83:88:93:99:104:111:117:124:132:139:148 SD: 1.0128 cents 76:80:85:90:95:101:107:114:120:127:135:143:152 SD: 0.9803 cents 86:91:96:102:108:115:121:129:136:144:153:161:172 SD: 0.9629 cents 91:96:102:108:114:121:128:136:144:152:162:171:182 SD: 0.7596 cents 107:113:120:127:134:143:151:160:169:179:190:201:214 SD: 0.7561 cents 108:114:121:128:135:144:152:162:171:181:192:203:216 SD: 0.5092 cents 167:176:187:198:209:223:235:250:264:279:297:313:334 SD: 0.3754 cents 199:210:223:236:249:266:280:298:315:333:354:373:398 SD: 0.3303 cents 235:248:263:279:294:314:331:352:372:393:418:441:470 SD: 0.3129 cents 236:249:264:280:295:315:332:354:373:395:420:443:472 SD: 0.2950 cents 251:265:281:298:314:335:353:376:397:420:447:471:502 SD: 0.1951 cents 275:290:308:326:344:367:387:412:435:460:489:516:550 SD: 0.1782 cents 359:379:402:426:449:479:505:538:568:601:639:674:718 SD: 0.1745 cents 418:441:468:496:523:558:588:626:661:699:744:784:836 SD: 0.1316 cents 526:555:589:624:658:702:740:788:832:880:936:987:1052 SD: 0.0000 cents