Scala analysis: sparschuhPiano
from Andreas Sparschuh's violin strings G 296/297 D 295/296 A 294/295
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 558/523 112.145011 2: 598/523 232.001446 3: 628/523 316.744335 4: 1323/1058 386.968121 5: 706/523 519.428684 6: 724/523 563.014501 7: 792/523 718.427381 8: 837/523 814.100012 9: 885/523 910.639810 10: 1883/1058 998.032047 11: 992/523 1108.235009 12: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 523/496 91.7650 1: 558/523 112.1450 2: 299/279 119.8564 3: 314/299 84.7429 4: 691929/664424 70.2238 5: 746948/691929 132.4606 6: 362/353 43.5858 7: 198/181 155.4129 8: 93/88 95.6726 9: 295/279 96.5398 10: 984809/936330 87.3922 11: 1049536/984809 110.2030 12: 523/496 91.7650
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 362/353 43.586 cents 1: 1 691929/664424 70.224 cents 1: 1 314/299 84.743 cents 1: 1 984809/936330 87.392 cents 1: 1 523/496 91.765 cents 1: 1 93/88 95.673 cents 1: 1 295/279 96.540 cents 1: 1 1049536/984809 110.203 cents 1: 1 558/523 112.145 cents 1: 1 299/279 119.856 cents 1: 1 746948/691929 132.461 cents 1: 1 198/181 155.413 cents 2: 1 691929/632684 154.967 cents 2: 1 765992/691929 176.046 cents 2: 1 984809/885546 183.932 cents 2: 1 295/264 192.212 cents 2: 1 992/885 197.595 cents 2: 1 396/353 198.999 cents 2: 1 2116/1883 201.968 cents 2: 1 353/314 202.684 cents 2: 1 9/8 203.910 cents major whole tone 2: 1 314/279 204.599 cents 2: 1 598/523 232.001 cents 2: 1 837/724 251.086 cents 3: 1 181/157 246.270 cents 3: 1 76881/65596 274.823 cents 3: 1 984809/837936 279.605 cents 3: 1 353/299 287.427 cents 3: 1 1046/885 289.360 cents 3: 1 32/27 294.135 cents Pythagorean minor third 3: 1 837/706 294.671 cents 3: 1 1180728/984809 314.113 cents 3: 1 628/523 316.744 cents 3: 1 299/248 323.766 cents 3: 1 93104/76881 331.459 cents 3: 1 885/724 347.625 cents 4: 1 362/299 331.013 cents 4: 1 1046/837 385.900 cents 4: 1 1323/1058 386.968 cents 4: 1 124/99 389.808 cents 4: 1 885/706 391.211 cents 4: 1 372/295 401.505 cents 4: 1 198/157 401.683 cents 4: 1 353/279 407.284 cents 4: 1 157/124 408.509 cents 4: 1 32798/25627 427.132 cents 4: 1 1265368/984809 433.969 cents 4: 1 984809/765992 435.018 cents 5: 1 362/279 450.869 cents 5: 1 984809/746948 478.603 cents 5: 1 691929/524768 478.733 cents 5: 1 523/396 481.573 cents 5: 1 396/299 486.426 cents 5: 1 837/628 497.356 cents 5: 1 4/3 498.045 cents perfect fourth 5: 1 1328848/984809 518.712 cents 5: 1 706/523 519.429 cents 5: 1 1196/885 521.362 cents 5: 1 312110/230643 523.672 cents 5: 1 248/181 545.221 cents 6: 1 724/523 563.015 cents 6: 1 837/598 582.099 cents 6: 1 496/353 588.806 cents 6: 1 378/269 588.936 cents 6: 1 31/22 593.718 cents 6: 1 885/628 593.895 cents 6: 1 1256/885 606.105 cents 6: 1 44/31 606.282 cents 6: 1 269/189 611.064 cents 6: 1 353/248 611.194 cents 6: 1 1196/837 617.901 cents 6: 1 523/362 636.985 cents 7: 1 181/124 654.779 cents 7: 1 230643/156055 676.328 cents 7: 1 885/598 678.638 cents 7: 1 523/353 680.571 cents 7: 1 984809/664424 681.288 cents 7: 1 3/2 701.955 cents perfect fifth 7: 1 1256/837 702.644 cents 7: 1 299/198 713.574 cents 7: 1 792/523 718.427 cents 7: 1 1049536/691929 721.267 cents 7: 1 1493896/984809 721.397 cents 7: 1 279/181 749.131 cents 8: 1 1531984/984809 764.982 cents 8: 1 984809/632684 766.031 cents 8: 1 25627/16399 772.868 cents 8: 1 248/157 791.491 cents 8: 1 558/353 792.716 cents 8: 1 157/99 798.317 cents 8: 1 295/186 798.495 cents 8: 1 1412/885 808.789 cents 8: 1 99/62 810.192 cents 8: 1 2116/1323 813.032 cents 8: 1 837/523 814.100 cents 8: 1 299/181 868.987 cents 9: 1 1448/885 852.375 cents 9: 1 76881/46552 868.541 cents 9: 1 496/299 876.234 cents 9: 1 523/314 883.256 cents 9: 1 984809/590364 885.887 cents 9: 1 1412/837 905.329 cents 9: 1 27/16 905.865 cents Pythagorean major sixth 9: 1 885/523 910.640 cents 9: 1 598/353 912.573 cents 9: 1 1675872/984809 920.395 cents 9: 1 131192/76881 925.177 cents 9: 1 314/181 953.730 cents 10: 1 1448/837 948.914 cents 10: 1 523/299 967.999 cents 10: 1 279/157 995.401 cents 10: 1 16/9 996.090 cents Pythagorean minor seventh 10: 1 628/353 997.316 cents 10: 1 1883/1058 998.032 cents 10: 1 353/198 1001.001 cents 10: 1 885/496 1002.405 cents 10: 1 528/295 1007.788 cents 10: 1 1771092/984809 1016.068 cents 10: 1 691929/382996 1023.954 cents 10: 1 1265368/691929 1045.033 cents 11: 1 181/99 1044.587 cents 11: 1 691929/373474 1067.539 cents 11: 1 558/299 1080.144 cents 11: 1 523/279 1087.855 cents 11: 1 984809/524768 1089.797 cents 11: 1 558/295 1103.460 cents 11: 1 176/93 1104.327 cents 11: 1 992/523 1108.235 cents 11: 1 1872660/984809 1112.608 cents 11: 1 299/157 1115.257 cents 11: 1 1328848/691929 1129.776 cents 11: 1 353/181 1156.414 cents Highest number of different intervals for one interval class: 12 Average number of different intervals per interval class: 12.00000 = 12
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 112.1 232.0 316.7 387.0 519.4 563.0 718.4 814.1 910.6 998.0 1108.2 1200.0 112.1 : 119.9 204.6 274.8 407.3 450.9 606.3 702.0 798.5 885.9 996.1 1087.9 1200.0 232.0 : 84.7 155.0 287.4 331.0 486.4 582.1 678.6 766.0 876.2 968.0 1080.1 1200.0 316.7 : 70.2 202.7 246.3 401.7 497.4 593.9 681.3 791.5 883.3 995.4 1115.3 1200.0 387.0 : 132.5 176.0 331.5 427.1 523.7 611.1 721.3 813.0 925.2 1045.0 1129.8 1200.0 519.4 : 43.6 199.0 294.7 391.2 478.6 588.8 680.6 792.7 912.6 997.3 1067.5 1200.0 563.0 : 155.4 251.1 347.6 435.0 545.2 637.0 749.1 869.0 953.7 1024.0 1156.4 1200.0 718.4 : 95.7 192.2 279.6 389.8 481.6 593.7 713.6 798.3 868.5 1001.0 1044.6 1200.0 814.1 : 96.5 183.9 294.1 385.9 498.0 617.9 702.6 772.9 905.3 948.9 1104.3 1200.0 910.6 : 87.4 197.6 289.4 401.5 521.4 606.1 676.3 808.8 852.4 1007.8 1103.5 1200.0 998.0 : 110.2 202.0 314.1 434.0 518.7 588.9 721.4 765.0 920.4 1016.1 1112.6 1200.0 1108.2: 91.8 203.9 323.8 408.5 478.7 611.2 654.8 810.2 905.9 1002.4 1089.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 43.5858 .. 155.4129 cents 34947/32761, 111.8271 cents 362/353, 43.5858 cents 2: 154.9667 .. 251.0855 cents 4903301/4638487, 96.1188 cents 13915461/13919048,-0.4462 cents 3: 246.2702 .. 347.6253 cents 138945/131044, 101.3551 cents 131044/131409,-4.8153 cents 4: 331.0131 .. 435.0175 cents 12802517/12056048, 104.0045 cents 262088/264615,-16.6123 cents 5: 450.8695 .. 545.2205 cents 34596/32761, 94.3510 cents 277289104/274761711, 15.8519 cents 6: 563.0145 .. 636.9855 cents 273529/262088, 73.9710 cents 32761/32426, 17.7940 cents 7: 654.7795 .. 749.1305 cents 34596/32761, 94.3510 cents 32761/32426, 17.7940 cents 8: 764.9825 .. 868.9869 cents 12802517/12056048, 104.0045 cents 277289104/274761711, 15.8519 cents 9: 852.3747 .. 953.7298 cents 138945/131044, 101.3551 cents 262088/264615,-16.6123 cents 10: 948.9145 .. 1045.0333 cents 4903301/4638487, 96.1188 cents 131044/131409,-4.8153 cents 11: 1044.5871 .. 1156.4142 cents 34947/32761, 111.8271 cents 13915461/13919048,-0.4462 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 362/353, 43.5858 cents, class 1 Average step (divided formal octave): 100.0000 cents Largest one step interval : 198/181, 155.4129 cents Average / Smallest step : 2.294324 Largest / Average step : 1.554129 Largest / Smallest step : 3.565676 Median interval of one step : 96.10621 cents, amount: 0 Least squares average step : 100.55068 cents, oct.: 1206.60811 cents Scale is not proper Step pattern alph. order: ABCDEFGHIJKL Step pattern size order : IJCBKALFGDHE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.44620 cents Scale diversity : 1.658466 Lumma stability : 0.128720 Lumma impropriety factor : 0.036456 Rothenberg efficiency : 0.166667 redundancy: 0.833333 Efficiency x scale size : 2.000000 Number of different interval sizes : 132 = 12.00000 / class Number of one step interval sizes : 12 Highest interval variety : 12 Mean interval variety : 12.00000 = 12 Median interval variety : 12 Lowest interval variety : 12 Smallest interval difference : 66717/66712, 0.1297 cents Number of recognisable fifths : 4, average 709.1502 cents Number of appreciable fifths : 3, average 706.0578 cents Best fifths form a closed circle Formal octave complements present : 1 = 8.3333% -- Rational properties -- Prime limit : 523 Odd number limit : 984809 (O: 984809 U: 984809) Highest odd numerator or denominator: 1883 Scale harmonicity : 0.004818 Fundamental : 1/553334, -19.0778 octaves, 0.0005 Hz. Guide tone : too high to compute Exponens Consonantiae : 1.901297E+27, 90.61904 octaves Euler's gradus suavitatis : 1683 Sum of Mann's harmonic distance : 8376.0, average 698.00000 Mersenne's string divisions : too high to compute Sum of van Prooijen's expressibility: 31.29559, average 2.60797 Sum of Tenney's harmonic distance : 63.00767, average 5.25064 Vogel's harmonic complexity : 272.75000 Wille's k value : 492404 Wilson's harmonic complexity : 1694 Rectangular lattice diameter : 18 Triangular lattice diameter : 6 Lattice compactness : 233.59916, average 2.99486 Lattice compactness (without 2's) : 154.17110, average 1.97655 Number of different primes : 14 Prime exponents' range, average, count, tones@limit: 2: -1 .. 5 1.16667 18 1 3: 0 .. 3 0.91667 11 5: 0 .. 1 0.08333 1 7: 0 .. 2 0.25000 3 11: 0 .. 1 0.08333 1 13: 0 .. 1 0.08333 1 23: -2 .. 1 -0.25000 5 1 31: 0 .. 1 0.25000 3 59: 0 .. 1 0.08333 1 157: 0 .. 1 0.08333 1 181: 0 .. 1 0.08333 1 269: 0 .. 1 0.08333 1 1 353: 0 .. 1 0.08333 1 523: -1 .. 0 -0.75000 9 9 Average exponent except 2's : 13 / 12 = 1.08333 Average absolute exponent except 2's: 39 / 12 = 3.25000 Scale is weakly epimorphic with val: <12 19 27 33 41 44 53 60 70 87 89 96 102 107| Scale is weakly epimorphic with val: <12 19 27 33 41 44 53 60 70 87 90 96 101 107| Scale is weakly epimorphic with val: <12 19 27 33 41 44 54 59 71 88 89 97 102 108| Scale is weakly epimorphic with val: <12 19 27 33 41 44 54 59 71 88 90 97 101 108| Scale is weakly epimorphic with val: <12 19 27 33 41 44 54 59 72 88 89 96 102 108| Scale is weakly epimorphic with val: <12 19 27 33 41 44 54 59 72 88 90 96 101 108| Scale is weakly epimorphic with val: <12 19 27 33 42 44 54 58 71 87 89 97 102 109| Scale is weakly epimorphic with val: <12 19 27 33 42 44 54 58 71 87 90 97 101 109| Scale is weakly epimorphic with val: <12 19 27 33 42 45 54 60 72 89 90 97 103 109| Scale is weakly epimorphic with val: <12 19 27 33 42 45 54 60 72 89 91 97 102 109| Scale is weakly epimorphic with val: <12 19 27 33 43 44 54 58 70 87 89 97 102 109| Scale is weakly epimorphic with val: <12 19 27 33 43 44 54 58 70 87 90 97 101 109| Scale is weakly epimorphic with val: <12 19 27 34 41 43 54 60 70 87 89 97 102 107| Scale is weakly epimorphic with val: <12 19 27 34 41 43 54 60 70 87 90 97 101 107| Scale is weakly epimorphic with val: <12 19 27 34 41 43 55 59 71 88 89 98 102 108| Scale is weakly epimorphic with val: <12 19 27 34 41 43 55 59 71 88 90 98 101 108| Scale is weakly epimorphic with val: <12 19 27 34 41 43 55 59 72 88 89 97 102 108| Scale is weakly epimorphic with val: <12 19 27 34 41 43 55 59 72 88 90 97 101 108| Scale is weakly epimorphic with val: <12 19 27 34 42 43 55 58 71 87 89 98 102 109| Scale is weakly epimorphic with val: <12 19 27 34 42 43 55 58 71 87 90 98 101 109| Scale is weakly epimorphic with val: <12 19 27 34 42 44 55 60 72 89 90 98 103 109| Scale is weakly epimorphic with val: <12 19 27 34 42 44 55 60 72 89 91 98 102 109| Scale is weakly epimorphic with val: <12 19 27 34 42 45 54 60 72 88 89 96 103 109| Scale is weakly epimorphic with val: <12 19 27 34 42 45 54 60 72 88 91 96 101 109| Scale is weakly epimorphic with val: <12 19 27 34 43 43 55 58 70 87 89 98 102 109| Scale is weakly epimorphic with val: <12 19 27 34 43 43 55 58 70 87 90 98 101 109| Scale is weakly epimorphic with val: <12 19 27 35 41 45 53 59 72 88 89 98 102 108| Scale is weakly epimorphic with val: <12 19 27 35 41 45 53 59 72 88 90 98 101 108| Scale is weakly epimorphic with val: <12 19 27 35 42 44 55 60 72 88 89 97 103 109| Scale is weakly epimorphic with val: <12 19 27 35 42 44 55 60 72 88 91 97 101 109| Scale is weakly epimorphic with val: <12 19 27 35 42 45 55 60 72 87 89 97 103 109| Scale is weakly epimorphic with val: <12 19 27 35 42 45 55 60 72 87 91 97 101 109| Scale is weakly epimorphic with val: <12 19 28 33 41 44 54 59 70 88 89 97 102 108| Scale is weakly epimorphic with val: <12 19 28 33 41 44 54 59 70 88 90 97 101 108| Scale is weakly epimorphic with val: <12 19 28 33 41 44 54 59 71 88 89 96 102 108| Scale is weakly epimorphic with val: <12 19 28 33 41 44 54 59 71 88 90 96 101 108| Scale is weakly epimorphic with val: <12 19 28 33 42 44 54 58 70 87 89 97 102 109| Scale is weakly epimorphic with val: <12 19 28 33 42 44 54 58 70 87 90 97 101 109| Scale is weakly epimorphic with val: <12 19 28 33 42 44 55 58 72 88 89 97 102 109| Scale is weakly epimorphic with val: <12 19 28 33 42 44 55 58 72 88 90 97 101 109| Scale is weakly epimorphic with val: <12 19 28 33 42 45 54 60 71 89 90 97 103 109| Scale is weakly epimorphic with val: <12 19 28 33 42 45 54 60 71 89 91 97 102 109| Scale is weakly epimorphic with val: <12 19 28 33 42 45 54 60 72 89 90 96 103 109| Scale is weakly epimorphic with val: <12 19 28 33 42 45 54 60 72 89 91 96 102 109| Scale is weakly epimorphic with val: <12 19 28 33 42 45 55 58 72 87 89 97 102 109| Scale is weakly epimorphic with val: <12 19 28 33 42 45 55 58 72 87 90 97 101 109| Scale is weakly epimorphic with val: <12 19 28 33 43 44 55 58 72 88 89 96 102 109| Scale is weakly epimorphic with val: <12 19 28 33 43 44 55 58 72 88 90 96 101 109| Scale is weakly epimorphic with val: <12 19 28 33 43 45 55 58 72 87 89 96 102 109| Scale is weakly epimorphic with val: <12 19 28 33 43 45 55 58 72 87 90 96 101 109| Scale is weakly epimorphic with val: <12 19 28 34 41 43 55 59 70 88 89 98 102 108| Scale is weakly epimorphic with val: <12 19 28 34 41 43 55 59 70 88 90 98 101 108| Scale is weakly epimorphic with val: <12 19 28 34 41 43 55 59 71 88 89 97 102 108| Scale is weakly epimorphic with val: <12 19 28 34 41 43 55 59 71 88 90 97 101 108| Scale is weakly epimorphic with val: <12 19 28 34 42 43 55 58 70 87 89 98 102 109| Scale is weakly epimorphic with val: <12 19 28 34 42 43 55 58 70 87 90 98 101 109| Scale is weakly epimorphic with val: <12 19 28 34 42 43 55 58 72 87 89 96 102 109| Scale is weakly epimorphic with val: <12 19 28 34 42 43 55 58 72 87 90 96 101 109| Scale is weakly epimorphic with val: <12 19 28 34 42 44 55 60 71 89 90 98 103 109| Scale is weakly epimorphic with val: <12 19 28 34 42 44 55 60 71 89 91 98 102 109| Scale is weakly epimorphic with val: <12 19 28 34 42 44 55 60 72 89 90 97 103 109| Scale is weakly epimorphic with val: <12 19 28 34 42 44 55 60 72 89 91 97 102 109| Scale is weakly epimorphic with val: <12 19 28 34 42 45 54 60 71 88 89 96 103 109| Scale is weakly epimorphic with val: <12 19 28 34 42 45 54 60 71 88 91 96 101 109| Scale is weakly epimorphic with val: <12 19 28 34 43 45 53 58 72 88 89 98 102 109| Scale is weakly epimorphic with val: <12 19 28 34 43 45 53 58 72 88 90 98 101 109| Scale is weakly epimorphic with val: <12 19 28 35 41 45 53 59 71 88 89 98 102 108| Scale is weakly epimorphic with val: <12 19 28 35 41 45 53 59 71 88 90 98 101 108| Scale is weakly epimorphic with val: <12 19 28 35 42 44 55 60 71 88 89 97 103 109| Scale is weakly epimorphic with val: <12 19 28 35 42 44 55 60 71 88 91 97 101 109| Scale is weakly epimorphic with val: <12 19 28 35 42 44 55 60 72 88 89 96 103 109| Scale is weakly epimorphic with val: <12 19 28 35 42 44 55 60 72 88 91 96 101 109| Scale is weakly epimorphic with val: <12 19 28 35 42 45 55 60 71 87 89 97 103 109| Scale is weakly epimorphic with val: <12 19 28 35 42 45 55 60 71 87 91 97 101 109| Scale is weakly epimorphic with val: <12 19 28 35 42 45 55 60 72 87 89 96 103 109| Scale is weakly epimorphic with val: <12 19 28 35 42 45 55 60 72 87 91 96 101 109| Scale is weakly epimorphic with val: <12 19 28 35 43 45 54 58 72 88 89 98 102 109| Scale is weakly epimorphic with val: <12 19 28 35 43 45 54 58 72 88 90 98 101 109| Scale is weakly epimorphic with val: <12 19 29 33 41 44 54 59 70 88 89 96 102 108| Scale is weakly epimorphic with val: <12 19 29 33 41 44 54 59 70 88 90 96 101 108| Scale is weakly epimorphic with val: <12 19 29 33 42 44 55 58 71 88 89 97 102 109| Scale is weakly epimorphic with val: <12 19 29 33 42 44 55 58 71 88 90 97 101 109| Scale is weakly epimorphic with val: <12 19 29 33 42 45 54 60 70 89 90 97 103 109| Scale is weakly epimorphic with val: <12 19 29 33 42 45 54 60 70 89 91 97 102 109| Scale is weakly epimorphic with val: <12 19 29 33 42 45 54 60 71 89 90 96 103 109| Scale is weakly epimorphic with val: <12 19 29 33 42 45 54 60 71 89 91 96 102 109| Scale is weakly epimorphic with val: <12 19 29 33 42 45 55 58 71 87 89 97 102 109| Scale is weakly epimorphic with val: <12 19 29 33 42 45 55 58 71 87 90 97 101 109| Scale is weakly epimorphic with val: <12 19 29 33 43 44 55 58 71 88 89 96 102 109| Scale is weakly epimorphic with val: <12 19 29 33 43 44 55 58 71 88 90 96 101 109| Scale is weakly epimorphic with val: <12 19 29 33 43 45 55 58 71 87 89 96 102 109| Scale is weakly epimorphic with val: <12 19 29 33 43 45 55 58 71 87 90 96 101 109| Scale is weakly epimorphic with val: <12 19 29 34 41 43 55 59 70 88 89 97 102 108| Scale is weakly epimorphic with val: <12 19 29 34 41 43 55 59 70 88 90 97 101 108| Scale is weakly epimorphic with val: <12 19 29 34 42 43 55 58 71 87 89 96 102 109| Scale is weakly epimorphic with val: <12 19 29 34 42 43 55 58 71 87 90 96 101 109| Scale is weakly epimorphic with val: <12 19 29 34 42 44 55 60 70 89 90 98 103 109| Scale is weakly epimorphic with val: <12 19 29 34 42 44 55 60 70 89 91 98 102 109| Scale is weakly epimorphic with val: <12 19 29 34 42 44 55 60 71 89 90 97 103 109| Scale is weakly epimorphic with val: <12 19 29 34 42 44 55 60 71 89 91 97 102 109| Scale is weakly epimorphic with val: <12 19 29 34 42 45 54 60 70 88 89 96 103 109| Scale is weakly epimorphic with val: <12 19 29 34 42 45 54 60 70 88 91 96 101 109| Scale is weakly epimorphic with val: <12 19 29 34 43 45 53 58 71 88 89 98 102 109| Scale is weakly epimorphic with val: <12 19 29 34 43 45 53 58 71 88 90 98 101 109| Scale is weakly epimorphic with val: <12 19 29 35 41 45 53 59 70 88 89 98 102 108| Scale is weakly epimorphic with val: <12 19 29 35 41 45 53 59 70 88 90 98 101 108| Scale is weakly epimorphic with val: <12 19 29 35 42 44 55 60 70 88 89 97 103 109| Scale is weakly epimorphic with val: <12 19 29 35 42 44 55 60 70 88 91 97 101 109| Scale is weakly epimorphic with val: <12 19 29 35 42 44 55 60 71 88 89 96 103 109| Scale is weakly epimorphic with val: <12 19 29 35 42 44 55 60 71 88 91 96 101 109| Scale is weakly epimorphic with val: <12 19 29 35 42 45 55 60 70 87 89 97 103 109| Scale is weakly epimorphic with val: <12 19 29 35 42 45 55 60 70 87 91 97 101 109| Scale is weakly epimorphic with val: <12 19 29 35 42 45 55 60 71 87 89 96 103 109| Scale is weakly epimorphic with val: <12 19 29 35 42 45 55 60 71 87 91 96 101 109| Scale is weakly epimorphic with val: <12 19 29 35 43 45 54 58 71 88 89 98 102 109| Scale is weakly epimorphic with val: <12 19 29 35 43 45 54 58 71 88 90 98 101 109|
FIT/MODE
12: 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 18.4627 c. M:-36.9855 c. Twelve-tone Chromatic (1/11-comma) 19: 2 2 1 1 2 1 2 2 1 2 2 1 P D3 SD: 16.3404 c. M:-28.6071 c. 20: 2 2 1 1 3 0 3 2 1 2 1 2 N SD: 18.6021 c. M: 28.2350 c. 21: 2 2 2 1 2 1 3 1 2 1 2 2 P D3 SD: 15.7828 c. M: 26.6035 c. 22: 2 2 2 1 2 1 3 2 2 1 2 2 N SD: 14.1509 c. M: 28.5196 c. 25: 2 3 2 1 3 1 3 2 2 2 2 2 P D3 SD: 9.4496 c. M:-19.2557 c. 28: 3 2 2 2 3 1 4 2 2 2 3 2 P SD: 10.5318 c. M: 17.7157 c. 30: 3 3 2 2 3 1 4 2 3 2 3 2 N SD: 7.8883 c. M: 14.1000 c. 37: 3 4 3 2 4 1 5 3 3 3 3 3 N SD: 6.8934 c. M: 14.8477 c. 40: 4 4 3 2 4 2 5 3 3 3 4 3 P SD: 7.3507 c. M:-13.2557 c. 41: 4 4 3 2 5 1 6 3 3 3 4 3 N SD: 6.0652 c. M:-13.2799 c. 43: 4 4 3 3 5 1 6 3 4 3 4 3 N SD: 7.1599 c. M:-10.8039 c. 46: 4 5 3 3 5 2 6 3 4 3 4 4 P SD: 7.1175 c. M: 12.5828 c. 47: 4 5 3 3 5 2 6 4 3 4 4 4 P SD: 7.8045 c. M: 17.0228 c. 49: 4 5 4 3 5 2 6 4 4 4 4 4 P SD: 6.9924 c. M: 14.1858 c. 50: 5 5 3 3 6 2 6 4 4 4 4 4 P SD: 6.6101 c. M:-12.9855 c. 52: 5 5 4 3 5 2 7 4 4 4 5 4 N SD: 6.4486 c. M: 11.7364 c. 53: 5 5 4 3 6 2 7 4 4 4 5 4 P SD: 3.0990 c. M:-6.1009 c. 77: 7 8 5 5 8 3 10 6 6 6 7 6 N SD: 3.4205 c. M: 6.7437 c. 83: 8 8 6 5 9 3 11 6 7 6 8 6 N SD: 2.7865 c. M:-5.0180 c. 87: 8 9 6 5 10 3 11 7 7 6 8 7 N SD: 2.6996 c. M: 4.9286 c. 94: 9 9 7 5 11 3 12 8 7 7 9 7 N SD: 2.9131 c. M: 4.2568 c. 99: 9 10 7 6 11 3 13 8 8 7 9 8 N SD: 3.0170 c. M: 5.4387 c. 100: 9 10 7 6 11 4 13 8 8 7 9 8 N SD: 2.9894 c. M: 4.7443 c. 102: 10 10 7 6 11 4 13 8 8 8 9 8 N SD: 2.7030 c. M:-5.5020 c. 109: 10 11 8 6 12 4 14 9 9 8 10 8 N SD: 2.3542 c. M:-3.8028 c. 115: 11 11 8 7 13 4 15 9 9 9 10 9 N SD: 2.2675 c. M:-3.7071 c. 118: 11 12 8 7 13 4 16 9 10 8 11 9 N SD: 2.1813 c. M:-4.6144 c. 130: 12 13 9 8 14 5 17 10 11 9 12 10 N SD: 1.7346 c. M:-3.2063 c. 152: 14 15 11 9 17 5 20 12 12 11 14 12 N SD: 2.0375 c. M: 3.2952 c. 155: 15 15 11 9 17 6 20 12 13 11 14 12 N SD: 1.7238 c. M:-3.9840 c. 159: 15 16 11 9 18 6 20 13 13 11 15 12 N SD: 1.6969 c. M:-3.0232 c. 162: 15 16 12 9 18 6 21 13 13 12 15 12 N SD: 1.4927 c. M:-2.8761 c. 167: 16 16 12 10 18 6 22 13 14 12 15 13 N SD: 1.7308 c. M:-2.8250 c. 170: 16 17 12 10 19 6 22 13 14 12 16 13 N SD: 1.6014 c. M:-2.9243 c. 171: 16 17 12 10 19 6 22 14 14 12 16 13 N SD: 1.1918 c. M: 2.6379 c. 174: 16 18 12 10 19 7 22 14 14 13 16 13 N SD: 1.6120 c. M:-2.5027 c. 182: 17 18 13 11 20 6 24 14 15 13 17 14 N SD: 1.6070 c. M: 3.1110 c. 183: 17 18 13 11 20 7 23 15 15 13 17 14 N SD: 1.5893 c. M: 3.6733 c. 190: 18 19 13 11 21 7 25 15 15 14 17 15 N SD: 1.4517 c. M: 2.9719 c. 192: 18 19 14 11 21 7 25 15 16 14 17 15 N SD: 1.2799 c. M:-2.0057 c. 196: 18 20 14 11 22 7 25 16 16 14 18 15 N SD: 1.1710 c. M: 2.1008 c. 221: 21 22 15 13 25 8 28 18 18 16 20 17 N SD: 1.4218 c. M:-1.8821 c. 224: 21 22 16 13 25 8 29 18 18 16 21 17 N SD: 0.8457 c. M: 1.6443 c. 249: 23 25 18 14 28 9 32 20 20 18 23 19 N SD: 0.8314 c. M: 1.4260 c. 311: 29 31 22 18 35 11 40 25 25 23 28 24 N SD: 0.7613 c. M:-1.4716 c. 314: 29 32 22 18 35 11 41 25 25 23 29 24 N SD: 0.7798 c. M: 1.3170 c. 326: 30 33 23 19 36 12 42 26 26 24 30 25 N SD: 0.7382 c. M: 1.7156 c. 351: 33 35 25 20 39 13 45 28 28 26 32 27 N SD: 0.7123 c. M: 1.2381 c. 356: 33 36 25 21 39 13 46 29 28 26 33 27 N SD: 0.6789 c. M:-1.6303 c. 382: 36 38 27 22 42 14 50 30 31 28 35 29 N SD: 0.7068 c. M: 1.1041 c. 394: 37 39 28 23 44 14 51 31 32 29 36 30 N SD: 0.6267 c. M:-1.3835 c. 397: 37 40 28 23 44 14 52 31 32 29 37 30 N SD: 0.7072 c. M:-1.0849 c. 409: 38 41 29 24 45 15 53 32 33 30 38 31 N SD: 0.6381 c. M: 1.3861 c. 416: 39 41 30 24 46 15 54 33 34 30 38 32 N SD: 0.5764 c. M: 1.2322 c. 428: 40 43 30 25 47 16 55 34 35 31 39 33 N SD: 0.5583 c. M: 1.0159 c. 444: 41 45 31 26 49 16 58 35 36 32 41 34 N SD: 0.6214 c. M: 1.3342 c. 456: 42 46 32 27 50 17 59 36 37 33 42 35 N SD: 0.7199 c. M: 1.6187 c. 458: 43 46 32 27 50 17 59 37 37 33 42 35 N SD: 0.6540 c. M:-1.1863 c. 459: 43 46 32 27 51 16 60 36 37 34 42 35 N SD: 0.6314 c. M: 1.0281 c. 469: 44 47 33 27 52 17 61 37 38 34 43 36 N SD: 0.4342 c. M:-0.8344 c. 481: 45 48 34 28 53 18 62 38 39 35 44 37 N SD: 0.4043 c. M:-0.8109 c. 511: 48 51 36 30 56 19 66 41 41 37 47 39 N SD: 0.4440 c. M:-0.7728 c. 548: 51 55 39 32 60 20 71 44 44 40 50 42 N SD: 0.4238 c. M:-0.7739 c. 576: 54 57 41 34 63 21 75 46 46 42 53 44 N SD: 0.4199 c. M: 0.7514 c. 601: 56 60 43 35 66 22 78 48 48 44 55 46 N SD: 0.3633 c. M:-0.7265 c. 610: 57 61 43 36 67 22 79 49 49 44 56 47 N SD: 0.3776 c. M: 0.6940 c. 643: 60 64 46 37 71 24 83 51 52 47 59 49 N SD: 0.4332 c. M: 0.6540 c. 652: 61 65 46 38 72 24 84 52 53 47 60 50 N SD: 0.3772 c. M: 0.6360 c. 663: 62 66 47 39 73 24 86 53 53 48 61 51 N SD: 0.3322 c. M: 0.7470 c. 697: 65 70 49 41 77 25 90 56 56 51 64 53 N SD: 0.3580 c. M:-0.5332 c. 705: 66 70 50 41 78 26 91 56 57 51 65 54 N SD: 0.3547 c. M: 0.5852 c. 735: 69 73 52 43 81 27 95 59 59 53 68 56 N SD: 0.3234 c. M:-0.5939 c. 750: 70 75 53 44 83 27 97 60 60 55 69 57 N SD: 0.2946 c. M:-0.5713 c. 772: 72 77 55 45 85 28 100 62 62 56 71 59 N SD: 0.2634 c. M:-0.4078 c. 822: 77 82 58 48 91 30 106 66 66 60 75 63 N SD: 0.3014 c. M:-0.5081 c. 825: 77 83 58 48 91 30 107 66 66 60 76 63 N SD: 0.2873 c. M:-0.7258 c. 837: 78 84 59 49 92 31 108 67 67 61 77 64 N SD: 0.2472 c. M: 0.4323 c. 880: 82 88 62 52 97 32 114 70 71 64 81 67 N SD: 0.2449 c. M:-0.4014 c. 982: 92 98 69 58 108 36 127 78 79 72 90 75 N SD: 0.2437 c. M:-0.4046 c. 1004: 94 100 71 59 111 36 130 80 81 73 92 77 N SD: 0.2052 c. M:-0.4916 c. 1077: 101 107 76 63 119 39 140 86 86 79 99 82 N SD: 0.3090 c. M:-0.4001 c. 1079: 101 108 76 63 119 39 140 86 87 78 99 83 N SD: 0.2710 c. M: 0.5427 c. 1082: 101 108 77 63 119 40 140 86 87 79 99 83 N SD: 0.2480 c. M:-0.4461 c. 1091: 102 109 77 64 120 40 141 87 88 79 101 83 N SD: 0.2251 c. M:-0.4726 c. 1111: 104 111 78 65 123 40 144 89 89 81 102 85 N SD: 0.1956 c. M:-0.3014 c. 1123: 105 112 79 66 124 41 145 90 90 82 103 86 N SD: 0.1995 c. M: 0.4487 c. 1153: 108 115 81 68 127 42 149 92 93 84 106 88 N SD: 0.1875 c. M: 0.3523 c. 1178: 110 118 83 69 130 43 152 94 95 86 108 90 N SD: 0.1791 c. M:-0.3132 c. 1206: 113 120 85 71 133 44 156 96 97 88 111 92 N SD: 0.1763 c. M: 0.3264 c. 1219: 114 122 86 71 135 44 158 97 98 89 112 93 N SD: 0.1846 c. M:-0.3416 c. 1231: 115 123 87 72 136 45 159 98 99 90 113 94 N SD: 0.1600 c. M:-0.4299 c. 1266: 118 127 89 74 140 46 164 101 102 92 116 97 N SD: 0.1690 c. M: 0.2967 c. 1319: 123 132 93 77 146 48 171 105 106 96 121 101 N SD: 0.1655 c. M: 0.3116 c. 1330: 124 133 94 78 147 48 172 106 107 97 122 102 N SD: 0.1945 c. M:-0.2706 c. 1349: 126 135 95 79 149 49 175 107 109 98 124 103 N SD: 0.1496 c. M:-0.3273 c. 1356: 127 135 96 79 150 49 176 108 109 99 124 104 N SD: 0.1632 c. M: 0.2704 c. 1402: 131 140 99 82 155 51 181 112 113 102 129 107 N SD: 0.1317 c. M: 0.3104 c. 1573: 147 157 111 92 174 57 204 125 127 114 145 120 N SD: 0.1493 c. M:-0.2311 c. 1592: 149 159 112 93 176 58 206 127 128 116 146 122 N SD: 0.1370 c. M: 0.2847 c. 1682: 157 168 119 98 186 61 218 134 135 123 154 129 N SD: 0.1585 c. M: 0.2950 c. 1700: 159 170 120 99 188 62 220 135 137 124 156 130 N SD: 0.1565 c. M:-0.2796 c. 1701: 159 170 120 100 187 62 220 136 137 124 156 130 N SD: 0.1563 c. M:-0.3335 c. 1712: 160 171 121 100 189 62 222 136 138 125 157 131 N SD: 0.1177 c. M: 0.3150 c. 1742: 163 174 123 102 192 63 226 139 140 127 160 133 N SD: 0.1279 c. M: 0.2131 c. 1754: 164 175 124 103 193 64 227 140 141 128 161 134 N SD: 0.1080 c. M:-0.2611 c. 1841: 172 184 130 108 203 67 238 147 148 134 169 141 N SD: 0.1029 c. M:-0.2128 c. 2003: 187 200 142 117 221 73 259 160 161 146 184 153 N SD: 0.1012 c. M:-0.1803 c. 2121: 198 212 150 124 234 77 275 169 171 154 195 162 N SD: 0.0999 c. M:-0.2513 c. 2193: 205 219 155 128 242 80 284 175 176 160 201 168 N SD: 0.0907 c. M: 0.1639 c. 2223: 208 222 157 130 245 81 288 177 179 162 204 170 N SD: 0.0843 c. M:-0.1357 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: 8.2362 cents 3 x x x x 4 x x x 5 x x 6 S SD: 11.2938 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 8.3844 cents 5 x x 6 x x 7 x 8 x 9 x 10 S SD: 5.5292 cents 6 x 7 x x 8 x 9 x 10:11 x 12 S SD: 12.0992 cents 7 x 8 x 9 x 10 x 11:12 x 13:14 S SD: 12.8751 cents 8 x 9 x 10 x 11:12:13 x 14:15:16 S SD: 7.0131 cents 9 x 10:11 x 12 x 14 x 15:16:17:18 S SD: 10.2810 cents 10:11 x 12 x x 14:15:16:17:18:19:20 S SD: 6.9412 cents 11:12 x 13:14:15 x 17:18:19:20:21:22 SD: 9.4644 cents 12:13:14 x 15:16:17:18:19:20:21:23:24 SD: 7.3049 cents 13:14:15 x 16 x 18:20:21:22:23:25:26 SD: 5.4310 cents 14:15:16:17:18:19 x 21:22:24:25:27:28 SD: 6.7234 cents 15:16:17:18:19:20:21:23:24:25:27:28:30 SD: 5.1874 cents 16:17:18:19:20 x 22:24:26:27:28:30:32 S SD: 5.4486 cents 19:20:22:23:24 x 26:29:30:32:34:36:38 SD: 4.8203 cents 20:21:23:24:25:27:28:30:32:34:36:38:40 SD: 3.7026 cents 22:23:25:26:28:30 x 33:35:37:39:42:44 SD: 5.7591 cents 23:25:26:28:29:31:32:35:37:39:41:44:46 SD: 4.3091 cents 25:27:29:30:31:34:35:38:40:42:44:47:50 SD: 4.2775 cents 26:28:30:31:33:35:36:39:42:44:46:49:52 SD: 3.8258 cents 27:29:31:32:34:36:37:41:43:46:48:51:54 SD: 3.6288 cents 28:30:32:34:35:38:39:42:45:47:50:53:56 SD: 2.8802 cents 29:31:33:35:36:39:40:44:46:49:52:55:58 SD: 2.3878 cents 40:43:46:48:50:54:55:61:64:68:71:76:80 SD: 2.1250 cents 45:48:51:54:56:61:62:68:72:76:80:85:90 SD: 1.8746 cents 49:52:56:59:61:66:68:74:78:83:87:93:98 SD: 1.5184 cents 55:59:63:66:69:74:76:83:88:93:98:104:110 SD: 1.3009 cents 60:64:69:72:75:81:83:91:96:102:107:114:120 SD: 1.1624 cents 75:80:86:90:94:101:104:114:120:127:133:142:150 SD: 1.0531 cents 85:91:97:102:106:115:118:129:136:144:151:161:170 SD: 0.9995 cents 88:94:101:106:110:119:122:133:141:149:157:167:176 SD: 0.9425 cents 91:97:104:109:114:123:126:138:146:154:162:173:182 SD: 0.7327 cents 105:112:120:126:131:142:145:159:168:178:187:199:210 SD: 0.6394 cents 120:128:137:144:150:162:166:182:192:203:214:228:240 SD: 0.5173 cents 140:149:160:168:175:189:194:212:224:237:249:266:280 SD: 0.4898 cents 163:174:186:196:204:220:226:247:261:276:290:309:326 SD: 0.4804 cents 175:187:200:210:219:236:242:265:280:296:311:332:350 SD: 0.4126 cents 195:208:223:234:244:263:270:295:312:330:347:370:390 SD: 0.2481 cents 299:319:342:359:374:404:414:453:479:506:532:567:598 SD: 0.2296 cents 300:320:343:360:375:405:415:454:480:508:534:569:600 SD: 0.2102 cents 328:350:375:394:410:443:454:497:525:555:584:622:656 SD: 0.1574 cents 403:430:461:484:504:544:558:610:645:682:717:764:806 SD: 0.1374 cents 494:527:565:593:618:667:684:748:791:836:879:937:988 SD: 0.1297 cents 523:558:598:628:654:706:724:792:837:885:931:992:1046 SD: 0.0277 cents