Scala analysis: xenoga24
Xeno-Gothic rational adaptive tuning, 3-7 ratios (keyboards 64:63 apart)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 64/63 27.264092 septimal comma, Archytas' comma 2: 2187/2048 113.685006 apotome 3: 243/224 140.949098 Archytas' 2/3-tone 4: 9/8 203.910002 major whole tone 5: 8/7 231.174094 septimal whole tone 6: 32/27 294.134997 Pythagorean minor third 7: 2048/1701 321.399089 8: 81/64 407.820003 Pythagorean major third 9: 9/7 435.084095 septimal major third, BP third 10: 4/3 498.044999 perfect fourth 11: 256/189 525.309091 12: 729/512 611.730005 Pythagorean tritone 13: 81/56 638.994097 14: 3/2 701.955001 perfect fifth 15: 32/21 729.219093 wide fifth 16: 6561/4096 815.640007 Pythagorean augmented fifth 17: 729/448 842.904099 18: 27/16 905.865003 Pythagorean major sixth 19: 12/7 933.129094 septimal major sixth 20: 16/9 996.089998 Pythagorean minor seventh 21: 1024/567 1023.354090 22: 243/128 1109.775004 Pythagorean major seventh 23: 27/14 1137.039096 septimal major seventh 24: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 28/27 62.9609 Archytas' 1/3-tone 1: 64/63 27.2641 septimal comma, Archytas' comma 2: 137781/131072 86.4209 3: 64/63 27.2641 septimal comma, Archytas' comma 4: 28/27 62.9609 Archytas' 1/3-tone 5: 64/63 27.2641 septimal comma, Archytas' comma 6: 28/27 62.9609 Archytas' 1/3-tone 7: 64/63 27.2641 septimal comma, Archytas' comma 8: 137781/131072 86.4209 9: 64/63 27.2641 septimal comma, Archytas' comma 10: 28/27 62.9609 Archytas' 1/3-tone 11: 64/63 27.2641 septimal comma, Archytas' comma 12: 137781/131072 86.4209 13: 64/63 27.2641 septimal comma, Archytas' comma 14: 28/27 62.9609 Archytas' 1/3-tone 15: 64/63 27.2641 septimal comma, Archytas' comma 16: 137781/131072 86.4209 17: 64/63 27.2641 septimal comma, Archytas' comma 18: 28/27 62.9609 Archytas' 1/3-tone 19: 64/63 27.2641 septimal comma, Archytas' comma 20: 28/27 62.9609 Archytas' 1/3-tone 21: 64/63 27.2641 septimal comma, Archytas' comma 22: 137781/131072 86.4209 23: 64/63 27.2641 septimal comma, Archytas' comma 24: 28/27 62.9609 Archytas' 1/3-tone
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 12 64/63 27.264 cents septimal comma, Archytas' comma 1: 7 28/27 62.961 cents Archytas' 1/3-tone 1: 5 137781/131072 86.421 cents 2: 14 256/243 90.225 cents limma, Pythagorean minor second 2: 10 2187/2048 113.685 cents apotome 3: 7 16384/15309 117.489 cents 3: 5 243/224 140.949 cents Archytas' 2/3-tone 3: 2 7168/6561 153.186 cents 3: 10 567/512 176.646 cents 4: 4 65536/59049 180.450 cents Pythagorean diminished third 4: 20 9/8 203.910 cents major whole tone 5: 2 4194304/3720087 207.714 cents 5: 10 8/7 231.174 cents septimal whole tone 5: 9 7/6 266.871 cents septimal minor third 5: 3 1240029/1048576 290.331 cents 6: 18 32/27 294.135 cents Pythagorean minor third 6: 6 19683/16384 317.595 cents Pythagorean augmented second 7: 9 2048/1701 321.399 cents 7: 3 2187/1792 344.859 cents 7: 4 896/729 357.096 cents 7: 8 5103/4096 380.556 cents 8: 8 8192/6561 384.360 cents Pythagorean diminished fourth 8: 16 81/64 407.820 cents Pythagorean major third 9: 4 524288/413343 411.624 cents 9: 8 9/7 435.084 cents septimal major third, BP third 9: 11 21/16 470.781 cents narrow fourth 9: 1 11160261/8388608 494.241 cents 10: 22 4/3 498.045 cents perfect fourth 10: 2 177147/131072 521.505 cents Pythagorean augmented third 11: 11 256/189 525.309 cents 11: 1 19683/14336 548.769 cents 11: 6 112/81 561.006 cents 11: 6 45927/32768 584.466 cents 12: 12 1024/729 588.270 cents Pythagorean diminished fifth 12: 12 729/512 611.730 cents Pythagorean tritone 13: 6 65536/45927 615.534 cents 13: 6 81/56 638.994 cents 13: 1 28672/19683 651.231 cents 13: 11 189/128 674.691 cents 14: 2 262144/177147 678.495 cents Pythagorean diminished sixth 14: 22 3/2 701.955 cents perfect fifth 15: 1 16777216/11160261 705.759 cents 15: 11 32/21 729.219 cents wide fifth 15: 8 14/9 764.916 cents septimal minor sixth 15: 4 413343/262144 788.376 cents 16: 16 128/81 792.180 cents Pythagorean minor sixth 16: 8 6561/4096 815.640 cents Pythagorean augmented fifth 17: 8 8192/5103 819.444 cents 17: 4 729/448 842.904 cents 17: 3 3584/2187 855.141 cents 17: 9 1701/1024 878.601 cents 18: 6 32768/19683 882.405 cents Pythagorean diminished seventh 18: 18 27/16 905.865 cents Pythagorean major sixth 19: 3 2097152/1240029 909.669 cents 19: 9 12/7 933.129 cents septimal major sixth 19: 10 7/4 968.826 cents harmonic seventh 19: 2 3720087/2097152 992.286 cents 20: 20 16/9 996.090 cents Pythagorean minor seventh 20: 4 59049/32768 1019.550 cents Pythagorean augmented sixth 21: 10 1024/567 1023.354 cents 21: 2 6561/3584 1046.814 cents 21: 5 448/243 1059.051 cents 21: 7 15309/8192 1082.511 cents 22: 10 4096/2187 1086.315 cents Pythagorean diminished octave 22: 14 243/128 1109.775 cents Pythagorean major seventh 23: 5 262144/137781 1113.579 cents 23: 7 27/14 1137.039 cents septimal major seventh 23: 12 63/32 1172.736 cents octave - septimal comma Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 2.95652 = 68/23
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 24 0.0 : 27.3 113.7 140.9 203.9 231.2 294.1 321.4 407.8 435.1 498.0 525.3 611.7 639.0 702.0 729.2 815.6 842.9 905.9 933.1 996.1 1023.4 1109.8 1137.0 1200.0 27.3 : 86.4 113.7 176.6 203.9 266.9 294.1 380.6 407.8 470.8 498.0 584.5 611.7 674.7 702.0 788.4 815.6 878.6 905.9 968.8 996.1 1082.5 1109.8 1172.7 1200.0 113.7 : 27.3 90.2 117.5 180.4 207.7 294.1 321.4 384.4 411.6 498.0 525.3 588.3 615.5 702.0 729.2 792.2 819.4 882.4 909.7 996.1 1023.4 1086.3 1113.6 1200.0 140.9 : 63.0 90.2 153.2 180.4 266.9 294.1 357.1 384.4 470.8 498.0 561.0 588.3 674.7 702.0 764.9 792.2 855.1 882.4 968.8 996.1 1059.1 1086.3 1172.7 1200.0 203.9 : 27.3 90.2 117.5 203.9 231.2 294.1 321.4 407.8 435.1 498.0 525.3 611.7 639.0 702.0 729.2 792.2 819.4 905.9 933.1 996.1 1023.4 1109.8 1137.0 1200.0 231.2 : 63.0 90.2 176.6 203.9 266.9 294.1 380.6 407.8 470.8 498.0 584.5 611.7 674.7 702.0 764.9 792.2 878.6 905.9 968.8 996.1 1082.5 1109.8 1172.7 1200.0 294.1 : 27.3 113.7 140.9 203.9 231.2 317.6 344.9 407.8 435.1 521.5 548.8 611.7 639.0 702.0 729.2 815.6 842.9 905.9 933.1 1019.6 1046.8 1109.8 1137.0 1200.0 321.4 : 86.4 113.7 176.6 203.9 290.3 317.6 380.6 407.8 494.2 521.5 584.5 611.7 674.7 702.0 788.4 815.6 878.6 905.9 992.3 1019.6 1082.5 1109.8 1172.7 1200.0 407.8 : 27.3 90.2 117.5 203.9 231.2 294.1 321.4 407.8 435.1 498.0 525.3 588.3 615.5 702.0 729.2 792.2 819.4 905.9 933.1 996.1 1023.4 1086.3 1113.6 1200.0 435.1 : 63.0 90.2 176.6 203.9 266.9 294.1 380.6 407.8 470.8 498.0 561.0 588.3 674.7 702.0 764.9 792.2 878.6 905.9 968.8 996.1 1059.1 1086.3 1172.7 1200.0 498.0 : 27.3 113.7 140.9 203.9 231.2 317.6 344.9 407.8 435.1 498.0 525.3 611.7 639.0 702.0 729.2 815.6 842.9 905.9 933.1 996.1 1023.4 1109.8 1137.0 1200.0 525.3 : 86.4 113.7 176.6 203.9 290.3 317.6 380.6 407.8 470.8 498.0 584.5 611.7 674.7 702.0 788.4 815.6 878.6 905.9 968.8 996.1 1082.5 1109.8 1172.7 1200.0 611.7 : 27.3 90.2 117.5 203.9 231.2 294.1 321.4 384.4 411.6 498.0 525.3 588.3 615.5 702.0 729.2 792.2 819.4 882.4 909.7 996.1 1023.4 1086.3 1113.6 1200.0 639.0 : 63.0 90.2 176.6 203.9 266.9 294.1 357.1 384.4 470.8 498.0 561.0 588.3 674.7 702.0 764.9 792.2 855.1 882.4 968.8 996.1 1059.1 1086.3 1172.7 1200.0 702.0 : 27.3 113.7 140.9 203.9 231.2 294.1 321.4 407.8 435.1 498.0 525.3 611.7 639.0 702.0 729.2 792.2 819.4 905.9 933.1 996.1 1023.4 1109.8 1137.0 1200.0 729.2 : 86.4 113.7 176.6 203.9 266.9 294.1 380.6 407.8 470.8 498.0 584.5 611.7 674.7 702.0 764.9 792.2 878.6 905.9 968.8 996.1 1082.5 1109.8 1172.7 1200.0 815.6 : 27.3 90.2 117.5 180.4 207.7 294.1 321.4 384.4 411.6 498.0 525.3 588.3 615.5 678.5 705.8 792.2 819.4 882.4 909.7 996.1 1023.4 1086.3 1113.6 1200.0 842.9 : 63.0 90.2 153.2 180.4 266.9 294.1 357.1 384.4 470.8 498.0 561.0 588.3 651.2 678.5 764.9 792.2 855.1 882.4 968.8 996.1 1059.1 1086.3 1172.7 1200.0 905.9 : 27.3 90.2 117.5 203.9 231.2 294.1 321.4 407.8 435.1 498.0 525.3 588.3 615.5 702.0 729.2 792.2 819.4 905.9 933.1 996.1 1023.4 1109.8 1137.0 1200.0 933.1 : 63.0 90.2 176.6 203.9 266.9 294.1 380.6 407.8 470.8 498.0 561.0 588.3 674.7 702.0 764.9 792.2 878.6 905.9 968.8 996.1 1082.5 1109.8 1172.7 1200.0 996.1 : 27.3 113.7 140.9 203.9 231.2 317.6 344.9 407.8 435.1 498.0 525.3 611.7 639.0 702.0 729.2 815.6 842.9 905.9 933.1 1019.6 1046.8 1109.8 1137.0 1200.0 1023.4: 86.4 113.7 176.6 203.9 290.3 317.6 380.6 407.8 470.8 498.0 584.5 611.7 674.7 702.0 788.4 815.6 878.6 905.9 992.3 1019.6 1082.5 1109.8 1172.7 1200.0 1109.8: 27.3 90.2 117.5 203.9 231.2 294.1 321.4 384.4 411.6 498.0 525.3 588.3 615.5 702.0 729.2 792.2 819.4 905.9 933.1 996.1 1023.4 1086.3 1113.6 1200.0 1137.0: 63.0 90.2 176.6 203.9 266.9 294.1 357.1 384.4 470.8 498.0 561.0 588.3 674.7 702.0 764.9 792.2 878.6 905.9 968.8 996.1 1059.1 1086.3 1172.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 27.2641 .. 86.4209 cents 8680203/8388608, 59.1568 cents 64/63, 27.2641 cents 2: 90.2250 .. 113.6850 cents 531441/524288, 23.4600 cents 33554432/33480783, 3.8041 cents 3: 117.4891 .. 176.6459 cents 8680203/8388608, 59.1568 cents 33554432/33480783, 3.8041 cents 4: 180.4500 .. 203.9100 cents 531441/524288, 23.4600 cents 33554432/33480783, 3.8041 cents 5: 207.7141 .. 290.3309 cents 82.61683 cents 33554432/33480783, 3.8041 cents 6: 294.1350 .. 317.5950 cents 531441/524288, 23.4600 cents 33554432/33480783, 3.8041 cents 7: 321.3991 .. 380.5559 cents 8680203/8388608, 59.1568 cents 33554432/33480783, 3.8041 cents 8: 384.3600 .. 407.8200 cents 531441/524288, 23.4600 cents 33554432/33480783, 3.8041 cents 9: 411.6241 .. 494.2409 cents 82.61683 cents 33554432/33480783, 3.8041 cents 10: 498.0450 .. 521.5050 cents 531441/524288, 23.4600 cents 33554432/33480783, 3.8041 cents 11: 525.3091 .. 584.4659 cents 8680203/8388608, 59.1568 cents 33554432/33480783, 3.8041 cents 12: 588.2700 .. 611.7300 cents 531441/524288, 23.4600 cents 33554432/33480783, 3.8041 cents 13: 615.5341 .. 674.6909 cents 8680203/8388608, 59.1568 cents 33554432/33480783, 3.8041 cents 14: 678.4950 .. 701.9550 cents 531441/524288, 23.4600 cents 33554432/33480783, 3.8041 cents 15: 705.7591 .. 788.3759 cents 82.61683 cents 33554432/33480783, 3.8041 cents 16: 792.1800 .. 815.6400 cents 531441/524288, 23.4600 cents 33554432/33480783, 3.8041 cents 17: 819.4441 .. 878.6009 cents 8680203/8388608, 59.1568 cents 33554432/33480783, 3.8041 cents 18: 882.4050 .. 905.8650 cents 531441/524288, 23.4600 cents 33554432/33480783, 3.8041 cents 19: 909.6691 .. 992.2859 cents 82.61683 cents 33554432/33480783, 3.8041 cents 20: 996.0900 .. 1019.5500 cents 531441/524288, 23.4600 cents 33554432/33480783, 3.8041 cents 21: 1023.3541 .. 1082.5109 cents 8680203/8388608, 59.1568 cents 33554432/33480783, 3.8041 cents 22: 1086.3150 .. 1109.7750 cents 531441/524288, 23.4600 cents 33554432/33480783, 3.8041 cents 23: 1113.5791 .. 1172.7359 cents 8680203/8388608, 59.1568 cents 33554432/33480783, 3.8041 cents
SHOW DATA
Number of notes : 24 -- Interval properties -- Smallest interval : 64/63, 27.2641 cents, class 1 Average step (divided formal octave): 50.0000 cents Largest one step interval : 137781/131072, 86.4209 cents Average / Smallest step : 1.833914 Largest / Average step : 1.728418 Largest / Smallest step : 3.169771 Median interval of one step : 45.11250 cents, amount: 0 Most common interval of one step : 64/63, 27.2641 cents, amount: 12 Least squares average step : 49.63427 cents, oct.: 1191.22246 cents Scale is strictly proper Step pattern alph. order: ABACACABACABACABACACABAC Step pattern size order : SLSMSMSLSMSLSMSLSMSMSLSM Scale is a Constant Structure, by a margin of 3.80408 cents Scale diversity : 1.234119 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.115182 Number of different interval sizes : 68 = 2.95652 / class Number of one step interval sizes : 3 Highest interval variety : 4 Mean interval variety : 2.95652 = 68/23 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 33554432/33480783, 3.8041 cents Most common intervals : 4/3, 498.0450 cents & inv., amount: 22 Most common triad is 0.0 498.045 701.955 cents, amount: 20 Number of recognisable fifths : 23, average 702.1204 cents Scale contains two identical disjunct "tetrachords" of 11 notes Scale contains a complete diamond : 1 3 9 27 Length of longest harmonic part : 1 at degree 0 Length of longest subharmonic part : 1 at degree 0 Formal octave complements present : 7 = 29.1667% Scale is n-1 differentially coherent in interval classes 9 and 10 combined Limited inverse transpositions : 23 Inversional symmetry on intervals : 11-12 23-24 -- Rational properties -- Prime limit : 7 Odd number limit : 11160261 (O: 11160261 U: 11160261) Highest odd numerator or denominator: 6561 Scale harmonicity : 0.014716 Average absolute harmonicity : 0.110591 Specific harmonicity : 0.087267 Fundamental : 1/6967296, -22.7322 octaves, 0.0000 Hz. Guide tone : 13436928, 23.6797 octaves, 3515443883.909 Hz. Exponens Consonantiae : 9.361905E+13, 46.41187 octaves Euler's gradus suavitatis : 56 Sum of Mann's harmonic distance : 12322.5, average 513.43750 Mersenne's string divisions : too high to compute Sum of van Prooijen's expressibility: 42.65402, average 1.77725 Sum of Tenney's harmonic distance : 84.98538, average 3.54106 Vogel's harmonic complexity : 34.54167 Wille's k value : 5580130 Wilson's harmonic complexity : 46 Rectangular lattice diameter : 14 Triangular lattice diameter : 14 Lattice compactness : 2562.78403, average 8.54261 Lattice compactness (without 2's) : 1303.42610, average 4.34475 Number of different primes : 3 Prime exponents' range, average, count, tones@limit: 2: -12 .. 11 -0.45833 125 1 3: -5 .. 8 1.50000 78 11 7: -1 .. 0 -0.50000 12 12 Average exponent except 2's : 24 / 24 = 1.00000 Average absolute exponent except 2's: 90 / 24 = 3.75000 Scale is weakly epimorphic with val: <24 38 65| Scale is JI-epimorphic with val: <24 38 67| = patent Scale is weakly epimorphic with val: <24 38 69|
FIT/MODE
24: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 14.7232 c. M:-28.6009 c. 25: 1 1 1 1 1 1 1 1 1 1 1 2 0 2 0 2 1 1 0 2 0 2 1 1 N D3 SD: 13.6662 c. M: 23.8200 c. 27: 1 2 0 2 0 2 0 2 1 1 1 2 0 2 0 2 1 1 1 1 1 2 1 1 N SD: 12.6907 c. M:-19.6483 c. 28: 1 2 0 2 0 2 1 2 0 2 0 2 1 1 1 2 1 1 1 1 1 2 1 1 N SD: 12.3721 c. M:-21.4581 c. 30: 1 2 1 1 1 1 1 2 1 1 1 2 1 2 0 2 1 2 0 2 1 2 0 2 N D3 SD: 11.4760 c. M:-19.0509 c. 34: 1 2 1 2 0 2 1 2 1 2 1 2 1 2 0 3 1 1 1 2 1 2 1 2 N SD: 11.4877 c. M: 23.5121 c. 36: 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 SP B ME SD: 7.6281 c. M: 15.6400 c. 38: 1 3 0 2 1 2 1 3 1 2 1 2 1 2 1 3 1 2 1 2 0 3 1 2 N SD: 9.4571 c. M: 14.6333 c. 40: 1 3 1 2 1 2 1 3 1 2 1 2 1 2 1 3 1 2 1 2 1 3 1 2 N SD: 8.3422 c. M:-14.9159 c. 41: 1 3 1 2 1 2 1 3 1 2 1 3 1 2 1 3 1 2 1 2 1 3 1 2 P SD: 2.9478 c. M:-5.8764 c. 53: 1 4 1 3 1 3 1 4 1 3 1 4 1 3 1 4 1 3 1 3 1 4 1 3 P G SD: 3.3995 c. M: 5.1682 c. 77: 2 5 2 4 2 4 2 5 2 4 2 5 2 4 2 5 2 4 2 4 2 5 2 4 SP SD: 3.0069 c. M:-5.8736 c. 94: 2 7 2 5 2 5 2 7 2 5 2 7 2 5 2 7 2 5 2 5 2 7 2 5 P G SD: 1.1376 c. M: 2.2502 c. 135: 3 10 3 7 3 7 3 10 3 7 3 10 3 7 3 10 3 7 3 7 3 10 3 7 P G SD: 1.0376 c. M:-2.1378 c. 171: 4 12 4 9 4 9 4 12 4 9 4 12 4 9 4 12 4 9 4 9 4 12 4 9 SP SD: 0.8073 c. M: 1.6049 c. 212: 5 15 5 11 5 11 5 15 5 11 5 15 5 11 5 15 5 11 5 11 5 15 5 11 SP SD: 0.6679 c. M:-1.2424 c. 265: 6 19 6 14 6 14 6 19 6 14 6 19 6 14 6 19 6 14 6 14 6 19 6 14 SP SD: 0.3241 c. M: 0.6399 c. 306: 7 22 7 16 7 16 7 22 7 16 7 22 7 16 7 22 7 16 7 16 7 22 7 16 SP SD: 0.1441 c. M:-0.2332 c. 571: 13 41 13 30 13 30 13 41 13 30 13 41 13 30 13 41 13 30 13 30 13 41 13 30 SP SD: 0.1113 c. M: 0.2284 c. 665: 15 48 15 35 15 35 15 48 15 35 15 48 15 35 15 48 15 35 15 35 15 48 15 35 SP SD: 0.1391 c. M: 0.1973 c. 706: 16 51 16 37 16 37 16 51 16 37 16 51 16 37 16 51 16 37 16 37 16 51 16 37 SP SD: 0.1086 c. M:-0.2240 c. 877: 20 63 20 46 20 46 20 63 20 46 20 63 20 46 20 63 20 46 20 46 20 63 20 46 SP SD: 0.0772 c. M:-0.1517 c. 971: 22 70 22 51 22 51 22 70 22 51 22 70 22 51 22 70 22 51 22 51 22 70 22 51 SP SD: 0.0508 c. M: 0.0809 c. 1277: 29 92 29 67 29 67 29 92 29 67 29 92 29 67 29 92 29 67 29 67 29 92 29 67 SP SD: 0.0113 c. M:-0.0217 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 0.0000 cents 3 .. 6 match: 3 H SD: 7.1688 cents 4 .. 8 match: 4 H SD: 8.6813 cents 5 .. 10 match: 5 H SD: 6.0788 cents 6 .. 12 match: 6 H SD: 7.2309 cents 7 .. 14 match: 7 H SD: 7.2584 cents 8 .. 16 match: 8 H SD: 6.0602 cents 9 .. 18 match: 9 H SD: 6.0427 cents 10 .. 20 match: 10 H SD: 4.5096 cents 11 .. 22 match: 11 H SD: 3.5578 cents 12 .. 24 match: 12 H SD: 5.0609 cents 13 .. 26 match: 12 SD: 5.9343 cents 14 .. 28 match: 13 SD: 3.1964 cents 15 .. 30 match: 15 H SD: 3.9374 cents 16 .. 32 match: 15 S SD: 3.8867 cents 17 .. 34 match: 16 S SD: 3.5555 cents 18 .. 36 match: 16 SD: 3.9465 cents 19 .. 38 match: 17 SD: 3.9959 cents 20 .. 40 match: 17 S SD: 3.9294 cents 21 .. 42 match: 16 SD: 3.2720 cents 22 .. 44 match: 19 S SD: 3.2834 cents 23 .. 46 match: 15 SD: 3.2174 cents 24 .. 48 match: 18 SD: 3.2473 cents 25 .. 50 match: 19 SD: 3.2944 cents 26 .. 52 match: 19 SD: 3.1866 cents 27 .. 54 match: 21 SD: 3.0422 cents 28 .. 56 match: 22 SD: 2.7044 cents 29 .. 58 match: 18 SD: 2.8101 cents 30 .. 60 match: 20 SD: 2.6862 cents 31 .. 62 match: 20 SD: 2.3306 cents 32 .. 64 match: 21 SD: 2.3749 cents 33 .. 66 match: 22 SD: 2.2334 cents 34 .. 68 match: 24 SD: 2.2029 cents 35 .. 70 match: 22 SD: 2.2578 cents 36 .. 72 match: 21 SD: 2.0651 cents 37 .. 74 match: 21 SD: 2.3049 cents 38 .. 76 match: 21 SD: 1.5899 cents 39 .. 78 match: 21 SD: 2.0855 cents 40 .. 80 match: 22 SD: 1.7149 cents 41 .. 82 match: 21 SD: 1.8565 cents 42 .. 84 match: 24 SD: 1.4496 cents 44 .. 88 match: 23 SD: 1.7562 cents 45 .. 90 match: 23 SD: 1.3469 cents 46 .. 92 match: 23 SD: 1.5867 cents 48 .. 96 match: 24 SD: 1.1359 cents 52 .. 104 match: 22 SD: 1.5077 cents 53 .. 106 match: 23 SD: 1.4601 cents 54 .. 108 match: 24 SD: 1.2899 cents 56 .. 112 match: 24 SD: 1.0870 cents 63 .. 126 match: 24 SD: 1.0191 cents 70 .. 140 match: 24 SD: 0.8147 cents 87 .. 174 match: 24 SD: 0.7952 cents 90 .. 180 match: 24 SD: 0.7477 cents 98 .. 196 match: 24 SD: 0.6897 cents 102 .. 204 match: 24 SD: 0.6666 cents 105 .. 210 match: 24 SD: 0.6475 cents 108 .. 216 match: 24 SD: 0.6181 cents 112 .. 224 match: 24 SD: 0.6178 cents 113 .. 226 match: 24 SD: 0.5694 cents 118 .. 236 match: 24 SD: 0.4183 cents 161 .. 322 match: 24 SD: 0.4046 cents 166 .. 332 match: 24 SD: 0.3726 cents 176 .. 352 match: 24 SD: 0.3573 cents 177 .. 354 match: 24 SD: 0.3500 cents 189 .. 378 match: 24 SD: 0.3193 cents 206 .. 412 match: 24 SD: 0.3046 cents 210 .. 420 match: 24 SD: 0.2787 cents 231 .. 462 match: 24 SD: 0.2785 cents 234 .. 468 match: 24 SD: 0.2730 cents 237 .. 474 match: 24 SD: 0.2624 cents 238 .. 476 match: 24 SD: 0.2471 cents 248 .. 496 match: 24 SD: 0.2363 cents 266 .. 532 match: 24 SD: 0.2305 cents 279 .. 558 match: 24 SD: 0.2279 cents 294 .. 588 match: 24 SD: 0.1825 cents 366 .. 732 match: 24 SD: 0.1801 cents 368 .. 736 match: 24 SD: 0.1688 cents 378 .. 756 match: 24 SD: 0.1343 cents 426 .. 852 match: 24 SD: 0.1300 cents 432 .. 864 match: 24 SD: 0.1279 cents 448 .. 896 match: 24 SD: 0.1241 cents 486 .. 972 match: 24 SD: 0.1208 cents 504 .. 1008 match: 24 SD: 0.1007 cents