Scala analysis: xen18-keenan-just-blackjack
7-limit just-ification of Blackjack
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 21/20 84.467193 minor semitone 2: 15/14 119.442808 major diatonic semitone 3: 9/8 203.910002 major whole tone 4: 8/7 231.174094 septimal whole tone 5: 6/5 315.641287 minor third 6: 128/105 342.905379 septimal neutral third 7: 5/4 386.313714 major third 8: 21/16 470.780907 narrow fourth 9: 4/3 498.044999 perfect fourth 10: 7/5 582.512193 septimal or Huygens' tritone, BP fourth 11: 10/7 617.487807 Euler's tritone 12: 3/2 701.955001 perfect fifth 13: 32/21 729.219093 wide fifth 14: 8/5 813.686286 minor sixth 15: 105/64 857.094621 septimal neutral sixth 16: 12/7 933.129094 septimal major sixth 17: 7/4 968.825906 harmonic seventh 18: 64/35 1044.860380 septimal neutral seventh 19: 15/8 1088.268715 classic major seventh 20: 63/32 1172.735908 octave - septimal comma 21: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 64/63 27.2641 septimal comma, Archytas' comma 1: 21/20 84.4672 minor semitone 2: 50/49 34.9756 Erlich's decatonic comma, tritonic diesis 3: 21/20 84.4672 minor semitone 4: 64/63 27.2641 septimal comma, Archytas' comma 5: 21/20 84.4672 minor semitone 6: 64/63 27.2641 septimal comma, Archytas' comma 7: 525/512 43.4083 Avicenna enharmonic diesis 8: 21/20 84.4672 minor semitone 9: 64/63 27.2641 septimal comma, Archytas' comma 10: 21/20 84.4672 minor semitone 11: 50/49 34.9756 Erlich's decatonic comma, tritonic diesis 12: 21/20 84.4672 minor semitone 13: 64/63 27.2641 septimal comma, Archytas' comma 14: 21/20 84.4672 minor semitone 15: 525/512 43.4083 Avicenna enharmonic diesis 16: 256/245 76.0345 septimal minor semitone 17: 49/48 35.6968 slendro diesis, septimal 1/6-tone 18: 256/245 76.0345 septimal minor semitone 19: 525/512 43.4083 Avicenna enharmonic diesis 20: 21/20 84.4672 minor semitone 21: 64/63 27.2641 septimal comma, Archytas' comma
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 5 64/63 27.264 cents septimal comma, Archytas' comma 1: 2 50/49 34.976 cents Erlich's decatonic comma, tritonic diesis 1: 1 49/48 35.697 cents slendro diesis, septimal 1/6-tone 1: 3 525/512 43.408 cents Avicenna enharmonic diesis 1: 2 256/245 76.034 cents septimal minor semitone 1: 8 21/20 84.467 cents minor semitone 2: 1 25/24 70.672 cents classic chromatic semitone, minor chroma 2: 11 16/15 111.731 cents minor diatonic semitone 2: 6 15/14 119.443 cents major diatonic semitone 2: 3 2205/2048 127.876 cents 3: 1 1024/945 138.995 cents 3: 4 160/147 146.707 cents 3: 7 35/32 155.140 cents septimal neutral second 3: 1 4096/3675 187.766 cents 3: 4 28/25 196.198 cents middle second 3: 4 9/8 203.910 cents major whole tone 4: 2 10/9 182.404 cents minor whole tone 4: 1 256/225 223.463 cents Neapolitan diminished third 4: 12 8/7 231.174 cents septimal whole tone 4: 6 147/128 239.607 cents 5: 3 512/441 258.438 cents 5: 6 7/6 266.871 cents septimal minor third 5: 4 75/64 274.582 cents classic augmented second 5: 8 6/5 315.641 cents minor third 6: 1 32/27 294.135 cents Pythagorean minor third 6: 2 25/21 301.847 cents BP second, quasi-equal minor third 6: 7 128/105 342.905 cents septimal neutral third 6: 2 60/49 350.617 cents smaller approximation to neutral third 6: 4 49/40 351.338 cents larger approximation to neutral third 6: 5 315/256 359.050 cents 7: 1 8192/6615 370.169 cents 7: 2 56/45 378.602 cents septimal narrow major third 7: 11 5/4 386.314 cents major third 7: 4 32/25 427.373 cents classic diminished fourth 7: 2 9/7 435.084 cents septimal major third, BP third 7: 1 1323/1024 443.517 cents 8: 4 80/63 413.578 cents wide major third 8: 1 2048/1575 454.637 cents 8: 4 64/49 462.348 cents 2 septatones or septatonic major third 8: 1 98/75 463.069 cents 8: 11 21/16 470.781 cents narrow fourth 9: 12 4/3 498.045 cents perfect fourth 9: 2 75/56 505.757 cents marvelous fourth 9: 1 11025/8192 514.189 cents 9: 4 48/35 546.815 cents septimal semi-augmented fourth 9: 2 441/320 555.248 cents 10: 2 256/189 525.309 cents 10: 1 200/147 533.021 cents 10: 2 175/128 541.453 cents 10: 3 1024/735 574.079 cents 10: 8 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 10: 5 45/32 590.224 cents diatonic tritone 11: 5 64/45 609.776 cents 2nd tritone 11: 8 10/7 617.488 cents Euler's tritone 11: 3 735/512 625.921 cents 11: 2 256/175 658.547 cents 11: 1 147/100 666.979 cents 11: 2 189/128 674.691 cents 12: 2 640/441 644.752 cents 12: 4 35/24 653.185 cents septimal semi-diminished fifth 12: 1 16384/11025 685.811 cents two (septimal neutral third) 12: 2 112/75 694.243 cents marvelous fifth 12: 12 3/2 701.955 cents perfect fifth 13: 11 32/21 729.219 cents wide fifth 13: 1 75/49 736.931 cents BP fifth 13: 4 49/32 737.652 cents 13: 1 1575/1024 745.363 cents 13: 4 63/40 786.422 cents narrow minor sixth 14: 1 2048/1323 756.483 cents 14: 2 14/9 764.916 cents septimal minor sixth 14: 4 25/16 772.627 cents classic augmented fifth 14: 11 8/5 813.686 cents minor sixth 14: 2 45/28 821.398 cents septimale wide minor sixth 14: 1 6615/4096 829.831 cents 15: 5 512/315 840.950 cents 15: 4 80/49 848.662 cents smaller approximation to neutral sixth 15: 2 49/30 849.383 cents larger approximation to neutral sixth 15: 7 105/64 857.095 cents septimal neutral sixth 15: 2 42/25 898.153 cents quasi-equal major sixth 15: 1 27/16 905.865 cents Pythagorean major sixth 16: 8 5/3 884.359 cents major sixth, BP sixth 16: 4 128/75 925.418 cents diminished seventh 16: 6 12/7 933.129 cents septimal major sixth 16: 3 441/256 941.562 cents two (narrow fourth) 17: 6 256/147 960.393 cents 17: 12 7/4 968.826 cents harmonic seventh 17: 1 225/128 976.537 cents augmented sixth 17: 2 9/5 1017.596 cents just minor seventh, BP seventh 18: 4 16/9 996.090 cents Pythagorean minor seventh 18: 4 25/14 1003.802 cents middle minor seventh 18: 1 3675/2048 1012.234 cents 18: 7 64/35 1044.860 cents septimal neutral seventh 18: 4 147/80 1053.293 cents 18: 1 945/512 1061.005 cents 19: 3 4096/2205 1072.124 cents 19: 6 28/15 1080.557 cents grave major seventh 19: 11 15/8 1088.269 cents classic major seventh 19: 1 48/25 1129.328 cents classic diminished octave 20: 8 40/21 1115.533 cents acute major seventh 20: 2 245/128 1123.966 cents 20: 3 1024/525 1156.592 cents 20: 1 96/49 1164.303 cents 20: 2 49/25 1165.024 cents BP eighth 20: 5 63/32 1172.736 cents octave - septimal comma Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 5.20000 = 26/5
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 0.0 : 84.5 119.4 203.9 231.2 315.6 342.9 386.3 470.8 498.0 582.5 617.5 702.0 729.2 813.7 857.1 933.1 968.8 1044.9 1088.3 1172.7 1200.0 84.5 : 35.0 119.4 146.7 231.2 258.4 301.8 386.3 413.6 498.0 533.0 617.5 644.8 729.2 772.6 848.7 884.4 960.4 1003.8 1088.3 1115.5 1200.0 119.4 : 84.5 111.7 196.2 223.5 266.9 351.3 378.6 463.1 498.0 582.5 609.8 694.2 737.7 813.7 849.4 925.4 968.8 1053.3 1080.6 1165.0 1200.0 203.9 : 27.3 111.7 139.0 182.4 266.9 294.1 378.6 413.6 498.0 525.3 609.8 653.2 729.2 764.9 841.0 884.4 968.8 996.1 1080.6 1115.5 1200.0 231.2 : 84.5 111.7 155.1 239.6 266.9 351.3 386.3 470.8 498.0 582.5 625.9 702.0 737.7 813.7 857.1 941.6 968.8 1053.3 1088.3 1172.7 1200.0 315.6 : 27.3 70.7 155.1 182.4 266.9 301.8 386.3 413.6 498.0 541.5 617.5 653.2 729.2 772.6 857.1 884.4 968.8 1003.8 1088.3 1115.5 1200.0 342.9 : 43.4 127.9 155.1 239.6 274.6 359.0 386.3 470.8 514.2 590.2 625.9 702.0 745.4 829.8 857.1 941.6 976.5 1061.0 1088.3 1172.7 1200.0 386.3 : 84.5 111.7 196.2 231.2 315.6 342.9 427.4 470.8 546.8 582.5 658.5 702.0 786.4 813.7 898.2 933.1 1017.6 1044.9 1129.3 1156.6 1200.0 470.8 : 27.3 111.7 146.7 231.2 258.4 342.9 386.3 462.3 498.0 574.1 617.5 702.0 729.2 813.7 848.7 933.1 960.4 1044.9 1072.1 1115.5 1200.0 498.0 : 84.5 119.4 203.9 231.2 315.6 359.0 435.1 470.8 546.8 590.2 674.7 702.0 786.4 821.4 905.9 933.1 1017.6 1044.9 1088.3 1172.7 1200.0 582.5 : 35.0 119.4 146.7 231.2 274.6 350.6 386.3 462.3 505.8 590.2 617.5 702.0 736.9 821.4 848.7 933.1 960.4 1003.8 1088.3 1115.5 1200.0 617.5 : 84.5 111.7 196.2 239.6 315.6 351.3 427.4 470.8 555.2 582.5 667.0 702.0 786.4 813.7 898.2 925.4 968.8 1053.3 1080.6 1165.0 1200.0 702.0 : 27.3 111.7 155.1 231.2 266.9 342.9 386.3 470.8 498.0 582.5 617.5 702.0 729.2 813.7 841.0 884.4 968.8 996.1 1080.6 1115.5 1200.0 729.2 : 84.5 127.9 203.9 239.6 315.6 359.0 443.5 470.8 555.2 590.2 674.7 702.0 786.4 813.7 857.1 941.6 968.8 1053.3 1088.3 1172.7 1200.0 813.7 : 43.4 119.4 155.1 231.2 274.6 359.0 386.3 470.8 505.8 590.2 617.5 702.0 729.2 772.6 857.1 884.4 968.8 1003.8 1088.3 1115.5 1200.0 857.1 : 76.0 111.7 187.8 231.2 315.6 342.9 427.4 462.3 546.8 574.1 658.5 685.8 729.2 813.7 841.0 925.4 960.4 1044.9 1072.1 1156.6 1200.0 933.1 : 35.7 111.7 155.1 239.6 266.9 351.3 386.3 470.8 498.0 582.5 609.8 653.2 737.7 764.9 849.4 884.4 968.8 996.1 1080.6 1124.0 1200.0 968.8 : 76.0 119.4 203.9 231.2 315.6 350.6 435.1 462.3 546.8 574.1 617.5 702.0 729.2 813.7 848.7 933.1 960.4 1044.9 1088.3 1164.3 1200.0 1044.9: 43.4 127.9 155.1 239.6 274.6 359.0 386.3 470.8 498.0 541.5 625.9 653.2 737.7 772.6 857.1 884.4 968.8 1012.2 1088.3 1124.0 1200.0 1088.3: 84.5 111.7 196.2 231.2 315.6 342.9 427.4 454.6 498.0 582.5 609.8 694.2 729.2 813.7 841.0 925.4 968.8 1044.9 1080.6 1156.6 1200.0 1172.7: 27.3 111.7 146.7 231.2 258.4 342.9 370.2 413.6 498.0 525.3 609.8 644.8 729.2 756.5 841.0 884.4 960.4 996.1 1072.1 1115.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 27.2641 .. 84.4672 cents 1323/1280, 57.2031 cents 64/63, 27.2641 cents 2: 70.6724 .. 127.8755 cents 1323/1280, 57.2031 cents 125/126,-13.7948 cents 3: 138.9954 .. 203.9100 cents 8505/8192, 64.9146 cents 2097152/2083725, 11.1198 cents 4: 182.4037 .. 239.6068 cents 1323/1280, 57.2031 cents 80/81,-21.5063 cents 5: 258.4382 .. 315.6413 cents 1323/1280, 57.2031 cents 65536/64827, 18.8314 cents 6: 294.1350 .. 359.0496 cents 8505/8192, 64.9146 cents 80/81,-21.5063 cents 7: 370.1695 .. 443.5168 cents 8751645/8388608, 73.3473 cents 2097152/2083725, 11.1198 cents 8: 413.5778 .. 470.7809 cents 1323/1280, 57.2031 cents 81920/83349,-29.9390 cents 9: 498.0450 .. 555.2481 cents 1323/1280, 57.2031 cents 64/63, 27.2641 cents 10: 525.3091 .. 590.2237 cents 8505/8192, 64.9146 cents 81920/83349,-29.9390 cents 11: 609.7763 .. 674.6909 cents 8505/8192, 64.9146 cents 2048/2025, 19.5526 cents 12: 644.7519 .. 701.9550 cents 1323/1280, 57.2031 cents 81920/83349,-29.9390 cents 13: 729.2191 .. 786.4222 cents 1323/1280, 57.2031 cents 64/63, 27.2641 cents 14: 756.4832 .. 829.8305 cents 8751645/8388608, 73.3473 cents 81920/83349,-29.9390 cents 15: 840.9504 .. 905.8650 cents 8505/8192, 64.9146 cents 2097152/2083725, 11.1198 cents 16: 884.3587 .. 941.5618 cents 1323/1280, 57.2031 cents 80/81,-21.5063 cents 17: 960.3932 .. 1017.5963 cents 1323/1280, 57.2031 cents 65536/64827, 18.8314 cents 18: 996.0900 .. 1061.0046 cents 8505/8192, 64.9146 cents 80/81,-21.5063 cents 19: 1072.1245 .. 1129.3276 cents 1323/1280, 57.2031 cents 2097152/2083725, 11.1198 cents 20: 1115.5328 .. 1172.7359 cents 1323/1280, 57.2031 cents 125/126,-13.7948 cents
SHOW DATA
Number of notes : 21 -- Interval properties -- Smallest interval : 64/63, 27.2641 cents, class 1 Average step (divided formal octave): 57.1429 cents Largest one step interval : 21/20, 84.4672 cents Average / Smallest step : 2.095902 Largest / Average step : 1.478176 Largest / Smallest step : 3.098111 Median interval of one step : 525/512, 43.4083 cents, amount: 3 Most common interval of one step : 21/20, 84.4672 cents, amount: 8 Least squares average step : 57.61296 cents, oct.: 1209.87213 cents Scale is not proper Step pattern alph. order: ABACACDACABACADEFEDAC Step pattern size order : FBFAFADFAFBFAFDECEDFA Scale is a Constant Structure, by a margin of 5.36205 cents Scale diversity : 1.414862 Lumma stability : 0.175626 Lumma impropriety factor : 0.194476 Number of different interval sizes : 104 = 5.20000 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 5.20000 = 26/5 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 2401/2400, 0.7212 cents Most common triad is 0.0 498.045 968.826 cents, amount: 9 Number of recognisable fifths : 15, average 699.8505 cents Number of appreciable fifths : 14, average 700.8534 cents Scale contains a complete diamond : 1 3 21 Length of longest harmonic part : 1 at degree 0 Length of longest subharmonic part : 1 at degree 0 Formal octave complements present : 13 = 61.9048% Scale is n-1 differentially coherent in interval classes 2 and 3 combined -- Rational properties -- Prime limit : 7 Odd number limit : 11025 (O: 11025 U: 11025) Highest odd numerator or denominator: 105 Scale harmonicity : 0.018392 Average absolute harmonicity : 0.130252 Specific harmonicity : 0.102444 Fundamental : 1/6720, -12.7142 octaves, 0.0389 Hz. Guide tone : 40320, 15.2992 octaves, 10548742.793 Hz. Exponens Consonantiae : 2.709504E+08, 28.01345 octaves Euler's gradus suavitatis : 40 Sum of Mann's harmonic distance : 459.0, average 21.85714 Mersenne's string divisions : too high to compute Sum of van Prooijen's expressibility: 21.93551, average 1.04455 Sum of Tenney's harmonic distance : 43.89356, average 2.09017 Vogel's harmonic complexity : 21.80952 Wille's k value : 5512 Wilson's harmonic complexity : 33 Rectangular lattice diameter : 7 Triangular lattice diameter : 6 Lattice compactness : 1045.16575, average 4.52453 Lattice compactness (without 2's) : 421.43400, average 1.82439 Number of different primes : 4 Prime exponents' range, average, count, tones@limit: 2: -6 .. 7 0.09524 60 1 3: -1 .. 2 0.42857 15 3 5: -1 .. 1 -0.04762 11 4 7: -1 .. 1 -0.04762 13 13 Average exponent except 2's : 7 / 21 = 0.33333 Average absolute exponent except 2's: 39 / 21 = 1.85714 Scale is JI-epimorphic with val: <21 33 49 59| = patent
FIT/MODE
21: 1 1 2 0 2 0 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 N T3 SD: 15.4700 c. M: 27.3243 c. 22: 2 0 2 0 2 0 1 2 0 2 0 2 0 2 1 1 1 1 1 2 0 N SD: 14.3092 c. M:-27.2641 c. 23: 2 0 2 0 2 1 0 2 1 1 1 1 1 2 0 2 1 1 1 1 1 N D3 SD: 16.2359 c. M: 24.9098 c. 24: 2 0 2 1 1 1 1 1 1 2 0 2 1 1 1 2 0 2 1 1 1 N D3 S SD: 14.6579 c. M: 22.7359 c. 25: 2 0 2 1 2 0 1 2 0 2 1 2 0 2 1 1 1 2 1 1 1 N D3 SD: 13.1923 c. M: 23.4428 c. 28: 2 1 2 0 2 1 1 2 0 2 1 2 1 2 1 2 0 2 1 2 1 N S SD: 14.1534 c. M: 26.6164 c. 29: 2 1 2 1 2 0 1 2 1 2 1 2 1 2 1 2 0 2 1 2 1 N T3 SD: 11.6351 c. M:-18.5950 c. 31: 2 1 2 1 2 1 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 P M ME S SD: 5.2264 c. M: 11.4456 c. 41: 3 1 3 1 3 1 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 N M DE S SD: 4.5374 c. M:-8.7982 c. 53: 4 1 4 1 4 1 2 4 1 4 1 4 1 4 2 3 2 3 2 4 1 N SD: 3.9452 c. M: 6.2353 c. 72: 5 2 5 2 5 2 2 5 2 5 2 5 2 5 2 5 2 5 2 5 2 N M DE S SD: 3.6748 c. M: 7.0946 c. 77: 5 3 5 2 5 2 3 5 2 5 3 5 2 5 3 5 2 5 3 5 2 N SD: 3.3844 c. M: 6.5451 c. 84: 6 2 6 2 6 2 3 6 2 6 2 6 2 6 3 5 3 5 3 6 2 N SD: 2.4059 c. M: 5.1571 c. 87: 6 3 6 2 6 2 3 6 2 6 3 6 2 6 3 6 2 6 3 6 2 N SD: 2.5266 c. M:-4.8019 c. 99: 7 3 7 2 7 2 4 7 2 7 3 7 2 7 4 6 3 6 4 7 2 N SD: 1.8536 c. M: 3.5114 c. 118: 8 4 8 3 8 3 4 8 3 8 4 8 3 8 4 8 3 8 4 8 3 N SD: 2.2423 c. M: 3.2444 c. 125: 9 3 9 3 9 3 4 9 3 9 3 9 3 9 4 8 4 8 4 9 3 N SD: 2.1531 c. M: 4.2428 c. 130: 9 4 9 3 9 3 5 9 3 9 4 9 3 9 5 8 4 8 5 9 3 N SD: 1.0055 c. M: 1.7951 c. 140: 10 4 10 3 10 3 5 10 3 10 4 10 3 10 5 9 4 9 5 10 3 N SD: 0.8590 c. M:-1.8043 c. 171: 12 5 12 4 12 4 6 12 4 12 5 12 4 12 6 11 5 11 6 12 4 N SD: 0.4901 c. M: 0.9543 c. 270: 19 8 19 6 19 6 10 19 6 19 8 19 6 19 10 17 8 17 10 19 6 N SD: 0.3952 c. M: 0.6832 c. 301: 21 9 21 7 21 7 11 21 7 21 9 21 7 21 11 19 9 19 11 21 7 N SD: 0.3876 c. M: 0.7463 c. 441: 31 13 31 10 31 10 16 31 10 31 13 31 10 31 16 28 13 28 16 31 10 N SD: 0.1271 c. M:-0.2851 c. 612: 43 18 43 14 43 14 22 43 14 43 18 43 14 43 22 39 18 39 22 43 14 N SD: 0.1545 c. M:-0.2377 c. 966: 68 28 68 22 68 22 35 68 22 68 28 68 22 68 35 61 29 61 35 68 22 N SD: 0.1035 c. M: 0.2098 c. 1106: 78 32 78 25 78 25 40 78 25 78 32 78 25 78 40 70 33 70 40 78 25 N SD: 0.0839 c. M:-0.1621 c. 1277: 90 37 90 29 90 29 46 90 29 90 37 90 29 90 46 81 38 81 46 90 29 N SD: 0.0700 c. M:-0.1060 c. 1407: 99 41 99 32 99 32 51 99 32 99 41 99 32 99 51 89 42 89 51 99 32 N SD: 0.0450 c. M: 0.0843 c. 1718: 121 50 121 39 121 39 62 121 39 121 50 121 39 121 62 109 51 109 62 121 39 N SD: 0.0402 c. M:-0.0756 c. 1848: 130 54 130 42 130 42 67 130 42 130 54 130 42 130 67 117 55 117 67 130 42 N SD: 0.0355 c. M: 0.0569 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: 9.0880 cents 4 .. 8 match: 4 H SD: 0.0000 cents 5 .. 10 match: 5 H SD: 5.4528 cents 6 .. 12 match: 6 H SD: 7.5238 cents 7 .. 14 match: 7 H SD: 7.1739 cents 8 .. 16 match: 8 H SD: 4.4151 cents 9 .. 18 match: 9 H SD: 6.8249 cents 10 .. 20 match: 10 H SD: 5.7159 cents 11 .. 22 match: 11 H SD: 7.6001 cents 12 .. 24 match: 12 H SD: 5.5215 cents 13 .. 26 match: 12 S SD: 5.4481 cents 14 .. 28 match: 13 S SD: 5.2935 cents 15 .. 30 match: 13 SD: 3.9863 cents 16 .. 32 match: 14 S SD: 3.8328 cents 17 .. 34 match: 16 S SD: 4.2277 cents 18 .. 36 match: 17 SD: 4.6261 cents 19 .. 38 match: 15 SD: 4.0516 cents 20 .. 40 match: 17 SD: 3.2390 cents 21 .. 42 match: 16 SD: 3.8831 cents 22 .. 44 match: 18 SD: 3.8747 cents 23 .. 46 match: 18 SD: 2.7992 cents 24 .. 48 match: 17 SD: 2.6702 cents 25 .. 50 match: 18 SD: 2.4947 cents 27 .. 54 match: 20 SD: 2.8987 cents 28 .. 56 match: 18 SD: 2.0800 cents 29 .. 58 match: 17 SD: 2.8410 cents 30 .. 60 match: 19 SD: 2.4693 cents 31 .. 62 match: 17 SD: 2.2853 cents 32 .. 64 match: 20 SD: 2.1876 cents 33 .. 66 match: 18 SD: 2.1185 cents 34 .. 68 match: 18 SD: 2.5266 cents 35 .. 70 match: 20 SD: 2.1260 cents 36 .. 72 match: 20 SD: 1.9229 cents 37 .. 74 match: 18 SD: 2.2092 cents 38 .. 76 match: 19 SD: 2.0620 cents 39 .. 78 match: 20 SD: 1.9327 cents 40 .. 80 match: 20 SD: 1.2393 cents 41 .. 82 match: 20 SD: 1.6585 cents 42 .. 84 match: 21 SD: 1.4430 cents 43 .. 86 match: 20 SD: 2.0594 cents 44 .. 88 match: 20 SD: 1.6822 cents 45 .. 90 match: 20 SD: 1.5365 cents 52 .. 104 match: 20 SD: 1.6003 cents 54 .. 108 match: 21 SD: 1.4339 cents 55 .. 110 match: 21 SD: 1.1389 cents 56 .. 112 match: 21 SD: 1.1219 cents 63 .. 126 match: 21 SD: 1.1061 cents 64 .. 128 match: 21 SD: 1.0475 cents 70 .. 140 match: 21 SD: 1.0167 cents 72 .. 144 match: 21 SD: 0.9693 cents 80 .. 160 match: 21 SD: 0.7911 cents 95 .. 190 match: 21 SD: 0.7108 cents 96 .. 192 match: 21 SD: 0.6377 cents 105 .. 210 match: 21 SD: 0.5709 cents 120 .. 240 match: 21 SD: 0.5225 cents 128 .. 256 match: 21 SD: 0.4603 cents 140 .. 280 match: 21 SD: 0.4413 cents 160 .. 320 match: 21 SD: 0.3719 cents 168 .. 336 match: 21 SD: 0.3620 cents 183 .. 366 match: 21 SD: 0.3517 cents 192 .. 384 match: 21 SD: 0.3420 cents 195 .. 390 match: 21 SD: 0.3388 cents 200 .. 400 match: 21 SD: 0.3087 cents 223 .. 446 match: 21 SD: 0.3019 cents 224 .. 448 match: 21 SD: 0.2502 cents 240 .. 480 match: 21 SD: 0.2187 cents 280 .. 560 match: 21 SD: 0.1859 cents 320 .. 640 match: 21 SD: 0.1387 cents 420 .. 840 match: 21 SD: 0.1093 cents 520 .. 1040 match: 21 SD: 0.1072 cents 560 .. 1120 match: 21 SD: 0.0769 cents