Scala analysis: xen12-wilson-41-hexadic-tileburst-3
Four Hexadic Tilebursts, Figure 41, bottom left
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 11/10 165.004228 Ptolemy's second, 4/5-tone 2: 10/9 182.403712 minor whole tone 3: 7/6 266.870906 septimal minor third 4: 6/5 315.641287 minor third 5: 14/11 417.507964 undecimal diminished fourth or major third 6: 4/3 498.044999 perfect fourth 7: 10/7 617.487807 Euler's tritone 8: 3/2 701.955001 perfect fifth 9: 14/9 764.915905 septimal minor sixth 10: 11/7 782.492036 undecimal augmented fifth 11: 18/11 852.592059 undecimal neutral sixth 12: 12/7 933.129094 septimal major sixth 13: 9/5 1017.596288 just minor seventh, BP seventh 14: 20/11 1034.995772 large minor seventh 15: 11/6 1049.362941 undecimal neutral seventh, 21/4-tone 16: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 12/11 150.6371 undecimal neutral second, 3/4-tone 1: 11/10 165.0042 Ptolemy's second, 4/5-tone 2: 100/99 17.3995 Ptolemy's comma 3: 21/20 84.4672 minor semitone 4: 36/35 48.7704 septimal diesis, 1/4-tone 5: 35/33 101.8667 6: 22/21 80.5370 undecimal minor semitone 7: 15/14 119.4428 major diatonic semitone 8: 21/20 84.4672 minor semitone 9: 28/27 62.9609 Archytas' 1/3-tone 10: 99/98 17.5761 small undecimal comma 11: 126/121 70.1000 12: 22/21 80.5370 undecimal minor semitone 13: 21/20 84.4672 minor semitone 14: 100/99 17.3995 Ptolemy's comma 15: 121/120 14.3672 undecimal seconds comma, biyatisma 16: 12/11 150.6371 undecimal neutral second, 3/4-tone
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 121/120 14.367 cents undecimal seconds comma, biyatisma 1: 2 100/99 17.399 cents Ptolemy's comma 1: 1 99/98 17.576 cents small undecimal comma 1: 1 36/35 48.770 cents septimal diesis, 1/4-tone 1: 1 28/27 62.961 cents Archytas' 1/3-tone 1: 1 126/121 70.100 cents 1: 2 22/21 80.537 cents undecimal minor semitone 1: 3 21/20 84.467 cents minor semitone 1: 1 35/33 101.867 cents 1: 1 15/14 119.443 cents major diatonic semitone 1: 1 12/11 150.637 cents undecimal neutral second, 3/4-tone 1: 1 11/10 165.004 cents Ptolemy's second, 4/5-tone 2: 1 55/54 31.767 cents telepathma 2: 1 22/21 80.537 cents undecimal minor semitone 2: 1 81/77 87.676 cents 2: 2 35/33 101.867 cents 2: 1 27/25 133.238 cents large limma, BP small semitone, Zarlino semitone 2: 1 49/45 147.428 cents BP minor semitone 2: 2 12/11 150.637 cents undecimal neutral second, 3/4-tone 2: 2 11/10 165.004 cents Ptolemy's second, 4/5-tone 2: 2 10/9 182.404 cents minor whole tone 2: 1 55/49 199.980 cents quasi-equal major second 2: 1 9/8 203.910 cents major whole tone 2: 1 6/5 315.641 cents minor third 3: 1 77/72 116.234 cents undecimal secor 3: 2 12/11 150.637 cents undecimal neutral second, 3/4-tone 3: 1 11/10 165.004 cents Ptolemy's second, 4/5-tone 3: 1 54/49 168.213 cents Zalzal's mujannab 3: 2 10/9 182.404 cents minor whole tone 3: 1 8/7 231.174 cents septimal whole tone 3: 2 63/55 235.104 cents 3: 2 7/6 266.871 cents septimal minor third 3: 1 33/28 284.447 cents undecimal minor third 3: 1 25/21 301.847 cents BP second, quasi-equal minor third 3: 1 121/100 330.008 cents two (Ptolemy's second, 4/5-tone) 3: 1 40/33 333.041 cents 4: 1 121/108 196.771 cents 4: 1 8/7 231.174 cents septimal whole tone 4: 1 63/55 235.104 cents 4: 2 140/121 252.504 cents 4: 1 81/70 252.680 cents Al-Hwarizmi's lute middle finger 4: 1 7/6 266.871 cents septimal minor third 4: 1 33/28 284.447 cents undecimal minor third 4: 2 6/5 315.641 cents minor third 4: 3 11/9 347.408 cents undecimal neutral third 4: 1 60/49 350.617 cents smaller approximation to neutral third 4: 1 5/4 386.314 cents major third 4: 1 14/11 417.508 cents undecimal diminished fourth or major third 5: 1 7/6 266.871 cents septimal minor third 5: 1 90/77 270.080 cents 5: 2 6/5 315.641 cents minor third 5: 1 40/33 333.041 cents 5: 1 11/9 347.408 cents undecimal neutral third 5: 1 27/22 354.547 cents neutral third, Zalzal wosta of al-Farabi 5: 1 100/81 364.807 cents grave major third 5: 1 121/98 364.984 cents 5: 1 14/11 417.508 cents undecimal diminished fourth or major third 5: 2 77/60 431.875 cents 5: 2 9/7 435.084 cents septimal major third, BP third 5: 1 35/27 449.275 cents septimal semi-diminished fourth, 9/4-tone 5: 1 72/55 466.278 cents undecimal semi-diminished fourth 6: 1 33/28 284.447 cents undecimal minor third 6: 1 40/33 333.041 cents 6: 1 63/50 400.108 cents quasi-equal major third 6: 1 14/11 417.508 cents undecimal diminished fourth or major third 6: 2 9/7 435.084 cents septimal major third, BP third 6: 2 35/27 449.275 cents septimal semi-diminished fourth, 9/4-tone 6: 1 100/77 452.484 cents 6: 1 55/42 466.851 cents 6: 1 33/25 480.646 cents 2 pentatones 6: 2 4/3 498.045 cents perfect fourth 6: 1 121/90 512.412 cents 6: 1 27/20 519.551 cents acute fourth 6: 1 168/121 568.145 cents 7: 1 11/9 347.408 cents undecimal neutral third 7: 1 14/11 417.508 cents undecimal diminished fourth or major third 7: 1 9/7 435.084 cents septimal major third, BP third 7: 1 4/3 498.045 cents perfect fourth 7: 2 66/49 515.621 cents 7: 1 27/20 519.551 cents acute fourth 7: 1 110/81 529.812 cents 7: 1 49/36 533.742 cents Arabic lute acute fourth 7: 2 15/11 536.951 cents undecimal augmented fourth 7: 3 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 7: 1 10/7 617.488 cents Euler's tritone 7: 1 16/11 648.682 cents undecimal semi-diminished fifth 8: 1 77/60 431.875 cents 8: 1 4/3 498.045 cents perfect fourth 8: 1 15/11 536.951 cents undecimal augmented fourth 8: 1 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 8: 1 108/77 585.721 cents 8: 3 140/99 599.912 cents quasi-equal tritone 8: 3 99/70 600.088 cents 2nd quasi-equal tritone 8: 1 77/54 614.279 cents 8: 1 10/7 617.488 cents Euler's tritone 8: 1 22/15 663.049 cents undecimal diminished fifth 8: 1 3/2 701.955 cents perfect fifth 8: 1 120/77 768.125 cents 9: 1 11/8 551.318 cents undecimal semi-augmented fourth 9: 1 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 9: 3 10/7 617.488 cents Euler's tritone 9: 2 22/15 663.049 cents undecimal diminished fifth 9: 1 72/49 666.258 cents Arabic lute grave fifth 9: 1 81/55 670.188 cents 9: 1 40/27 680.449 cents grave fifth 9: 2 49/33 684.379 cents 9: 1 3/2 701.955 cents perfect fifth 9: 1 14/9 764.916 cents septimal minor sixth 9: 1 11/7 782.492 cents undecimal augmented fifth 9: 1 18/11 852.592 cents undecimal neutral sixth 10: 1 121/84 631.855 cents 10: 1 40/27 680.449 cents grave fifth 10: 1 180/121 687.588 cents 10: 2 3/2 701.955 cents perfect fifth 10: 1 50/33 719.354 cents 3 pentatones 10: 1 84/55 733.149 cents 10: 1 77/50 747.516 cents 10: 2 54/35 750.725 cents septimal semi-augmented fifth 10: 2 14/9 764.916 cents septimal minor sixth 10: 1 11/7 782.492 cents undecimal augmented fifth 10: 1 100/63 799.892 cents quasi-equal minor sixth 10: 1 33/20 866.959 cents 10: 1 56/33 915.553 cents 11: 1 55/36 733.722 cents undecimal semi-augmented fifth 11: 1 54/35 750.725 cents septimal semi-augmented fifth 11: 2 14/9 764.916 cents septimal minor sixth 11: 2 120/77 768.125 cents 11: 1 11/7 782.492 cents undecimal augmented fifth 11: 1 196/121 835.016 cents two (undecimal diminished fourth or major third) 11: 1 81/50 835.193 cents acute minor sixth 11: 1 44/27 845.453 cents neutral sixth 11: 1 18/11 852.592 cents undecimal neutral sixth 11: 1 33/20 866.959 cents 11: 2 5/3 884.359 cents major sixth, BP sixth 11: 1 77/45 929.920 cents 11: 1 12/7 933.129 cents septimal major sixth 12: 1 11/7 782.492 cents undecimal augmented fifth 12: 1 8/5 813.686 cents minor sixth 12: 1 49/30 849.383 cents larger approximation to neutral sixth 12: 3 18/11 852.592 cents undecimal neutral sixth 12: 2 5/3 884.359 cents major sixth, BP sixth 12: 1 56/33 915.553 cents 12: 1 12/7 933.129 cents septimal major sixth 12: 1 140/81 947.320 cents 12: 2 121/70 947.496 cents 12: 1 110/63 964.896 cents 12: 1 7/4 968.826 cents harmonic seventh 12: 1 216/121 1003.229 cents 13: 1 33/20 866.959 cents 13: 1 200/121 869.992 cents 13: 1 42/25 898.153 cents quasi-equal major sixth 13: 1 56/33 915.553 cents 13: 2 12/7 933.129 cents septimal major sixth 13: 2 110/63 964.896 cents 13: 1 7/4 968.826 cents harmonic seventh 13: 2 9/5 1017.596 cents just minor seventh, BP seventh 13: 1 49/27 1031.787 cents 13: 1 20/11 1034.996 cents large minor seventh 13: 2 11/6 1049.363 cents undecimal neutral seventh, 21/4-tone 13: 1 144/77 1083.766 cents 14: 1 5/3 884.359 cents major sixth, BP sixth 14: 1 16/9 996.090 cents Pythagorean minor seventh 14: 1 98/55 1000.020 cents quasi-equal minor seventh 14: 2 9/5 1017.596 cents just minor seventh, BP seventh 14: 2 20/11 1034.996 cents large minor seventh 14: 2 11/6 1049.363 cents undecimal neutral seventh, 21/4-tone 14: 1 90/49 1052.572 cents 14: 1 50/27 1066.762 cents grave major seventh 14: 2 66/35 1098.133 cents 14: 1 154/81 1112.324 cents 14: 1 21/11 1119.463 cents undecimal major seventh 14: 1 108/55 1168.233 cents 15: 1 20/11 1034.996 cents large minor seventh 15: 1 11/6 1049.363 cents undecimal neutral seventh, 21/4-tone 15: 1 28/15 1080.557 cents grave major seventh 15: 1 66/35 1098.133 cents 15: 3 40/21 1115.533 cents acute major seventh 15: 2 21/11 1119.463 cents undecimal major seventh 15: 1 121/63 1129.900 cents 15: 1 27/14 1137.039 cents septimal major seventh 15: 1 35/18 1151.230 cents septimal semi-diminished octave 15: 1 196/99 1182.424 cents 15: 2 99/50 1182.601 cents 15: 1 240/121 1185.633 cents Highest number of different intervals for one interval class: 13 Average number of different intervals per interval class: 12.26667 = 184/15
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0.0 : 165.0 182.4 266.9 315.6 417.5 498.0 617.5 702.0 764.9 782.5 852.6 933.1 1017.6 1035.0 1049.4 1200.0 165.0 : 17.4 101.9 150.6 252.5 333.0 452.5 537.0 599.9 617.5 687.6 768.1 852.6 870.0 884.4 1035.0 1200.0 182.4 : 84.5 133.2 235.1 315.6 435.1 519.6 582.5 600.1 670.2 750.7 835.2 852.6 867.0 1017.6 1182.6 1200.0 266.9 : 48.8 150.6 231.2 350.6 435.1 498.0 515.6 585.7 666.3 750.7 768.1 782.5 933.1 1098.1 1115.5 1200.0 315.6 : 101.9 182.4 301.8 386.3 449.3 466.9 537.0 617.5 702.0 719.4 733.7 884.4 1049.4 1066.8 1151.2 1200.0 417.5 : 80.5 200.0 284.4 347.4 365.0 435.1 515.6 600.1 617.5 631.9 782.5 947.5 964.9 1049.4 1098.1 1200.0 498.0 : 119.4 203.9 266.9 284.4 354.5 435.1 519.6 537.0 551.3 702.0 867.0 884.4 968.8 1017.6 1119.5 1200.0 617.5 : 84.5 147.4 165.0 235.1 315.6 400.1 417.5 431.9 582.5 747.5 764.9 849.4 898.2 1000.0 1080.6 1200.0 702.0 : 63.0 80.5 150.6 231.2 315.6 333.0 347.4 498.0 663.0 680.4 764.9 813.7 915.6 996.1 1115.5 1200.0 764.9 : 17.6 87.7 168.2 252.7 270.1 284.4 435.1 600.1 617.5 702.0 750.7 852.6 933.1 1052.6 1137.0 1200.0 782.5 : 70.1 150.6 235.1 252.5 266.9 417.5 582.5 599.9 684.4 733.1 835.0 915.6 1035.0 1119.5 1182.4 1200.0 852.6 : 80.5 165.0 182.4 196.8 347.4 512.4 529.8 614.3 663.0 764.9 845.5 964.9 1049.4 1112.3 1129.9 1200.0 933.1 : 84.5 101.9 116.2 266.9 431.9 449.3 533.7 582.5 684.4 764.9 884.4 968.8 1031.8 1049.4 1119.5 1200.0 1017.6: 17.4 31.8 182.4 347.4 364.8 449.3 498.0 599.9 680.4 799.9 884.4 947.3 964.9 1035.0 1115.5 1200.0 1035.0: 14.4 165.0 330.0 347.4 431.9 480.6 582.5 663.0 782.5 867.0 929.9 947.5 1017.6 1098.1 1182.6 1200.0 1049.4: 150.6 315.6 333.0 417.5 466.3 568.1 648.7 768.1 852.6 915.6 933.1 1003.2 1083.8 1168.2 1185.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 14.3672 .. 165.0042 cents 12/11, 150.6371 cents 121/120, 14.3672 cents 2: 31.7667 .. 315.6413 cents 324/275, 283.8746 cents 25/27,-133.2376 cents 3: 116.2338 .. 333.0408 cents 960/847, 216.8069 cents 385/432,-199.4074 cents 4: 196.7709 .. 417.5080 cents 1512/1331, 220.7371 cents 1331/1440,-136.2699 cents 5: 266.8709 .. 466.2783 cents 432/385, 199.4074 cents 11/12,-150.6371 cents 6: 284.4470 .. 568.1450 cents 1568/1331, 283.6980 cents 605/672,-181.8313 cents 7: 347.4079 .. 648.6821 cents 144/121, 301.2741 cents 1331/1512,-220.7371 cents 8: 431.8751 .. 768.1249 cents 7200/5929, 336.2497 cents 847/960,-216.8069 cents 9: 551.3179 .. 852.5921 cents 144/121, 301.2741 cents 847/960,-216.8069 cents 10: 631.8550 .. 915.5530 cents 1568/1331, 283.6980 cents 1331/1512,-220.7371 cents 11: 733.7217 .. 933.1291 cents 432/385, 199.4074 cents 605/672,-181.8313 cents 12: 782.4920 .. 1003.2291 cents 1512/1331, 220.7371 cents 11/12,-150.6371 cents 13: 866.9592 .. 1083.7662 cents 960/847, 216.8069 cents 1331/1440,-136.2699 cents 14: 884.3587 .. 1168.2333 cents 324/275, 283.8746 cents 385/432,-199.4074 cents 15: 1034.9958 .. 1185.6328 cents 12/11, 150.6371 cents 25/27,-133.2376 cents
SHOW DATA
Number of notes : 16 -- Interval properties -- Smallest interval : 121/120, 14.3672 cents, class 1 Average step (divided formal octave): 75.0000 cents Largest one step interval : 11/10, 165.0042 cents Average / Smallest step : 5.220235 Largest / Average step : 2.200056 Largest / Smallest step : 11.484811 Median interval of one step : 22/21, 80.5370 cents, amount: 2 Most common interval of one step : 21/20, 84.4672 cents, amount: 3 Least squares average step : 77.24012 cents, oct.: 1235.84188 cents Scale is not proper Step pattern alph. order: ABCDEFGCHIJFCBKL Step pattern size order : LBHDIGJHECFGHBAK Scale is not a Constant Structure Scale diversity : 1.604505 Lumma stability : 0.023945 Lumma impropriety factor : 0.947056 Number of different interval sizes : 120 = 8.00000 / class Number of one step interval sizes : 12 Highest interval variety : 13 Mean interval variety : 12.26667 = 184/15 Median interval variety : 12 Lowest interval variety : 12 Smallest interval difference : 9801/9800, 0.1766 cents Number of recognisable fifths : 6, average 702.4604 cents Number of appreciable fifths : 4, average 701.9550 cents Scale contains a complete diamond : 3 9 Length of longest harmonic part : 1 at degree 0 Length of longest subharmonic part : 2 at degree 11 Formal octave complements present : 11 = 68.7500% Scale is differentially coherent in interval classes 1 and 2 combined -- Rational properties -- Prime limit : 11 Odd number limit : 121 (O: 121 U: 121) Highest odd numerator or denominator: 11 Scale harmonicity : 0.011990 Average absolute harmonicity : 0.139857 Specific harmonicity : 0.080887 Fundamental : 1/6930, -12.7586 octaves, 0.0378 Hz. Guide tone : 13860, 13.7586 octaves, 3626130.335 Hz. Exponens Consonantiae : 9.604980E+07, 26.51728 octaves Euler's gradus suavitatis : 52 Sum of Mann's harmonic distance : 136.0, average 8.50000 Mersenne's string divisions : too high to compute Sum of van Prooijen's expressibility: 13.29959, average 0.83122 Sum of Tenney's harmonic distance : 27.30997, average 1.70687 Vogel's harmonic complexity : 30.56250 Wille's k value : 6352 Wilson's harmonic complexity : 58 Rectangular lattice diameter : 10 Triangular lattice diameter : 4 Lattice compactness : 350.76961, average 2.57919 Lattice compactness (without 2's) : 284.42107, average 2.09133 Number of different primes : 5 Prime exponents' range, average, count, tones@limit: 2: -1 .. 2 0.56250 17 1 3: -2 .. 2 0.00000 14 2 5: -1 .. 1 0.00000 6 3 7: -1 .. 1 0.00000 6 4 11: -1 .. 1 0.00000 6 6 Average exponent except 2's : 0 / 16 = 0.00000 Average absolute exponent except 2's: 32 / 16 = 2.00000
FIT/MODE
16: 2 0 1 1 1 2 1 1 1 0 1 1 1 1 0 2 N SD: 27.4043 c. M: 42.5963 c. 17: 2 1 1 0 2 1 2 1 1 0 1 1 1 1 0 2 N SD: 17.8907 c. M: 33.2883 c. 19: 3 0 1 1 2 1 2 1 1 0 1 2 1 0 1 2 N SD: 17.4130 c. M: 31.5394 c. 21: 3 0 2 1 1 2 2 1 1 1 1 1 2 0 0 3 N SD: 15.7665 c. M:-27.2159 c. 22: 3 0 2 1 2 1 2 2 1 0 2 1 2 0 0 3 N SD: 12.7643 c. M:-20.1352 c. 26: 4 0 2 1 2 2 2 2 2 0 1 2 2 0 1 3 N SD: 12.6241 c. M: 21.8228 c. 27: 4 0 2 1 2 2 3 2 1 1 1 2 2 0 1 3 N SD: 10.1436 c. M: 17.5080 c. 31: 4 1 2 1 3 2 3 2 2 0 2 2 2 1 0 4 N SD: 7.1755 c. M: 11.1447 c. 41: 6 0 3 2 3 3 4 3 2 1 2 3 3 0 1 5 N SD: 5.9070 c. M: 10.6055 c. 45: 6 1 3 2 4 3 4 3 3 0 3 3 3 1 0 6 N SD: 6.1149 c. M: 9.3629 c. 46: 6 1 3 2 4 3 5 3 2 1 3 3 3 1 0 6 N SD: 5.4875 c. M:-8.5991 c. 58: 8 1 4 2 5 4 6 4 3 1 3 4 4 1 1 7 N SD: 3.1754 c. M:-5.8095 c. 72: 10 1 5 3 6 5 7 5 4 1 4 5 5 1 1 9 N SD: 1.3303 c. M: 2.5921 c. 152: 21 2 11 6 13 10 15 11 8 2 9 10 11 2 2 19 N SD: 0.9374 c. M: 1.6983 c. 190: 26 3 13 8 16 13 19 13 10 3 11 13 13 3 2 24 N SD: 0.9227 c. M: 1.6077 c. 224: 31 3 16 9 19 15 22 16 12 3 13 15 16 3 3 28 N SD: 0.7601 c. M: 1.4164 c. 262: 36 4 18 11 22 18 26 18 14 4 15 18 18 4 3 33 N SD: 0.7800 c. M: 1.2221 c. 270: 37 4 19 11 23 18 27 19 14 4 16 18 19 4 3 34 N SD: 0.3668 c. M:-0.7413 c. 342: 47 5 24 14 29 23 34 24 18 5 20 23 24 5 4 43 N SD: 0.1307 c. M: 0.2401 c. 836: 115 12 59 34 71 56 83 59 44 12 49 56 59 12 10 105 N SD: 0.1279 c. M: 0.2629 c. 1106: 152 16 78 45 94 74 110 78 58 16 65 74 78 16 13 139 N SD: 0.1231 c. M:-0.2136 c. 1164: 160 17 82 47 99 78 116 82 61 17 68 78 82 17 14 146 N SD: 0.0893 c. M: 0.1774 c. 1178: 162 17 83 48 100 79 117 83 62 17 69 79 83 17 14 148 N SD: 0.0967 c. M: 0.1703 c. 1236: 170 18 87 50 105 83 123 87 65 18 72 83 87 18 15 155 N SD: 0.0947 c. M: 0.1649 c. 1434: 197 21 101 58 122 96 143 101 75 21 84 96 101 21 17 180 N SD: 0.0990 c. M: 0.1601 c. 1506: 207 22 106 61 128 101 150 106 79 22 88 101 106 22 18 189 N SD: 0.0518 c. M: 0.1034 c. 1848: 254 27 130 75 157 124 184 130 97 27 108 124 130 27 22 232 N SD: 0.0396 c. M: 0.0692 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: 10.5889 cents 4 .. 8 match: 4 H SD: 11.8515 cents 5 .. 10 match: 5 H SD: 9.3731 cents 6 .. 12 match: 6 H SD: 5.2944 cents 7 .. 14 match: 7 H SD: 6.5187 cents 8 .. 16 match: 8 H SD: 10.6118 cents 9 .. 18 match: 9 H SD: 8.2535 cents 10 .. 20 match: 9 S SD: 6.8074 cents 11 .. 22 match: 10 S SD: 5.9077 cents 12 .. 24 match: 11 S SD: 5.9860 cents 13 .. 26 match: 11 SD: 8.4917 cents 14 .. 28 match: 13 S SD: 5.8350 cents 15 .. 30 match: 12 SD: 6.6712 cents 16 .. 32 match: 11 SD: 5.4558 cents 17 .. 34 match: 11 SD: 5.4771 cents 18 .. 36 match: 13 SD: 3.9774 cents 19 .. 38 match: 13 SD: 4.1650 cents 20 .. 40 match: 13 SD: 4.4989 cents 21 .. 42 match: 12 SD: 3.9135 cents 22 .. 44 match: 12 SD: 4.0951 cents 23 .. 46 match: 14 SD: 4.7134 cents 24 .. 48 match: 15 SD: 3.5444 cents 25 .. 50 match: 13 SD: 2.9958 cents 26 .. 52 match: 14 SD: 3.2664 cents 27 .. 54 match: 12 SD: 3.8168 cents 28 .. 56 match: 13 SD: 3.0420 cents 29 .. 58 match: 14 SD: 3.1015 cents 30 .. 60 match: 13 SD: 1.4376 cents 31 .. 62 match: 14 SD: 2.8416 cents 32 .. 64 match: 14 SD: 3.1231 cents 33 .. 66 match: 16 SD: 2.9610 cents 34 .. 68 match: 14 SD: 2.7814 cents 35 .. 70 match: 14 SD: 2.3627 cents 36 .. 72 match: 14 SD: 1.7375 cents 37 .. 74 match: 13 SD: 2.5688 cents 38 .. 76 match: 15 SD: 2.2571 cents 39 .. 78 match: 14 SD: 2.4350 cents 40 .. 80 match: 14 SD: 1.8290 cents 41 .. 82 match: 14 SD: 2.2752 cents 42 .. 84 match: 15 SD: 1.8983 cents 44 .. 88 match: 16 SD: 1.7799 cents 45 .. 90 match: 15 SD: 1.9047 cents 46 .. 92 match: 13 SD: 1.9673 cents 47 .. 94 match: 14 SD: 1.8814 cents 48 .. 96 match: 14 SD: 1.7479 cents 49 .. 98 match: 15 SD: 1.4282 cents 52 .. 104 match: 15 SD: 1.6003 cents 54 .. 108 match: 16 SD: 1.2006 cents 55 .. 110 match: 14 SD: 1.4292 cents 56 .. 112 match: 15 SD: 1.2501 cents 57 .. 114 match: 15 SD: 2.0592 cents 58 .. 116 match: 15 SD: 1.4863 cents 59 .. 118 match: 16 SD: 1.4364 cents 60 .. 120 match: 16 SD: 1.0081 cents 65 .. 130 match: 15 SD: 1.1684 cents 66 .. 132 match: 15 SD: 0.8855 cents 67 .. 134 match: 15 SD: 1.3809 cents 70 .. 140 match: 16 SD: 0.8835 cents 75 .. 150 match: 15 SD: 1.3591 cents 76 .. 152 match: 15 SD: 1.2401 cents 77 .. 154 match: 16 SD: 1.1030 cents 78 .. 156 match: 16 SD: 1.0978 cents 79 .. 158 match: 16 SD: 1.0350 cents 80 .. 160 match: 16 SD: 0.8924 cents 84 .. 168 match: 16 SD: 0.8288 cents 85 .. 170 match: 15 SD: 1.1042 cents 88 .. 176 match: 16 SD: 0.8654 cents 90 .. 180 match: 16 SD: 0.7478 cents 100 .. 200 match: 16 SD: 0.7297 cents 108 .. 216 match: 16 SD: 0.6862 cents 110 .. 220 match: 16 SD: 0.5415 cents 126 .. 252 match: 16 SD: 0.4451 cents 150 .. 300 match: 16 SD: 0.4085 cents 180 .. 360 match: 16 SD: 0.2588 cents 210 .. 420 match: 16 SD: 0.2531 cents 252 .. 504 match: 16 SD: 0.2348 cents 270 .. 540 match: 16 SD: 0.1683 cents 360 .. 720 match: 16 SD: 0.1224 cents 450 .. 900 match: 16 SD: 0.1037 cents 600 .. 1200 match: 16 SD: 0.1009 cents