Scala analysis: cpak19
optimal tetrad pack scale
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: 35/32 155.139620 septimal neutral second 3: 9/8 203.910002 major whole tone 4: 7/6 266.870906 septimal minor third 5: 49/40 351.338099 larger approximation to neutral third 6: 5/4 386.313714 major third 7: 21/16 470.780907 narrow fourth 8: 4/3 498.044999 perfect fourth 9: 7/5 582.512193 septimal or Huygens' tritone, BP fourth 10: 35/24 653.184619 septimal semi-diminished fifth 11: 3/2 701.955001 perfect fifth 12: 63/40 786.422194 narrow minor sixth 13: 105/64 857.094621 septimal neutral sixth 14: 5/3 884.358713 major sixth, BP sixth 15: 7/4 968.825906 harmonic seventh 16: 147/80 1053.293100 17: 15/8 1088.268715 classic major seventh 18: 63/32 1172.735908 octave - septimal comma 19: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 64/63 27.2641 septimal comma, Archytas' comma 1: 21/20 84.4672 minor semitone 2: 25/24 70.6724 classic chromatic semitone, minor chroma 3: 36/35 48.7704 septimal diesis, 1/4-tone 4: 28/27 62.9609 Archytas' 1/3-tone 5: 21/20 84.4672 minor semitone 6: 50/49 34.9756 Erlich's decatonic comma, tritonic diesis 7: 21/20 84.4672 minor semitone 8: 64/63 27.2641 septimal comma, Archytas' comma 9: 21/20 84.4672 minor semitone 10: 25/24 70.6724 classic chromatic semitone, minor chroma 11: 36/35 48.7704 septimal diesis, 1/4-tone 12: 21/20 84.4672 minor semitone 13: 25/24 70.6724 classic chromatic semitone, minor chroma 14: 64/63 27.2641 septimal comma, Archytas' comma 15: 21/20 84.4672 minor semitone 16: 21/20 84.4672 minor semitone 17: 50/49 34.9756 Erlich's decatonic comma, tritonic diesis 18: 21/20 84.4672 minor semitone 19: 64/63 27.2641 septimal comma, Archytas' comma
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 64/63 27.264 cents septimal comma, Archytas' comma 1: 2 50/49 34.976 cents Erlich's decatonic comma, tritonic diesis 1: 2 36/35 48.770 cents septimal diesis, 1/4-tone 1: 1 28/27 62.961 cents Archytas' 1/3-tone 1: 3 25/24 70.672 cents classic chromatic semitone, minor chroma 1: 8 21/20 84.467 cents minor semitone 2: 1 200/189 97.937 cents 2: 6 16/15 111.731 cents minor diatonic semitone 2: 6 15/14 119.443 cents major diatonic semitone 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: 3 35/32 155.140 cents septimal neutral second 2: 1 441/400 168.934 cents two (minor semitone) 3: 2 160/147 146.707 cents 3: 6 10/9 182.404 cents minor whole tone 3: 4 28/25 196.198 cents middle second 3: 7 9/8 203.910 cents major whole tone 4: 9 8/7 231.174 cents septimal whole tone 4: 7 7/6 266.871 cents septimal minor third 4: 1 75/64 274.582 cents classic augmented second 4: 2 189/160 288.377 cents 5: 2 32/27 294.135 cents Pythagorean minor third 5: 5 25/21 301.847 cents BP second, quasi-equal minor third 5: 9 6/5 315.641 cents minor third 5: 2 49/40 351.338 cents larger approximation to neutral third 5: 1 315/256 359.050 cents 6: 2 128/105 342.905 cents septimal neutral third 6: 2 60/49 350.617 cents smaller approximation to neutral third 6: 3 56/45 378.602 cents septimal narrow major third 6: 9 5/4 386.314 cents major third 6: 3 63/50 400.108 cents quasi-equal major third 7: 5 80/63 413.578 cents wide major third 7: 2 32/25 427.373 cents classic diminished fourth 7: 4 9/7 435.084 cents septimal major third, BP third 7: 1 35/27 449.275 cents septimal semi-diminished fourth, 9/4-tone 7: 1 98/75 463.069 cents 7: 6 21/16 470.781 cents narrow fourth 8: 13 4/3 498.045 cents perfect fourth 8: 2 75/56 505.757 cents marvelous fourth 8: 3 27/20 519.551 cents acute fourth 8: 1 441/320 555.248 cents 9: 1 256/189 525.309 cents 9: 2 200/147 533.021 cents 9: 3 48/35 546.815 cents septimal semi-augmented fourth 9: 2 25/18 568.717 cents classic augmented fourth 9: 8 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 9: 3 45/32 590.224 cents diatonic tritone 10: 3 64/45 609.776 cents 2nd tritone 10: 8 10/7 617.488 cents Euler's tritone 10: 2 36/25 631.283 cents classic diminished fifth 10: 3 35/24 653.185 cents septimal semi-diminished fifth 10: 2 147/100 666.979 cents 10: 1 189/128 674.691 cents 11: 1 640/441 644.752 cents 11: 3 40/27 680.449 cents grave fifth 11: 2 112/75 694.243 cents marvelous fifth 11: 13 3/2 701.955 cents perfect fifth 12: 6 32/21 729.219 cents wide fifth 12: 1 75/49 736.931 cents BP fifth 12: 1 54/35 750.725 cents septimal semi-augmented fifth 12: 4 14/9 764.916 cents septimal minor sixth 12: 2 25/16 772.627 cents classic augmented fifth 12: 5 63/40 786.422 cents narrow minor sixth 13: 3 100/63 799.892 cents quasi-equal minor sixth 13: 9 8/5 813.686 cents minor sixth 13: 3 45/28 821.398 cents septimale wide minor sixth 13: 2 49/30 849.383 cents larger approximation to neutral sixth 13: 2 105/64 857.095 cents septimal neutral sixth 14: 1 512/315 840.950 cents 14: 2 80/49 848.662 cents smaller approximation to neutral sixth 14: 9 5/3 884.359 cents major sixth, BP sixth 14: 5 42/25 898.153 cents quasi-equal major sixth 14: 2 27/16 905.865 cents Pythagorean major sixth 15: 2 320/189 911.623 cents 15: 1 128/75 925.418 cents diminished seventh 15: 7 12/7 933.129 cents septimal major sixth 15: 9 7/4 968.826 cents harmonic seventh 16: 7 16/9 996.090 cents Pythagorean minor seventh 16: 4 25/14 1003.802 cents middle minor seventh 16: 6 9/5 1017.596 cents just minor seventh, BP seventh 16: 2 147/80 1053.293 cents 17: 1 800/441 1031.066 cents 17: 3 64/35 1044.860 cents septimal neutral seventh 17: 1 90/49 1052.572 cents 17: 1 50/27 1066.762 cents grave major seventh 17: 6 28/15 1080.557 cents grave major seventh 17: 6 15/8 1088.269 cents classic major seventh 17: 1 189/100 1102.063 cents 18: 8 40/21 1115.533 cents acute major seventh 18: 3 48/25 1129.328 cents classic diminished octave 18: 1 27/14 1137.039 cents septimal major seventh 18: 2 35/18 1151.230 cents septimal semi-diminished octave 18: 2 49/25 1165.024 cents BP eighth 18: 3 63/32 1172.736 cents octave - septimal comma Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 5.22222 = 47/9
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0.0 : 84.5 155.1 203.9 266.9 351.3 386.3 470.8 498.0 582.5 653.2 702.0 786.4 857.1 884.4 968.8 1053.3 1088.3 1172.7 1200.0 84.5 : 70.7 119.4 182.4 266.9 301.8 386.3 413.6 498.0 568.7 617.5 702.0 772.6 799.9 884.4 968.8 1003.8 1088.3 1115.5 1200.0 155.1 : 48.8 111.7 196.2 231.2 315.6 342.9 427.4 498.0 546.8 631.3 702.0 729.2 813.7 898.2 933.1 1017.6 1044.9 1129.3 1200.0 203.9 : 63.0 147.4 182.4 266.9 294.1 378.6 449.3 498.0 582.5 653.2 680.4 764.9 849.4 884.4 968.8 996.1 1080.6 1151.2 1200.0 266.9 : 84.5 119.4 203.9 231.2 315.6 386.3 435.1 519.6 590.2 617.5 702.0 786.4 821.4 905.9 933.1 1017.6 1088.3 1137.0 1200.0 351.3 : 35.0 119.4 146.7 231.2 301.8 350.6 435.1 505.8 533.0 617.5 702.0 736.9 821.4 848.7 933.1 1003.8 1052.6 1115.5 1200.0 386.3 : 84.5 111.7 196.2 266.9 315.6 400.1 470.8 498.0 582.5 667.0 702.0 786.4 813.7 898.2 968.8 1017.6 1080.6 1165.0 1200.0 470.8 : 27.3 111.7 182.4 231.2 315.6 386.3 413.6 498.0 582.5 617.5 702.0 729.2 813.7 884.4 933.1 996.1 1080.6 1115.5 1200.0 498.0 : 84.5 155.1 203.9 288.4 359.0 386.3 470.8 555.2 590.2 674.7 702.0 786.4 857.1 905.9 968.8 1053.3 1088.3 1172.7 1200.0 582.5 : 70.7 119.4 203.9 274.6 301.8 386.3 470.8 505.8 590.2 617.5 702.0 772.6 821.4 884.4 968.8 1003.8 1088.3 1115.5 1200.0 653.2 : 48.8 133.2 203.9 231.2 315.6 400.1 435.1 519.6 546.8 631.3 702.0 750.7 813.7 898.2 933.1 1017.6 1044.9 1129.3 1200.0 702.0 : 84.5 155.1 182.4 266.9 351.3 386.3 470.8 498.0 582.5 653.2 702.0 764.9 849.4 884.4 968.8 996.1 1080.6 1151.2 1200.0 786.4 : 70.7 97.9 182.4 266.9 301.8 386.3 413.6 498.0 568.7 617.5 680.4 764.9 799.9 884.4 911.6 996.1 1066.8 1115.5 1200.0 857.1 : 27.3 111.7 196.2 231.2 315.6 342.9 427.4 498.0 546.8 609.8 694.2 729.2 813.7 841.0 925.4 996.1 1044.9 1129.3 1200.0 884.4 : 84.5 168.9 203.9 288.4 315.6 400.1 470.8 519.6 582.5 667.0 702.0 786.4 813.7 898.2 968.8 1017.6 1102.1 1172.7 1200.0 968.8 : 84.5 119.4 203.9 231.2 315.6 386.3 435.1 498.0 582.5 617.5 702.0 729.2 813.7 884.4 933.1 1017.6 1088.3 1115.5 1200.0 1053.3: 35.0 119.4 146.7 231.2 301.8 350.6 413.6 498.0 533.0 617.5 644.8 729.2 799.9 848.7 933.1 1003.8 1031.1 1115.5 1200.0 1088.3: 84.5 111.7 196.2 266.9 315.6 378.6 463.1 498.0 582.5 609.8 694.2 764.9 813.7 898.2 968.8 996.1 1080.6 1165.0 1200.0 1172.7: 27.3 111.7 182.4 231.2 294.1 378.6 413.6 498.0 525.3 609.8 680.4 729.2 813.7 884.4 911.6 996.1 1080.6 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: 97.9365 .. 168.9344 cents 83349/80000, 70.9979 cents 4000/3969, 13.4693 cents 3: 146.7069 .. 203.9100 cents 1323/1280, 57.2031 cents 64000/64827,-22.2275 cents 4: 231.1741 .. 288.3772 cents 1323/1280, 57.2031 cents 64/63, 27.2641 cents 5: 294.1350 .. 359.0496 cents 8505/8192, 64.9146 cents 5120/5103, 5.7578 cents 6: 342.9054 .. 400.1085 cents 1323/1280, 57.2031 cents 32768/33075,-16.1442 cents 7: 413.5778 .. 470.7809 cents 1323/1280, 57.2031 cents 4000/3969, 13.4693 cents 8: 498.0450 .. 555.2481 cents 1323/1280, 57.2031 cents 64/63, 27.2641 cents 9: 525.3091 .. 590.2237 cents 8505/8192, 64.9146 cents 81920/83349,-29.9390 cents 10: 609.7763 .. 674.6909 cents 8505/8192, 64.9146 cents 2048/2025, 19.5526 cents 11: 644.7519 .. 701.9550 cents 1323/1280, 57.2031 cents 81920/83349,-29.9390 cents 12: 729.2191 .. 786.4222 cents 1323/1280, 57.2031 cents 64/63, 27.2641 cents 13: 799.8915 .. 857.0946 cents 1323/1280, 57.2031 cents 4000/3969, 13.4693 cents 14: 840.9504 .. 905.8650 cents 8505/8192, 64.9146 cents 32768/33075,-16.1442 cents 15: 911.6228 .. 968.8259 cents 1323/1280, 57.2031 cents 5120/5103, 5.7578 cents 16: 996.0900 .. 1053.2931 cents 1323/1280, 57.2031 cents 64/63, 27.2641 cents 17: 1031.0656 .. 1102.0635 cents 83349/80000, 70.9979 cents 64000/64827,-22.2275 cents 18: 1115.5328 .. 1172.7359 cents 1323/1280, 57.2031 cents 4000/3969, 13.4693 cents
SHOW DATA
Number of notes : 19 -- Interval properties -- Smallest interval : 64/63, 27.2641 cents, class 1 Average step (divided formal octave): 63.1579 cents Largest one step interval : 21/20, 84.4672 cents Average / Smallest step : 2.316523 Largest / Average step : 1.337397 Largest / Smallest step : 3.098111 Median interval of one step : 25/24, 70.6724 cents, amount: 3 Most common interval of one step : 21/20, 84.4672 cents, amount: 8 Least squares average step : 64.64758 cents, oct.: 1228.30409 cents Scale is not proper Step pattern alph. order: ABCDAEAFABCABFAAEAF Step pattern size order : FECDFBFAFECFEAFFBFA Scale is a Constant Structure, by a margin of 0.72120 cents Scale diversity : 1.458434 Lumma stability : 0.207108 Lumma impropriety factor : 0.113851 Number of different interval sizes : 94 = 5.22222 / class Number of one step interval sizes : 6 Highest interval variety : 7 Mean interval variety : 5.22222 = 47/9 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 2401/2400, 0.7212 cents Most common intervals : 4/3, 498.0450 cents & inv., amount: 13 Most common triad is 0.0 498.045 701.955 cents, amount: 7 Number of recognisable fifths : 15, average 700.9268 cents Scale contains a complete diamond : 1 3 All steps are superparticular (epimoric) Length of longest harmonic part : 1 at degree 0 Length of longest subharmonic part : 1 at degree 0 Formal octave complements present : 3 = 15.7895% Scale is differentially coherent in interval class 1 Scale is differentially coherent in interval classes 2 and 3 combined Scale is differentially coherent in interval classes 3 and 4 combined Scale is n-1 differentially coherent in interval classes 5 and 6 combined Scale is differentially coherent in interval classes 7 and 8 combined -- Rational properties -- Prime limit : 7 Odd number limit : 441 (O: 441 U: 441) Highest odd numerator or denominator: 147 Scale harmonicity : 0.020255 Average absolute harmonicity : 0.132626 Specific harmonicity : 0.117233 Fundamental : 1/960, -9.9069 octaves, 0.2725 Hz. Guide tone : 8820, 13.1066 octaves, 2307537.486 Hz. Exponens Consonantiae : 8.467200E+06, 23.01345 octaves Euler's gradus suavitatis : 35 Sum of Mann's harmonic distance : 497.5, average 26.18421 Mersenne's string divisions : too high to compute Sum of van Prooijen's expressibility: 22.22777, average 1.16988 Sum of Tenney's harmonic distance : 42.20548, average 2.22134 Vogel's harmonic complexity : 18.36842 Wille's k value : 787 Wilson's harmonic complexity : 33 Rectangular lattice diameter : 7 Triangular lattice diameter : 4 Lattice compactness : 625.07685, average 3.28988 Lattice compactness (without 2's) : 356.02867, average 1.87384 Number of different primes : 4 Prime exponents' range, average, count, tones@limit: 2: -6 .. 2 -2.31579 50 1 3: -1 .. 2 0.42105 16 3 5: -1 .. 1 0.05263 11 3 7: 0 .. 2 0.73684 14 12 Average exponent except 2's : 23 / 19 = 1.21053 Average absolute exponent except 2's: 41 / 19 = 2.15789 Scale is JI-epimorphic with val: <19 30 44 53| = patent
FIT/MODE
19: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 23.5185 c. M: 42.7668 c. 20: 1 2 0 1 2 0 2 0 2 1 1 1 1 1 1 2 0 2 0 N T3 SD: 18.5633 c. M:-27.2641 c. 21: 1 2 1 1 1 1 1 1 1 1 1 2 1 0 2 1 1 2 0 N D3 S SD: 17.7252 c. M: 27.3243 c. 22: 2 1 1 1 2 0 2 0 2 1 1 2 1 0 2 1 1 2 0 N D3 SD: 16.6614 c. M:-31.7596 c. 23: 2 1 1 1 2 0 2 1 1 2 0 2 1 1 2 1 1 1 1 N D3 SD: 15.7556 c. M:-25.0763 c. 24: 2 1 1 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1 1 P M ME S SD: 12.5893 c. M: 22.7359 c. 30: 2 2 1 2 2 1 2 0 3 1 2 2 1 1 2 2 1 2 1 N SD: 11.8992 c. M:-18.0450 c. 31: 2 2 1 2 2 1 2 1 2 2 1 2 2 1 2 2 1 2 1 P M ME S SD: 6.2250 c. M: 12.2286 c. 41: 3 2 2 2 3 1 3 1 3 2 2 3 2 1 3 3 1 3 1 N SD: 4.5964 c. M: 9.2822 c. 53: 4 3 2 3 4 1 4 1 4 3 2 4 3 1 4 4 1 4 1 N SD: 5.0151 c. M:-10.9261 c. 57: 4 3 3 3 4 1 4 2 4 3 2 4 4 1 4 4 2 4 1 N SD: 5.7705 c. M: 7.7712 c. 58: 4 4 2 3 4 2 4 1 4 4 2 4 4 1 4 4 2 4 1 N SD: 5.5578 c. M:-11.8709 c. 62: 4 4 3 3 4 2 4 2 4 4 2 5 3 2 4 4 2 5 1 N SD: 5.3438 c. M:-8.9932 c. 66: 5 4 2 4 4 2 5 1 5 4 3 4 4 2 4 5 2 5 1 N SD: 5.2044 c. M:-9.0823 c. 68: 5 4 3 3 5 2 5 1 5 4 3 5 4 1 5 5 2 5 1 N SD: 4.8411 c. M:-9.6170 c. 72: 5 4 3 4 5 2 5 2 5 4 3 5 4 2 5 5 2 5 2 N SD: 3.4543 c. M: 7.0946 c. 81: 6 4 4 4 6 2 6 2 5 5 3 6 5 2 5 6 2 6 2 N SD: 4.0633 c. M: 6.9915 c. 82: 6 5 3 4 6 2 6 2 6 5 3 6 5 1 6 6 2 6 2 N SD: 3.7792 c. M:-6.3200 c. 84: 6 5 3 5 6 2 6 2 6 5 3 6 5 2 6 6 2 6 2 N SD: 2.7322 c. M:-5.8048 c. 90: 6 6 3 5 6 3 6 2 7 5 4 6 5 2 7 6 3 6 2 N SD: 3.5466 c. M:-5.0646 c. 94: 7 5 4 5 7 2 7 2 7 5 4 7 5 2 7 7 2 7 2 N SD: 3.2653 c. M:-6.2814 c. 99: 7 6 4 5 7 3 7 2 7 6 4 7 6 2 7 7 3 7 2 N SD: 1.6980 c. M:-3.5114 c. 130: 9 8 5 7 9 4 9 3 9 8 5 9 8 3 9 9 4 9 3 N SD: 1.1572 c. M:-2.2000 c. 140: 10 8 6 7 10 4 10 3 10 8 6 10 8 3 10 10 4 10 3 N SD: 1.0982 c. M:-2.1492 c. 171: 12 10 7 9 12 5 12 4 12 10 7 12 10 4 12 12 5 12 4 N SD: 0.4932 c. M: 0.9543 c. 270: 19 16 11 14 19 8 19 6 19 16 11 19 16 6 19 19 8 19 6 N SD: 0.3491 c. M:-0.6832 c. 441: 31 26 18 23 31 13 31 10 31 26 18 31 26 10 31 31 13 31 10 N SD: 0.1386 c. M: 0.3177 c. 966: 68 57 39 51 68 28 68 22 68 57 39 68 57 22 68 68 28 68 22 N SD: 0.1225 c. M:-0.2315 c. 1106: 78 65 45 58 78 32 78 25 78 65 45 78 65 25 78 78 32 78 25 N SD: 0.1110 c. M:-0.2331 c. 1137: 80 67 46 60 80 33 80 26 80 67 46 80 67 26 80 80 33 80 26 N SD: 0.1074 c. M: 0.2161 c. 1236: 87 73 50 65 87 36 87 28 87 73 50 87 73 28 87 87 36 87 28 N SD: 0.1062 c. M:-0.2134 c. 1277: 90 75 52 67 90 37 90 29 90 75 52 90 75 29 90 90 37 90 29 N SD: 0.0763 c. M:-0.1133 c. 1407: 99 83 57 74 99 41 99 32 99 83 57 99 83 32 99 99 41 99 32 N SD: 0.0545 c. M:-0.1203 c. 1578: 111 93 64 83 111 46 111 36 111 93 64 111 93 36 111 111 46 111 36 N SD: 0.0593 c. M: 0.1123 c. 1718: 121 101 70 90 121 50 121 39 121 101 70 121 101 39 121 121 50 121 39 N SD: 0.0478 c. M: 0.0996 c. 1848: 130 109 75 97 130 54 130 42 130 109 75 130 109 42 130 130 54 130 42 N SD: 0.0392 c. M:-0.0621 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: 0.0000 cents 4 .. 8 match: 4 H SD: 0.0000 cents 5 .. 10 match: 5 H SD: 11.4749 cents 6 .. 12 match: 6 H SD: 0.6550 cents 7 .. 14 match: 7 H SD: 9.9026 cents 8 .. 16 match: 8 H SD: 4.4151 cents 9 .. 18 match: 9 H SD: 5.1178 cents 10 .. 20 match: 10 H SD: 7.3245 cents 11 .. 22 match: 11 H SD: 7.0073 cents 12 .. 24 match: 12 H SD: 3.9449 cents 13 .. 26 match: 12 S SD: 5.9324 cents 14 .. 28 match: 12 SD: 7.0480 cents 15 .. 30 match: 13 S SD: 5.6154 cents 16 .. 32 match: 15 S SD: 4.4432 cents 17 .. 34 match: 16 S SD: 4.3418 cents 18 .. 36 match: 16 S SD: 4.1084 cents 19 .. 38 match: 17 SD: 3.9488 cents 20 .. 40 match: 16 SD: 3.6077 cents 21 .. 42 match: 16 SD: 4.4955 cents 22 .. 44 match: 18 SD: 3.3947 cents 23 .. 46 match: 18 SD: 3.1190 cents 24 .. 48 match: 18 SD: 2.4246 cents 25 .. 50 match: 17 SD: 3.1442 cents 26 .. 52 match: 18 SD: 3.4513 cents 27 .. 54 match: 18 SD: 3.5482 cents 28 .. 56 match: 18 SD: 3.1646 cents 29 .. 58 match: 17 SD: 3.3084 cents 30 .. 60 match: 19 SD: 2.6476 cents 31 .. 62 match: 18 SD: 2.4341 cents 32 .. 64 match: 18 SD: 2.1335 cents 34 .. 68 match: 18 SD: 2.8437 cents 35 .. 70 match: 19 SD: 2.1555 cents 36 .. 72 match: 19 SD: 2.1336 cents 37 .. 74 match: 18 SD: 2.3423 cents 39 .. 78 match: 19 SD: 1.9974 cents 40 .. 80 match: 18 SD: 1.5764 cents 48 .. 96 match: 19 SD: 1.4252 cents 54 .. 108 match: 19 SD: 1.3376 cents 55 .. 110 match: 19 SD: 1.3058 cents 61 .. 122 match: 19 SD: 1.2110 cents 63 .. 126 match: 19 SD: 1.1091 cents 64 .. 128 match: 19 SD: 1.0311 cents 72 .. 144 match: 19 SD: 0.8960 cents 80 .. 160 match: 19 SD: 0.8306 cents 95 .. 190 match: 19 SD: 0.8274 cents 96 .. 192 match: 19 SD: 0.5855 cents 120 .. 240 match: 19 SD: 0.4109 cents 160 .. 320 match: 19 SD: 0.3267 cents 192 .. 384 match: 19 SD: 0.2458 cents 240 .. 480 match: 19 SD: 0.2066 cents 288 .. 576 match: 19 SD: 0.1902 cents 320 .. 640 match: 19 SD: 0.1384 cents 384 .. 768 match: 19 SD: 0.1274 cents 480 .. 960 match: 19 SD: 0.0578 cents