Scala analysis: cpak22
optimal tetrad pack scale
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 25/24 70.672427 classic chromatic semitone, minor chroma 2: 15/14 119.442808 major diatonic semitone 3: 35/32 155.139620 septimal neutral second 4: 8/7 231.174094 septimal whole tone 5: 7/6 266.870906 septimal minor third 6: 6/5 315.641287 minor third 7: 5/4 386.313714 major third 8: 9/7 435.084095 septimal major third, BP third 9: 4/3 498.044999 perfect fourth 10: 48/35 546.815381 septimal semi-augmented fourth 11: 10/7 617.487807 Euler's tritone 12: 35/24 653.184619 septimal semi-diminished fifth 13: 3/2 701.955001 perfect fifth 14: 25/16 772.627428 classic augmented fifth 15: 8/5 813.686286 minor sixth 16: 5/3 884.358713 major sixth, BP sixth 17: 12/7 933.129094 septimal major sixth 18: 7/4 968.825906 harmonic seventh 19: 64/35 1044.860380 septimal neutral seventh 20: 15/8 1088.268715 classic major seventh 21: 35/18 1151.229619 septimal semi-diminished octave 22: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 36/35 48.7704 septimal diesis, 1/4-tone 1: 25/24 70.6724 classic chromatic semitone, minor chroma 2: 36/35 48.7704 septimal diesis, 1/4-tone 3: 49/48 35.6968 slendro diesis, septimal 1/6-tone 4: 256/245 76.0345 septimal minor semitone 5: 49/48 35.6968 slendro diesis, septimal 1/6-tone 6: 36/35 48.7704 septimal diesis, 1/4-tone 7: 25/24 70.6724 classic chromatic semitone, minor chroma 8: 36/35 48.7704 septimal diesis, 1/4-tone 9: 28/27 62.9609 Archytas' 1/3-tone 10: 36/35 48.7704 septimal diesis, 1/4-tone 11: 25/24 70.6724 classic chromatic semitone, minor chroma 12: 49/48 35.6968 slendro diesis, septimal 1/6-tone 13: 36/35 48.7704 septimal diesis, 1/4-tone 14: 25/24 70.6724 classic chromatic semitone, minor chroma 15: 128/125 41.0589 minor diesis, diesis 16: 25/24 70.6724 classic chromatic semitone, minor chroma 17: 36/35 48.7704 septimal diesis, 1/4-tone 18: 49/48 35.6968 slendro diesis, septimal 1/6-tone 19: 256/245 76.0345 septimal minor semitone 20: 525/512 43.4083 Avicenna enharmonic diesis 21: 28/27 62.9609 Archytas' 1/3-tone 22: 36/35 48.7704 septimal diesis, 1/4-tone
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 49/48 35.697 cents slendro diesis, septimal 1/6-tone 1: 1 128/125 41.059 cents minor diesis, diesis 1: 1 525/512 43.408 cents Avicenna enharmonic diesis 1: 7 36/35 48.770 cents septimal diesis, 1/4-tone 1: 2 28/27 62.961 cents Archytas' 1/3-tone 1: 5 25/24 70.672 cents classic chromatic semitone, minor chroma 1: 2 256/245 76.034 cents septimal minor semitone 2: 4 21/20 84.467 cents minor semitone 2: 2 1225/1152 106.369 cents 2: 8 16/15 111.731 cents minor diatonic semitone 2: 8 15/14 119.443 cents major diatonic semitone 3: 1 49/45 147.428 cents BP minor semitone 3: 8 35/32 155.140 cents septimal neutral second 3: 6 192/175 160.502 cents septimal 4/5-tone 3: 2 54/49 168.213 cents Zalzal's mujannab 3: 5 10/9 182.404 cents minor whole tone 4: 4 28/25 196.198 cents middle second 4: 4 9/8 203.910 cents major whole tone 4: 2 245/216 218.101 cents 4: 2 875/768 225.812 cents 4: 10 8/7 231.174 cents septimal whole tone 5: 1 144/125 244.969 cents classic diminished third 5: 11 7/6 266.871 cents septimal minor third 5: 1 1024/875 272.233 cents 5: 3 75/64 274.582 cents classic augmented second 5: 4 288/245 279.944 cents 5: 2 25/21 301.847 cents BP second, quasi-equal minor third 6: 1 1225/1024 310.279 cents two (septimal neutral second) 6: 11 6/5 315.641 cents minor third 6: 5 175/144 337.543 cents 6: 3 128/105 342.905 cents septimal neutral third 6: 2 60/49 350.617 cents smaller approximation to neutral third 7: 1 49/40 351.338 cents larger approximation to neutral third 7: 2 216/175 364.412 cents 7: 4 56/45 378.602 cents septimal narrow major third 7: 13 5/4 386.314 cents major third 7: 2 1536/1225 391.676 cents 8: 4 245/192 422.011 cents 8: 6 32/25 427.373 cents classic diminished fourth 8: 6 9/7 435.084 cents septimal major third, BP third 8: 2 35/27 449.275 cents septimal semi-diminished fourth, 9/4-tone 8: 2 125/96 456.986 cents classic augmented third 8: 2 64/49 462.348 cents 2 septatones or septatonic major third 9: 5 21/16 470.781 cents narrow fourth 9: 1 1152/875 476.143 cents 9: 1 324/245 483.854 cents 9: 13 4/3 498.045 cents perfect fourth 9: 2 75/56 505.757 cents marvelous fourth 10: 4 49/36 533.742 cents Arabic lute acute fourth 10: 4 175/128 541.453 cents 10: 12 48/35 546.815 cents septimal semi-augmented fourth 10: 2 25/18 568.717 cents classic augmented fourth 11: 8 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 11: 2 45/32 590.224 cents diatonic tritone 11: 1 1728/1225 595.586 cents 11: 1 1225/864 604.414 cents 11: 2 64/45 609.776 cents 2nd tritone 11: 8 10/7 617.488 cents Euler's tritone 12: 2 36/25 631.283 cents classic diminished fifth 12: 12 35/24 653.185 cents septimal semi-diminished fifth 12: 4 256/175 658.547 cents 12: 4 72/49 666.258 cents Arabic lute grave fifth 13: 2 112/75 694.243 cents marvelous fifth 13: 13 3/2 701.955 cents perfect fifth 13: 1 245/162 716.146 cents 13: 1 875/576 723.857 cents 13: 5 32/21 729.219 cents wide fifth 14: 2 49/32 737.652 cents 14: 2 192/125 743.014 cents classic diminished sixth 14: 2 54/35 750.725 cents septimal semi-augmented fifth 14: 6 14/9 764.916 cents septimal minor sixth 14: 6 25/16 772.627 cents classic augmented fifth 14: 4 384/245 777.989 cents 15: 2 1225/768 808.324 cents 15: 13 8/5 813.686 cents minor sixth 15: 4 45/28 821.398 cents septimale wide minor sixth 15: 2 175/108 835.588 cents 15: 1 80/49 848.662 cents smaller approximation to neutral sixth 16: 2 49/30 849.383 cents larger approximation to neutral sixth 16: 3 105/64 857.095 cents septimal neutral sixth 16: 5 288/175 862.457 cents 16: 11 5/3 884.359 cents major sixth, BP sixth 16: 1 2048/1225 889.721 cents 17: 2 42/25 898.153 cents quasi-equal major sixth 17: 4 245/144 920.056 cents 17: 3 128/75 925.418 cents diminished seventh 17: 1 875/512 927.767 cents 17: 11 12/7 933.129 cents septimal major sixth 17: 1 125/72 955.031 cents classic augmented sixth 18: 10 7/4 968.826 cents harmonic seventh 18: 2 1536/875 974.188 cents 18: 2 432/245 981.899 cents 18: 4 16/9 996.090 cents Pythagorean minor seventh 18: 4 25/14 1003.802 cents middle minor seventh 19: 5 9/5 1017.596 cents just minor seventh, BP seventh 19: 2 49/27 1031.787 cents 19: 6 175/96 1039.498 cents 19: 8 64/35 1044.860 cents septimal neutral seventh 19: 1 90/49 1052.572 cents 20: 8 28/15 1080.557 cents grave major seventh 20: 8 15/8 1088.269 cents classic major seventh 20: 2 2304/1225 1093.631 cents two (septimal semi-augmented fourth) 20: 4 40/21 1115.533 cents acute major seventh 21: 2 245/128 1123.966 cents 21: 5 48/25 1129.328 cents classic diminished octave 21: 2 27/14 1137.039 cents septimal major seventh 21: 7 35/18 1151.230 cents septimal semi-diminished octave 21: 1 1024/525 1156.592 cents 21: 1 125/64 1158.941 cents classic augmented seventh, octave - minor diesis 21: 4 96/49 1164.303 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 5.23810 = 110/21
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 0.0 : 70.7 119.4 155.1 231.2 266.9 315.6 386.3 435.1 498.0 546.8 617.5 653.2 702.0 772.6 813.7 884.4 933.1 968.8 1044.9 1088.3 1151.2 1200.0 70.7 : 48.8 84.5 160.5 196.2 245.0 315.6 364.4 427.4 476.1 546.8 582.5 631.3 702.0 743.0 813.7 862.5 898.2 974.2 1017.6 1080.6 1129.3 1200.0 119.4 : 35.7 111.7 147.4 196.2 266.9 315.6 378.6 427.4 498.0 533.7 582.5 653.2 694.2 764.9 813.7 849.4 925.4 968.8 1031.8 1080.6 1151.2 1200.0 155.1 : 76.0 111.7 160.5 231.2 279.9 342.9 391.7 462.3 498.0 546.8 617.5 658.5 729.2 778.0 813.7 889.7 933.1 996.1 1044.9 1115.5 1164.3 1200.0 231.2 : 35.7 84.5 155.1 203.9 266.9 315.6 386.3 422.0 470.8 541.5 582.5 653.2 702.0 737.7 813.7 857.1 920.1 968.8 1039.5 1088.3 1124.0 1200.0 266.9 : 48.8 119.4 168.2 231.2 279.9 350.6 386.3 435.1 505.8 546.8 617.5 666.3 702.0 778.0 821.4 884.4 933.1 1003.8 1052.6 1088.3 1164.3 1200.0 315.6 : 70.7 119.4 182.4 231.2 301.8 337.5 386.3 457.0 498.0 568.7 617.5 653.2 729.2 772.6 835.6 884.4 955.0 1003.8 1039.5 1115.5 1151.2 1200.0 386.3 : 48.8 111.7 160.5 231.2 266.9 315.6 386.3 427.4 498.0 546.8 582.5 658.5 702.0 764.9 813.7 884.4 933.1 968.8 1044.9 1080.6 1129.3 1200.0 435.1 : 63.0 111.7 182.4 218.1 266.9 337.5 378.6 449.3 498.0 533.7 609.8 653.2 716.1 764.9 835.6 884.4 920.1 996.1 1031.8 1080.6 1151.2 1200.0 498.0 : 48.8 119.4 155.1 203.9 274.6 315.6 386.3 435.1 470.8 546.8 590.2 653.2 702.0 772.6 821.4 857.1 933.1 968.8 1017.6 1088.3 1137.0 1200.0 546.8 : 70.7 106.4 155.1 225.8 266.9 337.5 386.3 422.0 498.0 541.5 604.4 653.2 723.9 772.6 808.3 884.4 920.1 968.8 1039.5 1088.3 1151.2 1200.0 617.5 : 35.7 84.5 155.1 196.2 266.9 315.6 351.3 427.4 470.8 533.7 582.5 653.2 702.0 737.7 813.7 849.4 898.2 968.8 1017.6 1080.6 1129.3 1200.0 653.2 : 48.8 119.4 160.5 231.2 279.9 315.6 391.7 435.1 498.0 546.8 617.5 666.3 702.0 778.0 813.7 862.5 933.1 981.9 1044.9 1093.6 1164.3 1200.0 702.0 : 70.7 111.7 182.4 231.2 266.9 342.9 386.3 449.3 498.0 568.7 617.5 653.2 729.2 764.9 813.7 884.4 933.1 996.1 1044.9 1115.5 1151.2 1200.0 772.6 : 41.1 111.7 160.5 196.2 272.2 315.6 378.6 427.4 498.0 546.8 582.5 658.5 694.2 743.0 813.7 862.5 925.4 974.2 1044.9 1080.6 1129.3 1200.0 813.7 : 70.7 119.4 155.1 231.2 274.6 337.5 386.3 457.0 505.8 541.5 617.5 653.2 702.0 772.6 821.4 884.4 933.1 1003.8 1039.5 1088.3 1158.9 1200.0 884.4 : 48.8 84.5 160.5 203.9 266.9 315.6 386.3 435.1 470.8 546.8 582.5 631.3 702.0 750.7 813.7 862.5 933.1 968.8 1017.6 1088.3 1129.3 1200.0 933.1 : 35.7 111.7 155.1 218.1 266.9 337.5 386.3 422.0 498.0 533.7 582.5 653.2 702.0 764.9 813.7 884.4 920.1 968.8 1039.5 1080.6 1151.2 1200.0 968.8 : 76.0 119.4 182.4 231.2 301.8 350.6 386.3 462.3 498.0 546.8 617.5 666.3 729.2 778.0 848.7 884.4 933.1 1003.8 1044.9 1115.5 1164.3 1200.0 1044.9: 43.4 106.4 155.1 225.8 274.6 310.3 386.3 422.0 470.8 541.5 590.2 653.2 702.0 772.6 808.3 857.1 927.8 968.8 1039.5 1088.3 1124.0 1200.0 1088.3: 63.0 111.7 182.4 231.2 266.9 342.9 378.6 427.4 498.0 546.8 609.8 658.5 729.2 764.9 813.7 884.4 925.4 996.1 1044.9 1080.6 1156.6 1200.0 1151.2: 48.8 119.4 168.2 203.9 279.9 315.6 364.4 435.1 483.9 546.8 595.6 666.3 702.0 750.7 821.4 862.5 933.1 981.9 1017.6 1093.6 1137.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 35.6968 .. 76.0345 cents 12288/12005, 40.3377 cents 49/48, 35.6968 cents 2: 84.4672 .. 119.4428 cents 50/49, 34.9756 cents 1029/1024, 8.4327 cents 3: 147.4281 .. 182.4037 cents 50/49, 34.9756 cents 686/675, 27.9853 cents 4: 196.1985 .. 231.1741 cents 50/49, 34.9756 cents 126/125, 13.7948 cents 5: 244.9689 .. 301.8465 cents 3125/3024, 56.8777 cents 126/125, 13.7948 cents 6: 310.2792 .. 350.6169 cents 12288/12005, 40.3377 cents 1029/1024, 8.4327 cents 7: 351.3381 .. 391.6758 cents 12288/12005, 40.3377 cents 2401/2400, 0.7212 cents 8: 422.0105 .. 462.3482 cents 12288/12005, 40.3377 cents 300125/294912, 30.3348 cents 9: 470.7809 .. 505.7565 cents 50/49, 34.9756 cents 1029/1024, 8.4327 cents 10: 533.7418 .. 568.7174 cents 50/49, 34.9756 cents 686/675, 27.9853 cents 11: 582.5122 .. 617.4878 cents 50/49, 34.9756 cents 126/125, 13.7948 cents 12: 631.2826 .. 666.2582 cents 50/49, 34.9756 cents 126/125, 13.7948 cents 13: 694.2435 .. 729.2191 cents 50/49, 34.9756 cents 686/675, 27.9853 cents 14: 737.6518 .. 777.9895 cents 12288/12005, 40.3377 cents 1029/1024, 8.4327 cents 15: 808.3242 .. 848.6619 cents 12288/12005, 40.3377 cents 300125/294912, 30.3348 cents 16: 849.3831 .. 889.7208 cents 12288/12005, 40.3377 cents 2401/2400, 0.7212 cents 17: 898.1535 .. 955.0311 cents 3125/3024, 56.8777 cents 1029/1024, 8.4327 cents 18: 968.8259 .. 1003.8015 cents 50/49, 34.9756 cents 126/125, 13.7948 cents 19: 1017.5963 .. 1052.5719 cents 50/49, 34.9756 cents 126/125, 13.7948 cents 20: 1080.5572 .. 1115.5328 cents 50/49, 34.9756 cents 686/675, 27.9853 cents 21: 1123.9655 .. 1164.3032 cents 12288/12005, 40.3377 cents 1029/1024, 8.4327 cents
SHOW DATA
Number of notes : 22 -- Interval properties -- Smallest interval : 49/48, 35.6968 cents, class 1 Average step (divided formal octave): 54.5455 cents Largest one step interval : 256/245, 76.0345 cents Average / Smallest step : 1.528020 Largest / Average step : 1.393965 Largest / Smallest step : 2.130007 Median interval of one step : 36/35, 48.7704 cents, amount: 7 Most common interval of one step : 36/35, 48.7704 cents, amount: 7 Least squares average step : 54.67371 cents, oct.: 1202.82157 cents Scale is strictly proper Step pattern alph. order: ABCDCBABEBACBAFABCDGEB Step pattern size order : FDAGADFDEDFADFBFDAGCED Scale is a Constant Structure, by a margin of 0.72120 cents Scale diversity : 1.394565 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.315676 Number of different interval sizes : 110 = 5.23810 / class Number of one step interval sizes : 7 Highest interval variety : 7 Mean interval variety : 5.23810 = 110/21 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 2401/2400, 0.7212 cents Number of recognisable fifths : 16, average 701.8780 cents Number of appreciable fifths : 15, average 700.9268 cents Best fifths form a closed circle Best major thirds form a closed circle Scale contains a complete diamond : 1 3 5 35 Length of longest harmonic part : 1 at degree 0 Length of longest subharmonic part : 1 at degree 0 Formal octave complements present : 15 = 68.1818% Scale is n-1 differentially coherent in interval classes 1 and 2 combined Scale is n-1 differentially coherent in interval classes 2 and 3 combined Scale is n-1 differentially coherent in interval classes 4 and 5 combined Limited inverse transpositions with margin 34.9756 cents: 7 -- Rational properties -- Prime limit : 7 Odd number limit : 1225 (O: 1225 U: 1225) Highest odd numerator or denominator: 35 Scale harmonicity : 0.016277 Average absolute harmonicity : 0.127488 Specific harmonicity : 0.102900 Fundamental : 1/10080, -13.2992 octaves, 0.0260 Hz. Guide tone : 100800, 16.6211 octaves, 26371856.982 Hz. Exponens Consonantiae : 1.016064E+09, 29.92034 octaves Euler's gradus suavitatis : 44 Sum of Mann's harmonic distance : 325.0, average 14.77273 Mersenne's string divisions : too high to compute Sum of van Prooijen's expressibility: 21.79826, average 0.99083 Sum of Tenney's harmonic distance : 43.23199, average 1.96509 Vogel's harmonic complexity : 24.18182 Wille's k value : 5512 Wilson's harmonic complexity : 41 Rectangular lattice diameter : 9 Triangular lattice diameter : 4 Lattice compactness : 979.13598, average 3.87010 Lattice compactness (without 2's) : 492.44161, average 1.94641 Number of different primes : 4 Prime exponents' range, average, count, tones@limit: 2: -5 .. 6 -0.13636 49 1 3: -2 .. 2 0.04545 15 2 5: -1 .. 2 0.36364 16 7 7: -1 .. 1 -0.09091 12 12 Average exponent except 2's : 7 / 22 = 0.31818 Average absolute exponent except 2's: 43 / 22 = 1.95455 Scale is JI-epimorphic with val: <22 35 51 62| = patent
FIT/MODE
22: 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: 8.9519 c. M: 17.4878 c. 31: 2 1 1 2 1 1 2 1 2 1 2 1 1 2 1 2 1 1 2 1 2 1 P D3 SD: 4.6654 c. M:-10.0607 c. 53: 3 2 2 3 2 2 3 2 3 2 3 2 2 3 2 3 2 2 3 2 3 2 SP D3 SD: 3.5420 c. M: 6.2353 c. 68: 4 3 2 4 2 3 4 3 3 3 4 2 3 4 2 4 3 2 4 3 3 3 P SD: 3.0848 c. M:-6.0924 c. 72: 4 3 2 5 2 3 4 3 4 3 4 2 3 4 3 4 3 2 5 2 4 3 P SD: 3.0070 c. M: 5.9608 c. 90: 5 4 3 5 3 4 5 4 4 4 5 3 4 5 3 5 4 3 5 4 4 4 SP SD: 3.5381 c. M:-5.0646 c. 94: 5 4 3 6 3 4 5 4 5 4 5 3 4 5 4 5 4 3 6 3 5 4 SP SD: 3.1690 c. M: 6.8426 c. 99: 6 4 3 6 3 4 6 4 5 4 6 3 4 6 3 6 4 3 6 4 5 4 P SD: 1.5254 c. M:-3.1301 c. 118: 7 5 3 8 3 5 7 5 6 5 7 3 5 7 4 7 5 3 8 4 6 5 N SD: 1.8615 c. M:-2.8512 c. 130: 8 5 4 8 4 5 8 5 7 5 8 4 5 8 4 8 5 4 8 5 7 5 P SD: 1.6033 c. M:-3.1737 c. 140: 8 6 4 9 4 6 8 6 7 6 8 4 6 8 5 8 6 4 9 5 7 6 P SD: 1.2607 c. M: 2.6582 c. 149: 9 6 4 10 4 6 9 6 8 6 9 4 6 9 5 9 6 4 10 5 8 6 N SD: 1.4471 c. M:-2.6464 c. 171: 10 7 5 11 5 7 10 7 9 7 10 5 7 10 6 10 7 5 11 6 9 7 P SD: 0.4107 c. M: 0.7537 c. 270: 16 11 8 17 8 11 16 11 14 11 16 8 11 16 9 16 11 8 17 10 14 11 P SD: 0.3434 c. M:-0.7059 c. 441: 26 18 13 28 13 18 26 18 23 18 26 13 18 26 15 26 18 13 28 16 23 18 P SD: 0.1479 c. M:-0.2901 c. 612: 36 25 18 39 18 25 36 25 32 25 36 18 25 36 21 36 25 18 39 22 32 25 P SD: 0.1615 c. M: 0.2492 c. 643: 38 26 19 41 19 26 38 26 34 26 38 19 26 38 22 38 26 19 41 23 34 26 P SD: 0.1873 c. M:-0.2478 c. 665: 39 27 20 42 20 27 39 27 35 27 39 20 27 39 23 39 27 20 42 24 35 27 SP SD: 0.1821 c. M: 0.3451 c. 836: 49 34 25 53 25 34 49 34 44 34 49 25 34 49 29 49 34 25 53 30 44 34 SP SD: 0.1773 c. M: 0.3786 c. 913: 54 37 27 58 27 37 54 37 48 37 54 27 37 54 31 54 37 27 58 33 48 37 P SD: 0.1393 c. M:-0.3024 c. 935: 55 38 28 59 28 38 55 38 49 38 55 28 38 55 32 55 38 28 59 34 49 38 SP SD: 0.0938 c. M: 0.1616 c. 1106: 65 45 33 70 33 45 65 45 58 45 65 33 45 65 38 65 45 33 70 40 58 45 SP SD: 0.0684 c. M: 0.1480 c. 1376: 81 56 41 87 41 56 81 56 72 56 81 41 56 81 47 81 56 41 87 50 72 56 SP SD: 0.0594 c. M:-0.1034 c. 1547: 91 63 46 98 46 63 91 63 81 63 91 46 63 91 53 91 63 46 98 56 81 63 SP SD: 0.0470 c. M: 0.0984 c. 2019: 119 82 60 128 60 82 119 82 106 82 119 60 82 119 69 119 82 60 128 73 106 82 SP SD: 0.0264 c. M:-0.0557 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: 8.8693 cents 6 .. 12 match: 6 H SD: 0.7504 cents 7 .. 14 match: 7 H SD: 2.7545 cents 8 .. 16 match: 8 H SD: 4.8154 cents 9 .. 18 match: 9 H SD: 6.0787 cents 10 .. 20 match: 10 H SD: 5.6264 cents 11 .. 22 match: 11 H SD: 5.4216 cents 12 .. 24 match: 12 H SD: 3.1774 cents 13 .. 26 match: 13 H SD: 5.2824 cents 14 .. 28 match: 14 H SD: 4.0187 cents 15 .. 30 match: 15 H SD: 4.3998 cents 16 .. 32 match: 16 H SD: 3.7587 cents 17 .. 34 match: 17 H SD: 4.4919 cents 18 .. 36 match: 18 H SD: 3.6604 cents 19 .. 38 match: 17 SD: 3.9768 cents 20 .. 40 match: 18 SD: 3.0398 cents 21 .. 42 match: 20 SD: 2.8311 cents 22 .. 44 match: 19 SD: 3.2018 cents 23 .. 46 match: 21 SD: 3.4370 cents 24 .. 48 match: 20 SD: 2.2318 cents 25 .. 50 match: 19 SD: 2.5968 cents 26 .. 52 match: 19 SD: 3.1285 cents 27 .. 54 match: 20 SD: 2.9010 cents 28 .. 56 match: 22 SD: 2.3687 cents 30 .. 60 match: 22 SD: 2.1786 cents 32 .. 64 match: 21 SD: 2.1380 cents 35 .. 70 match: 21 SD: 1.8796 cents 36 .. 72 match: 21 SD: 2.1908 cents 37 .. 74 match: 21 SD: 2.3318 cents 39 .. 78 match: 22 SD: 2.1010 cents 40 .. 80 match: 22 SD: 1.7435 cents 41 .. 82 match: 22 SD: 1.6542 cents 42 .. 84 match: 22 SD: 1.5198 cents 48 .. 96 match: 22 SD: 1.4074 cents 52 .. 104 match: 22 SD: 1.3447 cents 54 .. 108 match: 22 SD: 1.2887 cents 55 .. 110 match: 22 SD: 1.2473 cents 56 .. 112 match: 22 SD: 1.1384 cents 64 .. 128 match: 22 SD: 1.1345 cents 68 .. 136 match: 22 SD: 1.1048 cents 70 .. 140 match: 22 SD: 0.9215 cents 72 .. 144 match: 22 SD: 0.8573 cents 84 .. 168 match: 22 SD: 0.7522 cents 95 .. 190 match: 22 SD: 0.7463 cents 96 .. 192 match: 22 SD: 0.5843 cents 120 .. 240 match: 22 SD: 0.5403 cents 126 .. 252 match: 22 SD: 0.4593 cents 140 .. 280 match: 22 SD: 0.3304 cents 168 .. 336 match: 22 SD: 0.2990 cents 192 .. 384 match: 22 SD: 0.2847 cents 210 .. 420 match: 22 SD: 0.2551 cents 240 .. 480 match: 22 SD: 0.2362 cents 264 .. 528 match: 22 SD: 0.2230 cents 280 .. 560 match: 22 SD: 0.2076 cents 288 .. 576 match: 22 SD: 0.1953 cents 308 .. 616 match: 22 SD: 0.1911 cents 336 .. 672 match: 22 SD: 0.1477 cents 420 .. 840 match: 22 SD: 0.1441 cents 448 .. 896 match: 22 SD: 0.1321 cents 480 .. 960 match: 22 SD: 0.0995 cents 504 .. 1008 match: 22 SD: 0.0875 cents 576 .. 1152 match: 22 SD: 0.0837 cents