Scala analysis: harm16a
Fifth octave of the harmonic overtone series
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 17/16 104.955410 17th harmonic 2: 9/8 203.910002 major whole tone 3: 19/16 297.513016 19th harmonic 4: 5/4 386.313714 major third 5: 21/16 470.780907 narrow fourth 6: 11/8 551.317942 undecimal semi-augmented fourth 7: 23/16 628.274347 23rd harmonic 8: 3/2 701.955001 perfect fifth 9: 25/16 772.627428 classic augmented fifth 10: 13/8 840.527662 tridecimal neutral sixth 11: 27/16 905.865003 Pythagorean major sixth 12: 7/4 968.825906 harmonic seventh 13: 29/16 1029.577194 29th harmonic 14: 15/8 1088.268715 classic major seventh 15: 31/16 1145.035572 31st harmonic
SHOW/INTERVAL
0: 31/30 56.7669 31st-partial chroma 1: 17/16 104.9554 17th harmonic 2: 18/17 98.9546 Arabic lute index finger 3: 19/18 93.6030 undevicesimal semitone 4: 20/19 88.8007 small undevicesimal semitone 5: 21/20 84.4672 minor semitone 6: 22/21 80.5370 undecimal minor semitone 7: 23/22 76.9564 8: 24/23 73.6807 vicesimotertial minor semitone 9: 25/24 70.6724 classic chromatic semitone, minor chroma 10: 26/25 67.9002 tridecimal 1/3-tone 11: 27/26 65.3373 tridecimal comma 12: 28/27 62.9609 Archytas' 1/3-tone 13: 29/28 60.7513 14: 30/29 58.6915 15: 31/30 56.7669 31st-partial chroma
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 31/30 56.767 cents 31st-partial chroma 1: 1 30/29 58.692 cents 1: 1 29/28 60.751 cents 1: 1 28/27 62.961 cents Archytas' 1/3-tone 1: 1 27/26 65.337 cents tridecimal comma 1: 1 26/25 67.900 cents tridecimal 1/3-tone 1: 1 25/24 70.672 cents classic chromatic semitone, minor chroma 1: 1 24/23 73.681 cents vicesimotertial minor semitone 1: 1 23/22 76.956 cents 1: 1 22/21 80.537 cents undecimal minor semitone 1: 1 21/20 84.467 cents minor semitone 1: 1 20/19 88.801 cents small undevicesimal semitone 1: 1 19/18 93.603 cents undevicesimal semitone 1: 1 18/17 98.955 cents Arabic lute index finger 1: 1 17/16 104.955 cents 17th harmonic 2: 1 31/29 115.458 cents 2: 1 15/14 119.443 cents major diatonic semitone 2: 1 29/27 123.712 cents 2: 1 14/13 128.298 cents 2/3-tone 2: 1 27/25 133.238 cents large limma, BP small semitone, Zarlino semitone 2: 1 13/12 138.573 cents tridecimal 2/3-tone 2: 1 25/23 144.353 cents 2: 1 12/11 150.637 cents undecimal neutral second, 3/4-tone 2: 1 23/21 157.493 cents 2: 1 527/480 161.722 cents 2: 1 11/10 165.004 cents Ptolemy's second, 4/5-tone 2: 1 21/19 173.268 cents 2: 1 10/9 182.404 cents minor whole tone 2: 1 19/17 192.558 cents quasi-meantone 2: 1 9/8 203.910 cents major whole tone 3: 1 31/28 176.210 cents 3: 1 10/9 182.404 cents minor whole tone 3: 1 29/26 189.050 cents 3: 1 28/25 196.198 cents middle second 3: 1 9/8 203.910 cents major whole tone 3: 1 26/23 212.253 cents 3: 1 527/464 220.414 cents 3: 1 25/22 221.309 cents undecimal acute whole tone 3: 1 8/7 231.174 cents septimal whole tone 3: 1 23/20 241.961 cents 3: 1 22/19 253.805 cents Godzilla third 3: 1 93/80 260.677 cents 3: 1 7/6 266.871 cents septimal minor third 3: 1 20/17 281.358 cents septendecimal augmented second 3: 1 19/16 297.513 cents 19th harmonic 4: 1 31/27 239.171 cents 4: 1 15/13 247.741 cents tridecimal 5/4-tone 4: 1 29/25 256.950 cents 4: 1 7/6 266.871 cents septimal minor third 4: 1 27/23 277.591 cents vicesimotertial minor third 4: 1 527/448 281.165 cents 4: 1 13/11 289.210 cents tridecimal minor third 4: 1 25/21 301.847 cents BP second, quasi-equal minor third 4: 1 6/5 315.641 cents minor third 4: 1 279/232 319.368 cents 4: 1 23/19 330.761 cents 4: 1 11/9 347.408 cents undecimal neutral third 4: 1 589/480 354.280 cents 4: 1 21/17 365.825 cents submajor third 4: 1 5/4 386.314 cents major third 5: 1 31/26 304.508 cents 5: 1 6/5 315.641 cents minor third 5: 1 29/24 327.622 cents 5: 1 28/23 340.552 cents 5: 1 527/432 344.126 cents 5: 1 27/22 354.547 cents neutral third, Zalzal wosta of al-Farabi 5: 1 26/21 369.747 cents 5: 1 279/224 380.120 cents 5: 1 5/4 386.314 cents major third 5: 1 24/19 404.442 cents smaller undevicesimal major third 5: 1 589/464 412.971 cents 5: 1 23/18 424.364 cents vicesimotertial major third 5: 1 31/24 443.081 cents 5: 1 22/17 446.363 cents 5: 1 21/16 470.781 cents narrow fourth 6: 1 31/25 372.408 cents 6: 1 5/4 386.314 cents major third 6: 1 29/23 401.303 cents 6: 1 527/416 409.463 cents 6: 1 14/11 417.508 cents undecimal diminished fourth or major third 6: 1 9/7 435.084 cents septimal major third, BP third 6: 1 31/24 443.081 cents 6: 1 13/10 454.214 cents tridecimal semi-diminished fourth 6: 1 589/448 473.723 cents 6: 1 25/19 475.114 cents 6: 1 4/3 498.045 cents perfect fourth 6: 1 155/116 501.772 cents 6: 1 23/17 523.319 cents 6: 1 217/160 527.548 cents 6: 1 11/8 551.318 cents undecimal semi-augmented fourth 7: 1 31/24 443.081 cents 7: 1 30/23 459.994 cents 7: 1 527/400 477.364 cents 7: 1 29/22 478.259 cents 7: 1 4/3 498.045 cents perfect fourth 7: 1 279/208 508.418 cents 7: 1 27/20 519.551 cents acute fourth 7: 1 589/432 536.684 cents 7: 1 26/19 543.015 cents 7: 1 155/112 562.523 cents 7: 1 25/18 568.717 cents classic augmented fourth 7: 1 651/464 586.239 cents 7: 1 24/17 597.000 cents 1st septendecimal tritone 7: 1 341/240 608.085 cents 7: 1 23/16 628.274 cents 23rd harmonic 8: 1 31/23 516.761 cents 8: 1 15/11 536.951 cents undecimal augmented fourth 8: 1 527/384 548.036 cents 8: 1 29/21 558.796 cents 8: 1 279/200 576.318 cents 8: 1 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 8: 1 589/416 602.021 cents 8: 1 27/19 608.352 cents 8: 1 155/108 625.484 cents 8: 1 13/9 636.618 cents tridecimal diminished fifth 8: 1 93/64 646.991 cents 8: 1 341/232 666.776 cents 8: 1 25/17 667.672 cents 8: 1 713/480 685.041 cents 8: 1 3/2 701.955 cents perfect fifth 9: 1 31/22 593.718 cents 9: 1 10/7 617.488 cents Euler's tritone 9: 1 527/368 621.717 cents 9: 1 29/20 643.263 cents 9: 1 93/64 646.991 cents 9: 1 589/400 669.921 cents 9: 1 28/19 671.313 cents 9: 1 155/104 690.822 cents 9: 1 3/2 701.955 cents perfect fifth 9: 1 217/144 709.951 cents 9: 1 341/224 727.528 cents 9: 1 26/17 735.572 cents 9: 1 713/464 743.733 cents 9: 1 31/20 758.722 cents 9: 1 25/16 772.627 cents classic augmented fifth 10: 1 31/21 674.255 cents 10: 1 527/352 698.673 cents 10: 1 3/2 701.955 cents perfect fifth 10: 1 279/184 720.671 cents 10: 1 29/19 732.064 cents 10: 1 589/384 740.594 cents 10: 1 31/20 758.722 cents 10: 1 14/9 764.916 cents septimal minor sixth 10: 1 651/416 775.289 cents 10: 1 341/216 790.489 cents 10: 1 27/17 800.910 cents septendecimal minor sixth 10: 1 713/448 804.484 cents 10: 1 93/58 817.413 cents 10: 1 155/96 829.394 cents 10: 1 13/8 840.528 cents tridecimal neutral sixth 11: 1 31/20 758.722 cents 11: 1 527/336 779.210 cents 11: 1 30/19 790.756 cents smaller undevicesimal minor sixth 11: 1 279/176 797.628 cents 11: 1 589/368 814.274 cents 11: 1 29/18 825.667 cents 11: 1 155/96 829.394 cents 11: 1 651/400 843.189 cents 11: 1 341/208 855.826 cents 11: 1 28/17 863.870 cents submajor sixth 11: 1 713/432 867.445 cents 11: 1 93/56 878.165 cents 11: 1 775/464 888.086 cents 11: 1 403/240 897.295 cents 11: 1 27/16 905.865 cents Pythagorean major sixth 12: 1 31/19 847.523 cents 12: 1 527/320 863.677 cents 12: 1 93/56 878.165 cents 12: 1 5/3 884.359 cents major sixth, BP sixth 12: 1 589/352 891.231 cents 12: 1 155/92 903.075 cents 12: 1 217/128 913.861 cents 12: 1 341/200 923.726 cents 12: 1 29/17 924.622 cents 12: 1 713/416 932.782 cents 12: 1 31/18 941.126 cents 12: 1 775/448 948.837 cents 12: 1 403/232 955.986 cents 12: 1 279/160 962.632 cents 12: 1 7/4 968.826 cents harmonic seventh 13: 1 31/18 941.126 cents 13: 1 527/304 952.478 cents 13: 1 279/160 962.632 cents 13: 1 589/336 971.768 cents 13: 1 155/88 980.031 cents 13: 1 30/17 983.313 cents septendecimal minor seventh 13: 1 651/368 987.542 cents 13: 1 341/192 994.399 cents 13: 1 713/400 1000.682 cents 13: 1 93/52 1006.463 cents 13: 1 775/432 1011.798 cents 13: 1 403/224 1016.737 cents 13: 1 837/464 1021.323 cents 13: 1 217/120 1025.593 cents 13: 1 29/16 1029.577 cents 29th harmonic 14: 1 31/17 1040.080 cents 14: 1 527/288 1046.081 cents 14: 1 279/152 1051.433 cents 14: 1 589/320 1056.235 cents 14: 1 155/84 1060.568 cents 14: 1 651/352 1064.499 cents 14: 1 341/184 1068.079 cents 14: 1 713/384 1071.355 cents 14: 1 93/50 1074.363 cents 14: 1 775/416 1077.135 cents 14: 1 403/216 1079.698 cents 14: 1 837/448 1082.075 cents 14: 1 217/116 1084.284 cents 14: 1 899/480 1086.344 cents 14: 1 15/8 1088.269 cents classic major seventh Highest number of different intervals for one interval class: 15 Average number of different intervals per interval class: 15.00000 = 15
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0.0 : 105.0 203.9 297.5 386.3 470.8 551.3 628.3 702.0 772.6 840.5 905.9 968.8 1029.6 1088.3 1145.0 105.0 : 99.0 192.6 281.4 365.8 446.4 523.3 597.0 667.7 735.6 800.9 863.9 924.6 983.3 1040.1 1145.0 203.9 : 93.6 182.4 266.9 347.4 424.4 498.0 568.7 636.6 702.0 764.9 825.7 884.4 941.1 1046.1 1145.0 297.5 : 88.8 173.3 253.8 330.8 404.4 475.1 543.0 608.4 671.3 732.1 790.8 847.5 952.5 1051.4 1145.0 386.3 : 84.5 165.0 242.0 315.6 386.3 454.2 519.6 582.5 643.3 702.0 758.7 863.7 962.6 1056.2 1145.0 470.8 : 80.5 157.5 231.2 301.8 369.7 435.1 498.0 558.8 617.5 674.3 779.2 878.2 971.8 1060.6 1145.0 551.3 : 77.0 150.6 221.3 289.2 354.5 417.5 478.3 537.0 593.7 698.7 797.6 891.2 980.0 1064.5 1145.0 628.3 : 73.7 144.4 212.3 277.6 340.6 401.3 460.0 516.8 621.7 720.7 814.3 903.1 987.5 1068.1 1145.0 702.0 : 70.7 138.6 203.9 266.9 327.6 386.3 443.1 548.0 647.0 740.6 829.4 913.9 994.4 1071.4 1145.0 772.6 : 67.9 133.2 196.2 256.9 315.6 372.4 477.4 576.3 669.9 758.7 843.2 923.7 1000.7 1074.4 1145.0 840.5 : 65.3 128.3 189.0 247.7 304.5 409.5 508.4 602.0 690.8 775.3 855.8 932.8 1006.5 1077.1 1145.0 905.9 : 63.0 123.7 182.4 239.2 344.1 443.1 536.7 625.5 710.0 790.5 867.4 941.1 1011.8 1079.7 1145.0 968.8 : 60.8 119.4 176.2 281.2 380.1 473.7 562.5 647.0 727.5 804.5 878.2 948.8 1016.7 1082.1 1145.0 1029.6: 58.7 115.5 220.4 319.4 413.0 501.8 586.2 666.8 743.7 817.4 888.1 956.0 1021.3 1084.3 1145.0 1088.3: 56.8 161.7 260.7 354.3 443.1 527.5 608.1 685.0 758.7 829.4 897.3 962.6 1025.6 1086.3 1145.0 1145.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 56.7669 .. 104.9554 cents 255/248, 48.1886 cents 31/30, 56.7669 cents 2: 115.4584 .. 203.9100 cents 261/248, 88.4516 cents 496/493, 10.5030 cents 3: 176.2097 .. 297.5130 cents 133/124, 121.3034 cents 62/63,-27.7003 cents 4: 239.1706 .. 386.3137 cents 135/124, 147.1431 cents 496/513,-58.3424 cents 5: 304.5079 .. 470.7809 cents 273/248, 166.2730 cents 62/65,-81.8058 cents 6: 372.4081 .. 551.3179 cents 275/248, 178.9098 cents 496/525,-98.3728 cents 7: 443.0806 .. 628.2743 cents 69/62, 185.1938 cents 31/33,-108.2374 cents 8: 516.7612 .. 701.9550 cents 69/62, 185.1938 cents 496/529,-111.5131 cents 9: 593.7176 .. 772.6274 cents 275/248, 178.9098 cents 31/33,-108.2374 cents 10: 674.2547 .. 840.5277 cents 273/248, 166.2730 cents 496/525,-98.3728 cents 11: 758.7219 .. 905.8650 cents 135/124, 147.1431 cents 62/65,-81.8058 cents 12: 847.5226 .. 968.8259 cents 133/124, 121.3034 cents 496/513,-58.3424 cents 13: 941.1256 .. 1029.5772 cents 261/248, 88.4516 cents 62/63,-27.7003 cents 14: 1040.0802 .. 1088.2687 cents 255/248, 48.1886 cents 496/493, 10.5030 cents
SHOW DATA
Number of notes : 15 -- Interval properties -- Smallest interval : 31/30, 56.7669 cents, class 1 Average step (divided formal octave): 76.3357 cents Largest one step interval : 17/16, 104.9554 cents Average / Smallest step : 1.344723 Largest / Average step : 1.374919 Largest / Smallest step : 1.848885 Median interval of one step : 24/23, 73.6807 cents, amount: 1 Least squares average step : 81.75088 cents, oct.: 1226.26319 cents Scale is not proper Step pattern alph. order: ABCDEFGHIJKLMNO Step pattern size order : ONMLKJIHGFEDCBA Scale is not a Constant Structure Scale diversity : 1.773436 Lumma stability : 0.117498 Lumma impropriety factor : 0.618413 Number of different interval sizes : 192 = 13.71429 / class Number of one step interval sizes : 15 Highest interval variety : 15 Mean interval variety : 15.00000 = 15 Median interval variety : 15 Lowest interval variety : 15 Smallest interval difference : 8960/8959, 0.1932 cents Most common triad is 0.0 386.314 701.955 cents, amount: 2 Number of recognisable fifths : 6, average 700.8852 cents Number of recognisable fourths : 4, average 501.5700 cents All steps are superparticular (epimoric) Steps are strictly decreasing Scale is harmonic, base degree is : 0 Scale is an arithmetic sequence and a class 1 isoharmonic scale Formal octave complements present : 1 = 6.6667% 2/1 octave complements present : 0 = 0.0000% Scale is differentially coherent -- Rational properties -- Prime limit : 31 Odd number limit : 899 (O: 899 U: 29) Highest odd numerator or denominator: 31 Scale harmonicity : 0.004241 Fundamental : 1/16, -4.0000 octaves, 16.3516 Hz. Guide tone : too high to compute Exponens Consonantiae : 7.220178E+13, 46.03710 octaves Euler's gradus suavitatis : 161 Sum of Mann's harmonic distance : 212.5, average 14.16667 Mersenne's string divisions : too high to compute Sum of van Prooijen's expressibility: 17.28307, average 1.15220 Sum of Tenney's harmonic distance : 32.03354, average 2.13557 Vogel's harmonic complexity : 14.13333 Wille's k value : 15 Wilson's harmonic complexity : 169 Rectangular lattice diameter : 13 Triangular lattice diameter : 3 Lattice compactness : 283.95848, average 2.36632 Lattice compactness (without 2's) : 201.90502, average 1.68254 Number of different primes : 11 Prime exponents' range, average, count, tones@limit: 2: -4 ..-1 -3.26667 49 3: 0 .. 3 0.53333 8 3 5: 0 .. 2 0.26667 4 3 7: 0 .. 1 0.13333 2 2 11: 0 .. 1 0.06667 1 1 13: 0 .. 1 0.06667 1 1 17: 0 .. 1 0.06667 1 1 19: 0 .. 1 0.06667 1 1 23: 0 .. 1 0.06667 1 1 29: 0 .. 1 0.06667 1 1 31: 0 .. 1 0.06667 1 1 Average exponent except 2's : 21 / 15 = 1.40000 Average absolute exponent except 2's: 21 / 15 = 1.40000 Scale is weakly epimorphic with val: <16 25 36 44 54 58 65 67 71 78 79| Scale is weakly epimorphic with val: <16 25 36 44 55 58 65 67 70 78 79|
FIT/MODE
15: 1 2 1 1 1 1 1 1 1 1 1 1 0 1 1 N T3 SD: 18.3062 c. M: 37.2130 c. 18: 2 1 2 1 1 2 1 1 1 1 1 1 1 1 1 N SD: 14.5582 c. M: 25.4893 c. 19: 2 1 2 1 2 1 1 2 1 1 1 1 1 1 1 N SD: 13.9232 c. M: 25.6240 c. 20: 2 2 1 2 1 2 1 1 2 1 1 1 1 1 1 N SD: 14.5751 c. M:-28.8975 c. 22: 2 2 2 1 2 2 1 1 2 1 1 2 1 1 1 N SD: 14.0359 c. M: 25.3431 c. 23: 2 2 2 2 1 2 2 1 2 1 1 1 2 1 1 N SD: 13.2583 c. M:-23.9191 c. 24: 2 2 2 2 2 2 1 2 1 2 1 1 2 1 1 N SD: 12.2975 c. M:-21.1998 c. 27: 2 3 2 2 2 2 2 2 1 2 1 2 1 2 1 N SD: 10.6466 c. M: 20.1380 c. 29: 3 2 3 2 2 2 2 2 2 1 2 2 1 2 1 N SD: 10.9565 c. M:-18.3589 c. 31: 3 3 2 3 2 2 2 2 2 2 2 1 2 2 1 N SD: 10.7475 c. M:-19.9892 c. 33: 3 3 3 2 3 2 2 2 2 2 2 2 2 1 2 N SD: 8.2951 c. M:-14.9918 c. 34: 3 3 3 2 3 2 3 2 2 2 2 2 2 1 2 N SD: 8.2423 c. M: 15.8610 c. 38: 3 4 3 3 3 2 3 2 3 2 2 2 2 2 2 N SD: 7.3154 c. M: 14.5579 c. 39: 4 3 3 3 3 3 2 3 2 3 2 2 2 2 2 N SD: 6.3999 c. M:-12.4841 c. 44: 4 4 3 4 3 3 3 3 3 2 3 2 3 2 2 N SD: 6.0125 c. M:-11.3642 c. 46: 4 4 4 3 4 3 3 3 3 3 2 3 2 3 2 N SD: 6.1242 c. M: 12.9325 c. 49: 5 4 4 4 3 4 3 3 3 3 3 3 2 3 2 N SD: 7.0545 c. M:-12.6332 c. 51: 4 5 4 4 4 3 4 3 3 3 3 3 3 2 3 N SD: 7.5498 c. M: 15.1487 c. 52: 5 4 5 4 3 4 4 3 3 3 3 3 3 2 3 N SD: 6.3371 c. M:-10.7658 c. 54: 5 5 4 4 4 4 4 3 3 4 3 3 3 2 3 N SD: 5.9600 c. M:-9.4366 c. 56: 5 5 4 5 4 4 4 3 4 3 3 3 3 3 3 N SD: 5.2481 c. M: 11.2541 c. 57: 5 5 5 4 4 4 4 4 3 4 3 3 3 3 3 N SD: 5.2437 c. M: 9.2704 c. 58: 5 5 5 5 4 4 4 4 3 4 3 3 3 3 3 N SD: 4.8680 c. M:-8.7567 c. 62: 6 5 5 5 5 4 4 4 4 4 3 4 3 3 3 N SD: 4.8432 c. M:-9.9948 c. 64: 6 5 6 5 4 5 4 4 4 4 4 3 4 3 3 N SD: 4.8644 c. M:-8.1113 c. 66: 6 6 5 5 5 5 4 4 5 3 4 4 3 4 3 N SD: 4.8321 c. M:-8.0786 c. 67: 6 6 5 6 5 4 5 4 4 4 4 4 3 4 3 N SD: 4.4539 c. M:-7.7414 c. 68: 6 6 6 5 5 5 4 5 4 4 4 4 3 4 3 N SD: 4.0772 c. M:-7.8221 c. 73: 7 6 6 6 5 5 5 5 4 5 4 4 4 3 4 N SD: 3.9468 c. M:-6.4850 c. 77: 7 7 6 6 6 5 5 5 5 5 4 4 4 4 4 N SD: 3.1213 c. M:-7.0961 c. 80: 7 7 7 6 6 6 5 5 5 5 4 5 4 4 4 N SD: 3.1701 c. M:-6.8869 c. 83: 8 7 7 6 6 6 6 5 5 5 5 4 5 4 4 N SD: 3.4739 c. M:-6.3237 c. 85: 8 7 7 7 6 6 6 5 5 5 5 5 4 5 4 N SD: 3.3050 c. M: 5.7807 c. 86: 8 7 7 7 6 6 6 6 5 5 5 5 4 5 4 N SD: 3.2457 c. M: 5.4289 c. 95: 9 8 8 7 7 7 6 6 6 6 5 5 5 5 5 N SD: 2.8677 c. M: 5.0717 c. 98: 9 8 8 8 7 7 7 6 6 6 5 6 5 5 5 N SD: 2.9294 c. M: 6.1942 c. 99: 9 9 8 7 8 7 6 7 6 6 5 6 5 5 5 N SD: 3.1187 c. M: 4.6352 c. 100: 9 9 8 8 7 7 7 6 6 6 6 6 5 5 5 N SD: 2.7140 c. M: 5.4536 c. 106: 10 9 9 8 8 7 7 7 7 6 6 6 5 6 5 N SD: 2.9333 c. M:-5.1326 c. 108: 10 9 9 8 8 8 7 7 7 6 6 6 6 5 6 N SD: 3.2330 c. M: 6.8462 c. 109: 10 9 9 9 8 7 8 7 7 6 6 6 6 6 5 N SD: 2.8831 c. M: 5.0624 c. 110: 10 10 9 8 8 8 7 7 7 7 6 6 6 6 5 N SD: 2.7753 c. M:-4.7198 c. 116: 11 10 9 9 9 8 8 7 7 7 7 6 6 6 6 N SD: 2.3753 c. M:-3.6255 c. 119: 11 10 10 9 9 8 8 8 7 7 7 7 6 6 6 N SD: 1.9211 c. M: 3.4008 c. 139: 13 12 11 11 10 10 9 9 9 8 8 8 7 7 7 N SD: 1.5158 c. M:-3.2187 c. 142: 13 12 12 11 10 10 10 9 9 8 8 8 8 7 7 N SD: 1.7748 c. M: 3.0903 c. 158: 14 14 13 12 12 11 11 10 10 9 9 9 8 8 8 N SD: 1.6209 c. M: 3.4966 c. 162: 15 14 13 13 12 11 11 10 10 10 9 9 9 8 8 N SD: 1.5116 c. M:-2.7832 c. 168: 15 15 14 13 12 12 11 11 10 10 10 9 9 9 8 N SD: 1.5892 c. M: 2.7201 c. 175: 16 15 14 14 13 12 12 11 11 10 10 10 9 9 9 N SD: 1.7358 c. M: 3.0753 c. 176: 16 15 15 13 13 13 12 11 11 10 10 10 9 9 9 N SD: 1.7172 c. M:-2.7964 c. 177: 16 16 14 14 13 12 12 12 10 11 10 10 9 9 9 N SD: 1.7046 c. M:-3.1799 c. 178: 16 16 14 14 13 13 12 11 11 11 10 10 9 9 9 N SD: 1.5289 c. M:-2.5245 c. 181: 16 16 15 14 13 13 12 12 11 11 10 10 10 9 9 N SD: 1.5175 c. M: 3.7368 c. 187: 17 16 16 14 14 13 13 12 11 11 11 10 10 10 9 N SD: 1.4503 c. M:-2.5230 c. 196: 18 17 16 15 15 13 14 12 12 12 11 11 10 10 10 N SD: 1.3655 c. M:-2.6636 c. 197: 18 17 16 15 15 14 13 13 12 12 11 11 10 10 10 N SD: 1.2518 c. M: 2.6977 c. 199: 18 17 17 15 15 14 13 13 12 12 11 11 11 10 10 N SD: 1.4046 c. M: 2.5218 c. 204: 19 17 17 16 15 14 14 13 13 12 11 12 10 11 10 N SD: 1.4429 c. M: 2.4129 c. 207: 19 18 17 16 15 15 14 13 13 12 12 11 11 11 10 N SD: 1.1698 c. M:-2.3250 c. 219: 20 19 18 17 16 15 15 14 14 13 12 12 12 11 11 N SD: 1.0555 c. M: 2.3283 c. 228: 21 20 18 18 17 16 15 15 14 13 13 13 12 12 11 N SD: 1.1659 c. M:-1.9955 c. 238: 22 20 20 18 18 17 16 15 15 14 13 13 13 12 12 N SD: 1.3458 c. M:-1.9763 c. 240: 22 21 19 19 18 17 16 15 15 14 14 13 13 12 12 N SD: 1.0452 c. M:-2.1159 c. 241: 22 21 20 18 18 17 16 16 15 14 14 13 13 12 12 N SD: 1.0669 c. M:-1.8157 c. 249: 23 21 21 19 18 18 17 16 15 15 14 14 13 13 12 N SD: 1.1503 c. M: 1.7302 c. 253: 23 22 21 19 19 18 17 16 16 15 14 14 13 13 13 N SD: 1.1392 c. M: 2.2133 c. 255: 23 22 21 20 19 18 17 16 16 15 15 14 13 13 13 N SD: 1.1235 c. M: 1.8449 c. 258: 23 23 21 20 19 18 17 17 16 15 15 14 14 13 13 N SD: 1.2178 c. M: 2.8786 c. 259: 24 22 21 20 19 19 17 17 16 15 15 14 14 13 13 N SD: 1.0478 c. M: 2.1563 c. 264: 24 23 22 20 20 18 18 17 16 16 15 14 14 14 13 N SD: 1.0317 c. M:-1.9800 c. 277: 25 24 23 21 21 19 19 18 17 16 16 15 15 14 14 N SD: 1.0721 c. M: 1.8794 c. 279: 26 24 22 22 21 19 19 18 17 17 16 15 15 14 14 N SD: 1.0472 c. M: 2.0200 c. 280: 26 24 23 22 20 20 19 18 17 17 16 15 15 14 14 N SD: 1.2089 c. M:-2.1805 c. 281: 26 24 23 22 21 19 19 18 18 16 16 16 15 14 14 N SD: 1.0551 c. M:-1.9028 c. 282: 26 24 23 22 21 20 19 18 17 17 16 16 15 14 14 N SD: 0.9022 c. M:-1.7669 c. 297: 27 26 24 23 22 21 20 19 18 18 17 16 16 15 15 N SD: 0.6908 c. M: 1.5597 c. 305: 28 26 25 24 22 22 20 20 19 18 17 17 16 16 15 N SD: 0.8078 c. M: 1.5040 c. 308: 28 27 25 24 23 21 21 20 19 18 18 17 16 16 15 N SD: 0.8172 c. M:-1.4802 c. 320: 29 28 26 25 24 22 22 20 20 19 18 18 17 16 16 N SD: 0.7842 c. M:-1.5463 c. 324: 30 28 26 25 24 23 22 21 20 19 18 18 17 17 16 N SD: 0.8914 c. M:-1.3318 c. 326: 30 28 27 25 24 23 22 21 20 19 19 18 17 17 16 N SD: 0.5115 c. M: 1.0691 c. 403: 37 35 33 31 30 28 27 26 25 24 23 22 21 21 20 N SD: 0.4955 c. M: 1.0341 c. 436: 40 38 35 34 32 31 29 28 27 26 25 24 23 22 22 N SD: 0.5393 c. M: 1.0102 c. 450: 41 39 37 35 33 32 30 29 28 26 26 25 24 23 22 N SD: 0.5829 c. M:-0.9548 c. 455: 42 39 37 36 33 32 31 29 28 27 26 25 24 23 23 N SD: 0.5531 c. M:-1.2368 c. 465: 43 40 38 36 34 33 31 30 29 27 27 25 25 24 23 N SD: 0.5291 c. M: 1.0862 c. 488: 45 42 40 38 36 34 33 31 30 29 28 27 26 25 24 N SD: 0.5031 c. M:-0.8424 c. 489: 45 42 40 38 36 34 33 32 30 29 28 27 26 25 24 N SD: 0.4802 c. M: 1.0452 c. 499: 46 43 41 38 37 35 34 32 31 29 29 27 27 25 25 N SD: 0.5664 c. M: 0.8108 c. 501: 46 43 41 39 37 35 34 32 31 30 28 28 26 26 25 N SD: 0.4631 c. M: 1.1021 c. 527: 48 46 43 41 39 37 35 34 33 31 30 29 28 27 26 N SD: 0.4337 c. M:-0.8691 c. 545: 50 47 45 42 40 38 37 35 34 32 31 30 29 28 27 N SD: 0.3747 c. M: 0.8605 c. 565: 52 49 46 44 41 40 38 36 35 34 32 31 30 29 28 N SD: 0.4468 c. M:-0.7778 c. 566: 52 49 46 44 42 40 38 36 35 34 32 31 30 29 28 N SD: 0.5000 c. M:-1.0533 c. 567: 52 49 46 44 42 40 38 37 35 33 33 31 30 29 28 N SD: 0.4924 c. M:-0.8739 c. 569: 52 49 47 44 42 40 38 37 35 34 32 31 31 29 28 N SD: 0.4466 c. M: 0.8784 c. 578: 53 50 47 45 43 40 39 37 36 34 33 32 31 29 29 N SD: 0.4418 c. M:-0.7043 c. 584: 53 51 48 45 43 41 39 38 36 35 33 32 31 30 29 N SD: 0.4292 c. M: 1.0395 c. 602: 55 52 49 47 44 43 40 39 37 36 34 33 32 31 30 N SD: 0.4917 c. M: 0.9740 c. 605: 55 53 49 47 45 42 41 39 37 36 35 33 32 31 30 N SD: 0.4110 c. M: 0.8613 c. 623: 57 54 51 48 46 44 42 40 38 37 36 34 33 32 31 N SD: 0.3163 c. M: 0.6933 c. 662: 61 57 54 51 49 47 44 43 41 39 38 36 35 34 33 N SD: 0.3734 c. M: 0.5993 c. 667: 61 58 54 52 49 47 45 43 41 40 38 36 36 34 33 N SD: 0.3707 c. M:-0.6529 c. 685: 63 59 56 53 51 48 46 44 42 41 39 38 36 35 34 N SD: 0.3067 c. M:-0.6933 c. 723: 66 63 59 56 53 51 49 46 45 43 41 40 38 37 36 N SD: 0.3114 c. M:-0.4658 c. 742: 68 64 61 57 55 52 50 48 46 44 42 41 39 38 37 N SD: 0.3106 c. M: 0.5201 c. 747: 68 65 61 58 55 53 50 48 46 44 43 41 40 38 37 N SD: 0.3080 c. M: 0.7219 c. 762: 70 66 62 59 56 54 51 49 47 45 44 42 40 39 38 N SD: 0.2954 c. M: 0.5344 c. 785: 72 68 64 61 58 55 53 50 49 46 45 43 42 40 39 N SD: 0.2633 c. M:-0.4539 c. 824: 76 71 67 64 61 58 55 53 51 49 47 45 44 42 41 N SD: 0.2650 c. M:-0.6547 c. 827: 76 71 68 64 61 58 56 53 51 49 47 46 44 42 41 N SD: 0.2562 c. M:-0.5395 c. 842: 77 73 69 65 62 59 57 54 52 50 48 46 45 43 42 N SD: 0.2784 c. M: 0.5773 c. 871: 80 75 71 68 64 61 59 56 54 51 50 48 46 45 43 N SD: 0.2630 c. M: 0.4914 c. 904: 83 78 74 70 67 63 61 58 56 54 51 50 48 46 45 N SD: 0.2333 c. M:-0.5162 c. 909: 83 79 74 71 67 64 61 58 56 54 52 50 48 47 45 N SD: 0.3093 c. M: 0.4527 c. 910: 83 79 74 71 67 64 61 59 56 54 52 50 48 47 45 N SD: 0.2535 c. M: 0.5587 c. 951: 87 82 78 74 70 67 64 61 59 56 54 53 50 49 47 N SD: 0.2446 c. M: 0.4320 c. 982: 90 85 80 76 73 69 66 63 61 58 56 54 52 50 49 N SD: 0.2254 c. M:-0.4465 c. 990: 91 85 81 77 73 70 66 64 61 59 56 55 52 51 49 N SD: 0.2413 c. M:-0.4062 c. 993: 91 86 81 77 73 70 67 64 61 59 57 54 53 51 49 N SD: 0.2066 c. M:-0.4774 c. 1034: 95 89 85 80 76 73 69 67 64 61 59 57 55 53 51 N SD: 0.2246 c. M: 0.3873 c. 1090: 100 94 89 85 80 77 73 70 67 65 62 60 58 56 54 N SD: 0.2236 c. M: 0.5163 c. 1111: 102 96 91 86 82 78 75 71 69 66 63 61 59 57 55 N SD: 0.2291 c. M:-0.4706 c. 1112: 102 96 91 86 82 78 75 72 68 66 64 61 59 57 55 N SD: 0.2176 c. M: 0.4240 c. 1124: 103 97 92 87 83 79 76 72 69 67 64 62 60 57 56 N SD: 0.2106 c. M: 0.4415 c. 1144: 105 99 93 89 84 81 77 73 71 68 65 63 61 58 57 N SD: 0.2272 c. M: 0.3555 c. 1150: 105 100 94 89 85 81 77 74 71 68 66 63 61 59 57 N SD: 0.1710 c. M: 0.4087 c. 1197: 110 103 98 93 88 84 81 77 74 71 68 66 63 62 59 N SD: 0.2211 c. M:-0.3282 c. 1212: 111 105 99 94 89 86 81 78 75 72 69 67 64 62 60 N SD: 0.2211 c. M:-0.4864 c. 1230: 113 106 101 95 91 86 83 79 76 73 70 68 65 63 61 N SD: 0.1673 c. M:-0.3824 c. 1248: 114 108 102 97 92 88 84 80 77 74 71 69 66 64 62 N SD: 0.1747 c. M: 0.3608 c. 1298: 119 112 106 101 96 91 87 84 80 77 74 71 69 67 64 N SD: 0.1755 c. M:-0.3090 c. 1331: 122 115 109 103 98 94 89 86 82 79 76 73 71 68 66 N SD: 0.1209 c. M: 0.2684 c. 1636: 150 141 134 127 121 115 110 105 101 97 93 90 87 84 81 N SD: 0.1419 c. M:-0.2515 c. 1639: 150 142 134 127 121 115 110 106 101 97 94 90 87 84 81 N SD: 0.1404 c. M:-0.2431 c. 1651: 151 143 135 128 122 116 111 106 102 98 94 91 88 84 82 N SD: 0.1218 c. M:-0.3306 c. 1737: 159 150 142 135 128 122 117 112 107 103 99 96 92 89 86 N SD: 0.1320 c. M: 0.2243 c. 1775: 163 153 145 138 131 125 119 114 110 105 101 98 94 91 88 N SD: 0.1220 c. M:-0.2344 c. 1832: 168 158 150 142 135 129 123 118 113 109 104 101 97 94 91 N SD: 0.1112 c. M: 0.2119 c. 1977: 181 171 162 153 146 139 133 127 122 117 113 109 105 101 98 N SD: 0.1038 c. M:-0.2019 c. 2016: 185 174 165 156 149 142 135 130 124 120 115 111 107 103 100 N SD: 0.1073 c. M:-0.1848 c. 2021: 185 175 165 157 149 142 136 130 125 120 115 111 107 104 100 N SD: 0.1070 c. M:-0.2605 c. 2060: 189 178 168 160 152 145 138 133 127 122 118 113 109 106 102 N SD: 0.0969 c. M: 0.1723 c. 2140: 196 185 175 166 158 150 144 138 132 127 122 118 113 110 106 N SD: 0.0895 c. M: 0.2027 c. 2398: 220 207 196 186 177 169 161 154 148 142 137 132 127 123 119 N SD: 0.0801 c. M:-0.1900 c.
FIT/HARMONIC
1 x x x x x x x x x x x x x x 2 S SD: 54.9644 cents 2 x x x x x x x 3 x x x x x x 4 S SD: 27.4822 cents 3 x x x x 4 x x x x x 5 x x x 6 S SD: 21.6716 cents 4 x x x 5 x x x 6 x x x 7 x x 8 S SD: 13.7411 cents 5 x x 6 x x 7 x x x 8 x x 9 x 10 S SD: 14.4039 cents 6 x x 7 x 8 x x 9 x x 10 x 11 x 12 S SD: 12.4246 cents 7 x 8 x x 9 x 10 x 11 x 12 x x 13:14 S SD: 11.3120 cents 8 x 9 x 10 x 11 x 12 x 13 x 14 x 15:16 S SD: 6.8706 cents 9 x 10 x 11:12 x 13 x 14 x 15:16 x 17 x S SD: 8.1180 cents 10 x 11:12 x 13:14 x 15 x 16:17 x 18:19 x S SD: 7.5710 cents 11:12 x 13:14 x 15:16 x 17:18 x 19:20 x 21 S SD: 7.3847 cents 12:13 x 14:15:16 x 17:18:19 x 20:21:22 x 23 S SD: 6.5437 cents 13:14:15 x 16:17:18:19 x 20:21:22:23 x 24:25 S SD: 6.6106 cents 14:15:16:17 x 18:19:20:21:22:23:24 x 25:26:27 S SD: 6.2249 cents 15:16:17:18:19:20:21:22 x 23:24:25:26:27:28:29 S SD: 5.8588 cents 16:17:18:19:20:21:22:23:24:25:26:27:28:29:30:31 H SD: 0.0000 cents