Scala analysis: sparschuh1999
Sparschuh's 1999 interpetation of J.S. Bach's 1722 WTC squiggles
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 132/125 94.331802 2: 28/25 196.198479 middle second 3: 297/250 298.241803 4: 157/125 394.603757 5: 667/500 498.910400 6: 176/125 592.376801 7: 187/125 697.332210 8: 198/125 796.286803 9: 42/25 898.153480 quasi-equal major sixth 10: 89/50 998.252689 11: 47/25 1092.879194 12: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 50/47 107.1208 1: 132/125 94.3318 2: 35/33 101.8667 3: 297/280 102.0433 4: 314/297 96.3620 5: 667/628 104.3066 6: 704/667 93.4664 7: 17/16 104.9554 17th harmonic 8: 18/17 98.9546 Arabic lute index finger 9: 35/33 101.8667 10: 89/84 100.0992 quasi-equal semitone 11: 94/89 94.6265 12: 50/47 107.1208
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 704/667 93.466 cents 1: 1 132/125 94.332 cents 1: 1 94/89 94.627 cents 1: 1 314/297 96.362 cents 1: 1 18/17 98.955 cents Arabic lute index finger 1: 1 89/84 100.099 cents quasi-equal semitone 1: 2 35/33 101.867 cents 1: 1 297/280 102.043 cents 1: 1 667/628 104.307 cents 1: 1 17/16 104.955 cents 17th harmonic 1: 1 50/47 107.121 cents 2: 1 47/42 194.726 cents 2: 1 28/25 196.198 cents middle second 2: 1 176/157 197.773 cents 2: 1 157/140 198.405 cents 2: 1 748/667 198.422 cents 2: 1 667/594 200.669 cents 2: 1 210/187 200.821 cents 2: 1 264/235 201.453 cents 2: 1 100/89 201.747 cents 2: 1 445/396 201.966 cents 2: 2 9/8 203.910 cents major whole tone 3: 1 32/27 294.135 cents Pythagorean minor third 3: 1 528/445 296.079 cents 3: 1 235/198 296.592 cents 3: 1 792/667 297.376 cents 3: 1 297/250 298.242 cents 3: 1 157/132 300.272 cents 3: 1 445/374 300.920 cents 3: 1 25/21 301.847 cents BP second, quasi-equal minor third 3: 1 667/560 302.712 cents 3: 1 187/157 302.728 cents 3: 1 56/47 303.319 cents 3: 1 105/88 305.777 cents 4: 1 157/125 394.604 cents 4: 1 235/187 395.547 cents 4: 2 44/35 396.178 cents 4: 1 112/89 397.946 cents 4: 1 34/27 399.090 cents septendecimal major third 4: 1 840/667 399.243 cents 4: 1 198/157 401.683 cents 4: 1 125/99 403.713 cents 4: 1 667/528 404.579 cents 4: 1 297/235 405.363 cents 4: 1 445/352 405.876 cents 5: 4 4/3 498.045 cents perfect fourth 5: 1 667/500 498.910 cents 5: 1 890/667 499.342 cents 5: 1 594/445 499.989 cents 5: 1 235/176 500.502 cents 5: 1 187/140 501.134 cents 5: 1 314/235 501.725 cents 5: 1 250/187 502.668 cents 5: 1 210/157 503.550 cents 6: 1 176/125 592.377 cents 6: 1 940/667 593.969 cents 6: 1 628/445 596.351 cents 6: 1 24/17 597.000 cents 1st septendecimal tritone 6: 2 140/99 599.912 cents quasi-equal tritone 6: 2 99/70 600.088 cents 2nd quasi-equal tritone 6: 1 17/12 603.000 cents 2nd septendecimal tritone 6: 1 445/314 603.649 cents 6: 1 667/470 606.031 cents 6: 1 125/88 607.623 cents 7: 1 157/105 696.450 cents 7: 1 187/125 697.332 cents 7: 1 235/157 698.275 cents 7: 1 280/187 698.866 cents 7: 1 352/235 699.498 cents 7: 1 445/297 700.011 cents 7: 1 667/445 700.658 cents 7: 1 1000/667 701.090 cents 7: 4 3/2 701.955 cents perfect fifth 8: 1 704/445 794.124 cents 8: 1 470/297 794.637 cents 8: 1 1056/667 795.421 cents 8: 1 198/125 796.287 cents 8: 1 157/99 798.317 cents 8: 1 667/420 800.757 cents 8: 1 27/17 800.910 cents septendecimal minor sixth 8: 1 89/56 802.054 cents 8: 2 35/22 803.822 cents 8: 1 374/235 804.453 cents 8: 1 250/157 805.396 cents 9: 1 176/105 894.223 cents 9: 1 47/28 896.681 cents 9: 1 314/187 897.272 cents 9: 1 1120/667 897.288 cents 9: 1 42/25 898.153 cents quasi-equal major sixth 9: 1 748/445 899.080 cents 9: 1 264/157 899.728 cents 9: 1 500/297 901.758 cents 9: 1 667/396 902.624 cents 9: 1 396/235 903.408 cents 9: 1 445/264 903.921 cents 9: 1 27/16 905.865 cents Pythagorean major sixth 10: 2 16/9 996.090 cents Pythagorean minor seventh 10: 1 792/445 998.034 cents 10: 1 89/50 998.253 cents 10: 1 235/132 998.547 cents 10: 1 187/105 999.179 cents 10: 1 1188/667 999.331 cents 10: 1 667/374 1001.578 cents 10: 1 280/157 1001.595 cents 10: 1 157/88 1002.227 cents 10: 1 25/14 1003.802 cents middle minor seventh 10: 1 84/47 1005.274 cents 11: 1 47/25 1092.879 cents 11: 1 32/17 1095.045 cents 17th subharmonic 11: 1 1256/667 1095.693 cents 11: 1 560/297 1097.957 cents 11: 2 66/35 1098.133 cents 11: 1 168/89 1099.901 cents quasi-equal major seventh 11: 1 17/9 1101.045 cents septendecimal major seventh 11: 1 297/157 1103.638 cents 11: 1 89/47 1105.373 cents 11: 1 125/66 1105.668 cents 11: 1 667/352 1106.534 cents Highest number of different intervals for one interval class: 12 Average number of different intervals per interval class: 10.72727 = 118/11
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 94.3 196.2 298.2 394.6 498.9 592.4 697.3 796.3 898.2 998.3 1092.9 1200.0 94.3 : 101.9 203.9 300.3 404.6 498.0 603.0 702.0 803.8 903.9 998.5 1105.7 1200.0 196.2 : 102.0 198.4 302.7 396.2 501.1 600.1 702.0 802.1 896.7 1003.8 1098.1 1200.0 298.2 : 96.4 200.7 294.1 399.1 498.0 599.9 700.0 794.6 901.8 996.1 1098.0 1200.0 394.6 : 104.3 197.8 302.7 401.7 503.5 603.6 698.3 805.4 899.7 1001.6 1103.6 1200.0 498.9 : 93.5 198.4 297.4 399.2 499.3 594.0 701.1 795.4 897.3 999.3 1095.7 1200.0 592.4 : 105.0 203.9 305.8 405.9 500.5 607.6 702.0 803.8 905.9 1002.2 1106.5 1200.0 697.3 : 99.0 200.8 300.9 395.5 502.7 597.0 698.9 800.9 897.3 1001.6 1095.0 1200.0 796.3 : 101.9 202.0 296.6 403.7 498.0 599.9 702.0 798.3 902.6 996.1 1101.0 1200.0 898.2 : 100.1 194.7 301.8 396.2 498.0 600.1 696.5 800.8 894.2 999.2 1098.1 1200.0 998.3 : 94.6 201.7 296.1 397.9 500.0 596.4 700.7 794.1 899.1 998.0 1099.9 1200.0 1092.9: 107.1 201.5 303.3 405.4 501.7 606.0 699.5 804.5 903.4 1005.3 1105.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 93.4664 .. 107.1208 cents 16675/16544, 13.6544 cents 704/667, 93.4664 cents 2: 194.7257 .. 203.9100 cents 189/188, 9.1843 cents 2209/2100, 87.6049 cents 3: 294.1350 .. 305.7767 cents 2835/2816, 11.6417 cents 256/243, 90.2250 cents 4: 394.6038 .. 405.8759 cents 55625/55264, 11.2721 cents 13816/13125, 88.8271 cents 5: 498.0450 .. 503.5497 cents 315/314, 5.5047 cents 1408/1335, 92.1691 cents 6: 592.3768 .. 607.6232 cents 15625/15488, 15.2464 cents 13816/13125, 88.8271 cents 7: 696.4503 .. 701.9550 cents 315/314, 5.5047 cents 13816/13125, 88.8271 cents 8: 794.1241 .. 805.3962 cents 55625/55264, 11.2721 cents 1408/1335, 92.1691 cents 9: 894.2233 .. 905.8650 cents 2835/2816, 11.6417 cents 13816/13125, 88.8271 cents 10: 996.0900 .. 1005.2743 cents 189/188, 9.1843 cents 256/243, 90.2250 cents 11: 1092.8792 .. 1106.5336 cents 16675/16544, 13.6544 cents 2209/2100, 87.6049 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 704/667, 93.4664 cents, class 1 Average step (divided formal octave): 100.0000 cents Largest one step interval : 50/47, 107.1208 cents Average / Smallest step : 1.069903 Largest / Average step : 1.071208 Largest / Smallest step : 1.146089 Median interval of one step : 100.98294 cents, amount: 0 Most common interval of one step : 35/33, 101.8667 cents, amount: 2 Least squares average step : 99.61212 cents, oct.: 1195.34550 cents Scale is strictly proper Step pattern alph. order: ABCDEFGHBIJK Step pattern size order : BGHDIAJEGFCK Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 87.60491 cents Scale diversity : 1.082134 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.901866 Rothenberg efficiency : 0.185185 redundancy: 0.814815 Efficiency x scale size : 2.222222 Number of different interval sizes : 118 = 10.72727 / class Number of one step interval sizes : 11 Highest interval variety : 12 Mean interval variety : 10.72727 = 118/11 Median interval variety : 9 Lowest interval variety : 9 Smallest interval difference : 104720/104719, 0.0165 cents Most common intervals : 4/3, 498.0450 cents & inv., amount: 4 Most common triad is 0.0 498.045 701.955 cents, amount: 2 Number of recognisable fifths : 12, average 700.0000 cents Scale is a well-temperament. It has 9 different sizes of fifth Best fifths form a closed circle Length of longest harmonic part : 2 at degree 6 Formal octave complements present : 1 = 8.3333% Limited transpositions with margin 15.2464 cents: 1 2 3 4 5 6 7 8 9 10 11 Limited inverse transpositions with margin 13.6544 cents: 1 2 3 4 5 6 7 8 9 10 11 -- Rational properties -- Prime limit : 157 Odd number limit : 667 (O: 667 U: 667) Highest odd numerator or denominator: 667 Scale harmonicity : 0.005321 Fundamental : 1/500, -8.9658 octaves, 0.5233 Hz. Guide tone : too high to compute Exponens Consonantiae : 1.238531E+17, 56.78141 octaves Euler's gradus suavitatis : 397 Sum of Mann's harmonic distance : 1761.5, average 146.79167 Mersenne's string divisions : too high to compute Sum of van Prooijen's expressibility: 22.47272, average 1.87273 Sum of Tenney's harmonic distance : 44.89455, average 3.74121 Vogel's harmonic complexity : 43.16667 Wille's k value : 333 Wilson's harmonic complexity : 404 Rectangular lattice diameter : 14 Triangular lattice diameter : 4 Lattice compactness : 236.27532, average 3.02917 Lattice compactness (without 2's) : 168.51148, average 2.16040 Number of different primes : 11 Prime exponents' range, average, count, tones@limit: 2: -2 .. 4 0.58333 15 1 3: 0 .. 3 0.58333 7 5: -3 .. 0 -2.41667 29 7: 0 .. 1 0.16667 2 2 11: 0 .. 1 0.41667 5 4 17: 0 .. 1 0.08333 1 1 23: 0 .. 1 0.08333 1 29: 0 .. 1 0.08333 1 1 47: 0 .. 1 0.08333 1 1 89: 0 .. 1 0.08333 1 1 157: 0 .. 1 0.08333 1 1 Average exponent except 2's :-9 / 12 =-0.75000 Average absolute exponent except 2's: 49 / 12 = 4.08333 Scale is weakly epimorphic with val: <12 19 27 34 41 49 53 58 68 79 88| Scale is weakly epimorphic with val: <12 19 27 34 41 49 53 59 68 79 87| Scale is weakly epimorphic with val: <12 19 27 34 41 49 54 57 68 79 88| Scale is weakly epimorphic with val: <12 19 27 34 41 49 54 58 68 79 87| Scale is weakly epimorphic with val: <12 19 27 34 41 49 55 57 68 79 87| Scale is weakly epimorphic with val: <12 19 28 34 42 49 53 59 66 79 89| Scale is weakly epimorphic with val: <12 19 28 34 42 49 53 59 67 78 89| Scale is weakly epimorphic with val: <12 19 28 34 42 49 54 58 66 79 89| Scale is weakly epimorphic with val: <12 19 28 34 42 49 54 58 67 78 89| Scale is weakly epimorphic with val: <12 19 28 34 42 49 54 59 66 79 88| Scale is JI-epimorphic with val: <12 19 28 34 42 49 54 59 67 78 88| Scale is weakly epimorphic with val: <12 19 28 34 42 49 55 57 66 79 89| Scale is weakly epimorphic with val: <12 19 28 34 42 49 55 57 67 78 89| Scale is weakly epimorphic with val: <12 19 28 34 42 49 55 58 66 79 88| Scale is JI-epimorphic with val: <12 19 28 34 42 49 55 58 67 78 88| Scale is weakly epimorphic with val: <12 19 28 35 43 49 55 59 69 79 89|
FIT/MODE
12: 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 4.2443 c. M:-7.6232 c. Twelve-tone Chromatic (1/11-comma) 65: 5 6 5 5 6 5 6 5 6 5 5 6 SP M ME SD: 3.9855 c. M: 6.9114 c. 67: 5 6 6 5 6 5 6 5 6 6 5 6 SP M ME SD: 3.7602 c. M: 8.2271 c. Meantone Chromatic (4/25-comma) 75: 6 6 7 6 6 6 7 6 6 6 6 7 SP D3 SD: 4.2533 c. M:-6.6678 c. 77: 6 7 6 6 7 6 7 6 7 6 6 7 SP M ME SD: 3.2495 c. M:-6.3989 c. 79: 6 7 7 6 7 6 7 6 7 7 6 7 SP M ME SD: 3.0845 c. M: 6.4134 c. Meantone Chromatic (3/20-comma) 81: 6 7 7 7 7 6 7 7 7 6 7 7 SP D3 SD: 3.9574 c. M: 5.6601 c. 87: 7 7 8 7 7 7 8 7 7 7 7 8 SP D3 SD: 3.7360 c. M:-6.1161 c. 89: 7 8 7 7 8 7 8 7 8 7 7 8 SP M ME SD: 2.8267 c. M:-6.0487 c. 91: 7 8 8 7 8 7 8 7 8 8 7 8 SP M ME SD: 2.7023 c. M: 5.0780 c. Meantone Chromatic (1/7-comma), Romieu-12 97: 8 8 8 8 8 8 8 8 9 8 7 9 SP D3 SD: 3.4699 c. M:-4.9393 c. 99: 8 8 9 8 8 8 9 8 8 8 8 9 SP D3 SD: 3.4213 c. M:-5.6981 c. 100: 8 8 9 8 8 8 9 8 9 8 8 9 SP D3 SD: 3.1855 c. M: 6.9104 c. 101: 8 9 8 8 9 8 9 8 9 8 8 9 SP M ME SD: 2.6038 c. M:-5.7817 c. 103: 8 9 9 8 9 8 9 8 9 9 8 9 SP M ME SD: 2.5085 c. M:-4.6708 c. Meantone Chromatic (3/22-comma) 112: 9 9 10 9 10 8 10 9 10 9 9 10 SP D3 SD: 2.4593 c. M:-4.6610 c. 113: 9 10 9 9 10 9 10 9 10 9 9 10 SP M ME SD: 2.5065 c. M:-5.5714 c. 115: 9 10 10 9 10 9 10 9 10 10 9 10 SP M ME SD: 2.4321 c. M:-4.3669 c. Meantone Chromatic (3/23-comma), Preston-12 124: 10 10 11 10 11 9 11 10 11 10 10 11 SP D3 SD: 2.1887 c. M:-4.3154 c. 125: 10 11 10 10 11 10 11 10 11 10 10 11 SP M ME SD: 2.4848 c. M:-5.4015 c. 127: 10 11 11 10 11 10 11 10 11 11 10 11 SP M ME SD: 2.4255 c. M:-4.1204 c. Meantone Chromatic (1/8-comma) 132: 10 12 11 10 12 10 12 11 11 11 10 12 SP T3 SD: 2.5413 c. M:-3.8015 c. 134: 10 12 11 11 12 10 12 11 11 11 11 12 SP D3 S SD: 2.3534 c. M: 4.7796 c. 136: 11 11 12 11 12 10 12 11 12 11 11 12 SP D3 SD: 2.0356 c. M:-4.0308 c. 144: 11 13 12 11 13 11 13 12 12 12 11 13 SP T3 SD: 2.3058 c. M:-3.8015 c. 146: 11 13 12 12 13 11 13 12 12 12 12 13 SP D3 S SD: 2.0453 c. M: 3.9208 c. 148: 12 12 13 12 13 11 13 12 13 12 12 13 SP D3 SD: 1.9676 c. M:-3.7923 c. 152: 12 13 13 12 13 12 13 13 13 12 12 14 SP D3 SD: 1.8790 c. M: 3.5158 c. 154: 12 13 13 12 14 12 13 13 13 13 12 14 SP D3 S SD: 2.1954 c. M: 4.9934 c. 155: 12 13 13 13 13 12 14 13 13 13 12 14 SP SD: 2.1714 c. M: 4.0483 c. 156: 12 14 13 12 14 12 14 13 13 13 12 14 SP T3 SD: 2.1563 c. M:-3.8015 c. 158: 12 14 13 13 14 12 14 13 13 13 13 14 SP D3 S SD: 1.8352 c. M: 3.3160 c. 164: 13 14 14 13 14 13 14 14 14 13 13 15 SP D3 SD: 1.6936 c. M: 3.1307 c. 166: 13 14 14 13 15 13 14 14 14 14 13 15 SP D3 S SD: 1.8383 c. M: 4.2423 c. 170: 13 15 14 14 15 13 15 14 14 14 14 15 SP D3 S SD: 1.7066 c. M: 2.9586 c. 176: 14 15 15 14 15 14 15 15 15 14 14 16 SP D3 SD: 1.5859 c. M: 2.7981 c. 178: 14 15 15 14 16 14 15 15 15 15 14 16 SP D3 S SD: 1.5602 c. M: 3.5925 c. 182: 14 16 15 15 16 14 16 15 15 15 15 16 SP D3 S SD: 1.6433 c. M: 2.6483 c. 188: 15 16 16 15 16 15 16 16 16 15 15 17 SP D3 SD: 1.5404 c. M: 2.5080 c. 190: 15 16 16 15 17 15 16 16 16 16 15 17 SP D3 S SD: 1.3553 c. M: 3.0248 c. 194: 15 17 16 16 17 15 17 16 16 16 16 17 SP D3 S SD: 1.6294 c. M: 2.3764 c. 200: 16 17 17 16 17 16 17 17 17 16 16 18 SP D3 SD: 1.5411 c. M: 2.2527 c. 202: 16 17 17 16 18 16 17 17 17 17 16 18 SP D3 S SD: 1.2196 c. M: 2.5245 c. 214: 17 18 18 17 19 17 18 18 18 18 17 19 SP D3 S SD: 1.1471 c. M: 2.0804 c. 219: 17 19 18 18 19 17 19 18 19 18 17 20 SP SD: 1.3227 c. M: 2.4682 c. 225: 18 19 19 18 20 17 20 18 19 19 18 20 SP SD: 1.3026 c. M:-2.4229 c. 226: 18 19 19 18 20 18 19 19 19 19 18 20 SP D3 S SD: 1.1282 c. M:-2.3135 c. 231: 18 20 19 19 20 18 20 19 20 19 18 21 SP SD: 1.1337 c. M: 2.1379 c. 233: 18 20 20 19 20 18 20 20 19 20 18 21 SP SD: 1.3397 c. M: 2.0532 c. 237: 19 20 20 19 21 18 21 19 20 20 19 21 SP SD: 1.2862 c. M:-2.3554 c. 238: 19 20 20 19 21 18 21 20 20 20 19 21 SP SD: 1.1282 c. M: 2.4608 c. 239: 19 20 20 20 20 19 21 20 20 20 19 21 SP SD: 1.3354 c. M:-2.0490 c. 243: 19 21 20 20 21 19 21 20 21 20 19 22 SP SD: 0.9948 c. M: 1.9455 c. 255: 20 22 21 21 22 20 22 21 22 21 20 23 SP SD: 0.9069 c. M: 1.7712 c. 258: 20 22 22 21 22 20 23 21 22 22 20 23 SP SD: 0.9983 c. M:-1.7473 c. 267: 21 23 22 22 23 21 23 22 23 22 21 24 SP SD: 0.8680 c. M: 1.6126 c. 279: 22 24 23 23 24 22 24 23 24 23 22 25 SP SD: 0.8716 c. M:-1.6510 c. 282: 22 24 24 23 24 22 25 23 24 24 22 25 SP SD: 0.8308 c. M:-1.7473 c. 294: 23 25 25 24 25 23 26 24 25 25 23 26 SP SD: 0.8117 c. M:-1.7473 c. 306: 24 26 26 25 26 24 27 25 26 26 24 27 SP SD: 0.8280 c. M:-1.7473 c. 310: 24 27 26 25 27 24 27 26 26 26 24 28 SP SD: 0.7770 c. M: 1.4286 c. 322: 25 28 27 26 28 25 28 27 27 27 25 29 SP SD: 0.7302 c. M:-1.3170 c. 334: 26 29 28 27 29 26 29 28 28 28 26 30 SP SD: 0.7194 c. M:-1.4063 c. 346: 27 30 29 28 30 27 30 29 29 29 27 31 SP SD: 0.7390 c. M:-1.4894 c. 347: 27 30 29 28 30 27 31 28 30 29 27 31 SP SD: 0.8737 c. M:-1.2269 c. 354: 28 30 30 28 31 28 31 29 30 29 28 32 SP SD: 0.8713 c. M: 1.6425 c. 356: 28 30 30 29 31 28 31 29 30 30 28 32 SP SD: 0.8075 c. M: 1.6126 c. 358: 28 31 30 29 31 28 31 30 30 30 28 32 SP SD: 0.7812 c. M:-1.5669 c. 368: 29 31 31 30 32 29 32 30 31 31 29 33 SP SD: 0.7579 c. M: 1.5027 c. 370: 29 32 31 30 32 29 32 31 31 31 29 33 SP SD: 0.8385 c. M:-1.6394 c. 371: 29 32 31 30 32 29 33 30 32 31 29 33 SP SD: 0.7951 c. M:-1.3201 c. 377: 30 32 32 30 33 29 33 31 32 32 29 34 SP SD: 0.8021 c. M:-1.2168 c. 381: 30 32 33 30 33 30 33 32 32 32 30 34 SP SD: 0.7383 c. M: 1.2726 c. 393: 31 33 34 31 34 31 34 33 33 33 31 35 SP SD: 0.6899 c. M: 1.2005 c. 399: 31 34 34 32 35 31 35 33 34 33 31 36 SP SD: 0.6900 c. M: 1.1499 c. 405: 32 34 35 32 35 32 35 34 34 34 32 36 SP SD: 0.6674 c. M: 1.1326 c. 411: 32 35 35 33 36 32 36 34 35 34 32 37 SP SD: 0.6309 c. M:-1.1166 c. 417: 33 35 36 33 36 33 36 35 35 35 33 37 SP SD: 0.6690 c. M: 1.0687 c. 422: 33 36 36 34 36 33 37 35 36 35 33 38 SP SD: 0.6296 c. M: 1.2801 c. 423: 33 36 36 34 37 33 37 35 36 35 33 38 SP SD: 0.5973 c. M:-1.1373 c. 428: 34 36 36 35 37 33 38 35 36 36 34 38 SP SD: 0.6558 c. M: 1.0455 c. 434: 34 37 37 35 37 34 38 36 37 36 34 39 SP SD: 0.5665 c. M: 1.2145 c. 446: 35 38 38 36 38 35 39 37 38 37 35 40 SP SD: 0.5282 c. M: 1.1526 c. 458: 36 39 39 37 39 36 40 38 39 38 36 41 SP SD: 0.5154 c. M: 1.0938 c. 466: 37 39 40 37 41 36 41 38 40 39 36 42 SP SD: 0.6428 c. M: 1.0337 c. 470: 37 40 40 38 40 37 41 39 40 39 37 42 SP SD: 0.5260 c. M:-1.1409 c. 484: 38 41 41 39 42 38 42 40 41 41 38 43 SP SD: 0.5193 c. M:-0.9209 c. 496: 39 42 42 40 43 39 43 41 42 42 39 44 SP SD: 0.5029 c. M:-0.9409 c. 518: 41 44 44 41 45 41 45 43 44 43 41 46 SP SD: 0.5970 c. M: 0.8409 c. 520: 41 44 44 42 45 41 45 43 44 44 41 46 SP SD: 0.5296 c. M:-0.9781 c. 535: 42 45 46 43 46 42 47 44 45 45 42 48 SP SD: 0.5352 c. M: 1.0583 c. 547: 43 46 47 44 47 43 48 45 46 46 43 49 SP SD: 0.4903 c. M: 0.9517 c. 559: 44 47 48 45 48 44 49 46 47 47 44 50 SP SD: 0.4633 c. M: 0.8782 c. 571: 45 48 49 46 49 45 50 47 48 48 45 51 SP SD: 0.4546 c. M: 0.8368 c. 582: 46 49 50 46 51 45 51 48 50 48 46 52 SP SD: 0.5029 c. M:-0.8156 c. 583: 46 49 50 47 50 46 51 48 49 49 46 52 SP SD: 0.4631 c. M: 0.7972 c. 595: 47 50 51 48 51 47 52 49 50 50 47 53 SP SD: 0.4860 c. M: 0.7591 c. 601: 47 51 51 49 52 47 52 50 51 50 47 54 SP SD: 0.5067 c. M: 0.7376 c. 604: 47 52 51 49 52 47 53 50 51 50 48 54 SP SD: 0.4969 c. M: 0.9543 c. 606: 48 51 52 48 53 47 53 50 52 50 48 54 SP SD: 0.4566 c. M:-0.8564 c. 612: 48 52 52 49 53 48 53 51 52 51 48 55 SP SD: 0.5276 c. M: 1.2538 c. 613: 48 52 52 50 53 48 53 51 52 51 48 55 SP SD: 0.5004 c. M:-0.8285 c. 616: 48 53 52 50 53 48 54 51 52 51 49 55 SP SD: 0.4811 c. M:-0.8508 c. 618: 49 52 53 49 54 48 54 51 53 51 49 55 SP SD: 0.4570 c. M:-0.8756 c. 624: 49 53 53 50 54 49 54 52 53 52 49 56 SP SD: 0.4697 c. M: 1.1784 c. 635: 50 54 54 51 55 49 56 52 54 53 50 57 SP SD: 0.4539 c. M: 0.8807 c. 636: 50 54 54 51 55 50 55 53 54 53 50 57 SP SD: 0.4240 c. M: 1.1058 c. 647: 51 55 55 52 56 50 57 53 55 54 51 58 SP SD: 0.4152 c. M: 0.7230 c. 648: 51 55 55 52 56 51 57 53 55 54 51 58 SP SD: 0.3468 c. M:-0.8159 c. 659: 52 56 56 53 57 51 58 54 56 55 52 59 SP SD: 0.3911 c. M: 0.5710 c. 660: 52 56 56 53 57 52 58 54 56 55 52 59 SP SD: 0.3524 c. M:-0.8496 c. 740: 58 63 63 59 65 57 65 61 63 62 58 66 SP SD: 0.3469 c. M:-0.6662 c. 748: 59 63 64 60 65 58 66 61 64 62 59 67 SP SD: 0.3488 c. M: 0.5649 c. 752: 59 64 64 60 66 58 66 62 64 63 59 67 SP SD: 0.3270 c. M:-0.6835 c. 760: 60 64 65 61 66 59 67 62 65 63 60 68 SP SD: 0.3267 c. M:-0.5625 c. 764: 60 65 65 61 67 59 67 63 65 64 60 68 SP SD: 0.3211 c. M:-0.7002 c. 772: 61 65 66 62 67 60 68 63 66 64 61 69 SP SD: 0.3185 c. M:-0.5953 c. 776: 61 66 66 62 68 60 68 64 66 65 61 69 SP SD: 0.3288 c. M:-0.7164 c. 784: 62 66 67 63 68 61 69 64 67 65 62 70 SP SD: 0.3238 c. M:-0.6270 c. 788: 62 67 67 63 69 61 69 65 67 66 62 70 SP SD: 0.3480 c. M:-0.7321 c. 796: 63 67 68 64 69 62 70 65 68 66 63 71 SP SD: 0.3409 c. M:-0.6577 c. 800: 63 68 68 64 70 62 70 66 68 67 63 71 SP SD: 0.3761 c. M:-0.7473 c. 802: 63 68 68 65 69 63 70 66 68 67 63 72 SP SD: 0.3615 c. M: 0.6560 c. 812: 64 69 69 65 71 63 71 67 69 68 64 72 SP SD: 0.4103 c. M:-0.7621 c. 814: 64 69 69 66 70 64 71 67 69 68 64 73 SP SD: 0.3405 c. M: 0.6303 c. 826: 65 70 70 67 71 65 72 68 70 69 65 74 SP SD: 0.3311 c. M: 0.6053 c. 827: 65 70 71 66 72 64 73 68 70 69 65 74 SP SD: 0.3277 c. M:-0.6699 c. 839: 66 71 72 67 73 65 74 69 71 70 66 75 SP SD: 0.3253 c. M:-0.6855 c. 873: 69 74 74 70 76 68 76 72 74 73 69 78 SP SD: 0.3144 c. M: 0.5590 c. 881: 69 75 75 71 76 69 77 73 74 74 69 79 SP SD: 0.3282 c. M: 0.5371 c. 885: 70 75 75 71 77 69 77 73 75 74 70 79 SP SD: 0.3135 c. M:-0.5835 c. 886: 70 75 75 71 77 69 78 73 75 74 70 79 SP SD: 0.3099 c. M: 0.5032 c. 888: 70 75 76 71 77 69 78 73 76 74 70 79 SP SD: 0.3233 c. M:-0.4952 c. 897: 71 76 76 72 78 70 78 74 76 75 71 80 SP SD: 0.3226 c. M:-0.6515 c. 898: 71 76 76 72 78 70 79 74 76 75 71 80 SP SD: 0.3013 c. M:-0.5457 c. 916: 72 78 78 73 80 71 80 76 78 76 72 82 SP SD: 0.2967 c. M:-0.5365 c. 918: 72 78 78 74 80 71 80 76 78 77 72 82 SP SD: 0.2862 c. M: 0.6002 c. 930: 73 79 79 75 81 72 81 77 79 78 73 83 SP SD: 0.2702 c. M: 0.5580 c. 942: 74 80 80 76 82 73 82 78 80 79 74 84 SP SD: 0.2652 c. M: 0.5169 c. 954: 75 81 81 77 83 74 83 79 81 80 75 85 SP SD: 0.2711 c. M:-0.4894 c. 965: 76 82 82 77 84 75 85 79 82 81 76 86 SP SD: 0.3012 c. M: 0.4597 c. 966: 76 82 82 78 84 75 84 80 82 81 76 86 SP SD: 0.2864 c. M:-0.5051 c. 977: 77 83 83 78 85 76 86 80 83 82 77 87 SP SD: 0.2910 c. M: 0.3810 c. 986: 77 84 84 79 86 77 86 81 84 82 78 88 SP SD: 0.2649 c. M: 0.6198 c. 989: 78 84 84 79 86 77 87 81 84 83 78 88 SP SD: 0.2902 c. M:-0.3637 c. 998: 78 85 85 80 87 78 87 82 85 83 79 89 SP SD: 0.2470 c. M: 0.5442 c. 1010: 79 86 86 81 88 79 88 83 86 84 80 90 SP SD: 0.2394 c. M:-0.4945 c. 1017: 80 86 87 81 89 79 89 84 86 85 80 91 SP SD: 0.2296 c. M: 0.5035 c. 1029: 81 87 88 82 90 80 90 85 87 86 81 92 SP SD: 0.2114 c. M: 0.4347 c. 1041: 82 88 89 83 91 81 91 86 88 87 82 93 SP SD: 0.2045 c. M: 0.3674 c. 1053: 83 89 90 84 92 82 92 87 89 88 83 94 SP SD: 0.2092 c. M:-0.3337 c. 1058: 83 90 90 85 92 82 93 87 90 88 84 94 SP SD: 0.2076 c. M:-0.5045 c. 1065: 84 90 91 85 93 83 93 88 90 89 84 95 SP SD: 0.2239 c. M:-0.3497 c. 1070: 84 91 91 86 93 83 94 88 91 89 84 96 SP SD: 0.2085 c. M: 0.5427 c. 1082: 85 92 92 87 94 84 95 89 92 90 85 97 SP SD: 0.1922 c. M: 0.4578 c. 1094: 86 93 93 88 95 85 96 90 93 91 86 98 SP SD: 0.1871 c. M: 0.3746 c. 1106: 87 94 94 89 96 86 97 91 94 92 87 99 SP SD: 0.1934 c. M:-0.3330 c. 1118: 88 95 95 90 97 87 98 92 95 93 88 100 SP SD: 0.2094 c. M:-0.3873 c. 1130: 89 96 96 91 98 88 99 93 96 94 89 101 SP SD: 0.2325 c. M:-0.4405 c. 1198: 94 102 102 96 104 93 105 99 102 100 94 107 SP SD: 0.2228 c. M:-0.4118 c. 1207: 95 102 103 97 105 94 105 100 102 101 95 108 SP SD: 0.2205 c. M: 0.3977 c. 1210: 95 103 103 97 105 94 106 100 103 101 95 108 SP SD: 0.2165 c. M:-0.4250 c. 1219: 96 103 104 98 106 95 106 101 103 102 96 109 SP SD: 0.2145 c. M: 0.3684 c. 1236: 97 105 105 99 108 96 108 102 105 103 98 110 SP SD: 0.2092 c. M: 0.4290 c. 1244: 98 105 106 100 108 97 109 102 106 104 98 111 SP SD: 0.2084 c. M: 0.4669 c. 1256: 99 106 107 101 109 98 110 103 107 105 99 112 SP SD: 0.1990 c. M: 0.4269 c. 1260: 99 107 107 101 110 98 110 104 107 105 99 113 SP SD: 0.1969 c. M: 0.4982 c. 1272: 100 108 108 102 111 99 111 105 108 106 100 114 SP SD: 0.1701 c. M: 0.4264 c. 1284: 101 109 109 103 112 100 112 106 109 107 101 115 SP SD: 0.1503 c. M: 0.3558 c. 1296: 102 110 110 104 113 101 113 107 110 108 102 116 SP SD: 0.1400 c. M: 0.2866 c. 1308: 103 111 111 105 114 102 114 108 111 109 103 117 SP SD: 0.1404 c. M:-0.2837 c. 1542: 121 131 131 124 134 120 135 127 131 129 121 138 SP SD: 0.1473 c. M: 0.2722 c. 1554: 122 132 132 125 135 121 136 128 132 130 122 139 SP SD: 0.1227 c. M: 0.2151 c. 1566: 123 133 133 126 136 122 137 129 133 131 123 140 SP SD: 0.1035 c. M:-0.2147 c. 1578: 124 134 134 127 137 123 138 130 134 132 124 141 SP SD: 0.0926 c. M:-0.2264 c. 1590: 125 135 135 128 138 124 139 131 135 133 125 142 SP SD: 0.0925 c. M:-0.2379 c. 1848: 145 157 157 149 160 144 162 152 157 154 146 165 SP SD: 0.1523 c. M: 0.2091 c. 1852: 146 157 157 149 161 144 162 153 157 155 146 165 SP SD: 0.1519 c. M:-0.2686 c. 1855: 146 157 158 149 161 145 162 153 157 155 146 166 SP SD: 0.1447 c. M: 0.2646 c. 1867: 147 158 159 150 162 146 163 154 158 156 147 167 SP SD: 0.1423 c. M: 0.2424 c. 1896: 149 161 161 152 165 148 166 156 161 158 150 169 SP SD: 0.1351 c. M: 0.3000 c. 1908: 150 162 162 153 166 149 167 157 162 159 151 170 SP SD: 0.1323 c. M: 0.2641 c. 2060: 162 175 175 165 179 161 180 170 175 172 162 184 SP SD: 0.1288 c. M: 0.2696 c. 2072: 163 176 176 166 180 162 181 171 176 173 163 185 SP SD: 0.1285 c. M: 0.2618 c. 2075: 163 176 177 166 181 161 182 171 176 173 164 185 SP SD: 0.1285 c. M: 0.1941 c. 2087: 164 177 178 167 182 162 183 172 177 174 165 186 SP SD: 0.1238 c. M:-0.1792 c. 2129: 167 181 181 171 185 166 186 176 180 178 168 190 SP SD: 0.1170 c. M: 0.2671 c. 2141: 168 182 182 172 186 167 187 177 181 179 169 191 SP SD: 0.1113 c. M: 0.2553 c. 2153: 169 183 183 173 187 168 188 178 182 180 170 192 SP SD: 0.1106 c. M: 0.2436 c. 2172: 171 184 185 174 189 169 190 179 185 181 171 194 SP SD: 0.1098 c. M:-0.1891 c. 2184: 172 185 186 175 190 170 191 180 186 182 172 195 SP SD: 0.1050 c. M:-0.1982 c. 2265: 178 192 193 182 197 176 198 187 192 189 179 202 SP SD: 0.1022 c. M: 0.1720 c. 2277: 179 193 194 183 198 177 199 188 193 190 180 203 SP SD: 0.1020 c. M:-0.1673 c. 2318: 182 197 197 186 202 180 203 191 197 193 183 207 SP SD: 0.0931 c. M: 0.1509 c. 2330: 183 198 198 187 203 181 204 192 198 194 184 208 SP SD: 0.0798 c. M:-0.1454 c. 2342: 184 199 199 188 204 182 205 193 199 195 185 209 SP SD: 0.0712 c. M:-0.1502 c. 2354: 185 200 200 189 205 183 206 194 200 196 186 210 SP SD: 0.0688 c. M:-0.1550 c. 2366: 186 201 201 190 206 184 207 195 201 197 187 211 SP SD: 0.0730 c. M:-0.1598 c.
FIT/HARMONIC
1 x x x x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x x 3 x x x x 4 S SD: 2.3114 cents 3 x x x x 4 x x x 5 x x 6 S SD: 4.6073 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 7.7299 cents 5 x x 6 x x 7 x 8 x 9 x 10 S SD: 6.5634 cents 6 x x 7 x 8 x 9 x 10 x 11:12 S SD: 9.2649 cents 7 x 8 x 9 x 10 x 11:12 x 13:14 S SD: 10.4536 cents 8 x 9 x 10 x 11:12:13 x 14:15:16 S SD: 8.5512 cents 9 x 10 x 11:12:13 x 14:15:16:17:18 S SD: 8.3308 cents 10 x 11:12 x 13:14:15:16:17:18:19:20 S SD: 6.9459 cents 11 x 12:13:14:15 x 16:17:18:20:21:22 S SD: 11.1568 cents 12:13 x 14:15:16:17:18:19:20:21:23:24 SD: 6.6308 cents 13:14 x 15:16:17:18:19:21:22:23:24:26 SD: 9.5385 cents 14:15:16:17:18:19:20:21:22:24:25:26:28 S SD: 7.6192 cents 15:16:17:18:19:20:21:22:24:25:27:28:30 SD: 4.9526 cents 19:20:21:23:24:25:27:28:30:32:34:36:38 SD: 4.9482 cents 20:21:22:24:25:27:28:30:32:34:36:38:40 SD: 4.8726 cents 22:23:25:26:28:29:31:33:35:37:39:41:44 SD: 4.0207 cents 24:25:27:29:30:32:34:36:38:40:43:45:48 SD: 3.7511 cents 27:29:30:32:34:36:38:40:43:45:48:51:54 SD: 3.4623 cents 31:33:35:37:39:41:44:46:49:52:55:58:62 SD: 2.8813 cents 32:34:36:38:40:43:45:48:51:54:57:60:64 SD: 2.0777 cents 42:44:47:50:53:56:59:63:67:71:75:79:84 SD: 2.0524 cents 48:51:54:57:60:64:68:72:76:81:85:90:96 SD: 1.9324 cents 50:53:56:59:63:67:70:75:79:84:89:94:100 SD: 1.6836 cents 51:54:57:61:64:68:72:76:81:86:91:96:102 SD: 1.5075 cents 58:61:65:69:73:77:82:87:92:97:103:109:116 SD: 1.4305 cents 59:62:66:70:74:79:83:88:93:99:105:111:118 SD: 1.2796 cents 69:73:77:82:87:92:97:103:109:116:123:130:138 SD: 1.0581 cents 74:78:83:88:93:99:104:111:117:124:132:139:148 SD: 0.9231 cents 90:95:101:107:113:120:127:135:143:151:160:169:180 SD: 0.8065 cents 91:96:102:108:114:121:128:136:144:153:162:171:182 SD: 0.7031 cents 123:130:138:146:154:164:173:184:195:207:219:231:246 SD: 0.6581 cents 125:132:140:149:157:167:176:187:198:210:223:235:250 SD: 0.6219 cents 140:148:157:166:176:187:197:209:222:235:249:263:280 SD: 0.5929 cents 144:152:161:171:181:192:203:215:228:242:256:271:288 SD: 0.5097 cents 149:157:167:177:187:199:210:223:236:250:265:280:298 SD: 0.4778 cents 159:168:178:189:200:212:224:238:252:267:283:299:318 SD: 0.3080 cents 218:230:244:259:274:291:307:326:345:366:388:410:436 SD: 0.2796 cents 250:264:280:297:314:334:352:374:396:420:445:470:500 SD: 0.2161 cents 282:298:316:335:354:376:397:422:447:474:502:530:564 SD: 0.2161 cents 324:342:363:385:407:432:456:485:513:544:577:609:648 SD: 0.2017 cents 341:360:382:405:428:455:480:510:540:573:607:641:682 SD: 0.1437 cents 468:494:524:556:588:624:659:700:741:786:833:880:936 SD: 0.1424 cents 500:528:560:594:628:667:704:748:792:840:890:940:1000 SD: 0.0000 cents