Scala analysis: sparschuch
Modified Collatz sequence well-temperament
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 89/84 100.099210 quasi-equal semitone 2: 47/42 194.725715 3: 25/21 301.846520 BP second, quasi-equal minor third 4: 44/35 396.178322 5: 4/3 498.044999 perfect fourth 6: 99/70 600.088324 2nd quasi-equal tritone 7: 157/105 696.450277 8: 667/420 800.756920 9: 176/105 894.223321 10: 187/105 999.178731 11: 66/35 1098.133323 12: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 35/33 101.8667 1: 89/84 100.0992 quasi-equal semitone 2: 94/89 94.6265 3: 50/47 107.1208 4: 132/125 94.3318 5: 35/33 101.8667 6: 297/280 102.0433 7: 314/297 96.3620 8: 667/628 104.3066 9: 704/667 93.4664 10: 17/16 104.9554 17th harmonic 11: 18/17 98.9546 Arabic lute index finger 12: 35/33 101.8667
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 : 100.1 194.7 301.8 396.2 498.0 600.1 696.5 800.8 894.2 999.2 1098.1 1200.0 100.1 : 94.6 201.7 296.1 397.9 500.0 596.4 700.7 794.1 899.1 998.0 1099.9 1200.0 194.7 : 107.1 201.5 303.3 405.4 501.7 606.0 699.5 804.5 903.4 1005.3 1105.4 1200.0 301.8 : 94.3 196.2 298.2 394.6 498.9 592.4 697.3 796.3 898.2 998.3 1092.9 1200.0 396.2 : 101.9 203.9 300.3 404.6 498.0 603.0 702.0 803.8 903.9 998.5 1105.7 1200.0 498.0 : 102.0 198.4 302.7 396.2 501.1 600.1 702.0 802.1 896.7 1003.8 1098.1 1200.0 600.1 : 96.4 200.7 294.1 399.1 498.0 599.9 700.0 794.6 901.8 996.1 1098.0 1200.0 696.5 : 104.3 197.8 302.7 401.7 503.5 603.6 698.3 805.4 899.7 1001.6 1103.6 1200.0 800.8 : 93.5 198.4 297.4 399.2 499.3 594.0 701.1 795.4 897.3 999.3 1095.7 1200.0 894.2 : 105.0 203.9 305.8 405.9 500.5 607.6 702.0 803.8 905.9 1002.2 1106.5 1200.0 999.2 : 99.0 200.8 300.9 395.5 502.7 597.0 698.9 800.9 897.3 1001.6 1095.0 1200.0 1098.1: 101.9 202.0 296.6 403.7 498.0 599.9 702.0 798.3 902.6 996.1 1101.0 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 : 99.80158 cents, oct.: 1197.61901 cents Scale is strictly proper Step pattern alph. order: ABCDEFGHIJKE Step pattern size order : FCKBGHDIAJEG 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 9 Formal octave complements present : 1 = 8.3333% Limited transpositions with margin 11.6417 cents: 1 2 3 4 5 6 7 8 9 10 11 Limited inverse transpositions with margin 11.6417 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 : 1/420, -8.7142 octaves, 0.6229 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 : 1294.5, average 107.87500 Mersenne's string divisions : too high to compute Sum of van Prooijen's expressibility: 19.89338, average 1.65778 Sum of Tenney's harmonic distance : 39.88545, average 3.32379 Vogel's harmonic complexity : 42.91667 Wille's k value : 333 Wilson's harmonic complexity : 404 Rectangular lattice diameter : 14 Triangular lattice diameter : 4 Lattice compactness : 237.26870, average 3.04191 Lattice compactness (without 2's) : 156.47312, average 2.00607 Number of different primes : 11 Prime exponents' range, average, count, tones@limit: 2: -2 .. 4 0.33333 16 1 3: -1 .. 2 -0.41667 11 1 5: -1 .. 2 -0.41667 9 7: -1 .. 0 -0.83333 10 1 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: 41 / 12 = 3.41667 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: 2.8922 c. M:-5.7767 c. Twelve-tone Chromatic (1/11-comma) 86: 7 7 8 6 8 7 7 7 7 8 7 7 SP D3 SD: 3.6591 c. M: 5.4806 c. 91: 8 7 8 7 8 8 7 8 7 8 7 8 SP M ME SD: 3.4196 c. M:-6.5051 c. 94: 8 7 9 7 8 8 8 8 7 8 8 8 SP D3 SD: 2.7703 c. M:-5.6774 c. 98: 8 8 9 7 9 8 8 8 8 9 8 8 SP D3 SD: 3.2175 c. M:-4.9029 c. 103: 9 8 9 8 9 9 8 9 8 9 8 9 SP M ME SD: 3.1294 c. M:-5.7369 c. 106: 9 8 10 8 9 9 9 9 8 9 9 9 SP D3 SD: 2.4205 c. M:-5.4365 c. 110: 9 9 10 8 10 9 9 9 9 10 9 9 SP D3 SD: 2.9066 c. M:-4.4576 c. 118: 10 9 11 9 10 10 9 11 9 10 10 10 SP D3 S SD: 2.1184 c. M: 4.9249 c. 122: 10 10 11 9 11 10 10 10 10 11 10 10 SP D3 SD: 2.6868 c. M:-4.1000 c. 124: 10 10 11 10 10 11 10 11 9 11 10 11 SP D3 SD: 2.6560 c. M: 4.5849 c. 126: 11 9 12 10 10 11 10 11 10 11 10 11 SP SD: 2.6287 c. M:-4.6627 c. 130: 11 10 12 10 11 11 10 12 10 11 11 11 SP D3 S SD: 1.8334 c. M: 4.1426 c. 132: 11 10 12 11 11 11 11 11 10 12 11 11 SP T3 SD: 2.3227 c. M:-3.8217 c. 136: 11 11 12 11 11 12 11 12 10 12 11 12 SP D3 SD: 2.3144 c. M: 4.0157 c. 142: 12 11 13 11 12 12 11 13 11 12 12 12 SP D3 S SD: 1.6294 c. M: 3.4925 c. 154: 13 12 14 12 13 13 12 14 12 13 13 13 SP D3 S SD: 1.4903 c. M: 2.9438 c. 166: 14 13 15 13 14 14 13 15 13 14 14 14 SP D3 S SD: 1.4027 c. M: 2.4744 c. 178: 15 14 16 14 15 15 14 16 14 15 15 15 SP D3 S SD: 1.3550 c. M:-2.4059 c. 190: 16 15 17 15 16 16 15 17 15 16 16 16 SP D3 S SD: 1.3370 c. M:-2.6188 c. 196: 16 16 17 16 16 17 16 17 15 17 16 17 SP D3 SD: 1.5152 c. M: 2.2150 c. 198: 17 15 18 15 17 17 16 17 16 17 16 17 SP SD: 1.5056 c. M:-2.9311 c. 202: 17 16 18 16 17 17 16 18 16 17 17 17 SP D3 S SD: 1.3404 c. M:-2.8064 c. 208: 17 17 18 17 17 18 17 18 16 18 17 18 SP D3 SD: 1.4682 c. M: 2.0223 c. 210: 17 17 19 16 18 18 17 18 16 19 17 18 SP SD: 1.4398 c. M: 2.9564 c. 214: 18 17 19 17 18 18 17 19 17 18 18 18 SP D3 S SD: 1.3583 c. M:-2.9729 c. 215: 18 17 19 17 18 19 17 18 17 19 18 18 SP SD: 1.3384 c. M:-2.7024 c. 216: 18 17 19 17 19 18 17 19 17 19 18 18 SP T3 SD: 1.2629 c. M: 2.0058 c. 220: 18 18 19 18 18 19 18 19 17 19 18 19 SP D3 SD: 1.4426 c. M:-2.0035 c. 222: 18 18 20 17 19 19 18 19 17 20 18 19 SP SD: 1.2837 c. M: 2.8019 c. 226: 19 18 20 18 19 19 18 20 17 20 19 19 SP SD: 1.2276 c. M: 2.1879 c. 228: 19 18 20 18 20 19 18 20 18 20 19 19 SP T3 SD: 1.1993 c. M:-1.9550 c. 234: 19 19 21 18 20 20 19 20 18 21 19 20 SP SD: 1.1580 c. M: 2.6633 c. 243: 20 19 22 19 21 20 20 21 19 21 20 21 SP SD: 1.3495 c. M: 2.5575 c. 246: 21 19 22 19 21 21 20 21 19 22 20 21 SP SD: 1.0215 c. M:-2.3398 c. 258: 22 20 23 20 22 22 21 22 20 23 21 22 SP SD: 0.9489 c. M:-2.2264 c. 270: 23 21 24 21 23 23 22 23 21 24 22 23 SP SD: 0.9006 c. M:-2.1230 c. 279: 23 22 25 22 24 23 23 24 22 24 23 24 SP SD: 1.0735 c. M: 2.2389 c. 282: 24 22 25 22 24 24 23 24 22 25 23 24 SP SD: 0.8738 c. M:-2.0284 c. 286: 24 22 26 22 25 24 23 25 22 25 24 24 SP SD: 0.9346 c. M: 1.7727 c. 294: 25 23 26 23 25 25 24 25 23 26 24 25 SP SD: 0.8654 c. M:-1.9416 c. 298: 25 23 27 23 26 25 24 26 23 26 25 25 SP SD: 0.8476 c. M: 1.5474 c. 306: 26 24 27 24 26 26 25 26 24 27 25 26 SP SD: 0.8717 c. M:-1.8616 c. 310: 26 24 28 24 27 26 25 27 24 27 26 26 SP SD: 0.7806 c. M: 1.3396 c. 322: 27 25 29 25 28 27 26 28 25 28 27 27 SP SD: 0.7331 c. M:-1.3339 c. 334: 28 26 30 26 29 28 27 29 26 29 28 28 SP SD: 0.7041 c. M:-1.3562 c. 346: 29 27 31 27 30 29 28 30 27 30 29 29 SP SD: 0.6918 c. M:-1.3770 c. 352: 29 28 31 28 30 30 28 31 27 31 29 30 SP SD: 0.8276 c. M: 1.8465 c. 357: 30 28 32 28 30 31 28 31 28 31 30 30 SP SD: 0.7598 c. M:-1.5923 c. 358: 30 28 32 28 31 30 29 31 28 31 30 30 SP SD: 0.6938 c. M:-1.3963 c. 364: 30 29 32 29 31 31 29 32 28 32 30 31 SP SD: 0.7625 c. M: 1.8465 c. 369: 31 29 33 29 31 32 29 32 29 32 31 31 SP SD: 0.7385 c. M:-1.5377 c. 370: 31 29 33 29 32 31 30 32 29 32 31 31 SP SD: 0.7073 c. M:-1.4145 c. 376: 31 30 33 30 32 32 30 33 29 33 31 32 SP SD: 0.7116 c. M: 1.8465 c. 384: 32 30 35 30 32 33 31 33 30 34 31 33 SP SD: 0.8007 c. M:-1.2785 c. 388: 32 31 35 30 33 33 31 34 30 34 32 33 SP SD: 0.5484 c. M:-1.2463 c. 396: 33 31 36 31 33 34 32 34 31 35 32 34 SP SD: 0.7512 c. M:-1.1838 c. 400: 33 32 36 31 34 34 32 35 31 35 33 34 SP SD: 0.5014 c. M:-1.1535 c. 408: 34 32 37 32 34 35 33 35 32 36 33 35 SP SD: 0.7140 c. M:-1.0947 c. 412: 34 33 37 32 35 35 33 36 32 36 34 35 SP SD: 0.4706 c. M: 1.0701 c. 420: 35 33 38 33 35 36 34 36 33 37 34 36 SP SD: 0.6885 c. M:-1.0106 c. 424: 35 34 38 33 36 36 34 37 33 37 35 36 SP SD: 0.4559 c. M: 1.0426 c. 436: 36 35 39 34 37 37 35 38 34 38 36 37 SP SD: 0.4561 c. M: 1.0166 c. 448: 37 36 40 35 38 38 36 39 35 39 37 38 SP SD: 0.4689 c. M: 0.9921 c. 460: 38 37 41 36 39 39 37 40 36 40 38 39 SP SD: 0.4915 c. M: 0.9688 c. 482: 40 38 43 38 41 41 39 42 37 42 40 41 SP SD: 0.5180 c. M:-0.9028 c. 494: 41 39 44 39 42 42 40 43 38 43 41 42 SP SD: 0.4898 c. M:-0.8625 c. 506: 42 40 45 40 43 43 41 44 39 44 42 43 SP SD: 0.4724 c. M:-0.8241 c. 518: 43 41 46 41 44 44 42 45 40 45 43 44 SP SD: 0.4656 c. M:-0.8470 c. 526: 44 41 47 42 44 45 42 46 41 46 43 45 SP SD: 0.5314 c. M: 0.8094 c. 530: 44 42 47 42 45 45 43 46 41 46 44 45 SP SD: 0.4682 c. M:-0.9082 c. 562: 47 44 50 44 48 48 45 49 44 49 46 48 SP SD: 0.5180 c. M: 1.1605 c. 566: 47 45 50 45 48 48 45 50 44 49 47 48 SP SD: 0.5136 c. M: 1.0439 c. 574: 48 45 51 45 49 49 46 50 45 50 47 49 SP SD: 0.4901 c. M: 1.0564 c. 576: 48 45 52 45 49 49 46 50 45 50 48 49 SP SD: 0.5758 c. M: 1.2621 c. 578: 48 46 51 46 49 49 46 51 45 50 48 49 SP SD: 0.5162 c. M: 0.9485 c. 580: 48 46 52 45 50 49 47 50 45 51 48 49 SP SD: 0.5125 c. M: 1.0059 c. 584: 49 46 52 46 49 50 47 51 45 51 48 50 SP SD: 0.5002 c. M: 0.8730 c. 586: 49 46 52 46 50 50 47 51 46 51 48 50 SP SD: 0.4702 c. M: 0.9565 c. 588: 49 46 53 46 50 50 47 51 46 51 49 50 SP SD: 0.5278 c. M: 1.2195 c. 590: 49 47 52 47 50 50 47 52 46 51 49 50 SP SD: 0.5251 c. M: 0.8571 c. 592: 49 47 53 46 51 50 48 51 46 52 49 50 SP SD: 0.4959 c. M: 0.9081 c. 596: 50 47 53 47 50 51 48 52 46 52 49 51 SP SD: 0.4860 c. M: 0.8179 c. 598: 50 47 53 47 51 51 48 52 47 52 49 51 SP SD: 0.4583 c. M: 0.8606 c. 600: 50 47 54 47 51 51 48 52 47 52 50 51 SP SD: 0.4860 c. M: 1.1787 c. 608: 51 48 54 48 51 52 49 53 47 53 50 52 SP SD: 0.4792 c. M: 0.7649 c. 612: 51 48 55 48 52 52 49 53 48 53 51 52 SP SD: 0.4509 c. M: 1.1395 c. 620: 52 49 55 49 52 53 50 54 48 54 51 53 SP SD: 0.4792 c. M:-0.7582 c. 622: 52 49 55 49 53 53 50 54 48 55 51 53 SP SD: 0.4606 c. M: 0.9757 c. 624: 52 49 56 49 53 53 50 54 49 54 52 53 SP SD: 0.4231 c. M: 1.1018 c. 636: 53 50 57 50 54 54 51 55 50 56 52 54 SP SD: 0.3520 c. M:-0.8213 c. 648: 54 51 58 51 55 55 52 56 51 57 53 55 SP SD: 0.3466 c. M:-0.8213 c. 652: 54 52 58 51 56 55 52 57 51 57 54 55 SP SD: 0.4561 c. M: 0.7448 c. 658: 55 52 59 51 56 56 53 57 51 58 54 56 SP SD: 0.3844 c. M:-0.8890 c. 660: 55 52 59 52 56 56 53 57 52 58 54 56 SP SD: 0.3494 c. M:-0.8213 c. 682: 57 54 61 53 58 58 55 59 53 60 56 58 SP SD: 0.3503 c. M:-0.7928 c. 694: 58 55 62 54 59 59 56 60 54 61 57 59 SP SD: 0.3447 c. M:-0.7471 c. 704: 59 55 63 55 60 60 57 61 55 61 58 60 SP SD: 0.4462 c. M: 0.7238 c. 706: 59 56 63 55 60 60 57 61 55 62 58 60 SP SD: 0.3464 c. M:-0.7417 c. 710: 59 56 64 55 61 60 57 62 55 62 59 60 SP SD: 0.4079 c. M:-0.6887 c. 715: 60 56 64 56 61 61 57 62 56 62 59 61 SP SD: 0.3991 c. M:-0.7508 c. 718: 60 57 64 56 61 61 58 62 56 63 59 61 SP SD: 0.3545 c. M:-0.8175 c. 722: 60 57 65 56 62 61 58 63 56 63 60 61 SP SD: 0.3849 c. M:-0.6466 c. 730: 61 57 66 57 62 62 59 63 57 64 60 62 SP SD: 0.3415 c. M: 0.7531 c. 734: 61 58 66 57 63 62 59 64 57 64 61 62 SP SD: 0.3680 c. M:-0.6058 c. 742: 62 58 67 58 63 63 60 64 58 65 61 63 SP SD: 0.3282 c. M: 0.6556 c. 752: 63 59 67 59 64 64 60 66 58 66 62 64 SP SD: 0.3611 c. M: 0.7056 c. 754: 63 59 68 59 64 64 61 65 59 66 62 64 SP SD: 0.3217 c. M:-0.6320 c. 764: 64 60 68 60 65 65 61 67 59 67 63 65 SP SD: 0.3254 c. M: 0.6388 c. 766: 64 60 69 60 65 65 62 66 60 67 63 65 SP SD: 0.3219 c. M:-0.6777 c. 776: 65 61 69 61 66 66 62 68 60 68 64 66 SP SD: 0.2947 c. M: 0.5740 c. 788: 66 62 70 62 67 67 63 69 61 69 65 67 SP SD: 0.2697 c. M: 0.5112 c. 800: 67 63 71 63 68 68 64 70 62 70 66 68 SP SD: 0.2515 c. M: 0.4503 c. 812: 68 64 72 64 69 69 65 71 63 71 67 69 SP SD: 0.2407 c. M:-0.3934 c. 824: 69 65 73 65 70 70 66 72 64 72 68 70 SP SD: 0.2375 c. M:-0.4199 c. 1017: 85 80 91 80 86 87 81 89 79 89 84 86 SP SD: 0.2780 c. M:-0.5016 c. 1029: 86 81 92 81 87 88 82 90 80 90 85 87 SP SD: 0.2795 c. M:-0.4948 c. 1034: 86 82 92 81 88 88 83 90 80 91 85 88 SP SD: 0.2640 c. M: 0.6063 c. 1041: 87 82 93 82 88 89 83 91 81 91 86 88 SP SD: 0.2849 c. M:-0.4880 c. 1046: 87 83 93 82 89 89 84 91 81 92 86 89 SP SD: 0.2450 c. M: 0.5331 c. 1053: 88 83 94 83 89 90 84 92 82 92 87 89 SP SD: 0.2936 c. M:-0.4815 c. 1058: 88 84 94 83 90 90 85 92 82 93 87 90 SP SD: 0.2299 c. M: 0.4615 c. 1070: 89 85 95 84 91 91 86 93 83 94 88 91 SP SD: 0.2194 c. M:-0.4145 c. 1082: 90 85 97 85 92 92 87 94 84 95 89 92 SP SD: 0.2482 c. M: 0.6407 c. 1094: 91 86 98 86 93 93 88 95 85 96 90 93 SP SD: 0.2243 c. M: 0.5758 c. 1106: 92 87 99 87 94 94 89 96 86 97 91 94 SP SD: 0.2036 c. M: 0.5123 c. 1118: 93 88 100 88 95 95 90 97 87 98 92 95 SP SD: 0.1868 c. M: 0.4502 c. 1130: 94 89 101 89 96 96 91 98 88 99 93 96 SP SD: 0.1746 c. M: 0.3894 c. 1142: 95 90 102 90 97 97 92 99 89 100 94 97 SP SD: 0.1677 c. M: 0.3299 c. 1154: 96 91 103 91 98 98 93 100 90 101 95 98 SP SD: 0.1663 c. M: 0.2867 c. 1272: 106 100 114 100 108 108 102 111 99 111 105 108 SP SD: 0.1552 c. M: 0.3861 c. 1284: 107 101 115 101 109 109 103 112 100 112 106 109 SP SD: 0.1449 c. M: 0.3332 c. 1296: 108 102 116 102 110 110 104 113 101 113 107 110 SP SD: 0.1395 c. M: 0.2813 c. 1308: 109 103 117 103 111 111 105 114 102 114 108 111 SP SD: 0.1393 c. M:-0.2721 c. 1518: 127 119 136 119 129 129 122 132 118 133 125 129 SP SD: 0.1398 c. M:-0.2960 c. 1530: 128 120 137 120 130 130 123 133 119 134 126 130 SP SD: 0.1245 c. M:-0.2929 c. 1542: 129 121 138 121 131 131 124 134 120 135 127 131 SP SD: 0.1122 c. M:-0.2899 c. 1554: 130 122 139 122 132 132 125 135 121 136 128 132 SP SD: 0.1037 c. M:-0.2869 c. 1566: 131 123 140 123 133 133 126 136 122 137 129 133 SP SD: 0.0998 c. M:-0.2839 c. 1578: 132 124 141 124 134 134 127 137 123 138 130 134 SP SD: 0.1008 c. M:-0.2810 c. 1590: 133 125 142 125 135 135 128 138 124 139 131 135 SP SD: 0.1064 c. M:-0.2781 c. 1626: 136 128 145 128 138 138 131 141 127 142 134 138 SP SD: 0.1415 c. M:-0.2698 c. 1677: 140 132 150 132 142 143 134 146 131 146 139 142 SP SD: 0.1801 c. M:-0.2695 c. 1680: 140 133 150 132 142 143 135 146 131 147 138 143 SP SD: 0.1762 c. M:-0.2963 c. 1684: 140 133 151 132 143 143 135 147 131 147 139 143 SP SD: 0.1753 c. M: 0.3367 c. 1687: 141 133 150 133 143 144 135 147 131 148 139 143 SP SD: 0.1685 c. M:-0.2673 c. 1696: 141 134 152 133 144 144 136 148 132 148 140 144 SP SD: 0.1682 c. M: 0.3351 c. 1699: 142 134 151 134 144 145 136 148 132 149 140 144 SP SD: 0.1712 c. M:-0.2648 c. 1708: 142 135 153 134 145 145 137 149 133 149 141 145 SP SD: 0.1636 c. M: 0.3334 c. 1720: 143 136 154 135 146 146 138 150 134 150 142 146 SP SD: 0.1614 c. M: 0.3318 c. 1726: 144 136 154 136 146 147 139 150 134 151 142 147 SP SD: 0.1588 c. M: 0.3349 c. 1738: 145 137 155 137 147 148 140 151 135 152 143 148 SP SD: 0.1550 c. M: 0.3197 c. 1750: 146 138 156 138 148 149 141 152 136 153 144 149 SP SD: 0.1539 c. M: 0.3048 c. 1770: 148 139 158 139 151 150 142 154 138 155 146 150 SP SD: 0.1652 c. M:-0.2601 c. 1774: 148 140 158 140 150 151 143 154 138 155 146 151 SP SD: 0.1590 c. M:-0.2803 c. 1776: 148 140 159 139 151 151 143 154 138 156 146 151 SP SD: 0.1587 c. M: 0.3044 c. 1788: 149 141 160 140 152 152 144 155 139 157 147 152 SP SD: 0.1468 c. M: 0.2636 c. 1800: 150 142 161 141 153 153 145 156 140 158 148 153 SP SD: 0.1369 c. M: 0.2233 c. 1812: 151 143 162 142 154 154 146 157 141 159 149 154 SP SD: 0.1295 c. M:-0.2385 c. 1824: 152 144 163 143 155 155 147 158 142 160 150 155 SP SD: 0.1247 c. M:-0.2602 c. 1836: 153 145 164 144 156 156 148 159 143 161 151 156 SP SD: 0.1228 c. M:-0.2817 c. 1930: 161 152 172 152 164 164 155 168 150 169 159 164 SP SD: 0.1149 c. M: 0.2921 c. 1942: 162 153 173 153 165 165 156 169 151 170 160 165 SP SD: 0.1073 c. M: 0.3017 c. 1954: 163 154 175 153 166 166 157 170 152 171 161 166 SP SD: 0.1004 c. M:-0.3029 c. 1966: 164 155 176 154 167 167 158 171 153 172 162 167 SP SD: 0.0925 c. M:-0.2898 c. 1978: 165 156 177 155 168 168 159 172 154 173 163 168 SP SD: 0.0877 c. M:-0.2768 c. 1990: 166 157 178 156 169 169 160 173 155 174 164 169 SP SD: 0.0864 c. M:-0.2640 c. 2002: 167 158 179 157 170 170 161 174 156 175 165 170 SP SD: 0.0885 c. M:-0.2514 c. 2038: 170 161 182 160 173 173 164 177 159 178 168 173 SP SD: 0.1113 c. M:-0.2143 c. 2063: 172 163 184 162 175 176 165 180 160 181 170 175 SP SD: 0.1362 c. M:-0.2125 c. 2072: 173 163 185 163 176 176 167 180 161 181 171 176 SP SD: 0.1252 c. M:-0.2679 c. 2075: 173 164 185 163 176 177 166 181 161 182 171 176 SP SD: 0.1312 c. M:-0.2069 c. 2084: 174 164 186 164 177 177 168 181 162 182 172 177 SP SD: 0.1251 c. M:-0.2868 c. 2087: 174 165 186 164 177 178 167 182 162 183 172 177 SP SD: 0.1282 c. M:-0.2014 c. 2096: 175 165 187 165 178 178 168 183 163 183 173 178 SP SD: 0.1198 c. M: 0.2671 c. 2108: 176 166 188 166 179 179 169 184 164 184 174 179 SP SD: 0.1162 c. M: 0.2453 c. 2120: 177 167 189 167 180 180 170 185 165 185 175 180 SP SD: 0.1150 c. M: 0.2239 c. 2144: 179 169 191 169 182 182 172 187 167 187 177 182 SP SD: 0.1193 c. M: 0.1816 c. 2194: 183 173 196 172 187 186 176 191 171 192 181 186 SP SD: 0.1162 c. M:-0.2230 c. 2206: 184 174 197 173 188 187 177 192 172 193 182 187 SP SD: 0.1143 c. M:-0.2324 c. 2287: 191 180 204 180 194 195 183 199 178 200 189 194 SP SD: 0.1122 c. M:-0.1740 c. 2299: 192 181 205 181 195 196 184 200 179 201 190 195 SP SD: 0.1062 c. M:-0.1727 c. 2311: 193 182 206 182 196 197 185 201 180 202 191 196 SP SD: 0.1022 c. M:-0.1713 c. 2323: 194 183 207 183 197 198 186 202 181 203 192 197 SP SD: 0.1003 c. M:-0.1700 c. 2330: 194 184 208 183 198 198 187 203 181 204 192 198 SP SD: 0.1030 c. M: 0.1850 c. 2335: 195 184 208 184 198 199 187 203 182 204 193 198 SP SD: 0.1007 c. M: 0.1763 c. 2342: 195 185 209 184 199 199 188 204 182 205 193 199 SP SD: 0.0935 c. M: 0.1846 c. 2354: 196 186 210 185 200 200 189 205 183 206 194 200 SP SD: 0.0858 c. M: 0.1842 c. 2366: 197 187 211 186 201 201 190 206 184 207 195 201 SP SD: 0.0802 c. M: 0.1837 c. 2378: 198 188 212 187 202 202 191 207 185 208 196 202 SP SD: 0.0771 c. M: 0.1833 c. 2390: 199 189 213 188 203 203 192 208 186 209 197 203 SP SD: 0.0767 c. M: 0.1829 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: 2.7524 cents 3 x x x x 4 x x x 5 x x 6 S SD: 3.2882 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 8.0967 cents 5 x x 6 x x 7 x 8 x 9 x 10 S SD: 6.3422 cents 6 x x 7 x 8 x 9 x 10 x 11:12 S SD: 10.1782 cents 7 x 8 x 9 x 10 x 11:12 x 13:14 S SD: 10.7767 cents 8 x 9 x 10 x 11:12:13 x 14:15:16 S SD: 9.0059 cents 9 x 10:11 x 12:13 x 14:15:16:17:18 S SD: 7.8268 cents 10 x 11:12 x 13:14:15:16:17:18:19:20 S SD: 6.7878 cents 11 x 12:13:14:15 x 16:17:18:20:21:22 S SD: 10.9750 cents 12:13 x 14:15:16:17:18:19:20:21:23:24 SD: 6.2189 cents 13:14:15 x 16:17:18:19:21:22:23:25:26 SD: 9.7137 cents 14:15:16:17:18:19:20:21:22:23:25:26:28 SD: 7.4193 cents 15:16:17:18:19:20:21:22:24:25:27:28:30 SD: 4.7986 cents 19:20:21:23:24:25:27:28:30:32:34:36:38 SD: 4.5821 cents 22:23:25:26:28:29:31:33:35:37:39:41:44 SD: 4.4428 cents 24:25:27:29:30:32:34:36:38:40:43:45:48 SD: 3.8008 cents 27:29:30:32:34:36:38:40:43:45:48:51:54 SD: 2.9391 cents 31:33:35:37:39:41:44:46:49:52:55:58:62 SD: 2.6740 cents 32:34:36:38:40:43:45:48:51:54:57:60:64 SD: 2.3628 cents 36:38:40:43:45:48:51:54:57:60:64:68:72 SD: 1.8739 cents 50:53:56:60:63:67:71:75:79:84:89:94:100 SD: 1.8339 cents 51:54:57:61:64:68:72:76:81:85:91:96:102 SD: 1.2987 cents 67:71:75:80:84:89:95:100:106:112:119:126:134 SD: 1.2635 cents 68:72:76:81:85:91:96:102:108:114:121:128:136 SD: 1.1680 cents 78:83:87:93:98:104:110:117:124:131:139:147:156 SD: 1.0792 cents 83:88:93:99:104:111:117:124:132:139:148:157:166 SD: 1.0318 cents 85:90:95:101:107:113:120:127:135:142:151:160:170 SD: 0.9182 cents 99:105:111:118:124:132:140:148:157:166:176:187:198 SD: 0.7627 cents 101:107:113:120:127:135:143:151:160:169:180:190:202 SD: 0.7473 cents 117:124:131:139:147:156:165:175:186:196:208:221:234 SD: 0.6550 cents 132:140:148:157:166:176:187:197:210:221:235:249:264 SD: 0.5920 cents 133:141:149:158:167:177:188:199:211:223:237:251:266 SD: 0.5368 cents 151:160:169:180:190:201:214:226:240:253:269:285:302 SD: 0.5063 cents 152:161:170:181:191:203:215:227:241:255:271:287:304 SD: 0.4805 cents 167:177:187:199:210:223:236:250:265:280:297:315:334 SD: 0.4215 cents 168:178:188:200:211:224:238:251:267:282:299:317:336 SD: 0.4025 cents 183:194:205:218:230:244:259:274:291:307:326:345:366 SD: 0.3755 cents 219:232:245:261:275:292:310:327:348:367:390:413:438 SD: 0.3460 cents 234:248:262:279:294:312:331:350:372:392:417:441:468 SD: 0.3339 cents 236:250:264:281:297:315:334:353:375:396:420:445:472 SD: 0.3223 cents 237:251:265:282:298:316:335:354:376:397:422:447:474 SD: 0.2902 cents 252:267:282:300:317:336:356:377:400:422:449:475:504 SD: 0.2685 cents 287:304:321:342:361:383:406:429:456:481:511:541:574 SD: 0.2485 cents 319:338:357:380:401:425:451:477:507:535:568:602:638 SD: 0.2364 cents 321:340:359:382:404:428:454:480:510:538:572:605:642 SD: 0.2350 cents 335:355:375:399:421:447:474:501:532:562:597:632:670 SD: 0.2326 cents 352:373:394:419:443:469:498:526:559:590:627:664:704 SD: 0.2254 cents 369:391:413:439:464:492:522:552:586:619:657:696:738 SD: 0.1793 cents 384:407:430:457:483:512:543:574:610:644:684:724:768 SD: 0.1753 cents 420:445:470:500:528:560:594:628:667:704:748:792:840 SD: 0.0000 cents