Scala analysis: monzo_sumerian_12edo_simp

Monzo - simplified 2-place sexagesimal 12edo approximation

Generated by Scala: https://www.huygens-fokker.org/scala/

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:        300/283           100.992537
  2:        120/107           198.508331
  3:        120/101           298.414935
  4:        150/119           400.801113
  5:          4/3             498.044999 perfect fourth
  6:         75/53            601.077883
  7:          3/2             701.955001 perfect fifth
  8:        100/63            799.891520 quasi-equal minor sixth
  9:        180/107           900.463332
 10:        180/101          1000.369936
 11:        100/53           1099.122882
 12:          2/1            1200.000000 octave
SHOW/INTERVAL
  0:         53/50            100.8771 
  1:        300/283           100.9925 
  2:        566/535            97.5158 
  3:        107/101            99.9066 
  4:        505/476           102.3862 
  5:        238/225            97.2439 
  6:        225/212           103.0329 
  7:         53/50            100.8771 
  8:        200/189            97.9365 
  9:        567/535           100.5718 
 10:        107/101            99.9066 
 11:        505/477            98.7529 
 12:         53/50            100.8771 
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 238/225             97.244 cents   
  1:   1 566/535             97.516 cents   
  1:   1 200/189             97.937 cents   
  1:   1 505/477             98.753 cents   
  1:   2 107/101             99.907 cents   
  1:   1 567/535             100.572 cents  
  1:   2 53/50               100.877 cents  
  1:   1 300/283             100.993 cents  
  1:   1 505/476             102.386 cents  
  1:   1 225/212             103.033 cents  
  2:   1 566/505             197.422 cents  
  2:   2 120/107             198.508 cents  
  2:   1 535/477             198.660 cents  
  2:   1 212/189             198.814 cents  
  2:   2 101/90              199.630 cents  
  2:   1 119/106             200.277 cents  
  2:   1 567/505             200.478 cents  
  2:   1 318/283             201.870 cents  
  2:   1 535/476             202.293 cents  
  2:   1 9/8                 203.910 cents  major whole tone
  3:   2 120/101             298.415 cents  
  3:   1 63/53               299.231 cents  
  3:   2 636/535             299.385 cents  
  3:   2 107/90              299.537 cents  
  3:   1 283/238             299.809 cents  
  3:   1 1010/849            300.623 cents  
  3:   1 119/100             301.154 cents  
  3:   1 25/21               301.847 cents  BP second, quasi-equal minor third
  3:   1 505/424             302.663 cents  
  4:   1 283/225             397.052 cents  
  4:   1 200/159             397.168 cents  
  4:   1 404/321             398.138 cents  
  4:   1 34/27               399.090 cents  septendecimal major third
  4:   2 636/505             399.292 cents  
  4:   1 63/50               400.108 cents  quasi-equal major third
  4:   1 1070/849            400.529 cents  
  4:   1 150/119             400.801 cents  
  4:   1 135/107             402.418 cents  
  4:   1 535/424             402.570 cents  
  4:   1 101/80              403.540 cents  
  5:   5 4/3                 498.045 cents  perfect fourth
  5:   1 714/535             499.662 cents  
  5:   1 283/212             500.085 cents  
  5:   1 378/283             501.101 cents  
  5:   1 505/378             501.477 cents  
  5:   1 159/119             501.678 cents  
  5:   1 135/101             502.325 cents  
  5:   1 107/80              503.447 cents  
  6:   1 428/303             597.952 cents  
  6:   1 756/535             598.617 cents  
  6:   2 106/75              598.922 cents  
  6:   1 400/283             599.038 cents  
  6:   1 714/505             599.569 cents  
  6:   1 505/357             600.431 cents  
  6:   1 283/200             600.962 cents  
  6:   2 75/53               601.078 cents  
  6:   1 535/378             601.383 cents  
  6:   1 303/214             602.048 cents  
  7:   1 160/107             696.553 cents  Milliet de Chales 1/4-comma fifth
  7:   1 202/135             697.675 cents  
  7:   1 238/159             698.322 cents  
  7:   1 756/505             698.523 cents  
  7:   1 283/189             698.899 cents  
  7:   1 424/283             699.915 cents  
  7:   1 535/357             700.338 cents  
  7:   5 3/2                 701.955 cents  perfect fifth
  8:   1 160/101             796.460 cents  
  8:   1 848/535             797.430 cents  
  8:   1 214/135             797.582 cents  
  8:   1 119/75              799.199 cents  
  8:   1 849/535             799.471 cents  
  8:   1 100/63              799.892 cents  quasi-equal minor sixth
  8:   2 505/318             800.708 cents  
  8:   1 27/17               800.910 cents  septendecimal minor sixth
  8:   1 321/202             801.862 cents  
  8:   1 159/100             802.832 cents  
  8:   1 450/283             802.948 cents  
  9:   1 848/505             897.337 cents  
  9:   1 42/25               898.153 cents  quasi-equal major sixth
  9:   1 200/119             898.846 cents  
  9:   1 849/505             899.377 cents  
  9:   1 476/283             900.191 cents  
  9:   2 180/107             900.463 cents  
  9:   2 535/318             900.615 cents  
  9:   1 106/63              900.769 cents  
  9:   2 101/60              901.585 cents  
 10:   1 16/9                996.090 cents  Pythagorean minor seventh
 10:   1 952/535             997.707 cents  
 10:   1 283/159             998.130 cents  
 10:   1 1010/567            999.522 cents  
 10:   1 212/119             999.723 cents  
 10:   2 180/101             1000.370 cents 
 10:   1 189/106             1001.186 cents 
 10:   1 954/535             1001.340 cents 
 10:   2 107/60              1001.492 cents 
 10:   1 505/283             1002.578 cents 
 11:   1 424/225             1096.967 cents 
 11:   1 952/505             1097.614 cents 
 11:   1 283/150             1099.007 cents 
 11:   2 100/53              1099.123 cents 
 11:   1 1070/567            1099.428 cents 
 11:   2 202/107             1100.093 cents 
 11:   1 954/505             1101.247 cents 
 11:   1 189/100             1102.063 cents 
 11:   1 535/283             1102.484 cents 
 11:   1 225/119             1102.756 cents 
Highest number of different intervals for one interval class: 11
Average number of different intervals per interval class: 9.63636 = 106/11
SHOW/LINE/CENTS INTERVALS
         1     2     3     4     5     6     7     8     9     10     11     12    
 0.0   : 101.0 198.5 298.4 400.8 498.0 601.1 702.0 799.9 900.5 1000.4 1099.1 1200.0
 101.0 : 97.5  197.4 299.8 397.1 500.1 601.0 698.9 799.5 899.4 998.1  1099.0 1200.0
 198.5 : 99.9  202.3 299.5 402.6 503.4 601.4 702.0 801.9 900.6 1001.5 1102.5 1200.0
 298.4 : 102.4 199.6 302.7 403.5 501.5 602.0 702.0 800.7 901.6 1002.6 1100.1 1200.0
 400.8 : 97.2  200.3 301.2 399.1 499.7 599.6 698.3 799.2 900.2 997.7  1097.6 1200.0
 498.0 : 103.0 203.9 301.8 402.4 502.3 601.1 702.0 802.9 900.5 1000.4 1102.8 1200.0
 601.1 : 100.9 198.8 299.4 399.3 498.0 598.9 699.9 797.4 897.3 999.7  1097.0 1200.0
 702.0 : 97.9  198.5 298.4 397.2 498.0 599.0 696.6 796.5 898.8 996.1  1099.1 1200.0
 799.9 : 100.6 200.5 299.2 400.1 501.1 598.6 698.5 800.9 898.2 1001.2 1102.1 1200.0
 900.5 : 99.9  198.7 299.5 400.5 498.0 598.0 700.3 797.6 900.6 1001.5 1099.4 1200.0
 1000.4: 98.8  199.6 300.6 398.1 498.0 600.4 697.7 800.7 901.6 999.5  1100.1 1200.0
 1099.1: 100.9 201.9 299.4 399.3 501.7 598.9 702.0 802.8 900.8 1001.3 1101.2 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  97.2439   .. 103.0329 cents      50625/50456, 5.7890 cents          238/225, 97.2439 cents
  2:  197.4224  .. 203.9100 cents      4545/4528, 6.4876 cents            119992/113625, 94.3895 cents
  3:  298.4149  .. 302.6629 cents      10201/10176, 4.2480 cents          320/303, 94.5049 cents
  4:  397.0525  .. 403.5401 cents      4545/4528, 6.4876 cents            119992/113625, 94.3895 cents
  5:  498.0450  .. 503.4467 cents      321/320, 5.4017 cents              320/303, 94.5049 cents
  6:  597.9516  .. 602.0484 cents      91809/91592, 4.0968 cents          320/303, 94.5049 cents
  7:  696.5533  .. 701.9550 cents      321/320, 5.4017 cents              320/303, 94.5049 cents
  8:  796.4599  .. 802.9475 cents      4545/4528, 6.4876 cents            320/303, 94.5049 cents
  9:  897.3371  .. 901.5851 cents      10201/10176, 4.2480 cents          119992/113625, 94.3895 cents
 10:  996.0900  .. 1002.5776 cents     4545/4528, 6.4876 cents            320/303, 94.5049 cents
 11:  1096.9671 .. 1102.7561 cents     50625/50456, 5.7890 cents          119992/113625, 94.3895 cents
SHOW DATA
Number of notes                     : 12
-- Interval properties --
Smallest interval                   : 238/225, 97.2439 cents, class 1
Average step (divided formal octave): 100.0000 cents
Largest one step interval           : 225/212, 103.0329 cents
Average / Smallest step             : 1.028342
Largest / Average step              : 1.030329
Largest / Smallest step             : 1.059531
Median interval of one step         : 100.23921 cents, amount: 0
Least squares average step          : 100.00644 cents, oct.:  1200.07733 cents
Scale is strictly proper
Step pattern alph. order: ABCDEFGHICJG
Step pattern size order : HBEIAJGCFEDG
Scale is a Constant Structure, by a margin of 94.38951 cents
Scale diversity                     : 1.041677
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.949230
Rothenberg efficiency               : 0.205177   redundancy: 0.794823
Efficiency x scale size             : 2.462121
Number of different interval sizes  : 106 = 9.63636 / class
Number of one step interval sizes   : 10
Highest interval variety            : 11
Mean interval variety               : 9.63636 = 106/11
Median interval variety             : 8
Lowest interval variety             : 8
Smallest interval difference        : 15000/14999, 0.1154 cents
Most common intervals               : 4/3, 498.0450 cents & inv., amount: 5
Number of recognisable fifths       : 12, average 700.0000 cents
Scale is a well-temperament. It has 8 different sizes of fifth
Best fifths form a closed circle
Scale contains a complete diamond   : 1 3
Formal octave complements present   : 3 = 25.0000%
Limited transpositions with margin 5.4017 cents:
 1 2 3 4 5 6 7 8 9 10 11
Limited inverse transpositions with margin 5.4017 cents:
 1 2 3 4 5 6 7 8 9 10 11
-- Rational properties --
Prime limit                         : 283
Odd number limit                    : 849 (O: 849 U: 849)
Highest odd numerator or denominator: 283
Scale harmonicity                   : 0.014734
Fundamental                         : too low to compute
Guide tone                          : 1800,  10.8138 octaves, 470926.018 Hz.
Exponens Consonantiae               : 6.249704E+14, 49.15078 octaves
Euler's gradus suavitatis           : 583
Sum of Mann's harmonic distance     : 1163.5, average 96.95833
Mersenne's string divisions         : too high to compute
Sum of van Prooijen's expressibility: 18.94766, average 1.57897
Sum of Tenney's harmonic distance   : 39.19818, average 3.26651
Vogel's harmonic complexity         : too high to compute
Wille's k value                     : too high to compute
Wilson's harmonic complexity        : 590
Rectangular lattice diameter        : 12
Triangular lattice diameter         : 5
Lattice compactness                 : 198.52537, average 2.54520
Lattice compactness (without 2's)   : 148.21735, average 1.90022
Number of different primes          : 9
Prime exponents' range, average, count, tones@limit:
  2:  -1 .. 3         1.58333   21    1
  3:  -2 .. 2         0.58333   13    2
  5:   0 .. 2         1.16667   14
  7:  -1 .. 0        -0.16667   2     1
 17:  -1 .. 0        -0.08333   1     1
 53:  -1 .. 0        -0.16667   2     2
 101: -1 .. 0        -0.16667   2     2
 107: -1 .. 0        -0.16667   2     2
 283: -1 .. 0        -0.08333   1     1
Average exponent except 2's         : 11 / 12 = 0.91667
Average absolute exponent except 2's: 37 / 12 = 3.08333
Scale is weakly epimorphic with val: <12 19 27 34 49 69 79 81 98|
Scale is weakly epimorphic with val: <12 19 28 33 50 69 80 82 97|
Scale is JI-epimorphic with val: <12 19 28 34 49 69 80 81 98| = patent
Scale is weakly epimorphic with val: <12 19 29 33 50 69 81 82 97|
Scale is weakly epimorphic with val: <12 19 29 34 49 69 80 82 98|
Scale is weakly epimorphic with val: <12 19 29 35 48 69 80 81 99|
FIT/MODE
 12:  1 1 1 1 1 1 1 1 1 1 1 1  SP B ME I SD: 1.1656 c. M: 1.9550 c.  Twelve-tone Chromatic (1/11-comma)
 188: 16 15 16 16 15 16 16 15 16 16 15 16  SP B ME I SD: 1.1594 c. M: 2.0192 c. 
 200: 17 16 17 17 16 17 17 16 17 17 16 17  SP B ME I SD: 1.0840 c. M: 1.8915 c. 
 212: 18 17 18 18 17 18 18 17 18 18 17 18  SP B ME I SD: 1.0213 c. M: 1.7783 c. 
 224: 19 18 19 19 18 19 19 18 19 19 18 19  SP B ME I SD: 0.9693 c. M: 1.6772 c. 
 236: 20 19 20 20 19 20 20 19 20 20 19 20  SP B ME I SD: 0.9264 c. M: 1.5864 c. 
 248: 21 20 21 21 20 21 21 20 21 21 20 21  SP B ME I SD: 0.8912 c. M:-1.5851 c. 
 260: 22 21 22 22 21 22 22 21 22 22 21 22  SP B ME I SD: 0.8625 c. M:-1.5851 c. 
 272: 23 22 23 23 22 23 23 22 23 23 22 23  SP B ME I SD: 0.8394 c. M:-1.5851 c. 
 284: 24 23 24 24 23 24 24 23 24 24 23 24  SP B ME I SD: 0.8209 c. M:-1.5851 c. 
 294: 25 24 24 25 24 25 25 24 25 24 24 25  SP   D3 I SD: 0.8823 c. M:-1.5775 c. 
 296: 25 24 25 25 24 25 25 24 25 25 24 25  SP B ME I SD: 0.8063 c. M:-1.5851 c. 
 297: 25 24 25 25 24 26 25 24 25 25 24 25  SP   D3   SD: 0.7908 c. M:-1.6503 c. 
 306: 26 25 25 26 25 26 26 25 26 25 25 26  SP   D3 I SD: 0.8501 c. M:-1.4975 c. 
 308: 26 25 26 26 25 26 26 25 26 26 25 26  SP B ME I SD: 0.7951 c. M:-1.5851 c. 
 309: 26 25 26 26 25 27 26 25 26 26 25 26  SP   D3   SD: 0.7389 c. M:-1.5718 c. 
 318: 27 26 26 27 26 27 27 26 27 26 26 27  SP   D3 I SD: 0.8228 c. M:-1.4917 c. 
 320: 27 26 27 27 26 27 27 26 27 27 26 27  SP B ME I SD: 0.7866 c. M:-1.5851 c. 
 321: 27 26 27 27 26 28 27 26 27 27 26 27  SP   D3   SD: 0.6930 c. M:-1.4992 c. 
 330: 28 27 27 28 27 28 28 27 28 27 27 28  SP   D3 I SD: 0.7996 c. M:-1.4917 c. 
 332: 28 27 28 28 27 28 28 27 28 28 27 28  SP B ME I SD: 0.7806 c. M:-1.5851 c. 
 333: 28 27 28 28 27 29 28 27 28 28 27 28  SP   D3   SD: 0.6526 c. M:-1.4319 c. 
 345: 29 28 29 29 28 30 29 28 29 29 28 29  SP   D3   SD: 0.6174 c. M:-1.3692 c. 
 357: 30 29 30 30 29 31 30 29 30 30 29 30  SP   D3   SD: 0.5868 c. M:-1.3107 c. 
 359: 30 29 30 31 29 31 30 29 30 30 30 30  SP   D3   SD: 0.7853 c. M: 1.2990 c. 
 366: 31 30 30 31 30 31 31 30 31 30 30 31  SP   D3 I SD: 0.7507 c. M:-1.4917 c. 
 369: 31 30 31 31 30 32 31 30 31 31 30 31  SP   D3   SD: 0.5607 c. M:-1.2561 c. 
 381: 32 31 32 32 31 33 32 31 32 32 31 32  SP   D3   SD: 0.5387 c. M:-1.2049 c. 
 393: 33 32 33 33 32 34 33 32 33 33 32 33  SP   D3   SD: 0.5204 c. M:-1.1568 c. 
 405: 34 33 34 34 33 35 34 33 34 34 33 34  SP   D3   SD: 0.5055 c. M:-1.1115 c. 
 417: 35 34 35 35 34 36 35 34 35 35 34 35  SP   D3   SD: 0.4938 c. M:-1.0689 c. 
 429: 36 35 36 36 35 37 36 35 36 36 35 36  SP   D3   SD: 0.4849 c. M:-1.0287 c. 
 437: 37 35 37 37 35 38 37 35 37 36 36 37  SP        SD: 0.7015 c. M:-1.0198 c. 
 438: 37 35 37 37 36 37 37 36 37 36 36 37  SP        SD: 0.6738 c. M: 1.2481 c. 
 441: 37 36 37 37 36 38 37 36 37 37 36 37  SP   D3   SD: 0.4786 c. M:-0.9906 c. 
 449: 38 36 38 38 36 39 38 36 38 37 37 38  SP        SD: 0.6664 c. M: 0.9403 c. 
 450: 38 36 38 38 37 38 38 37 38 37 37 38  SP        SD: 0.6615 c. M: 1.1750 c. 
 451: 38 37 37 39 36 39 38 37 37 38 37 38  SP        SD: 0.6508 c. M: 1.1285 c. 
 453: 38 37 38 38 37 39 38 37 38 38 37 38  SP   D3   SD: 0.4745 c. M:-0.9546 c. 
 461: 39 37 39 39 37 40 39 37 39 38 38 39  SP        SD: 0.6343 c. M:-0.9343 c. 
 463: 39 38 38 40 37 40 39 38 38 39 38 39  SP        SD: 0.6288 c. M: 1.1113 c. 
 465: 39 38 39 39 38 40 39 38 39 39 38 39  SP   D3   SD: 0.4724 c. M:-0.9399 c. 
 477: 40 39 40 40 39 41 40 39 40 40 39 40  SP   D3   SD: 0.4720 c. M:-0.9561 c. 
 545: 46 44 45 47 44 47 46 44 46 45 45 46  SP        SD: 0.5040 c. M: 1.1672 c. 
 549: 46 45 46 46 45 47 46 45 46 46 45 46  SP   D3   SD: 0.4940 c. M:-1.0386 c. 
 557: 47 45 46 48 45 48 47 45 47 46 46 47  SP        SD: 0.4775 c. M: 1.1079 c. 
 569: 48 46 47 49 46 49 48 46 48 47 47 48  SP        SD: 0.4530 c. M: 1.0511 c. 
 581: 49 47 48 50 47 50 49 47 49 48 48 49  SP        SD: 0.4303 c. M: 0.9967 c. 
 593: 50 48 49 51 48 51 50 48 50 49 49 50  SP        SD: 0.4095 c. M: 0.9444 c. 
 597: 50 49 49 51 49 51 50 49 50 50 49 50  SP        SD: 0.4951 c. M: 0.9275 c. 
 602: 51 49 50 51 49 52 50 49 51 50 49 51  SP        SD: 0.5629 c. M:-0.9155 c. 
 603: 51 49 50 51 49 52 51 49 50 51 49 51  SP        SD: 0.5343 c. M: 0.9608 c. 
 605: 51 49 50 52 49 52 51 49 51 50 50 51  SP        SD: 0.3906 c. M: 0.8943 c. 
 609: 51 50 50 52 50 52 51 50 51 51 50 51  SP        SD: 0.4935 c. M: 0.8780 c. 
 614: 52 50 51 52 50 53 51 50 52 51 50 52  SP        SD: 0.5543 c. M:-0.8765 c. 
 615: 52 50 51 52 50 53 52 50 51 52 50 52  SP        SD: 0.5205 c. M: 0.9511 c. 
 617: 52 50 51 53 50 53 52 50 52 51 51 52  SP        SD: 0.3734 c. M: 0.8461 c. 
 621: 52 51 51 53 51 53 52 51 52 52 51 52  SP        SD: 0.4928 c. M: 0.8304 c. 
 629: 53 51 52 54 51 54 53 51 53 52 52 53  SP        SD: 0.3581 c. M: 0.7997 c. 
 641: 54 52 53 55 52 55 54 52 54 53 53 54  SP        SD: 0.3445 c. M: 0.7550 c. 
 653: 55 53 54 56 53 56 55 53 55 54 54 55  SP        SD: 0.3326 c. M: 0.7120 c. 
 665: 56 54 55 57 54 57 56 54 56 55 55 56  SP        SD: 0.3225 c. M: 0.6707 c. 
 677: 57 55 56 58 55 58 57 55 57 56 56 57  SP        SD: 0.3140 c. M: 0.6654 c. 
 689: 58 56 57 59 56 59 58 56 58 57 57 58  SP        SD: 0.3072 c. M: 0.6602 c. 
 701: 59 57 58 60 57 60 59 57 59 58 58 59  SP        SD: 0.3019 c. M: 0.6552 c. 
 713: 60 58 59 61 58 61 60 58 60 59 59 60  SP        SD: 0.2980 c. M: 0.6504 c. 
 725: 61 59 60 62 59 62 61 59 61 60 60 61  SP        SD: 0.2956 c. M: 0.6458 c. 
 737: 62 60 61 63 60 63 62 60 62 61 61 62  SP        SD: 0.2944 c. M: 0.6413 c. 
 749: 63 61 62 64 61 64 63 61 63 62 62 63  SP        SD: 0.2945 c. M: 0.6370 c. 
 752: 63 61 63 64 61 65 63 61 63 63 62 63  SP        SD: 0.3601 c. M: 0.6360 c. 
 761: 64 62 63 65 62 65 64 62 64 63 63 64  SP        SD: 0.2956 c. M: 0.6327 c. 
 764: 64 62 64 65 62 66 64 62 64 64 63 64  SP        SD: 0.3509 c. M: 0.6026 c. 
 769: 65 62 64 66 62 66 65 63 64 64 63 65  SP        SD: 0.3451 c. M:-0.6286 c. 
 773: 65 63 64 66 63 66 65 63 65 64 64 65  SP        SD: 0.2976 c. M: 0.6287 c. 
 776: 65 63 65 66 63 67 65 63 65 65 64 65  SP        SD: 0.3428 c. M: 0.5702 c. 
 781: 66 63 65 67 63 67 66 64 65 65 64 66  SP        SD: 0.3300 c. M:-0.6206 c. 
 785: 66 64 65 67 64 67 66 64 66 65 65 66  SP        SD: 0.3005 c. M: 0.6247 c. 
 788: 66 64 66 67 64 68 66 64 66 66 65 66  SP        SD: 0.3359 c. M: 0.5388 c. 
 793: 67 64 66 68 64 68 67 65 66 66 65 67  SP        SD: 0.3161 c. M:-0.6129 c. 
 797: 67 65 66 68 65 68 67 65 67 66 66 67  SP        SD: 0.3042 c. M: 0.6209 c. 
 800: 67 65 67 68 65 69 67 65 67 67 66 67  SP        SD: 0.3302 c. M: 0.5083 c. 
 805: 68 65 67 69 65 69 68 66 67 67 66 68  SP        SD: 0.3034 c. M:-0.6054 c. 
 812: 68 66 68 69 66 70 68 66 68 68 67 68  SP        SD: 0.3255 c. M: 0.4999 c. 
 817: 69 66 68 70 66 70 69 67 68 68 67 69  SP        SD: 0.2918 c. M:-0.5981 c. 
 829: 70 67 69 71 67 71 70 68 69 69 68 70  SP        SD: 0.2814 c. M:-0.5910 c. 
 841: 71 68 70 72 68 72 71 69 70 70 69 71  SP        SD: 0.2721 c. M:-0.5841 c. 
 853: 72 69 71 73 69 73 72 70 71 71 70 72  SP        SD: 0.2641 c. M:-0.5774 c. 
 865: 73 70 72 74 70 74 73 71 72 72 71 73  SP        SD: 0.2572 c. M:-0.5709 c. 
 877: 74 71 73 75 71 75 74 72 73 73 72 74  SP        SD: 0.2515 c. M:-0.5646 c. 
 889: 75 72 74 76 72 76 75 73 74 74 73 75  SP        SD: 0.2469 c. M:-0.5584 c. 
 901: 76 73 75 77 73 77 76 74 75 75 74 76  SP        SD: 0.2434 c. M:-0.5524 c. 
 902: 76 73 75 77 73 78 76 73 76 75 74 76  SP        SD: 0.3074 c. M: 0.4840 c. 
 906: 76 74 75 78 73 78 76 74 76 75 75 76  SP        SD: 0.2692 c. M:-0.5234 c. 
 913: 77 74 76 78 74 78 77 75 76 76 75 77  SP        SD: 0.2410 c. M:-0.5466 c. 
 914: 77 74 76 78 74 79 77 74 77 76 75 77  SP        SD: 0.2913 c. M: 0.4520 c. 
 918: 77 75 76 79 74 79 77 75 77 76 76 77  SP        SD: 0.2636 c. M:-0.5061 c. 
 925: 78 75 77 79 75 79 78 76 77 77 76 78  SP        SD: 0.2396 c. M:-0.5409 c. 
 926: 78 75 77 79 75 80 78 75 78 77 76 78  SP        SD: 0.2760 c. M:-0.4208 c. 
 930: 78 76 77 80 75 80 78 76 78 77 77 78  SP        SD: 0.2590 c. M:-0.4892 c. 
 937: 79 76 78 80 76 80 79 77 78 78 77 79  SP        SD: 0.2392 c. M:-0.5354 c. 
 938: 79 76 78 80 76 81 79 76 79 78 77 79  SP        SD: 0.2613 c. M:-0.3904 c. 
 942: 79 77 78 81 76 81 79 77 79 78 78 79  SP        SD: 0.2553 c. M:-0.4728 c. 
 949: 80 77 79 81 77 81 80 78 79 79 78 80  SP        SD: 0.2397 c. M:-0.5300 c. 
 950: 80 77 79 81 77 82 80 77 80 79 78 80  SP        SD: 0.2475 c. M: 0.3801 c. 
 961: 81 78 80 82 78 82 81 79 80 80 79 81  SP        SD: 0.2410 c. M:-0.5247 c. 
 962: 81 78 80 82 78 83 81 78 81 80 79 81  SP        SD: 0.2344 c. M: 0.3853 c. 
 974: 82 79 81 83 79 84 82 79 82 81 80 82  SP        SD: 0.2222 c. M: 0.3904 c. 
 986: 83 80 82 84 80 85 83 80 83 82 81 83  SP        SD: 0.2108 c. M: 0.3954 c. 
 998: 84 81 83 85 81 86 84 81 84 83 82 84  SP        SD: 0.2003 c. M: 0.4003 c. 
 1010: 85 82 84 86 82 87 85 82 85 84 83 85  SP        SD: 0.1907 c. M: 0.4051 c. 
 1022: 86 83 85 87 83 88 86 83 86 85 84 86  SP        SD: 0.1821 c. M: 0.4097 c. 
 1034: 87 84 86 88 84 89 87 84 87 86 85 87  SP        SD: 0.1746 c. M: 0.4143 c. 
 1046: 88 85 87 89 85 90 88 85 88 87 86 88  SP        SD: 0.1680 c. M: 0.4187 c. 
 1058: 89 86 88 90 86 91 89 86 89 88 87 89  SP        SD: 0.1626 c. M: 0.4230 c. 
 1070: 90 87 89 91 87 92 90 87 90 89 88 90  SP        SD: 0.1584 c. M: 0.4273 c. 
 1082: 91 88 90 92 88 93 91 88 91 90 89 91  SP        SD: 0.1552 c. M: 0.4314 c. 
 1094: 92 89 91 93 89 94 92 89 92 91 90 92  SP        SD: 0.1532 c. M: 0.4355 c. 
 1106: 93 90 92 94 90 95 93 90 93 92 91 93  SP        SD: 0.1523 c. M: 0.4394 c. 
 1239: 104 101 103 106 100 107 104 101 104 103 102 104  SP        SD: 0.1980 c. M:-0.3749 c. 
 1246: 105 101 104 106 101 107 105 102 104 104 102 105  SP        SD: 0.1920 c. M:-0.4295 c. 
 1251: 105 102 104 107 101 108 105 102 105 104 103 105  SP        SD: 0.1911 c. M:-0.3610 c. 
 1258: 106 102 105 107 102 108 106 103 105 105 103 106  SP        SD: 0.1880 c. M:-0.4264 c. 
 1263: 106 103 105 108 102 109 106 103 106 105 104 106  SP        SD: 0.1849 c. M:-0.3473 c. 
 1270: 107 103 106 108 103 109 107 104 106 106 104 107  SP        SD: 0.1846 c. M:-0.4234 c. 
 1275: 107 104 106 109 103 110 107 104 107 106 105 107  SP        SD: 0.1795 c. M:-0.3339 c. 
 1287: 108 105 107 110 104 111 108 105 108 107 106 108  SP        SD: 0.1747 c. M:-0.3207 c. 
 1299: 109 106 108 111 105 112 109 106 109 108 107 109  SP        SD: 0.1706 c. M:-0.3078 c. 
 1311: 110 107 109 112 106 113 110 107 110 109 108 110  SP        SD: 0.1672 c. M: 0.3060 c. 
 1323: 111 108 110 113 107 114 111 108 111 110 109 111  SP        SD: 0.1646 c. M: 0.3123 c. 
 1335: 112 109 111 114 108 115 112 109 112 111 110 112  SP        SD: 0.1627 c. M: 0.3184 c. 
 1347: 113 110 112 115 109 116 113 110 113 112 111 113  SP        SD: 0.1615 c. M: 0.3244 c. 
 1359: 114 111 113 116 110 117 114 111 114 113 112 114  SP        SD: 0.1609 c. M: 0.3303 c. 
 1419: 120 115 118 121 115 122 119 116 119 118 117 119  SP        SD: 0.1926 c. M:-0.4874 c. 
 1427: 120 116 119 122 115 123 120 116 120 119 117 120  SP        SD: 0.1873 c. M:-0.3308 c. 
 1431: 121 116 119 122 116 123 120 117 120 119 118 120  SP        SD: 0.1916 c. M:-0.4750 c. 
 1439: 121 117 120 123 116 124 121 117 121 120 118 121  SP        SD: 0.1808 c. M:-0.3250 c. 
 1451: 122 118 121 124 117 125 122 118 122 121 119 122  SP        SD: 0.1749 c. M:-0.3192 c. 
 1461: 123 119 121 125 118 126 123 119 122 122 120 123  SP        SD: 0.1934 c. M: 0.3037 c. 
 1463: 123 119 122 125 118 126 123 119 123 122 120 123  SP        SD: 0.1695 c. M:-0.3136 c. 
 1473: 124 120 122 126 119 127 124 120 123 123 121 124  SP        SD: 0.1869 c. M:-0.2853 c. 
 1475: 124 120 123 126 119 127 124 120 124 123 121 124  SP        SD: 0.1646 c. M:-0.3080 c. 
 1485: 125 121 123 127 120 128 125 121 124 124 122 125  SP        SD: 0.1809 c. M:-0.2795 c. 
 1487: 125 121 124 127 120 128 125 121 125 124 122 125  SP        SD: 0.1603 c. M:-0.3026 c. 
 1499: 126 122 125 128 121 129 126 122 126 125 123 126  SP        SD: 0.1565 c. M:-0.2972 c. 
 1511: 127 123 126 129 122 130 127 123 127 126 124 127  SP        SD: 0.1534 c. M:-0.2919 c. 
 1523: 128 124 127 130 123 131 128 124 128 127 125 128  SP        SD: 0.1508 c. M:-0.2867 c. 
 1535: 129 125 128 131 124 132 129 125 129 128 126 129  SP        SD: 0.1488 c. M:-0.2815 c. 
 1547: 130 126 129 132 125 133 130 126 130 129 127 130  SP        SD: 0.1474 c. M:-0.2765 c. 
 1559: 131 127 130 133 126 134 131 127 131 130 128 131  SP        SD: 0.1465 c. M:-0.2715 c. 
 1571: 132 128 131 134 127 135 132 128 132 131 129 132  SP        SD: 0.1462 c. M:-0.2666 c. 
 1583: 133 129 132 135 128 136 133 129 133 132 130 133  SP        SD: 0.1465 c. M:-0.2618 c. 
 1617: 136 131 135 138 131 139 136 132 135 135 133 136  SP        SD: 0.1456 c. M: 0.3636 c. 
 1629: 137 132 136 139 132 140 137 133 136 136 134 137  SP        SD: 0.1412 c. M: 0.3500 c. 
 1641: 138 133 137 140 133 141 138 134 137 137 135 138  SP        SD: 0.1373 c. M: 0.3365 c. 
 1653: 139 134 138 141 134 142 139 135 138 138 136 139  SP        SD: 0.1340 c. M: 0.3232 c. 
 1665: 140 135 139 142 135 143 140 136 139 139 137 140  SP        SD: 0.1312 c. M: 0.3101 c. 
 1677: 141 136 140 143 136 144 141 137 140 140 138 141  SP        SD: 0.1289 c. M: 0.2972 c. 
 1689: 142 137 141 144 137 145 142 138 141 141 139 142  SP        SD: 0.1272 c. M: 0.2857 c. 
 1701: 143 138 142 145 138 146 143 139 142 142 140 143  SP        SD: 0.1260 c. M: 0.2870 c. 
 1713: 144 139 143 146 139 147 144 140 143 143 141 144  SP        SD: 0.1255 c. M: 0.2882 c. 
 1725: 145 140 144 147 140 148 145 141 144 144 142 145  SP        SD: 0.1254 c. M: 0.2894 c. 
 1808: 152 147 151 154 146 156 152 147 152 150 149 152  SP        SD: 0.1727 c. M:-0.2576 c. 
 1809: 152 147 151 154 147 155 152 148 151 151 149 152  SP        SD: 0.1376 c. M: 0.2975 c. 
 1851: 156 150 154 158 150 159 156 151 155 154 152 156  SP        SD: 0.1406 c. M: 0.2574 c. 
 1863: 157 151 155 159 151 160 157 152 156 155 153 157  SP        SD: 0.1352 c. M: 0.2501 c. 
 1875: 158 152 156 160 152 161 158 153 157 156 154 158  SP        SD: 0.1301 c. M: 0.2429 c. 
 1887: 159 153 157 161 153 162 159 154 158 157 155 159  SP        SD: 0.1254 c. M: 0.2358 c. 
 1899: 160 154 158 162 154 163 160 155 159 158 156 160  SP        SD: 0.1211 c. M: 0.2287 c. 
 1911: 161 155 159 163 155 164 161 156 160 159 157 161  SP        SD: 0.1172 c. M: 0.2218 c. 
 1923: 162 156 160 164 156 165 162 157 161 160 158 162  SP        SD: 0.1137 c. M: 0.2149 c. 
 1935: 163 157 161 165 157 166 163 158 162 161 159 163  SP        SD: 0.1107 c. M: 0.2082 c. 
 1947: 164 158 162 166 158 167 164 159 163 162 160 164  SP        SD: 0.1081 c. M: 0.2015 c. 
 1959: 165 159 163 167 159 168 165 160 164 163 161 165  SP        SD: 0.1061 c. M: 0.1949 c. 
 1971: 166 160 164 168 160 169 166 161 165 164 162 166  SP        SD: 0.1045 c. M: 0.1923 c. 
 1983: 167 161 165 169 161 170 167 162 166 165 163 167  SP        SD: 0.1034 c. M: 0.1960 c. 
 1995: 168 162 166 170 162 171 168 163 167 166 164 168  SP        SD: 0.1028 c. M: 0.1996 c. 
 2007: 169 163 167 171 163 172 169 164 168 167 165 169  SP        SD: 0.1026 c. M: 0.2032 c. 
 2150: 181 175 179 183 174 185 181 175 180 179 177 181  SP        SD: 0.1416 c. M:-0.1897 c. 
 2151: 181 175 179 183 175 184 181 176 180 179 177 181  SP        SD: 0.1296 c. M: 0.2432 c. 
 2152: 181 175 179 184 174 185 181 175 181 179 177 181  SP        SD: 0.1027 c. M: 0.2633 c. 
 2164: 182 176 180 185 175 186 182 176 182 180 178 182  SP        SD: 0.0992 c. M: 0.2612 c. 
 2176: 183 177 181 186 176 187 183 177 183 181 179 183  SP        SD: 0.0961 c. M: 0.2592 c. 
 2188: 184 178 182 187 177 188 184 178 184 182 180 184  SP        SD: 0.0934 c. M: 0.2572 c. 
 2200: 185 179 183 188 178 189 185 179 185 183 181 185  SP        SD: 0.0912 c. M: 0.2552 c. 
 2212: 186 180 184 189 179 190 186 180 186 184 182 186  SP        SD: 0.0894 c. M: 0.2532 c. 
 2224: 187 181 185 190 180 191 187 181 187 185 183 187  SP        SD: 0.0880 c. M: 0.2512 c. 
 2236: 188 182 186 191 181 192 188 182 188 186 184 188  SP        SD: 0.0871 c. M: 0.2493 c. 
 2248: 189 183 187 192 182 193 189 183 189 187 185 189  SP        SD: 0.0866 c. M: 0.2474 c. 
 2260: 190 184 188 193 183 194 190 184 190 188 186 190  SP        SD: 0.0866 c. M: 0.2455 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: 0.0000 cents
 3 x x x x 4 x x x 5 x x 6  S SD: 5.3682 cents
 4 x x x 5 x x 6 x x 7 x 8  S SD: 8.6780 cents
 5 x x 6 x x 7 x 8 x 9 x 10  S SD: 6.7186 cents
 6 x x 7 x 8 x 9 x 10:11 x 12  S SD: 10.0757 cents
 7 x 8 x 9 x 10 x 11:12 x 13:14  S SD: 9.7241 cents
 8 x 9 x 10 x 11:12:13 x 14:15:16  S SD: 9.2527 cents
 9 x 10:11 x 12:13 x 14:15:16:17:18  S SD: 8.1857 cents
 10 x 11:12 x 13:14:15:16:17:18:19:20  S SD: 6.8180 cents
 11 x 12:13:14:15:16 x 17:19:20:21:22    SD: 11.0810 cents
 12:13 x 14:15:16:17:18:19:20:21:23:24    SD: 6.1883 cents
 13:14:15 x 16:17:18:20:21:22:23:25:26    SD: 9.8018 cents
 14:15:16:17:18:19:20:21:22:24:25:26:28  S SD: 7.1428 cents
 15:16:17:18:19:20:21:23:24:25:27:28:30    SD: 5.0672 cents
 16:17:18:19:20:21:23:24:25:27:29:30:32    SD: 4.9173 cents
 22:23:25:26:28:29:31:33:35:37:39:42:44    SD: 4.1005 cents
 26:28:29:31:33:35:37:39:41:44:46:49:52    SD: 3.5189 cents
 27:29:30:32:34:36:38:41:43:45:48:51:54    SD: 3.3866 cents
 31:33:35:37:39:41:44:47:49:52:55:58:62    SD: 2.8597 cents
 32:34:36:38:40:43:45:48:51:54:57:60:64    SD: 2.2852 cents
 34:36:38:40:43:45:48:51:54:57:61:64:68    SD: 2.2519 cents
 42:45:47:50:53:56:59:63:67:71:75:79:84    SD: 2.2325 cents
 46:49:52:55:58:61:65:69:73:77:82:87:92    SD: 1.9822 cents
 48:51:54:57:61:64:68:72:76:81:86:91:96    SD: 1.7677 cents
 50:53:56:59:63:67:71:75:79:84:89:94:100    SD: 1.6023 cents
 60:64:67:71:76:80:85:90:95:101:107:113:120    SD: 1.5053 cents
 63:67:71:75:79:84:89:95:100:106:112:119:126    SD: 1.4661 cents
 64:68:72:76:81:85:91:96:102:108:114:121:128    SD: 1.4457 cents
 65:69:73:77:82:87:92:98:103:109:116:123:130    SD: 1.2703 cents
 68:72:76:81:86:91:96:102:108:114:121:128:136    SD: 1.2072 cents
 80:85:90:95:101:107:113:120:127:135:143:151:160    SD: 1.0164 cents
 82:87:92:97:103:109:116:123:130:138:146:155:164    SD: 0.9960 cents
 84:89:94:100:106:112:119:126:133:141:150:158:168    SD: 0.8658 cents
 96:102:108:114:121:128:136:144:152:161:171:181:192    SD: 0.8286 cents
 100:106:112:119:126:133:142:150:159:168:178:189:200    SD: 0.8127 cents
 106:112:119:126:134:141:150:159:168:178:189:200:212    SD: 0.8110 cents
 114:121:128:135:144:152:161:171:181:192:203:215:228    SD: 0.7141 cents
 116:123:130:138:146:155:164:174:184:195:207:219:232    SD: 0.5201 cents
 138:146:155:164:174:184:195:207:219:232:246:260:276    SD: 0.4801 cents
 150:159:168:178:189:200:212:225:238:252:267:283:300    SD: 0.4189 cents
 180:191:202:214:227:240:255:270:286:303:321:340:360    SD: 0.3632 cents
 214:227:240:254:270:285:303:321:340:360:381:404:428    SD: 0.3592 cents
 230:244:258:273:290:307:325:345:365:387:410:434:460    SD: 0.3258 cents
 238:252:267:283:300:317:337:357:378:400:424:449:476    SD: 0.3223 cents
 246:261:276:292:310:328:348:369:390:414:438:464:492    SD: 0.3106 cents
 264:280:296:314:333:352:374:396:419:444:470:498:528    SD: 0.3027 cents
 280:297:314:333:353:373:396:420:444:471:499:528:560    SD: 0.2820 cents
 298:316:334:354:376:397:422:447:473:501:531:562:596    SD: 0.2628 cents
 303:321:340:360:382:404:429:455:481:510:540:572:606    SD: 0.2416 cents
 318:337:357:378:401:424:450:477:505:535:567:600:636    SD: 0.2025 cents
 330:350:370:392:416:440:467:495:524:555:588:623:660    SD: 0.1396 cents
 468:496:525:556:590:624:662:702:743:787:834:883:936    SD: 0.1006 cents