Scala analysis: rat-19et

Rational approximation of 19 equal temperament using 121/81 and 6/5

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:       3025/2916           63.533307 two (telepathma)
  2:        242/225           126.098455
  3:        135/121           189.542832
  4:        125/108           253.076139 semi-augmented whole tone
  5:          6/5             315.641287 minor third
  6:        605/486           379.174594
  7:        484/375           441.739742
  8:        162/121           505.184119
  9:         25/18            568.717426 classic augmented fourth
 10:         36/25            631.282574 classic diminished fifth
 11:        121/81            694.815881 two (undecimal neutral third)
 12:        375/242           758.260258
 13:        972/605           820.825406
 14:          5/3             884.358713 major sixth, BP sixth
 15:        216/125           946.923861 semi-augmented sixth
 16:        242/135          1010.457168
 17:        225/121          1073.901545 two (undecimal augmented fourth)
 18:       5832/3025         1136.466693
 19:          2/1            1200.000000 octave
SHOW/INTERVAL
  0:       3025/2916           63.5333 two (telepathma)
  1:       3025/2916           63.5333 two (telepathma)
  2:        648/625            62.5651 major diesis
  3:      30375/29282          63.4444 
  4:       3025/2916           63.5333 two (telepathma)
  5:        648/625            62.5651 major diesis
  6:       3025/2916           63.5333 two (telepathma)
  7:        648/625            62.5651 major diesis
  8:      30375/29282          63.4444 
  9:       3025/2916           63.5333 two (telepathma)
 10:        648/625            62.5651 major diesis
 11:       3025/2916           63.5333 two (telepathma)
 12:      30375/29282          63.4444 
 13:        648/625            62.5651 major diesis
 14:       3025/2916           63.5333 two (telepathma)
 15:        648/625            62.5651 major diesis
 16:       3025/2916           63.5333 two (telepathma)
 17:      30375/29282          63.4444 
 18:        648/625            62.5651 major diesis
 19:       3025/2916           63.5333 two (telepathma)
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   7 648/625             62.565 cents   major diesis
  1:   4 30375/29282         63.444 cents   
  1:   8 3025/2916           63.533 cents   two (telepathma)
  2:   4 78732/73205         126.010 cents  
  2:  10 242/225             126.098 cents  
  2:   4 3125/2904           126.978 cents  
  2:   1 9150625/8503056     127.067 cents  
  3:   2 17424/15625         188.664 cents  
  3:  12 135/121             189.543 cents  
  3:   5 14641/13122         189.632 cents  
  4:   6 17496/15125         252.108 cents  
  4:   3 58564/50625         252.197 cents  
  4:  10 125/108             253.076 cents  semi-augmented whole tone
  5:  16 6/5                 315.641 cents  minor third
  5:   1 140625/117128       316.521 cents  
  5:   2 378125/314928       316.609 cents  
  6:   4 3888/3125           378.206 cents  
  6:   5 18225/14641         379.086 cents  
  6:  10 605/486             379.175 cents  
  7:   3 472392/366025       441.651 cents  
  7:   8 484/375             441.740 cents  
  7:   6 625/484             442.619 cents  two (undecimal acute whole tone)
  7:   2 1830125/1417176     442.708 cents  
  8:  12 162/121             505.184 cents  
  8:   6 14641/10935         505.273 cents  
  8:   1 15625/11664         506.152 cents  two (semi-augmented whole tone)
  9:   4 104976/75625        567.749 cents  
  9:   2 117128/84375        567.838 cents  
  9:  13 25/18               568.717 cents  classic augmented fourth
 10:  13 36/25               631.283 cents  classic diminished fifth
 10:   2 84375/58564         632.162 cents  
 10:   4 75625/52488         632.251 cents  
 11:   1 23328/15625         693.848 cents  
 11:   6 21870/14641         694.727 cents  
 11:  12 121/81              694.816 cents  two (undecimal neutral third)
 12:   2 2834352/1830125     757.292 cents  
 12:   6 968/625             757.381 cents  
 12:   8 375/242             758.260 cents  
 12:   3 366025/236196       758.349 cents  
 13:  10 972/605             820.825 cents  
 13:   5 29282/18225         820.914 cents  
 13:   4 3125/1944           821.794 cents  
 14:   2 629856/378125       883.391 cents  
 14:   1 234256/140625       883.479 cents  
 14:  16 5/3                 884.359 cents  major sixth, BP sixth
 15:  10 216/125             946.924 cents  semi-augmented sixth
 15:   3 50625/29282         947.803 cents  
 15:   6 15125/8748          947.892 cents  
 16:   5 26244/14641         1010.368 cents 
 16:  12 242/135             1010.457 cents 
 16:   2 15625/8712          1011.336 cents 
 17:   1 17006112/9150625    1072.933 cents 
 17:   4 5808/3125           1073.022 cents 
 17:  10 225/121             1073.902 cents two (undecimal augmented fourth)
 17:   4 73205/39366         1073.990 cents 
 18:   8 5832/3025           1136.467 cents 
 18:   4 58564/30375         1136.556 cents 
 18:   7 625/324             1137.435 cents octave - major diesis
Highest number of different intervals for one interval class: 4
Average number of different intervals per interval class: 3.22222 = 29/9
SHOW/LINE/CENTS INTERVALS
         1    2     3     4     5     6     7     8     9     10    11    12    13    14    15    16     17     18     19    
 0.0   : 63.5 126.1 189.5 253.1 315.6 379.2 441.7 505.2 568.7 631.3 694.8 758.3 820.8 884.4 946.9 1010.5 1073.9 1136.5 1200.0
 63.5  : 62.6 126.0 189.5 252.1 315.6 378.2 441.7 505.2 567.7 631.3 694.7 757.3 820.8 883.4 946.9 1010.4 1072.9 1136.5 1200.0
 126.1 : 63.4 127.0 189.5 253.1 315.6 379.1 442.6 505.2 568.7 632.2 694.7 758.3 820.8 884.4 947.8 1010.4 1073.9 1137.4 1200.0
 189.5 : 63.5 126.1 189.6 252.2 315.6 379.2 441.7 505.3 568.7 631.3 694.8 757.4 820.9 884.4 946.9 1010.5 1074.0 1136.6 1200.0
 253.1 : 62.6 126.1 188.7 252.1 315.6 378.2 441.7 505.2 567.7 631.3 693.8 757.4 820.8 883.4 946.9 1010.5 1073.0 1136.5 1200.0
 315.6 : 63.5 126.1 189.5 253.1 315.6 379.2 442.6 505.2 568.7 631.3 694.8 758.3 820.8 884.4 947.9 1010.5 1073.9 1137.4 1200.0
 379.2 : 62.6 126.0 189.5 252.1 315.6 379.1 441.7 505.2 567.7 631.3 694.7 757.3 820.8 884.4 946.9 1010.4 1073.9 1136.5 1200.0
 441.7 : 63.4 127.0 189.5 253.1 316.5 379.1 442.6 505.2 568.7 632.2 694.7 758.3 821.8 884.4 947.8 1011.3 1073.9 1137.4 1200.0
 505.2 : 63.5 126.1 189.6 253.1 315.6 379.2 441.7 505.3 568.7 631.3 694.8 758.3 820.9 884.4 947.9 1010.5 1074.0 1136.6 1200.0
 568.7 : 62.6 126.1 189.5 252.1 315.6 378.2 441.7 505.2 567.7 631.3 694.8 757.4 820.8 884.4 946.9 1010.5 1073.0 1136.5 1200.0
 631.3 : 63.5 127.0 189.5 253.1 315.6 379.2 442.6 505.2 568.7 632.3 694.8 758.3 821.8 884.4 947.9 1010.5 1073.9 1137.4 1200.0
 694.8 : 63.4 126.0 189.5 252.1 315.6 379.1 441.7 505.2 568.7 631.3 694.7 758.3 820.8 884.4 946.9 1010.4 1073.9 1136.5 1200.0
 758.3 : 62.6 126.1 188.7 252.2 315.6 378.2 441.7 505.3 567.8 631.3 694.8 757.4 820.9 883.5 946.9 1010.5 1073.0 1136.6 1200.0
 820.8 : 63.5 126.1 189.6 253.1 315.6 379.2 442.7 505.3 568.7 632.3 694.8 758.3 820.9 884.4 947.9 1010.5 1074.0 1137.4 1200.0
 884.4 : 62.6 126.1 189.5 252.1 315.6 379.2 441.7 505.2 568.7 631.3 694.8 757.4 820.8 884.4 946.9 1010.5 1073.9 1136.5 1200.0
 946.9 : 63.5 127.0 189.5 253.1 316.6 379.2 442.6 506.2 568.7 632.3 694.8 758.3 821.8 884.4 947.9 1011.3 1073.9 1137.4 1200.0
 1010.5: 63.4 126.0 189.5 253.1 315.6 379.1 442.6 505.2 568.7 631.3 694.7 758.3 820.8 884.4 947.8 1010.4 1073.9 1136.5 1200.0
 1073.9: 62.6 126.1 189.6 252.2 315.6 379.2 441.7 505.3 567.8 631.3 694.8 757.4 820.9 884.4 946.9 1010.5 1073.0 1136.6 1200.0
 1136.5: 63.5 127.1 189.6 253.1 316.6 379.2 442.7 505.3 568.7 632.3 694.8 758.3 821.8 884.4 947.9 1010.5 1074.0 1137.4 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  62.5651   .. 63.5333 cents       1890625/1889568, 0.9682 cents      648/625, 62.5651 cents
  2:  126.0095  .. 127.0666 cents      1.05709 cents                      229582512/221445125, 62.4762 cents
  3:  188.6636  .. 189.6318 cents      1890625/1889568, 0.9682 cents      1224440064/1181640625, 61.5970 cents
  4:  252.1080  .. 253.0761 cents      1890625/1889568, 0.9682 cents      229582512/221445125, 62.4762 cents
  5:  315.6413  .. 316.6094 cents      1890625/1889568, 0.9682 cents      648/625, 62.5651 cents
  6:  378.2064  .. 379.1746 cents      1890625/1889568, 0.9682 cents      1224440064/1181640625, 61.5970 cents
  7:  441.6508  .. 442.7079 cents      1.05709 cents                      229582512/221445125, 62.4762 cents
  8:  505.1841  .. 506.1523 cents      1890625/1889568, 0.9682 cents      229582512/221445125, 62.4762 cents
  9:  567.7493  .. 568.7174 cents      1890625/1889568, 0.9682 cents      1224440064/1181640625, 61.5970 cents
 10:  631.2826  .. 632.2507 cents      1890625/1889568, 0.9682 cents      648/625, 62.5651 cents
 11:  693.8477  .. 694.8159 cents      1890625/1889568, 0.9682 cents      1224440064/1181640625, 61.5970 cents
 12:  757.2921  .. 758.3492 cents      1.05709 cents                      229582512/221445125, 62.4762 cents
 13:  820.8254  .. 821.7936 cents      1890625/1889568, 0.9682 cents      229582512/221445125, 62.4762 cents
 14:  883.3906  .. 884.3587 cents      1890625/1889568, 0.9682 cents      1224440064/1181640625, 61.5970 cents
 15:  946.9239  .. 947.8920 cents      1890625/1889568, 0.9682 cents      648/625, 62.5651 cents
 16:  1010.3682 .. 1011.3364 cents     1890625/1889568, 0.9682 cents      229582512/221445125, 62.4762 cents
 17:  1072.9334 .. 1073.9905 cents     1.05709 cents                      1224440064/1181640625, 61.5970 cents
 18:  1136.4667 .. 1137.4349 cents     1890625/1889568, 0.9682 cents      229582512/221445125, 62.4762 cents
SHOW DATA
Number of notes                     : 19
-- Interval properties --
Smallest interval                   : 648/625, 62.5651 cents, class 1
Average step (divided formal octave): 63.1579 cents
Largest one step interval           : 3025/2916, 63.5333 cents
Average / Smallest step             : 1.009474
Largest / Average step              : 1.005944
Largest / Smallest step             : 1.015474
Median interval of one step         : 30375/29282, 63.4444 cents, amount: 4
Most common interval of one step    : 3025/2916, 63.5333 cents, amount: 8
Least squares average step          : 63.15490 cents, oct.:  1199.94308 cents
Scale is strictly proper
Step pattern alph. order: ABCABABCABACBABACBA
Step pattern size order : LSMLSLSMLSLMSLSLMSL
Scale is a Constant Structure, by a margin of 61.59699 cents
Scale diversity                     : 1.010060
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.985181
Number of different interval sizes  : 58 = 3.22222 / class
Number of one step interval sizes   : 3
Highest interval variety            : 4
Mean interval variety               : 3.22222 = 29/9
Median interval variety             : 3
Lowest interval variety             : 3
Smallest interval difference        : 1771561/1771470, 0.0889 cents
Most common intervals               : 6/5, 315.6413 cents & inv., amount: 16
Most common triad is 0.0 315.641 884.359 cents, amount: 13
Number of recognisable fifths       : 19, average 694.7368 cents
Best fifths form a closed circle
Best major thirds form a closed circle
Best minor thirds form a closed circle
Scale contains a complete diamond   : 81 121 135 225 375
Formal octave complements present   : 19 = 100.0000%
Limited transpositions with margin 0.9682 cents:
 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
Limited inverse transpositions with margin 0.9682 cents:
 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
Inversional symmetry on degrees     :
 0
Inversional symmetry on intervals   :
 9-10
-- Rational properties --
Prime limit                         : 11
Odd number limit                    : 9150625 (O: 9150625 U: 9150625)
Highest odd numerator or denominator: 3025
Scale harmonicity                   : 0.006751
Average absolute harmonicity        : 0.083903
Specific harmonicity                : 0.036168
Fundamental                         : 1/44104500, -25.3944 octaves, 0.0000 Hz.
Guide tone                          : 88209000,  26.3944 octaves, 23077729489.636 Hz.
Exponens Consonantiae               : 3.890414E+15, 51.78885 octaves
Euler's gradus suavitatis           : 94
Sum of Mann's harmonic distance     : 10786.5, average 567.71053
Mersenne's string divisions         : too high to compute
Sum of van Prooijen's expressibility: 39.19127, average 2.06270
Sum of Tenney's harmonic distance   : 78.95179, average 4.15536
Vogel's harmonic complexity         : 57.52632
Wille's k value                     : 25523437
Wilson's harmonic complexity        : 110
Rectangular lattice diameter        : 22
Triangular lattice diameter         : 12
Lattice compactness                 : 1067.05072, average 5.61606
Lattice compactness (without 2's)   : 999.55904, average 5.26084
Number of different primes          : 4
Prime exponents' range, average, count, tones@limit:
  2:  -2 .. 3         0.52632   24    1
  3:  -6 .. 6         0.00000   54
  5:  -3 .. 3         0.00000   30    6
 11:  -2 .. 2         0.00000   24    12
Average exponent except 2's         : 0 / 19 = 0.00000
Average absolute exponent except 2's: 108 / 19 = 5.68421
Scale is weakly epimorphic with val: <19 27 41 65|
Scale is weakly epimorphic with val: <19 27 41 69|
Scale is weakly epimorphic with val: <19 27 42 66|
Scale is weakly epimorphic with val: <19 27 43 63|
Scale is weakly epimorphic with val: <19 27 44 66|
Scale is weakly epimorphic with val: <19 27 47 67|
Scale is weakly epimorphic with val: <19 28 42 67|
Scale is weakly epimorphic with val: <19 28 43 68|
Scale is weakly epimorphic with val: <19 28 44 65|
Scale is weakly epimorphic with val: <19 28 45 68|
Scale is weakly epimorphic with val: <19 29 43 69|
Scale is weakly epimorphic with val: <19 29 44 63|
Scale is weakly epimorphic with val: <19 29 45 67|
Scale is weakly epimorphic with val: <19 29 46 64|
Scale is weakly epimorphic with val: <19 29 47 64|
Scale is weakly epimorphic with val: <19 30 41 65|
Scale is weakly epimorphic with val: <19 30 42 64|
Scale is weakly epimorphic with val: <19 30 45 65|
Scale is weakly epimorphic with val: <19 30 46 69|
Scale is weakly epimorphic with val: <19 30 47 66|
Scale is weakly epimorphic with val: <19 31 42 67|
Scale is weakly epimorphic with val: <19 31 43 64|
Scale is weakly epimorphic with val: <19 31 43 66|
Scale is weakly epimorphic with val: <19 31 46 67|
Scale is weakly epimorphic with val: <19 32 41 67|
Scale is weakly epimorphic with val: <19 32 43 69|
Scale is weakly epimorphic with val: <19 32 44 66|
Scale is weakly epimorphic with val: <19 32 44 68|
Scale is weakly epimorphic with val: <19 32 45 63|
Scale is weakly epimorphic with val: <19 32 47 69|
Scale is weakly epimorphic with val: <19 33 42 69|
Scale is weakly epimorphic with val: <19 33 43 63|
Scale is weakly epimorphic with val: <19 33 45 68|
Scale is weakly epimorphic with val: <19 33 46 64|
Scale is weakly epimorphic with val: <19 33 46 65|
FIT/MODE
 19:  1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1  SP B ME I SD: 0.2699 c. M: 0.4446 c. 
 658: 35 34 35 35 34 35 34 35 35 34 35 35 34 35 34 35 35 34 35  SP M ME I SD: 0.2580 c. M: 0.4193 c. 
 677: 36 35 36 36 35 36 35 36 36 35 36 36 35 36 35 36 36 35 36  SP M ME I SD: 0.2433 c. M:-0.3951 c. 
 696: 37 36 37 37 36 37 36 37 37 36 37 37 36 37 36 37 37 36 37  SP M ME I SD: 0.2294 c. M: 0.3721 c. 
 715: 38 37 38 38 37 38 37 38 38 37 38 38 37 38 37 38 38 37 38  SP M ME I SD: 0.2163 c. M:-0.3504 c. 
 734: 39 38 39 39 38 39 38 39 39 38 39 39 38 39 38 39 39 38 39  SP M ME I SD: 0.2038 c. M: 0.3299 c. 
 753: 40 39 40 40 39 40 39 40 40 39 40 40 39 40 39 40 40 39 40  SP M ME I SD: 0.1920 c. M: 0.3103 c. 
 772: 41 40 41 41 40 41 40 41 41 40 41 41 40 41 40 41 41 40 41  SP M ME I SD: 0.1808 c. M:-0.2917 c. 
 791: 42 41 42 42 41 42 41 42 42 41 42 42 41 42 41 42 42 41 42  SP M ME I SD: 0.1701 c. M:-0.2741 c. 
 810: 43 42 43 43 42 43 42 43 43 42 43 43 42 43 42 43 43 42 43  SP M ME I SD: 0.1600 c. M: 0.2583 c. 
 829: 44 43 44 44 43 44 43 44 44 43 44 44 43 44 43 44 44 43 44  SP M ME I SD: 0.1503 c. M: 0.2440 c. 
 848: 45 44 45 45 44 45 44 45 45 44 45 45 44 45 44 45 45 44 45  SP M ME I SD: 0.1411 c. M: 0.2303 c. 
 867: 46 45 46 46 45 46 45 46 46 45 46 46 45 46 45 46 46 45 46  SP M ME I SD: 0.1323 c. M: 0.2173 c. 
 886: 47 46 47 47 46 47 46 47 47 46 47 47 46 47 46 47 47 46 47  SP M ME I SD: 0.1238 c. M: 0.2048 c. 
 905: 48 47 48 48 47 48 47 48 48 47 48 48 47 48 47 48 48 47 48  SP M ME I SD: 0.1158 c. M:-0.1928 c. 
 924: 49 48 49 49 48 49 48 49 49 48 49 49 48 49 48 49 49 48 49  SP M ME I SD: 0.1081 c. M: 0.1813 c. 
 943: 50 49 50 50 49 50 49 50 50 49 50 50 49 50 49 50 50 49 50  SP M ME I SD: 0.1008 c. M:-0.1703 c. 
 962: 51 50 51 51 50 51 50 51 51 50 51 51 50 51 50 51 51 50 51  SP M ME I SD: 0.0937 c. M:-0.1597 c. 
 981: 52 51 52 52 51 52 51 52 52 51 52 52 51 52 51 52 52 51 52  SP M ME I SD: 0.0870 c. M:-0.1495 c. 
 1000: 53 52 53 53 52 53 52 53 53 52 53 53 52 53 52 53 53 52 53  SP M ME I SD: 0.0806 c. M: 0.1397 c. 
 1019: 54 53 54 54 53 54 53 54 54 53 54 54 53 54 53 54 54 53 54  SP M ME I SD: 0.0744 c. M: 0.1303 c. 
 1038: 55 54 55 55 54 55 54 55 55 54 55 55 54 55 54 55 55 54 55  SP M ME I SD: 0.0686 c. M: 0.1212 c. 
 1057: 56 55 56 56 55 56 55 56 56 55 56 56 55 56 55 56 56 55 56  SP M ME I SD: 0.0630 c. M: 0.1125 c. 
 1076: 57 56 57 57 56 57 56 57 57 56 57 57 56 57 56 57 57 56 57  SP M ME I SD: 0.0577 c. M: 0.1041 c. 
 1095: 58 57 58 58 57 58 57 58 58 57 58 58 57 58 57 58 58 57 58  SP M ME I SD: 0.0526 c. M: 0.0959 c. 
 1114: 59 58 59 59 58 59 58 59 59 58 59 59 58 59 58 59 59 58 59  SP M ME I SD: 0.0479 c. M:-0.0880 c. 
 1133: 60 59 60 60 59 60 59 60 60 59 60 60 59 60 59 60 60 59 60  SP M ME I SD: 0.0434 c. M:-0.0804 c. 
 1152: 61 60 61 61 60 61 60 61 61 60 61 61 60 61 60 61 61 60 61  SP M ME I SD: 0.0393 c. M: 0.0731 c. 
 1171: 62 61 62 62 61 62 61 62 62 61 62 62 61 62 61 62 62 61 62  SP M ME I SD: 0.0355 c. M: 0.0660 c. 
 1190: 63 62 63 63 62 63 62 63 63 62 63 63 62 63 62 63 63 62 63  SP M ME I SD: 0.0321 c. M:-0.0591 c. 
 1209: 64 63 64 64 63 64 63 64 64 63 64 64 63 64 63 64 64 63 64  SP M ME I SD: 0.0292 c. M: 0.0524 c. 
 1228: 65 64 65 65 64 65 64 65 65 64 65 65 64 65 64 65 65 64 65  SP M ME I SD: 0.0268 c. M:-0.0459 c. 
 1247: 66 65 66 66 65 66 65 66 66 65 66 66 65 66 65 66 66 65 66  SP M ME I SD: 0.0250 c. M: 0.0397 c. 
 1266: 67 66 67 67 66 67 66 67 67 66 67 67 66 67 66 67 67 66 67  SP M ME I SD: 0.0239 c. M: 0.0336 c. 
 1285: 68 67 68 68 67 68 67 68 68 67 68 68 67 68 67 68 68 67 68  SP M ME I SD: 0.0235 c. M: 0.0314 c. 
FIT/HARMONIC
 1 .. 2  match: 1  H SD: 0.0000 cents
 2 .. 4  match: 2  H SD: 3.5696 cents
 3 .. 6  match: 3  H SD: 2.3797 cents
 4 .. 8  match: 4  H SD: 6.0293 cents
 5 .. 10  match: 5  H SD: 3.4189 cents
 6 .. 12  match: 6  H SD: 4.9843 cents
 7 .. 14  match: 7  H SD: 5.5266 cents
 8 .. 16  match: 8  H SD: 5.1317 cents
 9 .. 18  match: 9  H SD: 5.1244 cents
 10 .. 20  match: 10  H SD: 5.0391 cents
 11 .. 22  match: 11  H SD: 6.5063 cents
 12 .. 24  match: 12  H SD: 4.6562 cents
 13 .. 26  match: 13  H SD: 4.3913 cents
 14 .. 28  match: 14  H SD: 4.0590 cents
 15 .. 30  match: 15  H SD: 4.0162 cents
 16 .. 32  match: 16  H SD: 4.1559 cents
 17 .. 34  match: 16  S SD: 5.1401 cents
 18 .. 36  match: 17    SD: 3.5852 cents
 19 .. 38  match: 17    SD: 4.8490 cents
 20 .. 40  match: 18    SD: 3.1978 cents
 21 .. 42  match: 18    SD: 3.7284 cents
 22 .. 44  match: 18    SD: 4.5202 cents
 23 .. 46  match: 19    SD: 3.5415 cents
 24 .. 48  match: 19    SD: 2.8116 cents
 25 .. 50  match: 19    SD: 2.5288 cents
 33 .. 66  match: 19    SD: 2.4806 cents
 34 .. 68  match: 19    SD: 2.4365 cents
 36 .. 72  match: 19    SD: 2.0828 cents
 38 .. 76  match: 19    SD: 2.0294 cents
 41 .. 82  match: 19    SD: 1.8920 cents
 44 .. 88  match: 19    SD: 1.5021 cents
 51 .. 102  match: 19    SD: 1.2678 cents
 62 .. 124  match: 19    SD: 1.2178 cents
 69 .. 138  match: 19    SD: 0.9345 cents
 77 .. 154  match: 19    SD: 0.8088 cents
 95 .. 190  match: 19    SD: 0.7321 cents
 102 .. 204  match: 19    SD: 0.7262 cents
 103 .. 206  match: 19    SD: 0.7171 cents
 106 .. 212  match: 19    SD: 0.5943 cents
 129 .. 258  match: 19    SD: 0.5702 cents
 130 .. 260  match: 19    SD: 0.5540 cents
 134 .. 268  match: 19    SD: 0.5383 cents
 135 .. 270  match: 19    SD: 0.5207 cents
 144 .. 288  match: 19    SD: 0.5000 cents
 154 .. 308  match: 19    SD: 0.4654 cents
 155 .. 310  match: 19    SD: 0.4590 cents
 159 .. 318  match: 19    SD: 0.4317 cents
 165 .. 330  match: 19    SD: 0.4297 cents
 180 .. 360  match: 19    SD: 0.3505 cents
 209 .. 418  match: 19    SD: 0.2824 cents
 216 .. 432  match: 19    SD: 0.2607 cents
 241 .. 482  match: 19    SD: 0.2492 cents
 265 .. 530  match: 19    SD: 0.2228 cents
 275 .. 550  match: 19    SD: 0.2192 cents
 293 .. 586  match: 19    SD: 0.2027 cents
 330 .. 660  match: 19    SD: 0.1877 cents
 348 .. 696  match: 19    SD: 0.1823 cents
 355 .. 710  match: 19    SD: 0.1806 cents
 371 .. 742  match: 19    SD: 0.1565 cents
 375 .. 750  match: 19    SD: 0.1552 cents
 399 .. 798  match: 19    SD: 0.1511 cents
 425 .. 850  match: 19    SD: 0.1495 cents
 450 .. 900  match: 19    SD: 0.1349 cents
 475 .. 950  match: 19    SD: 0.1308 cents
 478 .. 956  match: 19    SD: 0.1297 cents
 502 .. 1004  match: 19    SD: 0.1290 cents
 534 .. 1068  match: 19    SD: 0.1253 cents
 540 .. 1080  match: 19    SD: 0.1211 cents
 555 .. 1110  match: 19    SD: 0.0974 cents