Scala analysis: YoungMonochord

stringlengths in: 'Philosophical Transactions,vol90,London,(1800)'

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:     100000/94723          93.855985
  2:      12500/11163         195.843958
  3:     100000/84197         297.791118
  4:      12500/9969          391.688875
  5:     100000/74921         499.869527
  6:     100000/71041         591.931446
  7:      50000/33411         697.925918
  8:      25000/15787         795.829263
  9:      25000/14919         893.732709
 10:     100000/56131         999.756400
 11:      12500/6653         1091.821387
 12:          2/1            1200.000000 octave
SHOW/INTERVAL
  0:       6653/6250          108.1786 
  1:     100000/94723          93.8560 
  2:      94723/89304         101.9880 
  3:      89304/84197         101.9472 
  4:      84197/79752          93.8978 
  5:      79752/74921         108.1807 
  6:      74921/71041          92.0619 
  7:      71041/66822         105.9945 
  8:      33411/31574          97.9033 
  9:      15787/14919          97.9034 
 10:      59676/56131         106.0237 
 11:      56131/53224          92.0650 
 12:       6653/6250          108.1786 
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 74921/71041         92.062 cents   
  1:   1 56131/53224         92.065 cents   
  1:   1 100000/94723        93.856 cents   
  1:   1 84197/79752         93.898 cents   
  1:   1 33411/31574         97.903 cents   
  1:   1 15787/14919         97.903 cents   
  1:   1 89304/84197         101.947 cents  
  1:   1 94723/89304         101.988 cents  
  1:   1 71041/66822         105.994 cents  
  1:   1 59676/56131         106.024 cents  
  1:   1 6653/6250           108.179 cents  
  1:   1 79752/74921         108.181 cents  
  2:   1 11137/9946          195.807 cents  
  2:   1 12500/11163         195.844 cents  
  2:   1 3721/3323           195.845 cents  
  2:   1 10703/9546          198.056 cents  
  2:   1 14919/13306         198.089 cents  
  2:   1 79752/71041         200.243 cents  
  2:   1 56131/50000         200.244 cents  
  2:   1 106448/94723        202.035 cents  
  2:   1 84197/74921         202.078 cents  
  2:   1 71041/63148         203.898 cents  
  2:   1 63148/56131         203.927 cents  
  2:   1 94723/84197         203.935 cents  
  3:   1 112262/94723        294.100 cents  
  3:   1 84197/71041         294.140 cents  
  3:   1 74921/63148         295.960 cents  
  3:   1 15787/13306         295.992 cents  
  3:   1 100000/84197        297.791 cents  
  3:   1 94723/79752         297.833 cents  
  3:   1 71041/59676         301.801 cents  
  3:   1 66822/56131         301.830 cents  
  3:   1 13306/11163         304.023 cents  
  3:   1 89304/74921         304.026 cents  
  3:   1 13292/11137         306.237 cents  
  3:   1 14919/12500         306.267 cents  
  4:   1 12500/9969          391.689 cents  
  4:   1 74921/59676         393.863 cents  
  4:   1 33411/26612         393.895 cents  
  4:   1 89304/71041         396.087 cents  
  4:   1 56131/44652         396.088 cents  
  4:   1 119352/94723        400.123 cents  
  4:   1 84197/66822         400.135 cents  
  4:   1 19938/15787         404.140 cents  
  4:   1 15787/12500         404.171 cents  
  4:   1 106448/84197        405.970 cents  
  4:   1 94723/74921         406.014 cents  
  4:   1 71041/56131         407.825 cents  
  5:   1 126296/94723        498.027 cents  
  5:   1 112262/84197        498.035 cents  
  5:   1 84197/63148         498.038 cents  
  5:   1 94723/71041         498.075 cents  
  5:   1 13306/9969          499.867 cents  
  5:   1 100000/74921        499.870 cents  
  5:   1 74921/56131         499.887 cents  
  5:   1 71041/53224         499.890 cents  
  5:   1 6646/4973           502.044 cents  
  5:   1 33411/25000         502.074 cents  
  5:   1 14884/11137         502.082 cents  
  5:   1 4973/3721           502.111 cents  
  6:   1 100000/71041        591.931 cents  
  6:   1 56131/39876         591.932 cents  
  6:   1 74921/53224         591.952 cents  
  6:   1 133644/94723        595.930 cents  
  6:   1 84197/59676         595.942 cents  
  6:   1 22326/15787         599.985 cents  
  6:   1 15787/11163         600.015 cents  
  6:   1 119352/84197        604.058 cents  
  6:   1 94723/66822         604.070 cents  
  6:   1 106448/74921        608.048 cents  
  6:   1 79752/56131         608.068 cents  
  6:   1 71041/50000         608.069 cents  
  7:   1 7442/4973           697.889 cents  
  7:   1 11137/7442          697.918 cents  
  7:   1 50000/33411         697.926 cents  
  7:   1 4973/3323           697.956 cents  
  7:   1 106448/71041        700.110 cents  
  7:   1 112262/74921        700.113 cents  
  7:   1 74921/50000         700.130 cents  
  7:   1 9969/6653           700.133 cents  
  7:   1 142082/94723        701.925 cents  
  7:   1 126296/84197        701.962 cents  
  7:   1 84197/56131         701.965 cents  
  7:   1 94723/63148         701.973 cents  
  8:   1 112262/71041        792.175 cents  
  8:   1 149842/94723        793.986 cents  
  8:   1 84197/53224         794.030 cents  
  8:   1 25000/15787         795.829 cents  
  8:   1 15787/9969          795.860 cents  
  8:   1 133644/84197        799.865 cents  
  8:   1 94723/59676         799.877 cents  
  8:   1 89304/56131         803.912 cents  
  8:   1 71041/44652         803.913 cents  
  8:   1 53224/33411         806.105 cents  
  8:   1 119352/74921        806.137 cents  
  8:   1 9969/6250           808.311 cents  
  9:   1 25000/14919         893.733 cents  
  9:   1 11137/6646          893.763 cents  
  9:   1 74921/44652         895.974 cents  
  9:   1 11163/6653          895.977 cents  
  9:   1 56131/33411         898.170 cents  
  9:   1 119352/71041        898.199 cents  
  9:   1 159504/94723        902.167 cents  
  9:   1 84197/50000         902.209 cents  
  9:   1 26612/15787         904.008 cents  
  9:   1 126296/74921        904.040 cents  
  9:   1 142082/84197        905.860 cents  
  9:   1 94723/56131         905.900 cents  
 10:   1 168394/94723        996.065 cents  
 10:   1 56131/31574         996.073 cents  
 10:   1 126296/71041        996.102 cents  
 10:   1 149842/84197        997.922 cents  
 10:   1 94723/53224         997.965 cents  
 10:   1 100000/56131        999.756 cents  
 10:   1 71041/39876         999.757 cents  
 10:   1 26612/14919         1001.911 cents 
 10:   1 19092/10703         1001.944 cents 
 10:   1 6646/3721           1004.155 cents 
 10:   1 11163/6250          1004.156 cents 
 10:   1 19892/11137         1004.193 cents 
 11:   1 74921/39876         1091.819 cents 
 11:   1 12500/6653          1091.821 cents 
 11:   1 56131/29838         1093.976 cents 
 11:   1 133644/71041        1094.006 cents 
 11:   1 178608/94723        1098.012 cents 
 11:   1 84197/44652         1098.053 cents 
 11:   1 29838/15787         1102.097 cents 
 11:   1 63148/33411         1102.097 cents 
 11:   1 159504/84197        1106.102 cents 
 11:   1 94723/50000         1106.144 cents 
 11:   1 106448/56131        1107.935 cents 
 11:   1 142082/74921        1107.938 cents 
Highest number of different intervals for one interval class: 12
Average number of different intervals per interval class: 12.00000 = 12
SHOW/LINE/CENTS INTERVALS
         1     2     3     4     5     6     7     8     9     10     11     12    
 0.0   : 93.9  195.8 297.8 391.7 499.9 591.9 697.9 795.8 893.7 999.8  1091.8 1200.0
 93.9  : 102.0 203.9 297.8 406.0 498.1 604.1 702.0 799.9 905.9 998.0  1106.1 1200.0
 195.8 : 101.9 195.8 304.0 396.1 502.1 600.0 697.9 803.9 896.0 1004.2 1098.0 1200.0
 297.8 : 93.9  202.1 294.1 400.1 498.0 595.9 702.0 794.0 902.2 996.1  1098.1 1200.0
 391.7 : 108.2 200.2 306.2 404.1 502.0 608.1 700.1 808.3 902.2 1004.2 1106.1 1200.0
 499.9 : 92.1  198.1 296.0 393.9 499.9 592.0 700.1 794.0 896.0 997.9  1091.8 1200.0
 591.9 : 106.0 203.9 301.8 407.8 499.9 608.1 701.9 803.9 905.9 999.8  1107.9 1200.0
 697.9 : 97.9  195.8 301.8 393.9 502.1 595.9 697.9 799.9 893.8 1001.9 1094.0 1200.0
 795.8 : 97.9  203.9 296.0 404.2 498.0 600.0 702.0 795.9 904.0 996.1  1102.1 1200.0
 893.7 : 106.0 198.1 306.3 400.1 502.1 604.1 698.0 806.1 898.2 1004.2 1102.1 1200.0
 999.8 : 92.1  200.2 294.1 396.1 498.0 591.9 700.1 792.2 898.2 996.1  1094.0 1200.0
 1091.8: 108.2 202.0 304.0 406.0 499.9 608.0 700.1 806.1 904.0 1001.9 1107.9 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  92.0619   .. 108.1807 cents      16.11873 cents                     74921/71041, 92.0619 cents
  2:  195.8068  .. 203.9351 cents      942114958/937701989, 8.1283 cents  834395177/793213392, 87.6261 cents
  3:  294.0996  .. 306.2673 cents      1413172437/1403275000, 12.1677 cen 90.16445 cents
  4:  391.6889  .. 407.8250 cents      708207729/701637500, 16.1361 cents 156250000/148727511, 85.4216 cents
  5:  498.0267  .. 502.1112 cents      471057479/469947416, 4.0845 cents  90.20177 cents
  6:  591.9314  .. 608.0686 cents      16.13711 cents                     372100000/353286893, 89.8202 cents
  7:  697.8888  .. 701.9733 cents      471057479/469947416, 4.0845 cents  372100000/353286893, 89.8202 cents
  8:  792.1750  .. 808.3111 cents      708207729/701637500, 16.1361 cents 90.20177 cents
  9:  893.7327  .. 905.9004 cents      1413172437/1403275000, 12.1677 cen 156250000/148727511, 85.4216 cents
 10:  996.0649  .. 1004.1932 cents     942114958/937701989, 8.1283 cents  90.16445 cents
 11:  1091.8193 .. 1107.9381 cents     16.11873 cents                     834395177/793213392, 87.6261 cents
SHOW DATA
Number of notes                     : 12
-- Interval properties --
Smallest interval                   : 74921/71041, 92.0619 cents, class 1
Average step (divided formal octave): 100.0000 cents
Largest one step interval           : 79752/74921, 108.1807 cents
Average / Smallest step             : 1.086225
Largest / Average step              : 1.081807
Largest / Smallest step             : 1.175086
Median interval of one step         : 99.92530 cents, amount: 0
Least squares average step          : 99.53834 cents, oct.:  1194.46003 cents
Scale is strictly proper
Step pattern alph. order: ABCDEFGHIJKL
Step pattern size order : CGFDKAHEEIBJ
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 85.42158 cents
Scale diversity                     : 1.089992
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.892160
Rothenberg efficiency               : 0.166667   redundancy: 0.833333
Efficiency x scale size             : 2.000000
Number of different interval sizes  : 132 = 12.00000 / class
Number of one step interval sizes   : 12
Highest interval variety            : 12
Mean interval variety               : 12.00000 = 12
Median interval variety             : 12
Lowest interval variety             : 12
Smallest interval difference        : 0.00007 cents
Number of recognisable fifths       : 12, average 700.0000 cents
Best fifths form a closed circle
Formal octave complements present   : 1 = 8.3333%
Limited transpositions with margin 16.1371 cents:
 1 2 3 4 5 6 7 8 9 10 11
Limited inverse transpositions      :
 4
Inversional symmetry on degrees     :
 2 8
-- Rational properties --
Prime limit                         : 94723
Odd number limit                    : 94723 (O: 94723 U: 94723)
Highest odd numerator or denominator: 94723
Harmonicity values                  : limit above prime count
Fundamental                         : too low to compute
Guide tone                          : 100000,  16.6096 octaves, 26162556.530 Hz.
Sum of Mann's harmonic distance     : 555209.0, average 46267.41667
Mersenne's string divisions         : too high to compute
Sum of van Prooijen's expressibility: 49.14245, average 4.09520
Sum of Tenney's harmonic distance   : 100.22906, average 8.35242
Vogel's harmonic complexity         : too high to compute
Wille's k value                     : too high to compute
Lattice compactness                 : 250.71831, average 3.21434
Lattice compactness (without 2's)   : 170.89502, average 2.19096
Number of different primes          : 19
Prime exponents' range, average, count, tones@limit:
  2:   1 .. 5         3.50000   42    1
  3:  -1 .. 0        -0.33333   4
  5:   0 .. 5         4.58333   55
  7:  -2 .. 0        -0.25000   3
 11:  -1 .. 0        -0.08333   1
 19:  -1 .. 0        -0.08333   1
 37:  -1 .. 0        -0.08333   1
 43:  -1 .. 0        -0.08333   1     1
 61:  -2 .. 0        -0.16667   2     1
 139: -1 .. 0        -0.08333   1     1
 269: -1 .. 0        -0.08333   1
 313: -1 .. 0        -0.08333   1     1
 3323: -1 .. 0       -0.08333   1     1
 3739: -1 .. 0       -0.08333   1     1
 4973: -1 .. 0       -0.08333   1     1
 6653: -1 .. 0       -0.08333   1     1
 15787: -1 .. 0      -0.08333   1     1
 56131: -1 .. 0      -0.08333   1     1
 94723: -1 .. 0      -0.08333   1     1
Average exponent except 2's         : 32 / 12 = 2.66667
Average absolute exponent except 2's: 78 / 12 = 6.50000
FIT/MODE
 12:  1 1 1 1 1 1 1 1 1 1 1 1  SP B ME I SD: 5.1802 c. M:-8.3111 c.  Twelve-tone Chromatic (1/11-comma)
 55:  4 5 5 4 5 4 5 4 5 5 4 5  SP M ME   SD: 4.4677 c. M: 10.3747 c.  Meantone Chromatic (3/17-comma)
 67:  5 6 6 5 6 5 6 5 6 6 5 6  SP M ME   SD: 3.5160 c. M: 7.7696 c.  Meantone Chromatic (4/25-comma)
 73:  6 6 6 6 6 6 6 6 6 7 5 7  SP   D3   SD: 4.8068 c. M: 7.5150 c. 
 74:  6 6 6 6 7 6 6 6 6 7 5 7  SP   D3   SD: 4.0131 c. M:-8.0686 c. 
 77:  6 6 7 6 7 6 7 6 6 7 6 7  SP M ME   SD: 3.3529 c. M: 8.8310 c. 
 79:  6 7 7 6 7 6 7 6 7 7 6 7  SP M ME   SD: 3.0573 c. M:-6.0064 c.  Meantone Chromatic (3/20-comma)
 86:  7 7 7 7 8 6 8 7 7 8 6 8  SP   D3 S SD: 3.1072 c. M: 5.8849 c. 
 89:  7 8 7 7 8 7 8 7 7 8 7 8  SP M ME   SD: 2.5010 c. M:-6.4032 c. 
 91:  7 8 8 7 8 7 8 7 8 8 7 8  SP M ME   SD: 2.8846 c. M:-5.5056 c.  Meantone Chromatic (1/7-comma), Romieu-12
 97:  8 8 8 8 8 8 8 8 8 9 7 9  SP   D3   SD: 3.4770 c. M: 5.1424 c. 
 98:  8 8 8 8 9 7 9 8 8 9 7 9  SP   D3 S SD: 2.5360 c. M:-4.3252 c. 
 101: 8 8 9 8 9 8 9 8 8 9 8 9  SP M ME   SD: 2.2624 c. M: 5.7449 c. 
 110: 9 9 9 9 10 8 10 9 9 10 8 10  SP   D3 S SD: 2.2241 c. M:-4.3258 c. 
 113: 9 9 10 9 10 9 10 9 9 10 9 10  SP M ME   SD: 2.1052 c. M: 4.6935 c. 
 120: 9 11 10 9 11 9 11 10 9 11 9 11  SP   T3   SD: 2.6240 c. M:-4.1707 c. 
 122: 10 10 10 10 11 9 11 10 10 11 9 11  SP   D3 S SD: 2.1005 c. M:-4.5047 c. 
 125: 10 10 11 10 11 10 11 10 10 11 10 11  SP M ME   SD: 2.0967 c. M: 3.8440 c. 
 134: 11 11 11 11 12 10 12 11 11 12 10 12  SP   D3 S SD: 2.1004 c. M:-4.6515 c. 
 137: 11 11 12 11 12 11 12 11 11 12 11 12  SP M ME   SD: 2.1717 c. M:-3.6890 c. 
 140: 11 12 12 11 12 11 12 12 11 13 10 13  SP        SD: 2.2665 c. M: 3.6402 c. 
 142: 11 12 12 11 13 11 12 12 12 12 11 13  SP   D3 S SD: 2.1988 c. M: 4.9682 c. 
 144: 11 12 13 11 13 11 13 11 12 13 11 13  SP   T3   SD: 2.1054 c. M: 4.1773 c. 
 148: 12 12 13 11 14 11 13 12 12 13 12 13  SP        SD: 2.0738 c. M:-3.4413 c. 
 152: 12 13 13 12 13 12 13 13 12 14 11 14  SP        SD: 2.0921 c. M: 3.1891 c. 
 153: 12 13 13 12 14 11 14 12 13 13 12 14  SP        SD: 2.0053 c. M: 3.6962 c. 
 154: 12 13 13 12 14 12 13 13 13 13 12 14  SP   D3 S SD: 1.8794 c. M: 4.4194 c. 
 156: 12 13 14 12 14 12 14 12 13 14 12 14  SP   T3   SD: 1.8109 c. M: 3.5363 c. 
 165: 13 14 14 13 15 12 15 13 14 14 13 15  SP        SD: 1.7448 c. M: 3.3928 c. 
 166: 13 14 14 13 15 13 14 14 14 14 13 15  SP   D3 S SD: 1.6800 c. M: 3.9500 c. 
 168: 13 14 15 13 15 13 15 13 14 15 13 15  SP   T3   SD: 1.6348 c. M: 2.9868 c. 
 169: 13 15 14 13 15 13 15 14 14 15 13 15  SP        SD: 1.7732 c. M:-2.9726 c. 
 177: 14 15 15 14 16 13 16 14 15 15 14 16  SP        SD: 1.5916 c. M: 3.1462 c. 
 178: 14 15 15 14 16 14 16 14 15 15 14 16  SP   D3   SD: 1.5215 c. M:-3.1977 c. 
 180: 14 15 16 14 16 14 16 14 15 16 14 16  SP   T3   SD: 1.5593 c. M: 2.5106 c. 
 188: 15 16 16 14 17 15 16 16 15 17 14 17  SP        SD: 1.8139 c. M:-2.3713 c. 
 189: 15 16 16 15 17 14 17 15 16 16 15 17  SP        SD: 1.5296 c. M: 2.9310 c. 
 190: 15 16 16 15 17 15 17 15 16 16 15 17  SP   D3   SD: 1.5594 c. M:-3.1267 c. 
 192: 15 16 17 15 17 15 17 15 16 17 15 17  SP   T3   SD: 1.5613 c. M:-2.2089 c. 
 196: 15 17 17 15 18 15 17 16 16 17 15 18  SP      S SD: 1.4390 c. M:-2.2089 c. 
 208: 16 18 18 16 19 16 18 17 17 18 16 19  SP      S SD: 1.3699 c. M:-2.2993 c. 
 220: 17 19 19 17 20 17 19 18 18 19 17 20  SP      S SD: 1.3679 c. M:-2.6140 c. 
 221: 17 19 19 17 20 17 20 18 18 19 17 20  SP        SD: 1.3323 c. M:-2.5266 c. 
 223: 17 19 19 18 20 17 20 18 18 20 17 20  SP        SD: 1.2883 c. M: 2.3762 c. 
 234: 18 20 20 18 21 18 21 19 19 21 18 21  SP      S SD: 1.3368 c. M: 2.4336 c. 
 235: 18 20 20 19 21 18 21 19 19 21 18 21  SP        SD: 1.2174 c. M: 1.9411 c. 
 243: 19 21 20 19 22 19 21 20 20 21 19 22  SP        SD: 1.2114 c. M: 2.2255 c. 
 246: 19 21 21 19 22 19 22 20 20 22 19 22  SP      S SD: 1.1088 c. M: 2.3086 c. 
 247: 19 21 21 20 22 19 22 20 20 22 19 22  SP        SD: 1.2070 c. M:-1.8334 c. 
 255: 20 22 21 20 23 20 22 21 21 22 20 23  SP        SD: 1.1326 c. M: 2.1093 c. 
 258: 20 22 22 20 23 20 23 21 21 23 20 23  SP      S SD: 0.9388 c. M: 2.1951 c. 
 270: 21 23 23 21 24 21 24 22 22 24 21 24  SP      S SD: 0.8337 c. M: 2.0917 c. 
 277: 22 23 24 21 25 22 24 23 22 25 21 25  SP        SD: 1.1974 c. M: 1.7972 c. 
 278: 22 23 24 22 25 21 25 22 23 25 21 25  SP        SD: 1.0554 c. M:-1.6824 c. 
 282: 22 24 24 22 25 22 25 23 23 25 22 25  SP      S SD: 0.7961 c. M: 1.9972 c. 
 290: 23 24 25 23 26 22 26 23 24 26 22 26  SP        SD: 1.0424 c. M:-1.6229 c. 
 294: 23 25 25 23 26 23 26 24 24 26 22 27  SP        SD: 0.8117 c. M: 2.0255 c. 
 298: 23 26 25 23 27 23 26 25 24 26 23 27  SP        SD: 0.9405 c. M:-1.4862 c. 
 306: 24 26 26 24 27 24 27 25 25 27 23 28  SP        SD: 0.7488 c. M: 1.8303 c. 
 318: 25 27 27 25 28 25 28 26 26 28 24 29  SP        SD: 0.7428 c. M: 1.7563 c. 
 330: 26 28 28 26 30 25 29 27 27 29 25 30  SP      S SD: 0.8322 c. M:-1.9487 c. 
 341: 27 29 29 26 31 26 30 28 28 30 26 31  SP        SD: 0.8600 c. M:-1.3291 c. 
 342: 27 29 29 27 31 26 30 28 28 30 26 31  SP      S SD: 0.8987 c. M:-1.8849 c. 
 347: 27 30 29 27 32 26 31 28 28 31 27 31  SP        SD: 0.8936 c. M:-1.5714 c. 
 353: 28 30 30 27 32 27 31 29 29 31 27 32  SP        SD: 0.8127 c. M:-1.3590 c. 
 356: 28 30 30 28 32 28 31 29 29 32 27 32  SP        SD: 0.7786 c. M:-1.3672 c. 
 379: 30 32 32 30 34 29 33 31 31 34 29 34  SP        SD: 0.7757 c. M: 1.3560 c. 
 380: 30 32 32 30 34 29 34 31 31 34 29 34  SP      S SD: 0.7560 c. M: 1.4051 c. 
 387: 30 33 33 30 35 30 34 31 32 34 30 35  SP        SD: 0.8646 c. M: 2.0308 c. 
 389: 30 33 33 31 35 30 34 32 32 34 30 35  SP        SD: 0.8304 c. M: 1.6472 c. 
 391: 31 33 33 31 35 30 34 32 32 35 30 35  SP        SD: 0.7975 c. M:-1.2847 c. 
 392: 31 33 33 31 35 30 35 32 32 35 30 35  SP      S SD: 0.7402 c. M:-1.2640 c. 
 396: 31 34 33 31 36 30 35 33 32 35 30 36  SP        SD: 0.7510 c. M:-1.1404 c. 
 399: 31 34 34 31 36 31 35 32 33 35 31 36  SP        SD: 0.7633 c. M: 1.8443 c. 
 404: 32 34 34 32 36 31 36 33 33 36 31 36  SP      S SD: 0.7573 c. M:-1.2479 c. 
 407: 32 34 35 32 37 31 36 33 33 36 31 37  SP        SD: 0.7153 c. M:-1.3590 c. 
 408: 32 35 34 32 37 31 36 34 33 36 31 37  SP        SD: 0.6963 c. M:-1.2296 c. 
 411: 32 35 35 32 37 32 36 33 34 36 32 37  SP        SD: 0.6936 c. M: 1.6687 c. 
 420: 33 36 35 33 38 32 37 35 34 37 32 38  SP        SD: 0.6763 c. M:-1.3136 c. 
 423: 33 36 36 33 38 33 37 35 34 37 33 38  SP        SD: 0.6271 c. M:-1.3339 c. 
 424: 33 36 36 33 39 32 38 34 35 37 33 38  SP        SD: 0.7267 c. M:-1.1307 c. 
 432: 34 36 37 34 39 33 38 35 36 38 33 39  SP        SD: 0.6903 c. M: 1.3995 c. 
 436: 34 37 37 34 40 33 39 35 36 38 34 39  SP        SD: 0.6885 c. M:-1.1567 c. 
 442: 34 38 38 34 40 34 39 36 36 39 34 40  SP      S SD: 0.6427 c. M: 1.5483 c. 
 454: 35 39 39 35 41 35 40 37 37 40 35 41  SP      S SD: 0.5518 c. M: 1.3450 c. 
 456: 36 38 39 36 41 35 40 37 38 40 35 41  SP        SD: 0.6489 c. M: 1.1071 c. 
 459: 36 39 39 36 41 35 41 37 38 40 36 41  SP        SD: 0.6607 c. M: 1.0818 c. 
 463: 36 40 39 36 42 35 41 38 38 41 35 42  SP        SD: 0.6161 c. M:-1.1323 c. 
 466: 36 40 40 36 42 36 41 38 38 41 36 42  SP      S SD: 0.4919 c. M: 1.1521 c. 
 478: 37 41 41 37 43 37 42 39 39 42 37 43  SP      S SD: 0.4680 c. M: 0.9690 c. 
 509: 40 43 43 40 46 39 45 41 42 45 39 46  SP        SD: 0.4864 c. M: 1.3302 c. 
 521: 41 44 44 41 47 40 46 43 42 46 40 47  SP        SD: 0.4133 c. M:-1.0997 c. 
 525: 41 45 44 41 48 40 46 43 43 46 41 47  SP        SD: 0.5989 c. M: 0.8993 c. 
 528: 41 45 45 41 48 40 47 43 43 47 40 48  SP      S SD: 0.5519 c. M: 1.0224 c. 
 529: 41 45 45 42 47 41 47 43 43 47 40 48  SP        SD: 0.6148 c. M: 0.8503 c. 
 533: 42 45 45 42 48 41 47 43 44 47 41 48  SP        SD: 0.4194 c. M: 1.0825 c. 
 540: 42 46 46 42 49 41 48 44 44 48 41 49  SP      S SD: 0.4282 c. M: 0.8203 c. 
 552: 43 47 47 43 50 42 49 45 45 49 42 50  SP      S SD: 0.3125 c. M: 0.6271 c. 
 564: 44 48 48 44 51 43 50 46 46 50 43 51  SP      S SD: 0.2079 c. M: 0.4421 c. 
 576: 45 49 49 45 52 44 51 47 47 51 44 52  SP      S SD: 0.1286 c. M: 0.2648 c. 
 588: 46 50 50 46 53 45 52 48 48 52 45 53  SP      S SD: 0.1196 c. M:-0.2436 c. 
 1164: 91 99 99 91 105 89 103 95 95 103 89 105  SP      S SD: 0.1120 c. M:-0.2436 c. 
 1752: 137 149 149 137 158 134 155 143 143 155 134 158  SP      S SD: 0.1119 c. M:-0.2436 c. 
 1778: 139 151 151 139 161 136 157 145 145 157 137 160  SP        SD: 0.1503 c. M:-0.2430 c. 
 1790: 140 152 152 140 162 137 158 146 146 158 138 161  SP        SD: 0.1411 c. M:-0.2457 c. 
 1802: 141 153 153 141 163 138 159 147 147 159 139 162  SP        SD: 0.1402 c. M:-0.2985 c. 
 1814: 142 154 154 142 164 139 160 148 148 160 139 164  SP      S SD: 0.1400 c. M: 0.3109 c. 
 1817: 142 155 154 142 164 139 161 148 148 161 139 164  SP        SD: 0.1390 c. M:-0.3035 c. 
 1826: 143 155 155 143 165 140 161 149 149 161 140 165  SP      S SD: 0.1346 c. M: 0.2551 c. 
 1829: 143 155 156 143 165 140 162 149 149 162 140 165  SP        SD: 0.1305 c. M: 0.3273 c. 
 1838: 144 156 156 144 166 141 162 150 150 162 141 166  SP      S SD: 0.1377 c. M:-0.2393 c. 
 1841: 144 156 157 144 166 141 163 150 150 163 141 166  SP        SD: 0.1191 c. M: 0.2981 c. 
 1853: 145 157 158 145 167 142 164 151 151 164 142 167  SP        SD: 0.1170 c. M: 0.2692 c. 
 1877: 147 159 160 147 169 144 166 153 153 166 144 169  SP        SD: 0.1389 c. M:-0.2131 c. 
 1894: 148 161 161 148 171 145 168 154 155 167 145 171  SP        SD: 0.1383 c. M:-0.2789 c. 
 1906: 149 162 162 149 172 146 169 155 156 168 146 172  SP        SD: 0.1308 c. M:-0.2902 c. 
 1930: 151 164 164 151 174 148 170 158 157 171 148 174  SP        SD: 0.1188 c. M: 0.3093 c. 
 1942: 152 165 165 152 175 149 171 159 158 172 149 175  SP        SD: 0.1143 c. M: 0.2946 c. 
 1971: 154 168 167 154 178 151 174 161 161 174 151 178  SP        SD: 0.1342 c. M: 0.2125 c. 
 1983: 155 169 168 155 179 152 175 162 162 175 152 179  SP        SD: 0.1167 c. M:-0.2226 c. 
 1995: 156 170 169 156 180 153 176 163 163 176 153 180  SP        SD: 0.1061 c. M:-0.2463 c. 
 2007: 157 171 170 157 181 154 177 164 164 177 154 181  SP        SD: 0.1043 c. M:-0.2696 c. 
 2060: 161 175 175 161 186 158 182 168 168 182 158 186  SP      S SD: 0.1233 c. M: 0.2326 c. 
 2072: 162 176 176 162 187 159 183 169 169 183 159 187  SP      S SD: 0.0976 c. M: 0.1831 c. 
 2084: 163 177 177 163 188 160 184 170 170 184 160 188  SP      S SD: 0.0758 c. M: 0.1403 c. 
 2096: 164 178 178 164 189 161 185 171 171 185 161 189  SP      S SD: 0.0618 c. M: 0.1381 c. 
 2108: 165 179 179 165 190 162 186 172 172 186 162 190  SP      S SD: 0.0605 c. M: 0.1359 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: 2.0145 cents
 3 x x x x 4 x x x 5 x x 6  S SD: 3.1833 cents
 4 x x x 5 x x 6 x x 7 x 8  S SD: 7.9129 cents
 5 x x 6 x x 7 x 8 x 9 x 10  S SD: 6.4637 cents
 6 x x 7 x 8 x 9 x 10 x 11:12  S SD: 8.9228 cents
 7 x 8 x 9 x 10 x 11:12 x 13:14  S SD: 10.9909 cents
 8 x 9 x 10 x 11:12:13 x 14:15:16  S SD: 8.5941 cents
 9 x 10 x 11:12:13 x 14:15:16:17:18  S SD: 8.0765 cents
 10 x 11:12 x 13:14:15:16:17:18:19:20  S SD: 7.1360 cents
 11 x 12:13:14:15 x 16:17:18:20:21:22  S SD: 10.9829 cents
 12:13 x 14:15:16:17:18:19:20:21:23:24    SD: 6.6565 cents
 13:14 x 15:16:17:18:19:21:22:23:24:26    SD: 9.5435 cents
 14:15:16:17:18:19:20:21:22:23:25:26:28    SD: 7.6966 cents
 15:16:17:18:19:20:21:22:24:25:27:28:30    SD: 4.9589 cents
 20:21:22:24:25:27:28:30:32:34:36:38:40    SD: 4.9386 cents
 22:23:25:26:28:29:31:33:35:37:39:41:44    SD: 4.1968 cents
 24:25:27:29:30:32:34:36:38:40:43:45:48    SD: 3.5941 cents
 27:29:30:32:34:36:38:40:43:45:48:51:54    SD: 3.4681 cents
 31:33:35:37:39:41:44:46:49:52:55:58:62    SD: 3.0118 cents
 32:34:36:38:40:43:45:48:51:54:57:60:64    SD: 2.1323 cents
 36:38:40:43:45:48:51:54:57:60:64:68:72    SD: 2.0991 cents
 42:44:47:50:53:56:59:63:67:70:75:79:84    SD: 2.0719 cents
 48:51:54:57:60:64:68:72:76:80:86:90:96    SD: 1.9650 cents
 50:53:56:59:63:67:70:75:79:84:89:94:100    SD: 1.7409 cents
 51:54:57:61:64:68:72:76:81:85:91:96:102    SD: 1.6690 cents
 58:61:65:69:73:77:82:87:92:97:103:109:116    SD: 1.4581 cents
 59:62:66:70:74:79:83:88:93:99:105:111:118    SD: 1.2174 cents
 68:72:76:81:85:91:96:102:108:114:121:128:136    SD: 1.1636 cents
 74:78:83:88:93:99:104:111:117:124:132:139:148    SD: 0.7830 cents
 101:107:113:120:127:135:142:151:160:169:180:190:202    SD: 0.7821 cents
 107:113:120:127:134:143:151:160:169:179:191:201:214    SD: 0.7459 cents
 108:114:121:128:135:144:152:162:171:181:192:203:216    SD: 0.7308 cents
 111:117:124:132:139:148:156:166:176:186:198:209:222    SD: 0.6956 cents
 123:130:138:146:154:164:173:184:195:206:219:231:246    SD: 0.4920 cents
 161:170:180:191:202:215:227:241:255:270:287:302:322    SD: 0.4749 cents
 165:174:185:196:207:220:232:247:261:276:294:310:330    SD: 0.4582 cents
 182:192:204:216:228:243:256:272:288:305:324:342:364    SD: 0.3665 cents
 197:208:221:234:247:263:277:295:312:330:351:370:394    SD: 0.3331 cents
 233:246:261:277:292:311:328:349:369:390:415:438:466    SD: 0.2804 cents
 272:287:305:323:341:363:383:407:431:456:485:511:544    SD: 0.2788 cents
 284:300:318:337:356:379:400:425:450:476:506:534:568    SD: 0.2321 cents
 324:342:363:385:406:432:456:485:513:543:577:609:648    SD: 0.2291 cents
 326:344:365:387:409:435:459:488:516:546:581:613:652    SD: 0.2188 cents
 358:378:401:425:449:478:504:536:567:600:638:673:716    SD: 0.1567 cents
 469:495:525:557:588:626:660:702:743:786:836:881:938    SD: 0.1307 cents
 559:590:626:664:701:746:787:837:885:937:996:1050:1118    SD: 0.1176 cents
 576:608:645:684:722:769:811:862:912:965:1026:1082:1152    SD: 0.0936 cents