Scala analysis: sparschuhJSBloops440Hz

Sparschuh's 2007 interpretation of J.S. Bach's WTC loops @ 440 cps

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:       1112/1055           91.096547
  2:        236/211           193.852633
  3:       1251/1055          295.006549
  4:       1319/1055          386.641879
  5:       1407/1055          498.455196
  6:       1483/1055          589.530719
  7:       1582/1055          701.407921
  8:       1668/1055          793.051548
  9:        352/211           885.998916
 10:       3753/2110          996.961550
 11:       1978/1055         1088.159313
 12:          2/1            1200.000000 octave
SHOW/INTERVAL
  0:       1055/989           111.8407 
  1:       1112/1055           91.0965 
  2:        295/278           102.7561 
  3:       1251/1180          101.1539 
  4:       1319/1251           91.6353 
  5:       1407/1319          111.8133 
  6:       1483/1407           91.0755 
  7:       1582/1483          111.8772 
  8:        834/791            91.6436 
  9:        440/417            92.9474 
 10:       3753/3520          110.9626 
 11:       3956/3753           91.1978 
 12:       1055/989           111.8407 
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 1483/1407           91.076 cents   
  1:   1 1112/1055           91.097 cents   
  1:   1 3956/3753           91.198 cents   
  1:   1 1319/1251           91.635 cents   
  1:   1 834/791             91.644 cents   
  1:   1 440/417             92.947 cents   
  1:   1 1251/1180           101.154 cents  
  1:   1 295/278             102.756 cents  
  1:   1 3753/3520           110.963 cents  
  1:   1 1407/1319           111.813 cents  
  1:   1 1055/989            111.841 cents  
  1:   1 1582/1483           111.877 cents  
  2:   1 880/791             184.591 cents  
  2:   1 1319/1180           192.789 cents  
  2:   1 236/211             193.853 cents  
  2:   1 989/880             202.160 cents  
  2:   1 1483/1319           202.889 cents  
  2:   1 1112/989            202.937 cents  
  2:   1 226/201             202.953 cents  
  2:   1 4220/3753           203.038 cents  
  2:   1 469/417             203.449 cents  
  2:   1 1668/1483           203.521 cents  
  2:   2 9/8                 203.910 cents  major whole tone
  3:   1 32/27               294.135 cents  Pythagorean minor third
  3:   1 1483/1251           294.524 cents  
  3:   1 556/469             294.596 cents  
  3:   1 1251/1055           295.007 cents  
  3:   1 989/834             295.108 cents  
  3:   1 1319/1112           295.545 cents  
  3:   1 3753/3164           295.554 cents  
  3:   1 1760/1483           296.468 cents  
  3:   1 1407/1180           304.603 cents  
  3:   1 1180/989            305.693 cents  
  3:   1 211/176             314.001 cents  
  3:   1 1582/1319           314.766 cents  
  4:   1 1319/1055           386.642 cents  
  4:   1 989/791             386.751 cents  
  4:   1 1760/1407           387.544 cents  
  4:   1 1483/1180           395.678 cents  
  4:   1 4720/3753           396.891 cents  
  4:   1 139/110             405.098 cents  
  4:   1 1582/1251           406.401 cents  
  4:   1 1668/1319           406.410 cents  
  4:   1 1251/989            406.847 cents  
  4:   1 1055/834            406.948 cents  
  4:   1 1407/1112           407.359 cents  
  4:   1 3753/2966           407.431 cents  
  5:   3 4/3                 498.045 cents  perfect fourth
  5:   1 1483/1112           498.434 cents  
  5:   1 1407/1055           498.455 cents  
  5:   1 1319/989            498.483 cents  
  5:   1 1251/938            498.506 cents  
  5:   1 1055/791            498.592 cents  
  5:   1 1978/1483           498.629 cents  
  5:   1 1760/1319           499.357 cents  
  5:   1 791/590             507.555 cents  
  5:   1 59/44               507.854 cents  
  6:   1 1483/1055           589.531 cents  
  6:   1 5276/3753           589.680 cents  
  6:   1 1112/791            589.689 cents  
  6:   1 1978/1407           589.704 cents  
  6:   1 1760/1251           590.992 cents  
  6:   1 417/295             599.199 cents  
  6:   1 590/417             600.801 cents  
  6:   1 1251/880            609.008 cents  
  6:   1 1407/989            610.296 cents  
  6:   1 791/556             610.311 cents  
  6:   1 3753/2638           610.320 cents  
  6:   1 2110/1483           610.469 cents  
  7:   1 88/59               692.146 cents  
  7:   1 1180/791            692.445 cents  
  7:   1 1319/880            700.643 cents  
  7:   1 1483/989            701.371 cents  
  7:   1 1582/1055           701.408 cents  
  7:   1 1876/1251           701.494 cents  
  7:   1 1978/1319           701.517 cents  
  7:   1 2110/1407           701.545 cents  
  7:   1 2224/1483           701.566 cents  
  7:   3 3/2                 701.955 cents  perfect fifth
  8:   1 5932/3753           792.569 cents  
  8:   1 2224/1407           792.641 cents  
  8:   1 1668/1055           793.052 cents  
  8:   1 1978/1251           793.153 cents  
  8:   1 1319/834            793.590 cents  
  8:   1 1251/791            793.599 cents  
  8:   1 220/139             794.902 cents  
  8:   1 3753/2360           803.109 cents  
  8:   1 2360/1483           804.322 cents  
  8:   1 1407/880            812.456 cents  
  8:   1 1582/989            813.249 cents  
  8:   1 2110/1319           813.358 cents  
  9:   1 1319/791            885.234 cents  
  9:   1 352/211             885.999 cents  
  9:   1 989/590             894.307 cents  
  9:   1 2360/1407           895.397 cents  
  9:   1 1483/880            903.532 cents  
  9:   1 6328/3753           904.446 cents  
  9:   1 2224/1319           904.455 cents  
  9:   1 1668/989            904.892 cents  
  9:   1 2110/1251           904.993 cents  
  9:   1 469/278             905.404 cents  
  9:   1 2502/1483           905.476 cents  
  9:   1 27/16               905.865 cents  Pythagorean major sixth
 10:   2 16/9                996.090 cents  Pythagorean minor seventh
 10:   1 1483/834            996.479 cents  
 10:   1 834/469             996.551 cents  
 10:   1 3753/2110           996.962 cents  
 10:   1 201/113             997.047 cents  
 10:   1 989/556             997.063 cents  
 10:   1 2638/1483           997.111 cents  
 10:   1 1760/989            997.840 cents  
 10:   1 211/118             1006.147 cents 
 10:   1 2360/1319           1007.211 cents 
 10:   1 791/440             1015.409 cents 
 11:   1 1483/791            1088.123 cents 
 11:   1 1978/1055           1088.159 cents 
 11:   1 2638/1407           1088.187 cents 
 11:   1 7040/3753           1089.037 cents 
 11:   1 556/295             1097.244 cents 
 11:   1 2360/1251           1098.846 cents 
 11:   1 417/220             1107.053 cents 
 11:   1 791/417             1108.356 cents 
 11:   1 2502/1319           1108.365 cents 
 11:   1 3753/1978           1108.802 cents 
 11:   1 1055/556            1108.903 cents 
 11:   1 2814/1483           1108.924 cents 
Highest number of different intervals for one interval class: 12
Average number of different intervals per interval class: 11.45455 = 126/11
SHOW/LINE/CENTS INTERVALS
         1     2     3     4     5     6     7     8     9     10     11     12    
 0.0   : 91.1  193.9 295.0 386.6 498.5 589.5 701.4 793.1 886.0 997.0  1088.2 1200.0
 91.1  : 102.8 203.9 295.5 407.4 498.4 610.3 702.0 794.9 905.9 997.1  1108.9 1200.0
 193.9 : 101.2 192.8 304.6 395.7 507.6 599.2 692.1 803.1 894.3 1006.1 1097.2 1200.0
 295.0 : 91.6  203.4 294.5 406.4 498.0 591.0 702.0 793.2 905.0 996.1  1098.8 1200.0
 386.6 : 111.8 202.9 314.8 406.4 499.4 610.3 701.5 813.4 904.5 1007.2 1108.4 1200.0
 498.5 : 91.1  203.0 294.6 387.5 498.5 589.7 701.5 792.6 895.4 996.6  1088.2 1200.0
 589.5 : 111.9 203.5 296.5 407.4 498.6 610.5 701.6 804.3 905.5 997.1  1108.9 1200.0
 701.4 : 91.6  184.6 295.6 386.8 498.6 589.7 692.4 793.6 885.2 997.0  1088.1 1200.0
 793.1 : 92.9  203.9 295.1 406.9 498.0 600.8 702.0 793.6 905.4 996.5  1108.4 1200.0
 886.0 : 111.0 202.2 314.0 405.1 507.9 609.0 700.6 812.5 903.5 1015.4 1107.1 1200.0
 997.0 : 91.2  203.0 294.1 396.9 498.0 589.7 701.5 792.6 904.4 996.1  1089.0 1200.0
 1088.2: 111.8 202.9 305.7 406.8 498.5 610.3 701.4 813.2 904.9 997.8  1108.8 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  91.0755   .. 111.8772 cents      2225874/2199289, 20.8017 cents     1483/1407, 91.0755 cents
  2:  184.5910  .. 203.9100 cents      7119/7040, 19.3190 cents           652520/625681, 72.7138 cents
  3:  294.1350  .. 314.7660 cents      21357/21104, 20.6310 cents         256/243, 90.2250 cents
  4:  386.6419  .. 407.4308 cents      3959415/3912154, 20.7890 cents     1739761/1669010, 71.8758 cents
  5:  498.0450  .. 507.8537 cents      177/176, 9.8087 cents              11864/11259, 90.6142 cents
  6:  589.5307  .. 610.4693 cents      2226050/2199289, 20.9386 cents     65252/62245, 81.6770 cents
  7:  692.1463  .. 701.9550 cents      177/176, 9.8087 cents              65252/62245, 81.6770 cents
  8:  792.5692  .. 813.3581 cents      3959415/3912154, 20.7890 cents     11864/11259, 90.6142 cents
  9:  885.2340  .. 905.8650 cents      21357/21104, 20.6310 cents         1739761/1669010, 71.8758 cents
 10:  996.0900  .. 1015.4090 cents     7119/7040, 19.3190 cents           256/243, 90.2250 cents
 11:  1088.1228 .. 1108.9245 cents     2225874/2199289, 20.8017 cents     652520/625681, 72.7138 cents
SHOW DATA
Number of notes                     : 12
-- Interval properties --
Smallest interval                   : 1483/1407, 91.0755 cents, class 1
Average step (divided formal octave): 100.0000 cents
Largest one step interval           : 1582/1483, 111.8772 cents
Average / Smallest step             : 1.097990
Largest / Average step              : 1.118772
Largest / Smallest step             : 1.228400
Median interval of one step         : 97.05064 cents, amount: 0
Least squares average step          : 99.24227 cents, oct.:  1190.90724 cents
Scale is strictly proper
Step pattern alph. order: ABCDEFGHIJKL
Step pattern size order : BHGDJALEFICK
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 71.87584 cents
Scale diversity                     : 1.139122
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.830302
Rothenberg efficiency               : 0.173737   redundancy: 0.826263
Efficiency x scale size             : 2.084848
Number of different interval sizes  : 126 = 11.45455 / class
Number of one step interval sizes   : 12
Highest interval variety            : 12
Mean interval variety               : 11.45455 = 126/11
Median interval variety             : 10
Lowest interval variety             : 10
Smallest interval difference        : 1043334/1043329, 0.0083 cents
Most common intervals               : 4/3, 498.0450 cents & inv., amount: 3
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 10 different sizes of fifth
Scale has monotonic third-sizes over circle of fifths
Best fifths form a closed circle
Formal octave complements present   : 1 = 8.3333%
Limited transpositions with margin 20.9386 cents:
 2 5 7
Limited inverse transpositions with margin 20.7890 cents:
 2 4 9 11
-- Rational properties --
Prime limit                         : 1483
Odd number limit                    : 3753 (O: 3753 U: 3753)
Highest odd numerator or denominator: 3753
Harmonicity values                  : limit above prime count
Fundamental                         : 1/2110, -11.0430 octaves, 0.1240 Hz.
Guide tone                          : too high to compute
Sum of Mann's harmonic distance     : 13558.0, average 1129.83333
Mersenne's string divisions         : too high to compute
Sum of van Prooijen's expressibility: 32.85289, average 2.73774
Sum of Tenney's harmonic distance   : 66.25440, average 5.52120
Vogel's harmonic complexity         : 330.08333
Wille's k value                     : 1876
Lattice compactness                 : 197.28365, average 2.52928
Lattice compactness (without 2's)   : 117.98832, average 1.51267
Number of different primes          : 14
Prime exponents' range, average, count, tones@limit:
  2:  -1 .. 5         1.16667   16    1
  3:   0 .. 3         0.58333   7
  5:  -1 .. 0        -0.75000   9
  7:   0 .. 1         0.16667   2
 11:   0 .. 1         0.08333   1
 23:   0 .. 1         0.08333   1
 43:   0 .. 1         0.08333   1
 59:   0 .. 1         0.08333   1
 67:   0 .. 1         0.08333   1
 113:  0 .. 1         0.08333   1
 139:  0 .. 1         0.33333   4
 211: -1 .. 0        -0.91667   11    9
 1319:  0 .. 1        0.08333   1     1
 1483:  0 .. 1        0.08333   1     1
Average exponent except 2's         : 1 / 12 = 0.08333
Average absolute exponent except 2's: 41 / 12 = 3.41667
FIT/MODE
 12:  1 1 1 1 1 1 1 1 1 1 1 1  SP B ME I SD: 8.3074 c. M:-14.0011 c.  Twelve-tone Chromatic (1/11-comma)
 39:  3 3 4 3 3 3 4 3 3 3 3 4  SP   D3   SD: 8.6331 c. M:-13.3581 c. 
 41:  3 4 3 3 4 3 4 3 3 4 3 4  SP M ME   SD: 4.9726 c. M:-11.0254 c.  Schismic-12
 49:  4 4 4 4 4 4 5 3 4 5 3 5  SP   D3   SD: 6.4896 c. M: 10.6083 c. 
 50:  4 4 4 4 5 4 4 4 4 5 3 5  SP   D3   SD: 6.1011 c. M:-11.0385 c. 
 52:  4 4 5 4 5 4 4 4 4 5 4 5  SP   D3 S SD: 7.1258 c. M:-10.4693 c. 
 53:  4 5 4 4 5 4 5 4 4 5 4 5  SP M ME   SD: 3.0941 c. M:-9.9210 c.  Schismic-12
 61:  5 5 5 5 5 5 6 4 5 6 4 6  SP   D3   SD: 5.1221 c. M:-7.2641 c. 
 62:  5 5 5 5 6 4 6 5 5 6 4 6  SP   D3 S SD: 5.0419 c. M:-9.4901 c. 
 65:  5 6 5 5 6 5 6 5 5 6 5 6  SP M ME   SD: 2.7562 c. M:-9.2243 c. 
 75:  6 6 6 6 7 6 7 6 5 7 6 7  SP   D3   SD: 4.1962 c. M: 7.0065 c. 
 77:  6 6 7 6 7 6 7 6 6 7 6 7  SP M ME   SD: 2.6774 c. M: 6.8396 c. 
 85:  6 8 7 6 8 7 8 6 7 8 6 8  SP        SD: 3.9340 c. M: 6.3907 c. 
 87:  7 7 7 7 8 7 8 6 7 8 7 8  SP   D3   SD: 3.5843 c. M: 6.8447 c. 
 88:  7 7 8 6 9 6 8 7 7 8 7 8  SP        SD: 3.7967 c. M:-6.0903 c. 
 89:  7 7 8 7 8 7 8 7 7 8 7 8  SP M ME   SD: 3.0296 c. M: 5.0886 c. 
 94:  7 8 8 7 9 7 9 7 7 9 7 9  SP   D3 S SD: 2.4121 c. M: 5.1479 c. 
 103: 8 9 8 8 10 8 9 8 8 10 7 10  SP        SD: 3.1883 c. M:-4.9802 c. 
 106: 8 9 9 8 10 8 10 8 8 10 8 10  SP   D3 S SD: 1.2389 c. M: 2.9800 c. 
 118: 9 10 10 9 11 9 11 9 9 11 9 11  SP   D3 S SD: 0.4610 c. M: 1.2532 c. 
 130: 10 11 11 10 12 10 12 10 10 12 10 12  SP   D3 S SD: 0.7112 c. M:-1.2385 c. 
 248: 19 21 21 19 23 19 23 19 19 23 19 23  SP   D3 S SD: 0.4611 c. M:-0.8389 c. 
 366: 28 31 31 28 34 28 34 28 28 34 28 34  SP   D3 S SD: 0.4190 c. M: 0.7530 c. 
 484: 37 41 41 37 45 37 45 37 37 45 37 45  SP   D3 S SD: 0.4126 c. M: 0.8749 c. 
 501: 38 43 42 38 47 38 47 38 39 46 38 47  SP        SD: 0.4545 c. M: 1.0131 c. 
 513: 39 44 43 39 48 39 48 39 40 47 39 48  SP        SD: 0.3569 c. M: 0.6770 c. 
 525: 40 45 44 40 49 40 49 40 41 48 40 49  SP        SD: 0.3566 c. M:-0.8582 c. 
 619: 47 53 52 47 58 47 58 47 48 57 47 58  SP        SD: 0.3799 c. M: 0.8584 c. 
 631: 48 54 53 48 59 48 59 48 49 58 48 59  SP        SD: 0.2861 c. M: 0.5880 c. 
 643: 49 55 54 49 60 49 60 49 50 59 49 60  SP        SD: 0.2684 c. M:-0.4708 c. 
 749: 57 64 63 57 70 57 70 57 58 69 57 70  SP        SD: 0.2589 c. M: 0.5271 c. 
 761: 58 65 64 58 71 58 71 58 59 70 58 71  SP        SD: 0.2292 c. M: 0.3781 c. 
 879: 67 75 74 67 82 67 82 67 68 81 67 82  SP        SD: 0.2188 c. M: 0.3745 c. 
 922: 70 79 78 70 86 70 86 70 72 85 70 86  SP        SD: 0.2091 c. M:-0.4381 c. 
 1028: 78 88 87 78 96 78 96 78 80 95 78 96  SP        SD: 0.1952 c. M: 0.4445 c. 
 1040: 79 89 88 79 97 79 97 79 81 96 79 97  SP        SD: 0.1689 c. M:-0.3781 c. 
 1071: 81 92 90 82 100 81 100 82 83 99 81 100  SP        SD: 0.2058 c. M: 0.3402 c. 
 1146: 87 98 97 87 107 87 107 87 89 106 87 107  SP        SD: 0.1835 c. M: 0.3814 c. 
 1158: 88 99 98 88 108 88 108 88 90 107 88 108  SP        SD: 0.1508 c. M:-0.3302 c. 
 1170: 89 100 99 89 109 89 109 89 91 108 89 109  SP        SD: 0.1636 c. M:-0.3781 c. 
 1189: 90 102 100 91 111 90 111 91 92 110 90 111  SP        SD: 0.1680 c. M: 0.3051 c. 
 1201: 91 103 101 92 112 91 112 92 93 111 91 112  SP        SD: 0.1610 c. M:-0.2873 c. 
 1276: 97 109 108 97 119 97 119 97 99 118 97 119  SP        SD: 0.1488 c. M:-0.2913 c. 
 1288: 98 110 109 98 120 98 120 98 100 119 98 120  SP        SD: 0.1511 c. M:-0.3351 c. 
 1307: 99 112 110 100 122 99 122 100 101 121 99 122  SP        SD: 0.1476 c. M: 0.2858 c. 
 1319: 100 113 111 101 123 100 123 101 102 122 100 123  SP        SD: 0.1320 c. M:-0.2767 c. 
 1394: 106 119 118 106 130 106 130 106 108 129 106 130  SP        SD: 0.1564 c. M:-0.2589 c. 
 1406: 107 120 119 107 131 107 131 107 109 130 107 131  SP        SD: 0.1509 c. M:-0.2993 c. 
 1425: 108 122 120 109 133 108 133 109 110 132 108 133  SP        SD: 0.1410 c. M: 0.2697 c. 
 1437: 109 123 121 110 134 109 134 110 111 133 109 134  SP        SD: 0.1188 c. M:-0.2679 c. 
 1490: 113 128 125 114 139 113 139 114 115 138 113 139  SP        SD: 0.1358 c. M: 0.2414 c. 
 1555: 118 133 131 119 145 118 145 119 120 144 118 145  SP        SD: 0.1184 c. M:-0.2603 c. 
 1567: 119 134 132 120 146 119 146 120 121 145 119 146  SP        SD: 0.1247 c. M:-0.3116 c. 
 1608: 122 138 135 123 150 122 150 123 124 149 122 150  SP        SD: 0.1296 c. M:-0.2320 c. 
 1620: 123 139 136 124 151 123 151 124 125 150 123 151  SP        SD: 0.1279 c. M:-0.2818 c. 
 1673: 127 143 141 128 156 127 156 128 129 155 127 156  SP        SD: 0.1262 c. M:-0.2539 c. 
 1685: 128 144 142 129 157 128 157 129 130 156 128 157  SP        SD: 0.1252 c. M:-0.3016 c. 
 1716: 130 147 145 131 160 130 160 131 133 159 130 160  SP        SD: 0.1140 c. M:-0.2412 c. 
 1728: 131 148 146 132 161 131 161 132 134 160 131 161  SP        SD: 0.1223 c. M:-0.2607 c. 
 1769: 134 152 149 135 165 134 165 135 137 164 134 165  SP        SD: 0.1119 c. M:-0.2120 c. 
 1781: 135 153 150 136 166 135 166 136 138 165 135 166  SP        SD: 0.1136 c. M:-0.2310 c. 
 1801: 137 154 152 137 168 137 168 137 140 166 137 168  SP        SD: 0.1479 c. M:-0.2023 c. 
 1803: 137 154 152 138 168 137 168 138 139 167 137 168  SP        SD: 0.1321 c. M:-0.2929 c. 
 1822: 138 156 154 139 170 138 170 139 141 169 138 170  SP        SD: 0.1274 c. M: 0.2193 c. 
 1834: 139 157 155 140 171 139 171 140 142 170 139 171  SP        SD: 0.1036 c. M:-0.2031 c. 
 1846: 140 158 156 141 172 140 172 141 143 171 140 172  SP        SD: 0.1058 c. M:-0.2215 c. 
 1887: 143 162 159 144 176 143 176 144 146 175 143 176  SP        SD: 0.0988 c. M:-0.1768 c. 
 1899: 144 163 160 145 177 144 177 145 147 176 144 177  SP        SD: 0.0943 c. M:-0.1948 c. 
 2017: 153 173 170 154 188 153 188 154 156 187 153 188  SP        SD: 0.0846 c. M:-0.1629 c. 
 2029: 154 174 171 155 189 154 189 155 157 188 154 189  SP        SD: 0.1010 c. M:-0.1799 c. 
 2082: 158 178 176 159 194 158 194 159 161 193 158 194  SP        SD: 0.0994 c. M: 0.1927 c. 
 2123: 161 182 179 162 198 161 198 162 164 197 161 198  SP        SD: 0.0982 c. M: 0.2712 c. 
 2135: 162 183 180 163 199 162 199 163 165 198 162 199  SP        SD: 0.0840 c. M: 0.1910 c. 
 2147: 163 184 181 164 200 163 200 164 166 199 163 200  SP        SD: 0.0939 c. M:-0.1507 c. 
 2229: 169 191 188 170 208 169 208 170 173 206 169 208  SP        SD: 0.0827 c. M:-0.1384 c. 
 2241: 170 192 189 171 209 170 209 171 174 207 170 209  SP        SD: 0.0799 c. M:-0.2126 c. 
 2347: 178 201 198 179 219 178 219 179 182 217 178 219  SP        SD: 0.0713 c. M: 0.1320 c. 
 2359: 179 202 199 180 220 179 220 180 183 218 179 220  SP        SD: 0.0623 c. M:-0.1393 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: 0.2735 cents
 3 x x x x 4 x x x 5 x x 6  S SD: 0.5636 cents
 4 x x x 5 x x 6 x x 7 x 8  S SD: 7.0357 cents
 5 x x 6 x x 7 x 8 x 9 x 10  S SD: 7.2846 cents
 6 x x 7 x 8 x 9 x 10 x 11:12  S SD: 7.9929 cents
 7 x 8 x 9 x 10 x 11:12 x 13:14  S SD: 12.0583 cents
 8 x 9 x 10 x 11:12 x 13:14:15:16  S SD: 8.3114 cents
 9 x 10 x 11:12:13 x 14:15:16:17:18  S SD: 7.7371 cents
 10 x 11:12 x 13:14:15:16:17:18:19:20  S SD: 7.5583 cents
 11 x 12:13:14:15 x x 17:18:20:21:22    SD: 10.7908 cents
 12:13 x 14:15:16:17:18:19:20:21:23:24    SD: 6.7324 cents
 13:14 x 15:16:17:18:20:21:22:23:24:26  S SD: 9.5196 cents
 14:15:16:17:18:19:20:21:22:23:25:26:28    SD: 7.9338 cents
 15:16:17:18:19:20:21:22:24:25:27:28:30    SD: 5.4752 cents
 16:17:18:19:20:21:22:24:25:27:28:30:32    SD: 5.3550 cents
 17:18:19:20:21:23:24:25:27:28:30:32:34    SD: 4.7728 cents
 22:23:25:26:28:29:31:33:35:37:39:41:44    SD: 4.4258 cents
 24:25:27:28:30:32:34:36:38:40:43:45:48    SD: 3.3949 cents
 32:34:36:38:40:43:45:48:51:53:57:60:64    SD: 2.3943 cents
 36:38:40:43:45:48:51:54:57:60:64:67:72    SD: 2.1258 cents
 42:44:47:50:53:56:59:63:66:70:75:79:84    SD: 2.0611 cents
 48:51:54:57:60:64:67:72:76:80:85:90:96    SD: 1.8927 cents
 52:55:58:62:65:69:73:78:82:87:92:97:104    SD: 1.7466 cents
 54:57:60:64:68:72:76:81:85:90:96:101:108    SD: 1.6188 cents
 57:60:64:68:71:76:80:85:90:95:101:107:114    SD: 1.5730 cents
 59:62:66:70:74:79:83:88:93:98:105:111:118    SD: 1.4784 cents
 60:63:67:71:75:80:84:90:95:100:107:112:120    SD: 1.1838 cents
 72:76:81:85:90:96:101:108:114:120:128:135:144    SD: 1.1460 cents
 76:80:85:90:95:101:107:114:120:127:135:142:152    SD: 0.8758 cents
 96:101:107:114:120:128:135:144:152:160:171:180:192    SD: 0.6942 cents
 108:114:121:128:135:144:152:162:171:180:192:202:216    SD: 0.5758 cents
 136:143:152:161:170:181:191:204:215:227:242:255:272    SD: 0.5574 cents
 144:152:161:171:180:192:202:216:228:240:256:270:288    SD: 0.5013 cents
 167:176:187:198:209:223:235:250:264:279:297:313:334    SD: 0.4593 cents
 168:177:188:199:210:224:236:252:266:280:299:315:336    SD: 0.3404 cents
 220:232:246:261:275:293:309:330:348:367:391:412:440    SD: 0.3359 cents
 236:249:264:280:295:315:332:354:373:394:420:442:472    SD: 0.3182 cents
 263:277:294:312:329:351:370:394:416:439:468:493:526    SD: 0.2975 cents
 279:294:312:331:349:372:392:418:441:465:496:523:558    SD: 0.2469 cents
 296:312:331:351:370:395:416:444:468:494:526:555:592    SD: 0.1834 cents
 372:392:416:441:465:496:523:558:588:621:662:697:744    SD: 0.1804 cents
 404:426:452:479:505:539:568:606:639:674:719:757:808    SD: 0.1728 cents
 446:470:499:529:558:595:627:669:705:744:793:836:892    SD: 0.1553 cents
 447:471:500:530:559:596:628:670:707:746:795:838:894    SD: 0.1471 cents
 464:489:519:550:580:619:652:696:734:774:825:870:928    SD: 0.1412 cents
 480:506:537:569:600:640:675:720:759:801:854:900:960    SD: 0.1216 cents
 575:606:643:682:719:767:808:862:909:959:1023:1078:1150    SD: 0.1028 cents