Scala analysis: 11lwt

11-limit Rational Well-temperament

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:       1323/1250           98.261960
  2:         55/49            199.979843 quasi-equal major second
  3:        297/250           298.241803
  4:         63/50            400.108480 quasi-equal major third
  5:          4/3             498.044999 perfect fourth
  6:         99/70            600.088324 2nd quasi-equal tritone
  7:        220/147           698.024842
  8:        100/63            799.891520 quasi-equal minor sixth
  9:         42/25            898.153480 quasi-equal major sixth
 10:       5500/3087          999.871363
 11:         66/35           1098.133323
 12:          2/1            1200.000000 octave
SHOW/INTERVAL
  0:         35/33            101.8667 
  1:       1323/1250           98.2620 
  2:      68750/64827         101.7179 
  3:       1323/1250           98.2620 
  4:         35/33            101.8667 
  5:        200/189            97.9365 
  6:        297/280           102.0433 
  7:        200/189            97.9365 
  8:         35/33            101.8667 
  9:       1323/1250           98.2620 
 10:      68750/64827         101.7179 
 11:       1323/1250           98.2620 
 12:         35/33            101.8667 
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   2 200/189             97.937 cents   
  1:   4 1323/1250           98.262 cents   
  1:   2 68750/64827         101.718 cents  
  1:   3 35/33               101.867 cents  
  1:   1 297/280             102.043 cents  
  2:   2 1000/891            199.803 cents  
  2:   6 55/49               199.980 cents  quasi-equal major second
  2:   4 3087/2750           200.129 cents  
  3:   1 11000/9261          297.916 cents  
  3:   2 196/165             298.065 cents  
  3:   2 297/250             298.242 cents  
  3:   1 4084101/3437500     298.391 cents  
  3:   6 25/21               301.847 cents  BP second, quasi-equal minor third
  4:   4 5000/3969           399.783 cents  
  4:   8 63/50               400.108 cents  quasi-equal major third
  5:   4 4/3                 498.045 cents  perfect fourth
  5:   2 83349/62500         498.370 cents  
  5:   1 25000/18711         501.650 cents  
  5:   3 1375/1029           501.826 cents  
  5:   2 147/110             501.975 cents  
  6:   2 275000/194481       599.763 cents  
  6:   4 140/99              599.912 cents  quasi-equal tritone
  6:   4 99/70               600.088 cents  2nd quasi-equal tritone
  6:   2 194481/137500       600.237 cents  
  7:   2 220/147             698.025 cents  
  7:   3 2058/1375           698.174 cents  
  7:   1 18711/12500         698.350 cents  
  7:   2 125000/83349        701.630 cents  
  7:   4 3/2                 701.955 cents  perfect fifth
  8:   8 100/63              799.892 cents  quasi-equal minor sixth
  8:   4 3969/2500           800.217 cents  two (quasi-equal major third)
  9:   6 42/25               898.153 cents  quasi-equal major sixth
  9:   1 6875000/4084101     901.609 cents  
  9:   2 500/297             901.758 cents  
  9:   2 165/98              901.935 cents  
  9:   1 9261/5500           902.084 cents  
 10:   4 5500/3087           999.871 cents  
 10:   6 98/55               1000.020 cents quasi-equal minor seventh
 10:   2 891/500             1000.197 cents 
 11:   1 560/297             1097.957 cents 
 11:   3 66/35               1098.133 cents 
 11:   2 64827/34375         1098.282 cents 
 11:   4 2500/1323           1101.738 cents 
 11:   2 189/100             1102.063 cents 
Highest number of different intervals for one interval class: 5
Average number of different intervals per interval class: 4.00000 = 4
SHOW/LINE/CENTS INTERVALS
         1     2     3     4     5     6     7     8     9     10     11     12    
 0.0   : 98.3  200.0 298.2 400.1 498.0 600.1 698.0 799.9 898.2 999.9  1098.1 1200.0
 98.3  : 101.7 200.0 301.8 399.8 501.8 599.8 701.6 799.9 901.6 999.9  1101.7 1200.0
 200.0 : 98.3  200.1 298.1 400.1 498.0 599.9 698.2 799.9 898.2 1000.0 1098.3 1200.0
 298.2 : 101.9 199.8 301.8 399.8 501.6 599.9 701.6 799.9 901.8 1000.0 1101.7 1200.0
 400.1 : 97.9  200.0 297.9 399.8 498.0 599.8 698.0 799.9 898.2 999.9  1098.1 1200.0
 498.0 : 102.0 200.0 301.8 400.1 501.8 600.1 702.0 800.2 901.9 1000.2 1102.1 1200.0
 600.1 : 97.9  199.8 298.1 399.8 498.0 599.9 698.2 799.9 898.2 1000.0 1098.0 1200.0
 698.0 : 101.9 200.1 301.8 400.1 502.0 600.2 702.0 800.2 902.1 1000.0 1102.1 1200.0
 799.9 : 98.3  200.0 298.2 400.1 498.4 600.1 698.4 800.2 898.2 1000.2 1098.1 1200.0
 898.2 : 101.7 200.0 301.8 400.1 501.8 600.1 702.0 799.9 901.9 999.9  1101.7 1200.0
 999.9 : 98.3  200.1 298.4 400.1 498.4 600.2 698.2 800.2 898.2 1000.0 1098.3 1200.0
 1098.1: 101.9 200.1 301.8 400.1 502.0 599.9 702.0 799.9 901.8 1000.0 1101.7 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  97.9365   .. 102.0433 cents      8019/8000, 4.1068 cents            200/189, 97.9365 cents
  2:  199.8032  .. 200.1286 cents      250047/250000, 0.3254 cents        280000/264627, 97.7599 cents
  3:  297.9164  .. 301.8465 cents      441/440, 3.9302 cents              30250000/28588707, 97.7877 cents
  4:  399.7830  .. 400.1085 cents      250047/250000, 0.3254 cents        200/189, 97.9365 cents
  5:  498.0450  .. 501.9752 cents      441/440, 3.9302 cents              200/189, 97.9365 cents
  6:  599.7629  .. 600.2371 cents      0.47424 cents                      30250000/28588707, 97.7877 cents
  7:  698.0248  .. 701.9550 cents      441/440, 3.9302 cents              30250000/28588707, 97.7877 cents
  8:  799.8915  .. 800.2170 cents      250047/250000, 0.3254 cents        200/189, 97.9365 cents
  9:  898.1535  .. 902.0836 cents      441/440, 3.9302 cents              200/189, 97.9365 cents
 10:  999.8714  .. 1000.1968 cents     250047/250000, 0.3254 cents        30250000/28588707, 97.7877 cents
 11:  1097.9567 .. 1102.0635 cents     8019/8000, 4.1068 cents            280000/264627, 97.7599 cents
SHOW DATA
Number of notes                     : 12
-- Interval properties --
Smallest interval                   : 200/189, 97.9365 cents, class 1
Average step (divided formal octave): 100.0000 cents
Largest one step interval           : 297/280, 102.0433 cents
Average / Smallest step             : 1.021070
Largest / Average step              : 1.020433
Largest / Smallest step             : 1.041933
Median interval of one step         : 99.98992 cents, amount: 0
Most common interval of one step    : 1323/1250, 98.2620 cents, amount: 4
Least squares average step          : 99.89385 cents, oct.:  1198.72622 cents
Scale is strictly proper
Step pattern alph. order: ABACDEDCABAC
Step pattern size order : BCBDAEADBCBD
Scale is a Constant Structure, by a margin of 97.75987 cents
Scale diversity                     : 1.017185
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.978575
Rothenberg efficiency               : 0.356421   redundancy: 0.643579
Efficiency x scale size             : 4.277056
Number of different interval sizes  : 44 = 4.00000 / class
Number of one step interval sizes   : 5
Highest interval variety            : 5
Mean interval variety               : 4.00000 = 4
Median interval variety             : 2
Lowest interval variety             : 2
Smallest interval difference        : 151263/151250, 0.1488 cents
Most common intervals               : 63/50, 400.1085 cents & inv., amount: 8
Most common triad is 0.0 400.108 799.892 cents, amount: 4
Number of recognisable fifths       : 12, average 700.0000 cents
Scale is a well-temperament. It has 5 different sizes of fifth
Best fifths form a closed circle
Scale contains a complete diamond   : 25 63
Formal octave complements present   : 3 = 25.0000%
Limited transpositions              :
 2
Limited inverse transpositions      :
 9 11
Inversional symmetry on intervals   :
 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12
-- Rational properties --
Prime limit                         : 11
Odd number limit                    : 4084101 (O: 4084101 U: 4084101)
Highest odd numerator or denominator: 3087
Scale harmonicity                   : 0.007649
Average absolute harmonicity        : 0.121990
Specific harmonicity                : 0.044949
Fundamental                         : 1/3858750, -21.8797 octaves, 0.0001 Hz.
Guide tone                          : 7276500,  22.7948 octaves, 1903718425.913 Hz.
Exponens Consonantiae               : 2.807819E+13, 44.67452 octaves
Euler's gradus suavitatis           : 82
Sum of Mann's harmonic distance     : 6400.5, average 533.37500
Mersenne's string divisions         : too high to compute
Sum of van Prooijen's expressibility: 22.00498, average 1.83375
Sum of Tenney's harmonic distance   : 45.16276, average 3.76356
Vogel's harmonic complexity         : 49.58333
Wille's k value                     : 2728687
Wilson's harmonic complexity        : 96
Rectangular lattice diameter        : 18
Triangular lattice diameter         : 10
Lattice compactness                 : 325.76849, average 4.17652
Lattice compactness (without 2's)   : 295.04412, average 3.78262
Number of different primes          : 5
Prime exponents' range, average, count, tones@limit:
  2:  -1 .. 2         0.58333   15    1
  3:  -2 .. 3         0.50000   18    1
  5:  -4 .. 3        -0.50000   20
  7:  -3 .. 2        -0.50000   14    4
 11:   0 .. 1         0.50000   6     6
Average exponent except 2's         : 0 / 12 = 0.00000
Average absolute exponent except 2's: 58 / 12 = 4.83333
Scale is weakly epimorphic with val: <12 17 25 32 41|
Scale is weakly epimorphic with val: <12 17 25 32 45|
Scale is weakly epimorphic with val: <12 17 25 36 41|
Scale is weakly epimorphic with val: <12 17 25 36 45|
Scale is weakly epimorphic with val: <12 17 26 32 44|
Scale is weakly epimorphic with val: <12 17 26 34 40|
Scale is weakly epimorphic with val: <12 17 26 34 44|
Scale is weakly epimorphic with val: <12 17 27 31 44|
Scale is weakly epimorphic with val: <12 17 27 36 39|
Scale is weakly epimorphic with val: <12 17 27 36 43|
Scale is weakly epimorphic with val: <12 17 28 32 42|
Scale is weakly epimorphic with val: <12 17 28 33 41|
Scale is weakly epimorphic with val: <12 17 29 32 41|
Scale is weakly epimorphic with val: <12 17 29 32 45|
Scale is weakly epimorphic with val: <12 17 29 34 45|
Scale is weakly epimorphic with val: <12 17 29 35 44|
Scale is weakly epimorphic with val: <12 17 30 34 40|
Scale is weakly epimorphic with val: <12 17 30 34 44|
Scale is weakly epimorphic with val: <12 17 30 37 41|
Scale is weakly epimorphic with val: <12 17 31 32 39|
Scale is weakly epimorphic with val: <12 17 31 32 43|
Scale is weakly epimorphic with val: <12 17 31 36 39|
Scale is weakly epimorphic with val: <12 17 31 36 43|
Scale is weakly epimorphic with val: <12 18 25 34 40|
Scale is weakly epimorphic with val: <12 18 25 34 42|
Scale is weakly epimorphic with val: <12 18 25 34 44|
Scale is weakly epimorphic with val: <12 18 26 32 39|
Scale is weakly epimorphic with val: <12 18 26 32 41|
Scale is weakly epimorphic with val: <12 18 26 32 43|
Scale is weakly epimorphic with val: <12 18 26 32 45|
Scale is weakly epimorphic with val: <12 18 26 36 39|
Scale is weakly epimorphic with val: <12 18 26 36 41|
Scale is weakly epimorphic with val: <12 18 26 36 43|
Scale is weakly epimorphic with val: <12 18 26 36 45|
Scale is weakly epimorphic with val: <12 18 27 34 40|
Scale is weakly epimorphic with val: <12 18 27 34 42|
Scale is weakly epimorphic with val: <12 18 27 34 44|
Scale is weakly epimorphic with val: <12 18 28 36 39|
Scale is weakly epimorphic with val: <12 18 28 36 41|
Scale is weakly epimorphic with val: <12 18 28 36 43|
Scale is weakly epimorphic with val: <12 18 28 36 45|
Scale is weakly epimorphic with val: <12 18 30 32 39|
Scale is weakly epimorphic with val: <12 18 30 32 41|
Scale is weakly epimorphic with val: <12 18 30 32 43|
Scale is weakly epimorphic with val: <12 18 30 32 45|
Scale is weakly epimorphic with val: <12 18 31 34 40|
Scale is weakly epimorphic with val: <12 18 31 34 42|
Scale is weakly epimorphic with val: <12 18 31 34 44|
Scale is weakly epimorphic with val: <12 19 25 32 41|
Scale is weakly epimorphic with val: <12 19 25 32 45|
Scale is weakly epimorphic with val: <12 19 25 37 40|
Scale is weakly epimorphic with val: <12 19 26 34 40|
Scale is weakly epimorphic with val: <12 19 26 34 44|
Scale is weakly epimorphic with val: <12 19 26 36 40|
Scale is JI-epimorphic with val: <12 19 27 32 39|
Scale is weakly epimorphic with val: <12 19 27 32 43|
Scale is weakly epimorphic with val: <12 19 27 36 39|
Scale is weakly epimorphic with val: <12 19 27 36 43|
Scale is weakly epimorphic with val: <12 19 28 31 43|
Scale is weakly epimorphic with val: <12 19 28 32 42|
Scale is JI-epimorphic with val: <12 19 28 34 42| = patent
Scale is weakly epimorphic with val: <12 19 29 33 40|
Scale is weakly epimorphic with val: <12 19 29 34 45|
Scale is weakly epimorphic with val: <12 19 29 36 41|
Scale is JI-epimorphic with val: <12 19 29 36 45|
Scale is weakly epimorphic with val: <12 19 30 32 40|
Scale is weakly epimorphic with val: <12 19 30 35 43|
Scale is weakly epimorphic with val: <12 19 31 32 39|
Scale is weakly epimorphic with val: <12 19 31 32 43|
Scale is weakly epimorphic with val: <12 19 31 34 43|
Scale is weakly epimorphic with val: <12 19 31 37 40|
Scale is weakly epimorphic with val: <12 20 25 36 40|
Scale is weakly epimorphic with val: <12 20 25 36 42|
Scale is weakly epimorphic with val: <12 20 25 36 44|
Scale is weakly epimorphic with val: <12 20 27 31 41|
Scale is weakly epimorphic with val: <12 20 27 37 41|
Scale is weakly epimorphic with val: <12 20 28 33 44|
Scale is weakly epimorphic with val: <12 20 29 32 40|
Scale is weakly epimorphic with val: <12 20 29 32 42|
Scale is weakly epimorphic with val: <12 20 29 32 44|
Scale is weakly epimorphic with val: <12 20 30 34 39|
Scale is weakly epimorphic with val: <12 20 30 34 41|
Scale is weakly epimorphic with val: <12 20 30 34 43|
Scale is weakly epimorphic with val: <12 20 30 34 45|
Scale is weakly epimorphic with val: <12 20 31 33 41|
Scale is weakly epimorphic with val: <12 20 31 36 40|
Scale is weakly epimorphic with val: <12 20 31 36 42|
Scale is weakly epimorphic with val: <12 20 31 36 44|
Scale is weakly epimorphic with val: <12 21 25 36 41|
Scale is weakly epimorphic with val: <12 21 25 36 45|
Scale is weakly epimorphic with val: <12 21 26 32 44|
Scale is weakly epimorphic with val: <12 21 26 36 40|
Scale is weakly epimorphic with val: <12 21 27 32 39|
Scale is weakly epimorphic with val: <12 21 27 32 43|
Scale is weakly epimorphic with val: <12 21 28 34 42|
Scale is weakly epimorphic with val: <12 21 29 32 41|
Scale is weakly epimorphic with val: <12 21 29 32 45|
Scale is weakly epimorphic with val: <12 21 29 36 41|
Scale is weakly epimorphic with val: <12 21 29 36 45|
Scale is weakly epimorphic with val: <12 21 30 32 40|
Scale is weakly epimorphic with val: <12 21 30 34 40|
Scale is weakly epimorphic with val: <12 21 30 34 44|
Scale is weakly epimorphic with val: <12 21 31 34 43|
Scale is weakly epimorphic with val: <12 21 31 36 39|
Scale is weakly epimorphic with val: <12 21 31 36 43|
FIT/MODE
 12:  1 1 1 1 1 1 1 1 1 1 1 1  SP B ME I SD: 1.3159 c. M:-1.9752 c.  Twelve-tone Chromatic (1/11-comma)
 162: 13 14 13 14 13 14 13 14 13 14 13 14  SP B ME   SD: 1.3092 c. M: 1.9657 c. 
 174: 14 15 14 15 14 15 14 15 14 15 14 15  SP B ME   SD: 1.1290 c. M: 1.7102 c. 
 186: 15 16 15 16 15 16 15 16 15 16 15 16  SP B ME   SD: 0.9723 c. M: 1.4878 c. 
 198: 16 17 16 17 16 17 16 17 16 17 16 17  SP B ME   SD: 0.8347 c. M: 1.2923 c. 
 210: 17 18 17 18 17 18 17 18 17 18 17 18  SP B ME   SD: 0.7131 c. M: 1.1191 c. 
 222: 18 19 18 19 18 19 18 19 18 19 18 19  SP B ME   SD: 0.6049 c. M: 0.9647 c. 
 234: 19 20 19 20 19 20 19 20 19 20 19 20  SP B ME   SD: 0.5082 c. M: 0.8261 c. 
 246: 20 21 20 21 20 21 20 21 20 21 20 21  SP B ME   SD: 0.4214 c. M: 0.7010 c. 
 258: 21 22 21 22 21 22 21 22 21 22 21 22  SP B ME   SD: 0.3435 c. M: 0.5875 c. 
 270: 22 23 22 23 22 23 22 23 22 23 22 23  SP B ME   SD: 0.2736 c. M: 0.4842 c. 
 282: 23 24 23 24 23 24 23 24 23 24 23 24  SP B ME   SD: 0.2115 c. M: 0.3896 c. 
 294: 24 25 24 25 24 25 24 25 24 25 24 25  SP B ME   SD: 0.1580 c. M: 0.3028 c. 
 306: 25 26 25 26 25 26 25 26 25 26 25 26  SP B ME   SD: 0.1159 c. M: 0.2227 c. 
 318: 26 27 26 27 26 27 26 27 26 27 26 27  SP B ME   SD: 0.0919 c. M: 0.1488 c. 
 330: 27 28 27 28 27 28 27 28 27 28 27 28  SP B ME   SD: 0.0935 c. M:-0.1570 c. 
 648: 53 55 53 55 53 55 53 55 53 55 53 55  SP B DE   SD: 0.0895 c. M:-0.1286 c. 
 1614: 132 137 132 137 132 137 132 137 132 137 132 137  SP B DE   SD: 0.0894 c. M:-0.1286 c. 
 1626: 133 138 133 138 133 138 133 138 133 138 133 138  SP B DE   SD: 0.0898 c. M:-0.1301 c. 
 2099: 172 178 172 178 171 179 171 178 172 178 172 178  SP        SD: 0.1027 c. M:-0.1975 c. 
 2111: 173 179 173 179 172 180 172 179 173 179 173 179  SP        SD: 0.1045 c. M:-0.1959 c. 
 2123: 174 180 174 180 173 181 173 180 174 180 174 180  SP        SD: 0.1067 c. M:-0.2038 c. 
 2135: 175 181 175 181 174 182 174 181 175 181 175 181  SP        SD: 0.1093 c. M:-0.2125 c. 
 2147: 176 182 176 182 175 183 175 182 176 182 176 182  SP        SD: 0.1123 c. M:-0.2212 c. 
 2154: 176 183 176 183 176 183 176 183 176 183 176 183  SP B DE   SD: 0.1111 c. M: 0.2118 c. 
 2166: 177 184 177 184 177 184 177 184 177 184 177 184  SP B DE   SD: 0.1068 c. M: 0.2010 c. 
 2178: 178 185 178 185 178 185 178 185 178 185 178 185  SP B DE   SD: 0.1028 c. M: 0.1903 c. 
 2190: 179 186 179 186 179 186 179 186 179 186 179 186  SP B DE   SD: 0.0994 c. M: 0.1798 c. 
 2202: 180 187 180 187 180 187 180 187 180 187 180 187  SP B DE   SD: 0.0964 c. M: 0.1693 c. 
 2214: 181 188 181 188 181 188 181 188 181 188 181 188  SP B DE   SD: 0.0939 c. M: 0.1590 c. 
 2238: 183 190 183 190 183 190 183 190 183 190 183 190  SP B DE   SD: 0.0905 c. M: 0.1386 c. 
 2250: 184 191 184 191 184 191 184 191 184 191 184 191  SP B DE   SD: 0.0897 c. M:-0.1286 c. 
 2262: 185 192 185 192 185 192 185 192 185 192 185 192  SP B DE   SD: 0.0894 c. M:-0.1286 c. 
 2321: 190 197 190 197 189 198 189 197 190 197 190 197  SP        SD: 0.0879 c. M:-0.1702 c. 
 2333: 191 198 191 198 190 199 190 198 191 198 191 198  SP        SD: 0.0853 c. M:-0.1689 c. 
 2345: 192 199 192 199 191 200 191 199 192 199 192 199  SP        SD: 0.0833 c. M:-0.1675 c. 
 2357: 193 200 193 200 192 201 192 200 193 200 193 200  SP        SD: 0.0818 c. M:-0.1662 c. 
 2369: 194 201 194 201 193 202 193 201 194 201 194 201  SP        SD: 0.0808 c. M:-0.1649 c. 
 2381: 195 202 195 202 194 203 194 202 195 202 195 202  SP        SD: 0.0804 c. M:-0.1637 c. 
 2393: 196 203 196 203 195 204 195 203 196 203 196 203  SP        SD: 0.0806 c. M:-0.1624 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: 1.9651 cents
 3 x x x x 4 x x x 5 x x 6  S SD: 4.5983 cents
 4 x x x 5 x x 6 x x 7 x 8  S SD: 8.5497 cents
 5 x x 6 x x 7 x 8 x 9 x 10  S SD: 6.6817 cents
 6 x x 7 x 8 x 9 x 10 x 11:12  S SD: 9.9560 cents
 7 x 8 x 9 x 10 x 11:12 x 13:14  S SD: 9.8185 cents
 8 x 9 x 10 x 11:12:13 x 14:15:16  S SD: 9.1106 cents
 9 x 10:11 x 12:13 x 14:15:16:17:18  S SD: 8.2380 cents
 10 x 11:12 x 13:14:15:16:17:18:19:20  S SD: 6.9760 cents
 11 x 12:13:14:15:16 x 17:18:20:21:22  S SD: 11.2241 cents
 12:13 x 14:15:16:17:18:19:20:21:23:24    SD: 6.2922 cents
 13:14:15 x 16:17:18:19:21:22:23:25:26    SD: 9.6973 cents
 14:15:16:17:18:19:20:21:22:24:25:26:28  S SD: 7.2542 cents
 15:16:17:18:19:20:21:22:24:25:27:28:30    SD: 4.8467 cents
 22:23:25:26:28:29:31:33:35:37:39:41:44    SD: 3.9539 cents
 26:28:29:31:33:35:37:39:41:44:46:49:52    SD: 3.7844 cents
 27:29:30:32:34:36:38:40:43:45:48:51:54    SD: 3.3343 cents
 31:33:35:37:39:41:44:46:49:52:55:58:62    SD: 2.6684 cents
 32:34:36:38:40:43:45:48:51:54:57:60:64    SD: 2.2845 cents
 34:36:38:40:43:45:48:51:54:57:61:64:68    SD: 2.2665 cents
 42:44:47:50:53:56:59:63:67:71:75:79:84    SD: 2.2652 cents
 46:49:52:55:58:61:65:69:73:77:82:87:92    SD: 1.9942 cents
 48:51:54:57:60:64:68:72:76:81:86:91:96    SD: 1.9239 cents
 49:52:55:58:62:65:69:73:78:82:87:92:98    SD: 1.8130 cents
 50:53:56:59:63:67:71:75:79:84:89:94:100    SD: 1.6471 cents
 51:54:57:61:64:68:72:76:81:86:91:96:102    SD: 1.5942 cents
 54:57:61:64:68:72:76:81:86:91:96:102:108    SD: 1.5198 cents
 63:67:71:75:79:84:89:94:100:106:112:119:126    SD: 1.3457 cents
 65:69:73:77:82:87:92:97:103:109:116:123:130    SD: 1.1491 cents
 73:77:82:87:92:97:103:109:116:123:130:138:146    SD: 1.1285 cents
 80:85:90:95:101:107:113:120:127:134:143:151:160    SD: 1.1284 cents
 81:86:91:96:102:108:115:121:129:136:144:153:162    SD: 1.0600 cents
 84:89:94:100:106:112:119:126:133:141:150:158:168    SD: 0.9512 cents
 87:92:98:103:110:116:123:130:138:146:155:164:174    SD: 0.9306 cents
 90:95:101:107:113:120:127:135:143:151:160:170:180    SD: 0.9225 cents
 96:102:108:114:121:128:136:144:152:161:171:181:192    SD: 0.8862 cents
 97:103:109:115:122:129:137:145:154:163:173:183:194    SD: 0.7980 cents
 106:112:119:126:134:141:150:159:168:178:189:200:212    SD: 0.7702 cents
 107:113:120:127:135:143:151:160:170:180:191:202:214    SD: 0.7440 cents
 116:123:130:138:146:155:164:174:184:195:207:219:232    SD: 0.7010 cents
 123:130:138:146:155:164:174:184:195:207:219:232:246    SD: 0.4129 cents
 203:215:228:241:256:271:287:304:322:341:362:383:406    SD: 0.3424 cents
 219:232:246:260:276:292:310:328:348:368:390:413:438    SD: 0.3117 cents
 254:269:285:302:320:339:359:380:403:427:453:479:508    SD: 0.3007 cents
 261:276:293:310:329:348:369:391:414:438:465:492:522    SD: 0.2858 cents
 270:286:303:321:340:360:382:404:429:454:481:509:540    SD: 0.2757 cents
 276:292:310:328:348:368:390:413:438:464:492:520:552    SD: 0.2722 cents
 288:305:323:342:363:384:407:431:457:484:513:543:576    SD: 0.2138 cents
 342:362:384:406:431:456:484:512:543:575:609:645:684    SD: 0.2121 cents
 357:378:401:424:450:476:505:534:567:600:636:673:714    SD: 0.1952 cents
 393:416:441:467:495:524:556:588:624:660:700:741:786    SD: 0.1282 cents
 516:546:579:613:650:688:730:772:819:867:919:973:1032    SD: 0.1099 cents
 531:562:596:631:669:708:751:795:843:892:946:1001:1062    SD: 0.0880 cents