Scala analysis: SpUndecanarian
Sparschuh's [2010] epimoric 11-limit decomposition of the PC
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 3872/3675 90.401643 2: 28/25 196.198479 middle second 3: 1452/1225 294.311645 4: 1408/1125 388.466799 5: 3267/2450 498.221647 6: 15488/11025 588.446642 7: 539/360 698.746040 8: 1936/1225 792.356644 9: 3388/2025 891.014360 10: 2178/1225 996.266646 11: 61952/33075 1086.491641 12: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 33075/30976 113.5084 1: 3872/3675 90.4016 2: 1029/968 105.7968 3: 363/343 98.1132 4: 1568/1485 94.1552 5: 13365/12544 109.7548 6: 256/243 90.2250 limma, Pythagorean minor second 7: 12005/11264 110.2994 8: 12672/12005 93.6106 9: 343/324 98.6577 10: 729/686 105.2523 11: 256/243 90.2250 limma, Pythagorean minor second 12: 33075/30976 113.5084
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 256/243 90.225 cents limma, Pythagorean minor second 1: 1 3872/3675 90.402 cents 1: 1 12672/12005 93.611 cents 1: 1 1568/1485 94.155 cents 1: 1 363/343 98.113 cents 1: 1 343/324 98.658 cents 1: 1 729/686 105.252 cents 1: 1 1029/968 105.797 cents 1: 1 13365/12544 109.755 cents 1: 1 12005/11264 110.299 cents 1: 1 33075/30976 113.508 cents 2: 2 352/315 192.268 cents 2: 1 384/343 195.477 cents 2: 1 28/25 196.198 cents middle second 2: 1 55/49 199.980 cents quasi-equal major second 2: 1 12005/10692 200.524 cents 2: 1 1225/1089 203.733 cents 2: 5 9/8 203.910 cents major whole tone 3: 4 32/27 294.135 cents Pythagorean minor third 3: 1 1452/1225 294.312 cents 3: 1 14256/12005 297.521 cents 3: 1 196/165 298.065 cents 3: 1 3267/2744 302.023 cents 3: 1 343/288 302.568 cents 3: 1 2025/1694 308.986 cents 3: 1 9261/7744 309.707 cents 3: 1 1225/1024 310.279 cents two (septimal neutral second) 4: 1 45056/36015 387.746 cents 4: 1 1408/1125 388.467 cents 4: 1 3872/3087 392.248 cents 4: 1 2744/2187 392.793 cents 4: 1 432/343 399.387 cents 4: 1 1372/1089 399.932 cents 4: 1 495/392 403.890 cents 4: 1 12005/9504 404.434 cents 4: 1 1225/968 407.643 cents 4: 3 81/64 407.820 cents Pythagorean major third 5: 6 4/3 498.045 cents perfect fourth 5: 1 3267/2450 498.222 cents 5: 1 720/539 501.254 cents 5: 1 147/110 501.975 cents 5: 2 385/288 502.548 cents 5: 1 162/121 505.184 cents 6: 1 1024/729 588.270 cents Pythagorean diminished fifth 6: 1 15488/11025 588.447 cents 6: 1 16896/12005 591.656 cents 6: 1 6272/4455 592.200 cents 6: 1 484/343 596.158 cents 6: 1 343/243 596.703 cents 6: 1 486/343 603.297 cents 6: 1 343/242 603.842 cents 6: 1 4455/3136 607.800 cents 6: 1 12005/8448 608.344 cents 6: 1 11025/7744 611.553 cents 6: 1 729/512 611.730 cents Pythagorean tritone 7: 1 121/81 694.816 cents two (undecimal neutral third) 7: 2 576/385 697.452 cents 7: 1 220/147 698.025 cents 7: 1 539/360 698.746 cents 7: 1 4900/3267 701.778 cents 7: 6 3/2 701.955 cents perfect fifth 8: 3 128/81 792.180 cents Pythagorean minor sixth 8: 1 1936/1225 792.357 cents 8: 1 19008/12005 795.566 cents 8: 1 784/495 796.110 cents 8: 1 1089/686 800.068 cents 8: 1 343/216 800.613 cents 8: 1 2187/1372 807.207 cents 8: 1 3087/1936 807.752 cents 8: 1 1125/704 811.533 cents 8: 1 36015/22528 812.254 cents 9: 1 2048/1225 889.721 cents 9: 1 15488/9261 890.293 cents 9: 1 3388/2025 891.014 cents 9: 1 576/343 897.432 cents 9: 1 5488/3267 897.977 cents 9: 1 165/98 901.935 cents 9: 1 12005/7128 902.479 cents 9: 1 1225/726 905.688 cents 9: 4 27/16 905.865 cents Pythagorean major sixth 10: 5 16/9 996.090 cents Pythagorean minor seventh 10: 1 2178/1225 996.267 cents 10: 1 21384/12005 999.476 cents 10: 1 98/55 1000.020 cents quasi-equal minor seventh 10: 1 25/14 1003.802 cents middle minor seventh 10: 1 343/192 1004.523 cents 10: 2 315/176 1007.732 cents 11: 1 61952/33075 1086.492 cents 11: 1 22528/12005 1089.701 cents 11: 1 25088/13365 1090.245 cents 11: 1 1936/1029 1094.203 cents 11: 1 1372/729 1094.748 cents 11: 1 648/343 1101.342 cents 11: 1 686/363 1101.887 cents 11: 1 1485/784 1105.845 cents 11: 1 12005/6336 1106.389 cents 11: 1 3675/1936 1109.598 cents 11: 2 243/128 1109.775 cents Pythagorean major seventh Highest number of different intervals for one interval class: 12 Average number of different intervals per interval class: 8.90909 = 98/11
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 90.4 196.2 294.3 388.5 498.2 588.4 698.7 792.4 891.0 996.3 1086.5 1200.0 90.4 : 105.8 203.9 298.1 407.8 498.0 608.3 702.0 800.6 905.9 996.1 1109.6 1200.0 196.2 : 98.1 192.3 302.0 392.2 502.5 596.2 694.8 800.1 890.3 1003.8 1094.2 1200.0 294.3 : 94.2 203.9 294.1 404.4 498.0 596.7 702.0 792.2 905.7 996.1 1101.9 1200.0 388.5 : 109.8 200.0 310.3 403.9 502.5 607.8 698.0 811.5 901.9 1007.7 1105.8 1200.0 498.2 : 90.2 200.5 294.1 392.8 498.0 588.3 701.8 792.2 898.0 996.1 1090.2 1200.0 588.4 : 110.3 203.9 302.6 407.8 498.0 611.6 702.0 807.8 905.9 1000.0 1109.8 1200.0 698.7 : 93.6 192.3 297.5 387.7 501.3 591.7 697.5 795.6 889.7 999.5 1089.7 1200.0 792.4 : 98.7 203.9 294.1 407.6 498.0 603.8 702.0 796.1 905.9 996.1 1106.4 1200.0 891.0 : 105.3 195.5 309.0 399.4 505.2 603.3 697.5 807.2 897.4 1007.7 1101.3 1200.0 996.3 : 90.2 203.7 294.1 399.9 498.0 592.2 702.0 792.2 902.5 996.1 1094.7 1200.0 1086.5: 113.5 203.9 309.7 407.8 502.0 611.7 702.0 812.3 905.9 1004.5 1109.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 90.2250 .. 113.5084 cents 8037225/7929856, 23.2834 cents 256/243, 90.2250 cents 2: 192.2683 .. 203.9100 cents 2835/2816, 11.6417 cents 10903552/10418625, 78.7600 cents 3: 294.1350 .. 310.2792 cents 33075/32768, 16.1442 cents 256/243, 90.2250 cents 4: 387.7456 .. 407.8200 cents 2917215/2883584, 20.0744 cents 46137344/44118375, 77.4664 cents 5: 498.0450 .. 505.1841 cents 243/242, 7.1391 cents 256/243, 90.2250 cents 6: 588.2700 .. 611.7300 cents 531441/524288, 23.4600 cents 61952/59049, 83.0859 cents 7: 694.8159 .. 701.9550 cents 243/242, 7.1391 cents 61952/59049, 83.0859 cents 8: 792.1800 .. 812.2544 cents 2917215/2883584, 20.0744 cents 256/243, 90.2250 cents 9: 889.7208 .. 905.8650 cents 33075/32768, 16.1442 cents 46137344/44118375, 77.4664 cents 10: 996.0900 .. 1007.7317 cents 2835/2816, 11.6417 cents 256/243, 90.2250 cents 11: 1086.4916 .. 1109.7750 cents 8037225/7929856, 23.2834 cents 10903552/10418625, 78.7600 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 256/243, 90.2250 cents, class 1 Average step (divided formal octave): 100.0000 cents Largest one step interval : 33075/30976, 113.5084 cents Average / Smallest step : 1.108340 Largest / Average step : 1.135084 Largest / Smallest step : 1.258059 Median interval of one step : 98.38544 cents, amount: 0 Most common interval of one step : 256/243, 90.2250 cents, amount: 2 Least squares average step : 99.23795 cents, oct.: 1190.85541 cents Scale is strictly proper Step pattern alph. order: ABCDEFGHIJFK Step pattern size order : BHEDIAJCFGAK Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 77.46636 cents Scale diversity : 1.125909 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.849979 Rothenberg efficiency : 0.213880 redundancy: 0.786120 Efficiency x scale size : 2.566558 Number of different interval sizes : 98 = 8.90909 / class Number of one step interval sizes : 11 Highest interval variety : 12 Mean interval variety : 8.90909 = 98/11 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 9801/9800, 0.1766 cents Most common intervals : 4/3, 498.0450 cents & inv., amount: 6 Most common triad is 0.0 498.045 701.955 cents, amount: 5 Number of recognisable fifths : 12, average 700.0000 cents Scale is a well-temperament. It has 6 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 23.2834 cents: 2 3 5 7 9 10 Limited inverse transpositions with margin 23.2834 cents: 1 2 4 6 8 9 11 -- Rational properties -- Prime limit : 11 Odd number limit : 36015 (O: 36015 U: 36015) Highest odd numerator or denominator: 33075 Scale harmonicity : 0.007851 Average absolute harmonicity : 0.098502 Specific harmonicity : 0.044776 Fundamental : 1/3969000, -21.9203 octaves, 0.0001 Hz. Guide tone : 81962496, 26.2885 octaves, 21443484349.481 Hz. Exponens Consonantiae : 3.253091E+14, 48.20880 octaves Euler's gradus suavitatis : 83 Sum of Mann's harmonic distance : 76473.0, average 6372.75000 Mersenne's string divisions : too high to compute Sum of van Prooijen's expressibility: 35.39280, average 2.94940 Sum of Tenney's harmonic distance : 72.12192, average 6.01016 Vogel's harmonic complexity : 46.50000 Wille's k value : 2971237 Wilson's harmonic complexity : 86 Rectangular lattice diameter : 16 Triangular lattice diameter : 7 Lattice compactness : 448.79684, average 5.75381 Lattice compactness (without 2's) : 282.99542, average 3.62815 Number of different primes : 5 Prime exponents' range, average, count, tones@limit: 2: -3 .. 9 3.00000 44 1 3: -4 .. 3 -0.66667 20 5: -3 .. 0 -1.83333 22 7: -2 .. 2 -0.83333 18 1 11: 0 .. 2 1.50000 18 10 Average exponent except 2's :-22 / 12 =-1.83333 Average absolute exponent except 2's: 78 / 12 = 6.50000 Scale is weakly epimorphic with val: <12 17 27 35 41| Scale is weakly epimorphic with val: <12 17 29 36 44| Scale is weakly epimorphic with val: <12 17 31 31 41| Scale is weakly epimorphic with val: <12 19 25 33 43| Scale is weakly epimorphic with val: <12 19 31 36 40|
FIT/MODE
12: 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 7.8832 c. M:-13.5084 c. Twelve-tone Chromatic (1/11-comma) 39: 3 3 4 3 3 3 4 3 3 3 3 4 SP D3 SD: 8.4998 c. M:-13.3807 c. 41: 3 4 3 3 4 3 4 3 3 4 3 4 SP M ME SD: 5.4662 c. M: 12.9656 c. Schismic-12 43: 3 4 4 3 4 3 4 3 4 4 3 4 SP M ME SD: 6.0035 c. M:-12.6651 c. Meantone Chromatic (1/5-comma) 45: 3 4 4 4 4 3 4 4 3 4 4 4 SP D3 SD: 7.9347 c. M:-11.5332 c. 50: 4 4 4 4 5 4 4 4 4 5 3 5 SP D3 SD: 6.2729 c. M:-11.7334 c. 53: 4 5 4 4 5 4 5 4 4 5 4 5 SP M ME SD: 3.4647 c. M: 7.9955 c. Schismic-12 65: 5 6 5 5 6 5 6 5 5 6 5 6 SP M ME SD: 2.8828 c. M:-6.8784 c. 77: 6 7 6 6 7 6 7 6 6 7 6 7 SP M ME SD: 3.0291 c. M:-6.3989 c. 89: 7 8 7 7 8 7 8 7 7 8 7 8 SP M ME SD: 3.4004 c. M:-6.0487 c. 92: 7 8 8 7 8 7 9 7 7 8 7 9 SP SD: 3.5208 c. M:-5.6884 c. 93: 7 8 8 7 9 7 8 7 8 8 7 9 SP SD: 3.0595 c. M: 5.2599 c. 94: 7 8 8 7 9 7 9 7 8 8 7 9 SP D3 SD: 2.5266 c. M: 5.4881 c. 98: 7 9 8 8 9 7 9 8 8 8 8 9 SP D3 S SD: 2.8969 c. M: 4.6874 c. 102: 8 9 8 8 9 8 9 8 9 9 7 10 SP SD: 3.2190 c. M: 4.6284 c. 104: 8 9 9 8 9 8 10 8 8 9 8 10 SP SD: 3.1775 c. M:-5.6884 c. 105: 8 9 9 8 10 7 10 8 9 9 8 10 SP SD: 2.6936 c. M: 5.5895 c. 106: 8 9 9 8 10 8 10 8 9 9 8 10 SP D3 SD: 1.9964 c. M: 3.7456 c. 118: 9 10 10 9 11 9 11 9 10 10 9 11 SP D3 SD: 1.9149 c. M:-3.9009 c. 130: 10 11 11 10 12 10 12 10 11 11 10 12 SP D3 SD: 2.1099 c. M:-4.3703 c. 135: 10 12 11 11 12 10 13 10 11 12 10 13 SP SD: 1.7528 c. M:-3.4762 c. 147: 11 13 12 12 13 11 14 11 12 13 11 14 SP SD: 1.4684 c. M:-3.3699 c. 151: 11 14 12 12 14 11 14 12 12 13 12 14 SP SD: 1.8763 c. M: 2.9844 c. 159: 12 14 13 12 15 12 15 12 13 14 12 15 SP SD: 1.3827 c. M: 3.5611 c. 170: 13 15 14 13 16 12 16 13 14 15 13 16 SP SD: 1.6059 c. M:-2.9548 c. 171: 13 15 14 13 16 13 16 13 14 15 13 16 SP SD: 1.2685 c. M:-3.0083 c. 180: 14 15 15 14 17 13 17 14 15 15 14 17 SP SD: 1.9120 c. M: 2.9333 c. 182: 14 16 15 14 17 13 17 14 15 16 14 17 SP SD: 1.5216 c. M:-2.8773 c. 183: 14 16 15 14 17 14 17 14 15 16 14 17 SP SD: 1.3788 c. M:-2.8933 c. 191: 14 17 16 15 17 15 17 15 16 17 14 18 SP SD: 1.5619 c. M:-2.6862 c. 195: 15 17 16 15 18 15 18 15 16 17 15 18 SP SD: 1.6069 c. M:-2.7924 c. 200: 15 18 16 16 18 15 18 16 17 17 15 19 SP SD: 1.3844 c. M:-2.9856 c. 212: 16 19 17 17 19 16 19 17 17 19 16 20 SP SD: 1.2932 c. M: 2.5196 c. 216: 16 19 18 17 20 16 20 17 17 19 17 20 SP SD: 1.5393 c. M:-2.3972 c. 217: 16 19 18 17 20 16 20 17 18 19 16 21 SP SD: 1.6834 c. M: 2.6501 c. 221: 17 19 18 18 20 16 21 17 18 19 17 21 SP SD: 1.5208 c. M: 2.6015 c. 222: 17 19 18 18 20 17 20 18 18 19 17 21 SP SD: 1.3919 c. M: 2.4198 c. 224: 17 20 18 18 20 17 20 18 18 20 17 21 SP SD: 1.3467 c. M:-2.6046 c. 225: 17 20 18 18 20 17 21 18 18 20 17 21 SP SD: 1.2925 c. M:-2.3100 c. 229: 17 20 19 18 21 17 21 18 19 20 17 22 SP SD: 1.2547 c. M: 2.3120 c. 232: 17 21 19 18 21 18 21 18 19 21 17 22 SP SD: 1.2306 c. M: 2.4706 c. 233: 18 20 19 18 22 17 22 18 19 20 18 22 SP SD: 1.3895 c. M:-2.3022 c. 236: 18 21 19 18 22 18 21 19 19 21 18 22 SP SD: 1.3423 c. M: 2.1359 c. 241: 18 21 20 19 22 18 22 19 20 21 18 23 SP SD: 0.9239 c. M: 2.0076 c. 253: 19 22 21 20 23 19 23 20 21 22 19 24 SP SD: 0.7342 c. M: 1.7321 c. 257: 19 23 21 20 24 19 24 20 21 22 20 24 SP SD: 1.1569 c. M: 1.7141 c. 263: 20 23 21 21 24 20 24 21 21 23 20 25 SP SD: 1.1007 c. M: 2.2964 c. 265: 20 23 22 21 24 20 24 21 22 23 20 25 SP SD: 0.7290 c. M: 1.4815 c. 277: 21 24 23 22 25 21 25 22 23 24 21 26 SP SD: 0.8697 c. M:-1.4249 c. 282: 21 25 23 22 26 21 26 22 23 25 21 27 SP SD: 0.9713 c. M: 1.6527 c. 294: 22 26 24 23 27 22 27 23 24 26 22 28 SP SD: 0.6316 c. M: 1.2184 c. 306: 23 27 25 24 28 23 28 24 25 27 23 29 SP SD: 0.3556 c. M: 0.8183 c. 318: 24 28 26 25 29 24 29 25 26 28 24 30 SP SD: 0.2650 c. M: 0.6328 c. 648: 49 57 53 51 59 49 59 51 53 57 49 61 SP SD: 0.3301 c. M: 0.5979 c. 665: 50 59 54 52 61 50 61 52 55 58 50 63 SP SD: 0.2943 c. M: 0.4969 c. 677: 51 60 55 53 62 51 62 53 56 59 51 64 SP SD: 0.2718 c. M:-0.5661 c. 718: 54 63 59 56 66 54 66 56 59 63 54 68 SP SD: 0.3143 c. M: 0.7231 c. 730: 55 64 60 57 67 55 67 57 60 64 55 69 SP SD: 0.2366 c. M: 0.5820 c. 742: 56 65 61 58 68 56 68 58 61 65 56 70 SP SD: 0.2199 c. M: 0.5111 c. 800: 60 71 65 63 73 60 74 62 66 70 60 76 SP SD: 0.3033 c. M: 0.4916 c. 807: 61 71 66 63 74 61 74 63 66 71 61 76 SP SD: 0.2608 c. M:-0.4972 c. 812: 61 72 66 64 74 61 75 63 67 71 61 77 SP SD: 0.2340 c. M:-0.3532 c. 824: 62 73 67 65 75 62 76 64 68 72 62 78 SP SD: 0.2144 c. M:-0.4035 c. 971: 73 86 79 76 89 73 89 76 80 85 73 92 SP SD: 0.2491 c. M: 0.4968 c. 983: 74 87 80 77 90 74 90 77 81 86 74 93 SP SD: 0.2044 c. M: 0.4754 c. 995: 75 88 81 78 91 75 91 78 82 87 75 94 SP SD: 0.2014 c. M: 0.4546 c. 1036: 78 91 85 81 95 78 95 81 85 91 78 98 SP SD: 0.2258 c. M: 0.4456 c. 1048: 79 92 86 82 96 79 96 82 86 92 79 99 SP SD: 0.1856 c. M: 0.3970 c. 1060: 80 93 87 83 97 80 97 83 87 93 80 100 SP SD: 0.1859 c. M: 0.3494 c. 1065: 80 94 87 84 97 80 98 83 88 93 80 101 SP SD: 0.2242 c. M: 0.2945 c. 1072: 81 94 88 84 98 81 98 84 88 94 81 101 SP SD: 0.2241 c. M:-0.4487 c. 1077: 81 95 88 85 98 81 99 84 89 94 81 102 SP SD: 0.1992 c. M:-0.3911 c. 1118: 84 99 91 88 102 84 103 87 92 98 84 106 SP SD: 0.1924 c. M: 0.2662 c. 1130: 85 100 92 89 103 85 104 88 93 99 85 107 SP SD: 0.1473 c. M:-0.2617 c. 1142: 86 101 93 90 104 86 105 89 94 100 86 108 SP SD: 0.1439 c. M:-0.3248 c. 1248: 94 110 102 98 114 94 115 97 103 109 94 118 SP SD: 0.1423 c. M:-0.3318 c. 1436: 108 127 117 113 131 108 132 112 118 126 108 136 SP SD: 0.1523 c. M: 0.2066 c. 1448: 109 128 118 114 132 109 133 113 119 127 109 137 SP SD: 0.1264 c. M:-0.2104 c. 1542: 116 136 126 121 141 116 142 120 127 135 116 146 SP SD: 0.1203 c. M: 0.1672 c. 1554: 117 137 127 122 142 117 143 121 128 136 117 147 SP SD: 0.0848 c. M: 0.1521 c. 1860: 140 164 152 146 170 140 171 145 153 163 140 176 SP SD: 0.0882 c. M: 0.1571 c. 1872: 141 165 153 147 171 141 172 146 154 164 141 177 SP SD: 0.0634 c. M: 0.1447 c. 1884: 142 166 154 148 172 142 173 147 155 165 142 178 SP SD: 0.0735 c. M:-0.1326 c. 2190: 165 193 179 172 200 165 201 171 180 192 165 207 SP SD: 0.0722 c. M: 0.1395 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: 1.6045 cents 3 x x x x 4 x x x 5 x x 6 S SD: 2.2193 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 6.9279 cents 5 x x 6 x x 7 x 8 x 9 x 10 S SD: 7.4835 cents 6 x x 7 x 8 x 9 x 10 x 11:12 S SD: 7.7927 cents 7 x 8 x 9 x 10 x 11:12 x 13:14 S SD: 11.3655 cents 8 x 9 x 10 x 11:12:13 x 14:15:16 S SD: 8.4127 cents 9 x 10 x 11:12:13 x 14:15:16:17:18 S SD: 8.0168 cents 10 x 11:12 x 13:14:15:16:17:18:19:20 S SD: 7.5458 cents 11 x 12:13:14:15 x 16:17:18:20:21:22 S SD: 11.1866 cents 12:13 x 14:15:16:17:18:19:20:21:22:24 S SD: 6.7336 cents 13:14 x 15:16:17:18:19:21:22:23:24:26 SD: 9.3100 cents 14:15:16:17:18:19:20:21:22:23:25:26:28 SD: 7.9668 cents 15:16:17:18:19:20:21:22:24:25:27:28:30 SD: 5.3100 cents 16:17:18:19:20:21:22:24:25:27:28:30:32 SD: 5.1329 cents 17:18:19:20:21:23:24:25:27:28:30:32:34 SD: 4.9204 cents 22:23:25:26:28:29:31:33:35:37:39:41:44 SD: 4.1101 cents 24:25:27:28:30:32:34:36:38:40:43:45:48 SD: 3.3983 cents 31:33:35:37:39:41:44:46:49:52:55:58:62 SD: 3.2634 cents 32:34:36:38:40:43:45:48:51:54:57:60:64 SD: 2.5306 cents 33:35:37:39:41:44:46:49:52:55:59:62:66 SD: 2.4997 cents 36:38:40:43:45:48:51:54:57:60:64:67:72 SD: 2.3300 cents 39:41:44:46:49:52:55:58:62:65:69:73:78 SD: 2.1965 cents 40:42:45:47:50:53:56:60:63:67:71:75:80 SD: 1.9467 cents 48:51:54:57:60:64:67:72:76:80:85:90:96 SD: 1.9105 cents 50:53:56:59:63:67:70:75:79:84:89:94:100 SD: 1.8977 cents 52:55:58:62:65:69:73:78:82:87:92:97:104 SD: 1.7217 cents 55:58:62:65:69:73:77:82:87:92:98:103:110 SD: 1.5400 cents 59:62:66:70:74:79:83:88:93:99:105:111:118 SD: 1.3150 cents 60:63:67:71:75:80:84:90:95:100:107:112:120 SD: 1.2840 cents 72:76:81:85:90:96:101:108:114:120:128:135:144 SD: 1.1697 cents 76:80:85:90:95:101:107:114:120:127:135:142:152 SD: 0.8465 cents 91:96:102:108:114:121:128:136:144:152:162:170:182 SD: 0.7999 cents 107:113:120:127:134:143:150:160:169:179:190:200:214 SD: 0.7475 cents 108:114:121:128:135:144:152:162:171:181:192:202:216 SD: 0.6508 cents 126:133:141:149:158:168:177:189:199:211:224:236:252 SD: 0.6126 cents 131:138:147:155:164:175:184:196:207:219:233:245:262 SD: 0.5352 cents 135:142:151:160:169:180:190:202:213:226:240:253:270 SD: 0.4961 cents 150:158:168:178:188:200:211:225:237:251:267:281:300 SD: 0.4566 cents 167:176:187:198:209:223:235:250:264:279:297:313:334 SD: 0.3996 cents 183:193:205:217:229:244:257:274:289:306:325:343:366 SD: 0.2847 cents 243:256:272:288:304:324:341:364:384:407:432:455:486 SD: 0.2605 cents 282:297:316:334:353:376:396:422:446:472:501:528:564 SD: 0.2454 cents 302:318:338:358:378:403:424:452:477:505:537:566:604 SD: 0.2446 cents 318:335:356:377:398:424:447:476:503:532:565:596:636 SD: 0.2180 cents 334:352:374:396:418:445:469:500:528:559:594:626:668 SD: 0.1930 cents 393:414:440:466:492:524:552:588:621:658:699:736:786 SD: 0.1834 cents 410:432:459:486:513:547:576:614:648:686:729:768:820 SD: 0.1107 cents 600:632:672:711:751:800:843:898:948:1004:1067:1124:1200 SD: 0.0978 cents