Scala analysis: Ensemble_almost_JI
epimoric Ensemble ~JI @ A4=440Hz by Andreas Sparschuh
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 2227/2112 91.790068 2: 37/33 198.071096 3: 313/264 294.749673 4: 5/4 386.313714 major third 5: 4/3 498.044999 perfect fourth 6: 45/32 590.223716 diatonic tritone 7: 3/2 701.955001 perfect fifth 8: 835/524 806.651263 9: 5/3 884.358713 major sixth, BP sixth 10: 939/524 1009.870015 11: 15/8 1088.268715 classic major seventh 12: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 16/15 111.7313 minor diatonic semitone 1: 2227/2112 91.7901 2: 2368/2227 106.2810 3: 313/296 96.6786 4: 330/313 91.5640 5: 16/15 111.7313 minor diatonic semitone 6: 135/128 92.1787 major chroma, major limma 7: 16/15 111.7313 minor diatonic semitone 8: 835/786 104.6963 9: 524/501 77.7075 10: 2817/2620 125.5113 11: 655/626 78.3987 12: 16/15 111.7313 minor diatonic semitone
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 524/501 77.707 cents 1: 1 655/626 78.399 cents 1: 1 330/313 91.564 cents 1: 1 2227/2112 91.790 cents 1: 1 135/128 92.179 cents major chroma, major limma 1: 1 313/296 96.679 cents 1: 1 835/786 104.696 cents 1: 1 2368/2227 106.281 cents 1: 3 16/15 111.731 cents minor diatonic semitone 1: 1 2817/2620 125.511 cents 2: 1 10/9 182.404 cents minor whole tone 2: 1 165/148 188.243 cents 2: 1 1048/939 190.130 cents 2: 1 37/33 198.071 cents 2: 1 2504/2227 202.960 cents 2: 1 939/835 203.219 cents 2: 1 352/313 203.295 cents 2: 1 2227/1980 203.521 cents 2: 3 9/8 203.910 cents major whole tone 2: 1 1336/1179 216.428 cents 3: 1 393/334 281.617 cents 3: 1 291737/247896 281.920 cents 3: 1 32/27 294.135 cents Pythagorean minor third 3: 1 2640/2227 294.524 cents 3: 1 313/264 294.750 cents 3: 1 1485/1252 295.474 cents 3: 1 44/37 299.974 cents 3: 1 313/262 307.915 cents 3: 1 2505/2096 308.606 cents 3: 1 592/495 309.802 cents 3: 2 6/5 315.641 cents minor third 4: 3 5/4 386.314 cents major third 4: 1 38776/30987 388.201 cents 4: 1 1485/1184 392.153 cents 4: 1 1048/835 393.349 cents 4: 1 2816/2227 406.255 cents 4: 1 626/495 406.481 cents 4: 1 396/313 407.205 cents 4: 1 2227/1760 407.431 cents 4: 1 2504/1965 419.646 cents 4: 1 167/131 420.338 cents 5: 1 131/99 484.880 cents 5: 1 291737/220440 485.139 cents 5: 5 4/3 498.045 cents perfect fourth 5: 1 2970/2227 498.434 cents 5: 1 99/74 503.884 cents 5: 1 2817/2096 511.825 cents 5: 1 55110/41003 511.902 cents 5: 1 74/55 513.712 cents 6: 1 1310/939 576.444 cents 6: 1 440/313 589.609 cents 6: 1 2227/1584 589.835 cents 6: 2 45/32 590.224 cents diatonic tritone 6: 1 38776/27555 591.420 cents 6: 1 27555/19388 608.580 cents 6: 2 64/45 609.776 cents 2nd tritone 6: 1 3168/2227 610.165 cents 6: 1 313/220 610.391 cents 6: 1 939/655 623.556 cents 7: 1 55/37 686.288 cents 7: 1 41003/27555 688.098 cents 7: 1 4192/2817 688.175 cents 7: 1 148/99 696.116 cents 7: 1 2227/1485 701.566 cents 7: 5 3/2 701.955 cents perfect fifth 7: 1 440880/291737 714.861 cents 7: 1 198/131 715.120 cents 8: 1 262/167 779.662 cents 8: 1 1965/1252 780.354 cents 8: 1 3520/2227 792.569 cents 8: 1 313/198 792.795 cents 8: 1 495/313 793.519 cents 8: 1 2227/1408 793.745 cents 8: 1 835/524 806.651 cents 8: 1 2368/1485 807.847 cents 8: 1 30987/19388 811.799 cents 8: 3 8/5 813.686 cents minor sixth 9: 2 5/3 884.359 cents major sixth, BP sixth 9: 1 495/296 890.198 cents 9: 1 4192/2505 891.394 cents 9: 1 524/313 892.085 cents 9: 1 37/22 900.026 cents 9: 1 2504/1485 904.526 cents 9: 1 528/313 905.250 cents 9: 1 2227/1320 905.476 cents 9: 1 27/16 905.865 cents Pythagorean major sixth 9: 1 495792/291737 918.080 cents 9: 1 668/393 918.383 cents 10: 1 1179/668 983.572 cents 10: 3 16/9 996.090 cents Pythagorean minor seventh 10: 1 3960/2227 996.479 cents 10: 1 313/176 996.705 cents 10: 1 1670/939 996.781 cents 10: 1 2227/1252 997.040 cents 10: 1 66/37 1001.929 cents 10: 1 939/524 1009.870 cents 10: 1 296/165 1011.757 cents 10: 1 9/5 1017.596 cents just minor seventh, BP seventh 11: 1 5240/2817 1074.489 cents 11: 3 15/8 1088.269 cents classic major seventh 11: 1 2227/1184 1093.719 cents 11: 1 1572/835 1095.304 cents 11: 1 592/313 1103.321 cents 11: 1 256/135 1107.821 cents octave - major chroma 11: 1 4224/2227 1108.210 cents 11: 1 313/165 1108.436 cents 11: 1 1252/655 1121.601 cents 11: 1 501/262 1122.293 cents Highest number of different intervals for one interval class: 11 Average number of different intervals per interval class: 9.81818 = 108/11
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 91.8 198.1 294.7 386.3 498.0 590.2 702.0 806.7 884.4 1009.9 1088.3 1200.0 91.8 : 106.3 203.0 294.5 406.3 498.4 610.2 714.9 792.6 918.1 996.5 1108.2 1200.0 198.1 : 96.7 188.2 300.0 392.2 503.9 608.6 686.3 811.8 890.2 1001.9 1093.7 1200.0 294.7 : 91.6 203.3 295.5 407.2 511.9 589.6 715.1 793.5 905.3 997.0 1103.3 1200.0 386.3 : 111.7 203.9 315.6 420.3 498.0 623.6 702.0 813.7 905.5 1011.8 1108.4 1200.0 498.0 : 92.2 203.9 308.6 386.3 511.8 590.2 702.0 793.7 900.0 996.7 1088.3 1200.0 590.2 : 111.7 216.4 294.1 419.6 498.0 609.8 701.6 807.8 904.5 996.1 1107.8 1200.0 702.0 : 104.7 182.4 307.9 386.3 498.0 589.8 696.1 792.8 884.4 996.1 1088.3 1200.0 806.7 : 77.7 203.2 281.6 393.3 485.1 591.4 688.1 779.7 891.4 983.6 1095.3 1200.0 884.4 : 125.5 203.9 315.6 407.4 513.7 610.4 702.0 813.7 905.9 1017.6 1122.3 1200.0 1009.9: 78.4 190.1 281.9 388.2 484.9 576.4 688.2 780.4 892.1 996.8 1074.5 1200.0 1088.3: 111.7 203.5 309.8 406.5 498.0 609.8 702.0 813.7 918.4 996.1 1121.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 77.7075 .. 125.5113 cents 1411317/1372880, 47.8039 cents 524/501, 77.7075 cents 2: 182.4037 .. 216.4275 cents 668/655, 34.0238 cents 26200/25353, 56.8924 cents 3: 281.6175 .. 315.6413 cents 668/655, 34.0238 cents 463347/446224, 65.1899 cents 4: 386.3137 .. 420.3375 cents 668/655, 34.0238 cents 25/24, 70.6724 cents 5: 484.8797 .. 513.7124 cents 666/655, 28.8327 cents 17161/16533, 64.5421 cents 6: 576.4437 .. 623.5563 cents 881721/858050, 47.1126 cents 36025/34743, 62.7313 cents 7: 686.2876 .. 715.1203 cents 666/655, 28.8327 cents 36025/34743, 62.7313 cents 8: 779.6625 .. 813.6863 cents 668/655, 34.0238 cents 17161/16533, 64.5421 cents 9: 884.3587 .. 918.3825 cents 668/655, 34.0238 cents 25/24, 70.6724 cents 10: 983.5725 .. 1017.5963 cents 668/655, 34.0238 cents 463347/446224, 65.1899 cents 11: 1074.4887 .. 1122.2925 cents 1411317/1372880, 47.8039 cents 26200/25353, 56.8924 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 524/501, 77.7075 cents, class 1 Average step (divided formal octave): 100.0000 cents Largest one step interval : 2817/2620, 125.5113 cents Average / Smallest step : 1.286878 Largest / Average step : 1.255113 Largest / Smallest step : 1.615177 Median interval of one step : 100.68742 cents, amount: 0 Most common interval of one step : 16/15, 111.7313 cents, amount: 3 Least squares average step : 99.60736 cents, oct.: 1195.28830 cents Scale is strictly proper Step pattern alph. order: ABCDEFEGHIJE Step pattern size order : DHFCIEIGAJBI Scale is a Constant Structure, by a margin of 56.89241 cents Scale diversity : 1.298534 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.662893 Rothenberg efficiency : 0.198864 redundancy: 0.801136 Efficiency x scale size : 2.386364 Number of different interval sizes : 108 = 9.81818 / class Number of one step interval sizes : 10 Highest interval variety : 11 Mean interval variety : 9.81818 = 108/11 Median interval variety : 8 Lowest interval variety : 8 Smallest interval difference : 293920/293907, 0.0766 cents Most common intervals : 4/3, 498.0450 cents & inv., amount: 5 Most common triad is 0.0 498.045 701.955 cents, amount: 3 Number of recognisable fifths : 12, average 700.0000 cents Number of appreciable fifths : 7, average 701.0654 cents Best fifths form a closed circle Scale contains a complete diamond : 1 3 Formal octave complements present : 3 = 25.0000% Limited transpositions with margin 34.0238 cents: 5 7 Limited inverse transpositions with margin 34.0238 cents: 2 9 11 -- Rational properties -- Prime limit : 313 Odd number limit : 291737 (O: 291737 U: 291737) Highest odd numerator or denominator: 2227 Scale harmonicity : 0.014144 Fundamental : 1/276672, -18.0778 octaves, 0.0009 Hz. Guide tone : too high to compute Exponens Consonantiae : 2.144966E+17, 57.57373 octaves Euler's gradus suavitatis : 819 Sum of Mann's harmonic distance : 3970.0, average 330.83333 Mersenne's string divisions : too high to compute Sum of van Prooijen's expressibility: 18.48730, average 1.54061 Sum of Tenney's harmonic distance : 35.88232, average 2.99019 Vogel's harmonic complexity : 208.25000 Wille's k value : 145868 Wilson's harmonic complexity : 821 Rectangular lattice diameter : 11 Triangular lattice diameter : 5 Lattice compactness : 255.21026, average 3.27193 Lattice compactness (without 2's) : 123.82236, average 1.58747 Number of different primes : 9 Prime exponents' range, average, count, tones@limit: 2: -6 .. 2 -1.75000 27 1 3: -1 .. 2 0.00000 10 2 5: 0 .. 1 0.41667 5 4 11: -1 .. 0 -0.25000 3 17: 0 .. 1 0.08333 1 37: 0 .. 1 0.08333 1 1 131: -1 .. 1 -0.08333 3 1 167: 0 .. 1 0.08333 1 1 313: 0 .. 1 0.16667 2 2 Average exponent except 2's : 6 / 12 = 0.50000 Average absolute exponent except 2's: 26 / 12 = 2.16667 Scale is JI-epimorphic with val: <12 19 28 41 49 62 84 88 99| Scale is JI-epimorphic with val: <12 19 28 42 49 63 85 89 100| Scale is weakly epimorphic with val: <12 19 28 42 50 62 85 89 100| Scale is weakly epimorphic with val: <12 19 28 42 50 64 84 88 99|
FIT/MODE
12: 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 8.7233 c. M:-15.6413 c. Twelve-tone Chromatic (1/11-comma) 31: 2 3 3 2 3 2 3 3 2 3 2 3 SP M ME SD: 7.6460 c. M:-14.9277 c. 34: 3 3 2 3 3 3 3 3 2 4 2 3 SP D3 SD: 8.7601 c. M:-14.0923 c. 37: 3 3 3 3 3 3 4 3 2 4 3 3 SP D3 SD: 7.5746 c. M:-14.4340 c. 39: 3 3 4 3 3 3 4 3 3 4 2 4 SP D3 SD: 8.6602 c. M:-13.6863 c. 41: 3 4 3 3 4 3 4 4 2 5 2 4 SP SD: 6.8865 c. M:-14.5202 c. 43: 3 4 4 3 4 3 4 4 3 4 3 4 SP M ME SD: 5.8072 c. M:-12.2271 c. 44: 3 4 4 3 4 4 4 4 2 5 3 4 SP SD: 7.4819 c. M: 11.6314 c. 46: 4 4 3 4 4 4 4 4 3 5 3 4 SP D3 SD: 6.9837 c. M:-12.5578 c. 49: 4 4 4 4 4 4 5 4 3 5 3 5 SP D3 SD: 5.5845 c. M: 10.7177 c. 50: 4 4 4 4 5 4 4 5 3 5 3 5 SP D3 SD: 6.0863 c. M:-9.7763 c. 53: 4 5 4 4 5 4 5 5 3 6 3 5 SP SD: 4.0289 c. M:-8.9979 c. 61: 5 5 5 5 5 5 6 5 4 6 4 6 SP D3 SD: 4.6350 c. M:-7.1289 c. 65: 5 6 5 5 6 5 6 6 4 7 4 6 SP SD: 2.8111 c. M:-5.6564 c. 77: 6 7 6 6 7 6 7 7 5 8 5 7 SP SD: 2.6960 c. M:-4.5263 c. 106: 8 9 9 8 10 8 10 9 7 11 7 10 SP SD: 2.1459 c. M: 5.6183 c. 109: 8 10 9 8 10 9 10 9 7 12 7 10 SP SD: 2.6881 c. M:-4.2717 c. 114: 9 10 9 9 10 9 11 10 7 12 7 11 SP SD: 2.5295 c. M: 4.0582 c. 118: 9 10 10 9 11 9 11 10 8 12 8 11 SP SD: 1.9211 c. M: 4.8508 c. 122: 9 11 10 9 12 9 11 11 8 13 8 11 SP SD: 2.4080 c. M:-3.5943 c. 126: 10 11 10 10 11 10 12 11 8 13 8 12 SP SD: 2.3404 c. M:-4.1625 c. 128: 10 11 10 10 12 10 12 11 8 14 8 12 SP SD: 1.9637 c. M: 4.1247 c. 140: 11 12 11 11 13 11 13 12 9 15 9 13 SP SD: 1.5059 c. M: 3.3211 c. 147: 11 13 12 11 14 11 14 13 9 16 9 14 SP SD: 1.9221 c. M: 2.7261 c. 152: 12 13 12 12 14 12 14 13 10 16 10 14 SP SD: 1.4358 c. M:-2.9468 c. 159: 12 14 13 12 15 12 15 14 10 17 10 15 SP SD: 1.1665 c. M: 1.8447 c. 171: 13 15 14 13 16 13 16 15 11 18 11 16 SP SD: 0.6100 c. M: 1.5799 c. 183: 14 16 15 14 17 14 17 16 12 19 12 17 SP SD: 0.5264 c. M: 1.3498 c. 277: 21 25 22 21 26 21 26 24 18 29 18 26 SP SD: 0.7104 c. M:-1.2069 c. 289: 22 26 23 22 27 22 27 25 19 30 19 27 SP SD: 0.6037 c. M:-1.2369 c. 354: 27 31 29 27 33 27 33 31 23 37 23 33 SP SD: 0.4840 c. M: 1.4609 c. 410: 31 37 33 31 38 32 38 36 26 43 27 38 SP SD: 0.7097 c. M:-1.1536 c. 417: 32 37 33 32 39 32 39 36 27 44 27 39 SP SD: 0.6057 c. M: 1.2245 c. 419: 32 37 34 32 39 32 39 37 27 44 27 39 SP SD: 0.5149 c. M:-1.1085 c. 429: 33 38 34 33 40 33 40 37 28 45 28 40 SP SD: 0.5093 c. M: 1.0569 c. 431: 33 38 35 33 40 33 40 38 28 45 28 40 SP SD: 0.5344 c. M:-1.0241 c. 441: 34 39 35 34 41 34 41 38 29 46 29 41 SP SD: 0.5249 c. M: 1.2091 c. 448: 34 40 36 34 42 34 42 39 29 47 29 42 SP SD: 0.4817 c. M: 0.9380 c. 460: 35 41 37 35 43 35 43 40 30 48 30 43 SP SD: 0.3486 c. M: 0.6585 c. 472: 36 42 38 36 44 36 44 41 31 49 31 44 SP SD: 0.3468 c. M: 0.7191 c. 537: 41 48 43 41 50 41 50 47 35 56 35 50 SP SD: 0.3411 c. M:-0.8116 c. 612: 47 54 49 47 57 47 57 53 40 64 40 57 SP SD: 0.3077 c. M: 0.7689 c. 631: 48 56 51 48 59 48 59 55 41 66 41 59 SP SD: 0.3277 c. M: 0.6833 c. 643: 49 57 52 49 60 49 60 56 42 67 42 60 SP SD: 0.2751 c. M: 0.4881 c. 677: 52 60 54 52 63 52 63 59 44 71 44 63 SP SD: 0.2720 c. M: 0.5104 c. 708: 54 63 57 54 66 54 66 62 46 74 46 66 SP SD: 0.2470 c. M: 0.3932 c. 783: 60 69 63 60 73 60 73 68 51 82 51 73 SP SD: 0.2525 c. M: 0.5210 c. 848: 65 75 68 65 79 65 79 74 55 89 55 79 SP SD: 0.2044 c. M:-0.5073 c. 860: 66 76 69 66 80 66 80 75 56 90 56 80 SP SD: 0.2062 c. M:-0.3625 c. 1022: 78 91 82 78 95 79 95 89 66 107 67 95 SP SD: 0.2012 c. M:-0.3829 c. 1031: 79 91 83 79 96 79 96 90 67 108 67 96 SP SD: 0.1861 c. M:-0.4113 c. 1084: 83 96 87 83 101 83 101 95 70 113 71 101 SP SD: 0.1800 c. M:-0.3598 c. 1125: 86 100 90 86 105 86 105 98 73 118 73 105 SP SD: 0.2278 c. M: 0.3570 c. 1128: 86 100 91 86 105 87 105 98 73 118 74 105 SP SD: 0.2073 c. M: 0.3162 c. 1137: 87 101 91 87 106 87 106 99 74 119 74 106 SP SD: 0.1923 c. M:-0.3458 c. 1181: 90 105 95 90 110 91 110 103 76 124 77 110 SP SD: 0.1823 c. M: 0.3621 c. 1193: 91 106 96 91 111 92 111 104 77 125 78 111 SP SD: 0.1341 c. M: 0.2561 c. 1205: 92 107 97 92 112 93 112 105 78 126 79 112 SP SD: 0.1358 c. M:-0.3157 c. 1364: 104 121 110 104 127 105 127 119 88 143 89 127 SP SD: 0.1284 c. M: 0.2945 c. 1376: 105 122 111 105 128 106 128 120 89 144 90 128 SP SD: 0.1009 c. M: 0.2203 c. 1677: 128 149 135 128 156 129 156 146 109 175 110 156 SP SD: 0.1259 c. M: 0.2112 c. 1684: 129 149 136 128 157 129 157 147 109 176 110 157 SP SD: 0.1229 c. M:-0.2622 c. 1730: 132 154 139 132 161 133 161 151 112 181 113 161 SP SD: 0.1190 c. M:-0.3104 c. 1807: 138 160 146 138 168 139 168 158 117 189 118 168 SP SD: 0.1504 c. M:-0.2109 c. 1817: 139 161 146 139 169 140 169 158 118 190 119 169 SP SD: 0.1259 c. M: 0.2671 c. 1824: 139 162 147 139 170 140 170 159 118 191 119 170 SP SD: 0.1242 c. M: 0.3427 c. 1836: 140 163 148 140 171 141 171 160 119 192 120 171 SP SD: 0.0944 c. M: 0.2868 c. 1860: 142 165 150 142 173 143 173 162 121 194 122 173 SP SD: 0.1240 c. M: 0.1997 c. 1867: 143 165 151 142 174 143 174 163 121 195 122 174 SP SD: 0.1211 c. M:-0.2691 c. 1870: 143 166 150 143 174 144 174 163 121 196 122 174 SP SD: 0.1191 c. M:-0.2177 c. 1901: 145 169 153 145 177 146 177 166 123 199 124 177 SP SD: 0.0965 c. M: 0.2593 c. 1913: 146 170 154 146 178 147 178 167 124 200 125 178 SP SD: 0.0950 c. M: 0.2062 c. 2053: 157 182 165 157 191 158 191 179 133 215 134 191 SP SD: 0.0866 c. M:-0.1641 c. 2224: 170 197 179 170 207 171 207 194 144 233 145 207 SP SD: 0.0794 c. M:-0.2019 c. 2236: 171 198 180 171 208 172 208 195 145 234 146 208 SP SD: 0.0802 c. M:-0.1479 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: 0.0000 cents 3 x x x x 4 x x x 5 x x 6 S SD: 0.0000 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 10.2610 cents 5 x x 6 x x 7 x 8 x 9 x 10 S SD: 4.9198 cents 6 x x 7 x 8 x 9 x 10 x 11:12 S SD: 7.9772 cents 7 x 8 x 9 x 10 x 11:12 x 13:14 S SD: 12.3341 cents 8 x 9 x 10 x 11:12:13 x 14:15:16 S SD: 8.2727 cents 9 x 10 x 11:12:13 x 14:15:16:17:18 S SD: 8.6113 cents 10 x 11:12 x 13:14:15:16:17:18:19:20 S SD: 7.2944 cents 11 x 12:13:14:15 x 17 x 18:20:21:22 SD: 11.1400 cents 12:13 x 14:15:16:17:18:19:20 x 23:24 SD: 6.8556 cents 13:14 x 15:16:17:18:20:21:22:23:24:26 S SD: 9.3156 cents 14:15:16:17:18:19:20:21:22:23:25:26:28 SD: 7.9709 cents 15:16:17:18:19:20:21:23:24:25:27:28:30 SD: 4.8466 cents 20:21:22:24:25:27:28:30:32:33:36:38:40 SD: 4.5971 cents 22:23:25:26:28:29:31:33:35:37:39:41:44 SD: 4.4734 cents 24:25:27:28:30:32:34:36:38:40:43:45:48 SD: 3.2741 cents 32:34:36:38:40:43:45:48:51:53:57:60:64 SD: 2.0794 cents 39:41:44:46:49:52:55:59:62:65:70:73:78 SD: 2.0006 cents 42:44:47:50:53:56:59:63:67:70:75:79:84 SD: 1.9208 cents 48:51:54:57:60:64:68:72:76:80:86:90:96 SD: 1.8661 cents 49:52:55:58:61:65:69:74:78:82:88:92:98 SD: 1.8245 cents 52:55:58:62:65:69:73:78:83:87:93:98:104 SD: 1.7193 cents 54:57:61:64:68:72:76:81:86:90:97:101:108 SD: 1.6099 cents 56:59:63:66:70:75:79:84:89:93:100:105:112 SD: 1.5098 cents 57:60:64:68:71:76:80:86:91:95:102:107:114 SD: 1.4460 cents 64:67:72:76:80:85:90:96:102:107:115:120:128 SD: 1.4312 cents 66:70:74:78:83:88:93:99:105:110:118:124:132 SD: 1.4187 cents 69:73:77:82:86:92:97:104:110:115:124:129:138 SD: 1.3485 cents 72:76:81:85:90:96:101:108:115:120:129:135:144 SD: 0.9377 cents 91:96:102:108:114:121:128:137:145:152:163:171:182 SD: 0.8775 cents 96:101:108:114:120:128:135:144:153:160:172:180:192 SD: 0.6293 cents 108:114:121:128:135:144:152:162:172:180:194:203:216 SD: 0.5523 cents 150:158:168:178:188:200:211:225:239:250:269:281:300 SD: 0.4923 cents 168:177:188:199:210:224:236:252:268:280:301:315:336 SD: 0.3974 cents 200:211:224:237:250:267:281:300:319:333:358:375:400 SD: 0.3859 cents 204:215:229:242:255:272:287:306:325:340:366:383:408 SD: 0.3339 cents 216:228:242:256:270:288:304:324:344:360:387:405:432 SD: 0.2426 cents 312:329:350:370:390:416:439:468:497:520:559:585:624 SD: 0.1300 cents 480:506:538:569:600:640:675:720:765:800:860:900:960 SD: 0.0744 cents