87edo/13-limit detempering
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< 87edo
In this table, "Difference in Cents" indicates whether the 87-edo interval is flat (negative) or sharp (positive) of the detempered interval. For example, 15 steps, at 206.90 cents, corresponds to 9/8 and is about 3 cents sharp.
| # | Cents | Detempered Interval |
Difference in Cents |
|---|---|---|---|
| 0 | 0.00 | 1/1 | 0.00 |
| 1 | 13.79 | 91/90 | -5.34 |
| 2 | 27.59 | 49/48 | -8.11 |
| 3 | 41.38 | 40/39 | -2.45 |
| 4 | 55.17 | 28/27 | -7.79 |
| 5 | 68.97 | 25/24 | -1.71 |
| 6 | 82.76 | 21/20 | -1.71 |
| 7 | 96.55 | 35/33 | -5.31 |
| 8 | 110.34 | 16/15 | -1.39 |
| 9 | 124.14 | 14/13 | -4.16 |
| 10 | 137.93 | 13/12 | -0.64 |
| 11 | 151.72 | 12/11 | +1.09 |
| 12 | 165.52 | 11/10 | +0.51 |
| 13 | 179.31 | 10/9 | -3.09 |
| 14 | 193.10 | 28/25 | -3.10 |
| 15 | 206.90 | 9/8 | +2.99 |
| 16 | 220.69 | 25/22 | -0.62 |
| 17 | 234.48 | 8/7 | +3.31 |
| 18 | 248.28 | 15/13 | +0.53 |
| 19 | 262.07 | 7/6 | -4.80 |
| 20 | 275.86 | 75/64 | +1.28 |
| 21 | 289.66 | 13/11 | +0.45 |
| 22 | 303.45 | 25/21 | +1.60 |
| 23 | 317.24 | 6/5 | +1.60 |
| 24 | 331.03 | 40/33 | -2.01 |
| 25 | 344.83 | 11/9 | -2.58 |
| 26 | 358.62 | 16/13 | -0.85 |
| 27 | 372.41 | 26/21 | +2.67 |
| 28 | 386.21 | 5/4 | -0.11 |
| 29 | 400.00 | 44/35 | +3.82 |
| 30 | 413.79 | 14/11 | -3.71 |
| 31 | 427.59 | 32/25 | +0.21 |
| 32 | 441.38 | 9/7 | +6.30 |
| 33 | 455.17 | 13/10 | +0.96 |
| 34 | 468.97 | 21/16 | -1.82 |
| 35 | 482.76 | 33/25 | +2.11 |
| 36 | 496.55 | 4/3 | -1.49 |
| 37 | 510.34 | 35/26 | -4.27 |
| 38 | 524.14 | 27/20 | +4.59 |
| 39 | 537.93 | 15/11 | +0.98 |
| 40 | 551.72 | 11/8 | +0.41 |
| 41 | 565.52 | 18/13 | +2.13 |
| 42 | 579.31 | 7/5 | -3.20 |
| 43 | 593.10 | 45/32 | +2.88 |
| 44 | 606.90 | 64/45 | -2.88 |
| 45 | 620.69 | 10/7 | +3.20 |
| 46 | 634.48 | 13/9 | -2.13 |
| 47 | 648.28 | 16/11 | -0.41 |
| 48 | 662.07 | 22/15 | -0.98 |
| 49 | 675.86 | 40/27 | -4.59 |
| 50 | 689.66 | 52/35 | +4.27 |
| 51 | 703.45 | 3/2 | +1.49 |
| 52 | 717.24 | 50/33 | -2.11 |
| 53 | 731.03 | 32/21 | +1.82 |
| 54 | 744.83 | 20/13 | -0.96 |
| 55 | 758.62 | 14/9 | -6.30 |
| 56 | 772.41 | 25/16 | -0.21 |
| 57 | 786.22 | 11/7 | +3.71 |
| 58 | 800.00 | 35/22 | -3.82 |
| 59 | 813.79 | 8/5 | +0.11 |
| 60 | 827.59 | 21/13 | -2.67 |
| 61 | 841.38 | 13/8 | +0.85 |
| 62 | 855.17 | 18/11 | +2.58 |
| 63 | 868.97 | 33/20 | +2.01 |
| 64 | 882.76 | 5/3 | -1.60 |
| 65 | 896.55 | 42/25 | -1.60 |
| 66 | 910.34 | 22/13 | -0.45 |
| 67 | 924.14 | 75/44 | +0.87 |
| 68 | 937.93 | 12/7 | +4.80 |
| 69 | 951.72 | 26/15 | -0.53 |
| 70 | 965.52 | 7/4 | -3.31 |
| 71 | 979.31 | 44/25 | +0.62 |
| 72 | 993.10 | 16/9 | -2.99 |
| 73 | 1006.90 | 25/14 | +3.10 |
| 74 | 1020.69 | 9/5 | +3.09 |
| 75 | 1034.48 | 20/11 | -0.51 |
| 76 | 1048.28 | 11/6 | -1.09 |
| 77 | 1062.07 | 24/13 | +0.64 |
| 78 | 1075.86 | 13/7 | +4.16 |
| 79 | 1089.66 | 15/8 | +1.39 |
| 80 | 1103.45 | 66/35 | +5.31 |
| 81 | 1117.24 | 21/11 | -2.22 |
| 82 | 1131.03 | 25/13 | -1.07 |
| 83 | 1144.83 | 27/14 | +7.79 |
| 84 | 1158.62 | 39/20 | +2.45 |
| 85 | 1172.41 | 55/28 | +3.61 |
| 86 | 1186.21 | 99/50 | +3.61 |
| 87 | 1200.00 | 2/1 | 0.00 |