User:Overthink/The 7-limit in 53edo
In 53edo, the 7-limit is well-approximated, and especially the 5- and 3-limits. On this page, we will analyze the approximations and structures of 53edo in the 7-limit.
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0.000 | 1/1 |
| 1 | 22.642 | 1/1 |
| 2 | 45.283 | 1/1 |
| 3 | 67.925 | 1/1 |
| 4 | 90.566 | 1/1 |
| 5 | 113.208 | 1/1 |
| 6 | 135.849 | 1/1 |
| 7 | 158.491 | 1/1 |
| 8 | 181.132 | 1/1 |
| 9 | 203.774 | 1/1 |
| 10 | 226.415 | 1/1 |
| 11 | 249.057 | 1/1 |
| 12 | 271.698 | 1/1 |
| 13 | 294.340 | 1/1 |
| 14 | 316.981 | 1/1 |
| 15 | 339.623 | 1/1 |
| 16 | 362.264 | 1/1 |
| 17 | 384.906 | 1/1 |
| 18 | 407.547 | 1/1 |
| 19 | 430.189 | 1/1 |
| 20 | 452.830 | 1/1 |
| 21 | 475.472 | 1/1 |
| 22 | 498.113 | 4/3 |
| 23 | 520.755 | 1/1 |
| 24 | 543.396 | 1/1 |
| 25 | 566.038 | 1/1 |
| 26 | 588.679 | 1/1 |
| 27 | 611.321 | 1/1 |
| 28 | 633.962 | 1/1 |
| 29 | 656.604 | 1/1 |
| 30 | 679.245 | 1/1 |
| 31 | 701.887 | 3/2 |
| 32 | 724.528 | 1/1 |
| 33 | 747.170 | 1/1 |
| 34 | 769.811 | 1/1 |
| 35 | 792.453 | 1/1 |
| 36 | 815.094 | 1/1 |
| 37 | 837.736 | 1/1 |
| 38 | 860.377 | 1/1 |
| 39 | 883.019 | 1/1 |
| 40 | 905.660 | 1/1 |
| 41 | 928.302 | 1/1 |
| 42 | 950.943 | 1/1 |
| 43 | 973.585 | 1/1 |
| 44 | 996.226 | 1/1 |
| 45 | 1018.868 | 1/1 |
| 46 | 1041.509 | 1/1 |
| 47 | 1064.151 | 1/1 |
| 48 | 1086.792 | 1/1 |
| 49 | 1109.434 | 1/1 |
| 50 | 1132.075 | 1/1 |
| 51 | 1154.717 | 1/1 |
| 52 | 1177.358 | 1/1 |
| 53 | 1200.000 | 2/1 |