List of superparticular intervals/53-limit
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53-limit (incomplete)
| Ratio | Cents | Factorization | Monzo | Name(s) | Meta[1] |
|---|---|---|---|---|---|
| 53/52 | 32.977 | 53/(22×13) | 2.13.53 [-2 -1 1⟩ | ||
| 54/53 | 32.360 | (2×33)/53 | 2.3.53 [1 3 -1⟩ | ||
| 106/105 | 16.410 | (2×53)/(3×5×7) | 2.3.5.7.53 [1 -1 -1 -1 1⟩ | ||
| 160/159 | 10.854 | (25×5)/(3×53) | 2.3.5.53 [5 -1 1 -1⟩ | ||
| 265/264 | 6.5453 | (5×53)/(23×3×11) | 2.3.5.11.53 [-3 -1 1 -1 1⟩ | ||
| 266/265 | 6.5207 | (2×7×19)/(5×53) | 2.5.7.19.53 [1 -1 1 1 -1⟩ | ||
| 319/318 | 5.4356 | (11×29)/(2×3×53) | 2.3.11.29.53 [-1 -1 1 1 -1⟩ | ||
| 371/370 | 4.6727 | (7×53)/(2×5×37) | 2.5.7.37.53 [-1 -1 1 -1 1⟩ | ||
| 372/371 | 4.6601 | (22×3×31)/(7×53) | 2.3.7.31.53 [2 1 -1 1 -1⟩ | ||
| 424/423 | 4.0879 | (23×53)/(32×47) | 2.3.47.53 [3 -2 -1 1⟩ | ||
| 425/424 | 4.0783 | (52×17)/(23×53) | 2.5.17.53 [-3 2 1 -1⟩ | ||
| 477/476 | 3.6332 | (32×53)/(22×7×17) | 2.3.7.17.53 [-2 2 -1 -1 1⟩ | ||
| 2809/2808 | 0.61643 | 532/(23×33×13) | 2.3.13.53 [-3 -3 -1 2⟩ | S53 | |
| 4081/4080 | 0.42427 | (7×11×53)/(24×3×5×17) | 2.3.5.7.11.17.53 [-4 -1 -1 1 1 -1 1⟩ |
Notes
- ↑ Denoted by S-expressions, where sk is defined as (k/(k - 1))/((k + 1)/k). See square superparticular for details.