List of superparticular intervals/47-limit
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47-limit (incomplete)
| Ratio | Cents | Factorization | Monzo | Name(s) | Meta[1] |
|---|---|---|---|---|---|
| 47/46 | 37.232 | 47/(2×23) | 2.23.47 [-1 -1 1⟩ | ||
| 48/47 | 36.448 | (24×3)/47 | 2.3.47 [4 1 -1⟩ | 47th-partial chroma | |
| 94/93 | 18.516 | (2×47)/(3×31) | 2.3.31.47 [1 -1 -1 1⟩ | ||
| 95/94 | 18.320 | (5×19)/(2×47) | 2.5.19.47 [-1 1 1 -1⟩ | ||
| 141/140 | 12.322 | (3×47)/(22×5×7) | 2.3.5.7.47 [-2 1 -1 -1 1⟩ | ||
| 188/187 | 9.2333 | (22×47)/(11×17) | 2.11.37.47 [2 -1 -1 1⟩ | ||
| 189/188 | 9.1843 | (33×7)/(22×47) | 2.3.7.47 [-2 3 1 -1⟩ | ||
| 235/234 | 7.3827 | (5×47)/(2×32×13) | 2.3.5.13.47 [-1 -2 1 -1 1⟩ | ||
| 329/328 | 5.2701 | (7×47)/(23×41) | 2.7.41.47 [-3 1 -1 1⟩ | ||
| 330/329 | 5.2541 | (2×3×5×11)/(7×47) | 2.3.5.7.11.47 [1 1 1 -1 1 -1⟩ | ||
| 376/375 | 4.6105 | (23×47)/(3×53) | 2.3.5.47 [3 -1 -3 1⟩ | ||
| 377/376 | 4.5982 | (13×29)/(23×47) | 2.13.29.47 [-3 1 1 -1⟩ | ||
| 1176/1175 | 1.4728 | (23×3×72)/(52×47) | 2.3.5.7.47 [3 1 -2 2 -1⟩ | Lucidorisma | |
| 2116/2115 | 0.81836 | (2×23)2/(32×5×47) | 2.3.5.23.47 [2 -2 -1 2 -1⟩ | S46 | |
| 2209/2208 | 0.78390 | 472/(25×3×5) | 2.3.23.47 [-5 -1 -1 2⟩ | S47 | |
| 2304/2303 | 0.75157 | (24×3)2/(72×47) | 2.3.7.47 [8 2 -2 -1⟩ | S48 |
Notes
- ↑ Denoted by S-expressions, where sk is defined as (k/(k - 1))/((k + 1)/k). See square superparticular for details.