List of superparticular intervals/43-limit: Difference between revisions
Jump to navigation
Jump to search
mNo edit summary |
→43-limit (incomplete): add one |
||
| Line 380: | Line 380: | ||
| | | | ||
| | | | ||
|- | |||
| 3418801/3418800 | |||
| 0.00050639 | |||
| (43<sup>4</sup>)/(2<sup>4</sup>×3×5<sup>2</sup>×7×11×37) | |||
| 2.3.5.7.11.37.43 {{monzo| -4 -1 -2 -1 -1 -1 4 }} | |||
| | |||
| S1849 | |||
|} | |} | ||
Latest revision as of 17:49, 26 February 2026
43-limit (incomplete)
| Ratio | Cents | Factorization | Monzo | Name(s) | Meta[1] |
|---|---|---|---|---|---|
| 43/42 | 40.737 | 43/(2×3×7) | 2.3.7.43 [-1 -1 -1 1⟩ | Large quadracesimotertial 1/5-tone | |
| 44/43 | 39.800 | (22×11)/43 | 2.11.43 [2 1 -1⟩ | Small quadracesimotertial 1/5-tone | |
| 86/85 | 20.249 | (2×43)/(5×17) | 2.5.17.43 [1 -1 -1 1⟩ | Large quadracesimotertial 1/10-tone | |
| 87/86 | 20.014 | (3×29)/(2×43) | 2.3.29.43 [-1 1 1 -1⟩ | Small quadracesimotertial 1/10-tone | |
| 129/128 | 13.473 | (3×43)/27 | 2.3.43 [-7 1 1⟩ | 43rd-partial chroma | |
| 130/129 | 13.369 | (2×5×13)/(3×43) | 2.3.5.13.43 [1 -1 1 1 -1⟩ | ||
| 172/171 | 10.095 | (22×43)/(32×19) | 2.3.19.43 [2 -2 -1 1⟩ | ||
| 216/215 | 8.0336 | (2×3)3/(5×43) | 2.3.5.43 [3 3 -1 -1⟩ | ||
| 259/258 | 6.6972 | (7×37)/(2×3×43) | 2.3.7.37.43 [-1 -1 1 1 -1⟩ | ||
| 301/300 | 5.7612 | (7×43)/((2×5)2×3) | 2.3.5.7.43 [-2 -1 -2 1 1⟩ | ||
| 344/343 | 5.0400 | (23×43)/73 | 2.7.43 [3 -3 1⟩ | ||
| 345/344 | 5.0254 | (3×5×23)/(23×43) | 2.3.5.23.43 [-3 1 1 1 -1⟩ | ||
| 430/429 | 4.0308 | (2×5×43)/(3×11×13) | 2.3.5.11.13.43 [1 -1 1 -1 -1 1⟩ | ||
| 559/558 | 3.0998 | (13×43)/(2×32×31) | 2.3.13.31.43 [-1 -2 1 -1 1⟩ | ||
| 560/559 | 3.0943 | (24×5×7)/(13×43) | 2.5.7.13.43 [4 1 1 -1 -1⟩ | ||
| 645/644 | 2.6862 | (3×5×43)/(22×7×23) | 2.3.5.7.23.43 [-2 1 1 -1 -1 1⟩ | ||
| 646/645 | 2.6820 | (2×17×19)/(3×5×43) | 2.3.5.17.19.43 [1 -1 -1 1 1 -1⟩ | Kastalisma | |
| 775/774 | 2.2353 | (52×31)/(2×32×43) | 2.3.5.31.43 [-1 -2 2 1 -1⟩ | ||
| 817/816 | 2.1203 | (19×43)/(24×3×17) | 2.3.17.19.43 [-4 -1 -1 1 1⟩ | ||
| 861/860 | 2.0119 | (3×7×41)/(22×5×43) | 2.3.5.7.41.43 [-2 1 -1 1 1 -1⟩ | ||
| 903/902 | 1.9183 | (3×7×43)/(2×11×41) | 2.3.7.11.41.43 [-1 1 1 -1 -1 1⟩ | ||
| 946/945 | 1.8310 | (2×11×43)/(33×5×7) | 2.3.5.7.11.43 [1 -3 -1 -1 1 1⟩ | ||
| 989/988 | 1.7514 | (23×43)/(22×13×19) | 2.13.19.23.43 [-2 -1 -1 1 1⟩ | ||
| 990/989 | 1.7496 | (2×32×5×11)/(23×43) | 2.3.5.11.23.43 [1 2 1 1 -1 -1⟩ | Yerkesisma | |
| 1161/1160 | 1.4918 | (33×43)/(23×5×29) | 2.3.5.29.43 [-3 3 -1 -1 1⟩ | ||
| 1248/1247 | 1.3878 | (25×3×13)/(29×43) | 2.3.13.29.43 [5 1 1 -1 -1⟩ | ||
| 1333/1332 | 1.2992 | (31×43)/((2×3)2×37) | 2.3.31.37.43 [-2 -2 1 -1 1⟩ | Cevenolisma | |
| 1334/1333 | 1.2983 | (2×23×29)/(31×43) | 2.23.29.31.43 [1 1 1 -1 -1⟩ | ||
| 1376/1375 | 1.2586 | (25×43)/(53×11) | 2.5.11.43 [5 -3 -1 1⟩ | ||
| 1377/1376 | 1.2577 | (34×17)/(25×43) | 2.3.17.43 [-5 4 1 -1⟩ | Roberbauxisma | |
| 1463/1462 | 1.1838 | (7×11×19)/(2×17×43) | 2.7.11.17.19.43 [-1 1 1 -1 1 -1⟩ | Nordenmarkisma | |
| 1548/1547 | 1.1187 | (22×32×43)/(7×13×17) | 2.3.7.13.17.43 [2 2 -1 -1 -1 1⟩ | ||
| 1764/1763 | 0.98170 | (2×3×7)2/(41×43) | 2.3.7.41.43 [2 2 2 -1 -1⟩ | S42 | |
| 1806/1805 | 0.95887 | (2×3×7×43)/(5×192) | 2.3.5.7.19.43 [1 1 -1 1 -2 1⟩ | ||
| 1849/1848 | 0.93656 | 432/(23×3×7×11) | 2.3.7.11.43 [-3 -1 -1 -1 2⟩ | S43 | |
| 1850/1849 | 0.93606 | (2×52×37)/432 | 2.5.37.43 [1 2 1 -2⟩ | ||
| 1936/1935 | 0.89446 | (22×11)2/(32×5×43) | 2.3.5.11.43 [4 -2 -1 2 -1⟩ | S44 | |
| 2925/2924 | 0.59198 | (32×52×13)/(22×17×43) | 2.3.5.13.17.43 [-2 2 2 1 -1 -1⟩ | Beattisma | |
| 3312/3311 | 0.52279 | (24×32×23)/(7×11×43) | 2.3.7.11.23.43 [4 2 -1 -1 1 -1⟩ | Pedersenisma | |
| 4000/3999 | 0.43286 | (25×53)/(3×31×43) | 2.3.5.31.43 [5 -1 3 -1 -1⟩ | Hipparchusisma | |
| 4301/4300 | 0.40257 | (11×17×23)/(22×52×43) | 2.5.11.17.23.43 [-2 -2 1 1 1 -1⟩ | Boydenisma | |
| 4774/4773 | 0.36268 | (2×7×11×31)/(3×37×43) | 2.3.7.11.31.37.43 [1 -1 1 1 1 -1 -1⟩ | Hobetsisma | |
| 5720/5719 | 0.30269 | (23×5×11×13)/(7×19×43) | 2.5.7.11.13.19.43 [3 1 -1 1 1 -1 -1⟩ | Halweaverisma | |
| 7225/7224 | 0.23963 | (5×17)2/(23×3×7×43) | 2.3.5.7.17.43 [-3 -1 2 -1 2 -1⟩ | Huntressisma | S85 |
| 7956/7955 | 0.21761 | (22×32×13×17)/(5×37×43) | 2.3.5.13.17.37.43 [2 2 -1 1 1 -1 -1⟩ | Yajinisma | |
| 9504/9503 | 0.18217 | (25×33×11)/(13×17×43) | 2.3.11.13.17.43 [5 3 1 -1 -1 -1⟩ | Lionelisma | |
| 9633/9632 | 0.17973 | (3×132×19)/(25×7×43) | 2.3.7.13.19.43 [-5 1 -1 2 1 -1⟩ | Coturisma | |
| 10450/10449 | 0.16568 | (2×52×11×19)/(35×43) | 2.3.5.11.19.43 [1 -5 2 1 1 -1⟩ | Girardisma | |
| 10880/10879 | 0.15912 | (27×5×17)/(11×23×43) | 2.5.11.17.23.43 [7 1 -1 1 -1 -1⟩ | Kaguyisma | |
| 17545/17544 | 0.098677 | (5×112×29)/(23×3×17×43) | 2.3.5.11.17.29.43 [-3 -1 1 2 -1 1 -1⟩ | Manheimisma | |
| 27048/27047 | 0.064007 | (23×3×72×23)/(17×37×43) | 2.3.7.17.23.37.43 [3 1 2 -1 1 -1 -1⟩ | Jangongisma | |
| 29241/29240 | 0.059207 | (32×19)2/(23×5×17×43) | 2.3.5.17.19.43 [-3 4 -1 -1 2 -1⟩ | Locquirecisma | S171 |
| 512001/512000 | 0.0033813 | (35×72×43)/(212×53) | 2.3.5.7.43 [-12 5 -3 2 1⟩ | ||
| 3418801/3418800 | 0.00050639 | (434)/(24×3×52×7×11×37) | 2.3.5.7.11.37.43 [-4 -1 -2 -1 -1 -1 4⟩ | S1849 |
Notes
- ↑ Denoted by S-expressions, where sk is defined as (k/(k - 1))/((k + 1)/k). See square superparticular for details.