List of superparticular intervals/43-limit

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

  1. Denoted by S-expressions, where sk is defined as (k/(k - 1))/((k + 1)/k). See square superparticular for details.