List of superparticular intervals/53-limit

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

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