List of superparticular intervals/59-limit

59-limit (incomplete)

Ratio Cents Factorization Monzo Name(s) Meta[1]
59/58 29.594 59/(2×29) 2.29.59 [-1 -1 1
60/59 29.097 (22×3×5)/59 2.3.5.59 [2 1 1 -1
118/117 14.734 (2×59)/(32×13) 2.3.13.59 [1 -2 -1 1
119/118 14.610 (7×17)/(2×59) 2.7.17.59 [-1 1 1 -1
177/176 9.8087 (3×59)/(24×11) 2.3.11.59 [-4 1 -1 1
236/235 7.3513 (22×59)/(5×47) 2.5.47.59 [2 -1 -1 1
295/294 5.8786 (5×59)/(2×3×72) 2.3.5.7.59 [-1 -1 1 -2 1
296/295 5.8587 (23×37)/(5×59) 2.5.37.59 [3 -1 1 -1
414/413 4.1868 (2×32×23)/(7×59) 2.3.7.23.59 [1 2 -1 1 -1
473/472 3.6640 (11×43)/(23×59) 2.11.43.59 [-3 1 1 -1
1121/1120 1.5451 (19×59)/(25×5×7) 2.5.7.19.59 [-5 -1 -1 1 1
1122/1121 1.5437 (2×3×11×17)/(19×59) 2.3.11.17.19.59 [1 1 1 1 -1 -1
3481/3480 0.49741 592/(23×3×5×29) 2.3.5.29.59 [-3 -1 -1 -1 2 S59
  1. Denoted by S-expressions, where sk is defined as (k/(k - 1))/((k + 1)/k). See square superparticular for details.