56edo

56edo divides the octave into 56 parts of 21.429 cents each. It can be used to tune hemithirds, superkliesmic, sycamore and keen temperaments, and using <56 89 130 158| as the equal temperament val, for pajara. It provides the optimal patent val for 7-, 11- and 13-limit sycamore, and the 11-limit 56d val is close to the POTE tuning for 11-limit pajara.

Commas

5-limit commas: 2048/2025, |-5 -10 9>

7-limit commas: 686/675, 875/864, 1029/1024

11-limit commas: 100/99, 245/242, 385/384, 686/675

Some scales

supra7

supra12