56edo: Difference between revisions
+interval table |
Note on it being a convergent to the bronze metallic mean |
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'''56edo''' divides the octave into 56 parts of 21.429 cents each. | '''56edo''' divides the octave into 56 parts of 21.429 cents each. It shares it's near perfect major third with [[28edo]], which it doubles, while also adding a superpythagorean 5th that is a convergent towards the [[Metallic_harmonic_series|bronze metallic mean]], following [[17edo]] and preceding [[185edo]]. | ||
56edo can be used to tune [[hemithirds]], [[superkleismic]], [[sycamore]] and [[keen]] temperaments, and using {{val|56 89 130 158}} (56d) as the equal temperament val, for [[pajara]]. It provides the optimal patent val for 7-, 11- and 13-limit [[Sycamore_family #Sycamore|sycamore]], and the 11-limit 56d val is close to the POTE tuning for 11-limit pajara. | 56edo can be used to tune [[hemithirds]], [[superkleismic]], [[sycamore]] and [[keen]] temperaments, and using {{val|56 89 130 158}} (56d) as the equal temperament val, for [[pajara]]. It provides the optimal patent val for 7-, 11- and 13-limit [[Sycamore_family #Sycamore|sycamore]], and the 11-limit 56d val is close to the POTE tuning for 11-limit pajara. | ||