53edo: Difference between revisions
→Theory: holdrian comma is a comma in the sense of small interval. Add 212edo, 901edo an mercator family to the multiples list (thereby discarding 17-odd-limit as a threshold) |
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53edo has also found a certain dissemination as an edo tuning for [[Arabic, Turkish, Persian]] music. | 53edo has also found a certain dissemination as an edo tuning for [[Arabic, Turkish, Persian]] music. | ||
53edo's step size is sometimes called the "Holdrian comma", despite not | 53edo's step size is sometimes called the "Holdrian comma", despite not being a rational one. | ||
=== Prime harmonics === | === Prime harmonics === | ||
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53edo is the 16th [[prime edo]], following [[47edo]] and coming before [[59edo]]. | 53edo is the 16th [[prime edo]], following [[47edo]] and coming before [[59edo]]. | ||
Many of its multiples such as [[159edo]], [[212edo]], [[742edo]], [[901edo]] and [[954edo]] have good consistency limit and are each of their own interest. The [[mercator family]] comprises rank-2 temperaments with 1/53-octave periods. | |||
== Intervals == | == Intervals == | ||