540edo: Difference between revisions
Expand the theory |
Cmloegcmluin (talk | contribs) I've asked for the clutter of pages of different forms for the words defactor and enfactor to be deleted, so now pages that linked to them need to be updated to use the remaining working link |
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== Theory == | == Theory == | ||
Since 540 = 2 × 270 and 540 = 45 × 12, it contains [[270edo]] and [[12edo]] as subsets, both belonging to [[The Riemann Zeta Function and Tuning #Zeta EDO lists|the ''zeta peak edos'', ''zeta integral edos'' and ''zeta gap edos'' sequences]]. It is [[enfactored]] in the 13-limit, with the same tuning as 270edo, but it makes for a reasonable 17- and 19-limit system, and perhaps beyond. It is, however, no longer [[consistent]] in the [[15-odd-limit]], all because of [[15/13]] being 1.14 cents sharp of just. | Since 540 = 2 × 270 and 540 = 45 × 12, it contains [[270edo]] and [[12edo]] as subsets, both belonging to [[The Riemann Zeta Function and Tuning #Zeta EDO lists|the ''zeta peak edos'', ''zeta integral edos'' and ''zeta gap edos'' sequences]]. It is [[enfactoring|enfactored]] in the 13-limit, with the same tuning as 270edo, but it makes for a reasonable 17- and 19-limit system, and perhaps beyond. It is, however, no longer [[consistent]] in the [[15-odd-limit]], all because of [[15/13]] being 1.14 cents sharp of just. | ||
=== Prime harmonics === | === Prime harmonics === | ||