Talk:The Riemann zeta function and tuning: Difference between revisions
→Criticisms of and possible improvements to new list: offer alternate list and optimal edo sequences |
m →Alternate list based on unmodified zeta function: add minor detail |
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Take a look at [[User:Godtone/zeta]] and compare edos you're unsure about to [[User:Godtone/optimal_edo_sequences]] by looking for number of occurrences. | Take a look at [[User:Godtone/zeta]] and compare edos you're unsure about to [[User:Godtone/optimal_edo_sequences]] by looking for number of occurrences. | ||
A rather strange recurring theme is 60edo is liked by zeta a surprising amount, but looking at its low- and high-limit tuning profile it doesn't seem that remarkable to me. (A strange coincidence is some time ago I had a dream that this was a good edo. That doesn't happen often at all (dreaming about edos, let alone a specific one being good). Also happens to be significant as the simplest way to represent fourth-order ambiguities in my theory of functional harmony which I derived from first principles starting from [[Ringer scale]]s (especially Perfect Ringer scales), so that (other than the 12edo intervals) it represents the most xenmelodically nontrivial categories available (which correspond to areas of nontrivial harmony).) | A rather strange recurring theme is 60edo is liked by zeta a surprising amount, but looking at its low- and high-limit tuning profile it doesn't seem that remarkable to me. (A strange coincidence is some time ago I had a dream that this was a good edo. That doesn't happen often at all (dreaming about edos, let alone a specific one being good; the dream said its 11-limit was good; maybe that's true in the sense that the high errors of 5, 7 and 11 can easily cancel each-other out in ratios or composites, since zeta doesn't obey a val). Also happens to be significant as the simplest way to represent fourth-order ambiguities in my theory of functional harmony which I derived from first principles starting from [[Ringer scale]]s (especially Perfect Ringer scales), so that (other than the 12edo intervals) it represents the most xenmelodically nontrivial categories available (which correspond to areas of nontrivial harmony).) | ||
--[[User:Godtone|Godtone]] ([[User talk:Godtone|talk]]) 18:39, 17 April 2025 (UTC) | --[[User:Godtone|Godtone]] ([[User talk:Godtone|talk]]) 18:39, 17 April 2025 (UTC) | ||