SAKryukov
Joined 23 November 2020
No edit summary |
No edit summary |
||
Line 36: | Line 36: | ||
::::::::: Have you even thought about usable N-EDO systems, why N>12 are always prime numbers (I don't want to consider something like 22-EDO (which is very special) or 24-EDO (which has nothing new at all))?! It resembles the problem of remarkable [https://en.wikipedia.org/wiki/Ulam_spiral Ulam spiral], as far as I can see, it still doesn't have a theoretical explanation. Before finding any literature, I started from the algorithm for finding EDOs other than 12-EDO using different criteria of balanced approximating harmonic intervals, and immediately obtained those prime-number EDOs. I called the phenomenon "musical Ulam spiral". And I never found any publications trying to explain it. | ::::::::: Have you even thought about usable N-EDO systems, why N>12 are always prime numbers (I don't want to consider something like 22-EDO (which is very special) or 24-EDO (which has nothing new at all))?! It resembles the problem of remarkable [https://en.wikipedia.org/wiki/Ulam_spiral Ulam spiral], as far as I can see, it still doesn't have a theoretical explanation. Before finding any literature, I started from the algorithm for finding EDOs other than 12-EDO using different criteria of balanced approximating harmonic intervals, and immediately obtained those prime-number EDOs. I called the phenomenon "musical Ulam spiral". And I never found any publications trying to explain it. | ||
:::::::::: I must point out that 24edo is one of the first to approximate ''both'' the primes 3 and 11 well, which is part of why it continues to be special to me. As for the rest of what you said here, I don't know what I can add to this. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 17:19, 24 November 2020 (UTC) | |||
::: I'm going to remove my reply message from your "talk" page as redundant and replace with the notice that you have a reply on my page... | ::: I'm going to remove my reply message from your "talk" page as redundant and replace with the notice that you have a reply on my page... |