User talk:Godtone: Difference between revisions

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:: Stated more mathematically, where "N" is the number of steps in a given EDO, "r" is the ratio of an interval in one of the two prime chains, and "M" is the monzo of "r", the equation {N, round(log2(3)*N), round(log2(5)*N), round(log2(7)*N), round(log2(11)*N), ...}.{M} = round(log2(r)*N) ''must'' hold true along ''both'' prime chains up to and including the point of connection.

:: Just looking at 3-to-2 telicity, which, by definition, involves a circle of fifths as the 2-prime is the only available telos for the 3 prime chain, the first seven EDOs that pass the test for this telicity are 2, 5, 12, 24, 53, 106, and 159. 80edo, despite being almost half of 159edo, fails the test, which is why I'm not interested in it, the same is true of both 29edo and 87edo. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 15:34, 22 January 2021 (UTC)

:: Just looking at 3-to-2 telicity, which, by definition, involves a circle of fifths as the 2-prime is the only available telos for the 3 prime chain, the first seven EDOs that pass the test for this telicity are 2, 5, 12, 24, 53, 106, and 159. 80edo, despite being almost half of 159edo, fails the test, which is why I'm not interested in it, the same is true of both 29edo and 87edo. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 21:30, 22 January 2021 (UTC)

Revision as of 21:29, 22 January 2021 view source Aura (talk \| contribs) autopatrolled, emailconfirmed 6,010 edits No edit summary ← Older edit		Revision as of 21:30, 22 January 2021 view source Aura (talk \| contribs) autopatrolled, emailconfirmed 6,010 edits resigning my comment again since I altered it significantly Newer edit →
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	:: Stated more mathematically, where "N" is the number of steps in a given EDO, "r" is the ratio of an interval in one of the two prime chains, and "M" is the monzo of "r", the equation {N, round(log2(3)N), round(log2(5)N), round(log2(7)N), round(log2(11)N), ...}.{M} = round(log2(r)*N) ''must'' hold true along ''both'' prime chains up to and including the point of connection.		:: Stated more mathematically, where "N" is the number of steps in a given EDO, "r" is the ratio of an interval in one of the two prime chains, and "M" is the monzo of "r", the equation {N, round(log2(3)N), round(log2(5)N), round(log2(7)N), round(log2(11)N), ...}.{M} = round(log2(r)*N) ''must'' hold true along ''both'' prime chains up to and including the point of connection.

	:: Just looking at 3-to-2 telicity, which, by definition, involves a circle of fifths as the 2-prime is the only available telos for the 3 prime chain, the first seven EDOs that pass the test for this telicity are 2, 5, 12, 24, 53, 106, and 159. 80edo, despite being almost half of 159edo, fails the test, which is why I'm not interested in it, the same is true of both 29edo and 87edo. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 15:34, 22 January 2021 (UTC)		:: Just looking at 3-to-2 telicity, which, by definition, involves a circle of fifths as the 2-prime is the only available telos for the 3 prime chain, the first seven EDOs that pass the test for this telicity are 2, 5, 12, 24, 53, 106, and 159. 80edo, despite being almost half of 159edo, fails the test, which is why I'm not interested in it, the same is true of both 29edo and 87edo. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 21:30, 22 January 2021 (UTC)