User talk:FloraC: Difference between revisions

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:::: Ah, this makes more sense for 5-to-3 telicity. Sorry about that, looks like 31edo does demonstrate 5-to-3 telicity after all, my mistake. It may be true that commas that are less than half a step in size are ubiquitous, but I've also noticed in my explorations that sometimes commas of this sort fail to be tempered out. Truth be told, the reason I'm tying to limit my idea of telic commas to commas that are less than half an EDO-step in size is because any instance of telicity involving the 2-prime cannot afford to temper out commas greater than half an EDO-step in size due to the unison being such a foundational interval to both EDOs and JI, and, the resultant inability to temper out commas greater than half a step in size without exceeding the 50% relative error threshold. Thus, I'm trying to impose a uniform standard for this across the board just to make it easier. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 08:17, 19 January 2021 (UTC)

To state the definition of telicity 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. Does this make more sense?

== Discord ==

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: It's not an invite link. You should get the invite link so that I can join. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 06:47, 22 January 2021 (UTC)

:: Right. I'll get to that in a bit.

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 :::: Ah, this makes more sense for 5-to-3 telicity.  Sorry about that, looks like 31edo does demonstrate 5-to-3 telicity after all, my mistake.  It may be true that commas that are less than half a step in size are ubiquitous, but I've also noticed in my explorations that sometimes commas of this sort fail to be tempered out.  Truth be told, the reason I'm tying to limit my idea of telic commas to commas that are less than half an EDO-step in size is because any instance of telicity involving the 2-prime cannot afford to temper out commas greater than half an EDO-step in size due to the unison being such a foundational interval to both EDOs and JI, and, the resultant inability to temper out commas greater than half a step in size without exceeding the 50% relative error threshold.  Thus, I'm trying to impose a uniform standard for this across the board just to make it easier. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 08:17, 19 January 2021 (UTC)
+To state the definition of telicity 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.  Does this make more sense?
 == Discord ==
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 : It's not an invite link. You should get the invite link so that I can join. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 06:47, 22 January 2021 (UTC)
+:: Right.  I'll get to that in a bit.