User talk:FloraC: Difference between revisions

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I hope this idea makes more sense than my initial attempts to talk about it on the [[Talk:159edo|159edo talk page]]. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 07:03, 19 January 2021 (UTC)

: For single-ring edos, every interval is on the chain of 3s. Take 31edo for example, isn't its first step of harmonic 5, 11\31, already on the circle of fifths, for the tempering of 81/80? [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 07:34, 19 January 2021 (UTC)

: For single-ring edos, every interval is on the chain of 3s. Take 31edo for example, isn't its first step of harmonic 5, 10\31, already on the circle of fifths, for the tempering of 81/80? [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 07:34, 19 January 2021 (UTC)

:: Let's see, for 31edo, 81/80 is larger than half of a step in size, so 31edo actually fails to demonstrate 5-to-3 telicity as the relative error induced by the comma is liable to be greater than 50%. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 07:38, 19 January 2021 (UTC)

:: For the sure-fire examples of telicity, the comma being tempered out has to be less than half an EDO step in size. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 07:42, 19 January 2021 (UTC)

::: Such commas are ubiquitous. What about 8 steps of 10\31 to 3/2, for the tempering of würschmidt comma? [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 08:04, 19 January 2021 (UTC)

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 I hope this idea makes more sense than my initial attempts to talk about it on the [[Talk:159edo|159edo talk page]]. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 07:03, 19 January 2021 (UTC)
-: For single-ring edos, every interval is on the chain of 3s. Take 31edo for example, isn't its first step of harmonic 5, 11\31, already on the circle of fifths, for the tempering of 81/80? [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 07:34, 19 January 2021 (UTC)
+: For single-ring edos, every interval is on the chain of 3s. Take 31edo for example, isn't its first step of harmonic 5, 10\31, already on the circle of fifths, for the tempering of 81/80? [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 07:34, 19 January 2021 (UTC)
 :: Let's see, for 31edo, 81/80 is larger than half of a step in size, so 31edo actually fails to demonstrate 5-to-3 telicity as the relative error induced by the comma is liable to be greater than 50%. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 07:38, 19 January 2021 (UTC)
 :: For the sure-fire examples of telicity, the comma being tempered out has to be less than half an EDO step in size. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 07:42, 19 January 2021 (UTC)
+::: Such commas are ubiquitous. What about 8 steps of 10\31 to 3/2, for the tempering of würschmidt comma? [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 08:04, 19 January 2021 (UTC)