Talk:159edo: Difference between revisions

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: Now that I think about it, this section doesn't make sense. It's not about having the intervals be convincing as consonances, but having the system act similarly to JI, and intervals that are complex in terms of their ratios are often used.--[[User:Overthink|Overthink]] ([[User talk:Overthink|talk]]) 21:04, 16 October 2025 (UTC)

:: Telicity matters more for navigational and modulatory purposes than anything, and indeed, having complex 3-limit intervals act similarly to JI while the circle of fifths still closes on the octave is very useful for that reason. Also, telicity is a concept that was devised before consistent circles, and it actually affects mappings of higher primes relative to lower primes in general, so it's not just stuff along the Pythagorean chain. For instance, because three instances of ~~the~~ 11~~-prime~~ octave-reduced add up to something that's really close to a stack of four Pythagorean Chromatic Semitones, that helps make the 2.11 chain more navigable. Unfortunately, with EDOs, sometimes you're forced to pick some kinds of telicity over others for practical reasons. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 21:56, 16 October 2025 (UTC)

:: Telicity matters more for navigational and modulatory purposes than anything, and indeed, having complex 3-limit intervals act similarly to JI while the circle of fifths still closes on the octave is very useful for that reason. Also, telicity is a concept that was devised before consistent circles, and it actually affects mappings of higher primes relative to lower primes in general, so it's not just stuff along the Pythagorean chain. For instance, because three instances of 11/8 octave-reduced add up to something that's really close to a stack of four Pythagorean Chromatic Semitones, that helps make the 2.11 chain more navigable. Unfortunately, with EDOs, sometimes you're forced to pick some kinds of telicity over others for practical reasons. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 21:56, 16 October 2025 (UTC)

Revision as of 21:56, 16 October 2025 view source Aura (talk \| contribs) autopatrolled, emailconfirmed 6,010 edits →How much consistency matters ← Older edit		Revision as of 22:01, 16 October 2025 view source Aura (talk \| contribs) autopatrolled, emailconfirmed 6,010 edits No edit summary Newer edit →
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	: Now that I think about it, this section doesn't make sense. It's not about having the intervals be convincing as consonances, but having the system act similarly to JI, and intervals that are complex in terms of their ratios are often used.--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 21:04, 16 October 2025 (UTC)		: Now that I think about it, this section doesn't make sense. It's not about having the intervals be convincing as consonances, but having the system act similarly to JI, and intervals that are complex in terms of their ratios are often used.--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 21:04, 16 October 2025 (UTC)

	:: Telicity matters more for navigational and modulatory purposes than anything, and indeed, having complex 3-limit intervals act similarly to JI while the circle of fifths still closes on the octave is very useful for that reason. Also, telicity is a concept that was devised before consistent circles, and it actually affects mappings of higher primes relative to lower primes in general, so it's not just stuff along the Pythagorean chain. For instance, because three instances of ~~the~~ 11~~-prime~~ octave-reduced add up to something that's really close to a stack of four Pythagorean Chromatic Semitones, that helps make the 2.11 chain more navigable. Unfortunately, with EDOs, sometimes you're forced to pick some kinds of telicity over others for practical reasons. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 21:56, 16 October 2025 (UTC)		:: Telicity matters more for navigational and modulatory purposes than anything, and indeed, having complex 3-limit intervals act similarly to JI while the circle of fifths still closes on the octave is very useful for that reason. Also, telicity is a concept that was devised before consistent circles, and it actually affects mappings of higher primes relative to lower primes in general, so it's not just stuff along the Pythagorean chain. For instance, because three instances of 11/8 octave-reduced add up to something that's really close to a stack of four Pythagorean Chromatic Semitones, that helps make the 2.11 chain more navigable. Unfortunately, with EDOs, sometimes you're forced to pick some kinds of telicity over others for practical reasons. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 21:56, 16 October 2025 (UTC)