Talk:159edo: Difference between revisions

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:::::: I can't say anything about that. Considering the precision of 3.7 cents with which any interval is hit in 159edo and the generally accepted detuning degree of 13.7 cents of the major third in 12edo, considerations regarding consistency seem rather remote to me. --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 20:47, 17 January 2021 (UTC)

::::::: Actually, if you think about it, the generally accepted detuning of the major third in [[12edo]] still follows the same rules that I'm laying down, as the Syntonic comma ([[81/80]]), which is responsible for that detuning, is smaller than half a step in 12edo, and it's still smaller than half a step in [[24edo]]- the [[Pythagorean comma]] is also less than half of a step in 24edo. Thus, the 3-prime and the 5-prime can both be regarded as having "complete consistency" in 24edo as well as in 12edo. However, when you start looking at [[36edo]], [[48edo]] and [[72edo]], suddenly, things don't turn out as good on this front as the relative error percentage in these EDOs, especially for the Pythagorean comma, exceeds 50%. This is why I moved on from the larger 12-based EDOs and was finally open to detwelvulating. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 21:41, 17 January 2021 (UTC)

::::::: Actually, if you think about it, the generally accepted detuning of the major third in [[12edo]] still follows the same rules that I'm laying down, as the Syntonic comma ([[81/80]]), which is responsible for that detuning, is smaller than half a step in 12edo, and it's still smaller than half a step in [[24edo]]- the [[Pythagorean comma]] is also less than half of a step in 24edo. Thus, the 3-prime and the 5-prime can both be regarded as having "complete consistency" in 24edo as well as in 12edo. However, when you start looking at [[36edo]], [[48edo]] and [[72edo]], suddenly, things don't turn out as good on this front, as the relative error percentage in these EDOs- especially for the Pythagorean comma- exceeds 50%. This is why I moved on from the larger 12-based EDOs and was finally open to detwelvulating. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 21:41, 17 January 2021 (UTC)

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	:::::: I can't say anything about that. Considering the precision of 3.7 cents with which any interval is hit in 159edo and the generally accepted detuning degree of 13.7 cents of the major third in 12edo, considerations regarding consistency seem rather remote to me. --[[User:Xenwolf\|Xenwolf]] ([[User talk:Xenwolf\|talk]]) 20:47, 17 January 2021 (UTC)		:::::: I can't say anything about that. Considering the precision of 3.7 cents with which any interval is hit in 159edo and the generally accepted detuning degree of 13.7 cents of the major third in 12edo, considerations regarding consistency seem rather remote to me. --[[User:Xenwolf\|Xenwolf]] ([[User talk:Xenwolf\|talk]]) 20:47, 17 January 2021 (UTC)

	::::::: Actually, if you think about it, the generally accepted detuning of the major third in [[12edo]] still follows the same rules that I'm laying down, as the Syntonic comma ([[81/80]]), which is responsible for that detuning, is smaller than half a step in 12edo, and it's still smaller than half a step in [[24edo]]- the [[Pythagorean comma]] is also less than half of a step in 24edo. Thus, the 3-prime and the 5-prime can both be regarded as having "complete consistency" in 24edo as well as in 12edo. However, when you start looking at [[36edo]], [[48edo]] and [[72edo]], suddenly, things don't turn out as good on this front as the relative error percentage in these EDOs, especially for the Pythagorean comma, exceeds 50%. This is why I moved on from the larger 12-based EDOs and was finally open to detwelvulating. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 21:41, 17 January 2021 (UTC)		::::::: Actually, if you think about it, the generally accepted detuning of the major third in [[12edo]] still follows the same rules that I'm laying down, as the Syntonic comma ([[81/80]]), which is responsible for that detuning, is smaller than half a step in 12edo, and it's still smaller than half a step in [[24edo]]- the [[Pythagorean comma]] is also less than half of a step in 24edo. Thus, the 3-prime and the 5-prime can both be regarded as having "complete consistency" in 24edo as well as in 12edo. However, when you start looking at [[36edo]], [[48edo]] and [[72edo]], suddenly, things don't turn out as good on this front, as the relative error percentage in these EDOs- especially for the Pythagorean comma- exceeds 50%. This is why I moved on from the larger 12-based EDOs and was finally open to detwelvulating. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 21:41, 17 January 2021 (UTC)