Talk:159edo: Difference between revisions

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:::: This kind of consistency ("complete circle of fifths") seems problematic to me: How will you generalize these rings to other prime intervals? Also, aren't you interested in combinations of multiple prime dimensions (besides 2, of course)? --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 20:22, 7 January 2021 (UTC)

::::: As I said, this kind of n-consistency means being able to go from the unison through a set of nodes in one p-limit to connect with an interval of a lower p-limit without the relative error reaching ~~above~~ the 50% marker. Since the 3-prime can only connect with the 2-prime in this fashion, that means that the 3-prime requires a complete circle of fifths, however, higher primes have more options for a form of "complete consistency". For instance, the 11-prime in 159edo connects with the 3-prime easily without breaching the 50% relative error marker by means of tempering out the nexus comma, and similarly, the 5-prime connects with the 3-prime by means of tempering out the schisma. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 21:31, 7 January 2021 (UTC)

::::: As I said, this kind of n-consistency means being able to go from the unison through a set of nodes in one p-limit to connect with an interval of a lower p-limit without the relative error reaching or exceeding the 50% marker. Since the 3-prime can only connect with the 2-prime in this fashion, that means that the 3-prime requires a complete circle of fifths, however, higher primes have more options for a form of "complete consistency". For instance, the 11-prime in 159edo connects with the 3-prime easily without breaching the 50% relative error marker by means of tempering out the nexus comma, and similarly, the 5-prime connects with the 3-prime by means of tempering out the schisma. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 21:31, 7 January 2021 (UTC)

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	:::: This kind of consistency ("complete circle of fifths") seems problematic to me: How will you generalize these rings to other prime intervals? Also, aren't you interested in combinations of multiple prime dimensions (besides 2, of course)? --[[User:Xenwolf\|Xenwolf]] ([[User talk:Xenwolf\|talk]]) 20:22, 7 January 2021 (UTC)		:::: This kind of consistency ("complete circle of fifths") seems problematic to me: How will you generalize these rings to other prime intervals? Also, aren't you interested in combinations of multiple prime dimensions (besides 2, of course)? --[[User:Xenwolf\|Xenwolf]] ([[User talk:Xenwolf\|talk]]) 20:22, 7 January 2021 (UTC)

	::::: As I said, this kind of n-consistency means being able to go from the unison through a set of nodes in one p-limit to connect with an interval of a lower p-limit without the relative error reaching ~~above~~ the 50% marker. Since the 3-prime can only connect with the 2-prime in this fashion, that means that the 3-prime requires a complete circle of fifths, however, higher primes have more options for a form of "complete consistency". For instance, the 11-prime in 159edo connects with the 3-prime easily without breaching the 50% relative error marker by means of tempering out the nexus comma, and similarly, the 5-prime connects with the 3-prime by means of tempering out the schisma. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 21:31, 7 January 2021 (UTC)		::::: As I said, this kind of n-consistency means being able to go from the unison through a set of nodes in one p-limit to connect with an interval of a lower p-limit without the relative error reaching or exceeding the 50% marker. Since the 3-prime can only connect with the 2-prime in this fashion, that means that the 3-prime requires a complete circle of fifths, however, higher primes have more options for a form of "complete consistency". For instance, the 11-prime in 159edo connects with the 3-prime easily without breaching the 50% relative error marker by means of tempering out the nexus comma, and similarly, the 5-prime connects with the 3-prime by means of tempering out the schisma. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 21:31, 7 January 2021 (UTC)