Talk:159edo: Difference between revisions

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::::: 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 without accumulating 50% relative error or more to achieve a form of "complete consistency", 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 to combinations of multiple prime dimensions, I find these to be largely of secondary importance, but to be fair, they are subject to the same constraints- they must be able to connect to a p-limit lower than the lowest p-limit that is directly involved in the combination in question. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 21:36, 7 January 2021 (UTC)

::::: As to combinations of multiple prime dimensions, I find these to be largely of secondary importance, but to be fair, they are subject to the same constraints- they must be able to connect to a p-limit lower than the lowest p-limit that is directly involved in the combination in question. For example, stacks of 14/13 trienthirds connect with the 5-prime by means of tempering out the cantonisma. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 21:51, 7 January 2021 (UTC)

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	::::: 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 without accumulating 50% relative error or more to achieve a form of "complete consistency", 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 without accumulating 50% relative error or more to achieve a form of "complete consistency", 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 to combinations of multiple prime dimensions, I find these to be largely of secondary importance, but to be fair, they are subject to the same constraints- they must be able to connect to a p-limit lower than the lowest p-limit that is directly involved in the combination in question. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 21:36, 7 January 2021 (UTC)		::::: As to combinations of multiple prime dimensions, I find these to be largely of secondary importance, but to be fair, they are subject to the same constraints- they must be able to connect to a p-limit lower than the lowest p-limit that is directly involved in the combination in question. For example, stacks of 14/13 trienthirds connect with the 5-prime by means of tempering out the cantonisma. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 21:51, 7 January 2021 (UTC)