Talk:159edo: Difference between revisions

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::::: Now this is fascinating... According to my calculations, subtracting the [[symbiosma]] from [[7/4]] results in an interval with the prime factorization of (3^9)/(2^10*11), so it looks like the symbiosma bridges the 7-prime and a combination of 3 and 11. Perhaps I should fix my definition of "complete consistency" by adding the following condition- if one is able to go from the unison through a set of nodes in one p-limit to connect with an interval made purely from a combination of two other primes, complete consistency is only achieved when the highest prime directly involved in the combination in question connects to the lowest prime in that same combination without breaching the 50% relative error marker once octave equivalence is accounted for. This would mean that in 159edo, the connection between the 7-prime on one hand and a combination of 11 and 3 on the other can only be regarded as "complete consistency" because the 11-prime connects to the 3-prime without breaching the 50% relative error marker on account of the nexus comma being tempered out. I still need to work out the details regarding more complicated combinations, but other than that, do you have any thoughts on this idea, Xenwolf? --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 20:20, 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)

Revision as of 20:46, 17 January 2021 view source Xenwolf (talk \| contribs) autopatrolled, Bureaucrats, confirmaccount-notify, Interface administrators, Sysops 8,705 edits added first heading and TOC ← Older edit		Revision as of 20:47, 17 January 2021 view source Xenwolf (talk \| contribs) autopatrolled, Bureaucrats, confirmaccount-notify, Interface administrators, Sysops 8,705 edits →Reverting factually wrong additions: re Newer edit →
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	::::: Now this is fascinating... According to my calculations, subtracting the [[symbiosma]] from [[7/4]] results in an interval with the prime factorization of (3^9)/(2^10*11), so it looks like the symbiosma bridges the 7-prime and a combination of 3 and 11. Perhaps I should fix my definition of "complete consistency" by adding the following condition- if one is able to go from the unison through a set of nodes in one p-limit to connect with an interval made purely from a combination of two other primes, complete consistency is only achieved when the highest prime directly involved in the combination in question connects to the lowest prime in that same combination without breaching the 50% relative error marker once octave equivalence is accounted for. This would mean that in 159edo, the connection between the 7-prime on one hand and a combination of 11 and 3 on the other can only be regarded as "complete consistency" because the 11-prime connects to the 3-prime without breaching the 50% relative error marker on account of the nexus comma being tempered out. I still need to work out the details regarding more complicated combinations, but other than that, do you have any thoughts on this idea, Xenwolf? --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 20:20, 17 January 2021 (UTC)		::::: Now this is fascinating... According to my calculations, subtracting the [[symbiosma]] from [[7/4]] results in an interval with the prime factorization of (3^9)/(2^10*11), so it looks like the symbiosma bridges the 7-prime and a combination of 3 and 11. Perhaps I should fix my definition of "complete consistency" by adding the following condition- if one is able to go from the unison through a set of nodes in one p-limit to connect with an interval made purely from a combination of two other primes, complete consistency is only achieved when the highest prime directly involved in the combination in question connects to the lowest prime in that same combination without breaching the 50% relative error marker once octave equivalence is accounted for. This would mean that in 159edo, the connection between the 7-prime on one hand and a combination of 11 and 3 on the other can only be regarded as "complete consistency" because the 11-prime connects to the 3-prime without breaching the 50% relative error marker on account of the nexus comma being tempered out. I still need to work out the details regarding more complicated combinations, but other than that, do you have any thoughts on this idea, Xenwolf? --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 20:20, 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)