User talk:Inthar: Difference between revisions

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:::::: Ah. I'm also interested in how 159edo handles the 2.3.7.11 subgroup, for even though 159edo tempers out the quartisma mathematically, the fact that it also tempers out the keenanisma means that the best approximation of 49/32 is disconnected from the best approximation of 7/4. However, the best approximation of 49/32 can be reached in the 11-limit by means of 135/88, which, in JI, differs from 49/32 by 540/539- the swetisma. What do you make of this? --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 19:16, 9 September 2020 (UTC)

:Dunno. The inconsistency could result in two different approximations or flavors for 7/4 and you could use different progressions to reach them. Otherwise... I don't think it's very easy to musically use the 49th harmonic qua the 49th harmonic (not thinking of it as 7*7) in the first place, unless you do what Zhea does and think of the 49th harmonic over ~~another~~ harmonic, say 37 or 46. If there's a prime (under 49) which 159edo approximates especially well, then a subset of 159edo could be used to approximate a primodal scale... [[User:IlL|IlL]] ([[User talk:IlL|talk]]) 00:25, 10 September 2020 (UTC)

:Dunno. The inconsistency could result in two different approximations or flavors for 7/4 and you could use different progressions to reach them. Otherwise... I don't think it's very easy to musically use the 49th harmonic qua the 49th harmonic (not thinking of it as 7*7) in the first place, unless you do what Zhea does and think of the 49th harmonic over a harmonic other than a power of two, say 37 or 46. If there's a prime (under 49) which 159edo approximates especially well, then a subset of 159edo could be used to approximate a primodal scale... [[User:IlL|IlL]] ([[User talk:IlL|talk]]) 00:25, 10 September 2020 (UTC)

Revision as of 00:26, 10 September 2020 view source Inthar (talk \| contribs) autopatrolled, emailconfirmed 15,004 edits m →Quartismic EDOs ← Older edit		Revision as of 00:28, 10 September 2020 view source Inthar (talk \| contribs) autopatrolled, emailconfirmed 15,004 edits m →Quartismic EDOs Newer edit →
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	:::::: Ah. I'm also interested in how 159edo handles the 2.3.7.11 subgroup, for even though 159edo tempers out the quartisma mathematically, the fact that it also tempers out the keenanisma means that the best approximation of 49/32 is disconnected from the best approximation of 7/4. However, the best approximation of 49/32 can be reached in the 11-limit by means of 135/88, which, in JI, differs from 49/32 by 540/539- the swetisma. What do you make of this? --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 19:16, 9 September 2020 (UTC)		:::::: Ah. I'm also interested in how 159edo handles the 2.3.7.11 subgroup, for even though 159edo tempers out the quartisma mathematically, the fact that it also tempers out the keenanisma means that the best approximation of 49/32 is disconnected from the best approximation of 7/4. However, the best approximation of 49/32 can be reached in the 11-limit by means of 135/88, which, in JI, differs from 49/32 by 540/539- the swetisma. What do you make of this? --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 19:16, 9 September 2020 (UTC)

	:Dunno. The inconsistency could result in two different approximations or flavors for 7/4 and you could use different progressions to reach them. Otherwise... I don't think it's very easy to musically use the 49th harmonic qua the 49th harmonic (not thinking of it as 7*7) in the first place, unless you do what Zhea does and think of the 49th harmonic over ~~another~~ harmonic, say 37 or 46. If there's a prime (under 49) which 159edo approximates especially well, then a subset of 159edo could be used to approximate a primodal scale... [[User:IlL\|IlL]] ([[User talk:IlL\|talk]]) 00:25, 10 September 2020 (UTC)		:Dunno. The inconsistency could result in two different approximations or flavors for 7/4 and you could use different progressions to reach them. Otherwise... I don't think it's very easy to musically use the 49th harmonic qua the 49th harmonic (not thinking of it as 7*7) in the first place, unless you do what Zhea does and think of the 49th harmonic over a harmonic other than a power of two, say 37 or 46. If there's a prime (under 49) which 159edo approximates especially well, then a subset of 159edo could be used to approximate a primodal scale... [[User:IlL\|IlL]] ([[User talk:IlL\|talk]]) 00:25, 10 September 2020 (UTC)