User talk:Inthar: Difference between revisions

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: 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)

:: To be frank, I've had a similar problem with 94edo in the 5-limit where the tempering of the marvel comma resulted in the best approximation of 25th harmonic being disconnected from the best approximation of the 5th harmonic, which, in some ways, works out worse for me in light of the fact that the ~~five~~-limit is kind of the bread and butter of most of my harmonic progressions and the 25th harmonic is useful in augmented chords. I know that one thing I'm doing as I'm mapping out the intervals of 159edo- especially now- is omitting the inconsistent intervals and their multiples, which enables me to effectively map out which portions of the harmonic lattice are actually usable in 159edo. So far, only a single instance of a 7 in the prime factorization in the numerator or denominator of any given ratio can work without putting the relative error above 50%. However, since 159edo is stated to be an excellent tuning for the guiron temperament- which is basically a 2.3.7 subgroup- even in light of the issues with the 49th harmonic, I have to wonder if that means that 159edo could also be considered a good candidate for a quartismic temperament. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 01:04, 10 September 2020 (UTC)

:: To be frank, I've had a similar problem with 94edo in the 5-limit where the tempering of the marvel comma resulted in the best approximation of 25th harmonic being disconnected from the best approximation of the 5th harmonic, which, in some ways, works out worse for me in light of the fact that the 5-limit is kind of the bread and butter of most of my harmonic progressions and the 25th harmonic is useful in augmented chords. I know that one thing I'm doing as I'm mapping out the intervals of 159edo- especially now- is omitting the inconsistent intervals and their multiples, which enables me to effectively map out which portions of the harmonic lattice are actually usable in 159edo. So far, only a single instance of a 7 in the prime factorization in the numerator or denominator of any given ratio can work without putting the relative error above 50%. However, since 159edo is stated to be an excellent tuning for the guiron temperament- which is basically a 2.3.7 subgroup- even in light of the issues with the 49th harmonic, I have to wonder if that means that 159edo could also be considered a good candidate for a quartismic temperament. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 01:04, 10 September 2020 (UTC)

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	: 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)		: 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)

	:: To be frank, I've had a similar problem with 94edo in the 5-limit where the tempering of the marvel comma resulted in the best approximation of 25th harmonic being disconnected from the best approximation of the 5th harmonic, which, in some ways, works out worse for me in light of the fact that the ~~five~~-limit is kind of the bread and butter of most of my harmonic progressions and the 25th harmonic is useful in augmented chords. I know that one thing I'm doing as I'm mapping out the intervals of 159edo- especially now- is omitting the inconsistent intervals and their multiples, which enables me to effectively map out which portions of the harmonic lattice are actually usable in 159edo. So far, only a single instance of a 7 in the prime factorization in the numerator or denominator of any given ratio can work without putting the relative error above 50%. However, since 159edo is stated to be an excellent tuning for the guiron temperament- which is basically a 2.3.7 subgroup- even in light of the issues with the 49th harmonic, I have to wonder if that means that 159edo could also be considered a good candidate for a quartismic temperament. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 01:04, 10 September 2020 (UTC)		:: To be frank, I've had a similar problem with 94edo in the 5-limit where the tempering of the marvel comma resulted in the best approximation of 25th harmonic being disconnected from the best approximation of the 5th harmonic, which, in some ways, works out worse for me in light of the fact that the 5-limit is kind of the bread and butter of most of my harmonic progressions and the 25th harmonic is useful in augmented chords. I know that one thing I'm doing as I'm mapping out the intervals of 159edo- especially now- is omitting the inconsistent intervals and their multiples, which enables me to effectively map out which portions of the harmonic lattice are actually usable in 159edo. So far, only a single instance of a 7 in the prime factorization in the numerator or denominator of any given ratio can work without putting the relative error above 50%. However, since 159edo is stated to be an excellent tuning for the guiron temperament- which is basically a 2.3.7 subgroup- even in light of the issues with the 49th harmonic, I have to wonder if that means that 159edo could also be considered a good candidate for a quartismic temperament. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 01:04, 10 September 2020 (UTC)