User talk:Aura: Difference between revisions

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:::: Well, the ~128/85 fifth of 159edo is indeed useful in its own right as an imitation of the kind of thing you see in 22edo. Perhaps we can play to the strengths of that type of system where two ~128/85 intervals octave-reduced add up to ~17/15, and two instances of ~17/15 add up to ~9/7- yes, that is how 159edo works since both 22edo and 159edo support archagall temperament. Not only that but the ~128/85 interval is 159edo's best approximation of 17edo's fifth, so we could also shoot for 11L 2s harmonies that evoke the kind of stuff found in 17edo and it's multiples. The point is that if the ~11/8 and ~16/11 intervals count as ambisonances (basically, they're both consonances and dissonances at the same time) for our intents and purposes, as I know they do for mine, then we can afford to play with some of the less accurate intervals in our 11L 2s harmonies- assuming we play our cards right. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 04:28, 12 April 2025 (UTC)

::::: [[24576/24565#Mavka_a.k.a._archagallismic|Mavka a.k.a. archagallismic]] looks sort of like what we want, although that seems like more dimensions than we need, and I don't know how you would map that many dimensions onto any kind of keyboard, even before considering the size. (But maybe that could be trimmed down to a rank-3 temperament that is different from Archgallic, so as to get the 11/8 in there?) I see that its multiple generators include ~3, and it includes 150edo as a patent val, so you can get both 128/85 and 3/2. [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:25, 12 April 2025 (UTC)

Revision as of 04:28, 12 April 2025 view source Aura (talk \| contribs) autopatrolled, emailconfirmed 5,920 edits →Temperament(s) for Diatonicized Chromaticism? Tags: Mobile edit Mobile web edit ← Older edit		Revision as of 08:25, 12 April 2025 view source Lucius Chiaraviglio (talk \| contribs) 1,176 edits →Temperament(s) for Diatonicized Chromaticism?: Need a higher rank temperament Newer edit →
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	:::: Well, the ~128/85 fifth of 159edo is indeed useful in its own right as an imitation of the kind of thing you see in 22edo. Perhaps we can play to the strengths of that type of system where two ~128/85 intervals octave-reduced add up to ~17/15, and two instances of ~17/15 add up to ~9/7- yes, that is how 159edo works since both 22edo and 159edo support archagall temperament. Not only that but the ~128/85 interval is 159edo's best approximation of 17edo's fifth, so we could also shoot for 11L 2s harmonies that evoke the kind of stuff found in 17edo and it's multiples. The point is that if the ~11/8 and ~16/11 intervals count as ambisonances (basically, they're both consonances and dissonances at the same time) for our intents and purposes, as I know they do for mine, then we can afford to play with some of the less accurate intervals in our 11L 2s harmonies- assuming we play our cards right. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 04:28, 12 April 2025 (UTC)		:::: Well, the ~128/85 fifth of 159edo is indeed useful in its own right as an imitation of the kind of thing you see in 22edo. Perhaps we can play to the strengths of that type of system where two ~128/85 intervals octave-reduced add up to ~17/15, and two instances of ~17/15 add up to ~9/7- yes, that is how 159edo works since both 22edo and 159edo support archagall temperament. Not only that but the ~128/85 interval is 159edo's best approximation of 17edo's fifth, so we could also shoot for 11L 2s harmonies that evoke the kind of stuff found in 17edo and it's multiples. The point is that if the ~11/8 and ~16/11 intervals count as ambisonances (basically, they're both consonances and dissonances at the same time) for our intents and purposes, as I know they do for mine, then we can afford to play with some of the less accurate intervals in our 11L 2s harmonies- assuming we play our cards right. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 04:28, 12 April 2025 (UTC)

			::::: [[24576/24565#Mavka_a.k.a._archagallismic\|Mavka a.k.a. archagallismic]] looks sort of like what we want, although that seems like more dimensions than we need, and I don't know how you would map that many dimensions onto any kind of keyboard, even before considering the size. (But maybe that could be trimmed down to a rank-3 temperament that is different from Archgallic, so as to get the 11/8 in there?) I see that its multiple generators include ~3, and it includes 150edo as a patent val, so you can get both 128/85 and 3/2. [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 08:25, 12 April 2025 (UTC)