User talk:Aura: Difference between revisions

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: Did this for 159edo — the 16/11-span of 3/2 is 51. And it doesn't even work for the next EDO up or down from the last column of the tuning spectrum table of 11L 2s (135edo or 146edo, respectively) — the 3rd harmonic mapping is too unstable for EDO sizes that large in this region. Also, 51 is so many iterations of the generator that it goes well outside of the 11L 2s scale. Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 05:53, 11 April 2025 (UTC) Last Modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:52, 11 April 2025 (UTC)

:: Fascinating. I guess that means we need to look into chords with 94\159 fifths, which actually approximate 128/85 rather than 3/2. These chords clearly cannot be pure 5-limit either, but that's okay. Given that you mention 2.3.5.23 meantime, I'm now wondering if we can cobble together something for 11L 2s based on the ~128/85 archagall fifth. To start on this front, what are the modes of 11L 2s that contain ~128/85 in 159edo? --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 10:40, 11 April 2025 (UTC)

Revision as of 06:52, 11 April 2025 view source Lucius Chiaraviglio (talk \| contribs) 2,913 edits →Temperament(s) for Diatonicized Chromaticism?: Too many iterations of generator (off-scale) ← Older edit		Revision as of 10:40, 11 April 2025 view source Aura (talk \| contribs) autopatrolled, emailconfirmed 6,012 edits →Temperament(s) for Diatonicized Chromaticism? Tags: Mobile edit Mobile web edit Newer edit →
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	: Did this for 159edo — the 16/11-span of 3/2 is 51. And it doesn't even work for the next EDO up or down from the last column of the tuning spectrum table of 11L 2s (135edo or 146edo, respectively) — the 3rd harmonic mapping is too unstable for EDO sizes that large in this region. Also, 51 is so many iterations of the generator that it goes well outside of the 11L 2s scale. Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 05:53, 11 April 2025 (UTC) Last Modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 06:52, 11 April 2025 (UTC)		: Did this for 159edo — the 16/11-span of 3/2 is 51. And it doesn't even work for the next EDO up or down from the last column of the tuning spectrum table of 11L 2s (135edo or 146edo, respectively) — the 3rd harmonic mapping is too unstable for EDO sizes that large in this region. Also, 51 is so many iterations of the generator that it goes well outside of the 11L 2s scale. Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 05:53, 11 April 2025 (UTC) Last Modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 06:52, 11 April 2025 (UTC)
			:: Fascinating. I guess that means we need to look into chords with 94\159 fifths, which actually approximate 128/85 rather than 3/2. These chords clearly cannot be pure 5-limit either, but that's okay. Given that you mention 2.3.5.23 meantime, I'm now wondering if we can cobble together something for 11L 2s based on the ~128/85 archagall fifth. To start on this front, what are the modes of 11L 2s that contain ~128/85 in 159edo? --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 10:40, 11 April 2025 (UTC)