User talk:Aura: Difference between revisions

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: This is further up on my page than the tables of odd harmonics: For the fifths in the basic 11L 2s (Wyschnegradsky) diatonicized chromatic scale (the version that 24edo yields), the 11/8-span of a patent fifth is a stack of 10 intervals of 11/8, octave-reduced. I haven't yet done this calculation for 159edo — it isn't too far off from basic, but it has small enough increments that attempting to use the same 11/8-span gives the b val fifth instead of the patent fifth. 00:07, 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. [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 05:53, 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)

Revision as of 05:53, 11 April 2025 view source Lucius Chiaraviglio (talk \| contribs) 1,172 edits →Temperament(s) for Diatonicized Chromaticism?: 16/11-span for 3/2 in 159edo ← Older edit		Revision as of 06:52, 11 April 2025 view source Lucius Chiaraviglio (talk \| contribs) 1,172 edits →Temperament(s) for Diatonicized Chromaticism?: Too many iterations of generator (off-scale) Newer edit →
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	: This is further up on my page than the tables of odd harmonics: For the fifths in the basic 11L 2s (Wyschnegradsky) diatonicized chromatic scale (the version that 24edo yields), the 11/8-span of a patent fifth is a stack of 10 intervals of 11/8, octave-reduced. I haven't yet done this calculation for 159edo — it isn't too far off from basic, but it has small enough increments that attempting to use the same 11/8-span gives the b val fifth instead of the patent fifth. 00:07, 11 April 2025 (UTC)		: This is further up on my page than the tables of odd harmonics: For the fifths in the basic 11L 2s (Wyschnegradsky) diatonicized chromatic scale (the version that 24edo yields), the 11/8-span of a patent fifth is a stack of 10 intervals of 11/8, octave-reduced. I haven't yet done this calculation for 159edo — it isn't too far off from basic, but it has small enough increments that attempting to use the same 11/8-span gives the b val fifth instead of the patent fifth. 00:07, 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. [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 05:53, 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)