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)

Revision as of 00:07, 11 April 2025 view source Lucius Chiaraviglio (talk \| contribs) 1,176 edits →Temperament(s) for Diatonicized Chromaticism?: 11/8-span of a fifth ← Older edit		Revision as of 05:53, 11 April 2025 view source Lucius Chiaraviglio (talk \| contribs) 1,176 edits →Temperament(s) for Diatonicized Chromaticism?: 16/11-span for 3/2 in 159edo 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)