Talk:44edo: Difference between revisions

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::::::: The 11th harmonic has only -21.5¢ relative error, so flipping it is going to introduce much more relative error than flipping the 7th harmonic, which has +47.6¢ relative error. If you were going to apply a wart to just 1 harmonic and use only the warted val, it might make sense to flip the 11th harmonic (as done with 27e), but you wouldn't want to use 44d alone, but in strategic alternation with 44 patent (thus, dual-7 rather than solely alternate-7). [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 12:00, 10 May 2026 (UTC)

:::::::: I gave you three reasons why this edo should not be considered dual-7. You're only addressing one of them, so my point still stands. Now in my defense on this particular one, I'd like to point you to the TE errors, which Graham's temperament finder uses as criteria. These for 19-limit 44e and 44d are 2.58 cents and 2.64 cents, respectively, so while the 11th harmonic itself has a high relative error in the sharp mapping, it is not so with the intervals in the 11- to 19-limit on average. —[[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 18:34, 10 May 2026 (UTC)

Revision as of 12:00, 10 May 2026 view source Lucius Chiaraviglio (talk \| contribs) 2,915 edits →Dual-7 edo?: dual-7 rather than solely alternate-7 ← Older edit		Revision as of 18:34, 10 May 2026 view source FloraC (talk \| contribs) autopatrolled, Bureaucrats, Interface administrators, Sysops 25,426 edits Re Newer edit →
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	::::::: The 11th harmonic has only -21.5¢ relative error, so flipping it is going to introduce much more relative error than flipping the 7th harmonic, which has +47.6¢ relative error. If you were going to apply a wart to just 1 harmonic and use only the warted val, it might make sense to flip the 11th harmonic (as done with 27e), but you wouldn't want to use 44d alone, but in strategic alternation with 44 patent (thus, dual-7 rather than solely alternate-7). [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 12:00, 10 May 2026 (UTC)		::::::: The 11th harmonic has only -21.5¢ relative error, so flipping it is going to introduce much more relative error than flipping the 7th harmonic, which has +47.6¢ relative error. If you were going to apply a wart to just 1 harmonic and use only the warted val, it might make sense to flip the 11th harmonic (as done with 27e), but you wouldn't want to use 44d alone, but in strategic alternation with 44 patent (thus, dual-7 rather than solely alternate-7). [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 12:00, 10 May 2026 (UTC)

			:::::::: I gave you three reasons why this edo should not be considered dual-7. You're only addressing one of them, so my point still stands. Now in my defense on this particular one, I'd like to point you to the TE errors, which Graham's temperament finder uses as criteria. These for 19-limit 44e and 44d are 2.58 cents and 2.64 cents, respectively, so while the 11th harmonic itself has a high relative error in the sharp mapping, it is not so with the intervals in the 11- to 19-limit on average. —[[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 18:34, 10 May 2026 (UTC)