Talk:44edo: Difference between revisions

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:::::::: 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)

::::::::: To add to your comment, for example, flipping the 11th harmonic gives it +78.5% error. However, flipping the 7th makes 7/6 have -78.5% error (almost exactly equal and opposite to the warted 11), and gives 9/7 ''104.7%'' error. Overall the sharpness of the 3rd harmonic alone means 44edo should be treated as having a sharp tendency.

::::::::: And personally, 7/5 and 11/7 being consistent isn't alone enough to justify 44d. The 44e mapping does seem somewhat reasonable, mapping 11/9 to the neutral third. Also, I feel like 22edo being a subset of 44 is critical, and the dual mapping just doesn't seem to fit.

::::::::: <small>And also I was originally planning to respond directly but got an edit conflict.</small> --[[User:Overthink|Overthink]] ([[User talk:Overthink|talk]]) 19:06, 10 May 2026 (UTC)

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 :::::::: 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)
+::::::::: To add to your comment, for example, flipping the 11th harmonic gives it +78.5% error. However, flipping the 7th makes 7/6 have -78.5% error (almost exactly equal and opposite to the warted 11), and gives 9/7 ''104.7%'' error. Overall the sharpness of the 3rd harmonic alone means 44edo should be treated as having a sharp tendency.
+::::::::: And personally, 7/5 and 11/7 being consistent isn't alone enough to justify 44d. The 44e mapping does seem somewhat reasonable, mapping 11/9 to the neutral third. Also, I feel like 22edo being a subset of 44 is critical, and the dual mapping just doesn't seem to fit.
+::::::::: <small>And also I was originally planning to respond directly but got an edit conflict.</small> --[[User:Overthink|Overthink]] ([[User talk:Overthink|talk]]) 19:06, 10 May 2026 (UTC)