Talk:44edo
Dual-7 edo?
Not sure this edo needs to be treated as dual-7. The flat mapping makes little sense to use. —FloraC (talk) 09:00, 8 May 2026 (UTC)
- Sharp 7 works with the sharp 3 and sharp 13 (assuming opposites sides of the fraction bar). Flat 7 works with the flat 5 and flat 11 (again assuming opposite sides of the fraction bar). Lucius Chiaraviglio (talk) 11:36, 8 May 2026 (UTC)
- But you really need the flat 7 in combination with the commonly used 5, which is flat, but not flat enough for a wart. And you need it in combination with the commonly used 3 which is sharp, when both are on the same side of the fraction bar. Lucius Chiaraviglio (talk) 15:18, 9 May 2026 (UTC)
- Well I don't think any inconsistency implies there's a point to treat the edo as dual-prime. The question of a dual-prime edo is rather if the two interpretations are about as valid, and in this case I don't think so. For 2.3.7, consider that 39edo, which has an even sharper 7, isn't treated as dual-7 on this wiki, which I think is very fair and should be taken as a sign that the archy mapping prevails over semaphore in this range. The flat 5 here isn't enough to shift the sharp tendency to justify a flat mapping of 7. This is confirmed in Graham Breed's temperament finder, where 44d doesn't come up in the 7-limit at all and 44e comes before 44d in the 11- to 19-limit. —FloraC (talk) 15:50, 9 May 2026 (UTC)
- 39edo has the advantage that all of the flat harmonics (at least up to 23) are flat enough that you can just wart them all and call it a day. But 44edo has some harmonics that are just moderately sharp or moderately flat (not really working with a wart), so since 7 is far enough off to be wartable, might as well make it dual. Lucius Chiaraviglio (talk) 16:04, 9 May 2026 (UTC)