Talk:Pajara: Difference between revisions
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:: I honestly don't see why everyone sees patent vals as so arbitrary. To me the patent val essentially is the edo, non-patent vals really just exist to define wedgies/ET joins and that's it. -- [[User:VectorGraphics|VectorGraphics]] ([[User talk:VectorGraphics|talk]]) 06:44, 23 November 2025 (UTC) | :: I honestly don't see why everyone sees patent vals as so arbitrary. To me the patent val essentially is the edo, non-patent vals really just exist to define wedgies/ET joins and that's it. -- [[User:VectorGraphics|VectorGraphics]] ([[User talk:VectorGraphics|talk]]) 06:44, 23 November 2025 (UTC) | ||
::: There's a difference between an edo and its patent val; the val describes the corresponding rank-1 temperament. See [[EDO vs ET]]. Sometimes it's better to use the second-best approximation for a prime harmonic; for example, it's much better to use the 34d val than the patent val when using prime [[7/1|7]] in 34edo. In the patent val all of [[7/6]], [[7/5]], [[9/7]], [[14/11]], [[14/13]], [[15/14]], and their [[octave complement]]s are inconsistent, while in the 34d val only [[7/4]] and [[8/7]] are inconsistent. The ratios between harmonics are just as important as the harmonics themselves, and even more so when one realizes that there's much more of them. Also, the 34d val is much more useful than the 32edo or 54edo patent val.--[[User:Overthink|Overthink]] ([[User talk:Overthink|talk]]) 09:14, 25 December 2025 (UTC) | |||