Xenharmonic Wiki:Cross-platform dialogue: Difference between revisions
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::: (Although, the goal of optimization should be optimizing the tuning we hear not optimizing mathematical elegance. Although it's nice for them to coincide as much as possible.) --[[User:Godtone|Godtone]] ([[User talk:Godtone|talk]]) 23:09, 15 March 2024 (UTC) | ::: (Although, the goal of optimization should be optimizing the tuning we hear not optimizing mathematical elegance. Although it's nice for them to coincide as much as possible.) --[[User:Godtone|Godtone]] ([[User talk:Godtone|talk]]) 23:09, 15 March 2024 (UTC) | ||
:::: I can give you an example right now which is regarded by some as suboptimal: {128/125} (augmented) in CTE tuning is untempered, with pure 2, pure 3, and a 400-cent 5/4. It will have 6/5 at 302 cents whereas KE will have it more in tune at the expense of the purity of the 3. The logic of CTE is that since harmonic 3 isn't involved in the comma to be tempered out (128/125), of course it only makes sense that it should be pure, just as in 5-limit JI – and furthermore, any new prime added to this temperament should be pure. But POTE/KE also wanna take account of the sharp tendency induced by the sharp tuning of the 5. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 04:37, 16 March 2024 (UTC) | |||
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