Xenharmonic Wiki:Cross-platform dialogue: Difference between revisions
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::: TE is a mathematical way of optimising a temperament. it assumes you can temper all the generators however you like, and optimises with that in mind. POTE is literally, "take the TE tuning, then stretch or compress all the generators by some ratio r such that the octave becomes pure". if you look at its definition here https://en.xen.wiki/w/POTE_tuning | ::: TE is a mathematical way of optimising a temperament. it assumes you can temper all the generators however you like, and optimises with that in mind. POTE is literally, "take the TE tuning, then stretch or compress all the generators by some ratio r such that the octave becomes pure". if you look at its definition here https://en.xen.wiki/w/POTE_tuning | ||
it gives the steps to find the TE tuning, then the last step is very simple and is (from what i understand) a mathematical way of saying exactly the procedure i described | ::: it gives the steps to find the TE tuning, then the last step is very simple and is (from what i understand) a mathematical way of saying exactly the procedure i described | ||
:::: Find the POTE generators G' = G/T1; in other words G scalar divided by the first entry of T. | :::: Find the POTE generators G' = G/T1; in other words G scalar divided by the first entry of T. | ||
::: in other words, it seems like a hackish solution to the problem of "i want TE but with pure octaves" | ::: in other words, it seems like a hackish solution to the problem of "i want TE but with pure octaves" | ||