Xenharmonic Wiki talk:Things to do: Difference between revisions
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== Reduce over-2 and prime-limit bias == | == Reduce over-2 and prime-limit bias == | ||
The problem with just having a table of ''prime'' harmonics is that it only focuses on intervals of the form ''p''/2, and the approximations of many other intervals (which are important for subgroup temperaments) aren't immediately visible and cannot always be obtained directly from the best approximations for primes. | The problem with just having a table of ''prime'' harmonics is that it only focuses on intervals of the form ''p''/2, and the approximations of many other intervals (which are important for subgroup temperaments) aren't immediately visible and cannot always be obtained directly from the best approximations for primes. | ||
So I '''propose''' that every edo page should have a subpage that catalogues the best approximations in the edo of all the intervals in the 29-odd limit. The reason I propose the 29-odd limit is that 7n-edos approximate 29/16 to within ~1c. Up to inversional equivalence and omitting 1/1 and 2/1, that's 91 intervals. If that's overkill, then the primes table at the top of every edo page should actually have all the odd harmonics from 3 to 29 and their best approximations. [[User:IlL|Inthar]] ([[User talk:IlL|talk]]) 08:34, 24 January 2021 (UTC) | So I '''propose''' that every edo page should have a subpage that catalogues the best approximations in the edo of all the intervals in the 29-odd limit. The reason I propose the 29-odd limit is that 7n-edos approximate 29/16 to within ~1c. Up to inversional equivalence and omitting 1/1 and 2/1, that's 91 intervals. If that's overkill, then the primes table at the top of every edo page should actually have all the odd harmonics from 3 to 29 and their best approximations. [[User:IlL|Inthar]] ([[User talk:IlL|talk]]) 08:34, 24 January 2021 (UTC) | ||