Talk:Just intonation point: Difference between revisions

Sintel (talk | contribs)
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Mike Battaglia (talk | contribs)
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- [[User:Sintel|Sintel]] ([[User talk:Sintel|talk]]) 22:20, 18 December 2021 (UTC)
- [[User:Sintel|Sintel]] ([[User talk:Sintel|talk]]) 22:20, 18 December 2021 (UTC)


:: The JIP isn't just a list of generators; it's a function that maps from monzos to their size in cents (or whatever unit you want). In non-weighted coordinates, the coefficients are the sizes of the basis monzos in your subgroup, in cents; in weighted coordinates it'll typically be <1 1 1 1 1 ...| (if you're in some subgroup generated by primes. [[User:Mike Battaglia|Mike Battaglia]] ([[User talk:Mike Battaglia|talk]]) 10:58, 19 December 2021 (UTC)
:: The JIP isn't just a list of generators; it's a function that maps from monzos to their size in cents (or whatever unit you want). In non-weighted coordinates, the coefficients are the sizes of the basis monzos in your subgroup, in cents; in weighted coordinates it'll typically be <1 1 1 1 1 ...| if you're in some subgroup generated by primes. [[User:Mike Battaglia|Mike Battaglia]] ([[User talk:Mike Battaglia|talk]]) 10:58, 19 December 2021 (UTC)


::: Yes, this fact follows directly from the definition. [[User:Sintel|Sintel]] ([[User talk:Sintel|talk]]) 14:35, 19 December 2021 (UTC)
::: Yes, this fact follows directly from the definition. [[User:Sintel|Sintel]] ([[User talk:Sintel|talk]]) 14:35, 19 December 2021 (UTC)
:::: It doesn't if we go with saying the JIP is just a list of generators. [[User:Mike Battaglia|Mike Battaglia]] ([[User talk:Mike Battaglia|talk]]) 17:00, 19 December 2021 (UTC)
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