Maximal evenness: Difference between revisions
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In particular, within every [[edo]], one can specify such a scale for every smaller number of notes. An ''m''-note maximally even scale in ''n''-edo is the closest ''n''-edo can get to representing ''m''-edo. | In particular, within every [[edo]], one can specify such a scale for every smaller number of notes. An ''m''-note maximally even scale in ''n''-edo is the closest ''n''-edo can get to representing ''m''-edo. | ||
== | == Mathematics == | ||
=== Definition === | |||
Mathematically, if 0 < ''n'' < ''m'', a ''maximally even (sub)set of size n'' in '''Z'''/''m'''''Z''' is any translate of the set | Mathematically, if 0 < ''n'' < ''m'', a ''maximally even (sub)set of size n'' in '''Z'''/''m'''''Z''' is any translate of the set | ||