Eigenmonzo: Difference between revisions

Revision as of 23:04, 25 May 2021 view source Cmloegcmluin (talk \| contribs) autopatrolled, emailconfirmed 5,170 edits seems like some potentially critical information about eigenmonzos is only found on this eigenmonzo subgroup page, so at least linking it for now ← Older edit		Revision as of 00:56, 28 May 2021 view source Keenan Pepper (talk \| contribs) autopatrolled, Bureaucrats, confirmaccount-notify, Interface administrators, Sysops 968 edits m wording Newer edit →
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	An '''eigenmonzo''' is (the monzo representation of) a JI interval that ~~can be generated~~ exactly in a concrete tuning of a temperament.		An '''eigenmonzo''' is (the monzo representation of) a JI interval that is rendered exactly in a concrete tuning of a temperament.

	For example, in quarter-comma meantone, the generator is 5^(1/4), so the eigenmonzo here is {{monzo\|0 0 1}}. For any pure-octave temperament tuning, {{monzo\|1}}, aka 2/1, is an eigenmonzo.		For example, in quarter-comma meantone, the generator is 5^(1/4), so the eigenmonzo here is {{monzo\|0 0 1}}. For any pure-octave temperament tuning, {{monzo\|1}}, aka 2/1, is an eigenmonzo.