Eigenmonzo: Difference between revisions
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Cmloegcmluin (talk | contribs) seems like some potentially critical information about eigenmonzos is only found on this eigenmonzo subgroup page, so at least linking it for now |
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An '''eigenmonzo''' is (the monzo representation of) a JI interval that | 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. | ||
Revision as of 00:56, 28 May 2021
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 [0 0 1⟩. For any pure-octave temperament tuning, [1⟩, aka 2/1, is an eigenmonzo.
See also
- fractional monzo: for more mathematical information
- eigenmonzo subgroup