Eigenmonzo: Difference between revisions
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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. | |||
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 more mathematical information, see [[fractional monzo]]. | |||
Revision as of 19:18, 10 May 2021
An eigenmonzo is (the monzo representation of) a JI interval that can be generated 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.
For more mathematical information, see fractional monzo.