Eigenmonzo

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.

See also

• fractional monzo: for more mathematical information
• eigenmonzo subgroup