Eigenmonzo

An eigenmonzo is a just intonation interval that, when tempered in a given tuning of a given temperament, remains justly tuned.

For example, [0 0 1⟩ is an eigenmonzo in quarter-comma meantone. This is a fancy way of saying that 5:4 is justly tuned in quarter-comma meantone.

For any pure-octave temperament tuning, [1⟩, aka 2:1, is an eigenmonzo.

See also

• fractional monzo: for more mathematical information
• eigenmonzo subgroup