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Encyclopedia of Microtonal Music Theory

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Malcolm's monochord

[Joe Monzo]

A 12-tone 5-limit just intonation tuning. Its ratios are shown on a lattice diagram below:

Malcolm's monochord, 5-limit just intonation lattice

One example of the Malcolm monochord as a basis behind an equal-temperament (ET) is on the 12-et bingo-card lattice. It also plays a role in Hindemith's 5-limit JI derivation of 12-et.