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Encyclopedia of Microtonal Music Theory

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[Joe Monzo]

Said of a certain temperament, when it is the case that a certain comma (defined in its general sense) is present as an interval of that temperament, i.e., that comma does not vanish. Thus, while that comma may be a vapro for other temperaments, it cannot be a vapro for that temperament.

For example, below are shown two bingo-card lattices, one for 12-et and one for 22-et. The unison-vectors on these lattices are indicated by the notation of a 0 (zero) on the lattice-cube.

articulation: bingo-card lattice of 12-et articulation: bingo-card lattice of 22-et

It can be seen that the syntonic-comma, with 2,3,5-monzo [* 4, -1 > , is represented in 12-et by 0 (zero) degrees, and in 22-et by 1 degree. Thus:

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