Definitions of tuning terms
© 1998 by Joseph L. Monzo
All definitions by Joe Monzo unless otherwise cited
determinant
A calculation made on a matrix.
When the matrix is square and the rows
represent independent
unison vectors,
the determinant indicates the number
of pitches contained within the corresponding
periodicity block. This was
documented by Fokker.
Interestingly, the same numbers which delimit
ETs with good rational implication also
specify the number of pitch-classes in just-intonation
systems which incorporate bridging
to delineate the finity of the system.
[from Joe Monzo, JustMusic: A New Harmony
with
Paul Erlich]
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