Definitions of tuning terms
© 1998 by Joseph L. Monzo
All definitions by Joe Monzo unless otherwise cited
interval matrix
The 'square' of all possible intervals in a closed tuning system.
The matrix or square is generated by listing each note in the scale
both horizontally and vertically, assuming one note to be at the top
of the interval and the other to be at the bottom,
then filling in the size of the
interval where both lines intersect.
When each interval is measured as an absolute value, half of the
intervals will have positive sizes and half will have negative,
with all intervals falling within the
'octave' bounded by the
'tritone' below the
1/1 and the 'tritone' above it.
Usually, for the values which would be negative, the higher note
in the interval is raised an 'octave', so that all intervals fall
within the 'octave' bounded by 1/1 and 2/1, as in
this example.
[from Joe Monzo, JustMusic: A New Harmony]
(to download a zip file of the entire Dictionary, click here) |
|
I welcome
feedback about this webpage:
![]() ![]() ![]() |