On 8 Dec 2008, at 12:28, Graham Breed wrote:
Also, I made keyboard map, which I have used in Scala playing in
mainly E31
for the last couple of months:
A# B# Cx Dx Ex
A B C# D# E# Fx Gx Ax Bx
Bb C D E F# G# A# B#
Cb Db Eb F G A B C'# D'#
Dbb Ebb Fb Gb Ab Bb C' D' E'
It will them work in any such generalized diatonic system.
You mean you have a keyboard mapped like this, or you use a virtual
keyboard in Scala?
Anyway, it'll only work in a system with a single spiral of fifths
(singly positive or negative in Wilson's terminology). No good for
miracle or magic temperaments.
The link <http://x31eq.com/paradigm.html> you gave says:
Miracle scales can be described as subsets of either 31, 41, or 72
note equal
temperament. For example, the 21 note "blackjack" scale looks like
this:
1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 /31
1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 /41
2 5 2 5 2 5 2 5 2 5 2 5 2 5 2 5 2 5 2 5 2 /72
So the m M-model will work, and also the keyboard layout above, if
adding more note names. One must give those names in Scala, but the
vectoring is the same.
There is a practical problem: it is nice to have the octaves level.
And having a lot m's makes the keyboard span short.
Hans
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