I'm thinking about the formal conditions of the diatonic transposition.
It may seem trivial, but actually is much more difficult than it appears.
I think that modelling tonality and diatonic stuff is far more difficult
than the 12-tone operations.
One of the things I think is that in diatonic transposition you need to
inform more to the machine, a kind of axis point or map, because the transposition
of each degree is going to be different.
In the case of the diatonic set, the MyHill property assures that each diatonic distance
will be in exactly 2 sizes. Seconds: major and minor; Thirds: major and minor;
Fourths: perfect and augmented; Fifths: perfect and diminished and so on...
The Morris pitch spaces are also part of the problem...
Do you have any hint in relation to this intuitions to share ?
Maybe the way that OM make this operations ?
Best,
Julio