I made an algorithm that computes accidentals on the algebraic level:
the notes of the scales of staff and music are defined by linear
combinations from a set of formal seconds. The typesetting is
independent of the tuning system: the pitches are found by plugging
values into these seconds, which can be done when writing an audio
file. There is another algorithm for doing that.
The idea is to allow for very general types of scales and music. The
staff scale does not need to be the traditional minor scale, have
seven notes per diapason, or even defined by just a minor and a major
second.
There Haskell code is available, in case somebody wants to check if it
might be useful for LilyPond.
Hans
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