Greetings everyone. This is my first mailing list post, so apologies if I'm unwittingly off-topic etc.
I've recently been working on a little project to aid my own explorations into computer-aided composition & music representation. I've (rather blandly) named it 'AbstractMusic', and it can be found on Github[1]. It's designed around the idea of separating the process of producing music into different layers of abstraction; each layer of abstraction having its own idea of what a pitch, interval and duration is; and a triple of (pitch, interval, duration) types can be used to create a 'note' type. For example, among the pitch types there are: - AbstractPitch1, which represents scale degrees - AbstractPitch2, ordinary pitches (derived from AbstractPitch1 by applying a scale) - AbstractPitch3, a frequency in Hertz (derived from AbstractPitch2 by applying a tuning system) Each type makes as few assumptions as possible about what it might be transformed into -- in particular, AbstractPitch2 does not assume 12-equal temperament, so C-sharps are distinct from D-flats -- it's up to the tuning system to determine how to deal with accidentals/augmentation/diminution etc. See the file Tuning.hs for implementations of some common syntonic (meantone) and equal temperaments. The internal representation of pitches and intervals is as a free Abelian group -- i.e. a pair of integers representing that interval in a particular basis. This means that most common tuning systems can be implemented quite succinctly as some linear transformation of that internal representation. I've produced one major example so far, which a piece of keyboard music by Guillaume Costeley which uses 19-equal temperament. See the file Costeley.lhs, or this[2] page for synthesised (Csound) and typeset (Lilypond) output. Please see the files Examples.hs and Canon.hs for more examples, e.g. a fragment of Pachelbel's canon. (You may notice that I'm no expert in Csound -- both the Csound and the Lilypond output are rather primitive at the moment) Edward Lilley [1]: https://github.com/ejlilley/AbstractMusic [2]: http://www.ugnus.uk.eu.org/~edward/costeley/ _______________________________________________ haskell-art mailing list haskell-art@lurk.org http://lists.lurk.org/mailman/listinfo/haskell-art
