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vl-haskell

A formal model of voice leading rules implemented in Haskell.

Building

vl-haskell can be built with stack. If required, run

stack setup

and build vl-haskell with

stack build

which will download all necessary dependencies. Documentation can be built with

stack haddock --open

where --open opens the documentation index in your default browser. You can find the documentation for this project under "VoiceLeading".

Usage

Reproducibility

The directory reproduce contains scripts for reproducing the data used in the paper. They are meant to be called from the main directory and generate their output in the main directory as well. Performance is best if the number of threads matches the set of physical cores. Since the GHC runtime gets confused about this by hyperthreading, you can set the number of threads manually using the environment variable NUM_CORES (optional).

$ NUM_CORES=2 ./reproduce/train.sh

produces a model and a training log from a fixed random seed.

$ NUM_CORES=2 ./reproduce/train_many.sh

produces a set of models (and logs) from fixed random seeds but with smaller markov chains. These models can be used for comparision with the main model in order to asses the robustness of the computed values.

Custom Usage

vl-haskell provides two main executables, vl-train and vl-compose. vl-train takes some learning parameters, runs a training session over all 4-voiced MIDI files in data/corpus/, and writes the resulting trained model to a json file. vl-compose takes such a model file and composes a piece from it by searching for a MAP assignment, i.e., a piece with a very high probability. This can be constraint by starting with a given piece and keeping some voices (e.g., soprano, or soprano and bass) intact, recomposing only the remaining voices.

Both commands need to be invoked via stack:

stack exec -- vl-{train,compose}

The -- is included in order to avoid arguments being passed to stack exec. For a documentation of each tool, use the -h (or --help) flag. An already trained model that can be used for vl-compose can be found in exampleModel.json.

The two additional commands vl-haskell-exe and vl-view-model are WIP and should not be used.

Module Overview

Basic Modules (src/VoiceLeading/)

VoiceLeading.Base - contains the code for representing music as a sequence of events.

VoiceLeading.Theory - some simple music theory functions.

VoiceLeading.Helpers - helper functions used across the project.

Functionality Modules (src/VoiceLeading/)

VoiceLeading.Automaton - defines the state machine and features and contains code for running features over a piece.

VoiceLeading.Distribution - defines models that represent a distribution using features and weights. Also contains code for evaluating the a piece under a given model.

VoiceLeading.Learning - provides an algorithm based on Persistent Contrastive Divergence to learn model parameters from a corpus.

VoiceLeading.Inference - provides algorithms to find the MAP assignment of a distribution (i.e., compose an "optimal" piece).

IO Modules (src/VoiceLeading/IO/)

VoiceLeading.IO.Midi - load pieces from MIDI files.

VoiceLeading.IO.LilyPond - export pieces to LilyPond and view the PDFs.

VoiceLeading.IO.Model - load and save models to and from JSON.

VoiceLeading.IO.Plotting - utilities for plotting values over features, e.g., model parameters.

VoiceLeading.IO.HorizontalBars - a horizontal bars layout for plotting.

Code Example

Look at app/Main.hs for an example of using the library. It can be executed by running stack exec vl-haskell-exe.

Another (possibly the same) example is given here:

import VoiceLeading.Base
import VoiceLeading.IO.Midi
import VoiceLeading.IO.Lilypond

main :: IO ()
main = do
  -- load a piece from Midi
  p <- loadMidi "01AusmeinesHerz.mid" :: IO (Piece ChoralVoice)
  -- give it a nicer title
  let (Piece meta events) = p
      piece = Piece (meta { title = "Aus meines Herzens Grunde" }) events
  -- do something
  viewPiece piece -- shows the internal representation of a piece as notes

It shows how

  • a piece can be loaded from a MIDI file (see src/VoiceLeading/MIDI.hs)
  • a the internal representation of a piece can be visualized using LilyPond (see src/VoiceLeading/LilyPond.hs).

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A probabilistic model of part writing.

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