The Haskell school of music : from signals to symphonies

This book explores the fundamentals of computer music and functional programming through the Haskell programming language. Functional programming is typically considered difficult to learn. This introduction in the context of creating music will allow students and professionals with a musical inclination to leverage their experience to help understand concepts that might be intimidating in more traditional computer science settings. Conversely, the book opens the door for programmers to interact with music by using a medium that is familiar to them. Readers will learn how to use the Euterpea library for Haskell (http://www.euterpea.com) to represent and create their own music with code, without the need for other music software. The book explores common paradigms used in algorithmic music composition, such as stochastic generation, musical grammars, self-similarity, and real-time interactive systems. Other topics covered include the basics of signal-based systems in Haskell, sound synthesis, and virtual instrument design. 1. Computer music, Euterpea, and Haskell 2. Simple music 3. Polymorphic and higher-order functions 4. A musical interlude 5. Syntactic magic 6. More music 7. Qualified types and type classes 8. From music to MIDI 9. Interpretation and performance 10. Self-similar music 11. Proof of induction 12. An algebra of music 13. L-Systems and generative grammars 14. Random numbers ... and Markov chains 15. Basic input/output 16. Higher-order types and monads 17. Musical user interfaces 18. Sound and signals 19. Euterpea's signal functions 20. Spectrum analysis 21. Additive and subtractive synthesis 22. Amplitude and frequency modulation 23. Physical modeling. This is a textbook on functional programming in Haskell, with a strong focus on computer music concepts and applications. The book describes Euterpea, a computer music library developed in Haskell, that allows programming computer music applications both at the note level and the signal level. The book also teaches functional programming in Haskell from scratch. This book teaches functional programming through creative applications in music and sound synthesis. Readers will learn the Haskell programming language and explore numerous ways to create music and design virtual instruments with concise, elegant code.