1. Language of Music By Travis Supalla

2. Overview Introduction Musical Notation/Correlation to Language Music and Computers Markov Models References

3. Introduction Music is universally known. It is one of the earliest forms of communication. Allowing people to show emotions, convey messages, or entertain others. Using models, composers, musicologists, or music aficionados can develop new ways to look at music or even create their own.

4. Musical Notation

5. Musical Notation FSM

6. Music and Computers Early Composition – Musical Dice (11^16) * (6^16) = (1.3 * (10^29)) possible compositions Advent of Computers – Sophistication – Higher Order Models

7. Music and Computers cont’d Tools – MUSICCOMP Music is representation

8. Markov Models M = (K, , A) – K is a finite set of states –  is a vector that contains the initial probabilities of each of the states – A is a matrix that represents the transition probabilities A[p,q]

9. Markov Models cont’d Use of the models – Model performance of complex systems – Music composition – To describe naturally occurring processes Hidden Markov Model Also a NDFSM that is used in analyzing a system.

10. Markov Models and Music Used to predict other lines corresponding to relationships between a note and one coinciding with it. The states and transitions describe the music as it should be written. The output probabilities describe each way a note can be performed.

11. References Rich, Elaine. Automata, Computability and Complexity Theory and Applications. Upper Saddle River (N. J.): Pearson Prentice Hall, 2008. Print. "Mozart's Musikalisches Würfelspiel." SunSITE Austria: Math, Stats & Science Education. Web. 27 Apr. 2010.. Visell, Yon. "Spontaneous Organisation, Pattern Models, and Music." Organised Sound 9.2 (2004): 151-65. Print.