Transcript Language of Music - Winona State University

Language of Music
By Travis Supalla
Overview
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Introduction
Musical Notation/Correlation to Language
Music and Computers
Markov Models
References
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.
Musical Notation
Musical Notation FSM
Music and Computers
• Early Composition
– Musical Dice
• (11^16) * (6^16) = (1.3 * (10^29)) possible
compositions
• Advent of Computers
– Sophistication
– Higher Order Models
Music and Computers cont’d
• Tools
– MUSICCOMP
• Music is representation
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]
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.
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.
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.
<http://sunsite.univie.ac.at/Mozart/dice/>.
• Visell, Yon. "Spontaneous Organisation,
Pattern Models, and Music." Organised Sound
9.2 (2004): 151-65. Print.