Modes of limited transposition are musical modes originally conceived by the French composer Olivier Messiaen for a tempered system of 12 pitches per octave. They are defined on the base of symmetry-related criteria used to split an octave into a number of recurrent interval groups. This paper describes an algorithm to automatically compute the modes of limited transposition in a generic n-tone equal temperament. After providing a pseudo-code description of the process, a Web implementation will be proposed.
Generalizing Messiaen's Modes of Limited Transposition to a n-tone Equal Temperament / A. Baratè, L.A. Ludovico - In: Proceedings of the International Conference on Sound and Music Computing (SMC-15) / [a cura di] J. Timoney, T. Lysaght. - Maynooth, Ireland : Music Technology Research Group, Department of Computer Science, Maynooth University, 2015 Jul. - ISBN 9780992746629. - pp. 287-293 (( Intervento presentato al 12. convegno Sound and Music Computing tenutosi a Maynooth nel 2015.
Generalizing Messiaen's Modes of Limited Transposition to a n-tone Equal Temperament
A. Baratè;L.A. Ludovico
2015
Abstract
Modes of limited transposition are musical modes originally conceived by the French composer Olivier Messiaen for a tempered system of 12 pitches per octave. They are defined on the base of symmetry-related criteria used to split an octave into a number of recurrent interval groups. This paper describes an algorithm to automatically compute the modes of limited transposition in a generic n-tone equal temperament. After providing a pseudo-code description of the process, a Web implementation will be proposed.
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