Cover Image
QR Code

Three crystal growth algorithms in 23-limit constrained harmonic space.

Based on an algorithm developed by James Tenney, the author generates pitch ‘crystals’ in a multidimensional harmonic space. These compact harmonic structures, which grow to include complex intervals in extended just intonation, are the basis of several compositions including the piano trio reminded...

Full description

Published in:Contemporary Music Review Vol. 27; no. 1; pp. 57 - 79
Main Authors: Sabat, Marc, Tenney, James
Format: Article
Published: Taylor & Francis Ltd 2008
Subjects:
Algorithms
Algebra
Tenney, James
Authors
Intonation (Phonetics)
Harmonic spaces (Mathematics)
Online Access:View this record in EBSCOhost
Summary:Based on an algorithm developed by James Tenney, the author generates pitch ‘crystals’ in a multidimensional harmonic space. These compact harmonic structures, which grow to include complex intervals in extended just intonation, are the basis of several compositions including the piano trio reminded of charlemagne palestine.