The Mathematics of the Just Intonation Used in the Music of Terry Riley

Year: 1999 Authors: Joel K. Haack

Core claim

Riley’s tuning can be evaluated mathematically through interval ratios, symmetry, and tonal-center placement, and these factors help explain its deviation from more symmetric systems.

Topics

just intonation, keyboard tuning, Minimalism, tonal symmetry

Domains

number theory, rational ratios, prime factorization, frequency proportions, music theory, composition, microtonality, performance practice

Methods

interval ratio analysis, tuning comparison, harmonic reasoning, symmetry discussion

Media

piano, recordings, justly tuned keyboard

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.