A Musical Scale Generated from the Ratio of Consecutive Primes

Year: 2015 Authors: Reginald Bain

Core claim

Consecutive-prime ratios can generate an octave-based musical scale with distinctive just-intonation intervals suitable for algorithmic composition.

Topics

prime numbers, musical scale, just intonation, algorithmic composition

Domains

prime gaps, ratios, number theory, logarithmic cents, music theory, electronic composition, tuning systems

Methods

ratio sequence construction, octave partitioning, scalar ordering, cent conversion

Media

Max visual programming language, electronic music, frequency ratios

Source status

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