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Generalized Carlos Scales

2024/08/26 by Andrew V. Sills, Sills, Andrew V. · 1 voice
Agricultural and Biological Sciences · #Cartography #Geography #Plant Pathogens and Resistance #Scale (ratio)

paper · pdf · doi:10.48550/arxiv.2408.14551

openalex publication_date 2024/08/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In 1986, composer Wendy Carlos introduced three unusual musical scales she called alpha, beta and gamma, equal temperament-inspired scales that de-emphasize the octave as the primary interval in favor of the major and minor thirds and the perfect fifth. A derivation of the alpha, beta, and gamma scales due to David Benson is generalized to produce many Carlos-type scales.

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