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.
| Original language | English |
|---|---|
| Pages (from-to) | 243-249 |
| Number of pages | 7 |
| Journal | Journal of Mathematics and Music |
| Volume | 19 |
| Issue number | 3 |
| DOIs |
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| State | Published - Oct 16 2025 |
Scopus Subject Areas
- Modeling and Simulation
- Music
- Computational Mathematics
- Applied Mathematics
Keywords
- Carlos scales
- Nonstandard scale
- Wendy Carlos
- alpha scale
- beta scale
- gamma scale