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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.
arXiv comments
6 pages, version 5 is a revision in response to peer review; this is the version that has been accepted for publication in the Journal of Mathematics and Music