### Mathematics Across the Curriculum: Music

# Bibliography

The original music theory articles:
- John Clough, "Aspects of diatonic sets",
*J. Music Theory*
23 (1979) 45-61.
- John Clough and Gerald Myerson, "Variety and multiplicity in
diatonic systems",
*J. Music Theory* 29 (1985) 249-269.
- John Clough and Jack Douthett, "Maximally even sets",
*J. Music Theory* 35 (1991) 93-173.

A mathematical approach to some of these concepts:
- John Clough and Gerald Myerson, "Musical scales and the generalized
circle of fifths",
*Amer. Math. Monthly* 93 (1986) 695-701.

A physics approach (including the proof that maximally even sets are
energy minimizing):
- Jack Douthett and Richard Krantz, "Energy extremes and spin
configurations for the one-dimensional antiferromagnetic Ising model
with arbitrary-range interaction",
*J. Math. Physics 37 (7) (1996),
3334-3353.
*