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physics.soc-ph2026
Elastic overtones: an equal temperament 12 tone music system with "perfect" fifths
X. Hernandez, Luis Nasser, Pablo Garcia-Valenzuela
The impossibility of a transposable 12 semitone tuning of the octave arises from the mathematical fact that i.e., the second harmonic of the fifth can no…
physics.soc-ph2025
Thermodynamics of harmony: extending the analogy across musical systems
L. Nasser, A. Tillotson, X. Hernandez
It is common for most people to think of science and art as disparate, or at most only vaguely related fields. In physics, one of the biggest successes of thermodynamics is its exp…