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- n. The condition of being harmonic
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In music, people talk about 'harmonicity' when the energy produced by a note is distributed across the multiple positions of a fundamental frequency.
; Real Function Algebras offers results of independent interest such as: topological conditions for the commutativity of a real or complex Banach algebra; Ransford's short elementary proof of the Bishop-Stone-Weierstrass theorem; the implication of the analyticity or antianalyticity of f from the harmonicity of Re f, Re f (2), Re f (3), and Re f (4); and the positivity of the real part of a linear functional on a subspace of C (X).
Just as temporal aspects of acoustic resonances underlie the harmonicity of musical sounds, temporal aspects of neuronal correlation mechanisms may explain our preference for harmonic relationships in music.