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Synopsis
"The Musical Scale" by Horace Peters Biddle. This 1867 treatise surveys the science and art of The Musical Scale, tracing its history from ancient theories toward a view that the scale is governed by harmony rather than by the harmonic series alone. It presents a systematic inquiry into how tones are produced, using the monochord as a model to relate string length, weight, and tension to pitch and interval. Biddle argues that the major and minor diatonic scales are not merely products of the harmonic series but develop under the governing law of harmony, and he examines harmonics, combined harmonics, and the rules that govern their relationships. The work details the major and minor diatonic scales, the chromatic tempered scale, and the chromatic scale, comparing these with older modes and exploring temperaments for fixed-tone instruments. Throughout, the author blends empirical demonstration with philosophical observations about harmony as the guiding principle of musical organization, cautioning against relying solely on mathematics to define musical beauty.
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The Musical Scale
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