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Tuning and Temperament: A Historical Survey (Dover Books On Music: History) Tuning and Temperament: A Historical Survey by J. Murray Barbour
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“The Pythagorean system is based upon the octave and the fifth, the first two intervals of the harmonic series. Using the ratios of 2:1 for the octave and 3:2 for the fifth, it is possible to tune all the notes of the diatonic scale in a succession of fifths and octaves, or, for that matter, all the notes of the chromatic scale. Thus a simple, but rigid, mathematical principle underlies the”
J. Murray Barbour, Tuning and Temperament: A Historical Survey