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THE ALLEGED INFLUENCE OF PYTHAGORAS
A POSSIBLE ORIGIN OF THE METRIC CYCLE p
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12th root 3rd Cent 4/3 proportion according acoustic Anaximander ancient approximately Aristides Quintilianus Babylonian bamboo bells blowing blown cycle blown fifths Book calculate Chavannes Cheng Hsuan chia-chung China Chinese Classics Chinese music Chinese scale ching-i Chu Tsai-yu Courant cycle of blown cycle of fifths diameter double-length emitted equal temperament ethos of music evidence Father Amiot finger-holes formula fourth frequency fundamental note given gives Greek harmonic harmonic series head-flute Hornbostel hsin-shuo huang-chung i-tzu inches instruments intervals Joseph Needham jui-pin ku-hsien Kunst Legge length Li-chi lin-chung Ling Lun Lu-shih ch'un-ch'iu mathematical metric cycle microtones month Musique nan-lu natural notch numbers octave Odes Oktave pan-pipes perfect fifth pipe pitch pitch-pipes planets principle Pythagoras Pythagorean Pythagorean comma quoted Roussier says Scholes semitone sound Ssu-ma Ch'ien string suggests Szu-pu pei-yao ta-lu tetrachord theory Timaeus tone tube tuning vertical flute kuan vibrations wu-i ying-chung