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court, spent thirty years on research based on the equal temperament idea originally postulated by his father. He described his new pitch theory in his Fusion of Music and Calendar ???? published in 1580. This was followed by the publication of a precise numerical specification for equal temperament in his 5,000-page work Complete Compendium of Music and Pitch (Yuelü quan shu ????) in 1584. An extended account is also given by Joseph Needham. Zhu obtained his result mathematically by dividing the length of string and pipe successively

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