Article ID: CBB582385656

Research of Zhu Zaiyü’s Twelve-Tone Equal Temperament: Toward a Synthesis of Geometry, Arithmetic, Temperament and Physical acoustics (2014)


It is by all means not a coincidence that Twelve-tone equal temperament was first created in China,combining many remarkable achievements of Chinese history of science and technology and reflecting the rigorous attitude of Zhu Zaiyü,as well as the solid theoretical base of traditional Chinese science. Zhu Zaiyü’s Lü xue xin shuo,Lü lü jing yi and Suan Xue xin shuo,which described the creation process of twelve-tone equal temperament and reveales close links between geometry,arithmetic,temperament and physical acoustics. This article analyzes the above factors to prove that the process of creating twelve-tone equal temperament embodies profound thinking about mathematical analysis,which was the fundamental base for Zhu’s work and was used consistently during the whole process of creating Xin fa mi lü.

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Authors & Contributors
Bellissima, Fabio
Yang, Zezhong
Wu, Hongya
Guan, Xiao-wu
Dauben, Joseph Warren
Journal of the Acoustical Society of America
Nei Menggu Shifan Daxue Xuebao (Ziran Kexue Ban)
Berichte zur Wissenschaftsgeschichte
Bollettino di Storia delle Scienze Matematiche
Journal of Dialectics of Nature
Kexue Jishu yu Bianzhengfa (Science, Technology, and Dialectics)
Cambridge University Press
PL Academic Research
Carocci Editore
Music theory
East Asia, civilization and culture
Science and music
Zarlino, Gioseffo
Chu, Tsai-Yu
Hua, Hengfang
Seki, Takakazu
Li, Shanlan
Time Periods
19th century
17th century
18th century

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