IsisCB Explore

Article ID: CBB582385656

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

Liu, Yaya (Author)

Ziran Kexueshi Yanjiu (Studies in the History of Natural Sciences)
Volume: 33
Issue: 2
Pages: 173-187

URI: http://caod.oriprobe.com/articles/43134359/Research_of_Zhu_Zaiy%C3%BC_s_Twelve_Tone_Equal_Temperam.htm

Outside Links

WorldCat

Google Scholar

JSTOR

Academia.edu

Geometry East Asia, civilization and culture Mathematics Music theory Acoustics Arithmetic Musical scales; temperament Science and music China Zhu, Zaiyu

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.

...More

Citation URI

https://data.isiscb.org/isis/citation/CBB582385656/

Citations Indexes

Similar Citations

Article Wu, Hong-ya; (2006)
A study on the scientific skepticism and critical spirit of Chu Tsai-Yu's equal temperament scale (/isis/citation/CBB000701100/)

Article Carla Bromberg; Ana M. Alfonso-Goldfarb; (2016)
Music and Mathematics: A Case Study in the History of Science (/isis/citation/CBB854514897/)

Article Guan, Xiao-wu; (2007)
An Interpretation of Temperament Lengths Recorded in Iüshu of Shi Ji (/isis/citation/CBB000760551/)

Article Wright, M. C. M.; (2006)
A Short History of Bad Acoustics (/isis/citation/CBB001320912/)

Article BaldisseraPacchetti, Marina; (2014)
Turning Music into Sound: Vincenzo Galilei's Contributions to the History of Acoustics (/isis/citation/CBB001201082/)

Article Wilson, Preston S.; Dolder, Craig N.; Roy, Ronald A.; Pierce, Allan D.; (2014)
From Wood to Carey to Mallock: A Review of Bill Carey's Work Associated with the Mallock-Wood Equation and the Acoustics of Bubbly Liquids and Gas-Bearing Sediments (/isis/citation/CBB001201084/)

Article Klotz, Sebastian; (2008)
Tonpsychologie und Musikforschung als Katalysatoren wissenschaftlich-experimenteller Praxis und der Methodenlehre im Kreis von Carl Stumpf (/isis/citation/CBB000930029/)

Article Rieger, Matthias; (2008)
Unterscheidung und Synthese: Rezeptionsformen akustischer Forschung in der Musikliteratur des 19. Jahrhunderts (/isis/citation/CBB000930028/)

Book Bühler, Walter; (2013)
Musikalische Skalen bei Naturwissenschaftlern der frühen Neuzeit: eine elementarmathematische Analyse (/isis/citation/CBB001551482/)

Book Fabio Bellissima; (2022)
La scala musicale: una storia tra matematica e filosofia (/isis/citation/CBB817825244/)

Article Barker, Andrew; (2009)
Ptolemy and the Meta-Helikôn (/isis/citation/CBB000932506/)

Article Fabio Bellissima; Maria Silvestrini; (2017)
The «Mathematical Possibilities» of the Music Concept of Mode from Ptolemy to Messiaen (/isis/citation/CBB413487512/)

Article Luo, Jianjin; (2003)
On the Development of the Formulae for Sums of Integers (/isis/citation/CBB000774899/)

Article Dauben, Joseph W.; (2008)
Suan Shu Shu: A Book on Numbers and Computations: English Translation with Commentary (/isis/citation/CBB000774065/)

Article Catherine Jami; (2019)
Beads and Brushes:Elementary Arithmetic and Western Learning in China, 1600‒1800 (/isis/citation/CBB008022658/)

Article Fabio Bellissima; (2014)
Arithmetic, Geometric and Harmonic Means in Music Theory (/isis/citation/CBB139505675/)

Book Cho, Gene J. T.; (2003)
Discovery of Musical Equal Temperament in China and Europe in the Sixteenth Century (/isis/citation/CBB000301657/)

Chapter Fei Xu; Xiaoyuan Jiang; (2021)
Zhu Zaiyu and the Equal Temperament (/isis/citation/CBB724965279/)

Book Creese, David; (2010)
The Monochord in Ancient Greek Harmonic Science (/isis/citation/CBB001023177/)

Book Assayag, Gérard; Feichtinger, Hans Georg; Rodrigues, José Francisco; (2002)
Mathematics and Music: A Diderot Mathematical Forum (/isis/citation/CBB000330004/)

Comments

{{ comment.created_by.username }} on {{ comment.created_on | date:'medium' }}