Acoustic Spirals: Analysis of Bach’s Prelude in C Major

  • Kinko TsujiEmail author
Part of the The Frontiers Collection book series (FRONTCOLL)


Bach’s prelude in C major of “The Well-Tempered Clavier, Book I” is analyzed with a dynamical approach, by using phase portraits and their two and three-dimensional expressions. Different from the traditional analysis based on the theory of harmony, our method can elucidate how the music develops in the course of time. The numerical calculation leads us to an image of this musical piece, as if one walks down a staircase with several half turns, while spinning around one’s own axis.


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Shimadzu Europa GmbHDuisburgGermany

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