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He resonates five toes...

Music / Sound - Composition


Type Of Work


  • Music / Sound - Composition

Abstract


  • The starting point for this short study is the Sieve of Eratosthenes (named after the ancient Greek mathematician), a method of finding prime numbers through a gradual sifting process. A prime number is divisible only by itself and one. Many musicians working in just-intonation tuning are interested in prime numbers because of the theory of prime limits, an audible characteristic that is related to specific prime-numbered harmonics. A scale belonging to a particular prime limit has a distinctive hue that makes it aurally distinguishable from scales with other limits.

    In this piece the tape part is built from a large set of harmonics (as well as subharmonics) from which different non-prime-numbered harmonics are sifted out, leaving just the primes. Against the ebb and flow of this sound mass is heard a koto, a 13-stringed Japanese zither, which has been retuned to Eratosthenes' enharmonic scale.

Publication Date


  • 2008

Citation


  • Narushima, T.. He resonates five toes.... Cambridge, MA, USA: Musical work included on the Leonardo Music Journal CD series, volume 18. MIT Press Journals, 2008.

Ro Metadata Url


  • http://www.mitpressjournals.org/doi/abs/10.1162/lmj.2008.18.89a?prevSearch=authorsfield%3A%28Narushima%2C+Terumi%29&searchHistoryKey=

Book Title


  • Musical work included on the Leonardo Music Journal CD series, volume 18

Distribution Medium


  • CD

Type


  • Recorded work

Place Of Publication


  • Cambridge, MA, USA

Type Of Work


  • Music / Sound - Composition

Abstract


  • The starting point for this short study is the Sieve of Eratosthenes (named after the ancient Greek mathematician), a method of finding prime numbers through a gradual sifting process. A prime number is divisible only by itself and one. Many musicians working in just-intonation tuning are interested in prime numbers because of the theory of prime limits, an audible characteristic that is related to specific prime-numbered harmonics. A scale belonging to a particular prime limit has a distinctive hue that makes it aurally distinguishable from scales with other limits.

    In this piece the tape part is built from a large set of harmonics (as well as subharmonics) from which different non-prime-numbered harmonics are sifted out, leaving just the primes. Against the ebb and flow of this sound mass is heard a koto, a 13-stringed Japanese zither, which has been retuned to Eratosthenes' enharmonic scale.

Publication Date


  • 2008

Citation


  • Narushima, T.. He resonates five toes.... Cambridge, MA, USA: Musical work included on the Leonardo Music Journal CD series, volume 18. MIT Press Journals, 2008.

Ro Metadata Url


  • http://www.mitpressjournals.org/doi/abs/10.1162/lmj.2008.18.89a?prevSearch=authorsfield%3A%28Narushima%2C+Terumi%29&searchHistoryKey=

Book Title


  • Musical work included on the Leonardo Music Journal CD series, volume 18

Distribution Medium


  • CD

Type


  • Recorded work

Place Of Publication


  • Cambridge, MA, USA