Kees (Cornelis) van Prooijen (born 7 August 1952) is a creator of computer art. [1] Although it does not bear his name, he independently discovered the Bohlen-Pierce scale, [2] [3] a non- octave-repeating scale based on the tritave and spectra containing odd harmonics, in 1978. Van Prooijen came across the scale through an investigation of continued fractions. [4] [5] [6]
He also invented the Kees height, or an "expressibility" measure for complexity of just intonation pitch classes. [7] [8]
- ^ Kees van Prooijen Homepage
- ^ Kees van Prooijen: " A Theory of Equal-Tempered Scales". Interface, Vol. 7 (1978), pp. 45–56. Swets & Zeitlinger B.V. – Amsterdam.
- ^ Kees van Prooijen. " 13 tones in the 3rd harmonic", kees.cc.
- ^ " What Were They Investigating?", Bohlen-Pierce Site.
- ^ Sethares, William A. (2005). Tuning, Timbre, Spectrum, Scale, p.74. ISBN 9781846281136.
- ^ Schroeder, Manfred. " Music and Mathematics", p.14. Nova Acta Leopoldina N.F. 92, Nr. 341, ISBN 3-8047-2237-7 (Halle, 2005), pp. 9–15.
- ^ " Kees+height", on Xenharmonic Wiki.
- ^ " Kees+van+Prooijen", on Xenharmonic Wiki.
- Wolfgang Auhagen, ed. (2005). Science and Music: The Impact of Music: Leopoldina Symposium, Halle/Saale, May 13 to 15, 2004, p. 14. Deutsche Akademie der Naturforscher Leopoldina. ISBN 9783804722378.
 | This article about a Dutch musician is a stub. You can help Wikipedia by expanding it. |
Kees (Cornelis) van Prooijen (born 7 August 1952) is a creator of computer art. [1] Although it does not bear his name, he independently discovered the Bohlen-Pierce scale, [2] [3] a non- octave-repeating scale based on the tritave and spectra containing odd harmonics, in 1978. Van Prooijen came across the scale through an investigation of continued fractions. [4] [5] [6]
He also invented the Kees height, or an "expressibility" measure for complexity of just intonation pitch classes. [7] [8]
- ^ Kees van Prooijen Homepage
- ^ Kees van Prooijen: " A Theory of Equal-Tempered Scales". Interface, Vol. 7 (1978), pp. 45–56. Swets & Zeitlinger B.V. – Amsterdam.
- ^ Kees van Prooijen. " 13 tones in the 3rd harmonic", kees.cc.
- ^ " What Were They Investigating?", Bohlen-Pierce Site.
- ^ Sethares, William A. (2005). Tuning, Timbre, Spectrum, Scale, p.74. ISBN 9781846281136.
- ^ Schroeder, Manfred. " Music and Mathematics", p.14. Nova Acta Leopoldina N.F. 92, Nr. 341, ISBN 3-8047-2237-7 (Halle, 2005), pp. 9–15.
- ^ " Kees+height", on Xenharmonic Wiki.
- ^ " Kees+van+Prooijen", on Xenharmonic Wiki.
- Wolfgang Auhagen, ed. (2005). Science and Music: The Impact of Music: Leopoldina Symposium, Halle/Saale, May 13 to 15, 2004, p. 14. Deutsche Akademie der Naturforscher Leopoldina. ISBN 9783804722378.
| This article about a Dutch musician is a stub. You can help Wikipedia by expanding it. |