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]
Sources
^ 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 .
Further reading
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 .