Caspar Johannes Walter – Publications

“Variants of continued fraction algorithms and their relationship to the fraction windowing algorithm for modeling the sounding pitches of multiphonics on piano strings”

Freiburg, August 20191

Translation, Carter Williams


In order to calculate the frequency components of so-called pure multiphonics (multiphonics consisting of harmonic partials of the fundamental) on vibrating strings, I developed my fraction windowing algorithm. This article discusses in detail how the fraction windowing algorithm works and its relationship to the closely related mathematical concept of a continued fraction. Ten variants of continued fraction algorithms are characterized and compared to the fraction windowing algorithm. At the end of the article, I summarize other general observations I made during my studies of continued fractions types.

Online frei zugänglich unter:

Eine Stimmung nach Harry Partch für das Arciorgano findet sich unter:

“Meantone Circles (2016)

Models for systematical structures of meantone and other tunings”

Online frei zugänglich unter:


“Fingerprints of meantone and other tunings (2016)”

Online frei zugänglich unter:

“The Huygens-Fokker list of intervals, 

sorted by size and analyzed for configuration of primes (2017)”

Online frei zugänglich unter:

Other Websites

McLaren, Bob (no date): The Evolution of Harry Partch’s Tuning System. (retrieved October 17, 2017)

American Mavericks Harry Partch Instruments. (retrieved October 17, 2017)

Ellis, Alexander John (1885): On the musical scales of various nations. (retrieved October 17, 2017)

De Pue, Joanne (2014): “Harry Partch Instrumentarium takes up residency at UW” in School of Music University of Washington, Washington. (retrieved October 17, 2017)

Kozinn, Allan (1991): “Some Offbeat Instruments Move to New York” in New York Times, New York. (retrieved October 17, 2017)