Open Research Online The Open University’s repository of research publications and other research outputs Isomorphic controllers and Dynamic Tuning: invariant fingering over a tuning continuum Journal Item How to cite: Milne, Andrew; Sethares, William and Plamondon, James (2007). Isomorphic controllers and Dynamic Tuning: invariant fingering over a tuning continuum. Computer Music Journal, 31(4) pp. 15–32. For guidance on citations see FAQs. c 2007 Massachusetts Institute of Technology Version: Version of Record Link(s) to article on publisher’s website: http://dx.doi.org/doi:10.1162/comj.2007.31.4.15 http://www.mitpressjournals.org/loi/comj Copyright and Moral Rights for the articles on this site are retained by the individual authors and/or other copyright owners. For more information on Open Research Online’s data policy on reuse of materials please consult the policies page. oro.open.ac.uk Andrew Milne,* William Sethares,** and James Isomorphic Controllers and Plamondon† *Department of Music Dynamic Tuning: Invariant University of Jyväskylä Finland Fingering over a Tuning
[email protected] **Department of Electrical and Computer Engineering Continuum University of Wisconsin-Madison Madison, WI 53706 USA
[email protected] †Thumtronics Inc. 6911 Thistle Hill Way Austin, TX 78754 USA
[email protected] In the Western musical tradition, two pitches are all within the time-honored framework of tonality. generally considered the “same” if they have nearly Such novel musical effects are discussed briefly in equal fundamental frequencies. Likewise, two the section on dynamic tuning, but the bulk of this pitches are in the “same” pitch class if the frequency article deals with the mathematical and perceptual of one is a power-of-two multiple of the other.