Didier Aschour is a pioneer specialist performer of microtonal guitar music.  His custom guitar allows for rapid exchange of fingerboards, and he has worked with a luthier to build a collection of fingerboards that cover a vast range of tuning systems.  

This piece exists in two versions.   

While the two versions share a common score, they differ with respect to the arrangement of the fingerboard frets (the "warp") and the tuning of the strings (the "weft").   Didier commissioned two special fingerboards for the piece.


In each version, between the tunings of frets and the strings, one constitutes a fragment of the overtone series and the other a fragment of the undertone series.   The resulting interaction provides a very rich selection of pitches: within a limited span, arbitrary numerators and arbitrary denominators arise--thinking here of the available pitches by their ratios to the guitar's lowest open string.  

"Just intonation" always means composing with intervals formed from small integer ratios, thus with some subset of the rational numbers.   The tuning here, you might call it Cartesian, means to project the structure of the rational numbers writ large, so without imposing any subjective selection process.

Performed live, the piece would have Didier sliding a glass "bottleneck"  for the warp and strumming for the weft.  Or course that timbrel conceit is lost in these MIDI realizations.  But hopefully one day I'll have a recording of an instrumental performance for sharing.  This will have to do for now.



   




Warp Weft (I), for microtonal guitar (1998), for Didier Aschour

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Warp Weft (I), for microtonal guitar (1998), for Didier Aschour

David Victor Feldman