Marc Sabat, Thomas Nicholson:
A Compact Enharmonically Viable Subset of Harmonic Space: The Stern-Brocot Tree and Some Thoughts About Lattices and Spirals

Stati a studie / Živá hudba 2020/11 / Publikováno 7. 6. 2021

Abstrakt While temperament may present some apparent advantages, it necessarily sacrifices the distinct “JI fusion sonority” of intervals that are precisely tuneable by ear. These manifest a vast gradation of consonance and dissonance, as yet largely unexplored and with fascinating potential for new compositions. This article proposes a novel approach, based on a mathematical structure called the Stern-Brocot Tree, allowing a finite set of pitches to be generated in just intonation within which music may modulate freely without relying on temperament.

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