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.
2020/11
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
Citace:
Marc Sabat, Thomas Nicholson. A Compact Enharmonically Viable Subset of Harmonic Space: The Stern-Brocot Tree and Some Thoughts About Lattices and Spirals. Živá hudba 2020/11. On-line <https://ziva-hudba.info/stern-brocot-ji/> [18. 4. 2024].
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