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arXiv · 1706.04338

Playing Music in Just Intonation - A Dynamically Adapting Tuning Scheme

Karolin Stange·Christoph Wick·Haye Hinrichsen
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Abstract

We investigate a dynamically adapting tuning scheme for microtonal tuning of musical instruments, allowing the performer to play music in just intonation in any key. Unlike other methods, which are based on a procedural analysis of the chordal structure, the tuning scheme continually solves a system of linear equations without making explicit decisions. In complex situations, where not all intervals of a chord can be tuned according to just frequency ratios, the method automatically yields a tempered compromise. We outline the implementation of the algorithm in an open-source software project that we have provided in order to demonstrate the feasibility of the tuning method.

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Karolin Stange, Christoph Wick, Haye Hinrichsen. 2017-06-14. Playing Music in Just Intonation - A Dynamically Adapting Tuning Scheme. https://arxiv.org/abs/1706.04338

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