Dynamic Tonality - Isomorphic Keyboards and Tuning Invariance

Isomorphic Keyboards and Tuning Invariance

Isomorphic keyboards have the unique properties of transpositional invariance and tuning invariance when used with rank-2 temperaments of just intonation. That is, they expose a given musical interval with "the same shape" in every octave of every key of every tuning of such a temperament. For example, a given tonal scale and its chords will have the same shape, and hence consistent fingering, all across the tuning range of the syntonic temperament. Of the various isomorphic keyboards (e.g., the Bosanquet, Janko, Fokker, and Wesley), the Wicki keyboard is optimal for dynamic tonality.

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