Just Intonation Keyboard: Isomorphic Keyboard Reimagined

Year: 2018 Authors: Marek Žabka

Core claim

A JI plane yields isomorphic musical keyboards whose mapping from divisional tones is an affine isomorphism, enabling strict just intonation.

Topics

just intonation, isomorphic keyboards, music theory, keyboard layout

Domains

affine geometry, Euclidean space, prime number representation, lattice models, musical interface design, instrument layout, tuning systems, visual notation

Methods

theoretical framework, geometric modeling, affine mapping, pitch-height function

Media

keyboard diagrams, Figure 2, symbolic key markers

Source status

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