DIAHEMITONIC MODALITY: A QUARTER-TONAL COMPOSITION SYSTEM

Simon Kaplan · Tempo · 2023

Abstract This article describes a design process for a composition system based upon the quarter-tone scale. As the semitone and quarter-tone scales share the same properties, a musical grammar based upon the former is used as a model to construct an analogous musical grammar based upon the latter. Within the scope of diatonic modal music, the organisation of pitches and durations is analysed from a scientific perspective. Several parameters are taken into consideration: scale, mode, chord, cadence, metre and rhythm. The one-to-one mapping of each facet of diatonic modality onto quarter-tonality results in diahemitonic modality.

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