This paper introduces a method for representing selected Middle Eastern modal pitch structures through minimal harmonic slices. These slices are defined as the earliest sets of harmonic ratios (e.g., 9–10–11–12) sufficient to preserve characteristic modal interval relations. Because harmonic mapping is inherently non-unique, the method adopts a criterion of earliness to select among multiple valid intonations. In this approach, ajnas (sets of three, four, or five stepwise pitches) map directly onto harmonic slices, and maqamat and dastgahs are understood as larger modal structures arising from combinations, extensions, or register reapplications of such slices. By privileging early harmonic slices, the paper offers a pedagogical method for understanding Middle Eastern modal structures, while emphasizing the enhanced harmonic clarity associated with low-order harmonic relations.
Siavash Talebi (Wed,) studied this question.
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