Minimal harmonic slices

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Minimal harmonic slices are a method for representing selected Middle Eastern modal pitch structures through minimal sets of harmonic ratios. Because harmonic mapping is non-unique, the method uses earliness as a criterion for selecting the earliest harmonic representation sufficient to preserve the characteristic interval relationships of a modal structure. Ajnas map directly onto harmonic slices, while maqamat and dastgahs can be understood as larger structures formed through combinations, extensions, and register reapplications of such slices.

Music: Also singt Harmonie — a composition incorporating Minimal Harmonic Slices mapped in 24edo; the relevant section begins at 4:20. https://youtu.be/PsVhas-P-OM?si=X0IA0ILjOuerAVoS

Reference: Talebi, Siavash. Minimal Harmonic Slices: A Structural Criterion for Middle Eastern Modes. 2025. https://doi.org/10.5281/zenodo.18946443

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