Xenharmonic Wiki

Minimal harmonic slices

Revision as of 08:07, 1 October 2026 by FloraC (talk | contribs) (FloraC moved page Minimal Harmonic Slices to Minimal harmonic slices without leaving a redirect: WP:NCCAPS)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

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

Siavash Talebi

Also singt Harmonie — a composition incorporating Minimal Harmonic Slices mapped in 24edo; the relevant section begins at 4:20.

References

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

Retrieved from "https://en.xen.wiki/index.php?title=Minimal_harmonic_slices&oldid=238341"