Minimal harmonic slices: Difference between revisions
Created page with "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..." |
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, ext |
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Talebi, Siavash. ''Minimal Harmonic Slices: A Structural Criterion for Middle Eastern Modes''. 2025. | Talebi, Siavash. ''Minimal Harmonic Slices: A Structural Criterion for Middle Eastern Modes''. 2025. | ||
https://doi.org/10.5281/zenodo.18946443 | https://doi.org/10.5281/zenodo.18946443 | ||
[[Category:Just intonation]] | |||
[[Category:3-limit]] | |||
[[Category:5-limit]] | |||
[[Category:11-limit]] | |||
[[Category:13-limit]] | |||
[[Category:24edo]] | |||
[[Category:12edo]] | |||
[[Category:Maqam]] | |||
[[Category:Dastgah]] | |||
[[Category:Arabic music]] | |||
[[Category:Persian music]] | |||
[[Category:Turkish music]] | |||
[[Category:Maqam]] | |||
[[Category:Dastgah]] | |||
Revision as of 15:31, 30 September 2026
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 5:18. 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