Abstract
We expand information segmentation to include additional properties of music geometry. We establish a distinct metric for invariant chord structure (harmonic consistency) and models for conjunct melodic motion and acoustic consonance. We combine these with centricity to form a unified measure of music geometry. Using geometric predictors and the LSQOP method, we classify music/non-music with comparable results to AI/ML, between 76% and 92% f-score.
S. Steinmetz—Work of the first author is supported in part by the Northrop Grumman Technical Fellowship.
E. Gethner—Work of the second author is supported in part by a Simons Foundation Collaboration Grant for Mathematicians.
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Notes
- 1.
Harmonic leading overfit is defined as acoustically perceivable chord transposition, or inversion.
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Steinmetz, S., Gethner, E. (2022). Information Synthesis of Time-Geometry QCurve for Music Retrieval. In: Montiel, M., Agustín-Aquino, O.A., Gómez, F., Kastine, J., Lluis-Puebla, E., Milam, B. (eds) Mathematics and Computation in Music. MCM 2022. Lecture Notes in Computer Science(), vol 13267. Springer, Cham. https://doi.org/10.1007/978-3-031-07015-0_36
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