Measures structural conservation and naturality in musical and categorical transformations.
The Naturality Factor skill provides a rigorous framework for evaluating how well transformations—such as musical transpositions or mathematical morphisms—preserve underlying structural properties. By implementing category theory concepts like natural transformations and the Yoneda lemma, it allows developers and researchers to quantify 'defect' in conservation laws across chromatic, triadic, and diatonic systems. It is particularly useful for users of the Rubato musical framework or those working with topological data structures to ensure compositional coherence.
主な機能
01Integrates with Rubato morphisms for advanced musical structure analysis
02Supports multiple conservation laws including GF(3), Z/12Z chromatic, and Diatonic
03Quantifies transformation naturality on a 0.0 to 1.0 scale
04Calculates mathematical defect to identify where structural conservation fails
052 GitHub stars
06Provides Yoneda conservation checks for object relationship analysis
ユースケース
01Validating if a musical transformation preserves interval structures across a score
02Testing triadic balance in complex transformations using GF(3) logic
03Analyzing structural coherence in category-theoretic models of music or data
