Model musical structures and transformations with Topos of Music forms and PLR operations.
npx skills add https://github.com/plurigrid/asi --skill topos-of-music
Please help me install this Agent Skill. Skill: topos-of-music Source: https://github.com/plurigrid/asi/tree/main/skills/topos-of-music Command: npx skills add https://github.com/plurigrid/asi --skill topos-of-music
Implements Guerino Mazzola's Topos of Music, including Forms, Denotators, Morphisms, and Neo-Riemannian PLR operations with color integration.
Run the Julia-based Topos demo to observe morphisms and PLR transitions.
High-intent search queries and answers about installing and using this skill.
Categorical topology models musical structures through Guerino Mazzola's Topos of Music framework, which defines Forms, Denotators, and Morphisms to represent notes, chords, and scores as structured mathematical objects with transformations.
PLR operations are Neo-Riemannian transformations (Parallel, Leading-tone exchange, Relative) that modify chords systematically. The Skill applies PLR morphisms to transform chord structures while maintaining harmonic relationships.
Yes, the Skill integrates Gay.jl color mapping to create sonic and visual representations of musical data, enabling color-coded chord transformations and tonnetz navigation in Julia-based workflows.
Tonnetz navigation traverses pitch-class space geometrically, while K-net verification validates Klumpenhouwer networks representing voice-leading relationships. The Skill provides utilities for both operations on chord and score structures.
SimpleForm defines atomic musical objects, LimitForm constructs bounded product structures, and ColimitForm creates union-like structures. Each supports different hierarchies for organizing notes, chords, and scores.
The framework assumes familiarity with music theory fundamentals and mathematical structures. Understanding Forms and Denotators requires categorical thinking, though the Skill abstracts away complex topology internals for common operations.
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