ChiRho: Supplemental Data for a Tetrad Algebra and Symmetry-Breaking Model

43 transpositional tetrad templates form the core of this supplemental data for the ChiRho transformational framework in music theory. The dataset includes catalog tables, operator definitions, orbit data, and musical examples supporting the manuscript by Bryan Roberts, last updated in May 2026. Files are provided in formats including PDF, TXT, and CSV.

Use Cases

• Analyze tetrad partner pairs and orbits based on the defined ChiRho supercharge operator.
• Identify BPS chords based on the fixed points of the symmetry-breaking model.
• Study the geometric glyph representation of tetrad templates and their transformational properties.
• Generate musical examples using the provided template and operator data.

Strengths

• Includes data for 43 distinct tetrad templates.
• Provides multiple file formats (PDF, TXT, TEX, CSV) for different analysis needs.
• Explicitly licensed under CC-BY-4.0 for open reuse.

Limitations

• Description metadata is limited; actual data quality requires manual inspection after download.
• Column-level documentation is absent; field semantics must be inferred after download.
• Row count is unknown, which may limit suitability assessment.

Provenance

Source

figshare

Collection Method

Created as supplemental materials for an academic manuscript.

Freshness

Last updated 2026-05-17 14:11:30; freshness should be verified.