Hidden Geometry in Music of Bach and Schoenberg: Reflection, Rotation, Proportion

Year: 2003 Authors: Jonathan Saggau

Core claim

Bach and Schoenberg’s music contains hidden geometric and proportional structures that organize pitch, time, and symmetry beyond surface numerical features.

Topics

music analysis, geometric proportion, statistical correlation, symmetry, pitch-time modeling

Domains

geometry, statistics, proportion, symmetry, golden mean, music theory, composition, architecture

Methods

pitch-time complex plane, graphical measurement, Spearman correlation, Pearson correlation, Kendall correlation

Media

Bach Suite for Solo Cello No. 2, Schoenberg Op. 19 No. 2, pitch data, bar graphs

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.