Class 10 Video: Equivalence and Intervals (I); Hierarchies (IV)
Gustav Holst’s First Suite for Band in E-flat (1906), I: Chaconne. [Watch on YouTube]
Discussion: What types of equivalence are used for each entrance of the theme in the Chaconne?
Watch Video 10a as an introduction to the reading by Dmitri Tymoczko:
Video 10a: Review: Equivalence Classes and OPTIC
Reading: Chapter 2 of Tymoczko’s A Geometry of Music: Harmony and Counterpoint in the Extended Common Practice. Oxford University Press, 2011. ISBN: 9780199887507. [Preview with Google Books]