CITATION — REFERENCE ENTRY

consonance-efficiency · tymoczko2006-geometry-chords

Revision b37c7881-ba8c-45a7-8caa-9adc9c9e0452 · 11/1/2026, 8:58:15 PM UTC
Claim ID
consonance-efficiency
Assertion
Because acoustically consonant chords divide the octave nearly evenly, they lie near the centre of the orbifolds and can be connected by efficient, independent voice leading. Tymoczko argues that this central feature of Western counterpoint is made possible by composers' interest in acoustic consonance.
Quote
It follows that the acoustically consonant chords of traditional Western music can be connected by efficient voice leading. ... These chords are therefore clustered near the center of the orbifolds (Table 1) and can be linked by efficient, independent voice leadings. Traditional tonal music exploits this possibility (Fig. 1, A to C, and movie S4). This central feature of Western counterpoint is made possible by composers' interest in the harmonic property of acoustic consonance.
Quote language
en
Locator
page: 73-74
Available in