Schubert's harmonic language and Fourier phase space
open.bu.edu · 181 words · saved by 1 readers
Show Statistical Information
Abstract This article introduces a type of harmonic geometry, Fourier phase space, and uses it to advance the understanding of Schubert’s tonal language and comment upon current topics in Schubert analysis. The space derives from the discrete Fourier transform on pitch-class sets developed by David Lewin and Ian Quinn but uses primarily the phases of Fourier components, unlike Lewin and Quinn, who focus more on the magnitudes. The space defined by phases of the third and fifth components closely resembles the Tonnetz and has a similar common-tone basis to its topology but is continuous and…
related reading
- Tonnetz - Wikipediaen.wikipedia.org
- waveloop: what fable left meneynt.ca
- Neo-Riemannian theory - Wikipediaen.wikipedia.org
- Napkin.pdfvenhance.github.io
- Predictability and Statistical Memory in Classical Sonatas and Quartetsarxiv.org
- About | Harmonicharmonic.fun
- Fourier analysis - Wikipediaen.wikipedia.org
- Limit (music) - Wikipediaen.wikipedia.org
- An Interactive Guide To The Fourier Transform – BetterExplainedbetterexplained.com
- Talking Piano – Sound Arts 21ontopofit.myblog.arts.ac.uk
- Toward an exploratory medium for mathematicscognitivemedium.com
- A Universe of Sortspixel-druid.com