A research article proposes spectral serialization as a way to select timbres rooted in musical structure. Its method is based on information geometry, bringing a mathematical lens to a question of interest to composers and sound designers: how can timbre be compared and organized alongside musical material?
The article evaluates Wasserstein distance between polyphonic timbre spectra. It expresses that distance in terms of the second moment of spectral chords comprising three or more notes, with the second moment expressed in squared hertz, and embeds these quantities in a Banach space.
For a creator-facing reading, the notable point is that the analysis treats orchestration as consequential: the same chord can show different affinities and divergences depending on how it is orchestrated. The article examines passages by Strauss, Mahler, Berg and Webern from the perspective of timbre, and uses the wah wah mute as an example in its proposed model.
The proposed model also places instrumental timbre and speech in the same Banach space and attempts to quantify the vowel triangle in Hz. The article presents this as a partial but integrated response to three historical problems associated with Schoenberg: Serialism, Klangfarbenmelodie and Sprechgesang.
The tools are available on GitHub and are intended to let anyone reproduce and extend the analyses. That makes the work’s clearest practical hook its reproducible software component; the supplied description does not establish specific hardware or digital-audio-workstation requirements.
