Classification of complex musical structures by Grassmann schemes

Guerino Mazzola ()
Additional contact information
Guerino Mazzola: University of Minnesota, School of Music

A chapter in From Past to Future: Graßmann's Work in Context, 2011, pp 401-412 from Springer

Abstract: Abstract The precise understanding of complex musical structures has made considerable progress in the last 50 years. On the one hand, such structures have been described in a unified way by the use of modern mathematics, in particular by conceptual tools developed in the algebraic geometry of schemes and more generally in topos theory. Both fields were essentially created by Alexander Grothendieck and allow for a conceptual elegance that can capture rather subtle features in music-theoretic thinking.

Keywords: Free Module; Local Composition; Absolute Pitch; Music Theory; Musical Structure (search for similar items in EconPapers)
Date: 2011
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0346-0405-5_35

Ordering information: This item can be ordered from
http://www.springer.com/9783034604055

DOI: 10.1007/978-3-0346-0405-5_35

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().