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Symmetriska tonförråd
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-7158-5865
(Swedish)Manuscript (preprint) (Other (popular science, discussion, etc.))
Abstract [sv]

Heltonsskalorna och dimskalorna är exempel på så kallade symmetriska skalor, det vill säga tonklassmängder (tonförråd) som är invarianta under transponering med $n$ halvtonssteg för något tal $n$, $1\le n \le 11$.

På ett systematiskt sätt konstrueras i artikeln alla möjliga symmetriska tonklassmängder inom det kromatiska tonförrådet. Vi finner totalt 15 olika typer, varav 10 stycken innehåller sex tonklasser (toner) eller fler. 

Keywords [sv]
Skalor, symmetriska tonklassmängder, klassificering.
National Category
Musicology Discrete Mathematics
Research subject
Applied and Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-267262OAI: oai:DiVA.org:kth-267262DiVA, id: diva2:1391999
Note

QC 20200214

Available from: 2020-02-06 Created: 2020-02-06 Last updated: 2020-02-14Bibliographically approved

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Thunberg, Hans

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CiteExportLink to record
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