René Descartes’i heksahordide akustilisest ehitusest

dc.contributor.authorHumal, Mart
dc.contributor.otherKõlar, Anu, koostaja
dc.date.accessioned2024-04-01T07:54:06Z
dc.date.available2024-04-01T07:54:06Z
dc.date.issued2019
dc.descriptionSummary available in English (p. 87)
dc.descriptionOlemas kokkuvõte inglise keeles (lk 87)et
dc.description.abstractAs we know, the medieval system of solmization is based on hexachords which correspond to the first six degrees of the modern major key. Its tones have been designated as solmization syllables ut–re–mi–fa–sol–la. According to the theory outlined in the treatise Compendium musicae (1618) by the French philosopher and mathematician René Descartes (1596–1650), the interval ut to re must always be a minor whole-tone (9:10), re to mi a major whole-tone (8:9), mi to fa a major semitone (15:16), fa to sol a major whole-tone, and finally sol to la a minor whole-tone. Among the notes of the English physicist and mathematician Isaac Newton dated 1665, there is a diagram, which, probably following one of Descartes’s examples, represents five hexachords. In these, Descartes’s figures marking string lengths are replaced by figures marking units of the 53-division of the octave, having the size of 22.6 cents. In this study, all the Descartes hexachords possible in the 53-division are discussed and compared with those of John Hothby (?–1487) and Gioseffo Zarlino (1517–1590).
dc.description.sponsorshipEuropean Regional Development Funden
dc.description.sponsorshipCenter of Excellence for Estonian Studiesen
dc.description.sponsorshipRepublic of Estonia, Ministry of Cultureen
dc.description.sponsorshipEesti Vabariik, Kultuuriministeeriumet
dc.identifier.issn2382-8080
dc.identifier.urihttps://doi.org/10.58162/NQYC-3W84
dc.identifier.urihttps://hdl.handle.net/10062/97442
dc.language.isoet
dc.publisherEesti Muusika- ja Teatriakadeemia
dc.publisherEesti Muusikateaduse Selts
dc.relation.ispartofRes Musica : Eesti Muusikateaduse Seltsi ja Eesti Muusika- ja Teatriakadeemia muusikateaduslik aastaraamat
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Estoniaen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/ee/
dc.titleRené Descartes’i heksahordide akustilisest ehitusest
dc.title.alternativeThe Acoustical Structure of René Descartes’s Hexachords
dc.typeArticle

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