Oxford studies in music theory exploring musical spaces

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Exploring Musical Spaces is a comprehensive synthesis of mathematical techniques in music theory, written with the aim of making these techniques accessible to music scholars without extensive prior training in mathematics.



Exploring Musical Spaces is a comprehensive synthesis of mathematical techniques in music theory, written with the aim of making these techniques accessible to music scholars without extensive prior training in mathematics. The book adopts a visual orientation, introducing from the outset a number of simple geometric models-the first examples of the musical spaces of the book's title-depicting relationships among musical entities of various kinds such as notes, chords, scales, or rhythmic values. These spaces take many forms and become a unifying thread in initiating readers into several areas of active recent scholarship, including transformation theory, neo-Riemannian theory, geometric music theory, diatonic theory, and scale theory. Concepts and techniques from mathematical set theory, graph theory, group theory, geometry, and topology are introduced as needed to address musical questions. Musical examples ranging from Bach to the late twentieth century keep the underlying musical motivations close at hand. The book includes hundreds of figures to aid in visualizing the structure of the spaces, as well as exercises offering readers hands-on practice with a diverse assortment of concepts and techniques.

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Tonal Pitch Space

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Tonal pitch space presents a model of diatonic space that quantifies intuitions of the relative distances of pitches chords and keys the model assigns prolongational structure represents paths through the space and computers patterns of tension and attraction as musical events unfold building 2 - 3 weken .. MEER INFO

AK Peters/CRC Recreational Mathematics Series-The Geometry of Musical Rhythm

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The original edition of the geometry of musical rhythm was the first book to provide a systematic and accessible computational geometric analysis of the musical rhythms of the world it explained how the study of the mathematical properties of musical rhythm generates common mathematical problems th Uiterlijk 12 oktober in huis .. MEER INFO

Audacious Euphony Oxsmt C

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Prijs: 135.99 Nu voor: € 46.35

Music theorists have long believed that 19th century triadic progressions idiomatically extend the diatonic syntax of 18th century classical tonality and have accordingly unified the two repertories under a single mode of representation post structuralist musicologists have challenged this belief Op voorraad. Voor 23:59 besteld, morgen in huis .. MEER INFO

Taal: en

Bindwijze: Hardcover

Oorspronkelijke releasedatum: 21 december 2022

Aantal pagina's: 682

Hoofdauteur: Julian Hook

Hoofduitgeverij: Oxford University Press Inc

Product breedte: 187 mm

Product hoogte: 37 mm

Product lengte: 256 mm

Studieboek: Nee

Verpakking breedte: 187 mm

Verpakking hoogte: 37 mm

Verpakking lengte: 256 mm

Verpakkingsgewicht: 1406 g

EAN: 9780190246013

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