A Geometry of Music

Dmitri Tymoczko, '. (2011). A Geometry of Music: Harmony and Counterpoint in the Extended Common Practice, p.30. Oxford University Press.

Type

Book

Intellectual base

Review or monograph

Year

2011

DOI

10.1093/acprof:oso/9780195336672.001.0001

DOI registrant

Oxford University Press

Link

https://doi.org/10.1093/acprof:oso/9780195336672.001.0001

Cited from

mathematics

Cited by

3 citations across 3 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Group
  • In music theory, transposition and inversion form a dihedral group, and Neo-Riemannian operations form a finite group.

    This sourceTreats transposition and inversion as a dihedral group (the T/I group ≅ D24) and Neo-Riemannian operations as a group acting on chords.

Domain-specific

• Musical Interval
  • The relation may include direction, register, acoustic frequency ratio or logarithmic size, diatonic number and quality, and tonal or set-theoretic function.

    This sourceDevelops geometrical and transformational representations of pitch, interval, chord, and voice-leading relations.

• Pitch class
  • … identity and a convenient observable transfers from A canonical instance directly demonstrates that members differ by an integer number of octaves under the declared tuning and enharmonic convention. to An applied instance preserves the same invariant under a changed scale, notation, jurisdiction, or implementation..

Verification

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Does it back the claim? Not recorded. Neither this nor any other of the 3 citations of this work carries a recorded support check.

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Links previously used in the corpus

Before the registry existed this work was also linked 1 other way.

• https://global.oup.com/academic/product/a-geometry-of-music-9780195336672 ×1

Registry ID ref:6838124df128 · see in the full table