A Geometry of Music

Tymoczko, D. (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

Link

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

Cited from

mathematics

Cited by

2 citations across 2 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

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