Concepedia

Set-class Equivalence

Set-Class Equivalence is an equivalence relation in music theory that partitions pitch-class sets into set-classes based on transpositional and inversional symmetry, whereby two sets are considered equivalent if one can be transformed into the other through transposition, inversion, or both.

8

Publications

297

Citations

10

Authors

10

Institutions

Publications per year

2017–2026

1

Parents

Publications

8

Connected components of sets of finite perimeter and applications to image processing

Luigi Ambrosio, Vicent Caselles, Simon Masnou et al. · Journal of the European Mathematical Society · 2001 · 170 citations · Full text

, , +14

Relations between certain classes of sets in Banach spaces

Mathematical Notes · 1986 · 39 citations

, , +8

Set Groups, Complementation, and Mappings among Pitch-Class Sets

Robert Morris · Journal of Music Theory · 1982 · 27 citations

, , +9

Defining Modular Transformations

Matthew Santa · Music Theory Spectrum · 1999 · 17 citations

, , +10

Equivalent Structures on Sets: Equivalence Classes, Partitions and Fiber Structures of Functions

May Hamdan · Educational Studies in Mathematics · 2006 · 12 citations

, , +16

1–5 of 8

Authors

10

  1. RM
    Robert Morris

    Instituto Nacional de Matemática Pura e Aplicada, Brazil

    2 publications · 38 citations

    2

    h-index

  2. LA
    Luigi Ambrosio

    Scuola Normale Superiore, Italy

    1 publications · 170 citations

    1

    h-index

  3. JM
    Jordi Massó

    Universitat Autònoma de Barcelona, Spain

    1 publications · 11 citations

    1

    h-index

  4. MH
    May Hamdan

    Lebanese American University, Lebanon

    1 publications · 12 citations

    1

    h-index

  5. SM
    Simon Masnou

    Institut Camille Jordan, France

    1 publications · 170 citations

    1

    h-index

1–5 of 10

Institutions

10

  1. Universitat Pompeu Fabra

    Barcelona, Spain

    1 h-index

    1 publications

    170 citations

  2. Universitat Autònoma de Barcelona

    Cerdanyola del Vallès, Spain

    1 h-index

    1 publications

    11 citations

  3. Scuola Normale Superiore

    Pisa, Italy

    1 h-index

    1 publications

    170 citations

  4. École Normale Supérieure Paris-Saclay

    Gif-sur-Yvette, France

    1 h-index

    1 publications

    170 citations

  5. National University of San Luis

    San Luis, Argentina

    1 h-index

    1 publications

    11 citations

  6. Barcelona School of Economics

    Barcelona, Spain

    1 h-index

    1 publications

    11 citations

  7. Ithaca College

    Ithaca, United States

    1 h-index

    1 publications

    10 citations

  8. Consejo Nacional de Investigaciones Científicas y Técnicas

    Buenos Aires, Argentina

    1 h-index

    1 publications

    11 citations

1–8 of 10

Venues

  1. Educational Studies in Mathematics

    1 publications · 12 citations

    1

    h-index

  2. Music Theory Spectrum

    1 publications · 17 citations

    1

    h-index

  3. American Economic Journal Microeconomics

    1 publications · 11 citations

    1

    h-index

  4. Journal of Music Theory

    1 publications · 27 citations

    1

    h-index

  5. Journal of the European Mathematical Society

    JEMS · 1 publications · 170 citations

    1

    h-index

1–5