Concepedia

Generalized Interval Systems

Generalized Interval Systems is a formal theoretical framework in post-tonal music theory that mathematically defines intervallic relationships between pitch or pitch-class elements within a given space, distinguished by its use of group-theoretic structures to generalize interval measurement across diverse musical contexts.

72

Publications

3.5K

Citations

116

Authors

81

Institutions

Publications per year

2017–2026

8

Parents

Publications

72

Generalized Musical Intervals and Transformations

James Hearne, David Lewin · Computer Music Journal · 1988 · 492 citations

, , +12

Systems of linear interval equations

Linear Algebra and its Applications · 1989 · 376 citations

, , +9

Topics in Interval Analysis

James S. Vandergraft, Ernst Albin Hansen · Mathematics of Computation · 1970 · 186 citations · Full text

, , +5

Hybrid Particle Swarm Optimization Combined With Genetic Operators for Flexible Job-Shop Scheduling Under Uncertain Processing Time for Semiconductor Manufacturing

Thitipong Jamrus, Chen–Fu Chien, Mitsuo Gen et al. · IEEE Transactions on Semiconductor Manufacturing · 2017 · 162 citations

, , +16

A Formal Theory of Generalized Tonal Functions

David Lewin · Journal of Music Theory · 1982 · 149 citations

, , +15

1–5 of 72

Authors

116

  1. DL
    David Lewin

    University of California, Los Angeles, United States

    6 publications · 884 citations

    6

    h-index

  2. AG
    Alexandre Goldsztejn

    Nantes Université, France

    3 publications · 35 citations

    3

    h-index

  3. TC
    Ting‐Yu Chen

    Chang Gung University, Taiwan

    2 publications · 141 citations

    2

    h-index

  4. HM
    Helena Myšková

    Technical University of Košice, Slovakia

    2 publications · 84 citations

    2

    h-index

  5. MW
    Ming-Daw Wang

    Feng Chia University, Taiwan

    2 publications · 50 citations

    2

    h-index

1–5 of 116

Institutions

81

  1. Laboratoire d'informatique de Nantes Atlantique

    Nantes, France

    3 h-index

    4 publications

    45 citations

  2. Georgia Institute of Technology

    Atlanta, United States

    2 h-index

    3 publications

    49 citations

  3. Chang Gung University

    Taoyuan City, Taiwan

    2 h-index

    2 publications

    141 citations

  4. Feng Chia University

    Taichung, Taiwan

    2 h-index

    4 publications

    100 citations

  5. Alzahra University

    Tehran, Iran

    2 h-index

    3 publications

    36 citations

  6. Charles University

    Prague, Czechia

    2 h-index

    2 publications

    103 citations

  7. Technical University of Košice

    Košice, Slovakia

    2 h-index

    2 publications

    84 citations

  8. The University of Texas at San Antonio

    San Antonio, United States

    1 h-index

    1 publications

    16 citations

1–8 of 81

Venues

  1. Linear Algebra and its Applications

    6 publications · 615 citations

    6

    h-index

  2. Journal of Music Theory

    5 publications · 293 citations

    5

    h-index

  3. Journal of Mathematics and Music

    4 publications · 94 citations

    4

    h-index

  4. Music Theory Spectrum

    4 publications · 132 citations

    4

    h-index

  5. Journal of Mechanical Design

    2 publications · 35 citations

    2

    h-index

1–5