### Abstract

Original language | English |
---|---|

Place of Publication | Enschede |

Publisher | University of Twente, Faculty of Mathematical Sciences |

Number of pages | 6 |

Publication status | Published - 2001 |

### Publication series

Name | Memorandum / Department of Applied Mathematics |
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Publisher | University of Twente, Faculty of Mathematical Sciences |

No. | 1573 |

ISSN (Print) | 0169-2690 |

### Fingerprint

### Keywords

- IR-65760
- EWI-3393
- MSC-05C12
- MSC-05C75
- MSC-05C90

### Cite this

*Graph theoretic aspects of music theory*. (Memorandum / Department of Applied Mathematics; No. 1573). Enschede: University of Twente, Faculty of Mathematical Sciences.

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*Graph theoretic aspects of music theory*. Memorandum / Department of Applied Mathematics, no. 1573, University of Twente, Faculty of Mathematical Sciences, Enschede.

**Graph theoretic aspects of music theory.** / Althuis, T.A.; Göbel, F.

Research output: Book/Report › Report › Other research output

TY - BOOK

T1 - Graph theoretic aspects of music theory

AU - Althuis, T.A.

AU - Göbel, F.

N1 - Imported from MEMORANDA

PY - 2001

Y1 - 2001

N2 - The cycle on twelve points is a well-known representation of the twelve pitch classes of the traditional scale. We treat a more general situation where the number of pitch classes can be different from twelve and where, moreover, other measures of closeness are taken into account. We determine all situations for which the Generalized Hexachord Theorem continues to hold.

AB - The cycle on twelve points is a well-known representation of the twelve pitch classes of the traditional scale. We treat a more general situation where the number of pitch classes can be different from twelve and where, moreover, other measures of closeness are taken into account. We determine all situations for which the Generalized Hexachord Theorem continues to hold.

KW - IR-65760

KW - EWI-3393

KW - MSC-05C12

KW - MSC-05C75

KW - MSC-05C90

M3 - Report

T3 - Memorandum / Department of Applied Mathematics

BT - Graph theoretic aspects of music theory

PB - University of Twente, Faculty of Mathematical Sciences

CY - Enschede

ER -