In Search of Universal Properties of Musical Scales
Datos Bibliográficos
| ID | 5304397 |
|---|---|
| Autores | Aline Honingh (0000-0002-6721-1422, University of Amsterdam, autor de correspondencia), Rens Bod (University of Amsterdam) |
| Año | 2011 |
| Volumen | 40 |
| Número | 1 |
| Páginas | 81-89 |
| Fecha de publicación | 2011-03-01 |
| Peer Reviewed | Sí |
| Open Access | No |
| Tipo | ARTICLE |
| Revista | Journal of New Music Research (JOURNAL) |
| Identificadores de la revista | ISSN: 0929-8215 • E-ISSN: 1744-5027 |
| Editorial | Informa UK Limited (PUBLISHER • GB) |
| DOI | 10.1080/09298215.2010.543281 |
| OpenAlex | W2136484415 |
| Idioma | EN |
| Citas recibidas | 3 |
| Referencias citadas | 15 |
Musical scales have both general and culture-specific properties. While most common scales use octave equivalence and discrete pitch relationships, there seem to be no other universal properties. This paper presents an additional property across the world's musical scales that may qualify for universality. When the intervals of 998 (just intonation) scales from the Scala Archive are represented on an Euler lattice, 96.7% of them form star-convex structures. For the subset of traditional scales this percentage is even 100%. We present an attempted explanation for the star-convexity feature, suggesting that the mathematical search for universal musical properties has not yet reached its limits
Acoustics · Convexity · Musical · Physics · Pure mathematics · Computer Science · Mathematics · Music and Audio Processing · Musicology and Musical Analysis · Neuroscience and Music Perception
| Obras citantes distintas | 3 |
|---|---|
| Citas por año | 0,23 |
| Intervalo de citas | 2013 - 2023 (11) |
| Velocidad de citación | historical |
| Altamente citado | No |
| Tipos de cita | Neutras: 3 |