Two Musical Paths to the Farey Series and Devil’s Staircase (Articolo in rivista)

Type

• Prodotto della ricerca (Classe)
• Articolo in rivista (Classe)

Label

• Two Musical Paths to the Farey Series and Devil’s Staircase (Articolo in rivista) (literal)

Anno

• 2010-01-01T00:00:00+01:00 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi

• 10.1080/17459737.2010.485001 (literal)

Alternative label

• Cartwright JHE; Douthett J; Gonzalez D L; Krantz R; and Piro O (2010)
  Two Musical Paths to the Farey Series and Devil’s Staircase
  in Journal of mathematics & music (Print)
  (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori

• Cartwright JHE; Douthett J; Gonzalez D L; Krantz R; and Piro O (literal)

Pagina inizio

• 57 (literal)

Pagina fine

• 74 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url

• http://www.informaworld.com (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume

• 4 (literal)

Rivista

• Journal of mathematics & music (Rivista)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali

• 18 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo

• 1 (literal)

Note

• ISI Web of Science (WOS) (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni

• Instituto Andaluz de Ciencias de la Tierra, CSIC-Universidad de Granada, E-18071 Granada, Spain; University of New Mexico, 5044 Rockcress Drive NW, Albuquerque, NM 87120, USA; cIstituto IMM-CNR, Area della Ricerca CNR di Bologna, I-40129, Bologna, Italy; Department of Physics, Metropolitan State College, Denver, CO 80217, USA; Department de Fisica, Universitat de les Illes Balears, E-07071 Palma de Mallorca, Spain (literal)

Titolo

• Two Musical Paths to the Farey Series and Devil’s Staircase (literal)

Abstract

• At the 2007 Helmholtz Workshop in Berlin, two seemingly disparate papers were presented. One of these, by Julyan Cartwright, Diego González, and Oreste Piro, dealt with a nonlinear dynamical model for pitch perception based on frequency ratios and forced oscillators, while the other, by Jack Douthett and Richard Krantz, focused on musical scales, maximally even (ME) sets, and their relationship to the one-dimensional antiferromagnetic Ising model. Both these approaches lead to a fractal structure involving Farey series known as a devil's staircase. Why is this? What is the connection between them? The ME sets approach is related to the Ising model of statistical physics; on the other hand, the forced oscillator model relates to the circle map of dynamical systems. Thus we find ourselves facing a deeper question: what are the links between these two paradigms, the Ising model and the circle map, that are fundamental to statistical physics on the one hand and to dynamical systems on the other? Here we present the two halves of the work side by side, so that (literal)

Prodotto di

• Institute for microelectronics and microsystems (IMM) (Istituto)
• Sviluppo di Modelli Fisici, Simulazioni e Tecniche di Caratterizzazione per le Nanoscienze (MD.P05.004.001) (Modulo)

Autore CNR

• DIEGO LUIS GONZALEZ (Persona)

Insieme di parole chiave

• Keywords of "Two Musical Paths to the Farey Series and Devil’s Staircase" (Insieme di parole chiave)

Incoming links:

Autore CNR di

• DIEGO LUIS GONZALEZ (Persona)

Prodotto

• Institute for microelectronics and microsystems (IMM) (Istituto)
• Sviluppo di Modelli Fisici, Simulazioni e Tecniche di Caratterizzazione per le Nanoscienze (MD.P05.004.001) (Modulo)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#rivistaDi

• Journal of mathematics & music (Rivista)

Insieme di parole chiave di

• Keywords of "Two Musical Paths to the Farey Series and Devil’s Staircase" (Insieme di parole chiave)