Rivers and Paths

Documentation for Blog:  Rivers of Music Flowing into our Mind (January 27, 2015)

TENSION:

Krumhansl, C. L. and Lehrdal, F. (2010) Musical tension. In F. Bacci and D, Melcher (Eds.). Arts and the Senses. Oxford University Press http://music.psych.cornell.edu/articles/emotion/Bacci%20and%20Melcher-Ch-16.pdf

ANIMAL EMOTION AND TRAVERSE:

Behan, K. (2013). Why We Like Sad Music: Part Two – Music, Natural Dog Training, Panksepp and the Constructal Law. Blog Sep 27, 2013
http://naturaldogtraining.com/blog/why-we-like-sad-music-part-two/

AESTHETIC EMOTION:

www.ncbi.nlm.nih.gov/…

National Center for Biotechnology Information
by L Perlovsky – ‎2014 – ‎Cited by 1 – ‎Related articles

Feb 11, 2014 – A huge number of publications are devoted to aesthetic emotions; Google Scholar gives 319,000 references. Nevertheless, finding a definition …

  • en.wikipedia.org/wiki/Aesthetic_emotions

    Wikipedia

    Aesthetic emotions refer to emotions that are felt during aesthetic activity and/or appreciation. These emotions may be of the everyday variety (such as fear, …

GRAPH THEORY AND QUATERNIONS:
GILLES BAROIN

Published on Mar 14, 2012

Extract of the main movie:
From Circle to Hyperspheres, when Tonnetze go 4D

ACT 5 FOUR DIMENSIONS :
THE PLANET-4D PITCH AND CHORDAL SPACE
We now visualize the pitch space in a true four-dimensional space, by projecting it into our 3D space and letting it rotate around two 4D Axes. The same rotating ball that symbolize the current position, never moves while the models rotates. Thanks to this technique, the model appears to be deforming within a 3D sphere. That reinforces the feelings of symmetry for the spectator.

http://youtu.be/MGCIPZyaiuw

DISSERTATION ABSTRACT:

Soutenance de thèse de Gilles Baroin – LLA Creatis

lla-creatis.univ-tlse2.fr/…/com.univ....

University of Toulouse II – Le Mirail

Title : Applications of graph theory to musical objects. Modeling, visualization in hyperspace. Key words : Symmetry, Mathematics, Music, Hypersphere, Pitch …

 

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