Mental Reality

Guerino Mazzola; Maria Mannone; Yan Pang; Margaret O’Brien; Nathan T Torunsky

doi:10.1007/978-3-319-47334-5_5

Mental Reality

Guerino Mazzola, Maria Mannone, Yan Pang, Margaret O’Brien, Nathan T Torunsky

Music (Twin Cities)

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

We have seen how music lives in the physical reality and in the mechanisms of human perception and emotion. In this chapter, we will discuss how music lives in the symbolic dimension of score notation, the tuning spaces, and their mathematical symmetries for harmony and counterpoint.

Original language	English (US)
Title of host publication	Computational Music Science
Publisher	Springer Nature
Pages	49-56
Number of pages	8
DOIs	https://doi.org/10.1007/978-3-319-47334-5_5
State	Published - 2016

Publication series

Name	Computational Music Science
ISSN (Print)	1868-0305
ISSN (Electronic)	1868-0313

Bibliographical note

Funding Information:
Although music was understood as a symbolic field since the Pythagorean tradition in ancient Greece, the French philosopher René Descartes (Figure 5.1) claimed that music needs a psychological foundation. In his compendium musicae (1618) [14], he explains eight fundamental rules for making and understanding music, such as “music must be simple to please the soul.” In recent times, the mental reality of music has been rediscovered, and has been supported by the work of mathematician Leonhard Euler. In this chapter, we will discuss the mental reality of music that complements (and sometimes contradicts) physical and psychological aspects.

Publisher Copyright:
© 2016, Springer International Publishing AG.

Keywords

Chromatic Scale
Euler Space
Hide Symmetry
Musical Score
Symbolic Dimension

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10.1007/978-3-319-47334-5_5

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AU - Mannone, Maria

AU - Pang, Yan

AU - O’Brien, Margaret

AU - Torunsky, Nathan T

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KW - Hide Symmetry

KW - Musical Score

KW - Symbolic Dimension

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Mental Reality

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