Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tonal consonance parameters link microscopic and macroscopic properties
  of music exposing a hidden order in melody   Consonance is related to the perception of pleasantness arising from a
combination of sounds and has been approached quantitatively using mathematical
relations, physics, information theory, and psychoacoustics. Tonal consonance
is present in timbre, musical tuning, harmony, and melody, and it is used for
conveying sensations, perceptions, and emotions in music. It involves the
physical properties of sound waves and is used to study melody and harmony
through musical intervals and chords. From the perspective of complexity, the
macroscopic properties of a system with many parts frequently rely on the
statistical properties of its constituent elements. Here we show how the tonal
consonance parameters for complex tones can be used to study complexity in
music. We apply this formalism to melody, showing that melodic lines in musical
pieces can be described in terms of the physical properties of melodic
intervals and the existence of an entropy extremalization principle subject to
psychoacoustic macroscopic constraints with musical meaning. This result
connects the human perception of consonance with the complexity of human
creativity in music through the physical properties of the musical stimulus.

13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn