The complex use of tonal consonance in music: microscopic and macroscopic rules in harmony and melody

Abstract: This thesis contributes to the understanding of the connection between the tonal consonance phenomenon and the rules associated to the construction of musical pieces. It begins from the tonal consonance properties of sounds and ends with the emergence of macroscopic phenomena. The systems...

Descripción completa

Detalles Bibliográficos
Autor: Useche Ramírez, Jorge Eduardo
Tipo de recurso: tesis doctoral
Estado:Versión aceptada para publicación
Fecha de publicación:2019
País:Colombia
Institución:Universidad Nacional de Colombia
Repositorio:Repositorio UN
Idioma:español
OAI Identifier:oai:repositorio.unal.edu.co:unal/77001
Acceso en línea:https://repositorio.unal.edu.co/handle/unal/77001
http://bdigital.unal.edu.co/74145/
Access Level:acceso abierto
Palabra clave:Consonance
Marimba de chonta
Melody
Musical interval
Entropy
Sec-co recitative
Tuning
Afinación
Consonancia
Entropía
Intervalo musical
Melodía
Recitativo secco
Descripción
Sumario:Abstract: This thesis contributes to the understanding of the connection between the tonal consonance phenomenon and the rules associated to the construction of musical pieces. It begins from the tonal consonance properties of sounds and ends with the emergence of macroscopic phenomena. The systems studied are: the marimba de chonta music, melodic lines of Western music, and secco recitatives of operas. At the microscopic level, we show how tonal consonance connects the timbre of marimba de chonta with traditional tunings and musical practices. At this level, we also extended the traditional concept of interval size, and we used chords as the unit of analysis for the harmony of secco recitatives. On the macroscopic level, we found that the new representation of intervals, together with an entropy extremalization principle, is suitable for approximately reproducing the selection of intervals in melodic lines. Besides, a conserved macroscopic quantity emerges, which is empirically related to the mean dissonance of a melodic line, hence connecting psychoacoustics with complexity.