Geodesic
Spectrum Projections in Musical-Mathematical Analysis
Zbornik radova, Tome 21 (2024) no. 29, p. 155

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

The text describes the method of rhythmic projections of the spectrum of harmonics, as well as the application of one of the most important isometric transformations to the projected metro-rhythmic entities of individual harmonics of the spectrum. It is a direct isometry called central rotation. The central rotation conditions the hemiol structuring of the meter. Hemioles are identified with regular and irregular geometric figures (primarily triangles) through the partition and composition (index) number of a specific spectral harmonic. The partition and composition of numbers dealt with by discrete mathematics, on the one hand, and the technique of horizontal hemioles, characteristic of the polyphony of the sub-Saharan region, on the other hand, served as a means of realizing the method by which the isometric transformation of the central rotation would be realized in (musical) time.
DOI : 10.18485/mi_sanu_zr.2024.29.21.ch10
Classification : 00A65
Keywords: Byzantium, Dragutin Gostuški, meter, microtonality, partition, Pythagoreans, rhythm, spectrum, Vlastimir Trajković, triangle 
Dragan Latinčić. Spectrum Projections in Musical-Mathematical Analysis. Zbornik radova, Tome 21 (2024) no. 29, p. 155 . doi: 10.18485/mi_sanu_zr.2024.29.21.ch10
@article{10_18485_mi_sanu_zr_2024_29_21_ch10,
     author = {Dragan Latin\v{c}i\'c},
     title = {Spectrum {Projections} in {Musical-Mathematical} {Analysis}},
     journal = {Zbornik radova},
     pages = {155 },
     year = {2024},
     volume = {21},
     number = {29},
     doi = {10.18485/mi_sanu_zr.2024.29.21.ch10},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.18485/mi_sanu_zr.2024.29.21.ch10/}
}
TY  - JOUR
AU  - Dragan Latinčić
TI  - Spectrum Projections in Musical-Mathematical Analysis
JO  - Zbornik radova
PY  - 2024
SP  - 155 
VL  - 21
IS  - 29
UR  - http://geodesic.mathdoc.fr/articles/10.18485/mi_sanu_zr.2024.29.21.ch10/
DO  - 10.18485/mi_sanu_zr.2024.29.21.ch10
LA  - en
ID  - 10_18485_mi_sanu_zr_2024_29_21_ch10
ER  - 
%0 Journal Article
%A Dragan Latinčić
%T Spectrum Projections in Musical-Mathematical Analysis
%J Zbornik radova
%D 2024
%P 155 
%V 21
%N 29
%U http://geodesic.mathdoc.fr/articles/10.18485/mi_sanu_zr.2024.29.21.ch10/
%R 10.18485/mi_sanu_zr.2024.29.21.ch10
%G en
%F 10_18485_mi_sanu_zr_2024_29_21_ch10

Cité par Sources :