AbstractThe study presents some simple possibilities of symmetrical structures of the same principle either in small or large pieces of music.In part-whole relationships of musical manifestations there are symmetries in dynamics, rhythm, melody, harmony, tonality and form. It is one of the crucial tasks of music pedagogy to recognize and practice them in a creative way
In a way, mathematics can be generally described as a science that studies structure, relations, or...
This research studies the interaction among the following contexts: natural language, geometrical la...
Start with a single shape. Repeat it in some way—translation, reflection over a line, rotation arou...
AbstractThe study presents some simple possibilities of symmetrical structures of the same principle...
AbstractSymmetry plays a major role in Western music. The first portion of this discussion reveals h...
Introduction: the article presents a new methodological approach to the study of the musical text us...
Mathematics and Music - two dierent aspects of human creativity, seemingly belonging to separate are...
Research Doctorate - Doctor of Philosophy (PhD)There is a significant body of literature on the subj...
AbstractIn this contribution the author attempts to explain the differences between music and its vi...
20th-century Finnish composer Einojuhani Rautavaara’s fascination with symmetry played an integral r...
The central subject of this thesis is the application of the concepts of symmetry and proportion in ...
The history of the development of mathematics and the development of Western music unleashes fascina...
Symmetry in music has long been a preoccupation of mine. While many traditional forms incorporate so...
Popularized by Arnold Schoenberg in the mid-20th century, the method of twelve-tone composition prod...
Symmetry is a fundamental part of geometry, nature, and shapes. It creates patterns that help us org...
In a way, mathematics can be generally described as a science that studies structure, relations, or...
This research studies the interaction among the following contexts: natural language, geometrical la...
Start with a single shape. Repeat it in some way—translation, reflection over a line, rotation arou...
AbstractThe study presents some simple possibilities of symmetrical structures of the same principle...
AbstractSymmetry plays a major role in Western music. The first portion of this discussion reveals h...
Introduction: the article presents a new methodological approach to the study of the musical text us...
Mathematics and Music - two dierent aspects of human creativity, seemingly belonging to separate are...
Research Doctorate - Doctor of Philosophy (PhD)There is a significant body of literature on the subj...
AbstractIn this contribution the author attempts to explain the differences between music and its vi...
20th-century Finnish composer Einojuhani Rautavaara’s fascination with symmetry played an integral r...
The central subject of this thesis is the application of the concepts of symmetry and proportion in ...
The history of the development of mathematics and the development of Western music unleashes fascina...
Symmetry in music has long been a preoccupation of mine. While many traditional forms incorporate so...
Popularized by Arnold Schoenberg in the mid-20th century, the method of twelve-tone composition prod...
Symmetry is a fundamental part of geometry, nature, and shapes. It creates patterns that help us org...
In a way, mathematics can be generally described as a science that studies structure, relations, or...
This research studies the interaction among the following contexts: natural language, geometrical la...
Start with a single shape. Repeat it in some way—translation, reflection over a line, rotation arou...
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