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In modern academia, music theory is a subfield of musicology, the wider study of musical cultures and history. Music theory is often concerned with abstract musical aspects such as tuning and tonal systems, scales, consonance and dissonance, and rhythmic relationships. In addition, there is also a body of theory concerning practical aspects ...
The four voices ( SATB) each follow independent melodic lines (with some differences in rhythm) that together create a chord progression ending on a Phrygian half cadence. Voice leading (or part writing) is the linear progression of individual melodic lines ( voices or parts) and their interaction with one another to create harmonies, typically ...
The fundamental concept of musical set theory is the (musical) set, which is an unordered collection of pitch classes. [4] More exactly, a pitch-class set is a numerical representation consisting of distinct integers (i.e., without duplicates). [5] The elements of a set may be manifested in music as simultaneous chords, successive tones (as in ...
The New System of Musical Theory (French: Nouveau système de musique théorique) published in 1726, is the second treatise on musical theory written by the composer Jean-Philippe Rameau. [1] [2] Rameau wrote the work four years after the publication of his first theoretical work, the Treatise on Harmony Reduced to its Natural Principles ...
Music theory analyzes the pitch, timing, and structure of music. It uses mathematics to study elements of music such as tempo, chord progression, form, and meter. The attempt to structure and communicate new ways of composing and hearing music has led to musical applications of set theory, abstract algebra and number theory .
In music, modulation is the change from one tonality ( tonic, or tonal center) to another. This may or may not be accompanied by a change in key signature (a key change ). Modulations articulate or create the structure or form of many pieces, as well as add interest.
Many other ancient authors refer to what is nowadays called psychological effect of music and draw judgments for the appropriateness (or value) of particular musical features or styles, while others, in particular Philodemus (in his fragmentary work De musica) and Sextus Empiricus (in his sixth book of his work Adversus mathematicos), deny that ...
Diatonic set theory. Diatonic set theory is a subdivision or application of musical set theory which applies the techniques and analysis of discrete mathematics to properties of the diatonic collection such as maximal evenness, Myhill's property, well formedness, the deep scale property, cardinality equals variety, and structure implies ...
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