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In music theory, Roman numeral analysis is a type of harmonic analysis in which chords are represented by Roman numerals, which encode the chord's degree and harmonic function within a given musical key. Specific notation conventions vary: some theorists use uppercase numerals (e.g.
A binary black hole (BBH), or black hole binary, is a system consisting of two black holes in close orbit around each other. Like black holes themselves, binary black holes are often divided into binary stellar black holes , formed either as remnants of high-mass binary star systems or by dynamic processes and mutual capture; and binary ...
Pitch axis theory refers to a way of thinking about chord progressions and modes, that was heavily used and popularized (though not invented) by the guitarist Joe Satriani. [ 1 ] When composing using this concept, the pitch axis is simply a chosen note (a specific pitch), which is thought of as the tonic for a sequence of chords , which must ...
The Oxford Companion to Music describes three interrelated uses of the term "music theory": The first is the "rudiments", that are needed to understand music notation (key signatures, time signatures, and rhythmic notation); the second is learning scholars' views on music from antiquity to the present; the third is a sub-topic of musicology ...
Transformational theory is a branch of music theory developed by David Lewin in the 1980s, and formally introduced in his 1987 work, Generalized Musical Intervals and Transformations. The theory—which models musical transformations as elements of a mathematical group —can be used to analyze both tonal and atonal music .
Before either (1960–67), Elliott Carter had produced a numbered listing of pitch class sets, or "chords", as Carter referred to them, for his own use. [ 5 ] [ 6 ] Donald Martino had produced tables of hexachords , tetrachords , trichords , and pentachords for combinatoriality in his 1961 article, "The Source Set and its Aggregate Formations".
In music theory, a tetrachord (Greek: τετράχορδoν; Latin: tetrachordum) is a series of four notes separated by three intervals.In traditional music theory, a tetrachord always spanned the interval of a perfect fourth, a 4:3 frequency proportion (approx. 498 cents)—but in modern use it means any four-note segment of a scale or tone row, not necessarily related to a particular tuning ...
Musical set theory provides concepts for categorizing musical objects and describing their relationships. Howard Hanson first elaborated many of the concepts for analyzing tonal music. [2] Other theorists, such as Allen Forte, further developed the theory for analyzing atonal music, [3] drawing on the twelve-tone theory of Milton Babbitt.