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In music and music theory, a hexatonic scale is a scale with six pitches or notes per octave. ... For example, A minor triad and B flat augmented triad.
Coordinate charts are mathematical objects of topological manifolds, and they have multiple applications in theoretical and applied mathematics. When a differentiable structure and a metric are defined, greater structure exists, and this allows the definition of constructs such as integration and geodesics .
Example of Hauer's tropes. [8] Play ⓘ. Allen Forte in The Structure of Atonal Music [9] redefines the term hexachord to mean what other theorists (notably Howard Hanson in his Harmonic Materials of Modern Music: Resources of the Tempered Scale [10]) mean by the term hexad, a six-note pitch collection which is not necessarily a contiguous segment of a scale or a tone row.
This image is a copy or a derivative work of txu-pclmaps-oclc-8322829_d_6.jpg, from the map collection of the Perry–Castañeda Library (PCL) of the University of Texas at Austin. This tag does not indicate the copyright status of the attached work.
This tritone relationship between possible resolutions is important to Scriabin's harmonic language, and it is a property shared by the French sixth (also prominent in his work) of which the synthetic chord can be seen as an extension. The example below shows the mystic chord rewritten as a French sixth with notes A and D as extensions:
<3,0,3,6,3,0> "Ode-to-Napoleon" hexachord [ 1 ] in prime form [ 2 ] In music , the "Ode-to-Napoleon" hexachord (also magic hexachord [ 3 ] and hexatonic collection [ 4 ] or hexatonic set class ) [ 5 ] is the hexachord named after its use in the twelve-tone piece Ode to Napoleon Buonaparte Op. 41 (1942) by Arnold Schoenberg (setting a text by ...
In the azimuthal system, strike and dip are often given as "strike/dip" (for example: 270/15, for a strike of west and a dip of 15 degrees below the horizontal). Trend and plunge are used for linear features, and their symbol is a single arrow on the map.
Modes of limited transposition are musical modes or scales that fulfill specific criteria relating to their symmetry and the repetition of their interval groups. These scales may be transposed to all twelve notes of the chromatic scale, but at least two of these transpositions must result in the same pitch classes, thus their transpositions are "limited".
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