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The scale originated in Nicolas Slonimsky's book Thesaurus of Scales and Melodic Patterns through the "equal division of one octave into two parts," creating a tritone, and the "interpolation of two notes," adding two consequent semitones after the two resulting notes. [15]
List of musical scales and modes Name Image Sound Degrees Intervals Integer notation # of pitch classes Lower tetrachord Upper tetrachord Use of key signature usual or unusual 15 equal temperament: 15-tet scale on C. Play ⓘ — — — 15 — — — 16 equal temperament: 16-tet scale on C. Play ⓘ — — — 16 — — 17 equal temperament ...
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.
The first known published instance of this scale is Jamey Aebersold's How to Play Jazz and Improvise Volume 1 (1970 revision, p. 26), and Jerry Coker claims that David Baker may have been the first educator to organise this particular collection of notes pedagogically as a scale to be taught in helping beginners evoke the sound of the blues. [4]
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 Byron).
"The number of the notes that make up a scale as well as the quality of the intervals between successive notes of the scale help to give the music of a culture area its peculiar sound quality." [6] "The pitch distances or intervals among the notes of a scale tell us more about the sound of the music than does the mere number of tones." [7]
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