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The augmented scale, also known in jazz theory as the symmetrical augmented scale, [3] is so called because it can be thought of as an interlocking combination of two augmented triads an augmented second or minor third apart: C E G ♯ and E ♭ G B. It may also be called the "minor-third half-step scale", owing to the series of intervals produced.
A tape diagram is a rectangular visual model resembling a piece of tape, that is used to assist with the calculation of ratios and addition, subtraction, and commonly multiplication. It is also known as a divided bar model, fraction strip, length model or strip diagram.
"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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The size of an interval between two notes may be measured by the ratio of their frequencies.When a musical instrument is tuned using a just intonation tuning system, the size of the main intervals can be expressed by small-integer ratios, such as 1:1 (), 2:1 (), 5:3 (major sixth), 3:2 (perfect fifth), 4:3 (perfect fourth), 5:4 (major third), 6:5 (minor third).
<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 ...
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The pitch collection is related to the octatonic scale, the whole tone scale, and the French sixth, all of which are capable of a different number of transpositions. [4] For example, the chord is a whole tone scale with one note raised a semitone (the "almost whole-tone" hexachord , sometimes identified as "whole tone-plus"), and this ...