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The harmonic scale is a "super-just" musical scale allowing extended just intonation, beyond 5-limit to the 19th harmonic (Play ⓘ), and free modulation through the use of synthesizers. Transpositions and tuning tables are controlled by the left hand on the appropriate note on a one-octave keyboard.
The Guqin Scale of harmonics on the Moodswinger Scale of harmonics on C. Play ⓘ The scale of harmonics is a musical scale based on the noded positions of the natural harmonics existing on a string. [citation needed] This musical scale is present on the guqin, regarded as one of the first string instruments with a musical scale. [1]
In music, 53 equal temperament, called 53 TET, 53 EDO, or 53 ET, is the tempered scale derived by dividing the octave into 53 equal steps (equal frequency ratios) (Play ⓘ). Each step represents a frequency ratio of 2 1 ∕ 53 , or 22.6415 cents ( Play ⓘ ), an interval sometimes called the Holdrian comma .
A scale-step triad is designated by an uppercase Roman numeral representing the scale degree of the root, much as in traditional "harmonic analysis" (see chord progression). [2] Thus, in the above example (which is in G major), the G major triad that Schenker claims we perceive through the first two measures would be labelled "I". However ...
The harmonic major scale has its own set of modes, distinct from the harmonic minor, melodic minor, and major modes, depending on which note serves as the tonic.Below are the mode names, their degrees, and the following seventh chords that can be built using each modal tonic or degree of the parent mode as the root: a major seventh chord, a half-diminished seventh chord, a minor seventh chord ...
12 EDO has a very good approximation for the perfect fifth (third harmonic), especially for such a small number of steps per octave, but compared to the equally-tempered versions in 12 EDO, the just major third (fifth harmonic) is off by about a sixth of a step, the seventh harmonic is off by about a third of a step, and the eleventh harmonic ...
In music, 22 equal temperament, called 22-TET, 22-EDO, or 22-ET, is the tempered scale derived by dividing the octave into 22 equal steps (equal frequency ratios). Play ⓘ Each step represents a frequency ratio of 22 √ 2, or 54.55 cents (Play ⓘ). When composing with 22-ET, one needs to take into account a variety of considerations.
The fourth harmonic vibrates at four times the frequency of the fundamental and sounds a perfect fourth above the third harmonic (two octaves above the fundamental). Double the harmonic number means double the frequency (which sounds an octave higher). An illustration in musical notation of the harmonic series (on C) up to the 20th harmonic.