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The augmented fourth (A4) occurs naturally between the fourth and seventh scale degrees of the major scale (for example, from F to B in the key of C major). It is also present in the natural minor scale as the interval formed between the second and sixth scale degrees (for example, from D to A ♭ in the key of C minor). The melodic minor scale ...
Augmented-fourths tunings have extended range. Because each of its tritone-intervals between successive strings is wider than the perfect-fourth intervals (and one major third) of standard tuning, augmented-fourths tunings have greater range than standard tuning—six additional notes, only one less note than Robert Fripp's new standard tuning.
An augmented chord is one which contains an augmented interval, almost invariably the 5th of the chord. An augmented triad is a major triad whose fifth has been raised by a chromatic semitone; it is the principal harmony of the whole tone scale. For example, the D ♭ augmented triad contains the notes D ♭ —F—A.
By a commonly used definition of diatonic scale [b] (which excludes the harmonic minor and melodic minor scales), all perfect, major and minor intervals are diatonic. Conversely, no augmented or diminished interval is diatonic, except for the augmented fourth and diminished fifth. A ♭-major scale
The Lydian scale can be described as a major scale with the fourth scale degree raised a semitone, making it an augmented fourth above the tonic; e.g., an F-major scale with a B ♮ rather than B ♭. That is, the Lydian mode has the following formula:
With augmented-fourths tunings, the fretboard has greatest symmetry. [22] In fact, every augmented-fourths tuning lists the notes of all the other augmented-fourths tunings on the frets of its fretboard. Professor Sethares wrote that "The augmented-fourth interval is the only interval whose inverse is the same as itself.
Diminished fourth, a perfect fourth narrowed by a chromatic semitone, thus spanning four semitones; Augmented fourth or tritone, an interval of three adjacent whole tones (six semitones) In addition, fourth in music may refer to: Quartal harmony, harmonic structures built from the perfect fourth, the augmented fourth and the diminished fourth
This is often interpreted as a quartal hexachord consisting of an augmented fourth, diminished fourth, augmented fourth, and two perfect fourths.The chord is related to other pitch collections, such as being a hexatonic subset of the overtone scale, also known in jazz circles as the Lydian dominant scale, lacking the perfect fifth.