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For instance, the above-mentioned C major scale contains the tritones F–B (from F to the B above it, also called augmented fourth) and B–F (from B to the F above it, also called diminished fifth, semidiapente, or semitritonus); [2] the latter is decomposed as a semitone B–C, a whole tone C–D, a whole tone D–E, and a semitone E–F ...
The augmented-fourth interval is the only interval whose inverse is the same as itself. The augmented-fourths tuning is the only tuning (other than the 'trivial' tuning C-C-C-C-C-C) for which all chords-forms remain unchanged when the strings are reversed. Thus the augmented-fourths tuning is its own 'lefty' tuning." [2]
[1] [3] For instance, the interval from C to E is a major third, four semitones wide, and both the intervals from C ♭ to E, and from C to E ♯ are augmented thirds, spanning five semitones. Being augmented, it is considered a dissonant interval. [4] Its inversion is the diminished sixth, and its enharmonic equivalent is the perfect fourth.
The augmented fourth (A4) is the only augmented interval that appears in diatonic scales (in D ♭ major it occurs between G ♭ and C). The standard abbreviations for augmented intervals are AX, such that an augmented third = A3. [7]
C2–F ♯ 2–C3–F ♯ 3–C4–F ♯ 4 and B1–F1–B2–F3–B3–F4 etc. Between the all-fifths and all-fourths tunings are augmented-fourth tunings, which are also called "diminished-fifths" or "tritone" tunings. It is a repetitive tuning that repeats its notes after two strings. With augmented-fourths tunings, the fretboard has ...
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.
The extremes of the meantone systems encountered in historical practice are the Pythagorean tuning, where the whole tone corresponds to 9:8, i.e. (3:2) 2 / 2 , the mean of the major third (3:2) 4 / 4 , and the fifth (3:2) is not tempered; and the 1 ⁄ 3-comma meantone, where the fifth is tempered to the extent that three ...
Identical intervals notated with different (enharmonically equivalent) written pitches are also referred to as enharmonic. The interval of a tritone above C may be written as a diminished fifth from C to G ♭, or as an augmented fourth (C to F ♯). Representing the C as a B ♯ leads to other enharmonically equivalent options for notation.