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An augmented triad is a chord, made up of two major thirds (an augmented fifth). The term augmented triad arises from an augmented triad being considered a major chord whose top note (fifth) is raised. When using popular-music symbols, it is indicated by the symbol "+" or "aug". For example, the augmented triad built on A ♭, written as A ...
The diminished triad can be used to substitute for the dominant seventh chord. In major scales, a diminished triad occurs only on the seventh scale degree. For instance, in the key of C, this is a B diminished triad (B, D, F). Since the triad is built on the seventh scale degree, it is also called the leading-tone triad.
The terms quartal and quintal imply a contrast, either compositional or perceptual, with traditional harmonic constructions based on thirds: listeners familiar with music of the common practice period are guided by tonalities constructed with familiar elements: the chords that make up major and minor scales, all in turn built from major and minor thirds.
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For the English guitar the open chord is C major (C–E–G–C–E–G); [67] for the Russian guitar which has seven strings, G major (G–B–D–G–B–D–G). [ 68 ] [ 69 ] [ 70 ] Mixing a perfect fourth and a minor third along with a major third, these tunings are on-average major-thirds regular-tunings.
For instance, the notation C/E bass indicates a C major triad in first inversion i.e. a C major triad with an E in the bass. Likewise the notation C/G bass indicates that a C major chord with a G in the bass (second inversion). See figured bass for alternate method of notating specific notes in the bass.
That same E might be harmonized with a C major chord (C – E – G), making it the third of the chord. This concept extends to ninths (E would act as the 9th if harmonized with a Dm7 chord – D – F – A – C – E), ♯ fifths (E would act as ♯ 5 on an A ♭ augmented chord – A ♭ – C – E), and a wide array of other options.
C7 is transpositionally equivalent to the F ♯ 7, the leading tones resolve inversionally (E-B ♭ resolves to F-A, A ♯-E resolves to B-D ♯) Play F-C7-F, F-F ♯ 7-F, B-F ♯ 7-B, then B-C7-B ⓘ The tritone substitution is a common chord substitution found in both jazz and classical music.