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Equal chords are subtended by equal angles from the center of the circle. A chord that passes through the center of a circle is called a diameter and is the longest chord of that specific circle. If the line extensions (secant lines) of chords AB and CD intersect at a point P, then their lengths satisfy AP·PB = CP·PD (power of a point theorem).
IV-V-I-VI chord progression in C major: 4: Major I–V–vi–IV: I–V–vi–IV chord progression in C: 4: Major I–IV– ♭ VII–IV: I–IV– ♭ VII–IV. 3: Mix. ii–V–I progression: ii–V–I: 3: Major ii–V–I with tritone substitution (♭ II7 instead of V7) ii– ♭ II –I: 3: Major ii-V-I with ♭ III + as dominant ...
Altered chord; Approach chord; Chord names and symbols (popular music) Chromatic mediant; Common chord (music) Diatonic function; Eleventh chord; Extended chord; Jazz chord; Lead sheet; List of musical intervals; List of pitch intervals; List of musical scales and modes; List of set classes; Ninth chord; Open chord; Passing chord; Primary triad ...
The I−vi−ii−V chord progression occurs as a two-bar pattern in the A section of the rhythm changes, [8] the progression based on George Gershwin's "I Got Rhythm". It can be varied as well: according to Mark Levine , "[t]oday's players usually play a dominant 7th chord rather than a minor 7th chord as the VI chord in a I-VI-II-V." [ 5 ]
These chords are all borrowed from the key of E minor. Similarly, in minor keys, chords from the parallel major may also be "borrowed". For example, in E minor, the diatonic chord built on the fourth scale degree is IVm, or A minor. However, in practice, many songs in E minor will use IV (A major), which is borrowed from the key of E major.
The parallel chord (but not the counter parallel chord) of a major chord will always be the minor chord whose root is a minor third down from the major chord's root, inversely the parallel chord of a minor chord will be the major chord whose root is a minor third up from the root of the minor chord.
By the inscribed angle theorem, the central angle subtended by the chord ¯ at the circle's center is twice the angle , i.e. (+). Therefore, the symmetrical pair of red triangles each has the angle α + β {\displaystyle \alpha +\beta } at the center.
The Grandmother chord is an eleven-interval, twelve-note, invertible chord with all of the properties of the Mother chord. Additionally, the intervals are so arranged that they alternate odd and even intervals (counted by semitones) and that the odd intervals successively decrease by one whole-tone while the even intervals successively increase by one whole-tone. [13]