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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).
When the arc reaches 60°, the chord length is exactly equal to the number of degrees in the arc, i.e. chord 60° = 60. For arcs of more than 60°, the chord is less than the arc, until an arc of 180° is reached, when the chord is only 120. The fractional parts of chord lengths were expressed in sexagesimal (base 60) numerals. For example ...
A chord chart. Play ⓘ. A chord chart (or chart) is a form of musical notation that describes the basic harmonic and rhythmic information for a song or tune. It is the most common form of notation used by professional session musicians playing jazz or popular music.
In music theory, a major chord is a chord that has a root, a major third, and a perfect fifth. When a chord comprises only these three notes, it is called a major triad . For example, the major triad built on C, called a C major triad, has pitches C–E–G:
If two numbers are underlined, it is assumed that the chord values are even. In 4/4 time, that would mean the first chord would be played for two beats, and the second chord would be played for two beats. 2- 5 1 means a minor 2 chord for two beats, then a 5 chord for two beats, then a 1 chord for four beats. If the measure is not evenly divided ...
Chord diagrams are conventionally visualized by arranging the objects in their order around a circle, and drawing the pairs of the matching as chords of the circle. The number of different chord diagrams that may be given for a set of 2 n {\displaystyle 2n} cyclically ordered objects is the double factorial ( 2 n − 1 ) ! ! {\displaystyle (2n ...
An augmented triad results diatonically in minor mode from a dominant chord where the fifth (the second degree) is replaced by the third degree, as an anticipation of the resolution chord. Johannes Brahms 's Tragic Overture also features the chord prominently (A–C ♯ –E ♯ ), in alternation with the regular dominant (A–C ♯ –E).
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.