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Chordal graphs are perfectly orderable: an optimal coloring may be obtained by applying a greedy coloring algorithm to the vertices in the reverse of a perfect elimination ordering. [7] The chromatic polynomial of a chordal graph is easy to compute. Find a perfect elimination ordering v 1, v 2, …, v n.
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.
I–V–vi–IV chord progression in C: 4: Major I–IV ... This page was last edited on 3 February 2025, at 04:45 (UTC).
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; Quartal chord ...
The concept of harmonic function originates in theories about just intonation.It was realized that three perfect major triads, distant from each other by a perfect fifth, produced the seven degrees of the major scale in one of the possible forms of just intonation: for instance, the triads F–A–C, C–E–G and G–B–D (subdominant, tonic, and dominant respectively) produce the seven ...
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 ...
In the first graph, the 8-cycle has odd edges 3-6 and 2-7, and the 6-cycles each also have one of those two edges as an odd edge. In the second graph, the two red edges need to be added, one so that the 8-cycle has an odd edge, and the other to make an odd chord for the 6-cycle formed by the newly inserted edge.
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).