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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 ...
Chord diagrams are useful for showing relationships between entities and their relative magnitudes in comparison to alternative arcs. As a result, chord diagrams are popular in migration studies, economic flows, and genome studies. They have also been used to highlight unexplored relationships to help address the problem of filter bubbles. [2]
Chord diagram (music), a diagram showing the fingering of a chord on a guitar or other fretted musical instrument; Chord diagram (information visualization), a diagram showing a many-to-many relationship between objects as curved arcs within a circle; Chord diagram (mathematics), a circularly ordered set with a one-to-one pairing, often drawn ...
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.
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).
Musical symbols are marks and symbols in musical notation that indicate various aspects of how a piece of music is to be performed. There are symbols to communicate information about many musical elements, including pitch, duration, dynamics, or articulation of musical notes; tempo, metre, form (e.g., whether sections are repeated), and details about specific playing techniques (e.g., which ...
A similar example showing DS al CODA. Play ⓘ The notes are to be played in this order: G A B B C' A B C In music notation , dal segno ( UK : / d æ l ˈ s ɛ n j oʊ / , US : / d ɑː l ˈ s eɪ n j oʊ / , Italian: [dal ˈseɲɲo] ), often abbreviated as D.S. , is used as a navigation marker.
The term "chord chart" can also describe a plain ASCII text, digital representation of a lyric sheet where chord symbols are placed above the syllables of the lyrics where the performer should change chords. [6] Continuing with the Amazing Grace example, a "chords over lyrics" version of the chord chart could be represented as follows: