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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).
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 ...
Guitarist performing a C chord with G bass. In music, a chord is a group of three or more notes played simultaneously, typically consisting of a root note, a third, and a fifth. [a] Chords are the building blocks of harmony and form the harmonic foundation of a piece of music. They can be major, minor, diminished, augmented, or extended ...
A secondary chord is an analytical label for a specific harmonic device that is prevalent in the tonal idiom of Western music beginning in the common practice period: the use of diatonic functions for tonicization. Secondary chords are a type of altered or borrowed chord, chords that are not part of the music piece's key.
The circle progression is commonly a succession through all seven diatonic chords of a diatonic scale by fifths, including one progression by diminished fifth, (in C: between F and B) and one diminished chord (in C major, B o), returning to the tonic at the end. A full circle of fifths progression in C major is shown below.
In tonal music, chord progressions have the function of either establishing or otherwise contradicting a tonality, the technical name for what is commonly understood as the "key" of a song or piece. Chord progressions, such as the extremely common chord progression I-V-vi-IV, are usually expressed by Roman numerals in
The ii, V and I remain, but in between are other chords (highlighted in yellow and blue) from the major thirds cycle centered around each I. Preceding the first chord of each major thirds cycle is its V chord. An earlier Coltrane piece, "Lazy Bird", also features two tonal centers a major third apart in its A section.
The diameter is the longest chord of the circle. Among all the circles with a chord AB in common, the circle with minimal radius is the one with diameter AB. If the intersection of any two chords divides one chord into lengths a and b and divides the other chord into lengths c and d, then ab = cd.