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In Euclidean geometry, the intersecting chords theorem, or just the chord theorem, is a statement that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal. It is Proposition 35 of Book 3 of Euclid's Elements.
As their categorical name suggests, extended chords indeed extend seventh chords by stacking one or more additional third-intervals, successively constructing ninth, eleventh, and finally thirteenth chords; thirteenth chords contain all seven notes of the diatonic scale. In closed position, extended chords contain dissonant intervals or may ...
A guitarist performing a C chord with G bass. In Western music theory, a chord is a group [a] of notes played together for their harmonic consonance or dissonance.The most basic type of chord is a triad, so called because it consists of three distinct notes: the root note along with intervals of a third and a fifth above the root note. [1]
In music theory, an interval is a difference in pitch between two sounds. [1] An interval may be described as horizontal, linear, or melodic if it refers to successively sounding tones, such as two adjacent pitches in a melody, and vertical or harmonic if it pertains to simultaneously sounding tones, such as in a chord.
For tiny arcs, the chord is to the arc angle in degrees as π is to 3, or more precisely, the ratio can be made as close as desired to π / 3 ≈ 1.047 197 55 by making θ small enough. Thus, for the arc of 1 / 2 °, the chord length is slightly more than the arc angle in degrees. As the arc increases, the ratio of the chord to ...
Added tone chord notation is useful with seventh chords to indicate partial extended chords, for example, C 7add 13, which indicates that the 13th is added to the 7th, but without the 9th and 11th. The use of 2, 4, and 6 rather than 9, 11, and 13 indicates that the chord does not include a seventh unless explicitly specified.
I-vi-ii-V turnaround in G [1] Play ⓘ. I-vi-ii-V turnaround with approach chords in G Play ⓘ. I-vi-ii-V turnaround in F Play ⓘ. Approach chords in F Play ⓘ. [2]In music, an approach chord (also chromatic approach chord and dominant approach chord) is a chord one half-step higher or lower than the goal, especially in the context of turnarounds and cycle-of-fourths progressions, for ...
A closely related key can be defined as one that has many common chords. A relative major or minor key has all of its chords in common; a dominant or subdominant key has four in common. Less closely related keys have two or fewer chords in common. For example, C major and A minor have 7 common chords while C major and F ♯ major have 0 common ...