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The size of an interval between two notes may be measured by the ratio of their frequencies.When a musical instrument is tuned using a just intonation tuning system, the size of the main intervals can be expressed by small-integer ratios, such as 1:1 (), 2:1 (), 5:3 (major sixth), 3:2 (perfect fifth), 4:3 (perfect fourth), 5:4 (major third), 6:5 (minor third).
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; Root (chord) Seventh chord; Synthetic chord; Thirteenth chord; Tone cluster; Triad (music) Upper structure
Seventh chords are tertian chords, constructed by adding a fourth note to a triad, at the interval of a third above the fifth of the chord. This creates the interval of a seventh above the root of the chord, the next natural step in composing tertian chords.
Mixed-interval chords from the opening to Arnold Schoenberg's Klavierstück Op. 33a [1] (Play ⓘ). In music a mixed-interval chord is a chord not characterized by one consistent interval. Chords characterized by one consistent interval, or primarily but with alterations, are equal-interval chords.
An interval is inverted by raising or lowering either of the notes by one or more octaves so that the higher note becomes the lower note and vice versa. For example, the inversion of an interval consisting of a C with an E above it (the third measure below) is an E with a C above it – to work this out, the C may be moved up, the E may be lowered, or both may be moved.
By contrast, a minor triad has a minor third interval on the bottom and major third interval on top. They both contain fifths, because a major third (four semitones) plus a minor third (three semitones) equals a perfect fifth (seven semitones). Chords that are constructed of consecutive (or "stacked") thirds are called tertian.
The words derive from Latin words meaning "large" and "small," and were originally applied to the intervals between notes, which may be larger or smaller depending on how many semitones (half-steps) they contain. Chords and scales are described as major or minor when they contain the corresponding intervals, usually major or minor thirds.
The intervals between the notes of a chromatic scale are listed in a table, in which only the emboldened intervals are discussed in this article's section on fundamental chords; those intervals and other seventh-intervals are discussed in the section on intermediate chords. The unison and octave intervals have perfect consonance. Octave ...