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Comparison of equal-tempered (black) and Pythagorean (green) intervals showing the relationship between frequency ratio and the intervals' values, in cents. Pythagorean tuning is a system of musical tuning in which the frequency ratios of all intervals are determined by choosing a sequence of fifths [2] which are "pure" or perfect, with ratio .
Diatonic scale. In music theory, a diatonic scale is any heptatonic scale that includes five whole steps (whole tones) and two half steps (semitones) in each octave, in which the two half steps are separated from each other by either two or three whole steps, depending on their position in the scale. This pattern ensures that, in a diatonic ...
The Ionian mode is a musical mode or, in modern usage, a diatonic scale also called the major scale.It is named after the Ionian Greeks.. It is the name assigned by Heinrich Glarean in 1547 to his new authentic mode on C (mode 11 in his numbering scheme), which uses the diatonic octave species from C to the C an octave higher, divided at G (as its dominant, reciting tone/reciting note or tenor ...
A chromatic mediant relationship defined conservatively is a relationship between two sections and/or chords whose roots are related by a major third or minor third, and contain one common tone (thereby sharing the same quality, i.e. major or minor). For example, in the key of C major the diatonic mediant and submediant are E minor and A minor ...
Melodies can be based on a diatonic scale and maintain its tonal characteristics but contain many accidentals, up to all twelve tones of the chromatic scale, such as the opening of Henry Purcell's "Thy Hand, Belinda" from Dido and Aeneas (1689) with figured bass), which features eleven of twelve pitches while chromatically descending by half steps, [1] the missing pitch being sung later.
The diatonic circle of fifths is the circle of fifths encompassing only members of the diatonic scale. Therefore, it contains a diminished fifth, in C major between B and F. See structure implies multiplicity. The circle progression is commonly a circle of fifths through the diatonic chords, including one diminished chord.
Mixolydian mode. Mixolydian mode may refer to one of three things: the name applied to one of the ancient Greek harmoniai or tonoi, based on a particular octave species or scale; one of the medieval church modes; or a modern musical mode or diatonic scale, related to the medieval mode. (The Hypomixolydian mode of medieval music, by contrast ...
A musical scale is a series of pitches in a distinct order. The concept of "mode" in Western music theory has three successive stages: in Gregorian chant theory, in Renaissance polyphonic theory, and in tonal harmonic music of the common practice period. In all three contexts, "mode" incorporates the idea of the diatonic scale, but differs from ...