Greek Mixolydian
The idea of a Mixolydian mode comes from the music theory of ancient Greece. The ancient Greek Mixolydian mode was invented by Sappho, the 7th century B.C. poet and musician. However, what the ancient Greeks thought of as Mixolydian was very different from the modern interpretation of the mode.
In Greek theory, the Mixolydian tonos (the term "mode" is a later Latin term) employs a scale (or 'octave species') corresponding to the Greek Hypolydian mode inverted: in its diatonic genus, this is a scale descending from paramese to hypate hypaton: in the diatonic genus, a whole tone (paramese to mese) followed by two conjunct inverted Lydian tetrachords (each being two whole tones followed by a semitone descending). This diatonic genus of the scale is roughly the equivalent of playing all the 'white notes' of a piano from B to B, or B | A G F E | (E) D C B, which is also known as modern Locrian mode. (In the chromatic and enharmonic genera, each tetrachord consists of a minor third plus two semitones, and a major third plus two quarter-tones, respectively).
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