The Hypoaeolian mode, literally meaning "below Aeolian", is the name assigned by Henricus Glareanus in his Dodecachordon (1547) to the plagal mode on A, which uses the diatonic octave species from E to the E an octave above, divided by the final into a second-species

Octave species

In early Greek music theory, an octave species is a sequence of incomposite intervals making up a complete octave...

 fourth

Perfect fourth

In classical music from Western culture, a fourth is a musical interval encompassing four staff positions , and the perfect fourth is a fourth spanning five semitones. For example, the ascending interval from C to the next F is a perfect fourth, as the note F lies five semitones above C, and there...

 (semitone–tone–tone) plus a first-species fifth

Perfect fifth

In classical music from Western culture, a fifth is a musical interval encompassing five staff positions , and the perfect fifth is a fifth spanning seven semitones, or in meantone, four diatonic semitones and three chromatic semitones...

 (tone–semitone–tone–tone): E F G A + A B C D E (Powers 2001). The tenor or reciting tone is C, mediant B, the participants are the low and high Es, the conceded modulations are G and D, and the absolute initials are E, G, A, B, and C (Rockstro 1880, 342).

For his plainchant examples Glarean proposed two important and well-known Gregorian melodies normally written with their finals on A: the antiphon Benedicta tu in mulieribus (traditionally designated as transposed Hypophrygian) and the gradual Haec dies—Justus ut palma (traditionally designated as transposed Hypodorian) (Powers 2001).

A polyphonic example of the Hypoaeolian mode is motet 19 from Palestrina's

Giovanni Pierluigi da Palestrina

Giovanni Pierluigi da Palestrina was an Italian Renaissance composer of sacred music and the best-known 16th-century representative of the Roman School of musical composition...

 Liber quartus of five-voice motets on the Song of Solomon

Song of Solomon

The Song of Songs of Solomon, commonly referred to as Song of Songs or Song of Solomon, is a book of the Hebrew Bible—one of the megillot —found in the last section of the Tanakh, known as the Ketuvim...

(Dickson 1937, 152).