In the plagal cadence the subdominant (IV) triad leads to the tonic (I).
The Ionian mode and its plagal counterpart, the Hypoionian, had their finalis on C.
Each authentic mode has a correlated plagal mode, which is identified by the prefix Hypo.
The Aeolian mode and its plagal counterpart, the Hypoaeolian mode, had their finalis on A.
The eight ēchoi of the Byzantine oktōēchos were divided into four authentic and four plagal (derived) forms.
Four principal types of harmonic cadence are identified in common practice: usually these are called authentic, half, plagal, and deceptive cadences.
The 12 modes of the Dodecachordon comprise authentic and plagal structures with tonal centres on the notes C, D, E, F, G, and A, without recourse to sharpened or flatted tones.
The growing complexity of polyphonic music caused the distinction between authentic and plagal modes to become more and more irrelevant, and, as a result, the number of modes was virtually reduced to only six.
The Locrian mode and its plagal (lower-register) counterpart, the Hypolocrian mode, existed in principal long before they were mentioned by the Swiss humanist Henricus Glareanus in his landmark music treatise Dodecachordon (1547).
Contrary to the Byzantine classification, which lists first the four authentic and then the four plagal modes, the Roman classification alternates the authentic and plagal modes, so modes with the same finalis follow each other.
The Byzantine arrangement of four authentic and four plagal ēchoi was probably inspired by an even earlier Syrian oktōēchos; whether the latter was, as some assert, a direct outgrowth of the ancient Greek modes remains uncertain, although the concept of mode itself had certainly been handed down from antiquity.
plagal
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The Byzantine arrangement of four authentic and four plagal ēchoi was probably inspired by an even earlier Syrian oktōēchos whether the latter was as some assert a direct outgrowth of the ancient Greek modes remains uncertain although the concept of mode itself had certainly been handed down from antiquity