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A troparion (Greek , plural: troparia, ; Georgian, "tropari" Church Slavonic?, tropar) in Byzantine music and in the religious music of Eastern Orthodox Christianity is a short hymn of one stanza, or organised in more complex forms as series of stanzas.
The word probably derived from a diminutive of the Greek tropos ("something repeated", "manner", "fashion"), since the earliest function of the troparion was a refrain during the recitation of the cantica (biblical odes) and the psalms, as such the term was used as a synonym of hypakoe. The early meaning of troparion was related to the monastic hymn book Tropologion or Troparologion. Hence its forms were manifold, they could be simple stanzas like apolytikia, theotokia, but also more elaborated homiletic poems like stichera composed in psalmodic hexameters (probably from stichos, "verse"), or in a more complex meter like the odes composed in cycles called canon. Since these Tropologia in their earliest form were organised according to the Octoechos, troparia were always chanted according to a melos of one of the eight tones used in the Eastern liturgical tradition (Gr. echos, Sl. glas). Today, since the redefinition of the Octoechos according to the hyphos of Constantinople, the monodic form of Orthodox chant distincts the troparic (apolytikia, theotokia, kontakia etc.), the heirmologic (related to the hymns of the Heirmologion), and the sticheraric melos (related to the hymns of the Sticherarion) according to its modal formulas and its tempo.
In casual, unqualified use, troparion usually refers to the apolytikion (Greek?), or "dismissal hymn", a troparion chanted near the end of Vespers which establishes the overall theme for the liturgical day, for which it is called the "troparion of the day". It is chanted again at the beginning of Matins, read at each of the Little Hours, and chanted at the Divine Liturgy following the Little Entrance.
A troparion in honor of the Trinity is called a Triadicon (Greek: , Slavonic: Troíchen). Often the penultimate in a series of troparia will be a triadicon, usually preceded by, "Glory to the Father, and to the Son, and to the Holy Spirit." There are also special Triadica ("Hymns to the Trinity") which are chanted after Alleluia at the beginning of Matins on weekdays of Great Lent, which differ according to the tone of the week and the day of the week.
A troparion to the Mother of God (Theotokos) is called a Theotokion (Greek: , Slavonic: Bogor?dichen); plural: Theotokia (). Theotokia will often occur at the end of a series of troparia, usually preceded by "Both now and ever, and unto the ages of ages. Amen." If a Theotokion makes reference to the Crucifixion of Jesus, it is called a stavrotheotokion (Greek: , Slavonic: krestobogoródichen).
A famous example, whose existence is attested as early as the 4th century, is the Vespers hymn, Phos Hilaron, "Gladsome Light"; another, O Monogenes Yios, "Only Begotten Son", ascribed to Justinian I (527 - 565), occurs in the introductory portion of the Divine Liturgy. Perhaps the earliest set of troparia of known authorship are those of the monk Auxentios (first half of the 5th century), mentioned in his biography but not preserved in any later Byzantine order of service.
At the present time, Troparia occur at the following points in the Divine Services:
Troparion of the Holy Cross, Tone I:
*In monarchies where Eastern Orthodoxy was the state religion, this troparion was often used as a national anthem with the name of the ruler occurring here.
The original Greek text at this point uses one of two alternative forms: tois basileusi kata barbaron, "to the Emperors over the barbarians" when referring to an Orthodox Christian sovereign, or tois eusebesi kat' enantion, "to the pious ones against their adversaries", otherwise.
Troparion of Holy Saturday (The Noble Joseph), Tone II:
"Axion Estin", a theotokion
Troparion of the Nativity (in Church Slavonic language):