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In the Eastern Orthodox Churches, Matins is called Orthros in Greek (Oútrenya in Slavonic) meaning "early dawn" or "daybreak". It is the last of the four night offices, which also include Vespers, Compline, and Midnight Office. In monasteries it is celebrated daily so as to end at sunrise. In the Greek parish tradition, Orthros is normally served just before the beginning of the Divine Liturgy on Sunday morning.
The Orthros Ordinary is the beginning section of the service that always remains the same. You can view and print the Ordinary at this link: http://www.ematins.org/bilingual/Ordinary.pdf. The remainder of the Orthros service changes each day in accordance with the Liturgical calendar. The changeable part of this service can be viewed and printed at this link: http://www.ematins.org/matins.htm.