Father, what about Matins?
I think there's a lot of confusion with the terms used...
Most Coptic Churches refer to "the Raising of Morning Incense" as "Matins".... And refer to both the 11th hour prayer and "the Raising of Evening Incense" as Vespers. From what I've heard, and I may be wrong, what Eastern Orthodox call Matins and Vespers is more similar to the Coptic Evening, Midnight, and Morning Praise, which is something again different from the Raising of Incense and the Canonical Hours...
The 7 Canonical Hours are prayed in the monasteries daily, in the churches on days when the Raising of Incense and Liturgy are both prayed, and all or some subset of the hours are prayed by the laity at home when they don't pray them at Church. No priest is required. The 11th hour is one of the 7 and is called Vespers.
The Vespers (or Evening) Praise, the Midnight Praise, and the Doxology of Prime are prayed daily in most monasteries, are often but not always prayed in the churches on Sundays and some subset of other days, and are sometimes prayed at home by the laity, again, no priest is required.
Vespers and Matins (or the Raising of Evening and Morning Incense) are prayed in the Church at the Altar, and require a priest. Morning Incense used to be prayed before the Liturgy, especially on days when the Liturgy is late in the day due to fasting. But now it is almost always attached to the Liturgy since people can't commute to Church twice in most cases. The Morning Incense is always prayed if there is a Liturgy, but the Evening Incense is often omitted, especially on weekdays (it is usually prayed on most Saturdays in most Churches).
So it's really confusing that there is something called "Vespers" in all three when trying to find good equivalent English terms for the services.
If everything is being prayed, for example on a Sunday, Vespers Praise will be prayed, then Vespers from the Book of the Hours is prayed (along with the 9th and 12th hours as well), then Vespers (or the Raising of Evening Incense) is prayed.
Then the Midnight Hour is prayed, followed by the Midnight Praise (which most closely parallels EO Vespers/Matins).
Then in the morning, the Prime hour of the Book of Hours is prayed, followed by the Doxology of Prime (or Morning Praise) is prayed, followed the Raising of Morning Incense (or Matins), followed by the 3rd and 6th hours of the Book of the Hours, followed by the Liturgy.... Very confusing and overlapping terminology.