In the Coptic rite do they not cycle through the Psalms? Psalmody takes precedence in my prayers. For feast days I often read the section on the particular Saint after I finish the body of prayers. I pray the psalms from the four week ordinary cycle and include the readings, intercession, and ending prayer from the common of seasons. On solemnities such as today (annunciation!!) I make an exception and take all the psalms, readings, intercessions, prayer, everything from either the common of saints or the section devoted to solemnities. However, psalms are the focus.
The Coptic Hours do not cycle through the Psalter as best I can tell. Each hour has twelve Psalms (an ancient monastic feature) as well as some Scripture readings and prayers. But some Psalms are repeated, and others are not used at all, in the course of the day. I suppose there's nothing stopping someone in his own private practice from figuring out a way to cycle through the Psalms in the book over the course of a week or two and incorporate the missing Psalms, but I don't know if there's an official way to do that. Maybe some Copts will read this and fill in the blanks for us.
I managed to do some investigating and found what looks like a precursor or to a single volume breviary in the Byzantine tradition, but rather incomplete: Byzantine Daily worship by Archbishop Joseph Raya, and Stamford's Divine Office, published by the Eparchy of Stamford. The latter looks incredibly difficult to find. I'm curious, is the Horologion universal to the Orthodox Church, or do different Rites or groups have different types or ways of praying it?
With the exception of the Western Rite communities, all Eastern Orthodox use the Byzantine rite, and so the Horologion is basically the same for everyone. There are local/regional variations, however, and some services are more popular in some regional traditions than others. But it wouldn't be entirely unfamiliar.
The Oriental Orthodox have several rites among the six or seven Churches in our communion, so while there are some broad similarities, there's a lot more difference than what EO are used to. When we pray together, it can be an adventure.
Considering the scarcity of these books, I take it it isn't the most common form of prayer. I saw that the Jordanville prayer book was a popular publication. Is that more commonly drawn from in daily prayer? Also what do you guys think of the Orthodox Study Bible published by St. Athanasius Academy? What's the binding like? I take it the cover on Amazon is a dust jacket.
Thanks for being patient with all my questions.
Depending on the tradition, the books are not scarce at all, though certain editions might be. But while the tradition of the Church is, obviously, the praying of the Office, not every tradition places an emphasis on this when it comes to the pastoral task of forming individuals into people of prayer. The EO in modern times gravitate toward prayer books like that of Jordanville because there are no complicated rubrics or anything like that: you can read the morning prayers, for instance, straight through or abbreviating them as appropriate to your needs. Though the daily services are often abbreviated to some extent, you need to know how to do them in full in order to know how and what to abbreviate, and then you still need several books. It's not as user friendly as a prayer book. But most OO traditions have an Office that is fairly easy to figure out, so we tend to stick to these services. Prayer books do exist, but even these are just extremely abridged forms of the Office.
I'll let others answer about the OSB: I do not own one or use one. There are bound to be at least two or three threads about it, if you can search for them.