Hello again,
Oriental means to rise before the Sun, occidental means to rise after the Sun. The qualities, significations and humoral qualities of the planets can change considerably according to whether they are oriental or occidental. For example, most planets gain in height and hair when oriental.
I know this definition, and I agree with it as long as we are aware of the meaning of it.
Also I know that sometime it can be confusing to change the terminology (that?s why I tried to explain it), but the reality is that along the history of astrology different astrologers used different terminology according with their understanding of the celestial phenomena.
There are many ways in which we can describe the phases of planets according to different use.
Two things remain important:
1. to have always in mind what is behind that terminology that we are using
2. to search for the meaning of different terminology of different ancient authors, i.e. to find what was implied by the use of certain terminology.
To come to your question.
I used the terminology of Paulus Alexandrinus and Olimpiodorus. Paulus and Olimpiodorus use this terminology, which is explained in the chapter 14 (and the annotations of Olimpiodorus to this chapter).
Why I was using this terminology if I have the common definitions?
1. Because in different Hellenistic texts there are different interpretations that imply this terminology (and this was the case in the fragment that I posted from Olimpiodorus).
2. It?s not useless. In fact I consider it to be one of the most articulated one because it reveals two important aspects of phases:
2.a the fact that there is a visual aspect of planets phases: to appear from the Sun beams, and to immerge into the Sun beams.
2.b. the fact that there are two main differentiation of planets in their phases: matutine/vespertine (or to use the common terminology: oriental/occidental).
One last thing. There is also a use in differentiating oriental/occidental from matutine/vespertine.
They insisted on oriental/occidental because it was important to determine if a certain planet is visible in the sky.
Matutine/vespartine couple is in fact a main differentiation of a planet in its phase. After this main classification it comes the enfolding of different stages in the phase of a planet (rising, setting, first station, second station and so on).