Larxene wrote:My understanding is that one will be the primary time lord, while the other will be the secondary time lord, depending on which authorities one follows.
Well, some of them do say explicitly that the two are equal.
I understand this, I just want to focus on the primary time lord, regardless of which version we are using.
I sympathize with your wish to keep it simple, though personally I think they need to be combined.
There. That's what I needed to know. I'll work on the mechanics later. Just to clarify, what is "mixed" ascension"?
As the name suggests, it's a sort of sliding scale between right and oblique ascension. If you were born exactly at sunrise, you will direct your Sun by OA because it is on the horizon; if you were born exactly at noon, it is on the meridian and you will direct it by RA. But if you were born at any time between those two positions, you need to work out an intermediate way of directing. The idea is to bring the promissor (or the beginning degree of the terms) with the primary motion into the same proportional relation to both the horizon and the meridian as the significator (here, the Sun) had at birth.
I see! Now I understand. The "number of degrees that passes through the MC" is the rising time, and rising times are an approximation of oblique ascension.
More or less.

Ascensions/rising times are calculated in degrees along the celestial equator, not along the ecliptic like planetary longitudes. (This is because the equator marks the direction of the apparent rotation of the celestial sphere, that is, the rotation of the earth around its axis.) The equatorial degrees will cross the meridian (MC) at exactly the same speed as the horizon, so measuring at the meridian is just a convention.
The number of equatorial degrees rising together with a zodiacal sign is its rising time, and this is the same as its extension in OA for that location. It only becomes an approximation when we start assuming that the rising time can be evenly divided by 30 to get the rising times for each degree of the sign (because the beginning and the end of a sign will actually rise at different speeds).
Correct me if I am wrong, but I believe we can find the difference between right ascension and oblique ascension in degrees by subtracting the peak altitude of a star or point from the zenith of the local horizon?
Er... Pass.

Too difficult for me to visualize on a Monday morning! The usual way of finding this difference (the ascensional difference, AD) is based on the declination of the star/point and the geographical latitude (or 'pole height') of the place. The pole height, of course, refers to the local zenith.
If my hunch is correct, this figures into the calculation of the time period, correct?
The AD gives the difference between directing in right and oblique ascensions, yes. For mixed ascensions, as I said, it has to be adjusted along a sliding scale.
Basically, I mixed up something. How the time is measured (oblique ascension, right ascension, etc) depends NOT on the divisor or promissor, but rather it depends on the significator!
Let's rather say it depends on the point that is kept astronomically fixed (while the other point moves with the primary motion). In a direct direction, the significator (in the traditional sense of the word) will be fixed point; but in a converse direction, it is the promissor that is kept fixed. But directions through the terms are always done in direct motion.