Paran means rising at the same time as the planet; it is time oriented, rather than space oriented (like conjunction in zodiacal longitude or parallel in declination of latititude)
Personally I do not use the parans; with the stars I have always much preferred conjunction in longitude or parallel in declination, and I have used these very extensively and am very satisfied with the result of such uses. I am not knocking parans, which is a very ancient technique; just that I personally have not found them necessary when I use longitudinal conjunction or declinational parallel.
It does seem rather messy to work with so many different techniques, to be sure. Declinations I cant wrap my head around, so I gave up. Conjunctions to fixed stars definitely seem to work pretty well, i agree there.
The brady parans report is holding my interest though due to a timeline offered. I often wonder at how I will grow old, themes and such. A few things in my chart cause me concern. I will have saturn soon enter my 1st house by progression venus is currently there, and is ruler of my natal sun. Eventually they will conjunct, and saturn will hit the ascendant. At which point I think I will die, or become ill- which is fine, if that is the way its meant to go. Its a long way off still, and will be near my 2nd saturn return. Guess, I'm simply human and want to make sure I live the life that I want for myself before that time comes.
went off topic a bit, but the time periods are interesting in the paran report, I meant to say.