I'm a little pushed for time now, but will get back to you.
Firstly Bast, i greatly appreciate the trouble you have taken with this, and wish to thank you!
I'm not sure i should count them all but even the cardinal points are quintiles, and both the Sun and Moon are roughly equal distance apart with the M.C. in the middle...if i was to count all...probably 19 or 20 quintiles.
My career was in music...which probably doesn't surprise you.....however i only become aware of my quintiles about 10 years ago....please don't feel sorry, but i was stripped of my whole life, relationship, job, ability to walk and drive due to disability, as i rebuilt myself i found the quintiles, which was strange as i had studied Phi for years.
Please note i'm usaully polite, but i did write on the bbc open university forums about ancient philosophy, mathematics, and esoteric alignments of secret societies....to write this stuff on a science forum you must be prepared for heated debate, one that would try to get me going was a guy called William McCormick, who was always in other threads trying to call me a nut, ha ha! Anyhow he greatly admired Benjamin Frankin, which in reality i do, but got back at him by how many bodies were found in his London home in the last few years that date from the period....i do regret my comments!
Anyhow i'm just setting you up for showing the link, and explaining the heated exchanges, it shows some of my research on Phi, Mathematics and the Cosmos that may interest you as you are akin to Phi study, i start writing under "monk" from thread section #15, as usual you can change page at bottom there are 3 pages. Sometimes i like to promote astrology, as outside astrology forums most people consider us all nuts, which is a trifle hard as most countries are aligned to Sirius or Alnilam by electional astrology...perhaps i press the point a bit much on this thread ha ha!http://www.open2.net/forum/showthread.php?t=13507
Hopefully Maurice won't mind the link, the moderators have a rigid policy, so there isn't any bad language, infact you have to wait till the next day before your post is seen, they have a good look in what you are writing before showing it.
I'm writing a book at the moment however i keep on adding research so worry if i can complete it.