I think the first layer ring is the actual call setup being attempted across the cellular network. Once the receiving phone is located and receives the signal that a call is incoming, you begin to hear the second layer ring.
It's the telecom equivalent of the loading pinwheel.
Most of the PBX/VoIP systems I've worked on (North and South America) provide one arbitrarily to give the caller the warm and fuzzies, regardless of what's actually happening to that call leg.
j/k
The "ringer" tone is to let you know the call is going through, and in the case of you calling a cell phone, that the network is trying to connect to your callee.
A cell phone gets a signal to play it's ringtone, not a "ring now"..."ring now"... on / off signal. Did you expect to hear my ringtone on your end?
I also recommend that you read the community guidelines here -- http://ycombinator.com/newsguidelines.html
On a slightly related note, I wonder why some cell phone service providers are dishonest about a "ringer-tone" (for lack of a better word). The other day in a poor cell reception area I placed my friend's AT&T phone next to mine and dialed her number from my AT&T phone. From my phone we could hear the other phone "ring", however my friend's phone wasn't actually ringing. It then went to voicemail after a few rings.
I found it very strange since this is not how cell phones connect in India, for example. I wouldn't have heard the other phone "ring" if it weren't actually ringing on an Indian cell phone service provider.