Two calls from from this number, one on Wednesday 2012-06-13 and one on Thursday 2012-06-14, I did not answer and let it ring (4 rings each).  Caller ID says "HIGHLANDS":

480-350-9607 @ 2012-06-13 - 11:24am - HIGHLANDS
480-350-9607 @ 2012-06-14 - 12:10pm - HIGHLANDS

This number is associated with "Sedona Pines Resort" and a Call Center:
http://www.pbphoenix.com/listings.php?category=32
http://glendale.jobing.com/company_profile.asp?i=42027

I suspect this might be the same scam organization that has been calling me constantly from a variety of numbers for nearly three months now, more detail and numbers in my posts here:

http://800notes.com/Phone.aspx/1-920-560-4999/7

Got another call from this number and another number on Monday 2012-06-18, I did not answer and let them ring (4 rings each):

480-350-9607 @ 11:45am - HIGHLANDS
732-807-5611 @ 05:02pm - HERTAG SVC

Yet another call from this number and another number today (Friday 2012-06-22), I did not answer and let them ring (4 to 6 rings each):

516-224-0062 @ 10:46am - ARTHRITIS INFO (new number for me with a familiar caller ID name)
480-350-9607 @ 12:30pm - HIGHLANDS

There's no doubt for me that these calls originate from the same organization.

These a-holes must have taken a break for the holiday (maybe not, based on all the people who got calls from 503-457-1792 on the 4th!), it's been quiet for the last several days, now it's starting up again.  I got two calls from this number and another number today (Thursday 2012-07-05), I did not answer and let them ring (4 to 5 rings each), one is new to my scam call rotation:

480-350-9607 @ 10:19am - HIGHLANDS
503-457-1792 @ 05:24pm - FINANCIAL CTR (completely new for me)

Unwanted Calls from 480-350-9607. I have no connection with Highlands or do I want to buy a time share.