February 26th, 2014, 10:56 AM  #101 
Math Team Joined: Jul 2011 From: North America, 42nd parallel Posts: 3,321 Thanks: 215  Re: PreQ&A
Ah , so it is a variant of the Fibbonacci Sequence mod 5 , taking different starting values mod 5 with the first two terms equal. Very nice! So the starting values are 1 1 2 2 3 3 4 4 1 1 etc. but you switched positions of 2 2 , 3 3 and 4 4. One of the things i tried (after reading about the pentatonic scale online) was to let G = 1 or G = 6 but alas it did not occur to me to shift the numerical values of the notes. P.S. This is the way the Q & A should be IMHO. The question poster posts the answer after about a day , unless more time is asked for in which case an additional day is given , this way we don't have to wait weeks before we get a new question. 
February 26th, 2014, 04:30 PM  #102 
Math Team Joined: Apr 2012 Posts: 1,579 Thanks: 22  Re: PreQ&A
The order of the lead elements is itself determined by the Fibonacci series!
