Dear mmikayil!
I like your proposal very much! Since I read about the scale free scales and networks I was often thinking about how the music and the steps between its notes is a scale free network, and how it is connected to other scale, such as stock charts, forex rates, energy consumption, etc.
I have never have enough motivation to work on this problem, but if you select me on this project that will give me the needed motivation and I think I came out with a nice solution for your proposal.
Best,
Gergely