chrisrxth

The links are much appreciated. Thanks! The social network article is especially detailed , glad you pointed it out.

Funny, I was thinking of the exact same example of modeling diffusion of innovations when you edited your post to include that. Using a social network, you could simulate the diffusion of information about a product from the starting point of an advertisement. So theoretically, you could highly optimize your ad campaign to target just the right people that will spread the word of your product the farthest.

PS: Something like this, with more mathematics applied. http://www.scalerator.com/

I'd be interested to see how these convex structures relate to neural patterns... I'm sure these shapes some how mathematically can be traced back to the structure of the neural connection patterns that are fired when we hear these scales.

This idea of scales being the basic patterns that music is based on also reminds of color schemes - scales seem to be to hearing as color schemes are to vision.

Ha put that together and... web app idea! A scale generator for musicians just like the color scheme generators that we have for web designers. :P