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If you're interested, this blog did a recent post that covers the first question with regard to major chords http://metinmediamath.wordpress.com/2014/03/16/overtones-what-they-are-and-how-to-compute-them/
As for the second question, I would hazard a guess that the circle of fifths could shed some light. However, these things are subjective, I happen to quite like the progression I -> III!
Thanks for your reply, I hadn't considered the link with the Baroque era tonality that's a really interesting comment.
Shame you had to endure it for your degree, I would not wish something like this on someone who hates it. Oh behalf of mathematicians: 'Sorry'.
I've been writing and performing poetry for a couple of years now, and i've certainly gotten better at the dealing with the feeling you describe. I found the more I performed and got audience feedback (not necessarily what people said to me after, but how I felt about the performance - you know when you're holding a room in the palm of your hand) I got a better handle on what's good or not. Poems I didn't mind, I started liking. Those I disliked but knew worked, I started to be proud of. I'm still my own harshest critic, but I let myself off the hook a bit more now.
Don't get me wrong I will always write quite a lot of shit poetry, and I'll always find myself crippled with anxiety if I've written and want to perform a piece outside my comfort zone, but I've made peace with that for now. I really hope you figure your way out of these feelings and find joy in your writing once again!
Wow, this is actually fantastic!
Upon the dawn, I hear the call...