To the question that is the topic:
You dissect it, analyze it, know it inside in out, play around with it for weeks and weeks and weeks and weeks before you even think about writing the piece, and understand how it works.
Then you start to write.
You have thirteen equal divisions of the octave. So divide 1200 by 13 and BAM = your "semitone" is 92.31 cents.
So C = 0, "D-flat" = 92.31, "D" = 184.62, "E-flat" = 276.92, "E" = 369.23, "E-sharp" = 461.54, "F" = 553.85, "F-sharp" = 646.15, "G" = 738.46, "G-sharp" = 830.77, "A" = 923.08, "A-sharp" = 1015.38, "B" = 1107.69. Of course, that's not how I would actually spell the pitches.
But yeah, the only way to know how it works, what to do with it, etc. is to play around with it.
If you need more help understanding and getting into microtonal music, PM me. I'd be happy to help.
All of that is wrong -- execept for the fact that you wrote a piece using that system that may or may not sound "ugly".
Carrillio's "Thirteenth Sound" is multiple divisions of the whole-tone -- third-, quarter-, fifth-, sixth-, seventh-, eighth-, nineth-, tenth-, eleventh-, twelvth-, etc. (if I'm not mistaken, he seemed to favor dividing the whole-tone into sixteen parts, so sixteenth-tones, or 96tET, yup, 96 divisions of the octave, not 13). It's called the "Thirteenth Sound" because it goes outside of 12 divisions of the octave. Its not 13tET.