Here's a piece of Byzantine chant in the first mode: https://www.youtube.com/watch?v=bHpOiX2sO-s

Byzantine chant divides an octave into 72 comas. The intervals for the diatonic first mode are 10-8-12-12-10-8-12, although this changes when descending. For more information, see http://www.kelfar.net/orthodoxiaradio/Diatonic.html

Edit: The hard chromatic scale is pretty funky: http://www.kelfar.net/orthodoxiaradio/HChromatic.html