New Horizons in Terminology

I play around a lot with microtones in class when I probably shouldn’t. My counterpoint students, for some reason (and they’re not the first class to do so) find the Picardy third hilarious. One day I ended a three-part counterpoint in aeolian with a major third, A-C#, and they laughingly objected. So I offered to split the difference with them and made it a quarter-tone C half-sharp (a lovely 11/9 interval). I played the result with Sibelius’s pitch-bend plug-in, and it was deliciously sour. One student immediately dubbed it the “Picardy turd.”