Alright - we all know what a time signature is and the basic elements that allow us to form compound time signatures and poly rhythms. We all also know what a hemiola is (either a transfer from a duplet emphasis to triplet emphasis on the same rythm scheme). The only hemiola transfer form that i have heard is the basic 6/4 consisting of 12 duplet emphasized eighth notes transforming into 12/8 triplet emphasized eighth notes, but what if you put the duple count in an irregular time signature such as 7/8 and then used a hemiola transfer?! ex) (parentheses are the down beat, commas end a measure) 7/8 duple: (1)2(3)4(5)6(7), 1(2)3(4)5(6)7, (1) -the basic 7/8 we know where the riff goes exactly off beat causing the riff to have to cycle twice before returning to the down beat, but watch when you keep the eighth notes the same magnitude but switch from duple count to triple count- (1)2(3)4(5)6(7), 1(2)3(4)5(6)7, (1)23(4)56(7), 12(3)45(6)7, 1(2)34(5)67, (1) - this time signature that lasts for seven beats but it was a cycle of three measures! the rhythm does not go off by 1/2, instead the rhythm is 1/3 off beat, then 2/3 off beat, and then returns to the down beat. This surly could not be called a 7/8 beat, but would make more mathematical sense to be called 7/12 sense the quarter note is divided into three parts (1/3)*(1/4)=1/12. But the nomenclature does not matter, just the cool idea of a hemiola with a compound time signature.