by 
zappabeef
ANSWERS: 3
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No. You wouldn't write it like that. It would be written as 13/8. If you had 6 quarter notes that would equal 12 eights. Adding another half a beat would be 13 eights. Since you can't write in the time signature 6.5/4 or 61/2/4 change the denominator to show eights as one beat. 13/8
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Supermegarockstar is mostly right. The top number can be pratically ANYTHING as long as the bottom number is an exponent of 2. (1,2,4,8,16.32 etc.) The farther away from "whole numbers" it gets, the harder to notate and play. Percy Grainger (and others wrote pieces in 51/2/4 (5-and-a-half-over-4) and so on. (Stravinksy, Revueltas, lots of other modernists as well) In your case 11/8 would be easier to visualize (as well as to conduct and to play in). It could be grouped into 5 beats of eighth notes (3+2+2+2+2) with one beat slightly longer than the other 4 beats. Or possibly 4 beats using (3+3+3+2) with one beat being slightly shorter than the other 3. Lots of interesting possibilities! Much of Greek folk music is in "odd" meters, 7/8, 11/8 and so on -- fun listening!
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Mathematically yes! l. 6.5/4=(13/2)/4=13/8 2. Therefore there can be 13 beats per measure and the eighth note gets one beat. 3. There is music that has such a time signature in unusual time signatures.
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