TBH I've never come across '3' time anywhere.
That was my point..... The upper number is how many beats per measure. The lower number is the note value that gets one beat. There is no such thing as a 1/3 note but it can be represented by traditional alterations such as dotted notes. Same with triplets, They all fit the space of 1/4, 1/8, 1/16 or whatever.
You will never hear 1/6 1/3, because they are traditionally something else.
If you tried to play a bar of 3/3, one of two things would happen.....
first off let's play it...
Tap Tap Tap ok, that sounds like 3/4 to me. But... what if the beat underlying was going thump thump thump thump in the same amount of time.
That would tell you it's 4/4 time. But you still only want to play three notes to fill up that space.
That is basically creating two rhythms and sounds like this...... http://www.youtube.com/watch?v=L2aX_2-vM2U&feature=endscreen&NR=1
but it is still not considered as x/3 for any reason.
My example of dotted quarters was not good. what I was trying to show was that everything relates to 1/4 notes but got my math wrong. Q. Q. = 1/4+1/8 1/4+1/8 = 3 Q notes I put too many notes in the bar.
Notice in the above YT example both sets of notes are 1/4 notes but have different lengths. That was the main point I was trying to make to the OP. the simply fact that not all quarter notes are equal ( even when play at the same time in poly rhythms. A quarter note is a relative basis from which you build your rhythm. x/3 is unnecessary as it's already available in the whole, half, quarter counting system we all use.
X = Beats per measure
y = note value that gets a beat ( typically 1/4, 1/8, 1/2 )
ETA: @mumbles..... it's not "notes" per bar. It's "beats" per bar. big difference.