I guess my favorite time sig is 5/4...
non-musicians that dont know any better dont usually REALIZE when something is in a time other than 4/4 (standard) time... nor will they recognize when 4/4 and 5/4 are being mixed, say one instrument in 4/4 and the OTHER istrument in 5/4 or 6/4...
...but they DO PERCEIVE that "something" is "going on"... they just cant put their finger on it.
the phrase "simple, yet somehow complex" will come out of their mouths...
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NOW, if you REALLY wanna get jiggy with it?
say it with me... "Polyrhythm". hee hee...
thats a reason i love composing on a computer... it allows one to set up and experiment with polyrhythms with ease...
the classic example of polyrhythm is as follows...
ONE instrument or melody line is doing "3 time", IE, 1....2....3 each measure.
BUT, another instrument or melody line is doing "4 time", IE, 1..2..3.. 4 each measure
this is represented as "4:3 poly" (or, 3:4 poly...) and it is interesting to not that every 12 measures (4 times 3 is 12) the different lines "line back up" where they started.
also interesting is how you can notate the resulting music score... you have your CHOICE or writing each part in 2 different time signatures? choosing whichever "makes the most sense" to the instrument line your looking at...
even MORE interesting would be writing a score using polyrhythm and bitonality at the same time... (a feat which i can PICTURE yet dont have the ability to pull off, LMAO)