We are all slaves to 2's and 4's. Yes, we write music in 3/4 and even 5/4, but even then we write phrases that are 2 or 4 measures long, or some multiple of those. Tchiakovsy's Sixth in 5/4 used 2-measure phrases and Dave Brubeck's "take Five" used four-measure phrases.
The attached sketch is a goofy experiment in odd time. The "Pento" form (just a goofy name I dreamt up) is in 5/4 and the piece is divided up as follows:
A theme consisting of three-measure phrases is repeated three times, followed by the second theme, also built of three-measure phrases, and featuring the use of parallel fifths. To this point the melody has a total of 19 measures. This section is followed by a third theme, in a key signature up a fifth, which consists of phrases of five measures, also repeated three times. Then follows a single measure to modulate back to the principal key and a recapitulation of the principal theme. So everything about the piece is odd.
In spite of being so odd, I still wanted it to sound like a "traditional" tonal melody, pehaps the kind of piece they dance to on a distant planet where the dominant life form has five legs.
Rendered with the GPO Steinway.
Here's the sketch.