I wonder whether it’s possible to write decent music with a fractional number of beats to a measure; by which I mean not that each measure should end with a fractional beat, but rather — imagine that a lunar month (29 days and a fraction) is a ‘measure’ and each Sunday is a ‘beat’; the first Sunday after a new moon is the first beat of a measure, so some measures have four beats and some have five.
In particular, what about a rhythm built on the golden ratio? It should sound like a syncopated 2-beat, or rather a 3-beat, or rather a 5-beat . . . for every Fibonacci number. You couldn’t dance to it; it would be a challenge even to hum along. But I have the perfect title for such a composition.
Some Balkan music, I gather, is described with fractional meters like 6½.