> On 18 Jan 2023, at 01:46, H. S. Teoh via LilyPond user discussion > <[email protected]> wrote: > > … it would be interesting if somebody composed a > piece with an actually irrational meter, like π/4 or 3/π.
I gave an example [1] where the numerator is an irrational number, 8+2√5. If one wants to typeset them in LilyPond, one can apply continued fraction convergents to a suitable degree of accuracy. > Only thing > is, it would be impossible for human performers to play correctly, since > there isn't any way to count the beats correctly (counting beats implies > a rational fraction, since by definition it's impossible to count up to > an irrational ratio by counting finite parts). The example [1] is based on a popular Macedonian meter 12=3+2+2+3+2 [2], which in performance has heavy metric time bends [3]. A musical motivation writing such a meter might be to make performers to avoid trying to play an exact 3+2+2+3+2. 1. https://lists.gnu.org/archive/html/lilypond-user/2014-06/msg00237.htm 2. https://en.wikipedia.org/wiki/Leventikos 3. https://www.youtube.com/watch?v=vYR_pvRWO_g
