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Re: irrational meters
From: |
Hans Åberg |
Subject: |
Re: irrational meters |
Date: |
Wed, 18 Jan 2023 14:38:03 +0100 |
> On 18 Jan 2023, at 01:46, H. S. Teoh via LilyPond user discussion
> <lilypond-user@gnu.org> 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
- Re: irrational meters, (continued)
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- Re: irrational meters, H. S. Teoh, 2023/01/19
- Re: irrational meters,
Hans Åberg <=
- Re: irrational meters, Hans Åberg, 2023/01/17
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- Re: irrational meters, David Poon, 2023/01/17
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