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Re: irrational meters
From: |
Hans Åberg |
Subject: |
Re: irrational meters |
Date: |
Tue, 17 Jan 2023 19:10:16 +0100 |
I gave an example [1] where the numerator is an irrational number, 8+2√5. It is
implementable in LilyPond using continued fractions.
1. https://lists.gnu.org/archive/html/lilypond-user/2014-06/msg00237.html
> On 17 Jan 2023, at 18:40, Silvain Dupertuis <silvain-dupertuis@bluewin.ch>
> wrote:
>
> Thanks for the reference.
> This wikipedia article in English does not have it's counterpart in my
> language (French), but a corresponding but different French article which
> does not mention this notion.
> So this term “irrational” is indeed used that way in music (at least in
> English) — but I still think it would be better to use the terme «non
> dyadic», also mentioned in the article, so as to harmonize teminology between
> music and maths....
> Silvain
>
> Le 17.01.23 à 15:52, Hans Åberg a écrit :
>>
>>> On 17 Jan 2023, at 15:20, Silvain Dupertuis <silvain-dupertuis@bluewin.ch>
>>> wrote:
>>>
>>> I wonder about the term “irrational” meter. Should not we say “irregular” ??
>>> as in mathematics, an irrational number is a number which cannot be
>>> represented as a fraction...
>>>
>> The denominator is not a power of two. See:
>>
>> https://en.wikipedia.org/wiki/Time_signature#Irrational_meters
>>
>>
>>
>
> --
> Silvain Dupertuis
> Route de Lausanne 335
> 1293 Bellevue (Switzerland)
> tél. +41-(0)22-774.20.67
> portable +41-(0)79-604.87.52
> web: silvain-dupertuis.org
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- Re: irrational meters, Aaron Hill, 2023/01/18
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