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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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