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-dupert...@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-dupert...@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
