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Re: compound time signature with non duple denominator


From: Hans Åberg
Subject: Re: compound time signature with non duple denominator
Date: Wed, 2 Nov 2016 22:13:54 +0100

> On 2 Nov 2016, at 21:08, David Wright <address@hidden> wrote:
> 
> On Wed 02 Nov 2016 at 20:10:39 (+0100), Hans Åberg wrote:
>> 
>>> On 28 Oct 2016, at 21:48, David Wright <address@hidden> wrote:
>>> 
>>> On Fri 28 Oct 2016 at 11:22:00 (-0700), Tobin Chodos wrote:
>>>> Forgive me if this is a too-easy issue for the list, but: is there a way to
>>>> define a time compound time signature such as 4/4 + 1/3?  That is, the
>>>> measure is four quarter notes long plus one triplet eighth note.
>>> 
>>> Isn't this just 13/8? Three triplet eighth notes make a quarter note.
>>> So it's 3+3+3+3+1 all over 8, and the notes will be written out as
>>> four dotted quarter notes and an eighth note per measure.
>> 
>> Indeed, 12/8 may be complicated notationally if the beats of length 3/8 are 
>> divided into twos and fours, so 4/4 might be preferred.
> 
> Now that would be interesting. Are the last three notes of the first
> bar realistically performable? OTOH splitting the long notes into
> threes would be straightforward to perform (and to write in 13/8).

It is, if the tempo is not too high, and one devices a method for counting.

> The only 13/8 I can recall off-hand is an uncomplicated 6/4+1/8.

At moderato, 1/4 = 120, 13/16 is performable counting on 2s and 3s. One example 
is Krivo Sadovsko horo (Bulgaria), 13 = 4+5+4, 4=2+2, 5 = 2+3:
  https://www.youtube.com/watch?v=3jCuUWnwM28
Another is Ispayche horo, 13 = 3+2+3+2+3
  https://www.youtube.com/watch?v=tbU2za0rbzs

At higher tempo, one may need to count on 3s, 4s, and 5s, especially when 
clapping hands:
  https://www.youtube.com/watch?v=aecsGYwtVJM
This is a Leventikos, in video video, it is in 16 = 4+2+3+4+3, but the clap 
hands 4+5+4+3.
  https://en.wikipedia.org/wiki/Leventikos
This Leventikos is also performed in 12 = 3+2+2+3+2, with quadruplets on the 3s 
- se my other post in this thread.




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