Re: [proposal] easy triplets and tuplets - Draft 3

[Reinhold Kainhofer]

On 2012-10-09 11:14, Francisco Vila wrote:> 2012/10/9 Benkő Pál 
<address@hidden>:
>> 2012/10/9 Francisco Vila <address@hidden>:
>>> When I learned how to read music, triplets were taught to me as
>>> "always shrinking" groups and you see a "3" but there is an implicit
>>> "2" so we have 3:2. Only the numerator is printed by convention.
>>>
>>> Thus, if you write
>>>
>>>    \times 2/3 { b16 b b b b b }
>>>
>>> or
>>>
>>>    \times 4/6 { b8 b b }
>>>
>>> this is mathematically perfect but the number you are asking to be
>>> printed is a confusing "3" and a confusing "6" respectively.
>>
>> the first is not confusing:

I think the point here was not that the tuplet notation on paper is 
confusing per se. Actually, both are VERY common (the 6:4 tuplets appear 
e.g. in Schubert's Stabat Mater, in several pieces by Preindl or Eybler, 
etc.)
What is confusing is that "3" is printed, when you actually write 2/3.
Also, Gould explains tuplets m:n as "m in the time of n" and calls m:n 
(i.e. 3:2) the tuplet ratio...


>> it makes sure to read
>> b16[ b] b[ b] b[ b]
>
> Yes, but I think it is more common to print a "6" here with the same
> meaning.

Not that I know.

A triplet (i.e. 3:2) means that there are three beats in the tuplet, the 
first might get a slight accent, while a sextuplet means there are two 
groups of three notes.
Also compare Gould, p. 213, regarding the subdivision of beams:

"A triplet is always a tripartite division, whereas a sextuplet is two 
groups each of three notes, a bipartite division."

Cheers,
Reinhold

--
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Reinhold Kainhofer, address@hidden, http://www.kainhofer.com
 * Financial & Actuarial Math., Vienna Univ. of Technology, Austria
 * http://www.fam.tuwien.ac.at/, DVR: 0005886
 * Edition Kainhofer, Music Publisher, http://www.edition-kainhofer.com