2012/10/9 David Kastrup <d...@gnu.org>: > Francisco Vila <paconet....@gmail.com> writes: > >> 2012/10/9 Keith OHara <k-ohara5...@oco.net>: >>> Currently, everyone who thinks of a triplet as a 3:2 ratio, 3 notes in the >>> usual time for 2, suffers similar confusion when trying to remember \times >>> 2/3. Triplets are usually written with a simple 3, but 4-note-tuplets are >>> often designated 4:3 for clarity, while LilyPond requires the reversed >>> fraction in \times 3/4 {} >> >> Here come Spanish students again. >> I can think in \times <fraction> {} as a mathematical expression and >> it has sense, because "times" means multiply, > > How does a mathematician explain the difference between \times 2/3 and > \times 4/6 ?
There is no difference BUT tuplets have a printed number, and in lilypond this number is taken from the denominator for your convenience. 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. -- Francisco Vila. Badajoz (Spain) www.paconet.org , www.csmbadajoz.com _______________________________________________ lilypond-devel mailing list lilypond-devel@gnu.org https://lists.gnu.org/mailman/listinfo/lilypond-devel