On Fri, Feb 18, 2011 at 7:46 PM, <k-ohara5...@oco.net> wrote: >> Why not use a sequence of Rationals [..] to represent the alteration? > > A single Rational can hold the series as a sum, and preserve the > separability of the terms, if we use mutually prime denominators. > In scales where cih is identical to ciseh, ciseh can be +1/2 - 1/4 = > 1/4. > In scales where cih is logically distinct from ciseh, ciseh can be +1/2 > - 1/5.
I know that, but 1. The separability will go out the window if people start transposing by these amounts. +1/1 - 1/5 = 3/10. Transpose by that 5 times, and you have 15/10 = 3; the quarter tones have gone. I realize this concern is mostly academic. 2. If what we really want to represent is a sequence of numbers (and I gather it is), we should make the internal representation a sequence too. If we use rational numbers, we can maintain backward compatibility. -- Han-Wen Nienhuys - han...@xs4all.nl - http://www.xs4all.nl/~hanwen _______________________________________________ lilypond-devel mailing list lilypond-devel@gnu.org http://lists.gnu.org/mailman/listinfo/lilypond-devel
