On 25 Sep 2009, at 13:13, Stefan Thomas wrote:
How many cents are an alteration of 10/1023?
I made some Haskell functions that compute these; I use Hugs <http://haskell.org/hugs/ >, but perhaps somebody can translate it to Scheme code.
For example, for E12276, LilyPond scale degree 4 (note G relative C), and interval ratio 3/2 (Just perfect fifth), the LilyPond alteration ratio with offset in cents is:
LilyPond> lyalt (12276) 4 (3/2) (10 % 1023,-3.33477112590685e-05)Rational number ratios are written with % in Haskell, so this is 10/1023, and the second component is -3.33477112590685e-05 cents - approximation is a bit lower than 3/2.
If one wants to know which ET is used, compute the pitch as a fraction of an octave:
LilyPond> lyp 4 (10/1023) 7181 % 12276 As this is fraction of an octave, the denominator gives the ET: E12276. Hans
LilyPond.hs
Description: Binary data
_______________________________________________ lilypond-user mailing list lilypond-user@gnu.org http://lists.gnu.org/mailman/listinfo/lilypond-user
