At 07:39 PM 12/20/2004, R. William Gosper wrote:
Are there any other named fractions besides "one half", "one quarter", and "enharmonic diesis"? Maybe "cent" and "percent"? Duh, three quarters?
I find the same "difference/ratio" definition of enharmonic diesis in Webster's Third New International Dictionary. I think they mean to define all of these to be intervals (in the musical sense) rather than fractions, but some similar terms from the same dictionary are ditone "corresponding to the ratio 81:64" ditonic comma "represented by the ratio 531,441:524,288" limma "256/243" syntonic comma "represented by the ratio of 81:80" Feeding these terms into Google turns up a very long list of interval names at http://www.xs4all.nl/~huygensf/doc/intervals.html ; ordered by numerator, it ends with "Mercator's comma", which is 3^53:2^84. -- Fred W. Helenius <fredh@ix.netcom.com>