Ideas tagged with music

The mil: 1/1023 of an equal-tempered semitone

In musical temperament, intervals are usually stated in <i>cents</i>, i.e.&nbsp;hundredths of a 12-EDO semitone. A more convenient unit would be 1/12276 of an octave, i.e.&nbsp;1/1023 of a 12-EDO semitone. I&nbsp;call this a <i>mil</i> because it is nearly 1/1000 of a semitone (cf.&nbsp;1KB&#823...

By Gavin Putland

Acknowledgment re &lsquo;The mil: 1/1023 of an equal-tempered semitone&rsquo;

Eight of the twelve intervals mentioned in the above Brief Idea (<a href="http://dx.doi.org/10.5281/zenodo.16212">10.5281/zenodo.16212</a>) were given in 12276ths of an octave, explicitly or implicitly, by Erv Wilson in 1995; see the last two pages of <a href="http://anaphoria.com/sieve.PDF">ana...

By Gavin Putland