back to list

Porcupine Temperament on the Warped Canon page!

🔗Herman Miller <hmiller@IO.COM>

2/23/2002 8:03:33 PM

http://www.io.com/~hmiller/music/warped-canon.html

Thanks to Paul Erlich for suggesting the name "porcupine" for this category
of temperaments.

I added a section on Porcupine Temperament (250:243 unison vector) to the
Warped Canon page. (Scroll down to around the middle of the page to find
it.) This includes 15, 37, 59, 22, 51, and 29-TET (although 51 is
inconsistent in the 5-limit, so its existence on the list is questionable,
but it fills a gap between 29 and 22).

I noticed that Porcupine temperament has the unusual property that the
canon scale (a warped diatonic scale) has three sizes of steps, with the
middle step halfway between the large and the small step. Other scales
having three step sizes usually have the middle step closer to the large
step: the small step is a semitone and the other two steps are different
sizes of whole tones.

I also added retuned versions of the progression from the end of the
Mizarian Porcupine Overture in these tunings, to illustrate how the 250:243
vanishes. For fun, try the 12-TET version!

--
see my music page ---> ---<http://www.io.com/~hmiller/music/index.html>--
hmiller (Herman Miller) "If all Printers were determin'd not to print any
@io.com email password: thing till they were sure it would offend no body,
\ "Subject: teamouse" / there would be very little printed." -Ben Franklin