At 01:40 PM 5/5/98 -0400, you wrote (Digest 1405, Topic 11): >From: Xou Oxno >Subject: Steve Vai in Guitar World. and other babbel... > >In my ever ending quest to effectively waste >time more efficently, I found this program >this morning and have managed to waste 4 hours so far. > >Steve Vai in Guitar World. http://www.guitarworld.com > >Here's the original text: > >VAI: I've done some kooky things that involved dividing >up the fretboard. I have a guitar that has 24 frets to >the octave and one that has 16 frets to the octave, so >they're untempered....
I know, he should've said: "... so they're tempered".
Or, if translated from "English" to "Valley Speak": "... so they're TOTALLY tempered". (I was born and raised in the San Fernando Valley.)
>I then sent it through the The Altavista Language Transmorgrafier: > >http://www.archive.org/%7Eart/babelphone.html >...
I actually discovered the same effect when I translated a web page of mine to German, and then back to English, via AltaVista's Translator. But you're right, the "Transmorgrafier" link you gave is a much more efficient way to waste time.
--Mark +------------------------------------------------------+ | Mark Nowitzky | | email: nowitzky@alum.mit.edu | | www: http://www.pacificnet.net/~nowitzky | | "If you haven't visited Mark Nowitzky's home | | page recently, you haven't missed much..." | +------------------------------------------------------+
On Wed, 6 May 1998, Triple Just wrote: > Pitch Frequency Interval > > C 1440 > 16/15 > B 1350 > 135/128 > A# 1280 > 16/15 > A 1200 > 16/15 > G# 1125 > 25/24 > G 1080 > 9/8 ^^^ This should be 27/25. That messed me up a bit when I was trying to do the diagram below. > F# 1000 > 25/24 > F 960 > 16/15 > E 900 > 10/9 > D# 810 > 81/80 > D 800 > 16/15 > C# 750 > 25/24 > C 720
Mapped to the triangular lattice, this comes out:
25/18 25/24 25/16
10/9 5/3 5/4 15/8
16/9 4/3 1/1 3/2 9/8
which is a nice regular shape with lots of consonances, but seems rather biased toward the sharp side--you don't even have a 6/5 above C. Or do you use A as the tonic more often?
--pH http://library.wustl.edu/~manynote O /\ "Churchill? Can he run a hundred balls?" -\-\-- o NOTE: dehyphenate node to remove spamblock. <*>
> > G 1080 > > 9/8 > ^^^ This should be 27/25. > That messed me up a bit when I was > trying to do the diagram below.
On the way to AFMM yesterday I was trying to come up with the scale and this was driving me nuts!!!
I think he's testing us... ;)
-- * D a v i d B e a r d s l e y * xouoxnoREMOVE-THIS@virtulink.com * * J u x t a p o s i t i o n E z i n e * M E L A v i r t u a l d r e a m house monitor * * http://www.virtulink.com/immp/lookhere.htm
>On Wed, 6 May 1998, Triple Just wrote: >> Pitch Frequency Interval >> >> C 1440 >> 16/15 >> B 1350 >> 135/128 >> A# 1280 >> 16/15 >> A 1200 >> 16/15 >> G# 1125 >> 25/24 >> G 1080 >> 9/8 ^^^ This should be 27/25. That messed me up a bit when I was trying to do the diagram below. >> F# 1000 >> 25/24 >> F 960 >> 16/15 >> E 900 >> 10/9 >> D# 810 >> 81/80 >> D 800 >> 16/15 >> C# 750 >> 25/24 >> C 720
>Mapped to the triangular lattice, this comes out:
> 25/18 25/24 25/16
> 10/9 5/3 5/4 15/8
> 16/9 4/3 1/1 3/2 9/8
Thanks for doing this mapping -- it quickly reveals that this tuning has seven just major triads and five just minor triads. Clearly the tuning is biased toward major. In fact, this may be the most just major triads one can achieve with 12 notes. Anyone care to prove this, or find a counterexample?