LMY (was Re: [tuning] Reply to William Annis)

"Paul H. Erlich" wrote:

> Sure -- the most similar example I've seen might be LaMonte Young who used a
> grid with 3 on one axis and 7 on the other axis. However, about the duodene:
>
> (a) it seems particularly geared toward the 12-tone periodicity block that
> results on the 3-5 plane, so some other number of notes other than 12 might
> be more appropriate when using other constructing intervals (I'd be happy to
> pursue this if you're interested); and
> (b) one should remember that it fails to allow even some of the simplest of
> Western triadic music to be performed.

It seems like you're refering to the tuning
of The Well Tuned Piano. Why would you want to
perform "even some of the simplest of
Western triadic music" with this tuning?
It's designed with a specfic purpose in mind,
not some swiss army knife tuning that does
many things well.

--
* D a v i d B e a r d s l e y
* xouoxno@virtulink.com
*
* 49/32 R a d i o "all microtonal, all the time"
* M E L A v i r t u a l d r e a m house monitor
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* http://www.virtulink.com/immp/lookhere.htm

again DJW
i was commenting on a comment not the duodenium periodicity block
i am sure Paul is quite right in his assertion
and thanks for explaining the WTP piano for us
I am quite familiar with the tuning for it :-)
and that said my comment was only saying exactly what you typed
in the form of "who needs a 5/4 anhoo" ="That said, Beardsley is exactly right
that the tuning of the WTP was neitherintended nor suited for 5-limit triadic
harmonies, but for a entirelydifferent project."
i could not agree more it is not suited nor intended for 5-limit triadic
harmonies I think one glance at the tuning may tell you that.

cheers
Pat

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Daniel Wolf wrote:
>
> Pagano and Beardsley are missing Erlich's point that a duodene or
> periodicity block of 12 tones fits a matrix of threes and fives optimally.
> Young was able to put the WTP tuning on a 12-tone keyboard by giving up
> consistant mappings of intervals (7/4s are mapped onto major sixths and
> major sevenths) as well as scalar order -- going up a chromatic scale on the
> WTP yields a sequence with a few descending intervals thrown in.

Didn't miss that point at all Wolf. I just didn't see anything wrong
with it.

> That said, Beardsley is exactly right that the tuning of the WTP was neither
> intended nor suited for 5-limit triadic harmonies, but for a entirely
> different project.
>
> DJW

--
* D a v i d B e a r d s l e y
* xouoxno@virtulink.com
*
* 49/32 R a d i o "all microtonal, all the time"
* 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