Re: [tuning] a 9-tone "Liszt scale"?

I taught a Liszt course last year, and I know he was interested in some
pretty wild theoretical things late in life. Tell me what (6L3s) means and
maybe I can look it up.

Kyle Gann

--- In tuning@egroups.com, kgann@e... wrote:
> http://www.egroups.com/message/tuning/12866
>
> I taught a Liszt course last year, and I know he was interested
> in some pretty wild theoretical things late in life. Tell me
> what (6L3s) means and maybe I can look it up.

Hi Kyle. By '6L3s', Dan means that the periodic structure of the
scale can be ultimately reduced to a collection of 9 intervals
of two different step-sizes, 6 of them being the large (L) step,
and 3 of them being the small (s) step.

To help you understand, the ordinary plain-vanilla diatonic scale
with which we're all familiar is a '5L2s' system: 5 large steps
('whole-steps', tones) and 2 small steps ('half-steps', semitones).

Note that the periodic structure need not necessarily repeat at
the '8ve'. For an example of some that don't (with MIDI audio
files), see my webpage on 'Charles Ives's 1/8-tone scales':

http://www.ixpres.com/interval/monzo/ives/48tet.htm

My guess would be that Liszt used the '8ve' as his repeating basis,
but who knows? He was so experimental towards the end of his life
that maybe he too envisioned non-'8ve' scales.

-monz
http://www.ixpres.com/interval/monzo/homepage.html

Kyle Gann wrote,

> I taught a Liszt course last year, and I know he was interested in
some pretty wild theoretical things late in life. Tell me what (6L3s)
means and maybe I can look it up.

Sorry, I'm just using "L" and "s" as generalized terms for "whole" and
"half" steps. The 9-tone scale is 0 1 3 4 5 7 8 9 11 12, or 121121121
in twelve-tone equal temperament, so the 6L3s was just a sort of
generalized shorthand.

BTW -- Welcome to the list!

d

--- In tuning@egroups.com, "D.Stearns" <STEARNS@C...> wrote:

http://www.egroups.com/message/tuning/12868

> Sorry, I'm just using "L" and "s" as generalized terms for "whole"
and
> "half" steps. The 9-tone scale is 0 1 3 4 5 7 8 9 11 12, or
121121121
> in twelve-tone equal temperament, so the 6L3s was just a sort of
> generalized shorthand.
>
>
Huh?? Isn't 121121121, 6s3L (??)

Signed,

confused

_________ ____ __ __ _
Joseph Pehrson

is that what 6 large and 3 small intervals?
Pat Pagano, Director
South East Just Intonation Society
http://www.virtulink.com/immp/video/
http://www.screwmusicforever.com/SHREESWIFT/
----- Original Message -----
From: <kgann@earthlink.net>
To: <tuning@egroups.com>
Sent: Saturday, September 16, 2000 10:28 AM
Subject: Re: [tuning] a 9-tone "Liszt scale"?

>
> I taught a Liszt course last year, and I know he was interested in some
> pretty wild theoretical things late in life. Tell me what (6L3s) means and
> maybe I can look it up.
>
> Kyle Gann
>
>
>
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