Re: [metatuning] Re: Penrose Tiles/Dalai Lama

Robert Walker wrote:

> Hi Kraig,
>
> > I don't think I have seen much mention of Erv inclusion of the tiles at
> > the end of his dallesandro article or it use on one cover of Xenharmonikon
> > as a way to explore tone space in a semi crystalline fashion. Maybe this
> > will be one of those post that will lead to one of the other lists,
> > instead of our usual other way around :)
>
> I've used his idea for the Fibonacci tonescapes in FTS.
> They do a single row traverse along a row of tiles
> in the Penrose tiling (then I extend the idea to other
> fibonacci type patterns built up recursively in the same
> way as the L S sequences for Penrose tilings).

Yes this is the way we have wanted to play with this, mainly with some parallel
intervals
as you example illustrates. having different voice pairs crisscrossing over the same
area, so to speak. another piece based on a
few pairs (between 3 and 6) starting at one 'junction' all having one tone in common
and going out and later returning

Ass you might already know. Lou Harrison was big into the fibonacci series and was a
member of the Fibonacci society.
he also advocated a method of doing microtonal music which he called 'free style" where
not the tones were predetermined, but the intervals.
these tilings kind of combine these too interest of his.

>
>
> I link to your anaphoria
> file at the end or this page in the help
> -
> http://www.tunesmithy.netfirms.com/fts_help/Penrose_tilings.htm
>
>

last page of

> http://www.anaphoria.com/dal.PDF

But there was also a cover of Xenharmonikon that took it out past the confines of a
small area but have neither put this up or
can i seem to be able to find this off hand

> - Manuel told me about it which is how I got the idea.
> I see that that link at the end needs updating
> - do you know where it is on the site so that I
> can update the link? I remember I saw his figure
> in one of the pdfs but I can't remember where I saw it now.
>
> If you choose just any ratio for the intervals for the
> wide and narrow rhombs then the tune rapidly rises
> or falls in pitch. But with some choices then
> you can continue along the row of tiles
> for a long time with the overall pitch kept steady.
> So for instance with 10/11 and 7/6 as your
> two ratios, the pitch is very steady.

I think Ervs idea was to use the harmonic series represented by the centered pentad
(plus the inversion of these) that way you actually can end up with full harmonic and
subharmonic hexads in the most unusual places!

>
>
> A bit about how that works is described here:
>
> http://www.tunesmithy.netfirms.com/fts_help/fibonacci_rhythm.htm#Fibonacci_tonescapes
>
> FTS can find suitable "companion" ratios for
> any ratio entered by the user, to keep the
> pitch of the tonescape steady over long
> periods of time.
>
> Here is an example midi clip that plays
> notes along a row of a Penrose tiling
> using the ratios 10/11 and 7/6
>
> http://www.robertinventor.com/jazzy_fibonacci_tonescape_v2.mid
>
> - also played in a Fibonacci rhythm - there
> I'm using the strict rhythm where the L beat
> corresponds to the wide rhombs in the tiling
> to make sure it is thoroughly Penrose tiling
> based.

This is indeed an interesting addition to Dave Canwright's Fibonacci rhythm
and my own Horogram Rhythms.

>
>
> However, it is only one dimensional as the
> FTS tonescapes travel along a single row of tiles
> in the tiling (in the case where they use the
> Fibonacci rhythm that corresponds to a Penrose tiling row).
>
> When using a Penrose tiling it would
> be interesting to somehow use it
> in two dimensions as well. I haven't had
> any ideas about how to do that in a fractal
> tune. But the same ratios such as
> 10/11 and 7/6 could be used
> to keep the pitch level of the 2D
> fibonacci tonescape for the Penrose
> tiling steady over large patches of the
> surface of the tiling.
>
> Robert
>
>

-- -Kraig Grady
North American Embassy of Anaphoria Island
http://www.anaphoria.com
The Wandering Medicine Show
KXLU 88.9 FM WED 8-9PM PST

--- In tuning@yahoogroups.com, Kraig Grady <kraiggrady@a...> wrote:
>
> But there was also a cover of Xenharmonikon that took it out past
the confines of a
> small area but have neither put this up or
> can i seem to be able to find this off hand

It's easy to generate Penrose tilings (and their associated
tonescapes) by doing golden slices through a five- or six-dimensional
lattice. Maybe Robert, Dave, or Gene would like to supply some
computations . . .

Hi Paul!
I seem to be able to do them fine myself by following the rules provided
in the sci. amer. article.
There are only 8 hub patterns (seeing it from the perspective of one
point) which makes it easy.
Although i understand that the limited rules provided at some really far
reaches this can leave a blank space,
but in all this time i have played with them
I have not had this happen.
But i have asked Robert off line to help me with one particular
application
which might end up coming pack here to the tuning freeway.

wallyesterpaulrus wrote:

> --- In tuning@yahoogroups.com, Kraig Grady <kraiggrady@a...> wrote:
> >
> > But there was also a cover of Xenharmonikon that took it out past
> the confines of a
> > small area but have neither put this up or
> > can i seem to be able to find this off hand
>
> It's easy to generate Penrose tilings (and their associated
> tonescapes) by doing golden slices through a five- or six-dimensional
> lattice. Maybe Robert, Dave, or Gene would like to supply some
> computations . . .
>
>
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-- -Kraig Grady
North American Embassy of Anaphoria Island
http://www.anaphoria.com
The Wandering Medicine Show
KXLU 88.9 FM WED 8-9PM PST