72 tone keyboard by George Secor!

The briefest on notes from Erv Wilson-

http://www.anaphoria.com/images/secor72keyboard.gif
here is a 72 tone keyboard done by George Secor in Xen 3
based on rows of 7s from spring of 75.

-- Kraig Grady
North American Embassy of Anaphoria island
http://www.anaphoria.com

The Wandering Medicine Show
Wed. 8-9 KXLU 88.9 fm

Actually you need the diagram above also, but instead I am seeking
permission to put up whole article!

Kraig Grady wrote:

> The briefest on notes from Erv Wilson-
>
> http://www.anaphoria.com/images/secor72keyboard.gif
> here is a 72 tone keyboard done by George Secor in Xen 3
> based on rows of 7s from spring of 75.
>
> -- Kraig Grady
> North American Embassy of Anaphoria island
> http://www.anaphoria.com
>
> The Wandering Medicine Show
> Wed. 8-9 KXLU 88.9 fm
>
>
>
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-- Kraig Grady
North American Embassy of Anaphoria island
http://www.anaphoria.com

The Wandering Medicine Show
Wed. 8-9 KXLU 88.9 fm

http://www.anaphoria.com/images/secor72keyboard2.gif
THE DIAGRAM ABOVE!

Kraig Grady wrote:

> Actually you need the diagram above also, but instead I am seeking
> permission to put up whole article!
>
>

-- Kraig Grady
North American Embassy of Anaphoria island
http://www.anaphoria.com

The Wandering Medicine Show
Wed. 8-9 KXLU 88.9 fm

Kraig wrote:

> http://www.anaphoria.com/images/secor72keyboard.gif
> here is a 72 tone keyboard done by George Secor in Xen 3
> based on rows of 7s from spring of 75.

> http://www.anaphoria.com/images/secor72keyboard2.gif
> THE DIAGRAM ABOVE!

Secor's keyboard is a Miracle mapping. Perhaps somebody with
Xenharmonikon 3 can find out how he arrived at it.

Wilson's mapping isn't Miracle. He uses 81/80 where it shouldn't be.
Compare with my lattice of Partch's other 43 note scale at
<http://x31eq.com/decimal_lattice.htm>.

Graham

Graham!
I don't understand what you are referring to here. Erv has made not attempt at Miracle
keyboard.

graham@microtonal.co.uk wrote:

> Wilson's mapping isn't Miracle. He uses 81/80 where it shouldn't be.
> Compare with my lattice of Partch's other 43 note scale at
> <http://x31eq.com/decimal_lattice.htm>.

-- Kraig Grady
North American Embassy of Anaphoria island
http://www.anaphoria.com

The Wandering Medicine Show
Wed. 8-9 KXLU 88.9 fm

Graham!
Here is the article, which i don't think solves the question?!

http://www.anaphoria.com/secor.PDF

graham@microtonal.co.uk wrote:

> Secor's keyboard is a Miracle mapping. Perhaps somebody with
> Xenharmonikon 3 can find out how he arrived at it.

-- Kraig Grady
North American Embassy of Anaphoria island
http://www.anaphoria.com

The Wandering Medicine Show
Wed. 8-9 KXLU 88.9 fm

Kraig wrote:

> Here is the article, which i don't think solves the question?!
>
> http://www.anaphoria.com/secor.PDF

Oh, it's all Secor's, so what did "The briefest on notes from Erv Wilson-"
mean?

There isn't much text, so indeed we don't know how he found it. But what
he found is definitely Miracle. He mentions transpositional invariance,
the consistency with 31-, 41- and 72-equal. Also:

"If the above keyboard is tuned so that each key plays 116.69 cents
different in pitch from the one beside it, a temperament will result in
which none of the 29 primary ratios within the 11-limit will be more than
about 3.32 cents false. With 43 tones per octave, this permits 21
complete otonalities and 21 complete utonalities!"

And there's a 5-limit square lattice showing some Miracle approximations.
He uses this for his notation: nominals are Pythagorean and the
accidentals move you to different rows. No mention of Blackjack, so that
might be a new idea.

Graham

G!
He was the one who pointed it out to me on mentioning 7/72. He remembered Secor doing this and
I was passing the message/note along.

graham@microtonal.co.uk wrote

> Oh, it's all Secor's, so what did "The briefest on notes from Erv Wilson-"
> mean?

-- Kraig Grady
North American Embassy of Anaphoria island
http://www.anaphoria.com

The Wandering Medicine Show
Wed. 8-9 KXLU 88.9 fm

--- In tuning@y..., Kraig Grady <kraiggrady@a...> wrote:
> Graham!
> Here is the article, which i don't think solves the question?!
>
> http://www.anaphoria.com/secor.PDF
>
It appears that George Secor may have been the true discoverer of
MIRACLE temperament!!!

--- In tuning@y..., "Paul Erlich" <paul@s...> wrote:
> > http://www.anaphoria.com/secor.PDF
> >
> It appears that George Secor may have been the true discoverer of
> MIRACLE temperament!!!

Yes indeed! But you still get the credit for Blackjack, Paul.

Thanks Erv, Kraig and Graham for bringing this to our attention. Now
how do we track down George Secor, to tell him we just rediscovered
his temperament and named it "MIRACLE"? :-)

Regards,
-- Dave Keenan

David!
We are working on it. Somewhere you should go down as one of the great rediscoverers. As so
often you seem to zero in on exactly what many great minds before have done. Often such acts are a
"preservation" as opposed to a reinvention.

Dave Keenan wrote:

> Yes indeed! But you still get the credit for Blackjack, Paul.
>
> Thanks Erv, Kraig and Graham for bringing this to our attention. Now
> how do we track down George Secor, to tell him we just rediscovered
> his temperament and named it "MIRACLE"? :-)

-- Kraig Grady
North American Embassy of Anaphoria island
http://www.anaphoria.com

The Wandering Medicine Show
Wed. 8-9 KXLU 88.9 fm