Re: Egyptian/Pharonic Scale

Pat,

From the scale archive:

Egyptian scale by Miha'il Musaqa
1: 200.000 cents 200.000
2: 350.000 cents 350.000
3: 500.000 cents 500.000
4: 700.000 cents 700.000
5: 850.000 cents 850.000
6: 1000.000 cents 1000.000
7: 2/1 1200.000 octave

I'll give you the ratios:
1: 9/8 203.910 major whole tone
2: 11/9 347.408 undecimal neutral third
3: 4/3 498.045 perfect fourth
4: 3/2 701.955 perfect fifth
5: 18/11 852.592 undecimal neutral sixth
6: 16/9 996.090 Pythagorean minor seventh
7: 2/1 1200.000 octave

Manuel Op de Coul coul@ezh.nl

Oh, this may not be what you asked for. Sorry.

Manuel

Thanks Manuel
It's real close
I appreciate the reply
Pat

manuel.op.de.coul@ezh.nl wrote:

> From: manuel.op.de.coul@ezh.nl
>
> Oh, this may not be what you asked for. Sorry.
>
> Manuel
>
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You might want to try out scales based on the basic tetrachord of Qutb
al-Din al-Shiriz (1236-1311 C.E.), a student of Safi al-Din, a chromatic
(with C.I. of 7/6 and an unequal division of the _pyknon_, on the border
with the diatonic) tetrachord of the genus _bijazi_.
The original form

1/1 12/11 14/11 4/3

has metamorphised through many approximations by both pythagorean cycles
and equal divisions of both the fourth and octave, but remains the basic
tetrachord of both theory and practice in the Islamicate world.

You will also enjoy trying the rotations of the tetrachord:

1/1 12/11 8/7 4/3
1/1 7/6 14/11 4/3
1/1 7/6 11/9 4/3
1/1 22/21 8/7 4/3
1/1 22/21 11/9 4/3

Thanks Mr. Wolf
That's closer to what I was looking for.
I'm very interested in how the 14/11 will sound out in a melodic phrase
thanks again
Pat
SEJIS

Daniel Wolf wrote:

>
> The original form
>
> 1/1 12/11 14/11 4/3
>
>
>
>
>
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Pat!
You might want to look at La Musique Arabe by Erlanger. 6 volumes
of which has a collection of historical theoretical work with an array
to developing tetrachords. Of course there are those who prefer 24ET.
-- Kraig Grady
North American Embassy of Anaphoria Island
www.anaphoria.com

>[Wolf:]
> You might want to try out scales based on the basic
> tetrachord of Qutb al-Din al-Shiriz (1236-1311 C.E.),
> a student of Safi al-Din, a chromatic (with C.I. of 7/6
> and an unequal division of the _pyknon_, on the border
> with the diatonic) tetrachord of the genus _bijazi_.
> The original form
>
> 1/1 12/11 14/11 4/3
>
> has metamorphised through many approximations by both
> pythagorean cycles and equal divisions of both the
> fourth and octave, but remains the basic tetrachord
> of both theory and practice in the Islamicate world.

Interestingly, all the intervals of this tetrachord
appear, but displaced by one degree, in Ptolemy's
Syntonic Chromatic genus from 1000 years earlier.

If we transpose Ptolemy's Mese to 14/11, and
tabulate the conjunct Synemmenon and Meson
tetrachords of his scale, it is easy to
see Qutb's ratios in there, with Qutb's
tetrachord boundaries displaced upward by
one step:

Nete Synemmenon 56:33 \
Paranete Synemmenon 16:11 \
Trite Synemmenon 4:3 /
MESE 14:11 X
Lichanos Meson 12:11 \
Parhypate Meson 1:1 /
Hypate Meson (21:11) /

I recognized this right away because of my
familiarity with the lattice patterns in
Ptolemy's system.

Using Ptolemy's actual (non-transposed) ratios:

33:28
/ |
/ |
/ |
11:7 |
/ | | 9:7--------------9:8
/ | | / /
/ | | / /
22:21 | |/ /
| | 12:7---------------3:2
| | / /
| | / /
| |/ /
| 8:7---------------1:1
| / /
| / /
|/ /
32:21-------------4:3

This is the lattice of Qutb's tetrachord:

1:1
/ |
/ |
/ |
4:3 |
| 12:11
| /
| /
|/
( )---------------14:11

- Monzo
http://www.ixpres.com/interval/monzo/homepage.html
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Yes thanks K
i am not for et
I'm mor into purity
i will check your sugg
Thanks
Pat
SEJIS

Kraig Grady wrote:

> From: Kraig Grady <kraiggrady@anaphoria.com>
>
> Pat!
> You might want to look at La Musique Arabe by Erlanger. 6 volumes
> of which has a collection of historical theoretical work with an array
> to developing tetrachords. Of course there are those who prefer 24ET.
> -- Kraig Grady
> North American Embassy of Anaphoria Island
> www.anaphoria.com
>
> ------------------------------------------------------------------------
> We have a new web site!
> http://www.onelist.com
> Onelist: The leading provider of free email community services
> ------------------------------------------------------------------------
> You do not need web access to participate. You may subscribe through
> email. Send an empty email to one of these addresses:
> tuning-subscribe@onelist.com - subscribe to the tuning list.
> tuning-unsubscribe@onelist.com - unsubscribe from the tuning list.
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