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22-EDL : RE: [tuning] Re: Two 11-of -79 tunings

🔗Mohajeri Shahin <shahinm@kayson-ir.com>

4/29/2006 12:11:17 AM

Dear j1

Yes it is 22-EDL.

But why 11-utonality?

Shaahin Mohaajeri

Tombak Player & Researcher , Composer

www.geocities.com/acousticsoftombak

My tombak musics : www.rhythmweb.com/gdg

My articles in ''Harmonytalk'':

www.harmonytalk.com/archives/000296.html
<http://www.harmonytalk.com/archives/000296.html>

www.harmonytalk.com/archives/000288.html
<http://www.harmonytalk.com/archives/000288.html>

My article in DrumDojo:

www.drumdojo.com/world/persia/tonbak_acoustics.htm
<http://www.drumdojo.com/world/persia/tonbak_acoustics.htm>

________________________________

From: tuning@yahoogroups.com [mailto:tuning@yahoogroups.com] On Behalf
Of J.Smith
Sent: Saturday, April 29, 2006 9:53 AM
To: tuning@yahoogroups.com
Subject: [tuning] Re: Two 11-of -79 tunings

--- In tuning@yahoogroups.com, "Ozan Yarman" <ozanyarman@...> wrote:
>
> Dear jl (I assume that would be John?),

Lol...Jon is the spelling my parents insisted on :-)

> I'm happy that you have listened to my improvisations of little
worth.

"Little worth"...? I think not. Quite intricate and beautiful, I
think.

>I'm impressed that 79 MOS 159-tET can produce consistent 11-tones
per octave
> with less than 7 cents deviation. I wonder the possiblities...
>
> I assume, by 11-U, you meant this scale:
>
> 0: 1/1 0.000 unison, perfect prime
> 1: 25/24 70.672 classic chromatic semitone,
minor
> chroma
> 2: 11/10 165.004 4/5-tone, Ptolemy's second
> 3: 15/13 247.741 tridecimal 5/4-tone
> 4: 11/9 347.408 undecimal neutral third
> 5: 13/10 454.214 tridecimal semi-diminished
fourth
> 6: 18/13 563.382 tridecimal augmented fourth
> 7: 22/15 663.049 undecimal diminished fifth
> 8: 25/16 772.627 classic augmented fifth
> 9: 56/33 915.553
> 10: 11/6 1049.363 21/4-tone, undecimal neutral
seventh
> 11: 2/1 1200.000 octave

Unless I'm greatly mistaken (someone please correct me if I am), the
following ratios comprise 11-Utonality, and are the ratios I am
using:

1/1 : 0.0
22/21 : 80.4
11/10 : 165.0
22/19 : 253.8
11/9 : 347.4
22/17 : 446.3
11/8 : 551.3
22/15 : 663.0
11/7 : 782.7
22/13 : 910.8
11/6 : 1049.4
2/1 : 1200.0

If I am understanding correctly, this is also 22-EDL, isn't it?

> I don't know if I got the 9th degree right. Perhaps 17/10 is the
right
> interval? Even so, the maximum difference is about 6 cents.
>
> I am excited to hear about your work utilizing these scales.
Please keep me
> posted.
>
> Cordially,
> Oz.

Thank you...I'll definitely keep you posted.
jl

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