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A mistake : FW: [tuning] Re: reality of using tuning systems in fretted instruments

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

3/25/2006 11:10:10 PM

Excuse me . I must have told 320 equal part in string length from 640/640 to 640/320.

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

www.harmonytalk.com/archives/000288.html

My article in DrumDojo:

www.drumdojo.com/world/persia/tonbak_acoustics.htm

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From: tuning@yahoogroups.com [mailto:tuning@yahoogroups.com] On Behalf Of Mohajeri Shahin
Sent: Sunday, March 26, 2006 11:15 AM
To: tuning@yahoogroups.com
Subject: RE: [tuning] Re: reality of using tuning systems in fretted instruments

Dear ozan

Excuse me for late reply because of new persian year and nowrouz.

Equal divisions of string length is a concept I found in farabi's musighi-al-kabir used in fretting of tanbour of baghdad . he also used this method in his theoretical concepts.

I proposed a name for this system as EDS ( equal divisions of string length) and in a mail you mentioned it as EDL , although equal divisions of pipe length may show different sounding as strings.

Consider a 640-mm length string from nut to bridge , so with accuracy of 1 mm you have 640 equal part in string length from 640/640 to 640/320 (from 1/1 to 2/1) so middle of string is octave.

In strings with even size of length you can have octave but in odd sizes you cant have this. In 640-EdL you cant have pure fifth of 3/2 but in 642-EDL you can have it(642/428=3/2).

Fretting of string instrument like divan,tar,baghlama , guitar and so on regardless of compensation (which change N-EDL to N'-EDL , N'<N) is related to this system.

For example , consider a 640 mm length of string . you want to fret your instrument like tanbour of baghdad in 40-EDL . you have 40-EDL intervals as :

0:-- 1/1 -- 0.000 unison, perfect prime

1: -- 40/39 -- 43.831 tridecimal minor diesis

2: -- 20/19 -- 88.801 small undevicesimal semitone

3: -- 40/37 -- 134.970

4: -- 10/9 -- 182.404 minor whole tone

5: -- 8/7 -- 231.174 septimal whole tone

6: -- 20/17 -- 281.358 septendecimal augmented second

7: -- 40/33 -- 333.041

8: -- 5/4 -- 386.314 major third

9: -- 40/31 -- 441.278

10: -- 4/3 -- 498.045 perfect fourth

11: -- 40/29 -- 556.737

12: -- 10/7 -- 617.488 Euler's tritone

13: -- 40/27 -- 680.449 grave fifth

14: -- 20/13 -- 745.786 tridecimal semi-augmented fifth

15: -- 8/5 -- 813.686 minor sixth

16: -- 5/3 -- 884.359 major sixth, BP sixth

17: -- 40/23 -- 958.039

18: -- 20/11 -- 1034.996 large minor seventh

19: -- 40/21 -- 1115.533 acute major seventh

20: -- 2/1 -- 1200.000 octave

You must find psitions of intervals with these distances on string length in mm from nut :

0

16

32

48

64

80

96

112

128

144

160

176

192

208

224

240

256

272

288

304

320

But you must consider compensation so the octave fret on neck of string is less than 320mm from nut. you must first find the exact position of octave fret on neck then double it to have new EDL system to have your new positions of fret.

You see that here you havn't any fifth.so two string of tanbour of baghdad were tuned in fourth.

As I told before string lengths and compensation and .... impose tuning systems to your instrument.

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

www.harmonytalk.com/archives/000288.html

My article in DrumDojo:

www.drumdojo.com/world/persia/tonbak_acoustics.htm

________________________________

From: tuning@yahoogroups.com [mailto:tuning@yahoogroups.com] On Behalf Of Ozan Yarman
Sent: Tuesday, March 21, 2006 11:24 PM
To: Tuning List
Subject: Re: [tuning] Re: reality of using tuning systems in fretted instruments

Brother, remind me again what the difference between EDL and EDS was with some examples?

Cordially,

Oz.

----- Original Message -----

From: Mohajeri Shahin <mailto:shahinm@kayson-ir.com>

To: tuning@yahoogroups.com

Sent: 16 Mart 2006 Perşembe 6:04

Subject: RE: [tuning] Re: reality of using tuning systems in fretted instruments

Dear Aaron

I know all the things you wrote , Please notice to EDL , it is not the same as EDO : EDL is equal divisions of length as discussed before in group in some mail , It is proposed by ozan instead of my EDS(equal divisions of string).

Best for you

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>

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