about EDSL ,......, RE: [tuning] again about ADO , EDO and ....

My dear brother ozan

1- we know that the acoustical properties of vibrating pipe with 2-end opened is very different from strings , so for a pipe , the hole in middle of the pipe is not octave ( as I have seen in persian nay).

So I think your proposal for pipes is not applicable because the length of pipe is not real and you must add correction to it.

2- .....22/26 for perde Dugah

I think 22/26 must be 26/22 , for , as you think about a pipe of 26 cm , for a hole in 22 cm from its mouthpiece , the length is 22 and so we have 26/22

3- the equal divisions is applicable only for strings and EDL denotes to it and your terms as:

ADSL= Arithmetic Divisions of String Lenght,

EDSL= Equal Divisions of String Lenght,

Are equal to ADO and EDL.

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, April 25, 2006 3:52 AM
To: tuning@yahoogroups.com
Subject: Re: [tuning] again about ADO , EDO and ....

I propose the following distinctions:

ADSL= Arithmetic Divisions of String Lenght,

ADPL= Arithmetic Divisions of Pipe Lenght,

EDSL= Equal Divisions of String Lenght,

EDPL= Equal Divisions of Pipe Lenght,

where P above is subject to volume, air pressure, so on...

For the Ney, the basic method is 26-EDPL:

26/26 is the hole for perde Rast

22/26 for perde Dugah

21/26 for perde Kurdi

20/26 for perde Segah

18/26 for perde Chargah

17/26 for perdes Hijaz & Saba

16/26 for perde Neva

13/26 for perde Acem

I still expect some good soul to come forward and help with the calculations of how these ratios end up with approximately these ratios:

0: 1/1 0.000 unison, perfect prime
1: 9/8 203.910 major whole tone
2: 32/27 294.135 Pythagorean minor third
3: 56/45 378.602
4: 4/3 498.045 perfect fourth
5: 10/7 617.488 Euler's tritone
6: 3/2 701.955 perfect fifth
7: 16/9 996.090 Pythagorean minor seventh

We have LDO, ADO, EDO besides. There was also some equal frequency increment thing that I do not recollect exactly.

What should we do with the lot?

Cordially,

Oz.

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

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

To: tuning@yahoogroups.com

Sent: 20 Nisan 2006 Perşembe 5:50

Subject: [tuning] again about ADO , EDO and ....

Dear all

I and ozan talked before about ADL (arithematic divisions of length ), he proposed term of ADL:

/tuning/topicId_66074.html#66074

about ADO-EDL,....

/tuning/topicId_63105.html#63105

ozan example :

/tuning/topicId_63105.html#63125

LDO:mine

/tuning/topicId_63105.html#63179

and ozan example :

/tuning/topicId_63105.html#63255

Shaahin Mohaajeri

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Dear Mohajeri,

It is indeed a fact that string divisions do not equate to pipe divisions. That is why I propose the distinction EDSL vs. EDPL.

The phenomenon you observed in the Persian Nay is similar to that of the Turkish Nay, where the interval between `all-holes closed` to `middle-back open` is an octave minus a whole-tone.

The correction amount is said to be the addition of 0.613 times the diameter of the pipe in unit lenghts to its lenght. However, this solution is not applicable to reeds other than those with both ends open.

Think of 26/26=1 as the unit lenght of a Mansur Nay.

22/26 gives 0.85 of a Mansur Ney for hole of Dugah,
21/26 gives 0.81 for hole of Kurdi,
20/26 gives 0.77 for hole of Segah,
18/26 gives 0.69 for hole of Chargah,
17/26 gives 0.65 for hole of Hijaz/Saba,
16/26 gives 0.61 for hole of Nawa,
13/26 gives 0.5 of the total lenght for hole of Acem.

Does this not equate to 7 out of 26-EDPL for a Mansur Nay?

Cordially,
Ozan

----- Original Message -----
From: Mohajeri Shahin
To: tuning@yahoogroups.com
Sent: 29 Nisan 2006 Cumartesi 10:41
Subject: about EDSL ,......, RE: [tuning] again about ADO , EDO and ....

My dear brother ozan

1- we know that the acoustical properties of vibrating pipe with 2-end opened is very different from strings , so for a pipe , the hole in middle of the pipe is not octave ( as I have seen in persian nay).

So I think your proposal for pipes is not applicable because the length of pipe is not real and you must add correction to it.

2- …..22/26 for perde Dugah

I think 22/26 must be 26/22 , for , as you think about a pipe of 26 cm , for a hole in 22 cm from its mouthpiece , the length is 22 and so we have 26/22

3- the equal divisions is applicable only for strings and EDL denotes to it and your terms as:

ADSL= Arithmetic Divisions of String Lenght,

EDSL= Equal Divisions of String Lenght,

Are equal to ADO and EDL.

Shaahin Mohaajeri