FW: to make ADL and EDL systems using scala , RE: [tuning] Re: ozan's 18 out of 79 tone improved system

Hi ozan

If I understood correctly , yes we can go beyond octave .but going into different cardinalities considering octave equivalency.have a Look at the example in ADL:

------6/12-7/12-8/12--.....12/12-13/12-----24/12-25/12-26/12-----48/12

(6/3 or 6/6)...........(12/6 or 12/12) .........(24/12 or 24/24)...........(48/24 or 48/48).......

Yes , ADO , EDO and EDL are with different natures .

If you consider 12-ado and 24-edl you have C1(ADO)+C11(EDL)=1200 CENT SO Cn(ADO)+C(12-n)(EDL)=1200 that is the trend of successive interval difference in EDL is increasingly but in ADO vice versa.

But about adl , assume to divide octave of string length of 64 cm to 8-ADL and the first part is L cm from nut on string , the others are :

L,L+D,L+2D,.....,L+7D

AND SUM OF ALL THESE LENGTH MUST BE 32.after calculating we have these cents :

0

54.96442754

128.2982447

222.3637231

340.5515592

487.7705829

671.3128903

902.4869839

1200

Good sounding !! IF YOU START FROM 222.363 YOU CAN HAVE A FLAT FIFTH OF ABOUT 680 CENT.

In ADL like EDL the trend of successive interval difference is increasingly . you know that in EDO it is constant.so we see that ADO , EDO , ADL and EDL are with different natures.

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: Saturday, April 15, 2006 12:07 AM
To: Tuning List
Subject: Re: to make ADL and EDL systems using scala , RE: [tuning] Re: ozan's 18 out of 79 tone improved system

So now we have Arithmetic as well as Equal Divisions of the Octave (ADO-EDO) and Lenght (ADL-EDL)... provided that we are talking about the ideal string of infinitesimal thickness. What about pipes and reeds?

And also, do we need to normalize a scale by 2/1 as a necessity of these definitions? Why not just say harmonic and sub-harmonic scales?

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

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

To: tuning@yahoogroups.com

Sent: 12 Nisan 2006 Çarşamba 9:18

Subject: to make ADL and EDL systems using scala , RE: [tuning] Re: ozan's 18 out of 79 tone improved system

You can make ADL and EDL systems using scala as below :

File - new-harmonic scale

If the first harmonic > last harmonic you have ADL system

If not you have EDL system

Shaahin Mohaajeri

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