Yahoo Tuning Groups Ultimate Backup tuning re: (was: about ozan system)

Hi yahya

1- I always do my calculations in excell spreadsheet with copy-paste the
results to scala.for example for working on ozan system , instead of
using commands of scala , I designed the system in excell very simple.

2- you propoesd 13 equal intervals in f-g. For na=132 and nb=26 we have
interval of 600 cent as symmetry center.

3- consider fifth as 700 and fourth as 500 cent then f-g with nb=26 is a
part of 156-edo and c-f and g-c' with na=66 are part of 158-edno or
159-edno based on 66-ed(500c)

So we see that we have a hybrid structure of edo and nedo systems with 2
different packages . if we had na=65 then we could have only 156-edo .

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 Yahya Abdal-Aziz
Sent: Wednesday, March 08, 2006 5:56 AM
To: tuning@yahoogroups.com
Subject: [Possible SPAM] [tuning] Using Scala, and constant structures
(was: about ozan system)

Hi all,

On Tue, 7 Mar 2006, Ozan Yarman wrote:
>
> Splendid suggestion! Although the jump from B to Gb is a little wide
for
my
> tastes, one can overlook that particular glitch in this alternative
version
> you suggest:
>
> Run SCALA
>
> File>New>Equal Temperament>33 equal divisions of 4/3
> command prompt>copy (scale number) 0 to (scale number) 1
> File>New>Equal Temperament>13 equal divisions of 9/8
> Modify>Move>raise all pitches after degree 0 by 4/3
> Combine>Merge>With (scale number) 1
> command prompt>copy (scale number) 0 to (scale number) 1
> File>New>Equal Temperament>33 equal divisions of 4/3
> Modify>Move>raise all pitches after degree 0 by 3/2
> Combine>Merge>With (scale number) 1
> command prompt>set nota e79
>
> Voila!

[snip]

One requires 636-tET to approximate all intervals with an error of less
than
1 cents.

Here is the cycle:
[snip]

> > Depending on what kinds of F# and Gb you wanted,
> > (assuming you are using this for maqam music, you
> > probably do want these), there are several other
> > ways to fill the 9/8 gap between F and G. The most
> > obvious of these still gives only two step sizes, and
> > divides the 9/8 gap into 13 equal steps each of
> > (701.954 - 498.045)/13 = 203.909/13 = 15.685 cents.
> >
> > a=15.092
> > b=15.685
> > na=66
> > nb=13
> >
> > The step sizes a and b are much closer to each other
> > than in Ozan's tuning.
> >
> > This is symmetrical about 600 cents, which is NOT a
> > scale degree, but falls exactly between degrees 39
> > and 40 of the scale, which are at 592.155 & 607.840
> > cents.
> >
> > The important questions here are: what notes between
> > F and G do you want to approximate well, and how
> > closely?

Oz, I'm glad you're pleased with it. :-)

The jump from Cb to Gb is 699.4 cents, not a bad fifth.
When would you want to jump from B to Gb? 8-0
Speaking for myself, I can't see it as a natural melodic
movement.

I'm also pleased that you supplied the Scala "recipe"
for creating the tuning, as there must be others who,
like me, find Scala a bit daunting to use. For myself,
I have no trouble with using a command-line interface,
or even with scripting - I was the very devil with both
DOS batch files and unix scripts, even writing useful
production systems in the latter. The only difficulties
I really find with Scala are -

1) Knowing which command to use to get the sounds or
info I need; and

2) Understanding what all the info Scala produces
really _means_.

On the latter point, I recently hinted I'd like to
understand the idea of "constant structures" in
tuning better. Can anyone explain this idea simply,
please?

Regards,
Yahya

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re: (was: about ozan system)

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