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an experiment in 7- ED(5/2)

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

2/6/2006 1:56:40 AM

Hi

You can hear a sample in this 7- ED(5/2) :

0:-- 1/1

1:-- 226.616 cents

2:-- 453.232 cents

3:-- 679.849 cents

4:-- 906.465 cents

5:-- 1133.081 cents

6:-- 1359.697 cents

7: -- 1586.314 cents

in : /tuning/files/shaahin/ New2.mp3

according to the intervallic package i generated a inharmonic sound sample by sound forge and magix, sounding like a metalic idiophone and then composed in magix :

cent \\\\\\\\\\\\\\\\\\\\\\\\\\\\ Hz

0 \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\ 110

1586.313714 \\\\\\\\\ 275

2492.778693 \\\\\\\\\ 464.2233534

3172.627428 \\\\\\\\\ 687.5

3625.859917 \\\\\\\\\ 893.2434655

4079.092407 \\\\\\\\\ 1160.558384

4532.324897 \\\\\\\\\ 1507.870826

4758.941142 \\\\\\\\\ 1718.75

4985.557386 \\\\\\\\\ 1959.121108

5212.173631 \\\\\\\\\ 2233.108664

5438.789876 \\\\\\\\\ 2545.414004

5665.406121 \\\\\\\\\ 2901.395959

5892.022366 \\\\\\\\\ 3307.162802

6118.638611 \\\\\\\\\ 3769.677064

6345.254855 \\\\\\\\\ 4296.875

fortunately or unfortunately I am looking for melodic taste in inharmonic tones or harmonic tones .

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 Hudson Lacerda
Sent: Sunday, February 05, 2006 5:24 AM
To: tuning@yahoogroups.com
Subject: Re: [tuning] about naming tritave and ......

Mohajeri Shahin escreveu:
> Hi rich holmes , dear freind
>
> As if you are very allergic to this word , Sorry i made you angry ,
> although this word is being used :
> http://tonalsoft.com/enc/e/equivalence-interval.aspx ,
> http://en.wikipedia.org/wiki/Bohlen-Pierce_scale

Sure, but "used" is not the same than "properly used".

(It seems that Pierce or Mathews coined the word "tritave", it that
correct?)

> I thought may be there is a refrence for naming intervals greater than
> octave . any how, I am over with it !!!!

At least in Portuguese (other languages too, I think), we have
expressions that correspond to "compound third" (10th), "compound fifth"
(12th) and so on. Not optimal however, because all these: 9th, 16th and
23th are "compound seconds".

Yet: when a scale has no 8 notes for octave (inclusive), it does not
make *really* sense to use the word "octave" for 2/1!

The precise meaning of intervals is catch by frequency ratios. Why avoid
them? If we shall create new words, "tritave" is not a model to follow.

> So if we have 3/1 then i think bohlen-pierce scale as an EDI system
> (EQUAL DIVISION OF INTERVAL) with I=3/1or ED(3/1).
>
> Now Here is ED(5/2) system with steps of 226.6 cent:
[...]
> It is approximately in 7-limit rational system as scala reported :
[...]
> You can test it , sounding good to me !

Interesting, but, honest, 226.6 cents is an analysis unit too big for
me. I will try 14 steps in 5/2.

Gene asked about avoiding octaves (concerning to the choice to do not
the octave as equivalence interval). I like the idea to tinkering with
other modulos; BP is a good example of a non-octave scale.

I have a related question: BP works well for odd-harmonics, and sounds
somewhat hard if one uses also even-harmonics. Which partials are you
using for modulo 5/2? Are using (or planning to use) inharmonic tones?
Please note that a 2/1 ratio is implied in 5/2, if you want to use
harmonic timbres, then octaves will be there...

For non-octave equivalence, I think this is an important question: how
to make understandable by ear the intended equivalence interval? Octave
intervals inside the scale can be distracting (a potencial problem for
BP music: there are distracting "mistuned-octave" intervals), so the
timbre is decisive.

BTW, the 1133.081 cents interval in your scale sounds very interesting
in homogeneous superpositions (I tried it with an organ-like timbre).

[R.Holmes wrote:]
> And what would you name 2/1+8/4? "Octave"?

lol :-D

Regards,
Hudson

--
Hudson Lacerda <http://geocities.yahoo.com.br/hfmlacerda/>
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________________________________

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

🔗Carl Lumma <clumma@yahoo.com>

2/6/2006 1:19:17 PM

> /tuning/files/shaahin/
> New2.mp3

Neat timbre.

I also liked "shur in 53-edo.mp3". I didn't know about it. Have
you thought to also share your music on the Make Micro Music list?
It usually has a lower message volume, so it's easier for people
like me to follow.

Also, it looks like your sound files here

http://www.rhythmweb.com/gdg/

are missing

http://www.rhythmweb.com/gdg/audio/shahin-living_between_partials.mp3
http://www.rhythmweb.com/gdg/audio/titanic_hands.ram

etc.

-Carl