Yahoo Tuning Groups Ultimate Backup tuning FW: [tuning] Re: is this scale special?

Hi all

this scale :

>>>0: 1/1
>>> 1: 73.534 cents
>>> 2: 350.978 cents
>>> 3: 424.511 cents
>>> 4: 498.045 cents
>>> 5: 775.489 cents
>>> 6: 849.022 cents
>>> 7: 1126.466 cents
>>> 8: 2/1
>>

has this structure :

a=73.534

b=277.444

abaababa

now , I change it to

a=90

b=250

c=a+b = 340

to have 2 pack of (aba) and center of (c) as : abacaba

90.

340.

430.

770.

860.

1110.

1200.

Sounding good to me!! Between arabic taste and persian chahargah.

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: Monday, April 10, 2006 9:07 AM
To: tuning@yahoogroups.com
Subject: Re: [tuning] Re: is this scale special?

Jacob escreveu:
> --- In tuning@yahoogroups.com, "Carl Lumma" <clumma@...> wrote:
>
>>> 0: 1/1
>>> 1: 73.534 cents
>>> 2: 350.978 cents
>>> 3: 424.511 cents
>>> 4: 498.045 cents
>>> 5: 775.489 cents
>>> 6: 849.022 cents
>>> 7: 1126.466 cents
>>> 8: 2/1
>>
>>It seems weird to me -- many folks give the output of scala's
>>show command instead of the contents of the .scl file...

Is there any option (for ``show'') to print the scale on screen without
the pitch indexes, or yet better, in .scl format?

(BTW, I am having problems to paste data to Scala from X clipboard.)

[...]
> I wasn't clear. With this scale one can play a P4 or P5 and move
> parallel up the scale and have this interval always be P4 or P5.
> That's the magic. With pythagorean, you get wolves (tritones) in your
> parallel motion.
>
> The even-number cardinality has a lot to do with it. Tcherepnin mode
> of 12 (3 1 3 1 3 1) does the same. As does 8-tone scale with
> (4/3)^(1/4) as generator. Hmm...so what about (16/3)^(1/4)? Yup. But
> not 32/3.
>
> The only case of interval-class-pairs being inversions of one another?

I would describe that as: a single interval class with exactly two
sizes: 3/2 and 4/3. For the scales referred to, with 8 tones, ic4 is the
central interval class. Perhaps the number `n' in (3^x/2^y)^(1/n) is
related to the number of steps the scale should have to show that property?

Here is an scale based on ((3/2)^(1/3)):

!
chain of 6 intervals of (3/2)^(1/3) reduced into 2/1
6
233.985
467.970
701.955
935.940
1169.925
2/1
!

The intervals are:

1: 1 30.075 cents
1: 5 233.985 cents
2: 2 264.060 cents
2: 4 467.970 cents
3: 3 498.045 cents
3: 3 701.955 cents
4: 4 732.030 cents
4: 2 935.940 cents
5: 5 966.015 cents
5: 1 1169.925 cents

Here, ic3 is either 3/2 or 4/3.

Cheers,
Hudson

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FW: [tuning] Re: is this scale special?

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