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

2/26/2006 6:01:16 AM

Dear paul

hi

After reading your sent article , I saw order in setting of intervals in
scale. For example in NAUTLIUS TOP , the order is :

If 41 cent =a

If 42 cent = b

And b=a+1 and na=nb+1

We have na=15 from (a) and nb=14 from (b) and the setting in this top is
:

ababababababab(a)bababababababa

Now we can have a circle by connecting start and end of the line so, 2
(a) are next to each other) and octave is placed in point of connection

Another example :

In magic top we have structure with a=27.52 and b=31.36 and na=22 and
nb=19 :

We have 2 number of this setting :(bababababab) or 6b+5a as package A
and 1 number of this setting : ( babababababab ) or 7b+6a as package B .
the n we have final structure as aAaa(B)aaAa , (B) is center of symmetry
.now if we connect start and end of the line we can have a circle which
octave is point of connection.

In meantone top we have :

a=41.06

b=35.13

A=(bab)

structure :aAaabaaAaa(A)aaAaabaaAa. (A) is center of symmetry.octave is
point of connection of start and end of the line.

Now I have an example : consider

a=35 with na=20

b=33 with nb=15

structure is : aabaabababababababababababababaabaa

35 70 103 148 183 216 ........... 1195

what is your view?

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