Topic: A fibonacci scale

1 scales

Thread (2 messages)

From: Gene Ward Smith (2005-06-07)
Subject: A fibonacci scale

The following ten note scale consists of the first thirteen Fibonacci
numbers, F1 through F13, reduced to an octave. It is CS, epimorphic
and strictly proper. Whether or not it is JI I leave to you, but I'm
not the only one to try this sort of stuff: Scala lists it as a
subscale of burt_fibo and burt_fibo23. On burt_fibo I read "Warren
Burt, 3/2+5/3+8/5+etc. "Recurrent Sequences", 2002". This scale is not
proper, or epimorphic, or CS, but is laboring under the disadvantage
of having more notes. We get the same for burt_fibo23. 

So where is Warren Burt lurking?

! fib10.scl
first thirteen fibonacci numbers reduced to the octave
10
!
17/16
9/8
5/4
21/16
89/64
3/2
13/8
55/32
233/128
2

From: Kraig Grady (2005-06-07)
Subject: Re: [tuning-math] A fibonacci scale

this scale comes from Mt Meru number 1 as burts paper are on the scales 
from therein.
 i think i remember that the 13 tone scale has intervals of almost 
exactly 100 cents.
 Is it an ET :).
 
The best scales one can get from the recurrent sequences often involves 
dropping the first few factors and on the other end before your sequence 
converges too much as to produce indentical steps within a narrow range.
 you will get a  better 13 tone byipicking a place to start where you 
don't get dublications. 3 and above at least.

 The latter does have its uses in that if you use the converged value, 
on can look at the scale as both harmonic and subharmonic

 While others might say it is not JI ( which i can understand) i include 
the non converged versions as  being JI

Gene Ward Smith wrote:

>The following ten note scale consists of the first thirteen Fibonacci
>numbers, F1 through F13, reduced to an octave. It is CS, epimorphic
>and strictly proper. Whether or not it is JI I leave to you, but I'm
>not the only one to try this sort of stuff: Scala lists it as a
>subscale of burt_fibo and burt_fibo23. On burt_fibo I read "Warren
>Burt, 3/2+5/3+8/5+etc. "Recurrent Sequences", 2002". This scale is not
>proper, or epimorphic, or CS, but is laboring under the disadvantage
>of having more notes. We get the same for burt_fibo23. 
>
>So where is Warren Burt lurking?
>
>! fib10.scl
>first thirteen fibonacci numbers reduced to the octave
>10
>!
>17/16
>9/8
>5/4
>21/16
>89/64
>3/2
>13/8
>55/32
>233/128
>2
>
>
>
>
>
>
>
> 
>Yahoo! Groups Links
>
>
>
> 
>
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>  
>

-- 
Kraig Grady
North American Embassy of Anaphoria Island <http://anaphoria.com/>
The Wandering Medicine Show
KXLU <http://www.kxlu.com/main.html> 88.9 FM Wed 8-9 pm Los Angeles