SCALA and Harmonc 7th FRACTAL scale Question

SCALA and Harmonc 7th FRACTAL scale Question

I've just started using Scala (many thanks to Carl Lumma) , am somewhat new to music theory. Recently I wanted to construct a 60 note pythagorean just temperment
and so used the following commands with the software 'Scala', found at;
http://www.xs4all.nl/~huygensf/scala/
The commands I used were;
type "pythag" in the box at the bottom, followed by
the following answers to the prompts:
size= 60
formal octave= [return]
fifth degree= [return]
formal fifth= 3/2
count downwards= [return]
type "show"
This gave me a listing of the ratios (fractions) for the complete musical scale.
HOWEVER,
I'd like to do the same thing for a completely different type of scale, an unsual one;
(what are the commands to use? I looked everywhere in the app but couldn't figure out how to do this)
(Parameters below)
Scale based on;
7 to 4 ratio of the natural seventh harmonic creates a new musical scale, a five tone, pentatonic scale.
Natural five tone octave intervals based on seventh harmonic
fundamental of the 7th is 12 Hertz, 7/4
It has no melodies, rhythms or other forms or order found in other music. It sounds almost completely chaotic, unpredictable
The ratio of these numbers is the division of seven, an interval between the overtones not used in other harmonic structures. 7/7, 7/6, 7/5, 7/4, 7/3, 7/2, 7/1. Out of this structure of fundamental tones, emerges five intervals. By doubling the five-tone scale we attain the oldest existing scale tenfold scale, called the Slendro scale, much older then the Pythagorean sevenfold octave.
The one seventh interval is different from the major second of 1/9 and 1/10. When used, however, this 1/7th interval will divide the octave into five parts.
The basic tone is 12 Hertz � the real basic tone � the equivalent to �C� of the seven-tone scale.
The seventh overtone divides the octave into five intervals. As the fifth tone will be the octave, the value of the intervals is:
First root of five,
Second root of five,
Third root of five,
Fourth root of five,
Octave.
==============================
As mentioned, the frequency and harmonics of the natural acoustic seventh are dissonant when compared to virtually all known tuning systems of the world. Although the acoustic seventh is avoided as an unacceptably sour note, the interval is still always present as a natural acoustic phenomenon. The seventh harmonic can be heard as an overtone or undertone in some instruments, particularly those rich in timbre (which means harmonics) such as a violin.
When the acoustic seventh is taken as the basic interval for the creation of a musical scale, new tones and intervals (distances between the notes) result. The 7 to 4 ratio of the natural seventh harmonic creates a new musical scale, a five tone, pentatonic scale.
What unique effective temperament system based on the natural harmonics of the seventh itself would give the best resuts to get a functionaing music scale, NOT based on square root of 2, and what would it look like based on the square root of two?

---------------------------------
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Why not enter 7/4 as your formal fifth if you want a Pythagorean
scale based on that interval? If you want to "fret" 7 so to speak
you can just enter your 7/x intervals in create/edit new scale.

--- In tuning@yahoogroups.com, dar kone <zarkorgon@...> wrote:
>
> SCALA and Harmonc 7th FRACTAL scale Question
>
> I've just started using Scala (many thanks to Carl Lumma) , am
somewhat new to music theory. Recently I wanted to construct a 60
note pythagorean just temperment
> and so used the following commands with the software 'Scala',
found at;
> http://www.xs4all.nl/~huygensf/scala/
> The commands I used were;
> type "pythag" in the box at the bottom, followed by
> the following answers to the prompts:
> size= 60
> formal octave= [return]
> fifth degree= [return]
> formal fifth= 3/2
> count downwards= [return]
> type "show"
> This gave me a listing of the ratios (fractions) for the
complete musical scale.
> HOWEVER,
> I'd like to do the same thing for a completely different type of
scale, an unsual one;
> (what are the commands to use? I looked everywhere in the app
but couldn't figure out how to do this)
> (Parameters below)
> Scale based on;
> 7 to 4 ratio of the natural seventh harmonic creates a new
musical scale, a five tone, pentatonic scale.
> Natural five tone octave intervals based on seventh harmonic
> fundamental of the 7th is 12 Hertz, 7/4
> It has no melodies, rhythms or other forms or order found in
other music. It sounds almost completely chaotic, unpredictable
> The ratio of these numbers is the division of seven, an interval
between the overtones not used in other harmonic structures. 7/7,
7/6, 7/5, 7/4, 7/3, 7/2, 7/1. Out of this structure of fundamental
tones, emerges five intervals. By doubling the five-tone scale we
attain the oldest existing scale tenfold scale, called the Slendro
scale, much older then the Pythagorean sevenfold octave.
> The one seventh interval is different from the major second of
1/9 and 1/10. When used, however, this 1/7th interval will divide
the octave into five parts.
> The basic tone is 12 Hertz ? the real basic tone ? the
equivalent to ?C? of the seven-tone scale.
> The seventh overtone divides the octave into five intervals. As
the fifth tone will be the octave, the value of the intervals is:
> First root of five,
> Second root of five,
> Third root of five,
> Fourth root of five,
> Octave.
> ==============================
> As mentioned, the frequency and harmonics of the natural
acoustic seventh are dissonant when compared to virtually all known
tuning systems of the world. Although the acoustic seventh is
avoided as an unacceptably sour note, the interval is still always
present as a natural acoustic phenomenon. The seventh harmonic can
be heard as an overtone or undertone in some instruments,
particularly those rich in timbre (which means harmonics) such as a
violin.
> When the acoustic seventh is taken as the basic interval for the
creation of a musical scale, new tones and intervals (distances
between the notes) result. The 7 to 4 ratio of the natural seventh
harmonic creates a new musical scale, a five tone, pentatonic scale.
> What unique effective temperament system based on the natural
harmonics of the seventh itself would give the best resuts to get a
functionaing music scale, NOT based on square root of 2, and what
would it look like based on the square root of two?
>
>
>
> ---------------------------------
> Want to be your own boss? Learn how on Yahoo! Small Business.
>