Gene's exotic scales and scalecoding

Here is the scalecoding analysis of the scales which Gene mentioned.

I appreciate that the N.I.H. (not invented here) principle is likely to influence critical thinking;
yet this system seems to work very well for scale organisation.
The system developed out of a taped discussion late one evening at John Gibbon's
Crystal House, in the Los Angeles Forest above Tujunga;
between John, Jonathan Glasier, and myself in the late 80's.

How it works is here:

http://www.lucytune.com/new_to_lt/pitch_05.html

Diminished diatonic: C Db E Fb G Ab Bb

FbCbGbDbAbEbBbFCGDAE

12/23681112/9

Enharmonic major: C D E F G Bbb B

BbbFbCbGbDbAbEbBbFCGDAE

13/234567813/10

Enharmonic mixolydian: C D E F G Bbb Bb

BbbFbCbGbDbAbEbBbFCGDAE

13/23456713/10

Enharmonic major-minor: C D E E# G Ab Bb

AbEbBbFCGDAEBF#C#G#D#A#E#

15/248101112131415/5

I would have lined these up these figures in a fixed width text e.g. Courier, except from previous experience I
found that Yahoo groups uses some variable width system.

About ten year ago, I actual wrote a program in AmigaBasic which would work out the scalecoding
for any group of notenames the user chose to input. Along with three dead Amigas, a few broken
floppies and Amiga hard drives, it remains neglected in our London attic. I should still have a couple
of old Amigas in one of our Hawaii houses, so maybe I'll actually get to fixing it one fine day.

Maybe I should get a good code monkey to rewrite it for me into some contemporary universal format,
as it does actually tell the user much about a scale, and provide a unique description regardless of key.

Some interest from tunaniks might encourage me;-)

On 15 Jun 2006, at 10:09, tuning-math@yahoogroups.com wrote:

>
> Diminished diatonic: C Db E Fb G Ab Bb
> Enharmonic major: C D E F G Bbb B
> Enharmonic mixolydian: C D E F G Bbb Bb
> Enharmonic major-minor: C D E E# G Ab Bb
>
>

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--- In tuning@yahoogroups.com, Charles Lucy <lucy@...> wrote:

> Diminished diatonic: C Db E Fb G Ab Bb
>
> FbCbGbDbAbEbBbFCGDAE
>
> 12/23681112/9

The number before the first slash is the extent of the scale along the
circle of fifths, what tuning-mathites have been calling Graham
complexity. The second number, after the last slash, your page doesn't
seem to define.

However, the main problem with this is that you run the numbers
together; 12/2 3 6 8 11 12/9 would be much clearer. I've been using
[0,2,3,6,8,11,12] for this kind of thing, which may strike you as
overkill, but it allows you to feed it back into the maw of a machine
quite easily for certain programs.

Charles,

Any invention that works is A Good Thing. ;-) Whoever
refuses to ride a bicycle because they didn't think of
it first?

Your "scalecoding" system is ingenious, but surely it's
limited to an analysis in terms of the spiral of fifths?
If so, can it really describe a construction in terms of
a path through a lattice of, say, 4:5 major thirds and
4:7 harmonic sevenths? Perhaps you've made adaptations
or allowances in your system for this kind of thing. If
not, I invite you to consider it.

Regards,
Yahya

--- In tuning@yahoogroups.com, Charles Lucy <lucy@...> wrote:
>
> Here is the scalecoding analysis of the scales which Gene
> mentioned.
>
> I appreciate that the N.I.H. (not invented here) principle
> is likely to influence critical thinking; yet this system
> seems to work very well for scale organisation. The system
> developed out of a taped discussion late one evening at
> John Gibbon's Crystal House, in the Los Angeles Forest
> above Tujunga; between John, Jonathan Glasier, and myself
> in the late 80's.
>
> How it works is here:
>
> http://www.lucytune.com/new_to_lt/pitch_05.html
>
>
>
> Diminished diatonic: C Db E Fb G Ab Bb
>
> FbCbGbDbAbEbBbFCGDAE
>
> 12/23681112/9
>
>
> Enharmonic major: C D E F G Bbb B
>
> BbbFbCbGbDbAbEbBbFCGDAE
>
> 13/234567813/10
>
> Enharmonic mixolydian: C D E F G Bbb Bb
>
> BbbFbCbGbDbAbEbBbFCGDAE
>
> 13/23456713/10
>
> Enharmonic major-minor: C D E E# G Ab Bb
>
> AbEbBbFCGDAEBF#C#G#D#A#E#
>
> 15/248101112131415/5
>
> I would have lined these up these figures in a fixed width
> text e.g. Courier, except from previous experience I found
> that Yahoo groups uses some variable width system.
>
> About ten year ago, I actual wrote a program in AmigaBasic
> which would work out the scalecoding for any group of
> notenames the user chose to input. Along with three dead
> Amigas, a few broken floppies and Amiga hard drives, it
> remains neglected in our London attic. I should still have
> a couple of old Amigas in one of our Hawaii houses, so
> maybe I'll actually get to fixing it one fine day.

I hate it when people brag about wasting a resource
I never got my hands on ...!

> Maybe I should get a good code monkey to rewrite it for me
> into some contemporary universal format, as it does actually
> tell the user much about a scale, and provide a unique
> description regardless of key.
>
> Some interest from tunaniks might encourage me;-)

Tunaniks? Fish-nappers? 8-O

> On 15 Jun 2006, at 10:09, tuning-math@yahoogroups.com wrote:
>
> > Diminished diatonic: C Db E Fb G Ab Bb
> > Enharmonic major: C D E F G Bbb B
> > Enharmonic mixolydian: C D E F G Bbb Bb
> > Enharmonic major-minor: C D E E# G Ab Bb