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Re: Gene's exotic scales and scalecoding - The final number after the last / is the position of the "tonic".

🔗Charles Lucy <lucy@harmonics.com>

6/16/2006 11:34:20 AM

Yes I agree it may be clearer using comma separation between the position numbers for the "missing" notes, and also may be easier for programming.
The last number of the scalecoding, is the position in the chain of fifths of the note which is most likely to be the "tonic"
or "starting note" as usually used in the ascending sequence of different notes: [ although which note this is can sometimes be debatable;-)]

Gene wrote:

Re: Gene's exotic scales and scalecoding
Posted by: "Gene Ward Smith" genewardsmith@coolgoose.com genewardsmith
Thu Jun 15, 2006 12:59 pm (PST)

--- 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.

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