Re: [tuning] Symmetry?

Chamelle!
You could also use it as in "Moments of Symmetry" where each interval is always subtended
by the same number of notes. see http://www.anaphoria.com/mos.html . also i could imagine
using the term to call a scale that used two repeating tetrachords that were identical. The
world of scales seems to have different "logic". those scales that you describe as symmetrical
are so in a very mathematical sense yet they seem not to have "caught on for the most part.
Out of all of these types i like the one that alternates semitones with whole tones.

Chamelle Leon wrote:

> Isn't it true that one could correctly use the term "symmetry" in both the
> sense of describing scales in terms of symmetrical semitonic scale steps
> (like the whole tone scale), or when a just scale has a series of ascending
> ratios which are mirrored downward from the 2/1 by inversion (1/1, 16/15,
> 9/8, 6/5, 5/4, 4/3, 7/5, 10/7, 3/2, 8/5, 5/3, 16/9, 15/8, 2/1)?
>
> Regards,
>
> Chamelle
> ________________________________________________________________________
>

-- Kraig Grady
North American Embassy of Anaphoria island
www.anaphoria.com

Chamelle wrote,

>Isn't it true that one could correctly use the term "symmetry" in both the
>sense of describing scales in terms of symmetrical semitonic scale steps
>(like the whole tone scale), or when a just scale has a series of ascending

>ratios which are mirrored downward from the 2/1 by inversion (1/1, 16/15,
>9/8, 6/5, 5/4, 4/3, 7/5, 10/7, 3/2, 8/5, 5/3, 16/9, 15/8, 2/1)?

Yup -- the former would be transpositional symmetry, while the latter would
be inversional symmetry.