Re: Diminished scale

> C D Eb F F# G# A B
> or
> C Db Eb E F# G A Bb

Is this also called "symmetrical scale", or is that something else?
In any event I've always been quite fond of it and have worked a bit
with a Just Intonation version (based on 6/5, 7/5 and 3/2) which is
graphically depicted at

http://www.aic.nrl.navy.mil/~wauchope/audio/tuning/symscale.html

Like the whole tone scale it cannot be perfectly symmetrical in JI,
but this version does have a nice bilateral symmetry.

--Ken Wauchope

Ken Wauchope wrote:

> > C D Eb F F# G# A B
> > or
> > C Db Eb E F# G A Bb
>
> Is this also called "symmetrical scale", or is that something else?

There are several symmetrical scales, and this is one of them; namely, the symmetrical octatonic scale. Another in 12-tET is the augmented scale (C Eb E G G# B), otherwise known as the symmetrical hexatonic scale. A great one in 15-tET is Blackwood's symmetrical decatonic scale (degrees 0 2 3 5 6 8 9 11 12 14), where the roots of the five major triads form one closed circle of fifths, and the roots of the five minor triads form another one.

> In any event I've always been quite fond of it and have worked a bit
> with a Just Intonation version (based on 6/5, 7/5 and 3/2) which is
> graphically depicted at
>
> http://www.aic.nrl.navy.mil/~wauchope/audio/tuning/symscale.html
>
> Like the whole tone scale it cannot be perfectly symmetrical in JI,

And more importantly, it does not have as many consonant triads as the ET version.