Re: [tuning] Dan Sterns' 20t-ET

Joseph Pehrson wrote,

Frankly, I'm experiencing the "minor" tetrad as actually MORE stable
as a "tonic" than the major.

One of the harmonic and subharmonic identities I tried out when I was
working on this was 15:17:20:22:25. Try these two out. The "major" C B
A K J here is an utonal 1/(25:22:20:17:15) pentad, and the "minor" C B
Ab K J is the otonal pentad:

25/17
. ` /
25/22 /
. `'\ /
. ` \ /
. ` ' \ /
5/3-------------5/4
/ ' ' /
/ \ /
/ ' \ ' /
/ \ /
/ ' \ ' /
/ \ /
/ ' ' /
4/3-------------1/1
/ \ ' . `
/ \ . `
/ \'. `
/ . 22/15
/. `
17/15

> In this sense, the system is surely different from 12t-ET, of
course, where BOTH the major and minor chords can serve equally as a
"grounding" point. Well, at least that's what I'm hearing...

Oh yes, It's surely different - No doubts about that! It's really only
the structural design and shape that is undergoing some metamorphic
distortions and saturations... "giving rise to strange creations,"
etc.

> I tried some of the other chords you mentioned... but they really
were too complex for my ear with this scale now... I'm still trying to
figure out what I'm hearing in the basic major and minor tetrads!

Try the two harmonic and subharmonic pentads I gave and let me know if
the both the major and minor chords now don't perhaps seem to serve
equally as grounding points (with the stronger or smother of the two
being the harmonic "minor" chord).

thanks for sticking an ear on it,
Dan