JI/modulation

I just saw a post where someone mentioned modulating in JI...I have written a piece for fretless guitar tuned 1/1 5/4 3/2 7/4 35/32/ 21/16, and being an ear player, I am moving notes all over the place, and they sound and feel right...I actually don't know, intellectually, the actual notes I'm playing, or how they're relating to the basic tuning. And, I have a question for you theory guys...I noticed that a lot of the harmonics in this tuning match up pretty well with one of Erv Wilson's stellated hexany's...so, what is a SH, and why does my tuning synch up with it? Best...Hstick

Hiya Neil!

Good to hear from you! What's going on in Denver land?
Have you found a replacement for John? -- Yeah right! :(

> I just saw a post where someone mentioned modulating
> in JI...I have written a piece for fretless guitar tuned
> 1/1 5/4 3/2 7/4 35/32/ 21/16,

How'd you come up with this open tuning?

> and being an ear player, I am moving notes all over the
> place, and they sound and feel right...I actually don't
> know, intellectually, the actual notes I'm playing, or
> how they're relating to the basic tuning.

The ear is a sage guide.

> And, I have a question for you theory guys...I noticed
> that a lot of the harmonics in this tuning match up
> pretty well with one of Erv Wilson's stellated hexany's...
> so, what is a SH, and why does my tuning synch up with it?
> Best...Hstick

Not sure what you mean by the harmonics matching up, but
a hexany is a 6-note scale (duh) that has 8 triads in JI.
Typically it's expressed in the 7-limit (where the "basis"
is 1,3,5,7) but one could express it with basis of any
four numbers one likes -- 3,7,11,17, for example. Looks
like your open tuning is 7-limit, though, so if you're
matching up with some kind of hexany, I'm guessing it's a
7-limit one.

So... a "stellated hexany" is a hexany with each of the
eight triads completed to a tetrad. In the typical
7-limit case it has 14 notes (6 original notes plus one
note to complete each of the 8 triads = 14).

Is this making any sense?

One thing you might try, since guitars have six strings,
is an open tuning based on a hexany. I wonder what it
would lead to... Here's one to try if you like:

35/32
5/4
21/16
3/2
7/4
15/8

-Carl

I wrote...

>One thing you might try, since guitars have six strings,
>is an open tuning based on a hexany. I wonder what it
>would lead to... Here's one to try if you like:
>
>35/32
>5/4
>21/16
>3/2
>7/4
>15/8

Dunno how well this would fit onto your axe. It doesn't
fit very well with a standard open tuning... which only
has 5 unique notes... but the open tuning you gave also
had 6 notes.

-Carl