Re: 4:5:6

[Miller]
>29-equal is another tuning with good triads, IIRC.

It does have good triads, but I don't know about a 4:5:6 chord. I listened
to it, and was put off by the fact that 9 steps barely approximates 5/4
better than 10. After listening more, I'm willing to include it (9 is best).

I was really looking for chords that were improving as I went higher up.
But I did say "usable" and I did include 15 and 22, so to be fair I should
also add 27, which beats 29, and 25, which is hardly worse than 12. 26
doesn't cut it.

25 has a killer 4:5:7 chord, but it isn't 7-limit consistent, and adding
the :6 makes me want to raise the :7 a step...

Of course 43, 46, 49, and 50 should be in there, and probably others are as
good as 15... but I do have a day job.

[Kees van Prooijen]
>I miss 34 with just this chord.

Wow! I can't believe I forgot 34, which has always been very interesting
on paper. I plugged it in, and was thrilled to find it is about as good as
53. Much better than 41 or 31. Add to that its near-perfect minor triad,
and I think that it is as good as 53 for 5-limit work.

The only bummer with this ET is that it is only consistent thru the
5-limit, and I checked for acceptable 4:5:6:7's, and there weren't any.

So here's the updated list. Gaps indicate a big change.

15
25
12
29
27

22
19
31
41

34
53

I should mention that I am using a highly idealized environment here. In a
band situation, maybe 26 would do, I don't know...

It would be neat to have others confirm or deny this ranking. I have used
Midi Relay and the GM Reed Organ patch, recording into Cool Edit for the
comparo. All :4's were fixed to middle

C.