More 72-et stuff for Joseph, et al

In the dicussion of 72-et stuff, I found no mention of the 46 and 58
scales; perhaps because by the time we get there we are most of the
way to 72. However, these have nice structural features, particularly
if you are interested in going all the way to the 17-limit.

We have 46 out of 72 scale, generated by mutiples of 11 mod 36,
repeated. The pattern is

22121212212121221212121 * 2

We also have 58 out of 72, generated by multiples of 5 mod 36,
repeated. The pattern is

21112111211121112111211121111 * 2

--- In tuning@y..., genewardsmith@j... wrote:
> In the dicussion of 72-et stuff, I found no mention of the 46 and
58
> scales; perhaps because by the time we get there we are most of the
> way to 72. However, these have nice structural features,
particularly
> if you are interested in going all the way to the 17-limit.
>
> We have 46 out of 72 scale, generated by mutiples of 11 mod 36,
> repeated. The pattern is
>
> 22121212212121221212121 * 2
>
> We also have 58 out of 72, generated by multiples of 5 mod 36,
> repeated. The pattern is
>
> 21112111211121112111211121111 * 2

Dude, you're on fire!

Gene, I think you forgot to consider MOSs that are strictly in _sub-
ETs_ of 72-tET, such as 36-tET, 24-tET, 18-tET . . . Hey Joseph --
why not try the full 18-tET? That's pretty "anti-JI" . . . and you
can really get around on it!

Andrzej Gawel in Poland did a major presentation on the 19-out-of-36
MOS generated by 19-out-of-36.

--- In tuning@y..., "Paul Erlich" <paul@s...> wrote:

> Gene, I think you forgot to consider MOSs that are strictly in _sub-
> ETs_ of 72-tET, such as 36-tET, 24-tET, 18-tET . . . Hey Joseph --
> why not try the full 18-tET? That's pretty "anti-JI" . . . and you
> can really get around on it!

Actually, I thought about mentioning 18 and 24, but more as a joke.
However, you are right--if you are going to consider these things
then they definately should be included.

--- In tuning@y..., "Paul Erlich" <paul@s...> wrote:

/tuning/topicId_27798.html#27803

> Gene, I think you forgot to consider MOSs that are strictly in _sub-
> ETs_ of 72-tET, such as 36-tET, 24-tET, 18-tET . . . Hey Joseph --
> why not try the full 18-tET? That's pretty "anti-JI" . . . and you
> can really get around on it!

Hi Paul!

This seems like such an obvious thing to do that I, of course, did
not think of it! Well, I *have* worked with 24-tET... more than
enough, I should think... but 18-tET is certainly a likely candidate
when (and *IF* by the way) I get tired of MIRACLE. Thanks for the
suggestion...

For me, personally, I like to stay within *one* defined tuning system
for a piece... I know some others feel differently...

best,

_________ ________ _________
Joseph Pehrson