More on harry

I mentioned 72 and 130 as ets for harry, but 202 is also very
interesting. It gives a poptimal generator, and is an excellent
7-limit system. Apparently the natural condition of 11-limit harry is
to have somewhat less well-tuned 11-limit intervals together with
7-limit intervals with errors under a cent, and 202 gives us that.

Harry in the 7-limit has a generator of a slightly flattened 21/20,
which in the 11-limit does duty as a 22/21 as well; 441/440 standing
in something of the role that 225/224 does with miracle. It has a CE
scale of 58 notes, which is not beyond the range of possibilities of a
quasi-Partchian ensemble. I'm not suggesting harry is the best way of
tempering Genesis, miracle being an obvious and strong alternative,
but it's an interesting possibility; one could simply use 202-equal
and there you are.

The 7-limit TM basis for harry, incidentally, is 2401/2400 and
19683/19600; the second comma differs from 225/224 by 4375/4374.

--- In tuning@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...> wrote:

> It has a CE
> scale of 58 notes,

What's CE?

> which is not beyond the range of possibilities of a
> quasi-Partchian ensemble. I'm not suggesting harry is the best way
of
> tempering Genesis,

Something compatible with 41 seems more likely.

Does this suggest anything:

http://www.sonic-arts.org/td/erlich/partchpblock.htm

?

--- In tuning@yahoogroups.com, "wallyesterpaulrus" <paul@s...>
wrote:
> --- In tuning@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...>
wrote:
>
> > It has a CE
> > scale of 58 notes,
>
> What's CE?

A typo for DE.

> > which is not beyond the range of possibilities of a
> > quasi-Partchian ensemble. I'm not suggesting harry is the best
way
> of
> > tempering Genesis,
>
> Something compatible with 41 seems more likely.

Since the Genesis scale has 43 notes, one point of view would simply
reject that idea out of hand. Both harry and miracle are compatible
with 72, which does a better job as a replacement for JI than 41-et,
for that matter.

> Does this suggest anything:
>
> http://www.sonic-arts.org/td/erlich/partchpblock.htm

It suggests that's one possibility out of many. If I add a 126/125,
176/175 or 896/891 to a comma basis of harry, I get commas for
Fokker blocks leading to 58 notes to the octave, which we could also
compare to Genesis if we want to go that route. I still like using
58 notes of 202 equal pretty well. It has a Graham complexity of 34,
which means there's plenty going on harmonically, and the 7-limit
part of that is all under a cent of error, which is good stuff. Of
course Studloco seems like a damned good alternative. Whether anyone
would want to form a Partchian ensemble along these lines is another
question.

--- In tuning@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...>
wrote:

> It suggests that's one possibility out of many. If I add a
126/125,
> 176/175 or 896/891 to a comma basis of harry, I get commas for
> Fokker blocks leading to 58 notes to the octave, which we could
also
> compare to Genesis if we want to go that route.

The following 11-limit TM bases might be of interest:

41: {100/99, 225/224, 243/242, 245/242}

58: {126/125, 176/175, 243/242, 896/891}

Taking 126/125, 176/175 and 243/242 together gives nonkleismic; I
don't have a name for the 100/99, 225/224, 243/242 temperament.
These temperaments are not as accurate as harry or miracle, and this
is something to bear in mind if you are hoping to get an acceptable
substitution for JI.