[tuning] updated "MIRACLE" definition webpage

I posted some responses to questions by Joe Pehrson
on the tuning-math list, and have now incorporated them
with new graphics into the Tuning Dictionary MIRACLE entry:

http://www.ixpres.com/interval/dict/miracle.htm

This should make it a bit easier to understand for those
who have been mystified. The new stuff is at the bottom
of the page.

-monz
http://www.monz.org
"All roads lead to n^0"

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--- In tuning@y..., "monz" <joemonz@y...> wrote:

/tuning/topicId_25416.html#25416

> I posted some responses to questions by Joe Pehrson
> on the tuning-math list, and have now incorporated them
> with new graphics into the Tuning Dictionary MIRACLE entry:
>
> http://www.ixpres.com/interval/dict/miracle.htm
>
>
> This should make it a bit easier to understand for those
> who have been mystified. The new stuff is at the bottom
> of the page.
>
>

Monz... this addition to the MIRACLE page is just terrific. It
relates the whole "generator" process to our "traditional"
Pythagorean comma in 12-tET, etc... It *really* put things together
for me...

Now, could I please ask you to elaborate a bit on Graham Breed's
decimal notation, so I can understand it??

And *yes*, I have been on that page of Graham's SEVERAL times, and I
*never* get it. It's all very sophisticated, but I get lost in the
presentation.

Would you mind recapping that in another way, so I can understand
*that* notation.

I would really appreciate it!

Thanks!

Joe

________ ________ ________
Joseph Pehrson

--- In tuning@y..., "monz" <joemonz@y...> wrote:
> I posted some responses to questions by Joe Pehrson
> on the tuning-math list, and have now incorporated them
> with new graphics into the Tuning Dictionary MIRACLE entry:
>
> http://www.ixpres.com/interval/dict/miracle.htm

Thanks for that Monz. One small correction. There are no MIRACLE MOS
with cardinalities of 51 or 62. In fact there are none between 41 and
72.

Also I found that my MOS calculator still had the bug I thought I'd
fixed. It should be right now
http://dkeenan.com/Music/MyhillCalculator.xls

> ----- Original Message -----
> From: Dave Keenan <D.KEENAN@UQ.NET.AU>
> To: <tuning@yahoogroups.com>
> Sent: Thursday, June 21, 2001 7:42 PM
> Subject: [tuning] Re: updated "MIRACLE" definition webpage
>
>
> --- In tuning@y..., "monz" <joemonz@y...> wrote:
>
> > I posted some responses to questions by Joe Pehrson
> > on the tuning-math list, and have now incorporated them
> > with new graphics into the Tuning Dictionary MIRACLE entry:
> >
> > http://www.ixpres.com/interval/dict/miracle.htm
>
> Thanks for that Monz. One small correction. There are no MIRACLE MOS
> with cardinalities of 51 or 62. In fact there are none between 41 and
> 72.

Thanks for that, Dave. Fixed it.

Thanks also for the corrected MOS calculator.

-monz
http://www.monz.org
"All roads lead to n^0"

_________________________________________________________
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