updated MIRACLE dictionary entry

Those utilizing my Tuning Dictionary "MIRACLE" entry
to aid their understanding will want to "refresh" that
page.

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

I've added the info about George Secor's precedence
as discoverer of MIRACLE, and at the bottom, the "standard"
MIRACLE mapping of the prime intervals in 72-EDO and
decimal notation.

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

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--- In tuning@y..., "monz" <joemonz@y...> wrote:
> Those utilizing my Tuning Dictionary "MIRACLE" entry
> to aid their understanding will want to "refresh" that
> page.
>
> http://www.ixpres.com/interval/dict/miracle.htm
>
> I've added the info about George Secor's precedence
> as discoverer of MIRACLE, and at the bottom, the "standard"
> MIRACLE mapping of the prime intervals in 72-EDO and
> decimal notation.

That's great Monz!

I think it would be a good idea to include a legend for your ASCII
72-EDO notation since we still have at least 3 different ones in use.
1. Monz
2. Dave K, Paul, Joseph, Graham, Herman
3. Manuel (Scala)
All using ^ and v to mean something different!
We managed to kill off one use of ^ and v (as 2/72) but Manuel has
introduced a new one (as 0.5/72 = 1/144). Ho hum.

From: Dave Keenan <D.KEENAN@UQ.NET.AU>
To: <tuning@yahoogroups.com>
Sent: Thursday, June 28, 2001 5:34 PM
Subject: [tuning] Re: updated MIRACLE dictionary entry

> > http://www.ixpres.com/interval/dict/miracle.htm
>
> That's great Monz!
>
> I think it would be a good idea to include a legend for your ASCII
> 72-EDO notation

Yes, that's an excellent idea. Done. Thanks.

> since we still have at least 3 different ones in use.
> 1. Monz
> 2. Dave K, Paul, Joseph, Graham, Herman
> 3. Manuel (Scala)
> All using ^ and v to mean something different!
> We managed to kill off one use of ^ and v (as 2/72) but Manuel has
> introduced a new one (as 0.5/72 = 1/144). Ho hum.

I'm really sorry to be a stick-in-the-mud about this, but I really
do much prefer my 72-EDO notation to the one the rest of you adopted.
I just can't bring myself to use ^ and v for anything but 1/4-tones,
and also want to keep + and - . I'm glad that we agree on < and > .

As for 144-EDO, IMO Dan Stearns's adaptation of my ASCII 72
can't be beat, because it introduces only one new symbol. See
http://www.ixpres.com/interval/dict/144edo.htm

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

_________________________________________________________
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Dave Keenan wrote:
> since we still have at least 3 different ones in use.
> 1. Monz
> 2. Dave K, Paul, Joseph, Graham, Herman
> 3. Manuel (Scala)
> All using ^ and v to mean something different!
> We managed to kill off one use of ^ and v (as 2/72) but Manuel has
> introduced a new one (as 0.5/72 = 1/144). Ho hum.

Not entirely accurate, I proposed ^ and v to stand for the eighth tone
of +/- 25 cents. This is in accordance with the range of 15-27 cents in
Margo's post of 20 June about the neo-Gothic septimal comma.
And it agrees also with the use of ^ and v for the diaschisma which
is close, in some other notation systems in Scala; a point that I haven't
mentioned in my post of 21 June.
I want to repeat that I think it's logical for ^ to represent a bigger
interval than >. For 1/144 octave I proposed the symbols < and >.

But yeah, put two microtonalists together and they will devise three
notations systems.
(This is a variant on the joke that says if you put two Basques together,
they will found three political parties.)

Maybe Joe wants to make a webpage putting all the proposals for 72 and 144
side by side in a nice table?

Manuel

> From: Luwei Wang / Manuel Op de Coul <COUL@SOLAIR1.INTER.NL.NET>
> To: <tuning@yahoogroups.com>
> Sent: Saturday, June 30, 2001 1:29 PM
> Subject: [tuning] Re: updated MIRACLE dictionary entry

Nice to see that Luwei gets top billing on your computer!

> I want to repeat that I think it's logical for ^ to represent a bigger
> interval than >. For 1/144 octave I proposed the symbols < and >.

Thanks, Manuel. That's another point I meant to address when you
mentioned it the first time. I agree, which is yet another reason
why I prefer < > for 1/6-tones and ^ v for 1/4-tones.

> ...
> Maybe Joe wants to make a webpage putting all the proposals for 72 and 144
> side by side in a nice table?

Sure... if someone else will submit a post listing them all side-by-side,
I'll make the tables and add them into my 72- and 144-EDO webpages,
which already exist, and should be consulted if anyone wants more details:
http://www.ixpres.com/dict/72edo.htm
http://www.ixpres.com/dict/144edo.htm

For starters, here are mine:

Monzo 72-EDO

cents adj. symbol

+100 #
+ 83&1/3 #-
+ 66&2/3 #<
+ 50 ^ or #v
+ 33&1/3 >
+ 16&2/3 +
0 [letter-name only]
- 16&2/3 -
- 33&1/3 <
- 50 v or b^
- 66&2/3 b>
- 83&1/3 b+
-100 b

Stearns/Monzo 144-EDO

cents adj. symbol

+100 #
+ 91&2/3 #~-
+ 83&1/3 #-
+ 75 #~<
+ 66&2/3 #<
+ 58&1/3 #~v
+ 50 #v and ^
+ 41&2/3 ~^
+ 33&1/3 >
+ 25 ~>
+ 16&2/3 +
+ 8&1/3 ~+
0 [letter-name only]
- 8&1/3 ~-
- 16&2/3 -
- 25 ~<
- 33&1/3 <
- 41&2/3 ~v
- 50 v and b^
- 58&1/3 b~^
- 66&2/3 b>
- 75 b~>
- 83&1/3 b+
- 91&2/3 b~+
-100 b

Dan Stearns really deserves the credit for the ingenious use of only
one additional symbol (~) for 144-EDO.

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

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Joe wrote 01-07:
> Sure... if someone else will submit a post listing them all side-by-side,
> I'll make the tables and add them into my 72- and 144-EDO webpages,
> which already exist, and should be consulted if anyone wants more
details:
> http://www.ixpres.com/dict/72edo.htm
> http://www.ixpres.com/dict/144edo.htm

Great, here's mine then:

Op de Coul 48-, 72- and 144-tET

cents adj. symbol

+100 #
+ 91&2/3 #<
+ 83&1/3 #\
+ 75 #v and |^
+ 66&2/3 }}
+ 58&1/3 |>
+ 50 |
+ 41&2/3 }>
+ 33&1/3 }
+ 25 ^
+ 16&2/3 /
+ 8&1/3 >
0 [letter-name only]
- 8&1/3 <
- 16&2/3 \
- 25 v
- 33&1/3 {
- 41&2/3 {<
- 50 d
- 58&1/3 d<
- 66&2/3 {{
- 75 b^ and dv
- 83&1/3 b/
- 91&2/3 b>
-100 b

Manuel