Yahoo Tuning Groups Ultimate Backup tuning Miracle Examples

--- In tuning@y..., graham@m... wrote:
> I've got some MP3 files of a chord sequence in Miracle temperament
at
> <http://x31eq.com/miracle/> and some mechanically
generated
> conversion charts at
> <http://x31eq.com/miracle/conversion.html>. I'm going to
bed
> now, so don't have time to explain more.

Graham,

Those are both fabulous. Thanks.

Can we agree to align note 4 with D in future, so that
(a) we align the points of symmetry between the diatonic and decimal
systems (for M21, M31, M41), and
(b) ABCLDNEFGH can be used as synonyms for 0123456789.

Have you seen my circular chart at
http://dkeenan.com/Music/MiraclePitchChart.doc

-- Dave Keenan

🔗graham@microtonal.co.uk

Dave Keenan wrote:

> Those are both fabulous. Thanks.

That's good. I found the sequence in the middle of an improvisation,
though it sounded good, wrote it down, tweaked it and recorded it back in.
I could translate it into other notations and do an analysis, but it's
getting late again and I'd rather have an early night.

A couple of points though. I seem to have been finding 7-limit chords,
mostly by ear. Also, the last chord has a neutral third, and works
surprisingly well.

For newcomers, the examples and quick explanation are at

<http://x31eq.com/miracle/>

and my introduction to Miracle tuning is still at

<http://x31eq.com/decimal_lattice.htm>

Joe Monzo also has it in his dictionary, I'll coordinate links sometime,
this is still fairly new stuff.

> Can we agree to align note 4 with D in future, so that
> (a) we align the points of symmetry between the diatonic and decimal
> systems (for M21, M31, M41), and

I've updated the page to show this. How about making A map to 0, which
will be simpler to program? Symmetry's an odd principle, as 10 notes
can't have a single point of symmetry.

> (b) ABCLDNEFGH can be used as synonyms for 0123456789.

I still prefer numerals to letters, less free parameters.

> Have you seen my circular chart at
> http://dkeenan.com/Music/MiraclePitchChart.doc

WordPad and WordPro don't like it. I'll check it at work tomorrow, we
have Word there.

Graham

🔗paul@stretch-music.com

🔗Dave Keenan <D.KEENAN@UQ.NET.AU>

--- In tuning@y..., graham@m... wrote:
> Dave Keenan wrote:
>
> > Those are both fabulous. Thanks.
>
> That's good. I found the sequence in the middle of an
improvisation,
> though it sounded good, wrote it down, tweaked it and recorded it
back in.

I din't particularly like the temperament though. What did you mean by
between 72 and 46 EDO?

> > Can we agree to align note 4 with D in future, so that
> > (a) we align the points of symmetry between the diatonic and
decimal
> > systems (for M21, M31, M41), and
>
> I've updated the page to show this. How about making A map to 0,
which
> will be simpler to program? Symmetry's an odd principle, as 10
notes
> can't have a single point of symmetry.

I thought about that. But M21 M31 and M41 all _do_ have a point of
symmetry and I think it is particularly important that M31's meantone
point of symmetry agrees with its miracle one. This also makes
transparent the Halberstadt keyboard mapping of M10.

Dec Key
0 A
1 Bb and B
2 C
3 C#
4 D
5 Eb
6 E
7 F and F#
8 G
9 G#

I think we should be optimising it for humans not computers.

> > (b) ABCLDNEFGH can be used as synonyms for 0123456789.
>
> I still prefer numerals to letters, less free parameters.

Ok. But why close off that neat correspondence for those who prefer
letters?

> > Have you seen my circular chart at
> > http://dkeenan.com/Music/MiraclePitchChart.doc
>
> WordPad and WordPro don't like it. I'll check it at work tomorrow,
we
> have Word there.

Thanks to Dave Finamore it's now in HTML
http://dkeenan.com/Music/MiraclePitchChart.htm

Regards,
-- Dave Keenan

🔗graham@microtonal.co.uk

In-Reply-To: <9e9ts9+2sho@eGroups.com>
In article Dave Keenan wrote:

> I din't particularly like the temperament though. What did
you mean by
> between 72 and 46 EDO?

Should have been 41, and should have been corrected now. If
you've got a keyboard, you could try it out in 72-equal, to
see if you prefer the closer approximation. I actually chose
that tuning for the improvisation because the 4-step "wolf
fourth" sounds okay. I don't think any are actually used
vertically in those chords.

It may be the timbre that's the problem. I've got Kyma set
up for sawtooths, so it's sawtooths with everything.

Or it may be they aren't such good chords after all!

> > > Can we agree to align note 4 with D in future, so that
> > > (a) we align the points of symmetry between the
diatonic and
> decimal
> > > systems (for M21, M31, M41), and
> >
> > I've updated the page to show this. How about making A
map to 0,
> which
> > will be simpler to program? Symmetry's an odd principle,
as 10
> notes
> > can't have a single point of symmetry.
>
> I thought about that. But M21 M31 and M41 all _do_ have a
point of
> symmetry and I think it is particularly important that
M31's meantone
> point of symmetry agrees with its miracle one. This also
makes
> transparent the Halberstadt keyboard mapping of M10.

Oh yes, there is that.

> Dec Key
> 0 A
> 1 Bb and B
> 2 C
> 3 C#
> 4 D
> 5 Eb
> 6 E
> 7 F and F#
> 8 G
> 9 G#
>
> I think we should be optimising it for humans not
computers.

If it's hard to explain to a computer, it'll be hard to
explain to a human as well. But don't worry, the computer
understands it now.

> > > (b) ABCLDNEFGH can be used as synonyms for 0123456789.
> >
> > I still prefer numerals to letters, less free parameters.
>
> Ok. But why close off that neat correspondence for those
who prefer
> letters?

Maybe, we'll have to see what catches on. It doesn't affect
what you see on the staff.

> > > Have you seen my circular chart at
> > > http://dkeenan.com/Music/MiraclePitchChart.doc
> >
> > WordPad and WordPro don't like it. I'll check it at work
tomorrow,
> we
> > have Word there.
>
> Thanks to Dave Finamore it's now in HTML
> http://dkeenan.com/Music/MiraclePitchChart.htm

Yes, it looks quite good. I can see how the letters match
up, too.

Graham