Discordance map labels

Paul,

Out of curiosity, why are the triads on the discordance map listed top down instead
of bottom up? For example, on the Tuning List we're used to seeing the 5-limit
just major triad spelled 4:5:6. On the discordance map you spelled it 6:5:4. I
assumed there was a good reason for that and followed your lead with my labels,
although I haven't figured out what it is yet. If it was an arbitrary decision,
and if it's all the same to you, it would be less confusing for me to have them
listed bottom up in the future.

--
David J. Finnamore
Nashville, TN, USA
http://personal.bna.bellsouth.net/bna/d/f/dfin/index.html
--

Hi David,

It makes some sense to write a major triad as 6:5:4 since we usually write
the intervals as 5:4 and 6:5, not 4:5 and 5:6. If you look at the entire
pizza pie, though, every possible ordering comes up. For example, I labeled
three of the six slices in
http://www.egroups.com/files/tuning/perlich/trimap.jpg. 4:5:6 would show up
in the slice on the lower-left.

This kind of representation is useful for calculating harmonic entropy, and
also if the three voices in the chord have different, say, timbres.

-Paul

Paul wrote:

> It makes some sense to write a major triad as 6:5:4 since we usually write
> the intervals as 5:4 and 6:5, not 4:5 and 5:6.

and

> This kind of representation is useful for calculating harmonic entropy, and
> also if the three voices in the chord have different, say, timbres.

Seems so obvious now. I think I'll have my piano switched to high on the left -> low
on the right. 8-) In an off list post to Joseph P., I used C:B:A to refer to the
tones generically as they go through changes over the course of the map, to show that
the chord was being spelled top down. That seemed to help me get used to it.

--
David J. Finnamore
Nashville, TN, USA
http://personal.bna.bellsouth.net/bna/d/f/dfin/index.html
--

--- In harmonic_entropy@egroups.com, "David J. Finnamore"

http://www.egroups.com/message/harmonic_entropy/236

>
> Seems so obvious now. I think I'll have my piano switched to high
on the left -> low on the right. 8-) In an off list post to Joseph
P., I used C:B:A to refer to the tones generically as they go through
changes over the course of the map, to show that the chord was being
spelled top down. That seemed to help me get used to it.
>

Hi David...

Actually, I think it might be valuable for you to post your
"explanation" of the graphic -- or at least part of it --up on this
site for anybody else who might be having a little trouble with it.
There's *got* to be somebody else besides me who can use the help
(??)
Maybe they aren't even posting...

If you want, *I'll* take the blame for this extra posting (!!)

Also, I have to admit that I really enjoyed your "Sirens" piece, even
though I know it was a lark. However, I think, for better or worse,
some composers would take it quite seriously (!!) Well, I said "for
better or worse..."

I would like to hear a longer version of it!

Joseph

--- In harmonic_entropy@egroups.com, "Joseph Pehrson" <pehrson@p...>
wrote:
> Hi David...
>
> Actually, I think it might be valuable for you to post your
> "explanation" of the graphic -- or at least part of it --up on this
> site for anybody else who might be having a little trouble with
it.
> There's *got* to be somebody else besides me who can use the help

I wondered about that. Just needed a little prompting to be sure, I
guess. I'm posting from work and won't be home until late tonight.
You may forward all or any part of it, if you care to. If it's not
up when I get home tonight, I'll post the bulk of it then. I'm sure
we'll get some errata and addenda suggestions from the others! :-)
It is only my limited perception and understanding of it so far,
after all.

> Also, I have to admit that I really enjoyed your "Sirens" piece,
even
> though I know it was a lark.
> I would like to hear a longer version of it!

I'm not sure how I'd accomplish that without making a new, longer
tour that does similar kinds of things. It's quick and easy to
process a file once it's made. How about if I process the "ridge
walk" tour in a similar way? Or is there something special about the
arbitrary path in the short one?

David

--- In harmonic_entropy@egroups.com, "David Finnamore" <daeron@b...>

http://www.egroups.com/message/harmonic_entropy/238

>
> I wondered about that. Just needed a little prompting to be sure,
I guess. I'm posting from work and won't be home until late tonight.

> You may forward all or any part of it, if you care to. If it's not
> up when I get home tonight, I'll post the bulk of it then. I'm
sure we'll get some errata and addenda suggestions from the others!
:-)

What makes you so sure Paul will correct it?? :) :)

> It is only my limited perception and understanding of it so far,
> after all.
>

Yeppir! I can use all the help I can get! Your explanation has been
posted to the Harmonic Entropy forum... as you will see.

>
> > Also, I have to admit that I really enjoyed your "Sirens" piece,
> even though I know it was a lark. I would like to hear a longer
version of it!
>
> I'm not sure how I'd accomplish that without making a new, longer
> tour that does similar kinds of things. It's quick and easy to
> process a file once it's made. How about if I process the "ridge
> walk" tour in a similar way? Or is there something special about
the arbitrary path in the short one?
>
> David

Great. Just process the entire "ridge tour." It's a "hoot."

Joseph

David -- did you fix the 32:27:24/12:10:9 issue?

>How about if I process the "ridge
>walk" tour in a similar way?

That's what I'd hope for, with the above correction.

--- In harmonic_entropy@egroups.com, "Paul H. Erlich" <PERLICH@A...>

http://www.egroups.com/message/harmonic_entropy/242

> David -- did you fix the 32:27:24/12:10:9 issue?
>
> >How about if I process the "ridge
> >walk" tour in a similar way?
>
> That's what I'd hope for, with the above correction.

Hi Paul...

I meant this... What was the problem here, again?? I'm not finding
it.

JP

>I meant this... What was the problem here, again?? I'm not finding
>it.

In David Finnamore's longer tour, he "dropped anchor" at 32:27:24, not a
very consonant chord, when he really meant to "drop anchor" at 12:10:9
instead -- since that is where the peak on my graph is.

--- In harmonic_entropy@egroups.com, "Paul H. Erlich" <PERLICH@A...>
wrote:

http://www.egroups.com/message/harmonic_entropy/248

>
> In David Finnamore's longer tour, he "dropped anchor" at 32:27:24,
not a very consonant chord, when he really meant to "drop anchor" at
12:10:9 instead -- since that is where the peak on my graph is.

Gotcha. Thanks!

JP