Crunchy JI chords

I've been looking for what I call "crunchy" JI chords, that is, those
in which every interval is consonant (in some odd limit or whatever
definition) except one, which is small.

Here's what I've found so far (inversions left out for brevity):

15/14 crunch:

3:5:7:9:15
3:7:9:15:21

16/15 crunch:

1:3:5:9:15

21/20 crunch:

3:5:7:9:21
3:5:9:15:21 - nice "dominant 13th" chord, one of my favorites

25/24 crunch:

3:5:15:25

28/27 crunch:

3:7:9:21:27 - another favorite

36/35 crunch:

5:9:15:35:45

49/48 crunch:

3:7:21:49

Venturing into the 11 limit I found these bizzare things with a 56/55 crunch:

35:40:55:56
35:55:56:77

Keenan

Awesome post, Keenan. -C.

> I've been looking for what I call "crunchy" JI chords, that is,
> those in which every interval is consonant (in some odd limit
> or whatever definition) except one, which is small.
>
> Here's what I've found so far (inversions left out for brevity):
>
> 15/14 crunch:
>
> 3:5:7:9:15
> 3:7:9:15:21
>
> 16/15 crunch:
>
> 1:3:5:9:15
>
> 21/20 crunch:
>
> 3:5:7:9:21
> 3:5:9:15:21 - nice "dominant 13th" chord, one of my favorites
>
> 25/24 crunch:
>
> 3:5:15:25
>
> 28/27 crunch:
>
> 3:7:9:21:27 - another favorite
>
> 36/35 crunch:
>
> 5:9:15:35:45
>
> 49/48 crunch:
>
> 3:7:21:49
>
> Venturing into the 11 limit I found these bizzare things with a
56/55 crunch:
>
> 35:40:55:56
> 35:55:56:77
>
> Keenan

--- In tuning@yahoogroups.com, "Keenan Pepper" <keenanpepper@...> wrote:
>
> I've been looking for what I call "crunchy" JI chords, that is, those
> in which every interval is consonant (in some odd limit or whatever
> definition) except one, which is small.

What do you like about the crunch factor--sort of like a radish?
Of course if the crunch gets small enough you can temper it out of
existence, and you have a magic chord.

On 2/25/06, Gene Ward Smith <genewardsmith@coolgoose.com> wrote:
> What do you like about the crunch factor--sort of like a radish?
> Of course if the crunch gets small enough you can temper it out of
> existence, and you have a magic chord.

Radish? Whazza?

Anyway if you temper out the small interval it loses all the crunch
and gets like soggy cereal - yuck. =P

> 3:7:9:15:21

Forgot to mention that this is the chord Jimi Hendrix uses e.g. in
Foxy Lady. I dub it the "Hendrix chord".

Hi Keenan.

You wrote:

> 15/14 crunch:
>
> 3:5:7:9:15
> 3:7:9:15:21

Weird things are still happening all around me. I can't believe both of us
arrived at the same chord almost at the same time but using totally
different methods. At the times I was reading the discussion on BP that was
lead here some months ago, this inspired me to play with the "odd chords"
quite a bit. Finally, about a week ago, I tried to retune one of my
improvisations to something I called "12-tone odd tuning". And later, on
Tuesday, I made another 12-tone "odd tuning". In both of these, the aim is
to easily get the chord of 1:3:5:7:9. In both of these, the interval of
equivalence is 3/1 similarly to BP. And therefore, in both of these, the
basic triad is 3:5:7, which, when repeated a 3/1 apart, makes 3:5:7:9:15:21
(or if it's just expanded as another inversion in the upper part, then the
21 is left out).

If you are interested, the second version of my "odd tuning" is here:
/tuning/topicId_64373.html#64373
As for the first version, It was in the archive with the retuned music I
sent about a week ago but sadly the link has already expired. So if you
want, I can upload another copy.

Petr

Hi Keenan,

What a delicious -- and nutritious -- post. :-)

To have *two* small intervals seems interesting too:

Example with 20/21 and 17/18:
3:5:7:9:17:21

Hudson

Keenan Pepper escreveu:
> I've been looking for what I call "crunchy" JI chords, that is, those
> in which every interval is consonant (in some odd limit or whatever
> definition) except one, which is small.
> > Here's what I've found so far (inversions left out for brevity):
[...]

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--- In tuning@yahoogroups.com, "Keenan Pepper" <keenanpepper@...> wrote:
>
> > 3:7:9:15:21
>
> Forgot to mention that this is the chord Jimi Hendrix
> uses e.g. in Foxy Lady. I dub it the "Hendrix chord".

It's *one* JI version of the "Hendrix chord", the JI
interpretation which Paul Erlich prefers. We had a big
discussion of this back in 1998, when i first joined
this list.

My favorite JI version of the "Hendrix chord" is 4:10:14:19.
I wrote a whole piece about it (never quite finished):

http://sonic-arts.org/monzo/hendrix/hendrix.htm

-monz
http://tonalsoft.com
Tonescape microtonal music software

I think Kyle Gann's work is a good reference for such things.
Maybe some Ben Johnson
>> Here's what I've found so far (inversions left out for brevity):
>> > [...]
>
>
> -- Kraig Grady
North American Embassy of Anaphoria Island <http://anaphoria.com/>
The Wandering Medicine Show
KXLU <http://www.kxlu.com/main.html> 88.9 FM Wed 8-9 pm Los Angeles

On 2/25/06, monz <monz@tonalsoft.com> wrote:
[...]
> It's *one* JI version of the "Hendrix chord", the JI
> interpretation which Paul Erlich prefers. We had a big
> discussion of this back in 1998, when i first joined
> this list.
>
> My favorite JI version of the "Hendrix chord" is 4:10:14:19.
> I wrote a whole piece about it (never quite finished):
>
> http://sonic-arts.org/monzo/hendrix/hendrix.htm

Wow, interesting. I'm definitely on Paul's side though - the interval
between the top two notes sounds a lot more like a 4/3 than a 19/14.

> -monz
> http://tonalsoft.com
> Tonescape microtonal music software

Keenan

Hi Keenan,

--- In tuning@yahoogroups.com, "Keenan Pepper" <keenanpepper@...> wrote:
>
> On 2/25/06, monz <monz@...> wrote:
> [...]
> > It's *one* JI version of the "Hendrix chord", the JI
> > interpretation which Paul Erlich prefers. We had a big
> > discussion of this back in 1998, when i first joined
> > this list.
> >
> > My favorite JI version of the "Hendrix chord" is 4:10:14:19.
> > I wrote a whole piece about it (never quite finished):
> >
> > http://sonic-arts.org/monzo/hendrix/hendrix.htm
>
> Wow, interesting. I'm definitely on Paul's side though
> - the interval between the top two notes sounds a lot
> more like a 4/3 than a 19/14.

Yes, i eventually agreed with Paul about that too.

But *i* personally still *prefer* the 19/16 on top.
I think it gives the chord a super-funky periodicity-buzz
that i just *love*, especially when some upward pitch-bend
is applied to the three higher notes.

There's a whole section of my _Hendrix Chord_ piece which
explores exactly this, playing the chord with the 19-limit
tuning over and over again, and using more pitch-bend
on each successive chord.

My webpage to that piece is in disarray right now ...
in fact, when i posted about it earlier it was no longer
even in existence on the web anywhere! I quickly uploaded
all the files i had handy so i could give you the link.
But i have some other webpages and MIDI about it somewhere.

-monz
http://tonalsoft.com
Tonescape microtonal music software

--- In tuning@yahoogroups.com, "monz" <monz@...> wrote:
>
> Hi Keenan,
>
>
> --- In tuning@yahoogroups.com, "Keenan Pepper" <keenanpepper@> wrote:
> >
> > On 2/25/06, monz <monz@> wrote:
> > [...]
> > > It's *one* JI version of the "Hendrix chord", the JI
> > > interpretation which Paul Erlich prefers. We had a big
> > > discussion of this back in 1998, when i first joined
> > > this list.

It's too bad that the links to Drew Skyfyre's reproduction
of that discussion are broken now, because he edited it
(or maybe i did it and gave it to him ... i don't recall
now) into a nice neat form, and it was quite long.

It led me directly into composing the _Hendrix Chord_
piece, and i wish now that i had finished the piece then.

-monz
http://tonalsoft.com
Tonescape microtonal music software

--- In tuning@yahoogroups.com, "monz" <monz@...> wrote:
>
> --- In tuning@yahoogroups.com, "monz" <monz@> wrote:
> >
> > Hi Keenan,
> >
> >
> > --- In tuning@yahoogroups.com, "Keenan Pepper" <keenanpepper@> wrote:
> > >
> > > On 2/25/06, monz <monz@> wrote:
> > > [...]
> > > > It's *one* JI version of the "Hendrix chord", the JI
> > > > interpretation which Paul Erlich prefers. We had a big
> > > > discussion of this back in 1998, when i first joined
> > > > this list.
>
>
>
> It's too bad that the links to Drew Skyfyre's reproduction
> of that discussion are broken now, because he edited it
> (or maybe i did it and gave it to him ... i don't recall
> now) into a nice neat form, and it was quite long.
>
> It led me directly into composing the _Hendrix Chord_
> piece, and i wish now that i had finished the piece then.

This was back when this tuning list was on the Mills College
server. A couple of years ago Robert Walker made an archive
of several of the tuning lists, and i believe he tracked
these down, so they might be on his site. If not, i think
they're out there somewhere.

If i come across my own copy, i'll put it up on the website.

-monz
http://tonalsoft.com
Tonescape microtonal music software