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Weasels and Tetracots

🔗Mike Battaglia <battaglia01@...>

1/3/2012 10:31:32 PM

One of the most useful temperaments I know of is the 7&27e 13-limit
extension of tetracot temperament. Go to 34-EDO, and use the 34d val,
and play around with it. Here's a list of the intervals in the 7-note
MOS: (legend: d = diminished, m = minor, M = major, A = augmented)

d2 - 16/15
m2 - 12/11
M2 - 10/9
A2 - 9/8

d3 - 7/6
m3 - 6/5
M3 - 11/9
A3 - 5/4

d4 - 13/10
m4 - 4/3
M4 - 15/11
A4 - 11/8

d5 - 16/11
m5 - 22/15
M5 - 3/2
A5 - 20/13

d6 - 8/5
m6 - 13/8
M6 - 5/3
A6 - 12/7

d7 - 7/4
m7 - 9/5
M7 - 11/6
A7 - 15/8

Except for a handful of intervals, this is obviously one of the most
useful temperaments ever. It turns up as the #1 tetracot temperament
on Graham's finder. It's not even worth using 5-limit tetracot when
things like this are around. It is a MODMOS gold mine. It brings only
happiness to those who use it, and no sadness. There is no theoretical
reason why this is a bad temperament. Any attempted theoretical
reasons are wrong. I can say no bad things about it and am happy that
it exists.

We simply can't name this "weasel" temperament. This temperament
should be 13-limit tetracot. And if it's not 13-limit tetracot, it
should have an awesome name. If we name this temperament weasel,
everyone will laugh at us. We will never get anything published. We
will all come to ruination and be forced to play atonal serialist
music for the rest of our days. It's one of our best 13-limit
temperaments, and we can't name it weasel. "Weasel" should be the name
of a microtemperament in the 2.7/5.11/7 subgroup. For example,
http://x31eq.com/cgi-bin/rt.cgi?ets=6_60&limit=2_7%2F5_11%2F7 has
0.014 cents of error, and the 12-note MOS covers the entire tonality
diamond! Looks like a good weasel temperament to me.

</rant>

-Mike

🔗Jason Conklin <jason.conklin@...>

1/4/2012 5:30:49 PM
Attachments

Mike, what do you have against the noble weasel? ;-)

[image: image.jpeg]

/jc

On Wed, Jan 4, 2012 at 00:31, Mike Battaglia <battaglia01@...> wrote:

> **
>
>
> One of the most useful temperaments I know of is the 7&27e 13-limit
> extension of tetracot temperament. Go to 34-EDO, and use the 34d val,
> and play around with it. Here's a list of the intervals in the 7-note
> MOS: (legend: d = diminished, m = minor, M = major, A = augmented)
>
> d2 - 16/15
> m2 - 12/11
> M2 - 10/9
> A2 - 9/8
>
> d3 - 7/6
> m3 - 6/5
> M3 - 11/9
> A3 - 5/4
>
> d4 - 13/10
> m4 - 4/3
> M4 - 15/11
> A4 - 11/8
>
> d5 - 16/11
> m5 - 22/15
> M5 - 3/2
> A5 - 20/13
>
> d6 - 8/5
> m6 - 13/8
> M6 - 5/3
> A6 - 12/7
>
> d7 - 7/4
> m7 - 9/5
> M7 - 11/6
> A7 - 15/8
>
> Except for a handful of intervals, this is obviously one of the most
> useful temperaments ever. It turns up as the #1 tetracot temperament
> on Graham's finder. It's not even worth using 5-limit tetracot when
> things like this are around. It is a MODMOS gold mine. It brings only
> happiness to those who use it, and no sadness. There is no theoretical
> reason why this is a bad temperament. Any attempted theoretical
> reasons are wrong. I can say no bad things about it and am happy that
> it exists.
>
> We simply can't name this "weasel" temperament. This temperament
> should be 13-limit tetracot. And if it's not 13-limit tetracot, it
> should have an awesome name. If we name this temperament weasel,
> everyone will laugh at us. We will never get anything published. We
> will all come to ruination and be forced to play atonal serialist
> music for the rest of our days. It's one of our best 13-limit
> temperaments, and we can't name it weasel. "Weasel" should be the name
> of a microtemperament in the 2.7/5.11/7 subgroup. For example,
> http://x31eq.com/cgi-bin/rt.cgi?ets=6_60&limit=2_7%2F5_11%2F7 has
> 0.014 cents of error, and the 12-note MOS covers the entire tonality
> diamond! Looks like a good weasel temperament to me.
>
> </rant>
>
> -Mike
>
>

🔗Chris Vaisvil <chrisvaisvil@...>

1/4/2012 6:27:49 PM
Attachments

my vote for weasel - or at least ferret!

On Wed, Jan 4, 2012 at 8:30 PM, Jason Conklin <jason.conklin@...>wrote:

> **
>
>
> Mike, what do you have against the noble weasel? ;-)
>
> [image: image.jpeg]
>
> /jc
>
>
> On Wed, Jan 4, 2012 at 00:31, Mike Battaglia <battaglia01@...>wrote:
>
>> **
>>
>>
>> One of the most useful temperaments I know of is the 7&27e 13-limit
>> extension of tetracot temperament. Go to 34-EDO, and use the 34d val,
>> and play around with it. Here's a list of the intervals in the 7-note
>> MOS: (legend: d = diminished, m = minor, M = major, A = augmented)
>>
>> d2 - 16/15
>> m2 - 12/11
>> M2 - 10/9
>> A2 - 9/8
>>
>> d3 - 7/6
>> m3 - 6/5
>> M3 - 11/9
>> A3 - 5/4
>>
>> d4 - 13/10
>> m4 - 4/3
>> M4 - 15/11
>> A4 - 11/8
>>
>> d5 - 16/11
>> m5 - 22/15
>> M5 - 3/2
>> A5 - 20/13
>>
>> d6 - 8/5
>> m6 - 13/8
>> M6 - 5/3
>> A6 - 12/7
>>
>> d7 - 7/4
>> m7 - 9/5
>> M7 - 11/6
>> A7 - 15/8
>>
>> Except for a handful of intervals, this is obviously one of the most
>> useful temperaments ever. It turns up as the #1 tetracot temperament
>> on Graham's finder. It's not even worth using 5-limit tetracot when
>> things like this are around. It is a MODMOS gold mine. It brings only
>> happiness to those who use it, and no sadness. There is no theoretical
>> reason why this is a bad temperament. Any attempted theoretical
>> reasons are wrong. I can say no bad things about it and am happy that
>> it exists.
>>
>> We simply can't name this "weasel" temperament. This temperament
>> should be 13-limit tetracot. And if it's not 13-limit tetracot, it
>> should have an awesome name. If we name this temperament weasel,
>> everyone will laugh at us. We will never get anything published. We
>> will all come to ruination and be forced to play atonal serialist
>> music for the rest of our days. It's one of our best 13-limit
>> temperaments, and we can't name it weasel. "Weasel" should be the name
>> of a microtemperament in the 2.7/5.11/7 subgroup. For example,
>> http://x31eq.com/cgi-bin/rt.cgi?ets=6_60&limit=2_7%2F5_11%2F7 has
>> 0.014 cents of error, and the 12-note MOS covers the entire tonality
>> diamond! Looks like a good weasel temperament to me.
>>
>> </rant>
>>
>> -Mike
>>
>
>
>

🔗Herman Miller <hmiller@...>

1/5/2012 5:06:45 PM

On 1/4/2012 9:27 PM, Chris Vaisvil wrote:
> my vote for weasel - or at least ferret!

I do think weasel would make a good name for a temperament. Although it would be nice to use it for a family of similar temperaments, so we'd have ermine, stoat, ferret, mink, and so on as variations.

Semaphore is a family of temperaments that could use some extra names, but it's already got the "Japanese monster" theme going on with godzilla. The escapade family is a distinct possibility, but those temperaments don't look all that good at first glance. I haven't tried them though, so you never know. Lots of augmented and blacksmith variations that don't have names. But 7&27e could still be a good choice, I think, because of the related 7&27. You could have "weasel" for 7-limit 7&27, "stoat" and "ferret" for the two 13-limit ones.

🔗Chris Vaisvil <chrisvaisvil@...>

1/5/2012 6:01:55 PM

Perhaps then the root should be *Mustela *with stoat, weasel, ferret, mink,
etc. as family members.
*
*
On Thu, Jan 5, 2012 at 8:06 PM, Herman Miller <hmiller@...> wrote:

> On 1/4/2012 9:27 PM, Chris Vaisvil wrote:
> > my vote for weasel - or at least ferret!
>
> I do think weasel would make a good name for a temperament. Although it
> would be nice to use it for a family of similar temperaments, so we'd
> have ermine, stoat, ferret, mink, and so on as variations.
>
> Semaphore is a family of temperaments that could use some extra names,
> but it's already got the "Japanese monster" theme going on with
> godzilla. The escapade family is a distinct possibility, but those
> temperaments don't look all that good at first glance. I haven't tried
> them though, so you never know. Lots of augmented and blacksmith
> variations that don't have names. But 7&27e could still be a good
> choice, I think, because of the related 7&27. You could have "weasel"
> for 7-limit 7&27, "stoat" and "ferret" for the two 13-limit ones.
>
>
>

🔗Keenan Pepper <keenanpepper@...>

1/5/2012 6:58:59 PM

--- In tuning@yahoogroups.com, Herman Miller <hmiller@...> wrote:
> Semaphore is a family of temperaments that could use some extra names,
> but it's already got the "Japanese monster" theme going on with
> godzilla.

But mothra and rodan are not in the semaphore family, so I've never understood this.

Keenan

🔗Mike Battaglia <battaglia01@...>

1/5/2012 7:17:36 PM

I wouldn't mind calling 13-limit 7&27e "Mustela" temperament, but that
doesn't leave a lot of room for extension.

-Mike

On Thu, Jan 5, 2012 at 9:01 PM, Chris Vaisvil <chrisvaisvil@...> wrote:
>
> Perhaps then the root should be Mustela with stoat, weasel, ferret, mink, etc. as family members.

🔗Mike Battaglia <battaglia01@...>

1/5/2012 7:19:00 PM

On Thu, Jan 5, 2012 at 9:58 PM, Keenan Pepper <keenanpepper@...> wrote:
>
> --- In tuning@yahoogroups.com, Herman Miller <hmiller@...> wrote:
> > Semaphore is a family of temperaments that could use some extra names,
> > but it's already got the "Japanese monster" theme going on with
> > godzilla.
>
> But mothra and rodan are not in the semaphore family, so I've never understood this.
>
> Keenan

I think I remember reading that the Japanese movie monster theme was
for 7-limit temperaments that have 8/7 as the generator. It's not
comma-based.

-Mike

🔗Chris Vaisvil <chrisvaisvil@...>

1/5/2012 7:39:51 PM

Perhaps I don't understand what is transpiring here. Mustela is the genus
for weasels, stoats, ferrets, minks, etc.

*Weasels* ([image: play]
/<http://en.wikipedia.org/wiki/Wikipedia:IPA_for_English>
ˈ <http://en.wikipedia.org/wiki/Wikipedia:IPA_for_English#Key>w<http://en.wikipedia.org/wiki/Wikipedia:IPA_for_English#Key>
iː <http://en.wikipedia.org/wiki/Wikipedia:IPA_for_English#Key>z<http://en.wikipedia.org/wiki/Wikipedia:IPA_for_English#Key>
əl <http://en.wikipedia.org/wiki/Wikipedia:IPA_for_English#Key>/<http://en.wikipedia.org/wiki/Wikipedia:IPA_for_English>)
are mammals <http://en.wikipedia.org/wiki/Mammal> forming the genus *Mustela
* of the Mustelidae <http://en.wikipedia.org/wiki/Mustelidae>
family<http://en.wikipedia.org/wiki/Family_%28biology%29>

On Thu, Jan 5, 2012 at 10:17 PM, Mike Battaglia <battaglia01@...>wrote:

> **
>
>
> I wouldn't mind calling 13-limit 7&27e "Mustela" temperament, but that
> doesn't leave a lot of room for extension.
>
> -Mike
>
>
> On Thu, Jan 5, 2012 at 9:01 PM, Chris Vaisvil <chrisvaisvil@...>
> wrote:
> >
> > Perhaps then the root should be Mustela with stoat, weasel, ferret,
> mink, etc. as family members.
>
>
>

🔗Mike Battaglia <battaglia01@...>

1/5/2012 8:04:01 PM

Right, but if we assign the name "Mustela" to a 13-limit temperament,
then there's not going to be a lot of children that it'll have for us
to give names like weasel, stoat, ferret, mink, and so on, not unless
we want to start looking at the 17-limit anyway.

-Mike

On Thu, Jan 5, 2012 at 10:39 PM, Chris Vaisvil <chrisvaisvil@...> wrote:
>
>
>
> Perhaps I don't understand what is transpiring here. Mustela is the genus for weasels, stoats, ferrets, minks, etc.
>
> Weasels ( /ˈwiːzəl/) are mammals forming the genus Mustela of the Mustelidae family

🔗Chris Vaisvil <chrisvaisvil@...>

1/5/2012 8:14:38 PM

Ok, I see. I'm suggesting too large of a family.

Thanks,

Chris

BTW - I did have the bizarre idea of using Antarctic flora - if you want
less that will do it :-)

On Thu, Jan 5, 2012 at 11:04 PM, Mike Battaglia <battaglia01@...>wrote:

> **
>
>
> Right, but if we assign the name "Mustela" to a 13-limit temperament,
> then there's not going to be a lot of children that it'll have for us
> to give names like weasel, stoat, ferret, mink, and so on, not unless
> we want to start looking at the 17-limit anyway.
>
> -Mike
>
>
> On Thu, Jan 5, 2012 at 10:39 PM, Chris Vaisvil <chrisvaisvil@gmail.com>
> wrote:
> >
> >
> >
> > Perhaps I don't understand what is transpiring here. Mustela is the
> genus for weasels, stoats, ferrets, minks, etc.
> >
> > Weasels ( /ˈwiːzəl/) are mammals forming the genus Mustela of the
> Mustelidae family
>
>
>

🔗Herman Miller <hmiller@...>

1/6/2012 5:18:40 PM

On 1/5/2012 10:19 PM, Mike Battaglia wrote:
> On Thu, Jan 5, 2012 at 9:58 PM, Keenan Pepper<keenanpepper@...> wrote:
>>
>> --- In tuning@yahoogroups.com, Herman Miller<hmiller@...> wrote:
>>> Semaphore is a family of temperaments that could use some extra names,
>>> but it's already got the "Japanese monster" theme going on with
>>> godzilla.
>>
>> But mothra and rodan are not in the semaphore family, so I've never understood this.
>>
>> Keenan
>
> I think I remember reading that the Japanese movie monster theme was
> for 7-limit temperaments that have 8/7 as the generator. It's not
> comma-based.

Ah, I wasn't sure about that. Well there's the 11-limit 5&19 and a couple of 13-limit extensions.

5&19 [<1 2 4 3 2|, <0 -2 -8 -1 7|]
5f&19 [<1 2 4 3 2 2|, <0 -2 -8 -1 7 8|]
5&19 [<1 2 4 3 2 6|, <0 -2 -8 -1 7 -11|]

Then a couple of 13-limit versions of the 11-limit 5&9c (which has the unfortunate name "semafour").

5&9c semafour [<1 2 4 3 3|, <0 -2 -8 -1 2|]
5f&14c [<1 2 4 3 3 2|, <0 -2 -8 -1 2 8|]
5&19e [<1 2 4 3 3 6|, <0 -2 -8 -1 2 -11|]

Finally there's the 13-limit versions of godzilla itself. One of these probably ought to be just "godzilla".

5e&14c [<1 2 4 3 6 5|, <0 -2 -8 -1 -12 -6|]
14c&19 [<1 2 4 3 6 2|, <0 -2 -8 -1 -12 8|]
5e&19 [<1 2 4 3 6 6|, <0 -2 -8 -1 -12 -11|]

As far as 7&27e, "modus" is fine with me. I'll play around with some of these semaphore tunings and see if any of them suggest any weasel-like qualities. If not, then I'll look at the escapade bunch.

🔗Mike Battaglia <battaglia01@...>

1/6/2012 5:22:05 PM

It would be nice to get something based around semaphore, because Neil
Haverstick likes both 19 and 34-EDO, and that's in both of those
(well, 34p, anyway).

-Mike

On Fri, Jan 6, 2012 at 8:18 PM, Herman Miller <hmiller@prismnet.com> wrote:
>
>
>
> On 1/5/2012 10:19 PM, Mike Battaglia wrote:
> > On Thu, Jan 5, 2012 at 9:58 PM, Keenan Pepper<keenanpepper@...> wrote:
> >>
> >> --- In tuning@yahoogroups.com, Herman Miller<hmiller@...> wrote:
> >>> Semaphore is a family of temperaments that could use some extra names,
> >>> but it's already got the "Japanese monster" theme going on with
> >>> godzilla.
> >>
> >> But mothra and rodan are not in the semaphore family, so I've never understood this.
> >>
> >> Keenan
> >
> > I think I remember reading that the Japanese movie monster theme was
> > for 7-limit temperaments that have 8/7 as the generator. It's not
> > comma-based.
>
> Ah, I wasn't sure about that. Well there's the 11-limit 5&19 and a
> couple of 13-limit extensions.
>
> 5&19 [<1 2 4 3 2|, <0 -2 -8 -1 7|]
> 5f&19 [<1 2 4 3 2 2|, <0 -2 -8 -1 7 8|]
> 5&19 [<1 2 4 3 2 6|, <0 -2 -8 -1 7 -11|]
>
> Then a couple of 13-limit versions of the 11-limit 5&9c (which has the
> unfortunate name "semafour").
>
> 5&9c semafour [<1 2 4 3 3|, <0 -2 -8 -1 2|]
> 5f&14c [<1 2 4 3 3 2|, <0 -2 -8 -1 2 8|]
> 5&19e [<1 2 4 3 3 6|, <0 -2 -8 -1 2 -11|]
>
> Finally there's the 13-limit versions of godzilla itself. One of these
> probably ought to be just "godzilla".
>
> 5e&14c [<1 2 4 3 6 5|, <0 -2 -8 -1 -12 -6|]
> 14c&19 [<1 2 4 3 6 2|, <0 -2 -8 -1 -12 8|]
> 5e&19 [<1 2 4 3 6 6|, <0 -2 -8 -1 -12 -11|]
>
> As far as 7&27e, "modus" is fine with me. I'll play around with some of
> these semaphore tunings and see if any of them suggest any weasel-like
> qualities. If not, then I'll look at the escapade bunch.
>
>