Name for the wedge product of monzos?

Do we have a name for the wedge product of monzos? These things very
cleverly generalize periodicity blocks.

-Mike

wedgie?

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-----Original message-----
From: Mike Battaglia <battaglia01@gmail.com>
To: tuning-math@yahoogroups.com
Sent: Sat, Nov 5, 2011 14:44:50 GMT+00:00
Subject: [tuning-math] Name for the wedge product of monzos?

Do we have a name for the wedge product of monzos? These things very
cleverly generalize periodicity blocks.

-Mike

I think wedgies are the wedge products of vals.

-Mike

On Sat, Nov 5, 2011 at 11:49 AM, phjelmstad@msn.com <phjelmstad@msn.com> wrote:
>
> wedgie?
>
> Sent via DroidX2 on Verizon Wireless™

i think it can be either (dual)

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-----Original message-----
From: Mike Battaglia <battaglia01@gmail.com>
To: tuning-math@yahoogroups.com
Sent: Sat, Nov 5, 2011 15:53:31 GMT+00:00
Subject: Re: [tuning-math] Name for the wedge product of monzos?

I think wedgies are the wedge products of vals.

-Mike

On Sat, Nov 5, 2011 at 11:49 AM, phjelmstad@msn.com <phjelmstad@msn.com> wrote:
>
> wedgie?
>
> Sent via DroidX2 on Verizon Wireless™

------------------------------------

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Mike wrote:

> Do we have a name for the wedge product of monzos? These things very
> cleverly generalize periodicity blocks.

bi/tri/etc monzos

> I think wedgies are the wedge products of vals.

Paul's right - it's both. -C.

--- In tuning-math@yahoogroups.com, Mike Battaglia <battaglia01@...> wrote:
>
> Do we have a name for the wedge product of monzos? These things very
> cleverly generalize periodicity blocks.

I just call them multimonzos.

--- In tuning-math@yahoogroups.com, Mike Battaglia <battaglia01@...> wrote:
>
> I think wedgies are the wedge products of vals.

They are the normalized wedge products of vals.

OK, but just for clarity, the term "wedgie" refers to both normalized
multivals and normalized multimonzos, right?

-Mike

On Sun, Nov 6, 2011 at 1:42 PM, genewardsmith
<genewardsmith@sbcglobal.net>wrote:

> **
>
>
>
>
> --- In tuning-math@yahoogroups.com, Mike Battaglia <battaglia01@...>
> wrote:
> >
> > I think wedgies are the wedge products of vals.
>
> They are the normalized wedge products of vals.
>
>
>

--- In tuning-math@yahoogroups.com, Mike Battaglia <battaglia01@...> wrote:
>
> OK, but just for clarity, the term "wedgie" refers to both normalized
> multivals and normalized multimonzos, right?

It's not merely that the same word refers to them both, it's that they're the same mathematical objects.

This is true in finite limits, at least; for omega-limit stuff, when you need an infinite number of one or the other, there might be problems.

Keenan

On Mon, Nov 7, 2011 at 12:39 AM, Keenan Pepper <keenanpepper@gmail.com> wrote:
>
> --- In tuning-math@yahoogroups.com, Mike Battaglia <battaglia01@...> wrote:
> >
> > OK, but just for clarity, the term "wedgie" refers to both normalized
> > multivals and normalized multimonzos, right?
>
> It's not merely that the same word refers to them both, it's that they're the same mathematical objects.

I don't see why you say that; it seems as though they'd be dual to one another.

-Mike

--- In tuning-math@yahoogroups.com, Mike Battaglia <battaglia01@...> wrote:
>
> OK, but just for clarity, the term "wedgie" refers to both normalized
> multivals and normalized multimonzos, right?

That's not the way I use the term.

--- In tuning-math@yahoogroups.com, Mike Battaglia <battaglia01@...> wrote:
>
> On Mon, Nov 7, 2011 at 12:39 AM, Keenan Pepper <keenanpepper@...> wrote:
> >
> > --- In tuning-math@yahoogroups.com, Mike Battaglia <battaglia01@> wrote:
> > >
> > > OK, but just for clarity, the term "wedgie" refers to both normalized
> > > multivals and normalized multimonzos, right?
> >
> > It's not merely that the same word refers to them both, it's that they're the same mathematical objects.
>
> I don't see why you say that; it seems as though they'd be dual to one another.

Take the dual of a normalized multimonzo and you get +- a wedgie.