Tuning-Math Digests messages 5475 - 5499

This is an Opt In Archive . We would like to hear from you if you want your posts included. For the contact address see About this archive. All posts are copyright (c).

Contents Hide Contents S 6

Previous Next

5000 5050 5100 5150 5200 5250 5300 5350 5400 5450 5500 5550 5600 5650 5700 5750 5800 5850 5900 5950

5450 - 5475 -



top of page bottom of page down


Message: 5475

Date: Thu, 31 Oct 2002 22:29:38

Subject: Re: New file uploaded to tuning-math

From: Carl Lumma

>>This .gif is golden.
>>
>>But I forget the coloring scheme...
>>
>>-Carl
> 
>bluish = consistent
>
>reddish = inconsistent
> 
>is that what you meant?

Yes, but what's hot purple (14, 20), and real
purple (24)?

-Carl


top of page bottom of page up down


Message: 5477

Date: Fri, 01 Nov 2002 21:52:23

Subject: Re: New file uploaded to tuning-math

From: Carl Lumma

>>>bluish = consistent
>>>
>>>reddish = inconsistent
>>> 
>>>is that what you meant?
>> 
>>Yes, but what's hot purple (14, 20),
> 
>reddish
> 
>>and real
>>purple (24)?
> 
>bluish (isn't that violet, not purple?)

Got it.  It's whatever you want to call it.

Did you do this just for visibility?


top of page bottom of page up down


Message: 5479

Date: Fri, 01 Nov 2002 23:09:59

Subject: Re: New file uploaded to tuning-math

From: Carl Lumma

>>Did you do this just for visibility?
> 
>yes.

It worked!

-C.


top of page bottom of page up down


Message: 5484

Date: Tue, 5 Nov 2002 01:36:12

Subject: 156edo, articulating septimal kleisma

From: monz

hmmm ... this is interesting:

i was searching for an EDO which would articulate the
"septimal kleisma" [2 2 -1] = 225:224 (~7.711522991 cents).

156edo looked very good, since the "augmented-6th" 225:128 and
the "harmonic-minor-7th" 7:4 are approximated very closely
by is 127 and 126 degrees, respectively.  thus, the
"septimal kleisma" is almost exactly 1 degree.

but then, when i made a bingo-card-lattice of 156edo
("perfect-5th" ~3:2 = 91 degrees, "major-3rd" ~5:4 = 50),
the representation of 225:128 turned out to be 126.

so at least in this mapping (which to me is the one
which makes the most sense ... i think ...), the
"septimal kleisma" is not articulated after all!

help.




-monz


top of page bottom of page up down


Message: 5485

Date: Tue, 05 Nov 2002 19:09:25

Subject: Re: 156edo, articulating septimal kleisma

From: Carl Lumma

> i was searching for an EDO which would articulate the
> "septimal kleisma" [2 2 -1] = 225:224 (~7.711522991 cents).

You could really articulate it with ets like 27 and 37,
which both represent it as one step, or 26, which shrinks
it to -1 steps!

If you really want to articulate it accurately, why not
use JI?

If Gene/Paul would follow through and make the tree zoom
duals, you might be able to see this kind of thing at a
glance!

-Carl


top of page bottom of page up down


Message: 5486

Date: Tue, 5 Nov 2002 10:56:20

Subject: Re: 156edo, articulating septimal kleisma

From: manuel.op.de.coul@xxxxxxxxxxx.xxx

Use DIVIDE/CONSISTENT 225/224
You see the size is zero in 156-ET, 152 is better.

Manuel


top of page bottom of page up down


Message: 5488

Date: Tue, 5 Nov 2002 02:02:37

Subject: Re: 156edo, articulating septimal kleisma

From: monz

thanks, Manuel.


> From: <manuel.op.de.coul@xxxxxxxxxxx.xxx>
> To: <tuning-math@xxxxxxxxxxx.xxx>
> Sent: Tuesday, November 05, 2002 1:56 AM
> Subject: Re: [tuning-math] 156edo, articulating septimal kleisma
>

> Use DIVIDE/CONSISTENT 225/224
> You see the size is zero in 156-ET, 152 is better.
> 
> Manuel





-monz


top of page bottom of page up down


Message: 5492

Date: Tue, 5 Nov 2002 22:34:24

Subject: Re: Tree zoom duals

From: monz

> From: "Gene Ward Smith" <genewardsmith@xxxx.xxx>
> To: <tuning-math@xxxxxxxxxxx.xxx>
> Sent: Tuesday, November 05, 2002 6:58 PM
> Subject: [tuning-math] Re: Tree zoom duals
>
>
> --- In tuning-math@y..., "wallyesterpaulrus" <wallyesterpaulrus@y...>
wrote:
> > --- In tuning-math@y..., "Gene Ward Smith" <genewardsmith@j...> wrote:
> >
> > >taking the last two gives us an affine coordinate patch: [b/log2(q),
> > >c/log2(q)] which can be used to plot commas as points.
> >
> > interesting . . . thanks so much gene!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
>
> Yer welcome--of course now you need to zoom out rather than
> in if you want to fool with this.
>
> What would be really cool is a 3D applet, which let you look at
> a 7-limit picture from various directions. We could have either
> ets as points, linear temperaments as lines, and commas as planes,
> or a dual picture with commas as points, linear temperaments
> again as lines, and ets as planes.



this is all stuff that i've always intended from the beginning
to have available in my JustMusic software.

JustMusic software,  (c) 1999 by Joseph L. Monzo *


unfortunately, both the project and the Yahoo group have
been slumbering for quite some time.  any chance we can
wake them up?



-monz
(still looking for a Microsoft Visual C++ programmer to help out)


top of page bottom of page up down


Message: 5496

Date: Wed, 06 Nov 2002 00:33:10

Subject: Re: 156edo, articulating septimal kleisma

From: Carl Lumma

>>If Gene/Paul would follow through and make the tree zoom
>>duals, you might be able to see this kind of thing at a
>>glance!
>> 
> 
>unfortunately, 225:224 has components in all three directions (3,
>5, and 7), so it might be hard without a nice VRML implementation
>of this . . .

Maybe Robert Walker can help us there...  For now, the 5-limit
would still be cool.  I suspect even cooler than the et-centric
versions...

-Carl


top of page bottom of page up

Previous Next

5000 5050 5100 5150 5200 5250 5300 5350 5400 5450 5500 5550 5600 5650 5700 5750 5800 5850 5900 5950

5450 - 5475 -

top of page