Tuning-Math Digests messages 10755 - 10779

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Message: 10755

Date: Mon, 05 Apr 2004 01:23:19

Subject: Re: 126 7-limit linears

From: Paul Erlich

--- In tuning-math@xxxxxxxxxxx.xxxx "Gene Ward Smith" <gwsmith@s...> 
wrote:
> --- In tuning-math@xxxxxxxxxxx.xxxx "Paul Erlich" <perlich@a...> 
> wrote:
> > Hi Gene,
> > 
> > Would you be so kind as to produce a file like the one below, but 
> > instead of culling to 126 lines, leave all 32201 in there? That 
> would 
> > be great. If that's too much, you could cut off the error and 
> > complexity wherever you see fit. The idea, though, is to produce 
a 
> > graph, and as most pieces of paper are rectangular, the data 
should 
> > fill a rectangular region. I'm *not* arguing for a rectangular 
> > badness function.
> 
> I could either upload something or email it. Which is better?

Uploading keeps things public. If that doesn't work, e-mail.

> > Also could you provide the TM-reduced kernel bases -- at least 
for 
> > the 126 below?
> 
> Not unless I write code to fully automate the process first.
> 
> Are we getting serious about the paper again?

John Chalmers just reneged on his much earlier reneging of having a 
paper by me in XH18. He's putting a serious time-clamp on me, so 
there's absolutely no way we can iron out our differences in time. 
Right now I have 7.5 pages of text, 2 pages of endnotes, and I'm 
planning to have loads of those horagrams (which look much nicer 
printed directly to paper than as .jpgs or .gifs). Many people are 
thanked, especially you, Graham, and Dave. The main concern at this 
point is *understandability*. If the importance of the results can't 
be communicated to the average xenharmonicist, then all is lost. My 
XH17 paper was too hard for most people, and this one is much more 
ambitious. It's still only going to scratch the surface, leaving out 
most of the math, lattices, keyboard designs etc. that one would 
ideally like to see. Only so much space (not to mention time).

> It's not as if the 
> marklet is flooded with good math-heavy theory papers or books.

Gene, you've done work of such breadth and depth. Is it going to 
remain unorganized, spread across thousands of posts, forever?


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Message: 10757

Date: Mon, 05 Apr 2004 03:12:28

Subject: Re: Why AMT (amity)?

From: Paul Erlich

--- In tuning-math@xxxxxxxxxxx.xxxx "Paul Erlich" <perlich@a...> 
wrote:

> Another question -- why "semisixths" but "hemifourths"? Why 
> not "semifourths"? A hyphenated use of the latter word is found 
here:
> 
> http://www.anaphoria.com/xen3a.PDF - Ok *

I presume the lack of a response means "no reason"?


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Message: 10761

Date: Mon, 05 Apr 2004 09:45:04

Subject: Re: Comma names

From: Graham Breed

Gene Ward Smith wrote:

>>121/120
> 
> Naming it after linear temperaments, this could be the undecimal
> schrutar-orwell-valentine comma, or unisov for short.

That's the neutral second comma, because it's between 12:11 and 11:10.

>>225/224 septimal kleisma (is this the best we can do?)
> 
> The marvel comma (not to be confused with Marvel Comics) or the
> miracle-orwell comma.

I though it was already established as a kleisma.  The only reason the 
name "marvel" had to be thought up is that there's already a "kleismic". 
  Of course, it is the marvel comma, but it's mostly the septimal 
kleisma.  What's wrong with that name?

If it does need a new one, how about some permutation of "secor"?  It's 
the comma between 16:15 and 15:14, the two simple rationalizations of a 
secor.  And George doesn't have a comma yet.

>>441/440
> 
> It's a comma of miracle and unidec, but there are other linear
> temperaments involved here which are pretty good but not yet named.

I don't see a "Wilson's comma" either.  Surely Erv must have run into 
this somwhere.


                         Graham


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Message: 10763

Date: Tue, 06 Apr 2004 21:59:24

Subject: Re: The five 16/15 27/25 Fokker pentatonics

From: Paul Erlich

--- In tuning-math@xxxxxxxxxxx.xxxx "Gene Ward Smith" <gwsmith@s...> 
wrote:
> [1, 6/5, 4/3, 3/2, 5/3]
> [1, 6/5, 4/3, 3/2, 9/5]
> [1, 6/5, 5/4, 3/2, 5/3]
> [1, 6/5, 4/3, 8/5, 5/3]
> [1, 6/5, 4/3, 8/5, 9/5]

Thanks for finally getting around to these! I enjoyed when you listed 
Scala names, when available . . .


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Message: 10764

Date: Tue, 06 Apr 2004 22:09:23

Subject: Re: The five 16/15 27/25 Fokker pentatonics

From: Paul Erlich

--- In tuning-math@xxxxxxxxxxx.xxxx "Paul Erlich" <perlich@a...> 
wrote:
> --- In tuning-math@xxxxxxxxxxx.xxxx "Gene Ward Smith" 
<gwsmith@s...> 
> wrote:
> > [1, 6/5, 4/3, 3/2, 5/3]
> > [1, 6/5, 4/3, 3/2, 9/5]
> > [1, 6/5, 5/4, 3/2, 5/3]
> > [1, 6/5, 4/3, 8/5, 5/3]
> > [1, 6/5, 4/3, 8/5, 9/5]
> 
> Thanks for finally getting around to these! I enjoyed when you 
listed 
> Scala names, when available . . .

Why doesn't [1, 6/5, 5/4, 3/2, 9/5] qualify? I forgot your 
conventions . . .


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Message: 10773

Date: Tue, 06 Apr 2004 19:33:01

Subject: Re: 126 7-limit linears

From: Paul Erlich

--- In tuning-math@xxxxxxxxxxx.xxxx "Gene Ward Smith" <gwsmith@s...> 
wrote:
> --- In tuning-math@xxxxxxxxxxx.xxxx "Paul Erlich" <perlich@a...> 
wrote:
> > Hi Gene,
> > 
> > Would you be so kind as to produce a file like the one below, but 
> > instead of culling to 126 lines, leave all 32201 in there?
> 
> I presume you want TOP error, but what complexity do you want? 

The same complexity you used there, when you culled to 126 (just 
click "up thread" repeatedly if you forgot). It was the L1 kind.

>Should
> I use logflat badness?

No badness figure required.

> This will take some amount of time to compute, so I want to get it
> right the first time.

Well, if you can't reproduce the results you posted when you culled 
to 126, it'll be a good sign something's wrong. Of course, I should 
do an independent check myself, but time is running out.


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