hey guys, in the first graph here:

http://www.ixpres.com/interval/dict/eqtemp.htm

there's no label on the linear temperament that goes through 12, 73,

61, 49, and 37. what is it?

>http://www.ixpres.com/interval/dict/eqtemp.htm

>

>there's no label on the linear temperament that goes through 12, 73,

>61, 49, and 37. what is it?

In Herman Miller's version, you can see that 25 is on the other side

of 37 from 12.

The 64:63 vanishes as a 7-limit comma in 27, 37, 49, and 12, and as

a 9-limit comma in 61. I can't seem to get it to vanish in 73.

The generator could be 98 cents... 6/73 gives MOS of 61, 49, 37, 25,

13, and 12 according to Scala.

As a method for finding generators from a series of equal temperaments,

maybe a spreadsheet that graphs each temperament's intervals on a line.

Where the lines get close, you have common generators. Any Excel

wizards out there think this is a good idea?

More to the point, every line on this plane is a linear temperament,

right? So what makes low-numbered (less than 100) equal temperaments

cluster on some of them?

Finally, re the jumping jacks / ideal comma question... what's the

question? How are we defining "most powerful" comma? Have we decided?

What's the relationship between a comma vanishing and a map? I say

the most powerful maps are the ones with the smallest numbers in them.

Sum of abs value would work. What do y'all think?

-Carl

>The 64:63 vanishes as a 7-limit comma in 27, 37, 49, and 12,

That's supposed to be *25*, 37, 49...

-Ca.

--- In tuning-math@y..., Carl Lumma <carl@l...> wrote:

> The generator could be 98 cents... 6/73 gives MOS of 61, 49, 37, 25,

> 13, and 12 according to Scala.

Right--the comma is 262144/253125, and the rms generator 98.317 cents.

>>there's no label on the linear temperament that goes through 12, 73,

>>61, 49, and 37. what is it?

>

>In Herman Miller's version, you can see that 25 is on the other side

>of 37 from 12.

He also gives the 5-limit comma for this series as [-4 -5].

-Carl

>He also gives the 5-limit comma for this series as [-4 -5].

And shows a couple of series that don't have lines on monz's

chart:

"""

(3 4) : 28 47 19 48 29

(-2 7) : 26 29 32

"""

-Carl

--- In tuning-math@y..., "genewardsmith" <genewardsmith@j...> wrote:

> --- In tuning-math@y..., Carl Lumma <carl@l...> wrote:

>

> > The generator could be 98 cents... 6/73 gives MOS of 61, 49, 37,

25,

> > 13, and 12 according to Scala.

>

> Right--the comma is 262144/253125, and the rms generator 98.317

cents.

so monz should have a [18 -4 -5] label on the 12-73-61-49-37 line.