monz's et graph (from my lumma.gif)

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.