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.