Blocks for my example

Here are 9 and 10 note Fokker blocks to go with my example:

1-16/15-75/64-5/4-4/3-3/2-8/5-128/75-15/8-(2),

with steps of

16/15-1125/1024-16/15-16/15-9/8-16/15-16/15-1125/1024-16/15

We have 6 16/15, 2 1125/1024 and 1 9/8.

The 10-note block goes

1-16/15-256/225-5/4-4/3-45/32-3/2-8/5-225/128-15/8-(2),

with steps of

16/15-16/15-1125/1024-16/15-135/128-16/15-16/15-1125/1024-16/15-16/15

This is 7 16/15, 2 1125/1024 and 1 135/128.

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

> Here are 9 and 10 note Fokker blocks to go with my example:
>
> 1-16/15-75/64-5/4-4/3-3/2-8/5-128/75-15/8-(2),

Here is a picture of the above in orwell-secor coordinates:

4/3

16/15 5/4

12/7 1 7/6

8/5 15/8

3/2

I've adjusted using some 7-limit approximations based on 225/224,
which belongs to the system.

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

The block example suggests that the equivalent Magic-Miracle
coordinates might be a better choice than Orwell-Miracle; if we call
the Osmium magic generator m, it is m = os, so that o = m/s.
Substituting this gives

3 ~ 2^2 m s^(-2)
5 ~ 2^2 m
7 ~ 2^3 s^(-2)
11 ~ 2^4 m^(-2) s

> 3 ~ 2^2 m s^(-2)

This should be 3 ~ 2^2 m^(-1) s^(-1)

In matrix form, the map is

[1 0 0]
[2 -1 -1]
[2 1 0]
[3 0 -2]
[4 -2 1]

This sends the 11-limit to the <2,m,s> system.