Micro micro madness

I wrote some probably useless Maple code which handles nano
temperaments, and here are some presumably useless results.

Paul discovered the curious 7-limit nano-et 103169 (unless someone
else wants to claim priority, I suppose.) Turing my new code loose on
this, I found that the 7-limit TM basis for it (in monzo format) is:

[[9, -28, 37, -18], [-92, -17, 21, 25], [110, -71, -11, 10]]

If you take the first two commas, you get a temperament with an even
more absurdly low badness figure than ennealimmal:

Wedgie: [1303, 1006, 41, -1431, -3593, -2729]
Mapping: [[1, -469, -361, -12], [0, 1303, 1006, 41]]

I wish I knew a potential use for this fact, but I can't think of one.

Some time back I found that 3125 is an excellent 7-limit et; somewhere
in the universe there is a race of beings who use base 5 and who think
the obvious way to measure intervals is dividing the octave into 3125
parts. The TM basis for 3125 is this:

[[-1, 4, 11, -11], [3, -13, 10, -2], [-48, 0, 11, 8]]

The second comma on the above list is the cawapu comma.

--- In tuning-math@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...>
wrote:
> I wrote some probably useless Maple code which handles nano
> temperaments, and here are some presumably useless results.
>
> Paul discovered the curious 7-limit nano-et 103169 (unless someone
> else wants to claim priority, I suppose.)

marc jones:

http://www.sonic-arts.org/dict/marc-edolist.htm