new 1/6-comma meantone lattice

I've added a new lattice to my "Lattice Diagrams comparing
rational implications of various meantone chains" webpage:

http://www.ixpres.com/interval/monzo/meantone/lattices/lattices.htm

It's about 2/3 of the way down the page: a new lattice
showing a definition of 1/6-comma meantone within a
55-tone periodicity-block... just under the old 1/6-comma
lattice, below this text:

>> And here is a more accurate lattice of the above,
>> showing a closed 55-tone 1/6-comma meantone chain and
>> its implied pitches, all enclosed within a complete
>> periodicity-block defined by the two unison-vectors
>> 81:80 = [-4 4 -1] (the syntonic comma, the shorter
>> boundary extending from south-west to north-east on
>> this diagram) and [-51 19 9] (the long nearly vertical
>> boundary), portrayed here as the white area.
>>
>> For the bounding corners of the periodicity-block, I
>> arbitrarily chose the lattice coordinates [-7.5 -5]
>> for the north-west corner, [-11.5 -4] for north-east,
>> [11.5 4] for south-west, and [7.5 5] for south-east.
>> This produces a 55-tone system centered on n^0.
>>
>> The grey area represents the part of the JI lattice
>> outside the defined periodicity-block (and thus, with
>> each of those pitch-classes in its own periodicity-block),
>> and the lattice should be imagined as extending infinitely
>> in all four directions. The other periodicity-blocks,
>> all identical to this one, can be tiled against it to
>> cover the entire space.

love / peace / harmony ...

-monz
http://www.monz.org
"All roads lead to n^0"

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