xenwiki comma update

http://xenharmonic.wikispaces.com/Comma has been updated to include a
7-limit comma that has a very neat relationship to 7-edo, one that I
discovered way back in 2003-08-13.
/tuning/topicId_46408.html#46408

I dubbed it "akjaysma", in a bit of shameless slef-promotion, or more
generally, the "5\7 octave comma".

--
Aaron Krister Johnson
http://www.akjmusic.com
http://www.untwelve.org

--- In tuning@yahoogroups.com, Aaron Krister Johnson <aaron@...> wrote:
>
> http://xenharmonic.wikispaces.com/Comma has been updated to include a
> 7-limit comma that has a very neat relationship to 7-edo, one that I
> discovered way back in 2003-08-13.
> /tuning/topicId_46408.html#46408

In terms of tetrad lattice coordinates, the comma pump goes to [14 14 14]. When I take all the notes of all the chords from [0 0 0] to [14 14 14] and map the result by 224 equal, which tempers out the akjaysma, I end up with 224 notes. That's one approach, I suppose, but don't let me stop anyone from using 1848et or even 20454et.

--- In tuning@yahoogroups.com, "genewardsmith" <genewardsmith@...> wrote:

> In terms of tetrad lattice coordinates, the comma pump goes to [14 14 14]. When I take all the notes of all the chords from [0 0 0] to [14 14 14] and map the result by 224 equal, which tempers out the akjaysma, I end up with 224 notes. That's one approach, I suppose, but don't let me stop anyone from using 1848et or even 20454et.

By the way, all the notes of all the chords from [-7 -7 -7] to [7 7 7] is a JI scale I've called Cube[15], the 15th chord cube:

http://xenharmonic.wikispaces.com/Chord+cubes

It has 2048 notes, but akjaysmic tempering reduces that to a mere 2044, since [-7 -7 -7] and [7 7 7] are the same.

On Mon, May 23, 2011 at 2:30 AM, genewardsmith
<genewardsmith@...>wrote:

>
> It has 2048 notes, but akjaysmic tempering reduces that to a mere 2044,
> since [-7 -7 -7] and [7 7 7] are the same.
>

I swear sometimes you missed your calling as a stand-up comedian for
mathematics geeks: I love the use of the word 'mere' above...!!

>
> Aaron Krister Johnson
http://www.akjmusic.com
http://www.untwelve.org