[tuning-math] Re: The 7-limit tetrads of Blackjack

--- In tuning-math@xxxx, Gene W Smith <genewardsmith@xxxx> wrote:
> 15/14, an approximate secor, translates to [0 0 2] in terms of the 
cubic
> lattice representation. In the place of a chain of secors, we can 
regard
> the chords of Blackjack as a chain of [0 0 1] generators, two of 
which
> make up a 15/14 modulation up. The 7-limit commas of the 72-et are
> 
> 225/224 [1 1 4]
> 1029/1024 [3 4 1]
> 4375/4374 [5 -6 -3]
> 
> and redundently but importantly,
> 
> 2401/2400 [2 3 -3]
> 
> Our chain of [0 0 1] generators gives us this:
> 
> [0 1 -2] ~ [-2 -2 1] (2401/2400)
> [-2 -2 0]
> [-2 -2 -1] ~ [-1 -1 3]  (225/224)
> [-1 -1 2]
> [-1 -1 1]
> [-1 -1 0]
> [-1 -1 -1]
> [-1 -1 -2] ~ [0 0 2] (225/224)
> [0 0 1]
> [0 0 0]
> [0 0 -1]
> [0 0 -2]
> [0 0 -3]
> [1 1 0] ~ [0 0 -4] (225/224)
> [1 1 -1]
> [-1 -2 1] ~ [1 1 -2] (2401/2400)

Hi Gene,

this is probably fascinating stuff, but I can make neither head nor 
tail of it. As I think I've said before, more headings on tables, more 
diagrams and more textual explanations are always a good idea. I 
assume your intention is to actually be understood, as opposed to say 
merely posting to list as a way of recording your ideas.

Regards,
-- Dave Keenan


------------------------ Yahoo! Groups Sponsor ---------------------~-->
Save on REALTOR Fees
http://us.click.yahoo.com/Xw80LD/h1ZEAA/Ey.GAA/wHYolB/TM
---------------------------------------------------------------------~->

To unsubscribe from this group, send an email to:
tuning-math-unsubscribe@xxxxxxxxxxxxxxx

 

Your use of Yahoo! Groups is subject to http://docs.yahoo.com/info/terms/ 


____________________________________________________________

To learn how to configure this list via e-mail (subscribe,
unsubscribe, etc.), send a message to listar@xxxxxxxxxxxxx
with the subject line "info tuning-math".  Or visit the
website:  < http://www.freelists.org/list/tuning-math > .

Other related posts: