Talk:Septisemi temperaments/WikispacesArchive

From Xenharmonic Wiki
Jump to: navigation, search


All discussion below is archived from the Wikispaces export in its original unaltered form.
Please do not add any new discussion to this archive page.
All new discussion should go on Talk:Septisemi temperaments.


I assume that this page came because of the thing I posted about looking at Fokker blocks with 21/20 as a unison vector on tuning. I know that assumptions are bad to make, but I don't see any other reason why Gene would ever invent this temperament.

I'm just writing this to clarify that I wasn't looking for temperaments that temper out 21/20, but Fokker blocks that have 21/20 as a -CHROMATIC- unison vector. These blocks will be epimorphic under vals that DO temper out 21/20. So that's why I was typing 21/20 into Graham's temperament finder: to find such vals.

Then, for each val, I was going to find its dual D, and then see what the solutions are to this equation:

21/20 ^ T = D

Where T are going to correspond to really useful multimonzos that define really useful temperaments that have 4:6:7 and 6:9:11 share a triad class in one of the MOS's.

I haven't had time to code up a search yet, but if you guys have tools available to quickly find such temperaments feel free to give it a shot...

- mbattaglia1 January 08, 2012, 03:59:35 PM UTC-0800

Ack, this is for 21/20, and I was talking about 22/21. Maybe it really is something different.

- mbattaglia1 January 08, 2012, 04:23:58 PM UTC-0800

It's just a result of my project to completely list various ranks and dimensions of temperaments within certain fairly broad bounds.

- genewardsmith January 08, 2012, 05:19:25 PM UTC-0800