ARCHIVED WIKISPACES DISCUSSION BELOW
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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