Talk:Septisemi temperaments/WikispacesArchive

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ARCHIVED WIKISPACES DISCUSSION BELOW

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Hmmmm...

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