Talk:Septisemi temperaments - Revision history

Mike Battaglia: 1 revision imported: Moving archived Wikispaces discussion to subpage

2018-10-01T18:02:42Z

1 revision imported: Moving archived Wikispaces discussion to subpage

← Older revision	Revision as of 18:02, 1 October 2018
(No difference)

Wikispaces>FREEZE at 18:01, 1 October 2018

2018-10-01T18:01:16Z

← Older revision		Revision as of 18:01, 1 October 2018
Line 1:		Line 1:
	~~= ARCHIVED WIKISPACES DISCUSSION BELOW =~~		{{WSArchiveLink}}
	~~'''All discussion below is archived from the Wikispaces export in its original unaltered form.'''~~
	~~----~~

	~~== 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~~
	~~----~~

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

New page

= ARCHIVED WIKISPACES DISCUSSION BELOW =
'''All discussion below is archived from the Wikispaces export in its original unaltered form.'''
----

== 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
----