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I think this can be easily confused with the harmonic function "Dominant" http://en.wikipedia.org/wiki/Dominant_%28music%29
- xenwolf September 27, 2011, 11:59:51 PM UTC-0700
11-limit squares mapping
Gene, the 11-limit squares mapping given here is not really "squares"; it's a much more complex and less useful temperament.
Real squares tempers out 99/98, which is very characteristic of it.
- keenanpepper September 17, 2011, 11:33:32 PM UTC-0700
That's because there were two entries for squares on the page. The usual 99/98 one was further down. I've merged them both into one, and given the 11-limit mapping listed the name "cuboctohedra."
- mbattaglia1 September 18, 2011, 09:16:07 AM UTC-0700
- keenanpepper September 19, 2011, 07:04:34 PM UTC-0700
It's apparently supposed to be spelled "cuboctahedra," so I'm changing it now.
- mbattaglia1 September 26, 2011, 01:12:39 PM UTC-0700
I came up with a temperament called "maqamic," which was an attempt to deal with all of the issues surrounding the problem of finding a universal maqam theory and translate those, mathematically, into the regular mapping paradigm. I ended up with what I call a "strongly adaptive" temperament, which is deliberately constructed for play on fretless instruments, and which is interesting in that it leads to a new way of thinking about "coarser" temperaments. I hope it'll open a new exploration into adaptive JI over temperaments, but there's more about all this on tuning.
My question is, the write up for this was a little long, and it's not possible to shorten it too much without leaving important information out. Should we make a "maqamic" page perhaps, rather than stick it all on here?
- mbattaglia1 September 03, 2011, 12:28:49 AM UTC-0700
I think it should definitely have its own page. These "family" pages should not be allowed to grow too large.
By the way, I want a name I can call the 2.3.11 subgroup temperament that only tempers out 243/242.
- keenanpepper September 03, 2011, 02:32:09 AM UTC-0700
Well, as it stands, temperaments eliminating 243/242 include mohajira, migration, maqamic, myna, miracle, and mohoho. There's also this one, which I was going to name something also starting with m that's similar in meaning to mohajira or migration:
So whatever you do, it should definitely start with m.
Maybe we should make a 243/242 page, which has a master 188.8.131.52.11 rank-3 243/242 temperament, which should also have a name that starts with m. Maybe "meditation," since neutral thirds are pretty meditative. Then we can spin all of these temperaments onto their own family page, and then maqamic would be on it instead of here.
The problem though is that I was thinking about making a rank-3 "supermaqamic" page, which would eliminate 121/120 (and hence 243/242) from the comma basis).
- mbattaglia1 September 03, 2011, 03:06:49 AM UTC-0700
or maybe something could be "metaphor", since it's kind of the opposite of "semaphore"
- mbattaglia1 September 03, 2011, 03:09:09 AM UTC-0700