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Chalmers/Wilson linear temperaments from XH2

🔗Mike Battaglia <battaglia01@...>

6/19/2012 6:44:59 PM

I swear I posted this before, but I can't find it now. Either it didn't go
through, or I'm totally blind, but I'll post it again.

Check it out, from XH2 - 1974

/tuning/files/MikeBattaglia/ChalmersLinearCompressed.pdf

The three linear temperaments mentioned, if all the higher-limit extensions
are taken into account, correspond to

"Negative System":
http://x31eq.com/cgi-bin/rt.cgi?ets=19d_31&limit=13(13-limit Meantone)
"Positive System":
http://x31eq.com/cgi-bin/rt.cgi?ets=29_41&limit=13(13-limit Cassandra)
"Doubly Positive System" #1:
http://x31eq.com/cgi-bin/rt.cgi?ets=22p_27p&limit=13 (13-limit Suprapyth +
91/90)
"Doubly Positive System" #2:
http://x31eq.com/cgi-bin/rt.cgi?ets=22p_27e&limit=13 (13-limit Superpyth)

Note also that different least-squares tunings are given, corresponding to
different subgroups of the above temperaments, including things like 2.3.7
and 2.5.7 and so on.

-Mike

🔗kraiggrady <kraiggrady@...>

6/20/2012 6:16:02 AM

HI Mike~
Interesting this should come up as the same article came up in conjunction with this post on Kornerup found linked here. a forwarded comment of John is included which ties in with this article.

http://wilsonarchives.blogspot.com.au/2012/06/kornerup-notes.html <http://wilsonarchives.blogspot.com.au/2012/06/kornerup-notes.html>

I might mention also that a copy of Kornerup's book can now be found online here.

http://echo.mpiwg-berlin.mpg.de/ECHOdocuViewfull?pn=4&ws=1.5&cont=0.8&url=/mpiwg/online/permanent/library/RC73YHZQ/pageimg&viewMode=images&mode=imagepath
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