> It doesn't really look as though one goes around 20 times with those
> lines to get blackjack...
>
> I see a going around 10 times and then I get to D< but then there is
> not a connecting line going from that to the D> which begins a
> second "chain" of 10. And besides, between those two notes there are
> only 4 degrees of 72, not 7.
>
> What am I doing wrong??
>
There is only one chain. It _starts_ at D>. It goes around the circle
once, producing 9 more notes. Then D pops up. Then 9 more notes. Then
D< is last.
Well, this isn't very advanced... but, if not math, at least it's arithmetic... I still don't understand how 7 of the 72-tET scale is a generator of blackjack....
jpehrson@...
Jun 20, 2001 3:10 am
... _________________________________________________________ Do You Yahoo!? Get your free @yahoo.com address at http://mail.yahoo.com...
monz
joemonz@...
Jun 20, 2001 4:52 am
... Joseph, As a complement to Monz's explanation, see what I just added to http://uq.net.au/~zzdkeena/Music/MiraclePitchChart.gif It shows the octave as a...
Dave Keenan
D.KEENAN@...
Jun 20, 2001 6:14 am
... http://groups.yahoo.com/group/tuning-math/message/258 ... and follow the (new) straight line segments clockwise. You'll see each one jumps 7/72 of an...
jpehrson@...
Jun 21, 2001 2:09 am
... There is only one chain. It _starts_ at D>. It goes around the circle once, producing 9 more notes. Then D pops up. Then 9 more notes. Then D< is last....
Paul Erlich
paul@...
Jun 21, 2001 2:32 am
... http://groups.yahoo.com/group/tuning-math/message/267 ... those ... is ... are ... circle ... Then ... Thanks, Paul... I just started on the wrong note......
jpehrson@...
Jun 21, 2001 2:46 am
... http://groups.yahoo.com/group/tuning-math/message/256 ... Hello Monz! Thank you so much for this interesting response. Well, I read ahead, and I guess...
jpehrson@...
Jun 21, 2001 2:04 am
... Yup . . . it's identical in form to the derivation Woolhouse did (in 1835?) of the optimal meantone temperament, which turned out to have a fifth (the...
Paul Erlich
paul@...
Jun 21, 2001 2:29 am
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monz
joemonz@...
Jun 21, 2001 6:22 am
31-EDO is "MIRACLE" in exactly the same way that 12-tET is meantone. i.e. Not really. At best borderline, with large deviations from JI. We have the following...
Dave Keenan
D.KEENAN@...
Jun 22, 2001 12:40 am
... http://groups.yahoo.com/group/tuning-math/message/280 ... meantone. ... Thanks, Dave! This is very interesting... ______ _____ ______ Joseph Pehrson...
jpehrson@...
Jun 22, 2001 3:33 am
... I've also found it useful as a keyboard notation for Blackjack on a traditional keyboard -- it's easy to set up a 2-octave keyboard mapping with the...
Herman Miller
hmiller@...
Jun 22, 2001 1:52 am
... mapping ... black ... Herman, Could you describe this keyboard mapping in more detail? The main problem I'm having here is that there are 11 "unnaturals"...
... http://groups.yahoo.com/group/tuning-math/message/271 ... Thank you Monz, for this. This is the first time I've started to understand it. After the first...
jpehrson@...
Jun 22, 2001 3:26 am
... It's very simple. 72 divided by 7 is 10, with a remainder of 2. So after 10 generators in the cycle, you're 2 units short of where you started. Another...
Paul Erlich
paul@...
Jun 22, 2001 7:05 pm
... http://groups.yahoo.com/group/tuning-math/message/294 ... 72- ... cycle into a large (5-unit) step and a small (2-unit) step as you go around the second...
jpehrson@...
Jun 22, 2001 9:04 pm
In-Reply-To: <9gpf0f+i66g@eGroups.com> ... 11-limit by most figures of demerit, although that is ignoring some obviously too complex scales. 7-limit it's...
graham@...
Jun 21, 2001 6:19 pm
... Your page says "11 limit" where it should be "13 limit"....
Dave Keenan
D.KEENAN@...
Jun 22, 2001 1:26 am
In-Reply-To: <9gu46b+b1l3@eGroups.com> ... That could be continued Meantone MIRACLE ... 26-EDO 21-EDO 7-EDO 10-EDO 5-EDO 11-EDO although 7 and 5 may be...
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