... Hi Dan, :-) I hope the actual point of my message isn't lost because of my ill-advised use of the word "trash". My apologies. I believe I defined what I...
Dave Keenan
D.KEENAN@...
Jun 23, 2001 8:06 am
... _________________________________________________________ Do You Yahoo!? Get your free @yahoo.com address at http://mail.yahoo.com...
monz
joemonz@...
Jun 23, 2001 6:05 pm
... Oh, well, see if you can come up with a better word for "chromatic unison vector" for when I start explaining this. Graham "I toss therefore I am" --...
Graham Breed
graham@...
Jun 23, 2001 6:42 pm
... http://groups.yahoo.com/group/tuning-math/message/305 ... What is the history of that term again, Monz?? Joe P....
jpehrson@...
Jun 24, 2001 3:11 am
... http://groups.yahoo.com/group/tuning-math/message/300 ... learned ... It certainly would... because it would be a *lot* easier to "dismiss" your posts!...
jpehrson@...
Jun 24, 2001 3:09 am
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monz
joemonz@...
Jun 24, 2001 5:37 am
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monz
joemonz@...
Jun 24, 2001 4:09 pm
... type ... Actually, with the 10-note 369c MOS, I was looking for a MOS scale that Paul would have difficulty finding unison-vectors for, that are anything...
Dave Keenan
D.KEENAN@...
Jun 25, 2001 9:15 am
... I think Dan just found unison vectors for your example, Dave!...
Paul Erlich
paul@...
Jun 25, 2001 11:39 am
... are ... and ... how ... If that's the case, then it makes my point quite well. Isn't it just a little ridiculous to refer to intervals of 351c and 114c as...
Dave Keenan
D.KEENAN@...
Jun 25, 2001 5:10 pm
... scale ... that ... UVs, ... those ... just a ... as "unison" ... Only if you think of the scale as existing _initially_ in JI. Some of my favorite scales,...
Paul Erlich
paul@...
Jun 25, 2001 10:05 pm
In-Reply-To: <021301c0fd42$4989a440$77bcd33f@stearns> ... I did get hold of that book a while back, so it may be where I got the idea from. (I say "may be"...
graham@...
Jun 25, 2001 9:53 am
In-Reply-To: <9h68ft+386j@eGroups.com> ... Yes, it does matter, but the vectors aren't unique. Where you have more than one commatic vector you have a lot of...
graham@...
Jun 25, 2001 10:56 am
... Getting rid of the first column: [-2 2 0 -1] [-1 1 1 1] [ 5 0 0 -2] [ 2 2 -1 0] the resulting FPB is cents numerator denominator 38.906...
Paul Erlich
paul@...
Jun 25, 2001 9:47 pm
... Yes, they both give Miracle41, but a different Miracle41 each time/ ... No, it helps to define the temperament. If you invert and normalize the...
Graham Breed
graham@...
Jun 26, 2001 9:05 pm
... Can you explain what you mean by "different"? They're both centered around the 1/1, so it's not the mode that's different . . . ... Well that sounds like...
Paul Erlich
paul@...
Jun 28, 2001 1:23 am
... No one was proposing generalizing commatic unison vectors as "chromas". They were suggesting generalizing _chromatic_ unison vectors as "chromas". ... I...
Paul Erlich
paul@...
Jun 25, 2001 11:27 am
... /.../ ... Can somebody fill me in on what is meant by "interval of repetition" here? -C....
carl@...
Jun 25, 2001 4:40 pm
... It's just Paul inventing yet another term for what has been called (ill advisedly when relating to MOS) formal octave interval of equivalence and more...
Dave Keenan
D.KEENAN@...
Jun 25, 2001 5:39 pm
In-Reply-To: <9he0uv+d2ll@eGroups.com> ... One is 10+41n, the other 31+41n. The mapping by period and generator is the same both times. So they're both...
graham@...
Jun 28, 2001 11:49 am
... time/ ... What do you mean by this notation? ... temperament. ... seriously. I'm not following you. ... What's "It" in this sentence? ... left ... does. ...
Paul Erlich
paul@...
Jun 28, 2001 6:30 pm
... Temperements including the ETs with 10+41n or 31+41n notes, where n is a non-negative integer. ... I explained this before. When you generate the scales...
Graham Breed
graham@...
Jun 28, 2001 8:10 pm
... is a ... I'm still confused about how there can be two different MIRACLE-41s. Are there two different Canastas too, or does the divergence only happen at...
Paul Erlich
paul@...
Jun 28, 2001 8:31 pm
... There are two Canstas, 10+31n and 21+31n. ... It's not clear to me if the duality is real or not. ... Are the FPBs different in this sense? For the...
graham@...
Jun 28, 2001 9:29 pm
... 41s. ... Hmmm . . . what's the _real_ difference between these two? ... Yes -- look back a few days -- I showed that there was a schisma difference between...
Paul Erlich
paul@...
Jun 28, 2001 9:55 pm
... n ... Graham, I still don't understand this. So 10+41n includes ETs 10 51 61 71 ... and 31+41n includes 31 72 113 ... Only the second looks anything like ...
Dave Keenan
D.KEENAN@...
Jun 28, 2001 10:29 pm
In-Reply-To: <9hgb48+f78j@eGroups.com> ... They both cover this part of the scale tree 31 10 41 72 51 93 113 91 61...
graham@...
Jun 29, 2001 11:27 am
... like ... Ok. I can see that you are the one who is confused here. Miracle does not go outside of 31 41 72 93 113 Well Ok, it does go a tiny bit past 41,...
Dave Keenan
D.KEENAN@...
Jun 29, 2001 11:48 pm
... Shouldn't the bottom line be 103, 113, 92, 61?...
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