clumma@... wrote: << To make a cross set, transpose the scale by each of its own degrees. >> I believe that Wilson defines a cross set as the product of...
5194
Joe Monzo
monz@xxxx.xxxx
Oct 1, 1999 11:11 am
... You're explaining all this to me too, Paul. :) -monz Joseph L. Monzo Philadelphia monz@... http://www.ixpres.com/interval/monzo/homepage.html...
5195
Paul H. Erlich
PErlich@xxxxxxxxxxxxx...
Oct 1, 1999 4:51 pm
Kraig Grady wrote, ... Kraig, you should know your own archives better than this! The third page of http://www.anaphoria.com/trans22.html is entitled "22-tone...
5196
Paul H. Erlich
PErlich@xxxxxxxxxxxxx...
Oct 1, 1999 5:00 pm
Joe Monzo wrote, ... The periodicity block concept is really about reducing an infinite number of _pitches_ to one specific set (or, if you don't specify the...
5197
Paul H. Erlich
PErlich@xxxxxxxxxxxxx...
Oct 1, 1999 5:03 pm
Carl Lumma wrote, ... Agreed! Too bad theorists like Zweifel have been seduced by it....
5198
Paul H. Erlich
PErlich@xxxxxxxxxxxxx...
Oct 1, 1999 5:11 pm
Carl Lumma wrote, ... This is also known as the Euler genus with the same factors....
5199
Paul H. Erlich
PErlich@xxxxxxxxxxxxx...
Oct 1, 1999 5:36 pm
Kees van Prooijen wrote, ... This should be of great interest to Heinz Bohlen. Essentially this means that, if you extend the tritave (3:1)-equivalent (5,7)...
5200
Kraig Grady
kraiggrady@xxxxxxxxx....
Oct 2, 1999 2:45 am
I was aware of examples. it was definition that is lacking. Also in relation to corsets, it is the reciprocal corsets that Erv seems to enjoy most. Like the ...
5201
D.Stearns
stearns@xxxxxxx.xxxx
Oct 2, 1999 6:34 am
Awhile back Kraig Grady wrote that propriety was a concept that seemed to have drifted from his mind "like feathers that are blown away when you shake them..."...
5202
Paul H. Erlich
PErlich@xxxxxxxxxxxxx...
Oct 2, 1999 11:49 am
... That's right! ... Right again (though I might say chain-of-fifths diatonic since Pythagorean is a specific tuning). ... I guess it depends what you're...
5203
Paul H. Erlich
PErlich@xxxxxxxxxxxxx...
Oct 2, 1999 1:09 pm
Kraig wrote, ... I wrote, ... Kraig did not respond to this request. For example, Kraig, didn't you once make the point that 2nd order MOS scales, like C E F G...
5204
D.Stearns
stearns@xxxxxxx.xxxx
Oct 2, 1999 4:55 pm
[Paul H. Erlich:] ... OK, good. ... Pythagorean is a specific tuning). Right, that's what I meant. ... discredit about it. Well I'm just trying to better...
5205
Carl Lumma
clumma@xxx.xxxx
Oct 2, 1999 2:00 pm
... Didn't you just say, ... So what exactly are some properties that meantone scales share, even when they don't share cardinality (other than the definition...
5206
Paul H. Erlich
PErlich@xxxxxxxxxxxxx...
Oct 2, 1999 2:23 pm
... Whoops -- I must clarify. I meant only if it causes different notes in the _diatonic_ scale to become equivalent to one another, leaving it with less than...
5207
D.Stearns
stearns@xxxxxxx.xxxx
Oct 3, 1999 2:02 am
This is a footnote from Jan Swafford's biography of Charles Ives, _A Life with Music_. I've quoted it in its entirety because I believe that the topics...
5208
Kraig Grady
kraiggrady@xxxxxxxxx....
Oct 2, 1999 11:24 pm
Paul! I don't know if this is right. but it is a constant structure in relation to the generator (4th) is always subtended by the same number of tones. I think...
I posted the photos of the just intonation necks I just finished for Jon Catler and David Beardsley. Has anyone ever seen bent frets like this before? ...
5211
D.Stearns
stearns@xxxxxxx.xxxx
Oct 3, 1999 10:37 am
While growing bleary eyed by chipping away at revising an old score, I just noticed this pretty interesting example of an a fairly unusual scale (a pretty...
5212
Carl Lumma
clumma@...
Oct 3, 1999 2:30 pm
... Paul, I already admitted that strict propriety is not required for your definition of CS. But, if even one interval appears in more than one mode, strict...
5213
Carl Lumma
clumma@xxx.xxxx
Oct 3, 1999 2:36 pm
... Dan, if you search the archives for the word, "paraphrase", you should come across my post "Paraphrase of some Rothenberg" rather quickly (TD 262.14). If...
5214
Carl Lumma
clumma@xxx.xxxx
Oct 3, 1999 2:47 pm
... Paul, all I was asking: is there any property, say something that could be defined on the interval matrix, that scales would share if they shared a unison...
5215
Carl Lumma
clumma@xxx.xxxx
Oct 3, 1999 3:01 pm
... No! Glenn, this is one damn-fine looking piece of wood! Is it attached to a GL guitar? Would it be okay with Catler if you posted the scale design that...
5216
Darren Burgess
dburgess@xxxxxxxxxxxx...
Oct 3, 1999 3:19 pm
Glen, From the photos, it looks like you do beautiful work. Are there 28 notes in the octave? Perhaps you could share with us the string and fret tuning. ...
5217
Paul H. Erlich
PErlich@xxxxxxxxxxxxx...
Oct 3, 1999 4:50 pm
I wrote, ... Carl wrote, ... Hardly! C E F G B is a CS according to an old post by Kraig (which he is now unsure of), since C-E and G-B are each one step and...
5218
Paul H. Erlich
PErlich@xxxxxxxxxxxxx...
Oct 3, 1999 4:57 pm
... I'm sure there are many such properties -- the meantone one, that four fifths equal a major third, is certainly defined on the interval matrix. As I said...
5219
Paul H. Erlich
PErlich@xxxxxxxxxxxxx...
Oct 3, 1999 5:22 pm
Whoops, it appears I missed a couple of messages. I saw "Re: New Just Intonation Neck with Bent Frets" and never got the original. So I checked the archives...
5220
Paul H. Erlich
PErlich@xxxxxxxxxxxxx...
Oct 3, 1999 5:44 pm
Carl wrote, ... I wrote, ... I forgot to mention, B-C and E-F are each one step....
5221
DWolf77309@xx.xxx
Oct 3, 1999 8:56 pm
I've just read through an article by Mahnkopf on Ferneyhough's _String Trio_(1995). According to Mahnkopf, the pitch content of the piece is derived from a...
