Skip to search.
tuning-math

Group Information

  • Members: 191
  • Category: Mathematics
  • Founded: May 21, 2001
  • Language: English
? Already a member? Sign in to Yahoo!

Yahoo! Groups Tips

Did you know...
Hear how Yahoo! Groups has changed the lives of others. Take me there.

Messages

  Messages Help
Advanced
9-limit stepwise   Message List  
Reply Message #9886 of 20696 |
Re: 9-limit stepwise

--- In tuning-math@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...>
wrote:
> --- In tuning-math@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...>
> wrote:
>
> > > 116 [49/45, 10/9, 9/8, 8/7] [1, 1, 2, 2] 1.568046 6
> > Pajara[6]
>
> It's six notes of pajara, but not Pajara[6].

Oh!

> The 49/45 and 10/9 are
> seven fifths up and four octaves down--the apotome, 49/45 and 10/9
all
> being the same in pajara. The 9/8 and 8/7 of course are the same,
both
> two fifths up and an octave down. So in terms of generators, it
looks
> like [2,2,7,2,2,7], which adds up to 22 fifths. In 22-equal, it
would
> be 443443,

Ah. Well you can see on Manuel's list:

http://www.xs4all.nl/~huygensf/doc/modename.html

that I already gave its second mode a bland, technical name. Dave
Keenan shows it as a chord on his page:

http://www.uq.net.au/~zzdkeena/Music/ErlichDecChords.gif

and calls it "superaugmented subminor 7th 9th augmented 11th", which
is even worse.




Mon Mar 1, 2004 11:31 pm

paulerlich
Offline Offline
Send Email Send Email

Message #9886 of 20696 |
Expand Messages Author Sort by Date

Here are some 9-limit stepwise harmonizable scales, with the same bound on size of steps--8/7 is the largest. In order to keep the numbers down, I also...
Gene Ward Smith
genewardsmith Offline Send Email
Feb 29, 2004
7:51 pm

... wrote: On the other end of the size scale we have these. Paul, have you ever considered Pajara[6] as a possible melody scale? ... Dom7[7] ... Beatles[7] ...
Gene Ward Smith
genewardsmith Offline Send Email
Feb 29, 2004
8:32 pm

... It's six notes of pajara, but not Pajara[6]. The 49/45 and 10/9 are seven fifths up and four octaves down--the apotome, 49/45 and 10/9 all being the same...
Gene Ward Smith
genewardsmith Offline Send Email
Mar 1, 2004
4:11 am

... Oh! ... all ... both ... looks ... would ... Ah. Well you can see on Manuel's list: http://www.xs4all.nl/~huygensf/doc/modename.html that I already gave...
Paul Erlich
paulerlich Offline Send Email
Mar 1, 2004
11:31 pm

... Yow. I'll take 9-limit consonant whole-tone, thank you. Of course the other whole tone scale counts also....
Gene Ward Smith
genewardsmith Offline Send Email
Mar 2, 2004
12:05 am

... <gwsmith@s...> ... <gwsmith@s...> ... 10/9 ... same, ... which ... the ... It doesn't, because 4+4+4=12 is not a 9-limit consonance in 22-equal....
Paul Erlich
paulerlich Offline Send Email
Mar 2, 2004
12:32 am

... ever ... Seems awfully improper, but descending it resembles a famous Stravisky theme....
Paul Erlich
paulerlich Offline Send Email
Mar 1, 2004
11:23 pm

... What I should have asked was if you've tried 443443 as a melody scale in 22-et....
Gene Ward Smith
genewardsmith Offline Send Email
Mar 1, 2004
11:27 pm

... <gwsmith@s...> ... <gwsmith@s...> ... you ... scale ... Right; I thought you were talking about 2 2 7 2 2 7, but then you clarified. See...
Paul Erlich
paulerlich Offline Send Email
Mar 1, 2004
11:44 pm

... <gwsmith@s...> ... math/message/9886. Oh yeah, the answer is yes....
Paul Erlich
paulerlich Offline Send Email
Mar 1, 2004
11:48 pm

... ever ... I'm confused -- I thought the largest step was supposed to be less than 200 cents?...
Paul Erlich
paulerlich Offline Send Email
Mar 1, 2004
11:24 pm

... I moved it up to 8/7. Carl thinks I could go even higher....
Gene Ward Smith
genewardsmith Offline Send Email
Mar 1, 2004
11:28 pm

... with ... as ... motivation. ... I thought Diaschismic had no unique definition in the 7-limit....
Paul Erlich
paulerlich Offline Send Email
Mar 1, 2004
11:21 pm
Advanced

Copyright © 2010 Yahoo! Inc. All rights reserved.
Privacy Policy - Terms of Service - Guidelines NEW - Help