Full thread (6 messages)
From: Michael (2011-07-03)
Subject: Can anyone give me a Least Mean Square version of the following scale?
Can anyone give me a Least Mean Square version of the following scale?
"Addenda (Mike's 7-limit-dyad-focused scale)"
1
172.85564
434.12203
609.14048
701.955
876.741864
1093.7998186
Note: this tuning is designed to use a whole lot of 7-limit the the 7/6, 12/7...7/5 and 10/7. My Infinity tuning has that weak point...it's focused more around either meantone or Mohajira-type intervals with a little 7-limit...this scale is designed to have a lot of 7-limit and some meantone-type intervals with a few Mohajira-style ones.
The result is a scale that, hopefully, will sound very xenharmonic to a whole lot of people, but doesn't have many weird fifths (there are only two Mohajira-style 22/15 diminished fifths) or 9 and 11 limit
intervals...plus the only "non just/off" intervals include one near the 12TET major 7th and Minor 12TET minor 7th IE "wrong, but familiar" intervals. So it should hopefully sound oddly stable to a lot of people. Any general thoughts/impressions/ideas/suggestions for this scale?
From: genewardsmith (2011-07-03)
Subject: Re: Can anyone give me a Least Mean Square version of the following scale?
--- In tuning@yahoogroups.com, Michael <djtrancendance@...> wrote:
>
> Can anyone give me a Least Mean Square version of the following scale?
What tuning accuracy were you wanting? Below I use 10 cents.
! addendaopt.scl
Lesfip version of addenda, 10 cent error bars
7
!
177.33567
441.16575
616.47420
704.99583
882.33150
1091.30954
1200.00000
From: Michael (2011-07-03)
Subject: Re: [tuning] Re: Can anyone give me a Least Mean Square version of the following scale?
> Can anyone give me a Least Mean Square version of the following scale?
10 cents isn't bad, but 8.00 cents maximum would be nice if you can get it...
--- On Sat, 7/2/11, genewardsmith <genewardsmith@sbcglobal.net> wrote:
From: genewardsmith <genewardsmith@...>
Subject: [tuning] Re: Can anyone give me a Least Mean Square version of the following scale?
To: tuning@yahoogroups.com
Date: Saturday, July 2, 2011, 11:14 PM
--- In tuning@yahoogroups.com, Michael <djtrancendance@...> wrote:
>
> Can anyone give me a Least Mean Square version of the following scale?
What tuning accuracy were you wanting? Below I use 10 cents.
! addendaopt.scl
Lesfip version of addenda, 10 cent error bars
7
!
177.33567
441.16575
616.47420
704.99583
882.33150
1091.30954
1200.00000
From: Michael (2011-07-03)
Subject: Re: [tuning] Re: Can anyone give me a Least Mean Square version of the following scale?
Come to think of it, having a 14-cent max version would be interesting as well as an 8 cent max version...
There are two dyads that are a bit weird in the 10-cent lesfip scale...a diminished fifth near 16/11 (much harsher sounding than near 22/15) and a "major 4th" near 21/16 instead of 4/3. I'm wondering if a 14-cent lesfip or an 8-cent lesfip would/could fix either of those. Other than that...virtually everything looks great.
--- On Sun, 7/3/11, Michael <djtrancendance@yahoo.com> wrote:
From: Michael <djtrancendance@...>
Subject: Re: [tuning] Re: Can anyone give me a Least Mean Square version of the following scale?
To: tuning@yahoogroups.com
Date: Sunday, July 3, 2011, 9:37 AM
> Can anyone give me a Least Mean Square version of the following scale?
10 cents isn't bad, but 8.00 cents maximum would be nice if you can get it...
--- On Sat, 7/2/11, genewardsmith <genewardsmith@...> wrote:
From: genewardsmith <genewardsmith@...>
Subject: [tuning] Re: Can anyone give me a Least Mean Square version of the following scale?
To: tuning@yahoogroups.com
Date: Saturday, July 2, 2011, 11:14 PM
--- In tuning@yahoogroups.com, Michael <djtrancendance@...> wrote:
>
> Can anyone give me a Least Mean Square version of the following scale?
What tuning accuracy were you wanting? Below I use 10 cents.
! addendaopt.scl
Lesfip version of addenda, 10 cent error bars
7
!
177.33567
441.16575
616.47420
704.99583
882.33150
1091.30954
1200.00000
From: genewardsmith (2011-07-03)
Subject: Re: Can anyone give me a Least Mean Square version of the following scale?
--- In tuning@yahoogroups.com, Michael <djtrancendance@...> wrote:
>
> > Can anyone give me a Least Mean Square version of the following scale?
>
> Â Â 10 cents isn't bad, but 8.00 cents maximum would be nice if you can get it...
I think what I gave falls well within that bound. Ten cents is just the cutoff I used.
From: genewardsmith (2011-07-03)
Subject: Re: Can anyone give me a Least Mean Square version of the following scale?
--- In tuning@yahoogroups.com, Michael <djtrancendance@...> wrote:
>
> Â Â Come to think of it, having a 14-cent max version would be interesting as well as an 8 cent max version...Â
! addenda14.scl
Lesfip version of addenda, 14 cent error bars
7
!
176.13707
443.61470
613.10780
711.09234
879.60138
1107.15012
1200.00000
! addenda8.scl
Lesfip version of addenda, 8 cent error bars
7
!
177.33567
441.16575
616.47420
704.99583
882.33150
1091.30954
1200.00000