Topic: Can anyone give me a Least Mean Square version of the following scale?

2 scales

File Description Notes Period (¢)
addenda14 Lesfip version of addenda, 14 cent error bars 7 1200.0
addendaopt Lesfip version of addenda, 10 cent error bars 7 1200.0

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 [email protected], 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 <[email protected]> wrote:

From: genewardsmith <genewardsmith@...>
Subject: [tuning] Re: Can anyone give me a Least Mean Square version of the following scale?
To: [email protected]
Date: Saturday, July 2, 2011, 11:14 PM















 
 



  


    
      
      
      



--- In [email protected], 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 <[email protected]> wrote:

From: Michael <djtrancendance@...>
Subject: Re: [tuning] Re: Can anyone give me a Least Mean Square version of the following scale?
To: [email protected]
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: [email protected]
Date: Saturday, July 2, 2011, 11:14 PM















 
 



    
      
      
      



--- In [email protected], 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 [email protected], Michael <djtrancendance@...> wrote:
>
> > 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...

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 [email protected], Michael <djtrancendance@...> wrote:
>
>    Come to think of it, having a 14-cent max version would be interesting as well as an 8 cent max version...  

! 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