Mailing list post
From: genewardsmith (2010-09-27)
Subject: Jubilismic and Archytas temperaments
While most rank three temperaments are planar, there are exceptions, with jubilismic, tempering out 50/49, being one of them. As an example to show that hobbits are defined for non-planar temperaments also, I give Jubilismic[10] below, and by way of comparison, or something, also Archytas[12], tempering out 64/63. All scales are strictly proper.
! jubilismic10.scl
Jubilismic[10] (50/49) hobbit minimax tuning
10
!
101.95500
222.43019
377.56981
498.04500
600.00000
701.95500
822.43019
977.56981
1098.04500
1200.00000
!
! ! prejubilismic10.scl
! Jubilismic[10] transversal
! 10
! !
! 15/14
! 8/7
! 5/4
! 4/3
! 7/5
! 3/2
! 8/5
! 7/4
! 28/15
! 2/1
! archytas12.scl
Archytas[12] (64/63) hobbit, 9-limit minimax
12
!
98.09924
217.54205
315.64129
393.12974
491.22898
589.32822
708.77102
806.87026
884.35871
982.45795
1101.90076
1200.00000
!
! ! prearchytas12.scl
! Archytas[12] transversal
! 12
! !
! 16/15
! 9/8
! 6/5
! 5/4
! 4/3
! 64/45
! 3/2
! 8/5
! 5/3
! 16/9
! 15/8
! 2
Full thread (4 messages)
From: genewardsmith (2010-09-27)
Subject: Jubilismic and Archytas temperaments
While most rank three temperaments are planar, there are exceptions, with jubilismic, tempering out 50/49, being one of them. As an example to show that hobbits are defined for non-planar temperaments also, I give Jubilismic[10] below, and by way of comparison, or something, also Archytas[12], tempering out 64/63. All scales are strictly proper.
! jubilismic10.scl
Jubilismic[10] (50/49) hobbit minimax tuning
10
!
101.95500
222.43019
377.56981
498.04500
600.00000
701.95500
822.43019
977.56981
1098.04500
1200.00000
!
! ! prejubilismic10.scl
! Jubilismic[10] transversal
! 10
! !
! 15/14
! 8/7
! 5/4
! 4/3
! 7/5
! 3/2
! 8/5
! 7/4
! 28/15
! 2/1
! archytas12.scl
Archytas[12] (64/63) hobbit, 9-limit minimax
12
!
98.09924
217.54205
315.64129
393.12974
491.22898
589.32822
708.77102
806.87026
884.35871
982.45795
1101.90076
1200.00000
!
! ! prearchytas12.scl
! Archytas[12] transversal
! 12
! !
! 16/15
! 9/8
! 6/5
! 5/4
! 4/3
! 64/45
! 3/2
! 8/5
! 5/3
! 16/9
! 15/8
! 2
From: Chris Vaisvil (2010-09-28)
Subject: Re: [tuning] Jubilismic and Archytas temperaments
added: http://micro.soonlabel.com/hobbit_scales/
On Mon, Sep 27, 2010 at 5:59 PM, genewardsmith
<genewardsmith@...>wrote:
>
>
> While most rank three temperaments are planar, there are exceptions, with
> jubilismic, tempering out 50/49, being one of them. As an example to show
> that hobbits are defined for non-planar temperaments also, I give
> Jubilismic[10] below, and by way of comparison, or something, also
> Archytas[12], tempering out 64/63. All scales are strictly proper.
>
> ! jubilismic10.scl
> Jubilismic[10] (50/49) hobbit minimax tuning
> 10
> !
> 101.95500
> 222.43019
> 377.56981
> 498.04500
> 600.00000
> 701.95500
> 822.43019
> 977.56981
> 1098.04500
> 1200.00000
> !
> ! ! prejubilismic10.scl
> ! Jubilismic[10] transversal
> ! 10
> ! !
> ! 15/14
> ! 8/7
> ! 5/4
> ! 4/3
> ! 7/5
> ! 3/2
> ! 8/5
> ! 7/4
> ! 28/15
> ! 2/1
>
> ! archytas12.scl
> Archytas[12] (64/63) hobbit, 9-limit minimax
> 12
> !
> 98.09924
> 217.54205
> 315.64129
> 393.12974
> 491.22898
> 589.32822
> 708.77102
> 806.87026
> 884.35871
> 982.45795
> 1101.90076
> 1200.00000
> !
> ! ! prearchytas12.scl
> ! Archytas[12] transversal
> ! 12
> ! !
> ! 16/15
> ! 9/8
> ! 6/5
> ! 5/4
> ! 4/3
> ! 64/45
> ! 3/2
> ! 8/5
> ! 5/3
> ! 16/9
> ! 15/8
> ! 2
>
>
>
From: genewardsmith (2010-09-28)
Subject: Re: Jubilismic and Archytas temperaments
--- In [email protected], Chris Vaisvil <chrisvaisvil@...> wrote:
>
> added: http://micro.soonlabel.com/hobbit_scales/
Thanks! Do you think any of these scales look particularly promising?
From: Chris Vaisvil (2010-09-28)
Subject: Re: [tuning] Re: Jubilismic and Archytas temperaments
I am not advanced enough to much know by looks. However, I will try to play
in them when I can. There has been a lot going on in my family recently. I
may have some time today.
Chris
On Mon, Sep 27, 2010 at 10:59 PM, genewardsmith <genewardsmith@...
> wrote:
>
>
>
>
> --- In [email protected] <tuning%40yahoogroups.com>, Chris Vaisvil
> <chrisvaisvil@...> wrote:
> >
> > added: http://micro.soonlabel.com/hobbit_scales/
>
> Thanks! Do you think any of these scales look particularly promising?
>
>
>