four 'new' scales

Though one of them (at least) is new like Corn Flakes. Still,
it's a good time to "try them again for the first time".

Over on tuning-math, Gene is conducting a search of 12-tone,
5-limit pure JI scales that meet certain conditions for merit.
He's not done yet but we can play with these in the meantime.
Note Aaron Johnson.

Note also Kurt -- you said you had 25/16 in one of your scales...
Well, syndie.scl is a good way to have that.

-Carl

! syndie.scl
!
81/80 and 128/125 Fokker block, Gene Ward Smith.
12
!
25/24
9/8
6/5
5/4
4/3
45/32
3/2
25/16
5/3
9/5
15/8
2/1
!
! Also: Marpurg's Monochord No. 1 (1776).
!
! 6 major and 6 minor triads, strictly proper.
!
! 25/24---25/16
! / \ / \
! / \ / \
! / \ / \
! 5/3-----5/4----15/8----45/32
! / \ / \ / \ /
! / \ / \ / \ /
! / \ / \ / \ /
! 4/3-----1/1-----3/2-----9/8
! \ / \ /
! \ / \ /
! \ / \ /
! 6/5-----9/5

///

! syndia4.scl
!
81/80 and 2048/2025 Fokker block, Gene Ward Smith.
12
!
135/128
9/8
6/5
5/4
4/3
45/32
3/2
8/5
27/16
16/9
15/8
2/1
!
! 4 major and 5 minor triads, strictly proper.
!
! 5/4----15/8----45/32--135/128
! / \ / \ / \ /
! / \ / \ / \ /
! / \ / \ / \ /
! 16/9-----4/3-----1/1-----3/2-----9/8----27/16
! \ / \ /
! \ / \ /
! \ / \ /
! 8/5-----6/5

///

! thirds.scl
!
Major and minor 3rds paralleogram.
12
!
25/24
10/9
6/5
5/4
4/3
25/18
3/2
8/5
5/3
125/72
48/25
2/1
!
! 6 major and 6 minor triads. Not proper, but good stability.
!
!
! 125/72
! / \
! / \
! / \
! 25/18---25/24
! / \ / \
! / \ / \
! / \ / \
! 10/9-----5/3-----5/4
! \ / \ / \
! \ / \ / \
! \ / \ / \
! 4/3-----1/1-----3/2
! \ / \ /
! \ / \ /
! \ / \ /
! 8/5-----6/5
! \ /
! \ /
! \ /
! 48/25

///

! majsyn3.scl
!
648/625 and 81/80 Fokker block, Gene Ward Smith.
12
!
25/24
9/8
6/5
5/4
27/20
25/18
3/2
25/16
5/3
9/5
15/8
2/1
!
! 6 major and 6 minor triads, strictly proper.
!
! 25/18---25/24---25/16
! \ / \ / \
! \ / \ / \
! \ / \ / \
! 5/3-----5/4----15/8
! \ / \ / \
! \ / \ / \
! \ / \ / \
! 1/1-----3/2-----9/8
! \ / \ / \
! \ / \ / \
! \ / \ / \
! 6/5-----9/5----27/20

///

--- In tuning@yahoogroups.com, Carl Lumma <ekin@l...> wrote:
> Though one of them (at least) is new like Corn Flakes. Still,
> it's a good time to "try them again for the first time".
>
> Over on tuning-math, Gene is conducting a search of 12-tone,
> 5-limit pure JI scales that meet certain conditions for merit.
> He's not done yet but we can play with these in the meantime.

Why did you choose these four to post here?

>> Over on tuning-math, Gene is conducting a search of 12-tone,
>> 5-limit pure JI scales that meet certain conditions for merit.
>> He's not done yet but we can play with these in the meantime.
>
>Why did you choose these four to post here?

No reason.

-Carl