Mailing list post
From: Gene Ward Smith (2005-05-28)
Subject: A subminor/supermajor flavored scale
I got this from a Fokker block for 49/48~50/49 and 81/80, assuming
2401/2400 equivalence. It can be described as the notes
(49/40)^i, -3<=i<=3, (49/40)^i*(10/7), -3<=i<=-1, and (49/40)^i*(7/5),
0<=i<=3, reduced by octaves and 2401/2400. While far from free of 5s,
it has no major thirds and only one minor third, but seven each of
subminor and supermajor thirds, five each of which go with triads. It
is a well-behaved scale by the usual measures (CS, epimorphic,
strictly proper), but nonetheless gets you well away from 5-limit
tunings. In case anyone wants to try it, here it is:
! breed14.scl
a 49/48 and 81/80 Fokker block in breed plane
14
!
21/20
49/45
7/6
49/40
9/7
4/3
7/5
3/2
14/9
49/30
12/7
90/49
40/21
2
Full thread (5 messages)
From: Gene Ward Smith (2005-05-28)
Subject: A subminor/supermajor flavored scale
I got this from a Fokker block for 49/48~50/49 and 81/80, assuming
2401/2400 equivalence. It can be described as the notes
(49/40)^i, -3<=i<=3, (49/40)^i*(10/7), -3<=i<=-1, and (49/40)^i*(7/5),
0<=i<=3, reduced by octaves and 2401/2400. While far from free of 5s,
it has no major thirds and only one minor third, but seven each of
subminor and supermajor thirds, five each of which go with triads. It
is a well-behaved scale by the usual measures (CS, epimorphic,
strictly proper), but nonetheless gets you well away from 5-limit
tunings. In case anyone wants to try it, here it is:
! breed14.scl
a 49/48 and 81/80 Fokker block in breed plane
14
!
21/20
49/45
7/6
49/40
9/7
4/3
7/5
3/2
14/9
49/30
12/7
90/49
40/21
2
From: Mikal De Valia (2005-05-28)
Subject: RE: [tuning] A subminor/supermajor flavored scale
what is this string theory?
i am just kidding. i am a newcomer to this ghroup and to theaory being an ear player of thirteen+ years. but hey -- seeing your heading made me pleased -- as i am working on a 'superlocrian' -- i am sure there already is one and i am patching itt together out of intuition, snatches of conversation from the local'big kids' and well thanks. string theory. gimme a rimshot huh?
[email protected]
--- On Sat 05/28, Gene Ward Smith < [email protected] > wrote:
From: Gene Ward Smith [mailto: [email protected]]
To: [email protected]
Date: Sat, 28 May 2005 06:58:29 -0000
Subject: [tuning] A subminor/supermajor flavored scale
I got this from a Fokker block for 49/48~50/49 and 81/80, assuming
2401/2400 equivalence. It can be described as the notes
(49/40)^i, -3<=i<=3, (49/40)^i*(10/7), -3<=i<=-1, and (49/40)^i*(7/5),
0<=i<=3, reduced by octaves and 2401/2400. While far from free of 5s,
it has no major thirds and only one minor third, but seven each of
subminor and supermajor thirds, five each of which go with triads. It
is a well-behaved scale by the usual measures (CS, epimorphic,
strictly proper), but nonetheless gets you well away from 5-limit
tunings. In case anyone wants to try it, here it is:
! breed14.scl
a 49/48 and 81/80 Fokker block in breed plane
14
!
21/20
49/45
7/6
49/40
9/7
4/3
7/5
3/2
14/9
49/30
12/7
90/49
40/21
2
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From: Gene Ward Smith (2005-05-28)
Subject: Re: A subminor/supermajor flavored scale
--- In [email protected], "Mikal De Valia" wrote:
> what is this string theory?
I dunno. I'm avoid the string theory, for fear it will mutuate into
superstring theory. I did wonder, reading this stuff, what effect the
density of the string material has. Clearly a steel string is denser
than a nylon string. Now, would a titanium alloy string sound more
like steel, or more like nylon?
> i am just kidding. i am a newcomer to this ghroup and to theaory
being an ear player of thirteen+ years. but hey -- seeing your
heading made me pleased -- as i am working on a 'superlocrian' -- i am
sure there already is one and i am patching itt together out of
intuition, snatches of conversation from the local'big kids' and well
thanks. string theory. gimme a rimshot huh?
rimshot
I guess at 14 notes to the octave instead of 7, it has to be a
superduperlocrian. I usually mention scale ideas on tuning-math, but
when something unsual or interesting turns up that I think might be of
more general interest, I sometimes put it here. While Fokker blocks
are easy to concoct, they're no longer easy or common if you want them
to do what I did with this one, and I thought the result was both
unsual *and* interesting.
From: Gene Ward Smith (2005-05-29)
Subject: Re: A subminor/supermajor flavored scale
--- In [email protected], "Gene Ward Smith" <gwsmith@s...>
wrote:
Fooling around with Tonescape, I saw this works better in this form:
! breed14.scl
a 49/48 and 81/80 Fokker block in breed plane
14
!
21/20
49/45
7/6
49/40
9/7
4/3
7/5
3/2
14/9
49/30
12/7
147/80
343/180
2
It looks uglier but is all connected by strict 7-limit JI.
From: banaphshu (2005-05-31)
Subject: Re: A subminor/supermajor flavored scale
-I have a 14 tone scale that was included in L0u Harrison's Primer
that is a good 7 limit 14 tone scale
1/1
21/20
9/8
7/6
5/4
21/16
4/3
7/5
3/2
63/40
27/16
7/4
15/8
63/32
-- In [email protected], "Gene Ward Smith" <gwsmith@s...> wrote:
> --- In [email protected], "Gene Ward Smith" <gwsmith@s...>
> wrote:
>
> Fooling around with Tonescape, I saw this works better in this form:
>
> ! breed14.scl
> a 49/48 and 81/80 Fokker block in breed plane
> 14
> !
> 21/20
> 49/45
> 7/6
> 49/40
> 9/7
> 4/3
> 7/5
> 3/2
> 14/9
> 49/30
> 12/7
> 147/80
> 343/180
> 2
>
> It looks uglier but is all connected by strict 7-limit JI.