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A new tuning?

🔗Aaron K. Johnson <akjmicro@comcast.net>

12/31/2003 11:01:06 AM

Hey,

Has anyone had any experience with using and or studying this tuning below?
Is it new...is it documented anywhere?

I derived it as an analogue to Margo Schulter's 17-note scale from her current
JI-network article "JOT 17: A just thirdtone system for neomedieval music".

0: 1/1 0.000 unison, perfect prime
1: 16/15 111.731 minor diatonic semitone
2: 17/15 216.687
3: 6/5 315.641 minor third
4: 19/15 409.244 undevicesimal ditone
5: 4/3 498.045 perfect fourth
6: 17/12 603.000 2nd septendecimal tritone
7: 3/2 701.955 perfect fifth
8: 8/5 813.686 minor sixth
9: 17/10 918.642 septendecimal diminished seventh
10: 9/5 1017.596 just minor seventh, BP seventh
11: 19/10 1111.199 undevicesimal major seventh
12: 2/1 1200.000 octave

--
OCEAN, n. A body of water occupying about two-thirds of a world made
for man -- who has no gills. -Ambrose Bierce 'The Devils Dictionary'

🔗Gene Ward Smith <gwsmith@svpal.org>

12/31/2003 11:35:10 AM

--- In tuning@yahoogroups.com, "Aaron K. Johnson" <akjmicro@c...>
wrote:
>
> Hey,
>
> Has anyone had any experience with using and or studying this
tuning below?
> Is it new...is it documented anywhere?

It seems it is known.

I edited it into a Scala scl file as follows:

! aaron.scl
Aaron Johnson scale
12
!
16/15 ! 111.731 minor diatonic
17/15 ! 216.687
6/5 ! 315.641 minor third
19/15 ! 409.244 undevicesimal ditone
4/3 ! 498.045 perfect fourth
17/12 ! 603.000 2nd septendecimal tritone
3/2 ! 701.955 perfect fifth
8/5 ! 813.686 minor sixth
17/10 ! 918.642 septendecimal diminished seventh
9/5 ! 1017.596 just minor seventh, BP seventh
19/10 ! 1111.199 undevicesimal major seventh
2/1 ! 1200.000 octave

Scala then told me it is the inversion of "Sylvestro Ganassi's
temperament (1543)", ganassi.scl, and is a mode of something called
malcolm2.scl, no further information, and also super_12.scl, claimed
to be "Most equal superparticular 12-tone
scale."

🔗monz <monz@attglobal.net>

12/31/2003 12:58:11 PM

hi Gene and Aaron,

--- In tuning@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...> wrote:

> --- In tuning@yahoogroups.com, "Aaron K. Johnson" <akjmicro@c...>
> wrote:
> >
> > Hey,
> >
> > Has anyone had any experience with using and or
> > studying this tuning below?
> > Is it new...is it documented anywhere?
>
> It seems it is known.
>
> I edited it into a Scala scl file as follows:
>
> ! aaron.scl
> Aaron Johnson scale
> 12
> !
> 16/15 ! 111.731 minor diatonic
> 17/15 ! 216.687
> 6/5 ! 315.641 minor third
> 19/15 ! 409.244 undevicesimal ditone
> 4/3 ! 498.045 perfect fourth
> 17/12 ! 603.000 2nd septendecimal tritone
> 3/2 ! 701.955 perfect fifth
> 8/5 ! 813.686 minor sixth
> 17/10 ! 918.642 septendecimal diminished seventh
> 9/5 ! 1017.596 just minor seventh, BP seventh
> 19/10 ! 1111.199 undevicesimal major seventh
> 2/1 ! 1200.000 octave
>
> Scala then told me it is the inversion of "Sylvestro
> Ganassi's temperament (1543)", ganassi.scl, and is a
> mode of something called malcolm2.scl, no further
> information, and also super_12.scl, claimed to be
> "Most equal superparticular 12-tone scale."

i have a detailed webpage about Ganassi's tuning:

http://tonalsoft.com/monzo/ganassi/ganassi.htm

-monz