Topic: A new tuning?

1 scales

Thread (3 messages)

From: Aaron K. Johnson (2003-12-31)
Subject: A new tuning?

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'

From: Gene Ward Smith (2003-12-31)
Subject: Re: A new tuning?

--- In [email protected], "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."

From: monz (2003-12-31)
Subject: Re: A new tuning?

hi Gene and Aaron,


--- In [email protected], "Gene Ward Smith" <gwsmith@s...> wrote:

> --- In [email protected], "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