aaron

Aaron Johnson scale

Properties

Notes12
Period1200.0 ¢
Just19-limit
Source Mailing lists
Referencehttps://yahootuninggroupsultimatebackup.github.io/tuning/topicId_50719.html#50722
Thread1 scale
Tone Tone (¢) Step Step (¢)
16/15 112 16/15 112
17/15 217 17/16 105
6/5 316 18/17 99
19/15 409 19/18 94
4/3 498 20/19 89
17/12 603 17/16 105
3/2 702 18/17 99
8/5 814 16/15 112
17/10 919 17/16 105
9/5 1018 18/17 99
19/10 1111 19/18 94
2/1 1200 20/19 89

Similar scales

FileNotesRotationMax diff (¢)
AlexMalcom1721 12 4 0.0
StanhopeMonochord 12 11 9.5
sc3_17_4 12 11 10.2
septenarius_tuning_69724_69750 12 1 11.1
brac 12 11 11.3
asbru 12 6 11.6
xen18-erlich-garibaldi-12 12 1 12.2
well270c 12 4 12.2
well270d 12 4 12.2
whelp2 12 11 12.3

Parent scales

FileNotesMax diff (¢)
fifaug 15 13.7
pyth_17 17 12.8
uruk 17 14.5
xen18-erlich-srutal-22 22 11.9
xen18-erlich-passion-13 13 20.4
indiang 22 12.4
indianred 22 12.8
xen02-wilson-indic 22 12.8
xen18-erlich-august-21 21 13.7
xen18-erlich-catler-24 24 11.9

Child scales

FileNotesMax diff (¢)
xen03-wilson-negative-07 7 0.0
xen09-wilson-marwa-04-09 7 0.0
xen12-chalmers-tritriadic-dm-5-3-1 7 0.0
xen15-gilson-ptolemy-diatonic-syntonon 7 0.0
xen03-wilson-negative-05 5 0.0
xen10-wilson-purvi-09c-03 7 3.4
xen10-wilson-purvi-09c-04 7 3.4
xen09-wilson-marwa-06-02 7 6.8
xen10-wilson-purvi-02a-02 7 6.8
xen10-wilson-purvi-02b-02 7 6.8
Mailing list post
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."
Full 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

Raw file

! 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
!
! https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_50719.html#50722
!
! [info]
! source = Mailing lists
! file = tuning/messages/yahoo_tuning_messages_api_raw_50001-52481.json
! topic_id = 50719
! msg_id = 50722