Fokker pentatonics, known and unknown

Below I list what the Scala scl database knows about the Fokker
pentatonics I computed. Two scales appeared as all three kinds of
blocks; tranh-prime_5 and its inverse. It surprises me that such an
evidently important pentatonic as tranh-inverse was not listed.

16/15 27/25
[1, 6/5, 4/3, 3/2, 5/3] harrison_min.scl
From Lou Harrison, a symmetrical pentatonic with minor thirds

[1, 6/5, 4/3, 3/2, 9/5] tranh.scl inverse equal key 0
[1, 6/5, 5/4, 3/2, 5/3] unknown
[1, 6/5, 4/3, 8/5, 5/3] unknown

[1, 6/5, 4/3, 8/5, 9/5] tranh.scl key 4, prime_5.scl key 2
Bac Dan Tranh scale, Vietnam
What Lou Harrison calls "the Prime Pentatonic", a widely used scale

16/15 81/80

[1, 9/8, 4/3, 3/2, 16/9] hexany16.scl, chin_5.scl key 3
1.3.9.27 Hexany, a degenerate pentatonic form
Chinese pentatonic from Zhou period

[1, 9/8, 4/3, 3/2, 9/5] korea_5.scl
According to Lou Harrison, called "the Delightful" in Korea

[1, 6/5, 4/3, 3/2, 9/5] same as first 16/15 27/25 scale, inverse tranh
[1, 6/5, 4/3, 8/5, 9/5] same as fifth 16/15 27/25 scale, tranh and
prime_5
[1, 9/8, 4/3, 3/2, 5/3] inverse korea_5, key 3

27/25 81/80

[1, 10/9, 4/3, 3/2, 9/5] unknown
[1, 10/9, 27/20, 3/2, 9/5] unknown, inverse of fifth scale below
[1, 6/5, 4/3, 3/2, 9/5] same as first 16/15 27/25 and second 16/15
81/80, inverse tranh
[1, 6/5, 4/3, 8/5, 9/5] same as fifth 16/15 27/25 and fourth 16/15
81/80, tranh&prime_5
[1, 10/9, 27/20, 3/2, 5/3] unknown, inverse of second scale above

Since you aren't being specific as to mode, are you checking is Scala
lists *modes* of these scales?

--- In tuning-math@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...>
wrote:
> Below I list what the Scala scl database knows about the Fokker
> pentatonics I computed. Two scales appeared as all three kinds of
> blocks; tranh-prime_5 and its inverse. It surprises me that such an
> evidently important pentatonic as tranh-inverse was not listed.
>
>
> 16/15 27/25
> [1, 6/5, 4/3, 3/2, 5/3] harrison_min.scl
> From Lou Harrison, a symmetrical pentatonic with minor thirds
>
> [1, 6/5, 4/3, 3/2, 9/5] tranh.scl inverse equal key 0
> [1, 6/5, 5/4, 3/2, 5/3] unknown
> [1, 6/5, 4/3, 8/5, 5/3] unknown
>
> [1, 6/5, 4/3, 8/5, 9/5] tranh.scl key 4, prime_5.scl key 2
> Bac Dan Tranh scale, Vietnam
> What Lou Harrison calls "the Prime Pentatonic", a widely used
scale
>
> 16/15 81/80
>
> [1, 9/8, 4/3, 3/2, 16/9] hexany16.scl, chin_5.scl key 3
> 1.3.9.27 Hexany, a degenerate pentatonic form
> Chinese pentatonic from Zhou period
>
> [1, 9/8, 4/3, 3/2, 9/5] korea_5.scl
> According to Lou Harrison, called "the Delightful" in Korea
>
> [1, 6/5, 4/3, 3/2, 9/5] same as first 16/15 27/25 scale, inverse
tranh
> [1, 6/5, 4/3, 8/5, 9/5] same as fifth 16/15 27/25 scale, tranh and
> prime_5
> [1, 9/8, 4/3, 3/2, 5/3] inverse korea_5, key 3
>
> 27/25 81/80
>
> [1, 10/9, 4/3, 3/2, 9/5] unknown
> [1, 10/9, 27/20, 3/2, 9/5] unknown, inverse of fifth scale below
> [1, 6/5, 4/3, 3/2, 9/5] same as first 16/15 27/25 and second 16/15
> 81/80, inverse tranh
> [1, 6/5, 4/3, 8/5, 9/5] same as fifth 16/15 27/25 and fourth 16/15
> 81/80, tranh&prime_5
> [1, 10/9, 27/20, 3/2, 5/3] unknown, inverse of second scale above

--- In tuning-math@yahoogroups.com, "Paul Erlich" <perlich@a...>
wrote:
> Since you aren't being specific as to mode, are you checking is
Scala
> lists *modes* of these scales?

Scala checks modes automatically.