more tetrachordality results

I've rev'd my tetraindex function a bit. It does this:

Returns the minimum mean deviation (in cents, and as
a percentage of the smallest interval in the scale),
of the pitches in any order, of a pitch set
representing the given scale, and its transposition
at 702 cents, for all modes of the given scale.

Thus:

(tetraindex3 12 ls 'any)

Pentatonic Scale
(0 2 5 7 9) -> ((21 $) (10 %))

Diatonic Scale
(0 2 4 5 7 9 11) -> ((16 $) (16 %))

Diminished chord
(0 3 6 9) -> ((102 $) (34 %))

Wholetone scale
(0 2 4 6 8 10) -> ((102 $) (51 %))

Diminished scale
(0 2 3 5 6 8 9 11) -> ((50 $) (50 %))

Minor scales w/'gypsy' tetrachord
(0 1 4 5 7 8 11) -> ((44 $) (44 %))
(0 1 4 5 7 8 10) -> ((44 $) (44 %))
(0 1 4 5 7 9 10) -> ((44 $) (44 %))

And here are the three connectivity=2 pentatonics
from Gene's recent post, in 34-tET:

(tetraindex3 34 ls 'any)

1--6/5--4/3--3/2--5/3
[6/5, 10/9, 9/8, 10/9, 6/5]

(0 9 14 20 25) -> ((73 $) (41 %))

1--5/4--4/3--3/2--8/5
[5/4, 16/15, 9/8, 16/15, 5/4]

(0 11 14 20 23) -> ((129 $) (122 %))

1--6/5--5/4--3/2--5/3
[6/5, 25/24, 6/5, 10/9, 6/5]

(0 9 11 20 25) -> ((73 $) (103 %))

And one of the connectivity=1 scales:

1--25/24--5/4--3/2--9/5
[25/24, 6/5, 6/5, 6/5, 10/9]

(0 2 11 20 29) -> ((128 $) (181 %))

-Carl

I wrote...

> Returns the minimum mean deviation (in cents, and as
> a percentage of the smallest interval in the scale),
> of the pitches in any order, of a pitch set
> representing the given scale, and its transposition
> at 702 cents, for all modes of the given scale.

I found the bug that was given different results for
different modes (should have known that couldn't be
right). Fortunately, I was taking the minimum across
modes, and the bug inflates the score, and at least
one mode usually comes out right. Therefore, most of
the results I posted were right.

Posted:

> Wholetone scale
> (0 2 4 6 8 10) -> ((102 $) (51 %))

Should be:

Wholetone scale
(0 2 4 6 8 10) -> ((98 $) (49 %))

Correct as posted:

> Pentatonic Scale
> (0 2 5 7 9) -> ((21 $) (10 %))
> Diatonic Scale
> (0 2 4 5 7 9 11) -> ((16 $) (16 %))
> Diminished chord
> (0 3 6 9) -> ((102 $) (34 %))
> Diminished scale
> (0 2 3 5 6 8 9 11) -> ((50 $) (50 %))
> Minor scales w/'gypsy' tetrachord
> (0 1 4 5 7 8 11) -> ((44 $) (44 %))
> (0 1 4 5 7 8 10) -> ((44 $) (44 %))
> (0 1 4 5 7 9 10) -> ((44 $) (44 %))

Posted:

> 1--6/5--5/4--3/2--5/3
> [6/5, 25/24, 6/5, 10/9, 6/5]
> (0 9 11 20 25) -> ((73 $) (103 %))
>
> 1--25/24--5/4--3/2--9/5
> [25/24, 6/5, 6/5, 6/5, 10/9]
> (0 2 11 20 29) -> ((128 $) (181 %))

Should be:

1--6/5--5/4--3/2--5/3
[6/5, 25/24, 6/5, 10/9, 6/5]
(0 9 11 20 25) -> ((73 $) (104 %))

1--25/24--5/4--3/2--9/5
[25/24, 6/5, 6/5, 6/5, 10/9]
(0 2 11 20 29) -> ((128 $) (180 %))

Correct as posted:

> 1--6/5--4/3--3/2--5/3
> [6/5, 10/9, 9/8, 10/9, 6/5]
> (0 9 14 20 25) -> ((73 $) (41 %))
>
> 1--5/4--4/3--3/2--8/5
> [5/4, 16/15, 9/8, 16/15, 5/4]
> (0 11 14 20 23) -> ((129 $) (122 %))

-Carl