Subsets of Blackjack from Scala archive

The Blackjack scale (21 note MOS generated by 7/72 octave) is an
approximate superset of an enormous number of known scales, even when the
error in any just interval is imited to 4.0c (3.0c for 7-limit), and the
difference in any pitch is limited to 7.1c.

Blackjack is an exact superset of:

mohajira.scl
xenakis_schrom.scl
arist_diatdor.scl
arist_diatred.scl

The above all have 7 notes.

Blackjack is an approximate superset of the following 7-limit rational
scales. No just interval is off by more than 3.0 c, no pitch is off by more
than 7.1c.

cluster6g.scl
cluster6h.scl
cross_7.scl
diaphonic_5.scl
div_fifth2.scl
efg3377.scl
efg357.scl
helmholtz.scl
hexany1.scl
hexany15.scl
hexany19.scl
kring2.scl
kring4.scl
pygmie.scl
serre_enh.scl
slendro_a1.scl
slendro_m.scl
slendro_s1.scl
slendro5_2.scl
al-farabi.scl
barbour_chrom3.scl

The above have between 5 and 9 notes.

They were found by looking for exact subsets of this 7-limit
rationalisation of Blackjack.

! temp.scl
!
7-lim JI blackjack

21
!
64/63
16/15
35/32
8/7
7/6
128/105
5/4
21/16
4/3
7/5
10/7
3/2
32/21
8/5
105/64
12/7
7/4
64/35
15/8
63/32
2/1

This by no means exhausts the list of approximate Blackjack subsets in the
Scala archive.

At my request Manuel has added to his Scala wish-list the desire to make
COMPARE sensitive to SET MAXDIFF. But in the meantime, we'll have to use
various tricks like that above, to find them.

Regards,
-- Dave Keenan
Brisbane, Australia
http://dkeenan.com

--- In tuning@y..., David C Keenan <D.KEENAN@U...> wrote:

/tuning/topicId_22431.html#22431

I'm really getting "excited" about playing blackjack now!

Maybe I will do as Kraig Grady suggests and only compose with this
scale for the rest of my life! (Perhaps a bit extreme...)

Anyway, I am a bit behind in the thoroughness of my study of this,
since I've been rebuilding my computer system after a hard drive
erasure.

That's going pretty well, but I have one question.

Unfortunately, I don't have much of a background in cards, so why is
this scale called "blackjack??"

Too bad Easley Blackwood's father isn't around any more!

_______ ______ _____
Joseph Pehrson

Here's a few more.

7-limit:
Max pitch diff 3.2c. Max error in just interval 3.0c.

harrison_mix4.scl

5-limit:
Max pitch diff 18c. Max error in just interval 3.0c.

exp2.scl
kayolonian_f.scl
kayolonian_p.scl
kayolonian_z.scl

-- Dave Keenan
Brisbane, Australia
http://dkeenan.com

--- In tuning@y..., jpehrson@r... wrote:.
>
> Unfortunately, I don't have much of a background in cards, so why
is
> this scale called "blackjack??"

Because I was very surprised that it turned out to have 21 notes.
>
> Too bad Easley Blackwood's father isn't around any more!
>
HA! For those who don't know, Easley Blackwood's father, also named
Easley, was a famous bridge player.