Can somebody please explain to me what the Blackjack scale is?
Gear:
-Brownsville BMAG3 (acoustic)
-Fender 70s Reissue 60th anniversary Stratocaster
-Line 6 Flextone III
-Crate RFX30 RetroFex
-Line 6 Tone Port UX1
-Roland Digital Piano HP-4500
-(other stuff)
...anybody...
Gear:
-Brownsville BMAG3 (acoustic)
-Fender 70s Reissue 60th anniversary Stratocaster
-Line 6 Flextone III
-Crate RFX30 RetroFex
-Line 6 Tone Port UX1
-Roland Digital Piano HP-4500
-(other stuff)
it looks like no one, including me, has any idea whatsoever as to what you are are talking about...

EDIT: I lied
hmmmm...
Last edited by fenderfrk10 at Mar 17, 2007,
The Blackjack scale
Blackjack is a 21-note tuning created by Paul Erlich based on the so-called MIRACLE generator, from a 31-note tuning created by Dave Keenan. The MIRACLE tuning is a recent rediscovery of a tuning created by George Secor in 1975. It can be represented (as it is here) as a subset of 72-TET, taking every seventh note. The resulting scale (in degrees of 72-TET) is 0-2-7-9-14-16-21-23-28-30-35-37-42-44-49-51-56-58-63-65-70-72. A representation of this scale in one ASCII version of 72-TET notation is C C> Db^ D[ D> D#< E[ Ev F< F F#v F#^ G G> Ab^ A[ A> A#< B[ C< C. In Graham Breed's decimal notation, this scale is represented more neatly as 0 0> 1 1> 2 2> 3 3> 4 4> 5 5> 6 6> 7 7> 8 8> 9 9> 0< 0. The Blackjack harmonies are represented here in decimal notation.
Although Blackjack doesn't have enough fifths in a row for a traditional diatonic scale, it is rich in other harmonic structures. For the Blackjack retunings, I've tried a number of different ways to remap the harmony of the canon in a way that fits into the Blackjack lattice. Two of these tunings exploit the 7-limit harmonies that Blackjack is known for; there is an otonal version based on the harmonic series, approximating 4:5:7, and a utonal version approximating 1/(7:5:4). There is also a strange beating version, based on a discordant 1/1 : 11/9 : 32/21 triad, and a version that shows off the very small steps available in the Blackjack tuning, based on a 7:8:10 triad. The structure of the remapped scales works like this:

otonal utonal beating microstep
5> 3> 1> 7 5 3 7 3 9> 7 2 7>
2 0 8> 6> 2 0 8> 6> 4 0 6> 2> 5 0 5> 0>

original otonal utonal beating microstep
D 0 0 0 0
E 6> 6> 2> 0>
F# 3> 5 3 2
G 2 2 4 5
A 8> 8> 6> 5>
B 5> 7 7 7
C# 1> 3 9> 7>

Notice what this does to the melody!
Original: F# E D C# B A B C# | D C# B A G F# G E
otonal 3> 6> 0 1> 5> 8> 5> 1> | 0 1> 5> 8> 2 3> 2 6>
utonal 5 6> 0 3 7 8> 7 3 | 0 3 7 8> 2 5 2 6>
beating 3 2> 0 9> 7 6> 7 9> | 0 9> 7 6> 4 3 4 2>
microstep 2 0> 0 7> 7 5> 7 7> | 0 7> 7 5> 5 2 5 0>

FOUND that stuff on some site
::dies::
What sort of instrument do you use to play this, and any songs that use this?
O.S.I.

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