This is Paul Erlich's Blackjack tetrad list converted to the standard CGDA-centered notation and arranged so the middle-C pitch (261.6 Hz) is mapped to the middle C key. Legend for 72-tET notation: A,B,C,D,E,F,G,b,# as in 12-tET ] = 1/4 tone up > = 1/6 tone up ^ = 1/12 tone up v = 1/12 tone down < = 1/6 tone down [ = 1/4 tone down Blackjack scale in 72-tET notation and keyboard notation 72-tET notation keyboard notation lower middle upper Bb^ G#3 F5 B[ C2 A3 F#5 Bv C#2 A#3 G5 C< D2 B3 G#5 C D#2 C4 A5 C#v E2 C#4 A#5 Db^ F2 D4 B5 D F#2 D#4 C6 D> G2 E4 C#6 Eb^ G#2 F4 D6 E[ A2 F#4 D#6 E> A#2 G4 E6 F< B2 G#4 F6 F] C3 A4 F#6 F#v C#3 A#4 G6 G< D3 B4 G#6 G D#3 C5 A6 G#v E3 C#5 A#6 Ab^ F3 D5 B6 A F#3 D#5 C7 A> G3 E5 Keyboard Pattern: P5-P4-P4 (inversions include P4-P4-M3, P4-M3-P5, M3-P5-P4) keyboard notation 72-tET notation quality E3 B3 E4 A4 G#v C< D> F] dissonant F3 C4 F4 A#4 Ab^ Db^ Eb^ F#v 4:5:6:7 F#3 C#4 F#4 B4 A C#v E[ G< dissonant G3 D4 G4 C5 A> Db^ E> G 4:5:6:7 G#3 D#4 G#4 C#5 Bb^ D F< G#v dissonant A3 E4 A4 D5 B[ D> F] Ab^ 4:5:6:7 A#3 F4 A#4 D#5 Bv Eb^ F#v A 1/(9:7:6:5) B3 F#4 B4 E5 C< E[ G< A> 4:5:6:7 C4 G4 C5 F5 C E> G Bb^ 1/(9:7:6:5) C#4 G#4 C#5 F#5 C#v F< G#v B[ 4:5:6:7 D4 A4 D5 G5 Db^ F] Ab^ Bv dissonant D#4 A#4 D#5 G#5 D F#v A C< 4:5:6:7 E4 B4 E5 A5 D> G< A> C dissonant F4 C5 F5 A#5 Eb^ G Bb^ C#v 4:5:6:7 F#4 C#5 F#5 B5 E[ G#v B[ Db^ dissonant G4 D5 G5 C6 E> Ab^ Bv D dissonant G#4 D#5 G#5 C#6 F< A C< D> dissonant A4 E5 A5 D6 F] A> C Eb^ dissonant A#4 F5 A#5 D#6 F#v Bb^ C#v E[ dissonant B4 F#5 B5 E6 G< B[ Db^ E> dissonant C5 G5 C6 F6 G Bv D F< 4:5:6:7 Keyboard Pattern: P4-P5-P4 (inversions include P5-P4-M3, P4-M3-P4, M3-P5-P4) keyboard notation 72-tET notation quality E3 A3 E4 A4 G#v B[ D> F] dissonant F3 A#3 F4 A#4 Ab^ Bv Eb^ F#v 2:7/3:3:7/2 F#3 B3 F#4 B4 A C< E[ G< dissonant G3 C3 G4 C5 A> C E> G 2:7/3:3:7/2 G#3 C#4 G#4 C#5 Bb^ C#v F< G#v dissonant A3 D4 A4 D5 B[ Db^ F] Ab^ 2:7/3:3:7/2 A#3 D#4 A#4 D#5 Bv D F#v A 1/3:2/5:1/2:3/5 B3 E4 B4 E5 C< D> G< A> 2:7/3:3:7/2 C4 F4 C5 F5 C Eb^ G Bb^ 1/3:2/5:1/2:3/5 C#4 F#4 C#5 F#5 C#v E[ G#v B[ 2:7/3:3:7/2 D4 G4 D5 G5 Db^ E> Ab^ Bv dissonant D#4 F#4 D#5 G#5 D F< A C< 2:7/3:3:7/2 E4 A4 E5 A5 D> F] A> C dissonant F4 A#4 F5 A#5 Eb^ F#v Bb^ C#v 2:7/3:3:7/2 F#4 B4 F#5 B5 E[ G< B[ Db^ dissonant G4 C5 G5 C6 E> G Bv D dissonant G#4 C#5 G#5 C#6 F< G#v C< D> dissonant A4 D5 A5 D6 F] Ab^ C Eb^ dissonant A#4 D#5 A#5 D#6 F#v A C#v E[ dissonant B4 E5 B5 E6 G< A> Db^ E> dissonant C5 F5 C6 F6 G Bb^ D F< dissonant Keyboard Pattern: P4-P4-P5 (inversions include P4-P5-M3, P5-M3-P4, M3-P4-P4) keyboard notation 72-tET notation quality E3 A3 D4 A4 G#v B[ Db^ F] dissonant F3 A#3 D#4 A#4 Ab^ Bv D F#v 1/(7:6:5:4) F#3 B3 E4 B4 A C< D> G< dissonant G3 C4 F4 C5 A> C Eb^ G 1/(7:6:5:4) G#3 C#4 F#4 C#5 Bb^ C#v E[ G#v dissonant A3 D4 G4 D5 B[ Db^ E> Ab^ 1/(7:6:5:4) A#3 D#4 G#4 D#5 Bv D F< A 5:6:7:9 B3 E4 A4 E5 C< D> F] A> 1/(7:6:5:4) C4 F4 A#4 F5 C Eb^ F#v Bb^ 5:6:7:9 C#4 F#4 B4 F#5 C#v E[ G< B[ 1/(7:6:5:4) D4 G4 C5 G5 Db^ E> G Bv dissonant D#4 G#4 C#5 G#5 D F< G#v C< 1/(7:6:5:4) E4 A4 D5 A5 D> F] Ab^ C dissonant F4 A#4 D#5 A#5 Eb^ F#v A C#v 1/(7:6:5:4) F#4 B4 E5 B5 E[ G< A> Db^ dissonant G4 C5 F5 C6 E> G Bb^ D 1/(7:6:5:4) G#4 C#5 F#5 C#6 F< G#v B[ D> dissonant A4 D5 G5 D6 F] Ab^ Bv Eb^ dissonant A#4 D#5 G#5 D#6 F#v A C< E[ dissonant B4 E5 A5 E6 G< A> C E> dissonant C5 F5 A#5 F6 G Bb^ C#v F< dissonant Keyboard Pattern: P5-m3-P5 (inversions include m3-P5-M3, P5-M3-P5, M3-P5-m3) keyboard notation 72-tET notation quality E3 B3 D4 A4 G#v C< Db^ F] dissonant F3 C4 D#4 A#4 Ab^ Db^ D F#v magic F#3 C#4 E4 B4 A C#v D> G< dissonant G3 D4 F4 C5 A> Db^ Eb^ G magic G#3 D#4 F#4 C#5 Bb^ D E[ G#v dissonant A3 E4 G4 D5 B[ D> E> Ab^ magic A#3 F4 G#4 D#5 Bv Eb^ F< A dissonant B3 F#4 A4 E5 C< E[ F] A> magic C4 G4 A#4 F5 C E> F#v Bb^ dissonant C#4 G#4 B4 F#5 C#v F< G< B[ magic D4 A4 C5 G5 Db^ F] G Bv dissonant D#4 A#4 C#5 G#5 D F#v G#v C< magic E4 B4 D5 A5 D> G< Ab^ C dissonant F4 C5 D#5 A#5 Eb^ G A C#v magic F#4 C#5 E5 B5 E[ G#v A> Db^ dissonant G4 D5 F5 C6 E> Ab^ Bb^ D magic G#4 D#5 F#5 C#6 F< A B[ D> dissonant A4 E5 G5 D6 F] A> Bv Eb^ dissonant A#4 F5 G#5 D#6 F#v Bb^ C< E[ dissonant B4 F#5 A5 E6 G< B[ C E> dissonant C5 G5 A#5 F6 G Bv C#v F< magic Keyboard Pattern: m3-M6-P4 (inversions include M6-P4-M3, P4-M3-m3, M3-m3-M6) keyboard notation 72-tET notation quality E3 G3 E4 A4 G#v A> D> F] dissonant F3 G#3 F4 A#4 Ab^ Bb^ Eb^ F#v 4:9/2:6:7 F#3 A3 F#4 B4 A B[ E[ G< dissonant G3 A#3 G4 C5 A> Bv E> G dissonant G#3 B3 G#4 C#5 Bb^ C< F< G#v dissonant A3 C4 A4 D5 B[ C F] Ab^ dissonant A#3 C#4 A#4 D#5 Bv C#v F#v A 1/(9:8:6:5) B3 D4 B4 E5 C< Db^ G< A> dissonant C4 D#4 C5 F5 C D G Bb^ 1/(9:8:6:5) C#4 E4 C#5 F#5 C#v D> G#v B[ dissonant D4 F4 D5 G5 Db^ Eb^ Ab^ Bv 4:9/2:6:7 D#4 F#4 D#5 G#5 D E[ A C< dissonant E4 G4 E5 A5 D> E> A> C 4:9/2:6:7 F4 G#4 F5 A#5 Eb^ F< Bb^ C#v dissonant F#4 A4 F#5 B5 E[ F] B[ Db^ 4:9/2:6:7 G4 A#4 G5 C6 E> F#v Bv D dissonant G#4 B4 G#5 C#6 F< G< C< D> 4:9/2:6:7 A4 C5 A5 D6 F] G C Eb^ dissonant A#4 C#5 A#5 D#6 F#v G#v C#v E[ 4:9/2:6:7 B4 D5 B5 E6 G< Ab^ Db^ E> dissonant C5 D#5 C6 F6 G A D F< 4:9/2:6:7 Keyboard Pattern: P4-M6-m3 (inversions include M6-m3-M3, m3-M3-P4, M3-P4-M6) keyboard notation 72-tET notation quality E3 A3 F#4 A4 G#v B[ E[ F] 1/7:1/6:2/9:1/4 F3 A#3 G4 A#4 Ab^ Bv E> F#v dissonant F#3 B3 G#4 B4 A C< F< G< 1/7:1/6:2/9:1/4 G3 C3 A4 C5 A> C F] G dissonant G#3 C#4 A#4 C#5 Bb^ C#v F#v G#v 1/7:1/6:2/9:1/4 A3 D4 B4 D5 B[ Db^ G< Ab^ dissonant A#3 D#4 C5 D#5 Bv D G A 5:6:8:9 B3 E4 C#5 E5 C< D> G#v A> dissonant C4 F4 D5 F5 C Eb^ Ab^ Bb^ 5:6:8:9 C#4 F#4 D#5 F#5 C#v E[ A B[ dissonant D4 G4 E5 G5 Db^ E> A> Bv dissonant D#4 F#4 F5 G#5 D F< Bb^ C< dissonant E4 A4 F#5 A5 D> F] B[ C dissonant F4 A#4 G5 A#5 Eb^ F#v Bv C#v 1/7:1/6:2/9:1/4 F#4 B4 G#5 B5 E[ G< C< Db^ dissonant G4 C5 A5 C6 E> G C D 1/7:1/6:2/9:1/4 G#4 C#5 A#5 C#6 F< G#v C#v D> dissonant A4 D5 B5 D6 F] Ab^ Db^ Eb^ 1/7:1/6:2/9:1/4 A#4 D#5 C6 D#6 F#v A D E[ dissonant B4 E5 C#6 E6 G< A> D> E> 1/7:1/6:2/9:1/4 C5 F5 D6 F6 G Bb^ Eb^ F< dissonant Keyboard Pattern: P5-P5-m3 (inversions include P5-m3-M3, m3-M3-P5, M3-P5-P5) keyboard notation 72-tET notation quality E3 B3 F#4 A4 G#v C< E[ F] augmagic-O F3 C4 G4 A#4 Ab^ Db^ E> F#v dissonant F#3 C#4 G#4 B4 A C#v F< G< augmagic-O G3 D4 A4 C5 A> Db^ F] G dissonant G#3 D#4 A#4 C#5 Bb^ D F#v G#v augmagic-O A3 E4 B4 D5 B[ D> G< Ab^ dissonant A#3 F4 C5 D#5 Bv Eb^ G A dissonant B3 F#4 C#5 E5 C< E[ G#v A> dissonant C4 G4 D5 F5 C E> Ab^ Bb^ dissonant C#4 G#4 D#5 F#5 C#v F< A B[ dissonant D4 A4 E5 G5 Db^ F] A> Bv dissonant D#4 A#4 F5 G#5 D F#v Bb^ C< dissonant E4 B4 F#5 A5 D> G< B[ C dissonant F4 C5 G5 A#5 Eb^ G Bv C#v augmagic-O F#4 C#5 G#5 B5 E[ G#v C< Db^ dissonant G4 D5 A5 C6 E> Ab^ C D augmagic-O G#4 D#5 A#5 C#6 F< A C#v D> dissonant A4 E5 B5 D6 F] A> Db^ Eb^ augmagic-O A#4 F5 C6 D#6 F#v Bb^ D E[ dissonant B4 F#5 C#6 E6 G< B[ D> E> augmagic-O C5 G5 D6 F6 G Bv Eb^ F< dissonant Keyboard Pattern: m3-P5-P5 (inversions include P5-P5-M3, P5-M3-m3, M3-m3-P5) keyboard notation 72-tET notation quality E3 G3 D4 A4 G#v A> Db^ F] dissonant F3 G#3 D#4 A#4 Ab^ Bb^ D F#v augmagic-U F#3 A3 E4 B4 A B[ D> G< dissonant G3 A#3 F4 C5 A> Bv Eb^ G dissonant G#3 B3 F#4 C#5 Bb^ C< E[ G#v dissonant A3 C4 G4 D5 B[ C E> Ab^ dissonant A#3 C#4 G#4 D#5 Bv C#v F< A dissonant B3 D4 A4 E5 C< Db^ F] A> dissonant C4 D#4 A#4 F5 C D F#v Bb^ dissonant C#4 E4 B4 F#5 C#v D> G< B[ dissonant D4 F4 C5 G5 Db^ Eb^ G Bv augmagic-U D#4 F#4 C#5 G#5 D E[ G#v C< dissonant E4 G4 D5 A5 D> E> Ab^ C augmagic-U F4 G#4 D#5 A#5 Eb^ F< A C#v dissonant F#4 A4 E5 B5 E[ F] A> Db^ augmagic-U G4 A#4 F5 C6 E> F#v Bb^ D dissonant G#4 B4 F#5 C#6 F< G< B[ D> augmagic-U A4 C5 G5 D6 F] G Bv Eb^ dissonant A#4 C#5 G#5 D#6 F#v G#v C< E[ augmagic-U B4 D5 A5 E6 G< Ab^ C E> dissonant C5 D#5 A#5 F6 G A C#v F< augmagic-U Keyboard Pattern: m3-TT-m3 (inversions include TT-m3-M6, m3-M6-m3, M6-m3-TT) keyboard notation 72-tET notation quality F#3 A3 D#4 F#4 A B[ D E[ 11-limit ASS G3 A#3 E4 G4 A> Bv D> E> 1/(12:11:9:8) G#3 B3 F4 G#4 Bb^ C< Eb^ F< 11-limit ASS A3 C4 F#4 A4 B[ C E[ F] 1/(12:11:9:8) A#3 C#4 G4 A#4 Bv C#v E> F#v 8:9:11:12 B3 D4 G#4 B4 C< Db^ F< G< 1/(12:11:9:8) C4 D#4 A5 C5 C D F] G 8:9:11:12 C#4 E4 A#5 C#5 C#v D> F#v G#v 1/(12:11:9:8) D4 F4 B5 D5 Db^ Eb^ G< Ab^ 8:9:11:12 D#4 F#4 C5 D#5 D E[ G A 1/(12:11:9:8) E4 G4 C#5 E5 D> E> G#v A> 8:9:11:12 F4 G#4 D5 F5 Eb^ F< Ab^ Bb^ 1/(12:11:9:8) F#4 A4 D#5 F#5 E[ F] A B[ 8:9:11:12 G4 A#4 E5 G5 E> F#v A> Bv 11-limit ASS G#4 B4 F5 G#5 F< G< Bb^ C< 8:9:11:12 A4 C5 F#5 A5 F] G B[ C 11-limit ASS A#4 C#5 G5 A#5 F#v G#v Bv C#v Pyth.tetratonic B4 D5 G#5 B5 G< Ab^ C< Db^ 11-limit ASS C5 D#5 A5 C6 G A C D Pyth.tetratonic C#5 E5 A#5 C#6 G#v A> C#v D> 11-limit ASS D5 F5 B5 D6 Ab^ Bb^ Db^ Eb^ Pyth.tetratonic