This is Manuel Op de Coul's Blackjack chord list, translated to the ASCIIfied Sims notation. -- Dave Keenan --------------------------------------------------------------------------- Chords present in the 21 note MOS of 11-limit "MIRACLE" temperament by Erlich & Keenan. File: blackjack.scl, 1/1=G, see Tuning List 2-may-2001 & 23-nov-2001. Maximum difference for chord tones: 5 cents. Version of chord list: 12-nov-2001. Notation legend: v ^ = -+ 16.667 cents < > = -+ 33.333 cents [ ] = -+ 50.000 cents b # = -+ 100.000 cents 0-7-12: Major Triad diff. 2.980, 1.955 G Bv D 0-7-12-17: Harmonic Dominant Seventh diff. 2.980, 1.955, 2.159 G Bv D F< 0-7-12-17-24: Dominant Ninth "9" diff. 2.980, 1.955, 2.159, 3.910 G Bv D F< A 0-7-12-24: Added Ninth "add9" diff. 2.980, 1.955, 3.910 G Bv D A 0-12-17: Nameless 5/7 Chord diff. 1.955, 2.159 G D F< 0-5-10: Diminished Triad diff. -1.025,-0.821 G Bb^ C#v 0-5-10-14: Harmonic Dominant Seventh 1st inversion diff. -1.025,-0.821,-2.980 G Bb^ C#v Eb^ 0-5-14: Neapolitan Sixth, Major Triad 1st inversion diff. -1.025,-2.980 G Bb^ Eb^ 0-4-11-16: Harmonic Dominant Seventh 3rd inversion diff. -2.159, 0.821,-0.204 G A> Db^ E> 0-3-7-12: Added Second "2" "add2" diff. 3.910, 2.980, 1.955 G A Bv D 0-7-12-19: Major Seventh "*" "maj7" diff. 2.980, 1.955, 4.935 G Bv D F#v 0-7-12-19-24: Major Ninth "maj9" diff. 2.980, 1.955, 4.935, 3.910 G Bv D F#v A 0-7-19: Major Quintal Trine diff. 2.980, 4.935 G Bv F#v 0-12-19: Major Quintal Trine diff. 1.955, 4.935 G D F#v 0-5-12: Minor Triad "m" diff. -1.025, 1.955 G Bb^ D 0-5-12-14: Major Seventh 1st inversion diff. -1.025, 1.955,-2.980 G Bb^ D Eb^ 0-2-9-14: Major Seventh 3rd inversion diff. -4.935,-1.955,-2.980 G Ab^ C Eb^ 0-5-9-14: Third-Fourth Chord "4/3", Minor Seventh 2nd inversion diff. -1.025,-1.955,-2.980 G Bb^ C Eb^ 0-9-14: Minor Triad 2nd inversion diff. -1.955,-2.980 G C Eb^ 0-6-12: Neutral Triad diff. -2.592, 1.955 G B[ D 0-4-8: Double Septimal Whole-Tone diff. -2.159,-4.318 G A> C< 0-2-7-9: Tartini neochromatic diff. -4.935, 2.980,-1.955 G Ab^ Bv C 0-3-9-12: Second-Fourth-Fifth Chord "5/4/2" G A C D 0-3-12: Suspended Second "sus2", Second-Fifth Chord "5/2" G A D 0-9-12: Suspended Fourth "sus4" G C D 0-9-12-24: Fourth-Ninth Chord "9/4" "sus4add9" G C D A 0-12-24: Quintal Trine G D A 0-12-24-42: Quintal Tetrad G D A G 0-3-6-9: Rast, Nagdi, Neutral Diatonic, Islamic Diatonic G A B[ C 0-6-12: 24-Tone Neutral Triad G B[ D 0-6-12: 31-Tone Neutral Triad diff. -1.613,-3.226 G B[ D 0-7-12: 31-Tone Major Triad diff. 3.763,-3.226 G Bv D 0-7-12-17: 31-Tone Harmonic Dominant Seventh diff. 3.763,-3.226, 1.075 G Bv D F< 0-2-5-9: Iraq, Segah diff. -3.459, 0.314,-1.887 G Ab^ Bb^ C 0-2-5-9-12: Segah pentachord diff. -3.459, 0.314,-1.887, 1.887 G Ab^ Bb^ C D 0-2-7-9: Sedaraban, Hicaz diff. -3.459, 1.572,-1.887 G Ab^ Bv C 0-3-5-9: Mustear diff. 3.774, 0.314,-1.887 G A Bb^ C 0-3-5-9-12: Mustear pentachord diff. 3.774, 0.314,-1.887, 1.887 G A Bb^ C D 0-3-7-9: Turkish Rast diff. 3.774, 1.572,-1.887 G A Bv C 0-3-7-9-12: Turkish Rast pentachord diff. 3.774, 1.572,-1.887, 1.887 G A Bv C D 0-2-7-9: Helmholtz Chromatic diff. -4.935, 2.980,-1.955 G Ab^ Bv C 0-2-7-9: Palmer Tetrachord diff. -2.982, 1.027,-1.955 G Ab^ Bv C 0-3-6-9: Modern Rast diff. 3.910, 4.547,-1.955 G A B[ C 0-7-12-17-24-29-40-52: Keenan's first Blackjack Chord 1 G Bv D F< A C< F#v C#v 0-7-12-19-24-31-38-50: Keenan's first Blackjack Chord 2 G Bv D F#v A C#v F< C< 0-7-12-17-19-24-29-31: Keenan's first Blackjack Chord 3 G Bv D F< F#v A C< C#v 0-7-12-17-24-31-40-50: Keenan's first Blackjack Chord, Paul version G Bv D F< A C#v F#v C< 0-1-4-9: Ptolemy's Intense Chromatic diff. -2.796,-2.159,-1.955 G G#v A> C 0-2-5-9: Ptolemy's Diatonon Syntonon, Intense Diatonic diff. -4.935,-1.025,-1.955 G Ab^ Bb^ C 0-2-4-9: Al-Farabi's Intense Chromatic diff. -4.935,-2.159,-1.955 G Ab^ A> C 0-4-8-9: Al-Farabi's Diatonic diff. -2.159,-4.318,-1.955 G A> C< C 0-1-2-9: Pachymeres/Tartini Enharmonic diff. 1.134,-4.935,-1.955 G G#v Ab^ C 0-1-3-9: Perrett's Chromatic diff. 1.134, 3.910,-1.955 G G#v A C 1-10-17: Major Triad 2nd inversion diff. -1.955, 1.025 G#v C#v F< 1-17-27: BP Wide Triad diff. 1.025, 0.204 G#v F< B[ 1-29-39-49: Hendrix Chord (Monzo) diff. 2.980, 2.159,-2.487 G#v C< F] Bv 1-6-10-17: Harmonic Dominant Seventh 2nd inversion diff. 0.204,-1.955, 1.025 G#v B[ C#v F< 1-29-39-48: Hendrix Chord (Erlich) diff. 2.980, 2.159, 0.204 G#v C< F] B[ 1-8-20: Major Quintal Trine diff. 2.980, 4.935 G#v C< G< 1-10-15: Subminor Triad 2nd inversion diff. -1.955,-1.751 G#v C#v E[ 1-10-19: Quartal Triad diff. -1.955,-3.910 G#v C#v F#v 1-8-10-17: Major Seventh 2nd inversion diff. 2.980,-1.955, 1.025 G#v C< C#v F< 1-8-17: Minor Triad 1st inversion diff. 2.980, 1.025 G#v C< F< 1-3-8-10: Tartini neochromatic diff. -4.935, 2.980,-1.955 G#v A C< C#v 1-7-19: Minor Quintal Trine G#v Bv F#v 1-10-19: Quartal Trine G#v C#v F#v 1-4-7-10: Bayati G#v A> Bv C#v 1-3-8-10: Sedaraban, Hicaz diff. -3.459, 1.572,-1.887 G#v A C< C#v 1-3-8-10: Helmholtz Chromatic diff. -4.935, 2.980,-1.955 G#v A C< C#v 1-3-8-10: Palmer Tetrachord diff. -2.982, 1.027,-1.955 G#v A C< C#v 1-2-3-10: Ptolemy's Enharmonic diff. 4.717,-4.935,-1.955 G#v Ab^ A C#v 1-3-5-10: Al-Farabi's Intense Chromatic diff. -4.935,-2.159,-1.955 G#v A Bb^ C#v 2-9-14: Major Triad diff. 2.980, 1.955 Ab^ C Eb^ 2-9-14-19: Harmonic Dominant Seventh diff. 2.980, 1.955, 2.159 Ab^ C Eb^ F#v 2-9-14-19-26: Dominant Ninth "9" diff. 2.980, 1.955, 2.159, 3.910 Ab^ C Eb^ F#v Bb^ 2-9-14-26: Added Ninth "add9" diff. 2.980, 1.955, 3.910 Ab^ C Eb^ Bb^ 2-14-19: Nameless 5/7 Chord diff. 1.955, 2.159 Ab^ Eb^ F#v 2-7-14: Subminor Triad diff. 0.204, 1.955 Ab^ Bv Eb^ 2-7-14-20: Undecimal Subminor Seventh diff. 0.204, 1.955,-0.637 Ab^ Bv Eb^ G< 2-30-40-49: Hendrix Chord (Erlich) diff. 2.980, 2.159, 0.204 Ab^ C F#v Bv 2-6-13-18: Harmonic Dominant Seventh 3rd inversion diff. -2.159, 0.821,-0.204 Ab^ B[ D> F] 2-5-9-14: Added Second "2" "add2" diff. 3.910, 2.980, 1.955 Ab^ Bb^ C Eb^ 2-9-14-21: Major Seventh "*" "maj7" diff. 2.980, 1.955, 4.935 Ab^ C Eb^ G 2-9-14-21-26: Major Ninth "maj9" diff. 2.980, 1.955, 4.935, 3.910 Ab^ C Eb^ G Bb^ 2-9-21: Major Quintal Trine diff. 2.980, 4.935 Ab^ C G 2-14-21: Major Quintal Trine diff. 1.955, 4.935 Ab^ Eb^ G 2-7-12-19: Subharmonic Half-diminished Seventh diff. 0.204,-0.821, 2.159 Ab^ Bv D F#v 2-7-14-19: Subminor Seventh diff. 0.204, 1.955, 2.159 Ab^ Bv Eb^ F#v 2-7-14-19-26: Subminor Ninth diff. 0.204, 1.955, 2.159, 3.910 Ab^ Bv Eb^ F#v Bb^ 2-4-11-16: Major Seventh 3rd inversion diff. -4.935,-1.955,-2.980 Ab^ A> Db^ E> 2-11-16: Minor Triad 2nd inversion diff. -1.955,-2.980 Ab^ Db^ E> 2-8-14: Neutral Triad diff. -2.592, 1.955 Ab^ C< Eb^ 2-7-12: Subharmonic Diminished Triad diff. 0.204,-0.821 Ab^ Bv D 2-6-10: Double Septimal Whole-Tone diff. -2.159,-4.318 Ab^ B[ C#v 2-4-9-11: Tartini neochromatic diff. -4.935, 2.980,-1.955 Ab^ A> C Db^ 2-5-11-14: Second-Fourth-Fifth Chord "5/4/2" Ab^ Bb^ Db^ Eb^ 2-5-14: Suspended Second "sus2", Second-Fifth Chord "5/2" Ab^ Bb^ Eb^ 2-11-14: Suspended Fourth "sus4" Ab^ Db^ Eb^ 2-11-14-26: Fourth-Ninth Chord "9/4" "sus4add9" Ab^ Db^ Eb^ Bb^ 2-14-26: Quintal Trine Ab^ Eb^ Bb^ 2-14-26-44: Quintal Tetrad Ab^ Eb^ Bb^ Ab^ 2-5-8-11: Rast, Nagdi, Neutral Diatonic, Islamic Diatonic Ab^ Bb^ C< Db^ 2-8-14: 24-Tone Neutral Triad Ab^ C< Eb^ 2-8-14: 31-Tone Neutral Triad diff. -1.613,-3.226 Ab^ C< Eb^ 2-9-14: 31-Tone Major Triad diff. 3.763,-3.226 Ab^ C Eb^ 2-9-14-19: 31-Tone Harmonic Dominant Seventh diff. 3.763,-3.226, 1.075 Ab^ C Eb^ F#v 2-4-9-11: Sedaraban, Hicaz diff. -3.459, 1.572,-1.887 Ab^ A> C Db^ 2-5-9-11: Turkish Rast diff. 3.774, 1.572,-1.887 Ab^ Bb^ C Db^ 2-5-9-11-14: Turkish Rast pentachord diff. 3.774, 1.572,-1.887, 1.887 Ab^ Bb^ C Db^ Eb^ 2-4-9-11: Helmholtz Chromatic diff. -4.935, 2.980,-1.955 Ab^ A> C Db^ 2-4-9-11: Palmer Tetrachord diff. -2.982, 1.027,-1.955 Ab^ A> C Db^ 2-5-8-11: Modern Rast diff. 3.910, 4.547,-1.955 Ab^ Bb^ C< Db^ 2-9-14-19-26-31-42-54: Keenan's first Blackjack Chord 1 Ab^ C Eb^ F#v Bb^ C#v G D 2-9-14-21-26-33-40-52: Keenan's first Blackjack Chord 2 Ab^ C Eb^ G Bb^ D F#v C#v 2-9-14-19-21-26-31-33: Keenan's first Blackjack Chord 3 Ab^ C Eb^ F#v G Bb^ C#v D 2-9-14-19-26-33-42-52: Keenan's first Blackjack Chord, Paul version Ab^ C Eb^ F#v Bb^ D G C#v 2-3-6-11: Ptolemy's Intense Chromatic diff. -2.796,-2.159,-1.955 Ab^ A B[ Db^ 2-3-7-11: Ptolemy's Diatonon Malakon, Soft Diatonic diff. 1.134, 0.204,-1.955 Ab^ A Bv Db^ 2-4-6-11: Al-Farabi's Intense Chromatic diff. -4.935,-2.159,-1.955 Ab^ A> B[ Db^ 2-6-10-11: Al-Farabi's Diatonic diff. -2.159,-4.318,-1.955 Ab^ B[ C#v Db^ 2-3-4-11: Pachymeres/Tartini Enharmonic diff. 1.134,-4.935,-1.955 Ab^ A A> Db^ 2-3-5-11: Perrett's Chromatic diff. 1.134, 3.910,-1.955 Ab^ A Bb^ Db^ 3-12-19: Major Triad 2nd inversion diff. -1.955, 1.025 A D F#v 3-19-29: BP Wide Triad diff. 1.025, 0.204 A F#v C< 3-31-41-51: Hendrix Chord (Monzo) diff. 2.980, 2.159,-2.487 A C#v G< C 3-8-12-19: Harmonic Dominant Seventh 2nd inversion diff. 0.204,-1.955, 1.025 A C< D F#v 3-31-41-50: Hendrix Chord (Erlich) diff. 2.980, 2.159, 0.204 A C#v G< C< 3-10-22: Major Quintal Trine diff. 2.980, 4.935 A C#v G#v 3-7-12-19: Second-Fourth-Sixth Chord "6/4/2", Minor Seventh 3rd inversion diff. -0.930,-1.955, 1.025 A Bv D F#v 3-12-17: Subminor Triad 2nd inversion diff. -1.955,-1.751 A D F< 3-12-21: Quartal Triad diff. -1.955,-3.910 A D G 3-12-21-28: Carole King Chord, Dominant Ninth diff. -1.955,-3.910,-0.930 A D G Bv 3-10-12-19: Major Seventh 2nd inversion diff. 2.980,-1.955, 1.025 A C#v D F#v 3-10-19: Minor Triad 1st inversion diff. 2.980, 1.025 A C#v F#v 3-5-10-12: Tartini neochromatic diff. -4.935, 2.980,-1.955 A Bb^ C#v D 3-9-21: Minor Quintal Trine A C G 3-12-21: Quartal Trine A D G 3-6-9-12: Bayati A B[ C D 3-5-10-12: Sedaraban, Hicaz diff. -3.459, 1.572,-1.887 A Bb^ C#v D 3-5-10-12: Helmholtz Chromatic diff. -4.935, 2.980,-1.955 A Bb^ C#v D 3-5-10-12: Palmer Tetrachord diff. -2.982, 1.027,-1.955 A Bb^ C#v D 3-5-7-12: Didymos' Chromatic diff. -4.935,-0.930,-1.955 A Bb^ Bv D 3-4-5-12: Ptolemy's Enharmonic diff. 4.717,-4.935,-1.955 A A> Bb^ D 4-11-16: Major Triad diff. 2.980, 1.955 A> Db^ E> 4-11-16-21: Harmonic Dominant Seventh diff. 2.980, 1.955, 2.159 A> Db^ E> G 4-16-21: Nameless 5/7 Chord diff. 1.955, 2.159 A> E> G 4-9-16: Subminor Triad diff. 0.204, 1.955 A> C E> 4-9-16-22: Undecimal Subminor Seventh diff. 0.204, 1.955,-0.637 A> C E> G#v 4-32-42-51: Hendrix Chord (Erlich) diff. 2.980, 2.159, 0.204 A> Db^ G C 4-8-15-20: Harmonic Dominant Seventh 3rd inversion diff. -2.159, 0.821,-0.204 A> C< E[ G< 4-11-16-23: Major Seventh "*" "maj7" diff. 2.980, 1.955, 4.935 A> Db^ E> Ab^ 4-11-23: Major Quintal Trine diff. 2.980, 4.935 A> Db^ Ab^ 4-16-23: Major Quintal Trine diff. 1.955, 4.935 A> E> Ab^ 4-9-14-21: Subharmonic Half-diminished Seventh diff. 0.204,-0.821, 2.159 A> C Eb^ G 4-9-16-21: Subminor Seventh diff. 0.204, 1.955, 2.159 A> C E> G 4-6-13-18: Major Seventh 3rd inversion diff. -4.935,-1.955,-2.980 A> B[ D> F] 4-13-18: Minor Triad 2nd inversion diff. -1.955,-2.980 A> D> F] 4-10-16: Neutral Triad diff. -2.592, 1.955 A> C#v E> 4-9-14: Subharmonic Diminished Triad diff. 0.204,-0.821 A> C Eb^ 4-8-12: Double Septimal Whole-Tone diff. -2.159,-4.318 A> C< D 4-6-11-13: Tartini neochromatic diff. -4.935, 2.980,-1.955 A> B[ Db^ D> 4-13-16: Suspended Fourth "sus4" A> D> E> 4-7-10: Sikah (Segah) A> Bv C#v 4-7-10-13: Mojahira, Iraq A> Bv C#v D> 4-10-16: 24-Tone Neutral Triad A> C#v E> 4-10-16: 31-Tone Neutral Triad diff. -1.613,-3.226 A> C#v E> 4-11-16: 31-Tone Major Triad diff. 3.763,-3.226 A> Db^ E> 4-11-16-21: 31-Tone Harmonic Dominant Seventh diff. 3.763,-3.226, 1.075 A> Db^ E> G 4-6-11-13: Sedaraban, Hicaz diff. -3.459, 1.572,-1.887 A> B[ Db^ D> 4-7-10-13: Dudon Tetrachord A diff. 3.307,-2.592,-1.955 A> Bv C#v D> 4-6-11-13: Helmholtz Chromatic diff. -4.935, 2.980,-1.955 A> B[ Db^ D> 4-6-11-13: Palmer Tetrachord diff. -2.982, 1.027,-1.955 A> B[ Db^ D> 4-5-8-13: Ptolemy's Intense Chromatic diff. -2.796,-2.159,-1.955 A> Bb^ C< D> 4-5-9-13: Ptolemy's Diatonon Malakon, Soft Diatonic diff. 1.134, 0.204,-1.955 A> Bb^ C D> 4-6-8-13: Al-Farabi's Intense Chromatic diff. -4.935,-2.159,-1.955 A> B[ C< D> 4-8-12-13: Al-Farabi's Diatonic diff. -2.159,-4.318,-1.955 A> C< D D> 4-5-6-13: Pachymeres/Tartini Enharmonic diff. 1.134,-4.935,-1.955 A> Bb^ B[ D> 5-14-21: Major Triad 2nd inversion diff. -1.955, 1.025 Bb^ Eb^ G 5-21-31: BP Wide Triad diff. 1.025, 0.204 Bb^ G C#v 5-33-43-53: Hendrix Chord (Monzo) diff. 2.980, 2.159,-2.487 Bb^ D G#v Db^ 5-10-14-21: Harmonic Dominant Seventh 2nd inversion diff. 0.204,-1.955, 1.025 Bb^ C#v Eb^ G 5-33-43-52: Hendrix Chord (Erlich) diff. 2.980, 2.159, 0.204 Bb^ D G#v C#v 5-12-24: Major Quintal Trine diff. 2.980, 4.935 Bb^ D A 5-9-14-21: Second-Fourth-Sixth Chord "6/4/2", Minor Seventh 3rd inversion diff. -0.930,-1.955, 1.025 Bb^ C Eb^ G 5-14-19: Subminor Triad 2nd inversion diff. -1.955,-1.751 Bb^ Eb^ F#v 5-14-23: Quartal Triad diff. -1.955,-3.910 Bb^ Eb^ Ab^ 5-14-23-30: Carole King Chord, Dominant Ninth diff. -1.955,-3.910,-0.930 Bb^ Eb^ Ab^ C 5-12-14-21: Major Seventh 2nd inversion diff. 2.980,-1.955, 1.025 Bb^ D Eb^ G 5-12-21: Minor Triad 1st inversion diff. 2.980, 1.025 Bb^ D G 5-11-23: Minor Quintal Trine Bb^ Db^ Ab^ 5-14-23: Quartal Trine Bb^ Eb^ Ab^ 5-8-11-14: Bayati Bb^ C< Db^ Eb^ 5-7-9-14: Ptolemy's Soft Chromatic diff. -3.706,-0.930,-1.955 Bb^ Bv C Eb^ 5-7-11-14: Diatonic with Soft Chromatic Diesis diff. 0.000, 0.000, 0.000 Bb^ Bv Db^ Eb^ 6-13-18: Major Triad diff. 2.980, 1.955 B[ D> F] 6-13-18-23: Harmonic Dominant Seventh diff. 2.980, 1.955, 2.159 B[ D> F] Ab^ 6-18-23: Nameless 5/7 Chord diff. 1.955, 2.159 B[ F] Ab^ 6-11-18: Subminor Triad diff. 0.204, 1.955 B[ Db^ F] 6-11-18-24: Undecimal Subminor Seventh diff. 0.204, 1.955,-0.637 B[ Db^ F] A 6-34-44-53: Hendrix Chord (Erlich) diff. 2.980, 2.159, 0.204 B[ D> Ab^ Db^ 6-10-17-22: Harmonic Dominant Seventh 3rd inversion diff. -2.159, 0.821,-0.204 B[ C#v F< G#v 6-13-18-25: Major Seventh "*" "maj7" diff. 2.980, 1.955, 4.935 B[ D> F] A> 6-13-25: Major Quintal Trine diff. 2.980, 4.935 B[ D> A> 6-18-25: Major Quintal Trine diff. 1.955, 4.935 B[ F] A> 6-11-16-23: Subharmonic Half-diminished Seventh diff. 0.204,-0.821, 2.159 B[ Db^ E> Ab^ 6-11-18-23: Subminor Seventh diff. 0.204, 1.955, 2.159 B[ Db^ F] Ab^ 6-8-15-20: Major Seventh 3rd inversion diff. -4.935,-1.955,-2.980 B[ C< E[ G< 6-15-20: Minor Triad 2nd inversion diff. -1.955,-2.980 B[ E[ G< 6-12-18: Neutral Triad diff. -2.592, 1.955 B[ D F] 6-11-16: Subharmonic Diminished Triad diff. 0.204,-0.821 B[ Db^ E> 6-10-14: Double Septimal Whole-Tone diff. -2.159,-4.318 B[ C#v Eb^ 6-8-13-15: Tartini neochromatic diff. -4.935, 2.980,-1.955 B[ C< D> E[ 6-15-18: Suspended Fourth "sus4" B[ E[ F] 6-9-12: Sikah (Segah) B[ C D 6-9-12-15: Mojahira, Iraq B[ C D E[ 6-12-18: 24-Tone Neutral Triad B[ D F] 6-12-18: 31-Tone Neutral Triad diff. -1.613,-3.226 B[ D F] 6-13-18: 31-Tone Major Triad diff. 3.763,-3.226 B[ D> F] 6-13-18-23: 31-Tone Harmonic Dominant Seventh diff. 3.763,-3.226, 1.075 B[ D> F] Ab^ 6-8-13-15: Sedaraban, Hicaz diff. -3.459, 1.572,-1.887 B[ C< D> E[ 6-9-12-15: Dudon Tetrachord A diff. 3.307,-2.592,-1.955 B[ C D E[ 6-8-13-15: Helmholtz Chromatic diff. -4.935, 2.980,-1.955 B[ C< D> E[ 6-8-13-15: Palmer Tetrachord diff. -2.982, 1.027,-1.955 B[ C< D> E[ 6-7-8-15: Ptolemy's Enharmonic diff. 4.717,-4.935,-1.955 B[ Bv C< E[ 6-8-10-15: Al-Farabi's Intense Chromatic diff. -4.935,-2.159,-1.955 B[ C< C#v E[ 6-10-14-15: Al-Farabi's Diatonic diff. -2.159,-4.318,-1.955 B[ C#v Eb^ E[ 7-12-17: Diminished Triad diff. -1.025,-0.821 Bv D F< 7-12-17-21: Harmonic Dominant Seventh 1st inversion diff. -1.025,-0.821,-2.980 Bv D F< G 7-12-17-24: Harmonic Half-diminished Seventh diff. -1.025,-0.821, 0.930 Bv D F< A 7-12-21: Neapolitan Sixth, Major Triad 1st inversion diff. -1.025,-2.980 Bv D G 7-17-24: BP Narrow Triad, BP Wide Triad 1st inversion diff. -0.821, 0.930 Bv F< A 7-17-24-33: Tristan Chord, Harmonic Half-diminished Seventh diff. -0.821, 0.930,-1.025 Bv F< A D 7-14-23: Subminor Triad 1st inversion diff. 1.751,-0.204 Bv Eb^ Ab^ 7-14-30: BP Wide Triad 2nd inversion diff. 1.751, 2.776 Bv Eb^ C 7-12-19: Minor Triad "m" diff. -1.025, 1.955 Bv D F#v 7-12-19-21: Major Seventh 1st inversion diff. -1.025, 1.955,-2.980 Bv D F#v G 7-12-19-24: Minor Seventh "m7" diff. -1.025, 1.955, 0.930 Bv D F#v A 7-14-19-24-31: Subharmonic Dominant Ninth diff. 1.751, 1.955, 0.930, 3.910 Bv Eb^ F#v A C#v 7-14-19-24: Subharmonic Seventh diff. 1.751, 1.955, 0.930 Bv Eb^ F#v A 7-14-19: Supermajor Triad diff. 1.751, 1.955 Bv Eb^ F#v 7-14-19-23: Supermajor Added Sixth diff. 1.751, 1.955,-0.204 Bv Eb^ F#v Ab^ 7-14-19-26: Supermajor Seventh diff. 1.751, 1.955, 3.706 Bv Eb^ F#v Bb^ 7-13-19: Neutral Triad diff. -2.592, 1.955 Bv D> F#v 7-12-19-24-31: Minor Ninth "m9" diff. -1.025, 1.955, 0.930, 3.910 Bv D F#v A C#v 7-12-17-22: Diminished Seventh "dim" diff. -1.025,-0.821,-1.847 Bv D F< G#v 7-11-15: Double Septimal Whole-Tone diff. -2.159,-4.318 Bv Db^ E[ 7-10-19: Suspended Second "sus2", Second-Fifth Chord "5/2" Bv C#v F#v 7-10-19-22: Sixth Suspended Second "6sus2" Bv C#v F#v G#v 7-19-31: Quintal Trine Bv F#v C#v 7-19-31-49: Quintal Tetrad Bv F#v C#v Bv 7-13-19: 24-Tone Neutral Triad Bv D> F#v 7-13-19: 31-Tone Neutral Triad diff. -1.613,-3.226 Bv D> F#v 7-9-12-14: Huzzam diff. -3.459, 0.314,-3.145 Bv C D Eb^ 7-9-12-14-19: Huzzam pentachord diff. -3.459, 0.314,-3.145, 1.887 Bv C D Eb^ F#v 7-14-19-31-42-54-59-66: Keenan's second Blackjack Chord Bv Eb^ F#v C#v G D F< A 8-15-20: Major Triad diff. 2.980, 1.955 C< E[ G< 8-15-20-25: Harmonic Dominant Seventh diff. 2.980, 1.955, 2.159 C< E[ G< A> 8-20-25: Nameless 5/7 Chord diff. 1.955, 2.159 C< G< A> 8-13-20: Subminor Triad diff. 0.204, 1.955 C< D> G< 8-13-20-26: Undecimal Subminor Seventh diff. 0.204, 1.955,-0.637 C< D> G< Bb^ 8-36-46-55: Hendrix Chord (Erlich) diff. 2.980, 2.159, 0.204 C< E[ A> D> 8-12-19-24: Harmonic Dominant Seventh 3rd inversion diff. -2.159, 0.821,-0.204 C< D F#v A 8-15-20-27: Major Seventh "*" "maj7" diff. 2.980, 1.955, 4.935 C< E[ G< B[ 8-15-27: Major Quintal Trine diff. 2.980, 4.935 C< E[ B[ 8-20-27: Major Quintal Trine diff. 1.955, 4.935 C< G< B[ 8-13-18-25: Subharmonic Half-diminished Seventh diff. 0.204,-0.821, 2.159 C< D> F] A> 8-13-20-25: Subminor Seventh diff. 0.204, 1.955, 2.159 C< D> G< A> 8-10-17-22: Major Seventh 3rd inversion diff. -4.935,-1.955,-2.980 C< C#v F< G#v 8-17-22: Minor Triad 2nd inversion diff. -1.955,-2.980 C< F< G#v 8-14-20: Neutral Triad diff. -2.592, 1.955 C< Eb^ G< 8-13-18: Subharmonic Diminished Triad diff. 0.204,-0.821 C< D> F] 8-12-16: Double Septimal Whole-Tone diff. -2.159,-4.318 C< D E> 8-10-15-17: Tartini neochromatic diff. -4.935, 2.980,-1.955 C< C#v E[ F< 8-17-20: Suspended Fourth "sus4" C< F< G< 8-11-14: Sikah (Segah) C< Db^ Eb^ 8-11-14-17: Mojahira, Iraq C< Db^ Eb^ F< 8-14-20: 24-Tone Neutral Triad C< Eb^ G< 8-14-20: 31-Tone Neutral Triad diff. -1.613,-3.226 C< Eb^ G< 8-15-20: 31-Tone Major Triad diff. 3.763,-3.226 C< E[ G< 8-15-20-25: 31-Tone Harmonic Dominant Seventh diff. 3.763,-3.226, 1.075 C< E[ G< A> 8-10-15-17: Sedaraban, Hicaz diff. -3.459, 1.572,-1.887 C< C#v E[ F< 8-11-14-17: Dudon Tetrachord A diff. 3.307,-2.592,-1.955 C< Db^ Eb^ F< 8-10-15-17: Helmholtz Chromatic diff. -4.935, 2.980,-1.955 C< C#v E[ F< 8-10-15-17: Palmer Tetrachord diff. -2.982, 1.027,-1.955 C< C#v E[ F< 8-9-10-17: Ptolemy's Enharmonic diff. 4.717,-4.935,-1.955 C< C C#v F< 8-10-12-17: Al-Farabi's Intense Chromatic diff. -4.935,-2.159,-1.955 C< C#v D F< 8-12-16-17: Al-Farabi's Diatonic diff. -2.159,-4.318,-1.955 C< D E> F< 9-14-19: Diminished Triad diff. -1.025,-0.821 C Eb^ F#v 9-14-19-23: Harmonic Dominant Seventh 1st inversion diff. -1.025,-0.821,-2.980 C Eb^ F#v Ab^ 9-14-19-26: Harmonic Half-diminished Seventh diff. -1.025,-0.821, 0.930 C Eb^ F#v Bb^ 9-14-23: Neapolitan Sixth, Major Triad 1st inversion diff. -1.025,-2.980 C Eb^ Ab^ 9-19-26: BP Narrow Triad, BP Wide Triad 1st inversion diff. -0.821, 0.930 C F#v Bb^ 9-19-26-35: Tristan Chord, Harmonic Half-diminished Seventh diff. -0.821, 0.930,-1.025 C F#v Bb^ Eb^ 9-16-25: Subminor Triad 1st inversion diff. 1.751,-0.204 C E> A> 9-16-32: BP Wide Triad 2nd inversion diff. 1.751, 2.776 C E> Db^ 9-21-28: Major Quintal Trine diff. 1.955, 4.935 C G Bv 9-14-21: Minor Triad "m" diff. -1.025, 1.955 C Eb^ G 9-14-21-23: Major Seventh 1st inversion diff. -1.025, 1.955,-2.980 C Eb^ G Ab^ 9-14-21-26: Minor Seventh "m7" diff. -1.025, 1.955, 0.930 C Eb^ G Bb^ 9-16-21-26-33: Subharmonic Dominant Ninth diff. 1.751, 1.955, 0.930, 3.910 C E> G Bb^ D 9-16-21-26: Subharmonic Seventh diff. 1.751, 1.955, 0.930 C E> G Bb^ 9-16-21: Supermajor Triad diff. 1.751, 1.955 C E> G 9-16-21-25: Supermajor Added Sixth diff. 1.751, 1.955,-0.204 C E> G A> 9-15-21: Neutral Triad diff. -2.592, 1.955 C E[ G 9-14-21-26-33: Minor Ninth "m9" diff. -1.025, 1.955, 0.930, 3.910 C Eb^ G Bb^ D 9-14-19-24: Diminished Seventh "dim" diff. -1.025,-0.821,-1.847 C Eb^ F#v A 9-13-17: Double Septimal Whole-Tone diff. -2.159,-4.318 C D> F< 9-12-21: Suspended Second "sus2", Second-Fifth Chord "5/2" C D G 9-12-21-24: Sixth Suspended Second "6sus2" C D G A 9-21-33: Quintal Trine C G D 9-21-33-51: Quintal Tetrad C G D C 9-15-21: 24-Tone Neutral Triad C E[ G 9-15-21: 31-Tone Neutral Triad diff. -1.613,-3.226 C E[ G 9-11-14-16: Huzzam diff. -3.459, 0.314,-3.145 C Db^ Eb^ E> 9-11-14-16-21: Huzzam pentachord diff. -3.459, 0.314,-3.145, 1.887 C Db^ Eb^ E> G 9-16-21-33-44-56-61-68: Keenan's second Blackjack Chord C E> G D Ab^ Eb^ F#v Bb^ 10-17-22: Major Triad diff. 2.980, 1.955 C#v F< G#v 10-17-22-27: Harmonic Dominant Seventh diff. 2.980, 1.955, 2.159 C#v F< G#v B[ 10-22-27: Nameless 5/7 Chord diff. 1.955, 2.159 C#v G#v B[ 10-15-22: Subminor Triad diff. 0.204, 1.955 C#v E[ G#v 10-38-48-57: Hendrix Chord (Erlich) diff. 2.980, 2.159, 0.204 C#v F< B[ E[ 10-14-21-26: Harmonic Dominant Seventh 3rd inversion diff. -2.159, 0.821,-0.204 C#v Eb^ G Bb^ 10-17-22-29: Major Seventh "*" "maj7" diff. 2.980, 1.955, 4.935 C#v F< G#v C< 10-17-29: Major Quintal Trine diff. 2.980, 4.935 C#v F< C< 10-22-29: Major Quintal Trine diff. 1.955, 4.935 C#v G#v C< 10-19-28: Quartal Triad diff. -1.955,-3.910 C#v F#v Bv 10-15-20-27: Subharmonic Half-diminished Seventh diff. 0.204,-0.821, 2.159 C#v E[ G< B[ 10-15-22-27: Subminor Seventh diff. 0.204, 1.955, 2.159 C#v E[ G#v B[ 10-12-19-24: Major Seventh 3rd inversion diff. -4.935,-1.955,-2.980 C#v D F#v A 10-19-24: Minor Triad 2nd inversion diff. -1.955,-2.980 C#v F#v A 10-16-22: Neutral Triad diff. -2.592, 1.955 C#v E> G#v 10-15-20: Subharmonic Diminished Triad diff. 0.204,-0.821 C#v E[ G< 10-14-18: Double Septimal Whole-Tone diff. -2.159,-4.318 C#v Eb^ F] 10-12-17-19: Tartini neochromatic diff. -4.935, 2.980,-1.955 C#v D F< F#v 10-19-22: Suspended Fourth "sus4" C#v F#v G#v 10-19-22-28: Dominant Seventh Suspended Fourth "7sus4" C#v F#v G#v Bv 10-19-28: Quartal Trine C#v F#v Bv 10-22-28: Minor Quintal Trine C#v G#v Bv 10-13-16: Sikah (Segah) C#v D> E> 10-13-16-19: Mojahira, Iraq C#v D> E> F#v 10-16-22: 24-Tone Neutral Triad C#v E> G#v 10-16-22: 31-Tone Neutral Triad diff. -1.613,-3.226 C#v E> G#v 10-17-22: 31-Tone Major Triad diff. 3.763,-3.226 C#v F< G#v 10-17-22-27: 31-Tone Harmonic Dominant Seventh diff. 3.763,-3.226, 1.075 C#v F< G#v B[ 10-12-17-19: Sedaraban, Hicaz diff. -3.459, 1.572,-1.887 C#v D F< F#v 10-13-16-19: Dudon Tetrachord A diff. 3.307,-2.592,-1.955 C#v D> E> F#v 10-12-17-19: Helmholtz Chromatic diff. -4.935, 2.980,-1.955 C#v D F< F#v 10-12-17-19: Palmer Tetrachord diff. -2.982, 1.027,-1.955 C#v D F< F#v 10-11-12-19: Ptolemy's Enharmonic diff. 4.717,-4.935,-1.955 C#v Db^ D F#v 10-12-14-19: Al-Farabi's Intense Chromatic diff. -4.935,-2.159,-1.955 C#v D Eb^ F#v 10-14-18-19: Al-Farabi's Diatonic diff. -2.159,-4.318,-1.955 C#v Eb^ F] F#v 11-23-28: Nameless 5/7 Chord diff. 1.955, 2.159 Db^ Ab^ Bv 11-16-21: Diminished Triad diff. -1.025,-0.821 Db^ E> G 11-16-21-25: Harmonic Dominant Seventh 1st inversion diff. -1.025,-0.821,-2.980 Db^ E> G A> 11-16-25: Neapolitan Sixth, Major Triad 1st inversion diff. -1.025,-2.980 Db^ E> A> 11-18-27: Subminor Triad 1st inversion diff. 1.751,-0.204 Db^ F] B[ 11-18-34: BP Wide Triad 2nd inversion diff. 1.751, 2.776 Db^ F] D> 11-23-30: Major Quintal Trine diff. 1.955, 4.935 Db^ Ab^ C 11-16-23: Minor Triad "m" diff. -1.025, 1.955 Db^ E> Ab^ 11-16-23-25: Major Seventh 1st inversion diff. -1.025, 1.955,-2.980 Db^ E> Ab^ A> 11-18-23: Supermajor Triad diff. 1.751, 1.955 Db^ F] Ab^ 11-18-23-27: Supermajor Added Sixth diff. 1.751, 1.955,-0.204 Db^ F] Ab^ B[ 11-17-23: Neutral Triad diff. -2.592, 1.955 Db^ F< Ab^ 11-16-21-26: Diminished Seventh "dim" diff. -1.025,-0.821,-1.847 Db^ E> G Bb^ 11-15-19: Double Septimal Whole-Tone diff. -2.159,-4.318 Db^ E[ F#v 11-14-23: Suspended Second "sus2", Second-Fifth Chord "5/2" Db^ Eb^ Ab^ 11-14-23-26: Sixth Suspended Second "6sus2" Db^ Eb^ Ab^ Bb^ 11-23-35: Quintal Trine Db^ Ab^ Eb^ 11-23-35-53: Quintal Tetrad Db^ Ab^ Eb^ Db^ 11-17-23: 24-Tone Neutral Triad Db^ F< Ab^ 11-17-23: 31-Tone Neutral Triad diff. -1.613,-3.226 Db^ F< Ab^ 11-13-16-18: Huzzam diff. -3.459, 0.314,-3.145 Db^ D> E> F] 11-13-16-18-23: Huzzam pentachord diff. -3.459, 0.314,-3.145, 1.887 Db^ D> E> F] Ab^ 12-21-28: Major Triad 2nd inversion diff. -1.955, 1.025 D G Bv 12-28-38: BP Wide Triad diff. 1.025, 0.204 D Bv F< 12-19-24: Major Triad diff. 2.980, 1.955 D F#v A 12-19-24-29: Harmonic Dominant Seventh diff. 2.980, 1.955, 2.159 D F#v A C< 12-24-29: Nameless 5/7 Chord diff. 1.955, 2.159 D A C< 12-17-21-28: Harmonic Dominant Seventh 2nd inversion diff. 0.204,-1.955, 1.025 D F< G Bv 12-17-24: Subminor Triad diff. 0.204, 1.955 D F< A 12-40-50-59: Hendrix Chord (Erlich) diff. 2.980, 2.159, 0.204 D F#v C< F< 12-19-24-31: Major Seventh "*" "maj7" diff. 2.980, 1.955, 4.935 D F#v A C#v 12-19-31: Major Quintal Trine diff. 2.980, 4.935 D F#v C#v 12-24-31: Major Quintal Trine diff. 1.955, 4.935 D A C#v 12-21-30: Quartal Triad diff. -1.955,-3.910 D G C 12-17-22-29: Subharmonic Half-diminished Seventh diff. 0.204,-0.821, 2.159 D F< G#v C< 12-17-24-29: Subminor Seventh diff. 0.204, 1.955, 2.159 D F< A C< 12-19-21-28: Major Seventh 2nd inversion diff. 2.980,-1.955, 1.025 D F#v G Bv 12-19-28: Minor Triad 1st inversion diff. 2.980, 1.025 D F#v Bv 12-19-24-28: Added Sixth "6", Minor Seventh 1st inversion diff. 2.980, 1.955, 1.025 D F#v A Bv 12-14-21-26: Major Seventh 3rd inversion diff. -4.935,-1.955,-2.980 D Eb^ G Bb^ 12-21-26: Minor Triad 2nd inversion diff. -1.955,-2.980 D G Bb^ 12-18-24: Neutral Triad diff. -2.592, 1.955 D F] A 12-17-22: Subharmonic Diminished Triad diff. 0.204,-0.821 D F< G#v 12-16-20: Double Septimal Whole-Tone diff. -2.159,-4.318 D E> G< 12-14-19-21: Tartini neochromatic diff. -4.935, 2.980,-1.955 D Eb^ F#v G 12-21-24: Suspended Fourth "sus4" D G A 12-21-24-30: Dominant Seventh Suspended Fourth "7sus4" D G A C 12-21-30: Quartal Trine D G C 12-24-30: Minor Quintal Trine D A C 12-15-18: Sikah (Segah) D E[ F] 12-15-18-21: Mojahira, Iraq D E[ F] G 12-18-24: 24-Tone Neutral Triad D F] A 12-18-24: 31-Tone Neutral Triad diff. -1.613,-3.226 D F] A 12-19-24: 31-Tone Major Triad diff. 3.763,-3.226 D F#v A 12-19-24-29: 31-Tone Harmonic Dominant Seventh diff. 3.763,-3.226, 1.075 D F#v A C< 12-14-19-21: Sedaraban, Hicaz diff. -3.459, 1.572,-1.887 D Eb^ F#v G 12-15-18-21: Dudon Tetrachord A diff. 3.307,-2.592,-1.955 D E[ F] G 12-14-19-21: Helmholtz Chromatic diff. -4.935, 2.980,-1.955 D Eb^ F#v G 12-14-19-21: Palmer Tetrachord diff. -2.982, 1.027,-1.955 D Eb^ F#v G 12-13-14-21: Ptolemy's Enharmonic diff. 4.717,-4.935,-1.955 D D> Eb^ G 12-14-16-21: Al-Farabi's Intense Chromatic diff. -4.935,-2.159,-1.955 D Eb^ E> G 12-16-20-21: Al-Farabi's Diatonic diff. -2.159,-4.318,-1.955 D E> G< G 13-25-30: Nameless 5/7 Chord diff. 1.955, 2.159 D> A> C 13-18-23: Diminished Triad diff. -1.025,-0.821 D> F] Ab^ 13-18-23-27: Harmonic Dominant Seventh 1st inversion diff. -1.025,-0.821,-2.980 D> F] Ab^ B[ 13-18-27: Neapolitan Sixth, Major Triad 1st inversion diff. -1.025,-2.980 D> F] B[ 13-20-29: Subminor Triad 1st inversion diff. 1.751,-0.204 D> G< C< 13-20-36: BP Wide Triad 2nd inversion diff. 1.751, 2.776 D> G< E[ 13-25-32: Major Quintal Trine diff. 1.955, 4.935 D> A> Db^ 13-18-25: Minor Triad "m" diff. -1.025, 1.955 D> F] A> 13-18-25-27: Major Seventh 1st inversion diff. -1.025, 1.955,-2.980 D> F] A> B[ 13-20-25: Supermajor Triad diff. 1.751, 1.955 D> G< A> 13-20-25-29: Supermajor Added Sixth diff. 1.751, 1.955,-0.204 D> G< A> C< 13-19-25: Neutral Triad diff. -2.592, 1.955 D> F#v A> 13-17-21: Double Septimal Whole-Tone diff. -2.159,-4.318 D> F< G 13-16-25: Suspended Second "sus2", Second-Fifth Chord "5/2" D> E> A> 13-25-37: Quintal Trine D> A> E> 13-25-37-55: Quintal Tetrad D> A> E> D> 13-19-25: 24-Tone Neutral Triad D> F#v A> 13-19-25: 31-Tone Neutral Triad diff. -1.613,-3.226 D> F#v A> 13-15-18-20: Huzzam diff. -3.459, 0.314,-3.145 D> E[ F] G< 13-15-18-20-25: Huzzam pentachord diff. -3.459, 0.314,-3.145, 1.887 D> E[ F] G< A> 14-23-30: Major Triad 2nd inversion diff. -1.955, 1.025 Eb^ Ab^ C 14-30-40: BP Wide Triad diff. 1.025, 0.204 Eb^ C F#v 14-21-26: Major Triad diff. 2.980, 1.955 Eb^ G Bb^ 14-21-26-31: Harmonic Dominant Seventh diff. 2.980, 1.955, 2.159 Eb^ G Bb^ C#v 14-26-31: Nameless 5/7 Chord diff. 1.955, 2.159 Eb^ Bb^ C#v 14-19-23-30: Harmonic Dominant Seventh 2nd inversion diff. 0.204,-1.955, 1.025 Eb^ F#v Ab^ C 14-19-26: Subminor Triad diff. 0.204, 1.955 Eb^ F#v Bb^ 14-42-52-61: Hendrix Chord (Erlich) diff. 2.980, 2.159, 0.204 Eb^ G C#v F#v 14-21-26-33: Major Seventh "*" "maj7" diff. 2.980, 1.955, 4.935 Eb^ G Bb^ D 14-21-33: Major Quintal Trine diff. 2.980, 4.935 Eb^ G D 14-26-33: Major Quintal Trine diff. 1.955, 4.935 Eb^ Bb^ D 14-23-28: Subminor Triad 2nd inversion diff. -1.955,-1.751 Eb^ Ab^ Bv 14-23-32: Quartal Triad diff. -1.955,-3.910 Eb^ Ab^ Db^ 14-19-24-31: Subharmonic Half-diminished Seventh diff. 0.204,-0.821, 2.159 Eb^ F#v A C#v 14-19-26-31: Subminor Seventh diff. 0.204, 1.955, 2.159 Eb^ F#v Bb^ C#v 14-21-23-30: Major Seventh 2nd inversion diff. 2.980,-1.955, 1.025 Eb^ G Ab^ C 14-21-30: Minor Triad 1st inversion diff. 2.980, 1.025 Eb^ G C 14-21-26-30: Added Sixth "6", Minor Seventh 1st inversion diff. 2.980, 1.955, 1.025 Eb^ G Bb^ C 14-20-26: Neutral Triad diff. -2.592, 1.955 Eb^ G< Bb^ 14-19-24: Subharmonic Diminished Triad diff. 0.204,-0.821 Eb^ F#v A 14-18-22: Double Septimal Whole-Tone diff. -2.159,-4.318 Eb^ F] G#v 14-16-21-23: Tartini neochromatic diff. -4.935, 2.980,-1.955 Eb^ E> G Ab^ 14-23-26: Suspended Fourth "sus4" Eb^ Ab^ Bb^ 14-23-26-32: Dominant Seventh Suspended Fourth "7sus4" Eb^ Ab^ Bb^ Db^ 14-23-32: Quartal Trine Eb^ Ab^ Db^ 14-26-32: Minor Quintal Trine Eb^ Bb^ Db^ 14-17-20: Sikah (Segah) Eb^ F< G< 14-17-20-23: Mojahira, Iraq Eb^ F< G< Ab^ 14-20-26: 24-Tone Neutral Triad Eb^ G< Bb^ 14-20-26: 31-Tone Neutral Triad diff. -1.613,-3.226 Eb^ G< Bb^ 14-21-26: 31-Tone Major Triad diff. 3.763,-3.226 Eb^ G Bb^ 14-21-26-31: 31-Tone Harmonic Dominant Seventh diff. 3.763,-3.226, 1.075 Eb^ G Bb^ C#v 14-16-21-23: Sedaraban, Hicaz diff. -3.459, 1.572,-1.887 Eb^ E> G Ab^ 14-17-20-23: Dudon Tetrachord A diff. 3.307,-2.592,-1.955 Eb^ F< G< Ab^ 14-16-21-23: Helmholtz Chromatic diff. -4.935, 2.980,-1.955 Eb^ E> G Ab^ 14-16-21-23: Palmer Tetrachord diff. -2.982, 1.027,-1.955 Eb^ E> G Ab^ 14-15-16-23: Ptolemy's Enharmonic diff. 4.717,-4.935,-1.955 Eb^ E[ E> Ab^ 14-16-18-23: Al-Farabi's Intense Chromatic diff. -4.935,-2.159,-1.955 Eb^ E> F] Ab^ 14-18-22-23: Al-Farabi's Diatonic diff. -2.159,-4.318,-1.955 Eb^ F] G#v Ab^ 15-27-32: Nameless 5/7 Chord diff. 1.955, 2.159 E[ B[ Db^ 15-20-25: Diminished Triad diff. -1.025,-0.821 E[ G< A> 15-20-25-29: Harmonic Dominant Seventh 1st inversion diff. -1.025,-0.821,-2.980 E[ G< A> C< 15-20-29: Neapolitan Sixth, Major Triad 1st inversion diff. -1.025,-2.980 E[ G< C< 15-22-31: Subminor Triad 1st inversion diff. 1.751,-0.204 E[ G#v C#v 15-22-38: BP Wide Triad 2nd inversion diff. 1.751, 2.776 E[ G#v F< 15-27-34: Major Quintal Trine diff. 1.955, 4.935 E[ B[ D> 15-20-27: Minor Triad "m" diff. -1.025, 1.955 E[ G< B[ 15-20-27-29: Major Seventh 1st inversion diff. -1.025, 1.955,-2.980 E[ G< B[ C< 15-22-27: Supermajor Triad diff. 1.751, 1.955 E[ G#v B[ 15-22-27-31: Supermajor Added Sixth diff. 1.751, 1.955,-0.204 E[ G#v B[ C#v 15-21-27: Neutral Triad diff. -2.592, 1.955 E[ G B[ 15-19-23: Double Septimal Whole-Tone diff. -2.159,-4.318 E[ F#v Ab^ 15-18-27: Suspended Second "sus2", Second-Fifth Chord "5/2" E[ F] B[ 15-27-39: Quintal Trine E[ B[ F] 15-27-39-57: Quintal Tetrad E[ B[ F] E[ 15-21-27: 24-Tone Neutral Triad E[ G B[ 15-21-27: 31-Tone Neutral Triad diff. -1.613,-3.226 E[ G B[ 15-17-20-22: Huzzam diff. -3.459, 0.314,-3.145 E[ F< G< G#v 15-17-20-22-27: Huzzam pentachord diff. -3.459, 0.314,-3.145, 1.887 E[ F< G< G#v B[ 16-25-32: Major Triad 2nd inversion diff. -1.955, 1.025 E> A> Db^ 16-32-42: BP Wide Triad diff. 1.025, 0.204 E> Db^ G 16-21-25-32: Harmonic Dominant Seventh 2nd inversion diff. 0.204,-1.955, 1.025 E> G A> Db^ 16-44-54-63: Hendrix Chord (Erlich) diff. 2.980, 2.159, 0.204 E> Ab^ D G 16-23-35: Major Quintal Trine diff. 2.980, 4.935 E> Ab^ Eb^ 16-25-30: Subminor Triad 2nd inversion diff. -1.955,-1.751 E> A> C 16-25-34: Quartal Triad diff. -1.955,-3.910 E> A> D> 16-21-26-33: Subharmonic Half-diminished Seventh diff. 0.204,-0.821, 2.159 E> G Bb^ D 16-23-25-32: Major Seventh 2nd inversion diff. 2.980,-1.955, 1.025 E> Ab^ A> Db^ 16-23-32: Minor Triad 1st inversion diff. 2.980, 1.025 E> Ab^ Db^ 16-21-26: Subharmonic Diminished Triad diff. 0.204,-0.821 E> G Bb^ 16-20-24: Double Septimal Whole-Tone diff. -2.159,-4.318 E> G< A 16-18-23-25: Tartini neochromatic diff. -4.935, 2.980,-1.955 E> F] Ab^ A> 16-25-34: Quartal Trine E> A> D> 16-19-22: Sikah (Segah) E> F#v G#v 16-19-22-25: Mojahira, Iraq E> F#v G#v A> 16-18-23-25: Sedaraban, Hicaz diff. -3.459, 1.572,-1.887 E> F] Ab^ A> 16-19-22-25: Dudon Tetrachord A diff. 3.307,-2.592,-1.955 E> F#v G#v A> 16-18-23-25: Helmholtz Chromatic diff. -4.935, 2.980,-1.955 E> F] Ab^ A> 16-18-23-25: Palmer Tetrachord diff. -2.982, 1.027,-1.955 E> F] Ab^ A> 16-17-18-25: Ptolemy's Enharmonic diff. 4.717,-4.935,-1.955 E> F< F] A> 16-18-20-25: Al-Farabi's Intense Chromatic diff. -4.935,-2.159,-1.955 E> F] G< A> 16-20-24-25: Al-Farabi's Diatonic diff. -2.159,-4.318,-1.955 E> G< A A> 17-29-34: Nameless 5/7 Chord diff. 1.955, 2.159 F< C< D> 17-22-27: Diminished Triad diff. -1.025,-0.821 F< G#v B[ 17-22-27-31: Harmonic Dominant Seventh 1st inversion diff. -1.025,-0.821,-2.980 F< G#v B[ C#v 17-22-31: Neapolitan Sixth, Major Triad 1st inversion diff. -1.025,-2.980 F< G#v C#v 17-21-28-33: Harmonic Dominant Seventh 3rd inversion diff. -2.159, 0.821,-0.204 F< G Bv D 17-24-33: Subminor Triad 1st inversion diff. 1.751,-0.204 F< A D 17-24-40: BP Wide Triad 2nd inversion diff. 1.751, 2.776 F< A F#v 17-29-36: Major Quintal Trine diff. 1.955, 4.935 F< C< E[ 17-22-29: Minor Triad "m" diff. -1.025, 1.955 F< G#v C< 17-22-29-31: Major Seventh 1st inversion diff. -1.025, 1.955,-2.980 F< G#v C< C#v 17-24-29: Supermajor Triad diff. 1.751, 1.955 F< A C< 17-24-29-33: Supermajor Added Sixth diff. 1.751, 1.955,-0.204 F< A C< D 17-23-29: Neutral Triad diff. -2.592, 1.955 F< Ab^ C< 17-21-25: Double Septimal Whole-Tone diff. -2.159,-4.318 F< G A> 17-20-29: Suspended Second "sus2", Second-Fifth Chord "5/2" F< G< C< 17-29-41: Quintal Trine F< C< G< 17-29-41-59: Quintal Tetrad F< C< G< F< 17-23-29: 24-Tone Neutral Triad F< Ab^ C< 17-23-29: 31-Tone Neutral Triad diff. -1.613,-3.226 F< Ab^ C< 17-19-22-24: Huzzam diff. -3.459, 0.314,-3.145 F< F#v G#v A 17-19-22-24-29: Huzzam pentachord diff. -3.459, 0.314,-3.145, 1.887 F< F#v G#v A C< 18-27-34: Major Triad 2nd inversion diff. -1.955, 1.025 F] B[ D> 18-34-44: BP Wide Triad diff. 1.025, 0.204 F] D> Ab^ 18-23-27-34: Harmonic Dominant Seventh 2nd inversion diff. 0.204,-1.955, 1.025 F] Ab^ B[ D> 18-46-56-65: Hendrix Chord (Erlich) diff. 2.980, 2.159, 0.204 F] A> Eb^ Ab^ 18-25-37: Major Quintal Trine diff. 2.980, 4.935 F] A> E> 18-27-32: Subminor Triad 2nd inversion diff. -1.955,-1.751 F] B[ Db^ 18-27-36: Quartal Triad diff. -1.955,-3.910 F] B[ E[ 18-25-27-34: Major Seventh 2nd inversion diff. 2.980,-1.955, 1.025 F] A> B[ D> 18-25-34: Minor Triad 1st inversion diff. 2.980, 1.025 F] A> D> 18-22-26: Double Septimal Whole-Tone diff. -2.159,-4.318 F] G#v Bb^ 18-20-25-27: Tartini neochromatic diff. -4.935, 2.980,-1.955 F] G< A> B[ 18-27-36: Quartal Trine F] B[ E[ 18-21-24: Sikah (Segah) F] G A 18-21-24-27: Mojahira, Iraq F] G A B[ 18-20-25-27: Sedaraban, Hicaz diff. -3.459, 1.572,-1.887 F] G< A> B[ 18-21-24-27: Dudon Tetrachord A diff. 3.307,-2.592,-1.955 F] G A B[ 18-20-25-27: Helmholtz Chromatic diff. -4.935, 2.980,-1.955 F] G< A> B[ 18-20-25-27: Palmer Tetrachord diff. -2.982, 1.027,-1.955 F] G< A> B[ 18-19-20-27: Ptolemy's Enharmonic diff. 4.717,-4.935,-1.955 F] F#v G< B[ 18-20-22-27: Al-Farabi's Intense Chromatic diff. -4.935,-2.159,-1.955 F] G< G#v B[ 18-22-26-27: Al-Farabi's Diatonic diff. -2.159,-4.318,-1.955 F] G#v Bb^ B[ 19-31-36: Nameless 5/7 Chord diff. 1.955, 2.159 F#v C#v E[ 19-24-29: Diminished Triad diff. -1.025,-0.821 F#v A C< 19-24-29-33: Harmonic Dominant Seventh 1st inversion diff. -1.025,-0.821,-2.980 F#v A C< D 19-24-33: Neapolitan Sixth, Major Triad 1st inversion diff. -1.025,-2.980 F#v A D 19-23-30-35: Harmonic Dominant Seventh 3rd inversion diff. -2.159, 0.821,-0.204 F#v Ab^ C Eb^ 19-26-35: Subminor Triad 1st inversion diff. 1.751,-0.204 F#v Bb^ Eb^ 19-26-42: BP Wide Triad 2nd inversion diff. 1.751, 2.776 F#v Bb^ G 19-31-38: Major Quintal Trine diff. 1.955, 4.935 F#v C#v F< 19-24-31: Minor Triad "m" diff. -1.025, 1.955 F#v A C#v 19-24-31-33: Major Seventh 1st inversion diff. -1.025, 1.955,-2.980 F#v A C#v D 19-26-31: Supermajor Triad diff. 1.751, 1.955 F#v Bb^ C#v 19-26-31-35: Supermajor Added Sixth diff. 1.751, 1.955,-0.204 F#v Bb^ C#v Eb^ 19-21-28-33: Major Seventh 3rd inversion diff. -4.935,-1.955,-2.980 F#v G Bv D 19-24-28-33: Third-Fourth Chord "4/3", Minor Seventh 2nd inversion diff. -1.025,-1.955,-2.980 F#v A Bv D 19-28-33: Minor Triad 2nd inversion diff. -1.955,-2.980 F#v Bv D 19-25-31: Neutral Triad diff. -2.592, 1.955 F#v A> C#v 19-23-27: Double Septimal Whole-Tone diff. -2.159,-4.318 F#v Ab^ B[ 19-22-28-31: Second-Fourth-Fifth Chord "5/4/2" F#v G#v Bv C#v 19-22-31: Suspended Second "sus2", Second-Fifth Chord "5/2" F#v G#v C#v 19-28-31: Suspended Fourth "sus4" F#v Bv C#v 19-28-31-43: Fourth-Ninth Chord "9/4" "sus4add9" F#v Bv C#v G#v 19-31-43: Quintal Trine F#v C#v G#v 19-31-43-61: Quintal Tetrad F#v C#v G#v F#v 19-22-25-28: Rast, Nagdi, Neutral Diatonic, Islamic Diatonic F#v G#v A> Bv 19-25-31: 24-Tone Neutral Triad F#v A> C#v 19-25-31: 31-Tone Neutral Triad diff. -1.613,-3.226 F#v A> C#v 19-21-24-26: Huzzam diff. -3.459, 0.314,-3.145 F#v G A Bb^ 19-21-24-26-31: Huzzam pentachord diff. -3.459, 0.314,-3.145, 1.887 F#v G A Bb^ C#v 19-21-24-28: Iraq, Segah diff. -3.459, 0.314,-1.887 F#v G A Bv 19-21-24-28-31: Segah pentachord diff. -3.459, 0.314,-1.887, 1.887 F#v G A Bv C#v 19-22-24-28: Mustear diff. 3.774, 0.314,-1.887 F#v G#v A Bv 19-22-24-28-31: Mustear pentachord diff. 3.774, 0.314,-1.887, 1.887 F#v G#v A Bv C#v 19-22-25-28: Modern Rast diff. 3.910, 4.547,-1.955 F#v G#v A> Bv 19-20-23-28: Ptolemy's Intense Chromatic diff. -2.796,-2.159,-1.955 F#v G< Ab^ Bv 19-21-24-28: Ptolemy's Diatonon Syntonon, Intense Diatonic diff. -4.935,-1.025,-1.955 F#v G A Bv 19-21-23-28: Al-Farabi's Intense Chromatic diff. -4.935,-2.159,-1.955 F#v G Ab^ Bv 19-23-27-28: Al-Farabi's Diatonic diff. -2.159,-4.318,-1.955 F#v Ab^ B[ Bv 19-20-21-28: Pachymeres/Tartini Enharmonic diff. 1.134,-4.935,-1.955 F#v G< G Bv 19-20-22-28: Perrett's Chromatic diff. 1.134, 3.910,-1.955 F#v G< G#v Bv 20-29-36: Major Triad 2nd inversion diff. -1.955, 1.025 G< C< E[ 20-36-46: BP Wide Triad diff. 1.025, 0.204 G< E[ A> 20-25-29-36: Harmonic Dominant Seventh 2nd inversion diff. 0.204,-1.955, 1.025 G< A> C< E[ 20-48-58-67: Hendrix Chord (Erlich) diff. 2.980, 2.159, 0.204 G< B[ E> A> 20-27-39: Major Quintal Trine diff. 2.980, 4.935 G< B[ F] 20-29-34: Subminor Triad 2nd inversion diff. -1.955,-1.751 G< C< D> 20-29-38: Quartal Triad diff. -1.955,-3.910 G< C< F< 20-27-29-36: Major Seventh 2nd inversion diff. 2.980,-1.955, 1.025 G< B[ C< E[ 20-27-36: Minor Triad 1st inversion diff. 2.980, 1.025 G< B[ E[ 20-22-27-29: Tartini neochromatic diff. -4.935, 2.980,-1.955 G< G#v B[ C< 20-29-38: Quartal Trine G< C< F< 20-23-26: Sikah (Segah) G< Ab^ Bb^ 20-23-26-29: Mojahira, Iraq G< Ab^ Bb^ C< 20-22-27-29: Sedaraban, Hicaz diff. -3.459, 1.572,-1.887 G< G#v B[ C< 20-23-26-29: Dudon Tetrachord A diff. 3.307,-2.592,-1.955 G< Ab^ Bb^ C< 20-22-27-29: Helmholtz Chromatic diff. -4.935, 2.980,-1.955 G< G#v B[ C< 20-22-27-29: Palmer Tetrachord diff. -2.982, 1.027,-1.955 G< G#v B[ C< 20-21-22-29: Ptolemy's Enharmonic diff. 4.717,-4.935,-1.955 G< G G#v C< 20-22-24-29: Al-Farabi's Intense Chromatic diff. -4.935,-2.159,-1.955 G< G#v A C< Total of 615