Chord Type: 0 11

Chord Type Fun Facts

0 11
• Subset of Diminished Scale (0 2 3 5 6 8 9 11)
• Subset of Augmented Scale (0 3 4 7 8 11)
• Subset of Ionian Mode (0 2 4 5 7 9 11)
• Subset of Lydian Mode (0 2 4 6 7 9 11)
• Subset of Harmonic Minor (0 2 3 5 7 8 11)
• Subset of Melodic Minor (0 2 3 5 7 9 11)

Modal System Fun Facts

0 1
• Subset of Diminished Scale
• Subset of Augmented Scale
• Subset of Diatonic Modal System
• Subset of Harmonic Minor Modal System
• Subset of Melodic Minor Modal System
• Inversionally Symmetrical
• Subset of Dorian Blues Scale
• Melodic adjacency = 1 (maximum).
• Subset of Harmonic Major Modal System

Diachromatic Family:             7ths / 14ths (Scale Degrees: 17)
• 1.   0 10 = aug. 6th, min. 7th, aug. 13th
  2. ->0 11 = maj. 7th, maj. 14th

All Transpositions of Chord Type:
• +0= 0 11 |major 7th = major 14th = diminished octave
  +1= 0  1 |semitone = augmented unison = minor 2nd = minor 9th
  +2=  1  2 |
  +3=  2  3 |
  +4=  3  4 |
  +5=  4  5 |
  +6=  5  6 |
  +7=  6  7 |
  +8=  7  8 |
  +9=  8  9 |
  +10=  9 10 |
  +11= 10 11 |
  

Modes of Chord Type:
• (mode 0) 0:  0 11 | major 7th = major 14th = diminished octave          
  (mode 1) 11: 0  1 | semitone = augmented unison = minor 2nd = minor 9th
  

Modes of Chord Type Sorted by Rootedness:
•   1.050(mode 0)0:0 11 |major 7th = major 14th = diminished octave
     .950(mode 1)11:0  1 |semitone = augmented unison = minor 2nd = minor 9th
  

Inversion at 0:               0 1
• (mode 0) 0: 0  1 | semitone = augmented unison = minor 2nd = minor 9th
  (mode 1) 1: 0 11 | major 7th = major 14th = diminished octave          
  

Times 7:                      0 5
• (mode 0) 0: 0 5 | perfect 4th = perfect 11th = augmented third = 2-note 4ths stack
  (mode 1) 5: 0 7 | perfect 5th = perfect 12th = diminished 6th = 2-note 5ths stack  
  

Times 5:                      0 7
• (mode 0) 0: 0 7 | perfect 5th = perfect 12th = diminished 6th = 2-note 5ths stack  
  (mode 1) 7: 0 5 | perfect 4th = perfect 11th = augmented third = 2-note 4ths stack
  

Modes of Modal System:
• (mode 0) 0: 0  1 | semitone = augmented unison = minor 2nd = minor 9th
  (mode 1) 1: 0 11 | major 7th = major 14th = diminished octave          
  

Complement:                    1 2 3 4 5 6 7 8 9 10
• (mode 0) 1:  0 1 2 3 4 5 6 7  8  9 | 1st 10 notes of chromatic scale
  (mode 1) 2:  0 1 2 3 4 5 6 7  8 11 |                                
  (mode 2) 3:  0 1 2 3 4 5 6 7 10 11 |                                
  (mode 3) 4:  0 1 2 3 4 5 6 9 10 11 |                                
  (mode 4) 5:  0 1 2 3 4 5 8 9 10 11 |                                
  (mode 5) 6:  0 1 2 3 4 7 8 9 10 11 |                                
  (mode 6) 7:  0 1 2 3 6 7 8 9 10 11 |                                
  (mode 7) 8:  0 1 2 5 6 7 8 9 10 11 |                                
  (mode 8) 9:  0 1 4 5 6 7 8 9 10 11 |                                
  (mode 9) 10: 0 3 4 5 6 7 8 9 10 11 |                                
  

All but the root (subchroma complement of 0): 11
• (mode 0) 11: 0 | root = unison = diminished second = octave = augmented seventh
  

• JCS Wiki Page for This Chord Type
• No content as of 2022-5-9.
• 
  
• This Chord Type, All Keys -- Notation: (Staff, Treble Clef) Audio: (.mp3)
• 
  
• 
  https://en.wikipedia.org/wiki/Interval_(music)
  Diminished octave - Wikipedia
  

• Dechromaticised: N/A
• Dechromaticised but Keep 0       N/A
• Dechromaticised but Keep 0 7     N/A
• Dechromaticised but Keep 0 3 4 7     N/A
• 
  
• Alt-Dechromaticised: N/A
• Alt-Dechromaticised but Keep 0       N/A
• Alt-Dechromaticised but Keep 0 7     N/A
• Alt-Dechromaticised but Keep 0 3 4 7     N/A

• chromaticized:
  • N/A
• chromaticized keep 0:
  • N/A
• chromaticized keep 0 7:
  • N/A
• chromaticized keep 0 3 4 7:
  • N/A
• 
  
• alt-chromaticized:
  • • • (mode 0) 0: 0 2 4 7 9 11 | M13 no 11th = Guidonian hexachord = 6-note 5ths stack
      • (mode 1) 2: 0 2 5 7 9 10 |
      • (mode 2) 4: 0 3 5 7 8 10 | m7b13 no 9th
      • (mode 3) 7: 0 2 4 5 7 9 | type C all-combinatorial hexachord prime form
      • (mode 4) 9: 0 2 3 5 7 10 | m11
      • (mode 5) 11: 0 1 3 5 8 10 |
      • 
        
    • • (mode 0) 0: 0 1 3 5 6 8 10 11 |
      • (mode 1) 1: 0 2 4 5 7 9 10 11 | bebop dominant = iomixolydian
      • (mode 2) 3: 0 2 3 5 7 8 9 10 | aeodorian scale
      • (mode 3) 5: 0 1 3 5 6 7 8 10 |
      • (mode 4) 6: 0 2 4 5 6 7 9 11 | iolydian scale
      • (mode 5) 8: 0 2 3 4 5 7 9 10 | Bebop Dorian scale = mixodorian scale
      • (mode 6) 10: 0 1 2 3 5 7 8 10 | aeophrygian scale
      • (mode 7) 11: 0 1 2 4 6 7 9 11 | 8-note 5ths stack
      • 
        
• alt-chromaticized keep 0:
  • • • (mode 0) 0: 0 2 4 7 9 11 | M13 no 11th = Guidonian hexachord = 6-note 5ths stack
      • (mode 1) 2: 0 2 5 7 9 10 |
      • (mode 2) 4: 0 3 5 7 8 10 | m7b13 no 9th
      • (mode 3) 7: 0 2 4 5 7 9 | type C all-combinatorial hexachord prime form
      • (mode 4) 9: 0 2 3 5 7 10 | m11
      • (mode 5) 11: 0 1 3 5 8 10 |
      • 
        
    • • (mode 0) 0: 0 1 3 5 6 8 10 11 |
      • (mode 1) 1: 0 2 4 5 7 9 10 11 | bebop dominant = iomixolydian
      • (mode 2) 3: 0 2 3 5 7 8 9 10 | aeodorian scale
      • (mode 3) 5: 0 1 3 5 6 7 8 10 |
      • (mode 4) 6: 0 2 4 5 6 7 9 11 | iolydian scale
      • (mode 5) 8: 0 2 3 4 5 7 9 10 | Bebop Dorian scale = mixodorian scale
      • (mode 6) 10: 0 1 2 3 5 7 8 10 | aeophrygian scale
      • (mode 7) 11: 0 1 2 4 6 7 9 11 | 8-note 5ths stack
      • 
        
• alt-chromaticized keep 0 7:
  • N/A
• alt-chromaticized keep 0 3 4 7:
  • N/A

• order	origin	root set	chord type (as pcset)
  1	0	0	0 11 = 0: 0 11 = 11: 0 1
  1	11	11	0 1 = 0: 0 1 = 1: 0 11

• order	pcset
  1	0 11 = 0: 0 11 = 11: 0 1
  2	0 6 7 11 = 0: 0 6 7 11 = 6: 0 1 5 6 = 7: 0 4 5 11 = 11: 0 1 7 8
  3	0 1 2 6 7 11 = 0: 0 1 2 6 7 11 = 1: 0 1 5 6 10 11 = 2: 0 4 5 9 10 11 = 6: 0 1 5 6 7 8 = 7: 0 4 5 6 7 11 = 11: 0 1 2 3 7 8
  4	0 1 2 6 7 8 9 11 = 0: 0 1 2 6 7 8 9 11 = 1: 0 1 5 6 7 8 10 11 = 2: 0 4 5 6 7 9 10 11 = 6: 0 1 2 3 5 6 7 8 = 7: 0 1 2 4 5 6 7 11 = 8: 0 1 3 4 5 6 10 11 = 9: 0 2 3 4 5 9 10 11 = 11: 0 1 2 3 7 8 9 10
  5	0 1 2 3 4 6 7 8 9 11 = 0: 0 1 2 3 4 6 7 8 9 11 = 1: 0 1 2 3 5 6 7 8 10 11 = 2: 0 1 2 4 5 6 7 9 10 11 = 3: 0 1 3 4 5 6 8 9 10 11 = 4: 0 2 3 4 5 7 8 9 10 11 = 6: 0 1 2 3 5 6 7 8 9 10 = 7: 0 1 2 4 5 6 7 8 9 11 = 8: 0 1 3 4 5 6 7 8 10 11 = 9: 0 2 3 4 5 6 7 9 10 11 = 11: 0 1 2 3 4 5 7 8 9 10
  6	0 1 2 3 4 6 7 8 9 10 11 = 0: 0 1 2 3 4 6 7 8 9 10 11 = 1: 0 1 2 3 5 6 7 8 9 10 11 = 2: 0 1 2 4 5 6 7 8 9 10 11 = 3: 0 1 3 4 5 6 7 8 9 10 11 = 4: 0 2 3 4 5 6 7 8 9 10 11 = 6: 0 1 2 3 4 5 6 7 8 9 10 = 7: 0 1 2 3 4 5 6 7 8 9 11 = 8: 0 1 2 3 4 5 6 7 8 10 11 = 9: 0 1 2 3 4 5 6 7 9 10 11 = 10: 0 1 2 3 4 5 6 8 9 10 11 = 11: 0 1 2 3 4 5 7 8 9 10 11
  7	0 1 2 3 4 5 6 7 8 9 10 11 = 0: 0 1 2 3 4 5 6 7 8 9 10 11 = 1: 0 1 2 3 4 5 6 7 8 9 10 11 = 2: 0 1 2 3 4 5 6 7 8 9 10 11 = 3: 0 1 2 3 4 5 6 7 8 9 10 11 = 4: 0 1 2 3 4 5 6 7 8 9 10 11 = 5: 0 1 2 3 4 5 6 7 8 9 10 11 = 6: 0 1 2 3 4 5 6 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 7 8 9 10 11 = 8: 0 1 2 3 4 5 6 7 8 9 10 11 = 9: 0 1 2 3 4 5 6 7 8 9 10 11 = 10: 0 1 2 3 4 5 6 7 8 9 10 11 = 11: 0 1 2 3 4 5 6 7 8 9 10 11

• Subchroma Modal Systems of 0 11
  
  subchroma modal system: 0
     0 =  0 =  0:  0
    11 = 11 = 11:  0
  
  subchroma modal system: 0 1
     0 11 =  0 11 = 11:  0  1     0:  0 11
    11  0 =  0 11 = 11:  0  1     0:  0 11
  

• 0 :0 11
  
  0 11:0
  
  11 :0 1
  
  

• 0 :0 11
  0 :0 2 11
  0 :0 3 11
  0 :0 4 11
  0 :0 7 11
  0 :0 2 4 11
  0 :0 2 7 11
  0 :0 2 9 11
  0 :0 3 5 11
  0 :0 3 6 11
  0 :0 3 7 11
  0 :0 4 6 11
  0 :0 4 7 11
  0 :0 4 8 11
  0 :0 3 9 11
  0 :0 4 9 11
  0 :0 5 7 11
  0 :0 7 9 11
  0 :0 2 4 6 11
  0 :0 2 4 7 11
  0 :0 2 4 8 11
  0 :0 2 4 9 11
  0 :0 2 5 7 11
  0 :0 2 7 9 11
  0 :0 3 5 7 11
  0 :0 3 7 9 11
  0 :0 4 7 9 11
  0 :0 5 7 9 11
  0 :0 2 4 7 9 11
  0 :0 2 5 7 9 11
  0 :0 3 5 7 9 11
  
  0 1 :0 10 11
  0 1 :0 2 10 11
  0 1 :0 3 10 11
  0 1 :0 4 10 11
  0 1 :0 5 10 11
  0 1 :0 7 10 11
  0 1 :0 2 4 10 11
  0 1 :0 2 7 10 11
  0 1 :0 3 6 10 11
  0 1 :0 3 7 10 11
  0 1 :0 4 6 10 11
  0 1 :0 4 7 10 11
  0 1 :0 4 8 10 11
  0 1 :0 5 7 10 11
  0 1 :0 2 4 7 10 11
  0 1 :0 2 4 8 10 11
  0 1 :0 2 5 7 10 11
  0 1 :0 3 5 7 10 11
  0 1 :0 2 4 6 8 10 11
  
  0 1 2 :0 9 10 11
  0 1 2 :0 2 9 10 11
  0 1 2 :0 3 9 10 11
  0 1 2 :0 4 9 10 11
  0 1 2 :0 7 9 10 11
  0 1 2 :0 2 4 9 10 11
  0 1 2 :0 2 7 9 10 11
  0 1 2 :0 3 7 9 10 11
  0 1 2 :0 4 6 9 10 11
  0 1 2 :0 4 7 9 10 11
  0 1 2 :0 5 7 9 10 11
  0 1 2 :0 2 4 7 9 10 11
  0 1 2 :0 2 5 7 9 10 11
  0 1 2 :0 3 5 7 9 10 11
  
  0 1 2 3 :0 8 9 10 11
  0 1 2 3 :0 4 8 9 10 11
  
  0 1 2 3 4 :0 7 8 9 10 11
  0 1 2 3 4 :0 2 7 8 9 10 11
  0 1 2 3 4 :0 3 7 8 9 10 11
  0 1 2 3 4 :0 4 7 8 9 10 11
  0 1 2 3 4 :0 5 7 8 9 10 11
  0 1 2 3 4 :0 2 4 7 8 9 10 11
  0 1 2 3 4 :0 2 5 7 8 9 10 11
  0 1 2 3 4 :0 3 5 7 8 9 10 11
  
  0 1 2 3 4 5 :0 6 7 8 9 10 11
  0 1 2 3 4 5 :0 2 6 7 8 9 10 11
  0 1 2 3 4 5 :0 3 6 7 8 9 10 11
  0 1 2 3 4 5 :0 4 6 7 8 9 10 11
  0 1 2 3 4 5 :0 2 4 6 7 8 9 10 11
  
  0 1 2 3 4 5 6 :0 3 5 6 7 8 9 10 11
  
  0 1 2 3 4 5 6 7 :0 4 5 6 7 8 9 10 11
  0 1 2 3 4 5 6 7 :0 2 4 5 6 7 8 9 10 11
  
  0 1 2 3 4 5 6 7 8 :0 3 4 5 6 7 8 9 10 11
  
  0 1 2 3 4 5 6 7 8 9 :0 2 3 4 5 6 7 8 9 10 11
  
  0 1 2 3 4 5 6 7 8 9 10 11:0 1 2 3 4 5 6 7 8 9 10 11
  
  0 1 2 3 4 5 6 7 8 11 :0 1 3 4 5 6 7 8 9 10 11
  
  0 1 2 3 4 5 6 7 10 11 :0 1 2 4 5 6 7 8 9 10 11
  
  0 1 2 3 4 5 6 7 11 :0 1 4 5 6 7 8 9 10 11
  
  0 1 2 3 4 5 6 9 :0 2 3 5 6 7 8 9 10 11
  
  0 1 2 3 4 5 6 9 10 11 :0 1 2 3 5 6 7 8 9 10 11
  
  0 1 2 3 4 5 6 10 11 :0 1 2 5 6 7 8 9 10 11
  
  0 1 2 3 4 5 6 11 :0 1 3 5 6 7 8 9 10 11
  
  0 1 2 3 4 5 8 :0 3 4 6 7 8 9 10 11
  
  0 1 2 3 4 5 8 9 :0 2 3 4 6 7 8 9 10 11
  
  0 1 2 3 4 5 8 9 10 11 :0 1 2 3 4 6 7 8 9 10 11
  
  0 1 2 3 4 5 8 11 :0 1 3 4 6 7 8 9 10 11
  
  0 1 2 3 4 5 9 :0 2 3 6 7 8 9 10 11
  
  0 1 2 3 4 5 9 10 11 :0 1 2 3 6 7 8 9 10 11
  
  0 1 2 3 4 5 10 11 :0 1 2 6 7 8 9 10 11
  0 1 2 3 4 5 10 11 :0 1 2 4 6 7 8 9 10 11
  
  0 1 2 3 4 5 11 :0 1 6 7 8 9 10 11
  0 1 2 3 4 5 11 :0 1 3 6 7 8 9 10 11
  0 1 2 3 4 5 11 :0 1 4 6 7 8 9 10 11
  
  0 1 2 3 4 7 :0 4 5 7 8 9 10 11
  0 1 2 3 4 7 :0 2 4 5 7 8 9 10 11
  
  0 1 2 3 4 7 8 :0 3 4 5 7 8 9 10 11
  
  0 1 2 3 4 7 8 9 :0 2 3 4 5 7 8 9 10 11
  
  0 1 2 3 4 7 8 9 10 11 :0 1 2 3 4 5 7 8 9 10 11
  
  0 1 2 3 4 7 8 11 :0 1 3 4 5 7 8 9 10 11
  
  0 1 2 3 4 7 10 11 :0 1 2 4 5 7 8 9 10 11
  
  0 1 2 3 4 7 11 :0 1 4 5 7 8 9 10 11
  
  0 1 2 3 4 8 :0 3 4 7 8 9 10 11
  
  0 1 2 3 4 8 9 :0 2 3 4 7 8 9 10 11
  
  0 1 2 3 4 8 9 10 11 :0 1 2 3 4 7 8 9 10 11
  
  0 1 2 3 4 8 11 :0 1 3 4 7 8 9 10 11
  
  0 1 2 3 4 9 :0 2 3 7 8 9 10 11
  0 1 2 3 4 9 :0 2 3 5 7 8 9 10 11
  
  0 1 2 3 4 9 10 11 :0 1 2 3 7 8 9 10 11
  0 1 2 3 4 9 10 11 :0 1 2 3 5 7 8 9 10 11
  
  0 1 2 3 4 10 11 :0 1 2 7 8 9 10 11
  0 1 2 3 4 10 11 :0 1 2 5 7 8 9 10 11
  0 1 2 3 4 10 11 :0 1 2 4 7 8 9 10 11
  
  0 1 2 3 4 11 :0 1 7 8 9 10 11
  0 1 2 3 4 11 :0 1 3 7 8 9 10 11
  0 1 2 3 4 11 :0 1 4 7 8 9 10 11
  0 1 2 3 4 11 :0 1 5 7 8 9 10 11
  0 1 2 3 4 11 :0 1 3 5 7 8 9 10 11
  
  0 1 2 3 6 7 8 9 :0 2 3 4 5 6 8 9 10 11
  
  0 1 2 3 6 7 8 9 10 11 :0 1 2 3 4 5 6 8 9 10 11
  
  0 1 2 3 6 7 8 11 :0 1 3 4 5 6 8 9 10 11
  
  0 1 2 3 6 7 10 11 :0 1 2 4 5 6 8 9 10 11
  
  0 1 2 3 6 9 :0 2 3 5 6 8 9 10 11
  
  0 1 2 3 6 9 10 11 :0 1 2 3 5 6 8 9 10 11
  
  0 1 2 3 7 8 9 10 11 :0 1 2 3 4 5 8 9 10 11
  
  0 1 2 3 8 :0 3 4 8 9 10 11
  
  0 1 2 3 8 9 :0 2 3 4 8 9 10 11
  
  0 1 2 3 8 9 10 11 :0 1 2 3 4 6 8 9 10 11
  
  0 1 2 3 8 11 :0 1 3 4 8 9 10 11
  
  0 1 2 3 9 :0 2 3 5 8 9 10 11
  
  0 1 2 5 :0 6 7 9 10 11
  0 1 2 5 :0 2 6 7 9 10 11
  0 1 2 5 :0 3 6 7 9 10 11
  0 1 2 5 :0 4 6 7 9 10 11
  0 1 2 5 :0 2 4 6 7 9 10 11
  
  0 1 2 5 6 :0 5 6 7 9 10 11
  0 1 2 5 6 :0 2 5 6 7 9 10 11
  0 1 2 5 6 :0 3 5 6 7 9 10 11
  
  0 1 2 5 6 7 :0 4 5 6 7 9 10 11
  0 1 2 5 6 7 :0 2 4 5 6 7 9 10 11
  
  0 1 2 5 6 7 8 :0 3 4 5 6 7 9 10 11
  
  0 1 2 5 6 7 8 9 :0 2 3 4 5 6 7 9 10 11
  
  0 1 2 5 6 7 8 9 10 11 :0 1 2 3 4 5 6 7 9 10 11
  
  0 1 2 5 6 7 8 11 :0 1 3 4 5 6 7 9 10 11
  
  0 1 2 5 6 7 10 11 :0 1 2 4 5 6 7 9 10 11
  
  0 1 2 5 6 7 11 :0 1 4 5 6 7 9 10 11
  
  0 1 2 5 6 9 :0 2 3 5 6 7 9 10 11
  
  0 1 2 5 6 9 10 11 :0 1 2 3 5 6 7 9 10 11
  
  0 1 2 5 6 11 :0 1 5 6 7 9 10 11
  0 1 2 5 6 11 :0 1 3 5 6 7 9 10 11
  
  0 1 2 5 8 :0 3 4 6 7 9 10 11
  
  0 1 2 5 8 9 :0 2 3 4 6 7 9 10 11
  
  0 1 2 5 8 9 10 11 :0 1 2 3 4 6 7 9 10 11
  
  0 1 2 5 8 11 :0 1 3 4 6 7 9 10 11
  
  0 1 2 5 9 :0 2 3 6 7 9 10 11
  
  0 1 2 5 9 10 11 :0 1 2 3 6 7 9 10 11
  
  0 1 2 5 10 11 :0 1 2 6 7 9 10 11
  0 1 2 5 10 11 :0 1 2 4 6 7 9 10 11
  
  0 1 2 5 11 :0 1 6 7 9 10 11
  0 1 2 5 11 :0 1 3 6 7 9 10 11
  0 1 2 5 11 :0 1 4 6 7 9 10 11
  
  0 1 2 6 7 :0 4 5 6 9 10 11
  0 1 2 6 7 :0 2 4 5 6 9 10 11
  
  0 1 2 6 7 8 :0 3 4 5 6 9 10 11
  
  0 1 2 6 7 8 9 :0 2 3 4 5 6 9 10 11
  
  0 1 2 6 7 8 9 10 11 :0 1 2 3 4 5 6 9 10 11
  
  0 1 2 6 11 :0 1 3 5 6 9 10 11
  
  0 1 2 7 :0 4 5 7 9 10 11
  0 1 2 7 :0 2 4 5 7 9 10 11
  
  0 1 2 7 8 :0 3 4 5 9 10 11
  0 1 2 7 8 :0 3 4 5 7 9 10 11
  
  0 1 2 7 8 9 :0 2 3 4 5 7 9 10 11
  
  0 1 2 7 8 9 10 11 :0 1 2 3 4 5 7 9 10 11
  
  0 1 2 7 8 11 :0 1 3 4 5 9 10 11
  0 1 2 7 8 11 :0 1 3 4 5 7 9 10 11
  
  0 1 2 7 10 11 :0 1 2 4 5 7 9 10 11
  
  0 1 2 7 11 :0 1 4 5 7 9 10 11
  
  0 1 2 8 :0 3 4 9 10 11
  0 1 2 8 :0 3 4 6 9 10 11
  0 1 2 8 :0 3 4 7 9 10 11
  
  0 1 2 8 9 :0 2 3 4 9 10 11
  0 1 2 8 9 :0 2 3 4 6 9 10 11
  0 1 2 8 9 :0 2 3 4 7 9 10 11
  
  0 1 2 8 9 10 11 :0 1 2 3 4 9 10 11
  0 1 2 8 9 10 11 :0 1 2 3 4 7 9 10 11
  
  0 1 2 8 11 :0 1 3 4 9 10 11
  0 1 2 8 11 :0 1 3 4 6 9 10 11
  0 1 2 8 11 :0 1 3 4 7 9 10 11
  
  0 1 2 9 :0 2 3 9 10 11
  0 1 2 9 :0 2 3 5 9 10 11
  0 1 2 9 :0 2 3 6 9 10 11
  0 1 2 9 :0 2 3 7 9 10 11
  0 1 2 9 :0 2 3 5 7 9 10 11
  
  0 1 2 9 10 11 :0 1 2 3 7 9 10 11
  0 1 2 9 10 11 :0 1 2 3 5 7 9 10 11
  
  0 1 2 10 11 :0 1 2 4 9 10 11
  0 1 2 10 11 :0 1 2 7 9 10 11
  0 1 2 10 11 :0 1 2 4 7 9 10 11
  0 1 2 10 11 :0 1 2 5 7 9 10 11
  
  0 1 2 11 :0 1 3 9 10 11
  0 1 2 11 :0 1 4 9 10 11
  0 1 2 11 :0 1 7 9 10 11
  0 1 2 11 :0 1 3 7 9 10 11
  0 1 2 11 :0 1 4 7 9 10 11
  0 1 2 11 :0 1 5 7 9 10 11
  0 1 2 11 :0 1 3 5 7 9 10 11
  
  0 1 4 :0 7 8 10 11
  0 1 4 :0 2 7 8 10 11
  0 1 4 :0 3 7 8 10 11
  0 1 4 :0 4 7 8 10 11
  0 1 4 :0 5 7 8 10 11
  0 1 4 :0 2 4 7 8 10 11
  0 1 4 :0 2 5 7 8 10 11
  0 1 4 :0 3 5 7 8 10 11
  
  0 1 4 5 :0 6 7 8 10 11
  0 1 4 5 :0 2 6 7 8 10 11
  0 1 4 5 :0 3 6 7 8 10 11
  0 1 4 5 :0 4 6 7 8 10 11
  0 1 4 5 :0 2 4 6 7 8 10 11
  
  0 1 4 5 6 :0 2 5 6 7 8 10 11
  0 1 4 5 6 :0 3 5 6 7 8 10 11
  
  0 1 4 5 6 7 :0 4 5 6 7 8 10 11
  0 1 4 5 6 7 :0 2 4 5 6 7 8 10 11
  
  0 1 4 5 6 7 8 :0 3 4 5 6 7 8 10 11
  
  0 1 4 5 6 7 8 9 :0 2 3 4 5 6 7 8 10 11
  
  0 1 4 5 6 7 8 9 10 11 :0 1 2 3 4 5 6 7 8 10 11
  
  0 1 4 5 6 7 8 11 :0 1 3 4 5 6 7 8 10 11
  
  0 1 4 5 6 7 10 11 :0 1 2 4 5 6 7 8 10 11
  
  0 1 4 5 6 7 11 :0 1 4 5 6 7 8 10 11
  
  0 1 4 5 6 9 :0 2 3 5 6 7 8 10 11
  
  0 1 4 5 6 9 10 11 :0 1 2 3 5 6 7 8 10 11
  
  0 1 4 5 8 :0 3 4 6 7 8 10 11
  
  0 1 4 5 8 9 :0 2 3 4 6 7 8 10 11
  
  0 1 4 5 8 9 10 11 :0 1 2 3 4 6 7 8 10 11
  
  0 1 4 5 8 11 :0 1 3 4 6 7 8 10 11
  
  0 1 4 5 9 :0 2 3 6 7 8 10 11
  
  0 1 4 5 9 10 11 :0 1 2 3 6 7 8 10 11
  
  0 1 4 5 10 11 :0 1 2 6 7 8 10 11
  0 1 4 5 10 11 :0 1 2 4 6 7 8 10 11
  
  0 1 4 5 11 :0 1 6 7 8 10 11
  0 1 4 5 11 :0 1 3 6 7 8 10 11
  0 1 4 5 11 :0 1 4 6 7 8 10 11
  
  0 1 4 7 :0 4 5 7 8 10 11
  0 1 4 7 :0 2 4 5 7 8 10 11
  
  0 1 4 7 8 :0 3 4 5 7 8 10 11
  
  0 1 4 7 8 9 :0 2 3 4 5 7 8 10 11
  
  0 1 4 7 8 9 10 11 :0 1 2 3 4 5 7 8 10 11
  
  0 1 4 7 8 11 :0 1 3 4 5 7 8 10 11
  
  0 1 4 7 10 11 :0 1 2 4 5 7 8 10 11
  
  0 1 4 7 11 :0 1 4 5 7 8 10 11