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| Line 278: |
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| <nowiki/>* [[Normal forms|Octave-reduced form]], reduced to the first half-octave, and [[normal forms|minimal form]] in parentheses if distinct | | <nowiki/>* [[Normal forms|Octave-reduced form]], reduced to the first half-octave, and [[normal forms|minimal form]] in parentheses if distinct |
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| == Commas of the 2.3.5.7 subgroup tempered out in 171edo patent val ==
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|
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| Commas with numerator <= 2^40:
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|
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| {| class="wikitable mw-collapsible mw-collapsed sortable"
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| ! [[Ratio]]
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| ! [[Monzo]]
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| ! [[Cent]]s
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| |-
| |
| | [[2401/2400]]
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| | [-5 -1 -2 4⟩
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| | 0.72
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| |-
| |
| | [[4375/4374]]
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| | [-1 -7 4 1⟩
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| | 0.40
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| |-
| |
| | [[32805/32768]]
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| | [-15 8 1⟩
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| | 1.95
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| |-
| |
| | [[65625/65536]]
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| | [-16 1 5 1⟩
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| | 2.35
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| |-
| |
| | [[250047/250000]]
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| | [-4 6 -6 3⟩
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| | 0.33
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| |-
| |
| | [[420175/419904]]
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| | [-6 -8 2 5⟩
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| | 1.12
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| |-
| |
| | [[703125/702464]]
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| | [-11 2 7 -3⟩
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| | 1.63
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| |-
| |
| | [[2100875/2097152]]
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| | [-21 0 3 5⟩
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| | 3.07
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| |-
| |
| | [[2460375/2458624]]
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| | [-10 9 3 -4⟩
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| | 1.23
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| |-
| |
| | [[5250987/5242880]]
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| | [-20 7 -1 4⟩
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| | 2.67
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| |-
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| | [[5764801/5760000]]
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| | [-10 -2 -4 8⟩
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| | 1.44
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| |-
| |
| | [[14348907/14336000]]
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| | [-14 15 -3 -1⟩
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| | 1.56
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| |-
| |
| | [[19140625/19131876]]
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| | [-2 -14 8 2⟩
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| | 0.79
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| |-
| |
| | [[40353607/40310784]]
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| | [-11 -9 0 9⟩
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| | 1.84
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| |-
| |
| | [[43046721/43025920]]
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| | [-9 16 -1 -5⟩
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| | 0.84
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| |-
| |
| | [[48828125/48771072]]
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| | [-12 -5 11 -2⟩
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| | 2.02
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| |-
| |
| | [[52734375/52706752]]
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| | [-6 3 9 -7⟩
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| | 0.91
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| |-
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| | [[78125000/78121827]]
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| | [3 -13 10 -2⟩
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| | 0.07
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| |-
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| | [[95703125/95551488]]
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| | [-17 -6 9 2⟩
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| | 2.75
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| |-
| |
| | [[184528125/184473632]]
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| | [-5 10 5 -8⟩
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| | 0.51
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| |-
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| | [[200120949/200000000]]
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| | [-9 5 -8 7⟩
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| | 1.05
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| |-
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| | [[201768035/201326592]]
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| | [-26 -1 1 9⟩
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| | 3.79
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| |-
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| | [[645700815/645657712]]
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| | [-4 17 1 -9⟩
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| | 0.12
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| |-
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| | [[1076168025/1073741824]]
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| | [-30 16 2⟩
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| | 3.91
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| |-
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| | [[1220703125/1219784832]]
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| | [-7 -4 13 -6⟩
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| | 1.30
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| |-
| |
| | [[1640558367/1638400000]]
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| | [-19 14 -5 3⟩
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| | 2.28
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| |-
| |
| | [[1838265625/1836660096]]
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| | [-7 -15 6 6⟩
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| | 1.51
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| |-
| |
| | [[2152828125/2147483648]]
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| | [-31 9 6 1⟩
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| | 4.30
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| |-
| |
| | [[3955078125/3954653486]]
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| | [-1 4 11 -11⟩
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| | 0.19
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| |-
| |
| | [[4202539929/4194304000]]
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| | [-25 6 -3 8⟩
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| | 3.40
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| |-
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| | [[4306640625/4294967296]]
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| | [-32 2 10 2⟩
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| | 4.70
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| |-
| |
| | [[6591796875/6576668672]]
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| | [-27 3 12 -2⟩
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| | 3.98
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| |-
| |
| | [[9191328125/9172942848]]
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| | [-22 -7 7 6⟩
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| | 3.47
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| |-
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| | [[13841287201/13824000000]]
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| | [-15 -3 -6 12⟩
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| | 2.16
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| |-
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| | [[13841287201/13839609375]]
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| | [0 -11 -7 12⟩
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| | 0.21
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| |-
| |
| | [[23066015625/23018340352]]
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| | [-26 10 8 -3⟩
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| | 3.58
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| |-
| |
| | [[24414062500/24407490807]]
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| | [2 -20 14 -1⟩
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| | 0.47
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| |-
| |
| | [[30517578125/30474952704]]
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| | [-13 -12 15 -1⟩
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| | 2.42
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| |-
| |
| | [[30517578125/30507326892]]
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| | [-2 -3 15 -10⟩
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| | 0.58
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| |-
| |
| | [[31381059609/31360000000]]
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| | [-13 22 -7 -2⟩
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| | 1.16
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| |-
| |
| | [[34451725707/34359738368]]
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| | [-35 15 0 4⟩
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| | 4.63
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| |-
| |
| | [[62523502209/62500000000]]
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| | [-8 12 -12 6⟩
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| | 0.65
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| |-
| |
| | [[68919204375/68719476736]]
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| | [-36 8 4 5⟩
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| | 5.02
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| |-
| |
| | [[80712601875/80564191232]]
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| | [-25 17 4 -4⟩
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| | 3.19
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| |-
| |
| | [[83740234375/83682825624]]
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| | [-3 -21 12 3⟩
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| | 1.19
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| |-
| |
| | [[94143178827/93952409600]]
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| | [-29 23 -2 -1⟩
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| | 3.51
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| |-
| |
| | [[94143178827/94119200000]]
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| | [-8 23 -5 -6⟩
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| | 0.44
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| |-
| |
| | [[96889010407/96636764160]]
| |
| | [-31 -2 -1 13⟩
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| | 4.51
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| |-
| |
| | [[96889010407/96745881600]]
| |
| | [-16 -10 -2 13⟩
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| | 2.56
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| |-
| |
| | [[96889010407/96855122250]]
| |
| | [-1 -18 -3 13⟩
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| | 0.61
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| |-
| |
| | [[137869921875/137438953472]]
| |
| | [-37 1 8 6⟩
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| | 5.42
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| |-
| |
| | [[152587890625/152202903552]]
| |
| | [-28 -4 16 -1⟩
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| | 4.37
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| |-
| |
| | [[160163466183/160000000000]]
| |
| | [-14 4 -10 11⟩
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| | 1.77
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| |-
| |
| | [[176547030625/176319369216]]
| |
| | [-12 -16 4 10⟩
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| | 2.23
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| |-
| |
| | [[282429536481/281974669312]]
| |
| | [-24 24 0 -5⟩
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| | 2.79
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| |-
| |
| | [[282475249000/282429536481]]
| |
| | [3 -24 3 10⟩
| |
| | 0.28
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| |-
| |
| | [[418701171875/417942208512]]
| |
| | [-18 -13 13 3⟩
| |
| | 3.14
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| |-
| |
| | [[494384765625/493455671296]]
| |
| | [-22 4 14 -6⟩
| |
| | 3.26
| |
| |-
| |
| | [[512557306947/512000000000]]
| |
| | [-18 21 -9 2⟩
| |
| | 1.88
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| |-
| |
| | [[762939453125/762191265024]]
| |
| | [-8 -11 17 -5⟩
| |
| | 1.70
| |
| |-
| |
| | [[882735153125/880602513408]]
| |
| | [-27 -8 5 10⟩
| |
| | 4.19
| |
| |}
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| == Scales == | | == Scales == |