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


== Scales ==
== Scales ==
Retrieved from "https://en.xen.wiki/w/171edo"