270edo: Difference between revisions
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* [[Maeve Gutierrez#Moonglade scale|Gutierrez Moonglade scale]] (24 tones): 3 17 22 3 20 5 17 25 5 14 22 5 3 16 18 4 19 5 5 12 2 6 17 5 | * [[Maeve Gutierrez#Moonglade scale|Gutierrez Moonglade scale]] (24 tones): 3 17 22 3 20 5 17 25 5 14 22 5 3 16 18 4 19 5 5 12 2 6 17 5 | ||
* [[Vishnu]][34]: 7 9 7 9 7 9 7 9 7 9 7 9 7 9 7 9 7 7 9 7 9 7 9 7 9 7 9 7 9 7 9 7 9 7 | * [[Vishnu]][34]: 7 9 7 9 7 9 7 9 7 9 7 9 7 9 7 9 7 7 9 7 9 7 9 7 9 7 9 7 9 7 9 7 9 7 | ||
== Commas of the 2.3.5.7.11.13 subgroup tempered out in 270edo patent val == | |||
Commas with numerator <= 2^20: | |||
{| class="wikitable mw-collapsible mw-collapsed sortable" | |||
! [[Ratio]] | |||
! [[Monzo]] | |||
! [[Cent]]s | |||
|- | |||
| [[123201/123200]] | |||
| [-6 6 -2 -1 -1 2⟩ | |||
| 0.014 | |||
|- | |||
| [[151263/151250]] | |||
| [-1 2 -4 5 -2⟩ | |||
| 0.149 | |||
|- | |||
| [[196625/196608]] | |||
| [-16 -1 3 0 2 1⟩ | |||
| 0.150 | |||
|- | |||
| [[10648/10647]] | |||
| [3 -2 0 -1 3 -2⟩ | |||
| 0.163 | |||
|- | |||
| [[9801/9800]] | |||
| [-3 4 -2 -2 2⟩ | |||
| 0.177 | |||
|- | |||
| [[6656/6655]] | |||
| [9 0 -1 0 -3 1⟩ | |||
| 0.260 | |||
|- | |||
| [[823680/823543]] | |||
| [7 2 1 -7 1 1⟩ | |||
| 0.288 | |||
|- | |||
| [[655473/655360]] | |||
| [-17 1 -1 5 0 1⟩ | |||
| 0.298 | |||
|- | |||
| [[105644/105625]] | |||
| [2 0 -4 4 1 -2⟩ | |||
| 0.311 | |||
|- | |||
| [[250047/250000]] | |||
| [-4 6 -6 3⟩ | |||
| 0.325 | |||
|- | |||
| [[4375/4374]] | |||
| [-1 -7 4 1⟩ | |||
| 0.396 | |||
|- | |||
| [[4225/4224]] | |||
| [-7 -1 2 0 -1 2⟩ | |||
| 0.410 | |||
|- | |||
| [[4096/4095]] | |||
| [12 -2 -1 -1 0 -1⟩ | |||
| 0.423 | |||
|- | |||
| [[67392/67375]] | |||
| [6 4 -3 -2 -1 1⟩ | |||
| 0.437 | |||
|- | |||
| [[117649/117612]] | |||
| [-2 -5 0 6 -2⟩ | |||
| 0.545 | |||
|- | |||
| [[3025/3024]] | |||
| [-4 -3 2 -1 2⟩ | |||
| 0.572 | |||
|- | |||
| [[50193/50176]] | |||
| [-10 3 0 -2 1 2⟩ | |||
| 0.586 | |||
|- | |||
| [[557568/557375]] | |||
| [9 2 -3 -3 2 -1⟩ | |||
| 0.599 | |||
|- | |||
| [[43940/43923]] | |||
| [2 -1 1 0 -4 3⟩ | |||
| 0.670 | |||
|- | |||
| [[823875/823543]] | |||
| [0 1 3 -7 0 3⟩ | |||
| 0.698 | |||
|- | |||
| [[369754/369603]] | |||
| [1 -7 0 5 1 -2⟩ | |||
| 0.707 | |||
|- | |||
| [[2401/2400]] | |||
| [-5 -1 -2 4⟩ | |||
| 0.721 | |||
|- | |||
| [[1016064/1015625]] | |||
| [8 4 -7 2 0 -1⟩ | |||
| 0.748 | |||
|- | |||
| [[43923/43904]] | |||
| [-7 1 0 -3 4⟩ | |||
| 0.749 | |||
|- | |||
| [[256000/255879]] | |||
| [11 -9 3 0 0 -1⟩ | |||
| 0.818 | |||
|- | |||
| [[2080/2079]] | |||
| [5 -3 1 -1 -1 1⟩ | |||
| 0.833 | |||
|- | |||
| [[59319/59290]] | |||
| [-1 3 -1 -2 -2 3⟩ | |||
| 0.847 | |||
|- | |||
| [[456533/456300]] | |||
| [-2 -3 -2 3 3 -2⟩ | |||
| 0.884 | |||
|- | |||
| [[160083/160000]] | |||
| [-8 3 -4 2 2⟩ | |||
| 0.898 | |||
|- | |||
| [[499408/499125]] | |||
| [4 -1 -3 4 -3 1⟩ | |||
| 0.981 | |||
|- | |||
| [[154880/154791]] | |||
| [8 -5 1 -2 2 -1⟩ | |||
| 0.995 | |||
|- | |||
| [[1716/1715]] | |||
| [2 1 -1 -3 1 1⟩ | |||
| 1.009 | |||
|- | |||
| [[420175/419904]] | |||
| [-6 -8 2 5⟩ | |||
| 1.117 | |||
|- | |||
| [[405769/405504]] | |||
| [-12 -2 0 4 -1 2⟩ | |||
| 1.131 | |||
|- | |||
| [[43904/43875]] | |||
| [7 -3 -3 3 0 -1⟩ | |||
| 1.144 | |||
|- | |||
| [[34398/34375]] | |||
| [1 3 -5 2 -1 1⟩ | |||
| 1.158 | |||
|- | |||
| [[468512/468195]] | |||
| [5 -1 -1 -4 4 -1⟩ | |||
| 1.172 | |||
|- | |||
| [[650000/649539]] | |||
| [4 -10 5 0 -1 1⟩ | |||
| 1.228 | |||
|- | |||
| [[274625/274428]] | |||
| [-2 -4 3 -1 -2 3⟩ | |||
| 1.242 | |||
|- | |||
| [[131072/130977]] | |||
| [17 -5 0 -2 -1⟩ | |||
| 1.255 | |||
|- | |||
| [[1038336/1037575]] | |||
| [11 1 -2 -3 -2 2⟩ | |||
| 1.269 | |||
|- | |||
| [[41503/41472]] | |||
| [-9 -4 0 3 2⟩ | |||
| 1.294 | |||
|- | |||
| [[819819/819200]] | |||
| [-15 2 -2 2 1 2⟩ | |||
| 1.308 | |||
|- | |||
| [[40656/40625]] | |||
| [4 1 -5 1 2 -1⟩ | |||
| 1.321 | |||
|- | |||
| [[312741/312500]] | |||
| [-2 7 -7 0 1 1⟩ | |||
| 1.335 | |||
|- | |||
| [[35750/35721]] | |||
| [1 -6 3 -2 1 1⟩ | |||
| 1.405 | |||
|- | |||
| [[10985/10976]] | |||
| [-5 0 1 -3 0 3⟩ | |||
| 1.419 | |||
|- | |||
| [[180224/180075]] | |||
| [14 -1 -2 -4 1⟩ | |||
| 1.432 | |||
|- | |||
| [[102487/102400]] | |||
| [-12 0 -2 1 4⟩ | |||
| 1.470 | |||
|- | |||
| [[768320/767637]] | |||
| [6 -10 1 4 0 -1⟩ | |||
| 1.540 | |||
|- | |||
| [[4459/4455]] | |||
| [0 -4 -1 3 -1 1⟩ | |||
| 1.554 | |||
|- | |||
| [[968877/968000]] | |||
| [-6 2 -3 2 -2 3⟩ | |||
| 1.568 | |||
|- | |||
| [[172032/171875]] | |||
| [13 1 -6 1 -1⟩ | |||
| 1.581 | |||
|- | |||
| [[86515/86436]] | |||
| [-2 -2 1 -4 3 1⟩ | |||
| 1.582 | |||
|- | |||
| [[456976/456533]] | |||
| [4 0 0 -3 -3 4⟩ | |||
| 1.679 | |||
|- | |||
| [[47432/47385]] | |||
| [3 -6 -1 2 2 -1⟩ | |||
| 1.716 | |||
|- | |||
| [[1001/1000]] | |||
| [-3 0 -3 1 1 1⟩ | |||
| 1.730 | |||
|- | |||
| [[21632/21609]] | |||
| [7 -2 0 -4 0 2⟩ | |||
| 1.842 | |||
|- | |||
| [[14641/14625]] | |||
| [0 -2 -3 0 4 -1⟩ | |||
| 1.893 | |||
|- | |||
| [[200704/200475]] | |||
| [12 -6 -2 2 -1⟩ | |||
| 1.976 | |||
|- | |||
| [[75712/75625]] | |||
| [6 0 -4 1 -2 2⟩ | |||
| 1.990 | |||
|- | |||
| [[35035/34992]] | |||
| [-4 -7 1 2 1 1⟩ | |||
| 2.126 | |||
|- | |||
| [[15379/15360]] | |||
| [-10 -1 -1 1 0 3⟩ | |||
| 2.140 | |||
|- | |||
| [[5632/5625]] | |||
| [9 -2 -4 0 1⟩ | |||
| 2.153 | |||
|- | |||
| [[109512/109375]] | |||
| [3 4 -6 -1 0 2⟩ | |||
| 2.167 | |||
|- | |||
| [[714025/713097]] | |||
| [0 -3 2 -4 -1 4⟩ | |||
| 2.252 | |||
|- | |||
| [[512435/511758]] | |||
| [-1 -9 1 1 4 -1⟩ | |||
| 2.289 | |||
|- | |||
| [[17303/17280]] | |||
| [-7 -3 -1 0 3 1⟩ | |||
| 2.303 | |||
|- | |||
| [[766656/765625]] | |||
| [6 2 -6 -2 3⟩ | |||
| 2.330 | |||
|- | |||
| [[264992/264627]] | |||
| [5 -7 0 2 -2 2⟩ | |||
| 2.386 | |||
|- | |||
| [[199927/199650]] | |||
| [-1 -1 -2 1 -3 4⟩ | |||
| 2.400 | |||
|- | |||
| [[942513/941192]] | |||
| [-3 1 0 -6 1 4⟩ | |||
| 2.428 | |||
|- | |||
| [[19712/19683]] | |||
| [8 -9 0 1 1⟩ | |||
| 2.549 | |||
|- | |||
| [[676/675]] | |||
| [2 -3 -2 0 0 2⟩ | |||
| 2.563 | |||
|- | |||
| [[771147/770000]] | |||
| [-4 3 -4 -1 -1 4⟩ | |||
| 2.577 | |||
|- | |||
| [[42592/42525]] | |||
| [5 -5 -2 -1 3⟩ | |||
| 2.725 | |||
|- | |||
| [[61347/61250]] | |||
| [-1 1 -4 -2 2 2⟩ | |||
| 2.740 | |||
|- | |||
| [[422576/421875]] | |||
| [4 -3 -6 4 1⟩ | |||
| 2.874 | |||
|- | |||
| [[644204/643125]] | |||
| [2 -1 -4 -3 5⟩ | |||
| 2.902 | |||
|- | |||
| [[59150/59049]] | |||
| [1 -10 2 1 0 2⟩ | |||
| 2.959 | |||
|- | |||
| [[28561/28512]] | |||
| [-5 -4 0 0 -1 4⟩ | |||
| 2.973 | |||
|- | |||
| [[212992/212625]] | |||
| [14 -5 -3 -1 0 1⟩ | |||
| 2.986 | |||
|- | |||
| [[391314/390625]] | |||
| [1 1 -8 2 3⟩ | |||
| 3.051 | |||
|- | |||
| [[532400/531441]] | |||
| [4 -12 2 0 3⟩ | |||
| 3.121 | |||
|- | |||
| [[20449/20412]] | |||
| [-2 -6 0 -1 2 2⟩ | |||
| 3.135 | |||
|- | |||
| [[314171/313600]] | |||
| [-8 0 -2 -2 1 4⟩ | |||
| 3.149 | |||
|- | |||
| [[405769/405000]] | |||
| [-3 -4 -4 4 0 2⟩ | |||
| 3.284 | |||
|- | |||
| [[322102/321489]] | |||
| [1 -8 0 -2 5⟩ | |||
| 3.298 | |||
|- | |||
| [[532480/531441]] | |||
| [13 -12 1 0 0 1⟩ | |||
| 3.381 | |||
|- | |||
| [[281216/280665]] | |||
| [7 -6 -1 -1 -1 3⟩ | |||
| 3.395 | |||
|- | |||
| [[742586/741125]] | |||
| [1 0 -3 -2 -2 5⟩ | |||
| 3.409 | |||
|- | |||
| [[456533/455625]] | |||
| [0 -6 -4 3 3⟩ | |||
| 3.447 | |||
|- | |||
| [[1002001/1000000]] | |||
| [-6 0 -6 2 2 2⟩ | |||
| 3.461 | |||
|- | |||
| [[386672/385875]] | |||
| [4 -2 -3 -3 1 3⟩ | |||
| 3.572 | |||
|- | |||
| [[861224/859375]] | |||
| [3 0 -7 2 -1 3⟩ | |||
| 3.721 | |||
|- | |||
| [[704704/703125]] | |||
| [6 -2 -7 1 2 1⟩ | |||
| 3.883 | |||
|- | |||
| [[966680/964467]] | |||
| [3 -9 1 -2 1 3⟩ | |||
| 3.968 | |||
|- | |||
| [[371293/370440]] | |||
| [-3 -3 -1 -3 0 5⟩ | |||
| 3.982 | |||
|- | |||
| [[169169/168750]] | |||
| [-1 -3 -5 1 1 3⟩ | |||
| 4.293 | |||
|- | |||
| [[761332/759375]] | |||
| [2 -5 -5 0 4 1⟩ | |||
| 4.456 | |||
|- | |||
| [[456976/455625]] | |||
| [4 -6 -4 0 0 4⟩ | |||
| 5.126 | |||
|} | |||
== External links == | == External links == | ||