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→15-odd-limit interval mappings: Some people might be interested in a higher limit for comparison.
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== Approximation to JI ==
== Approximation to JI ==
=== 15-odd-limit interval mappings ===
{{15-odd-limit|270|15}}
=== 23-odd-limit interval mappings ===
=== 23-odd-limit interval mappings ===
{{15-odd-limit|270|23}}
{{15-odd-limit|270|23}}
Line 301: Line 298:
* [[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
|-
| [[676/675]]
| [2 -3 -2 0 0 2⟩
| 2.563
|-
| [[1001/1000]]
| [-3 0 -3 1 1 1⟩
| 1.730
|-
| [[1716/1715]]
| [2 1 -1 -3 1 1⟩
| 1.009
|-
| [[2080/2079]]
| [5 -3 1 -1 -1 1⟩
| 0.833
|-
| [[2401/2400]]
| [-5 -1 -2 4⟩
| 0.721
|-
| [[3025/3024]]
| [-4 -3 2 -1 2⟩
| 0.572
|-
| [[4096/4095]]
| [12 -2 -1 -1 0 -1⟩
| 0.423
|-
| [[4225/4224]]
| [-7 -1 2 0 -1 2⟩
| 0.410
|-
| [[4375/4374]]
| [-1 -7 4 1⟩
| 0.396
|-
| [[4459/4455]]
| [0 -4 -1 3 -1 1⟩
| 1.554
|-
| [[5632/5625]]
| [9 -2 -4 0 1⟩
| 2.153
|-
| [[6656/6655]]
| [9 0 -1 0 -3 1⟩
| 0.260
|-
| [[9801/9800]]
| [-3 4 -2 -2 2⟩
| 0.177
|-
| [[10648/10647]]
| [3 -2 0 -1 3 -2⟩
| 0.163
|-
| [[10985/10976]]
| [-5 0 1 -3 0 3⟩
| 1.419
|-
| [[14641/14625]]
| [0 -2 -3 0 4 -1⟩
| 1.893
|-
| [[15379/15360]]
| [-10 -1 -1 1 0 3⟩
| 2.140
|-
| [[17303/17280]]
| [-7 -3 -1 0 3 1⟩
| 2.303
|-
| [[19712/19683]]
| [8 -9 0 1 1⟩
| 2.549
|-
| [[20449/20412]]
| [-2 -6 0 -1 2 2⟩
| 3.135
|-
| [[21632/21609]]
| [7 -2 0 -4 0 2⟩
| 1.842
|-
| [[28561/28512]]
| [-5 -4 0 0 -1 4⟩
| 2.973
|-
| [[34398/34375]]
| [1 3 -5 2 -1 1⟩
| 1.158
|-
| [[35035/34992]]
| [-4 -7 1 2 1 1⟩
| 2.126
|-
| [[35750/35721]]
| [1 -6 3 -2 1 1⟩
| 1.405
|-
| [[40656/40625]]
| [4 1 -5 1 2 -1⟩
| 1.321
|-
| [[41503/41472]]
| [-9 -4 0 3 2⟩
| 1.294
|-
| [[42592/42525]]
| [5 -5 -2 -1 3⟩
| 2.725
|-
| [[43904/43875]]
| [7 -3 -3 3 0 -1⟩
| 1.144
|-
| [[43923/43904]]
| [-7 1 0 -3 4⟩
| 0.749
|-
| [[43940/43923]]
| [2 -1 1 0 -4 3⟩
| 0.670
|-
| [[47432/47385]]
| [3 -6 -1 2 2 -1⟩
| 1.716
|-
| [[50193/50176]]
| [-10 3 0 -2 1 2⟩
| 0.586
|-
| [[59150/59049]]
| [1 -10 2 1 0 2⟩
| 2.959
|-
| [[59319/59290]]
| [-1 3 -1 -2 -2 3⟩
| 0.847
|-
| [[61347/61250]]
| [-1 1 -4 -2 2 2⟩
| 2.740
|-
| [[67392/67375]]
| [6 4 -3 -2 -1 1⟩
| 0.437
|-
| [[75712/75625]]
| [6 0 -4 1 -2 2⟩
| 1.990
|-
| [[86515/86436]]
| [-2 -2 1 -4 3 1⟩
| 1.582
|-
| [[102487/102400]]
| [-12 0 -2 1 4⟩
| 1.470
|-
| [[105644/105625]]
| [2 0 -4 4 1 -2⟩
| 0.311
|-
| [[109512/109375]]
| [3 4 -6 -1 0 2⟩
| 2.167
|-
| [[117649/117612]]
| [-2 -5 0 6 -2⟩
| 0.545
|-
| [[123201/123200]]
| [-6 6 -2 -1 -1 2⟩
| 0.014
|-
| [[131072/130977]]
| [17 -5 0 -2 -1⟩
| 1.255
|-
| [[151263/151250]]
| [-1 2 -4 5 -2⟩
| 0.149
|-
| [[154880/154791]]
| [8 -5 1 -2 2 -1⟩
| 0.995
|-
| [[160083/160000]]
| [-8 3 -4 2 2⟩
| 0.898
|-
| [[169169/168750]]
| [-1 -3 -5 1 1 3⟩
| 4.293
|-
| [[172032/171875]]
| [13 1 -6 1 -1⟩
| 1.581
|-
| [[180224/180075]]
| [14 -1 -2 -4 1⟩
| 1.432
|-
| [[196625/196608]]
| [-16 -1 3 0 2 1⟩
| 0.150
|-
| [[199927/199650]]
| [-1 -1 -2 1 -3 4⟩
| 2.400
|-
| [[200704/200475]]
| [12 -6 -2 2 -1⟩
| 1.976
|-
| [[212992/212625]]
| [14 -5 -3 -1 0 1⟩
| 2.986
|-
| [[250047/250000]]
| [-4 6 -6 3⟩
| 0.325
|-
| [[256000/255879]]
| [11 -9 3 0 0 -1⟩
| 0.818
|-
| [[264992/264627]]
| [5 -7 0 2 -2 2⟩
| 2.386
|-
| [[274625/274428]]
| [-2 -4 3 -1 -2 3⟩
| 1.242
|-
| [[281216/280665]]
| [7 -6 -1 -1 -1 3⟩
| 3.395
|-
| [[312741/312500]]
| [-2 7 -7 0 1 1⟩
| 1.335
|-
| [[314171/313600]]
| [-8 0 -2 -2 1 4⟩
| 3.149
|-
| [[322102/321489]]
| [1 -8 0 -2 5⟩
| 3.298
|-
| [[369754/369603]]
| [1 -7 0 5 1 -2⟩
| 0.707
|-
| [[371293/370440]]
| [-3 -3 -1 -3 0 5⟩
| 3.982
|-
| [[386672/385875]]
| [4 -2 -3 -3 1 3⟩
| 3.572
|-
| [[391314/390625]]
| [1 1 -8 2 3⟩
| 3.051
|-
| [[405769/405000]]
| [-3 -4 -4 4 0 2⟩
| 3.284
|-
| [[405769/405504]]
| [-12 -2 0 4 -1 2⟩
| 1.131
|-
| [[420175/419904]]
| [-6 -8 2 5⟩
| 1.117
|-
| [[422576/421875]]
| [4 -3 -6 4 1⟩
| 2.874
|-
| [[456533/455625]]
| [0 -6 -4 3 3⟩
| 3.447
|-
| [[456533/456300]]
| [-2 -3 -2 3 3 -2⟩
| 0.884
|-
| [[456976/455625]]
| [4 -6 -4 0 0 4⟩
| 5.126
|-
| [[456976/456533]]
| [4 0 0 -3 -3 4⟩
| 1.679
|-
| [[468512/468195]]
| [5 -1 -1 -4 4 -1⟩
| 1.172
|-
| [[499408/499125]]
| [4 -1 -3 4 -3 1⟩
| 0.981
|-
| [[512435/511758]]
| [-1 -9 1 1 4 -1⟩
| 2.289
|-
| [[532400/531441]]
| [4 -12 2 0 3⟩
| 3.121
|-
| [[532480/531441]]
| [13 -12 1 0 0 1⟩
| 3.381
|-
| [[557568/557375]]
| [9 2 -3 -3 2 -1⟩
| 0.599
|-
| [[644204/643125]]
| [2 -1 -4 -3 5⟩
| 2.902
|-
| [[650000/649539]]
| [4 -10 5 0 -1 1⟩
| 1.228
|-
| [[655473/655360]]
| [-17 1 -1 5 0 1⟩
| 0.298
|-
| [[704704/703125]]
| [6 -2 -7 1 2 1⟩
| 3.883
|-
| [[714025/713097]]
| [0 -3 2 -4 -1 4⟩
| 2.252
|-
| [[742586/741125]]
| [1 0 -3 -2 -2 5⟩
| 3.409
|-
| [[761332/759375]]
| [2 -5 -5 0 4 1⟩
| 4.456
|-
| [[766656/765625]]
| [6 2 -6 -2 3⟩
| 2.330
|-
| [[768320/767637]]
| [6 -10 1 4 0 -1⟩
| 1.540
|-
| [[771147/770000]]
| [-4 3 -4 -1 -1 4⟩
| 2.577
|-
| [[819819/819200]]
| [-15 2 -2 2 1 2⟩
| 1.308
|-
| [[823680/823543]]
| [7 2 1 -7 1 1⟩
| 0.288
|-
| [[823875/823543]]
| [0 1 3 -7 0 3⟩
| 0.698
|-
| [[861224/859375]]
| [3 0 -7 2 -1 3⟩
| 3.721
|-
| [[942513/941192]]
| [-3 1 0 -6 1 4⟩
| 2.428
|-
| [[966680/964467]]
| [3 -9 1 -2 1 3⟩
| 3.968
|-
| [[968877/968000]]
| [-6 2 -3 2 -2 3⟩
| 1.568
|-
| [[1002001/1000000]]
| [-6 0 -6 2 2 2⟩
| 3.461
|-
| [[1016064/1015625]]
| [8 4 -7 2 0 -1⟩
| 0.748
|-
| [[1038336/1037575]]
| [11 1 -2 -3 -2 2⟩
| 1.269
|}


== External links ==
== External links ==
Retrieved from "https://en.xen.wiki/w/270edo"