Xenharmonic Wiki

311edo: Difference between revisions

← Older editNewer edit →
VisualWikitext
Contribution (talk | contribs)
3,348 edits
Tags: Reverted Visual edit
- spam
Tag: Undo
Line 1,984: Line 1,984:
=== Commas ===
=== Commas ===
Some 41-limit [[comma]]s it tempers out are [[595/594]], [[625/624]], 697/696, 703/702, 714/713, 760/759, [[784/783]], 820/819, [[833/832]], 875/874, 900/899, 925/924, 931/930, 962/961, 969/968, 1000/999, 1015/1014, 1024/1023, [[1025/1024]], 1036/1035, 1045/1044, 1054/1053, 1105/1104, 1148/1147, [[1156/1155]], 1184/1183, 1189/1188, 1190/1189, 1197/1196, 1210/1209, [[1216/1215]], [[1225/1224]], [[1275/1274]], 1288/1287, 1312/1311, 1332/1331, 1353/1352, 1365/1364, 1369/1368, 1444/1443, [[1445/1444]], 1450/1449, 1480/1479, 1496/1495, 1519/1518, 1520/1519, 1540/1539, 1596/1595, 1600/1599, 1625/1624, 1665/1664, 1666/1665, 1681/1680, 1683/1682, 1702/1701, [[1729/1728]], 1768/1767, 1805/1804, 1860/1859, 1886/1885, 1887/1886, 1925/1924, 2002/2001, 2016/2015, 2025/2024, [[2058/2057]], [[2080/2079]], 2091/2090, 2109/2108, 2146/2145, 2176/2175, 2185/2184, 2205/2204, 2233/2232, 2255/2254, 2295/2294, 2296/2295, 2300/2299, [[2401/2400]], [[2431/2430]], [[2432/2431]], 2465/2464, [[2500/2499]], 2542/2541, 2553/2552, 2584/2583, [[2601/2600]], 2625/2624, 2640/2639, 2646/2645, 2665/2664, 2737/2736, 2738/2737, 2755/2754, 2784/2783, 2850/2849, 2926/2925, and 2945/2944.
Some 41-limit [[comma]]s it tempers out are [[595/594]], [[625/624]], 697/696, 703/702, 714/713, 760/759, [[784/783]], 820/819, [[833/832]], 875/874, 900/899, 925/924, 931/930, 962/961, 969/968, 1000/999, 1015/1014, 1024/1023, [[1025/1024]], 1036/1035, 1045/1044, 1054/1053, 1105/1104, 1148/1147, [[1156/1155]], 1184/1183, 1189/1188, 1190/1189, 1197/1196, 1210/1209, [[1216/1215]], [[1225/1224]], [[1275/1274]], 1288/1287, 1312/1311, 1332/1331, 1353/1352, 1365/1364, 1369/1368, 1444/1443, [[1445/1444]], 1450/1449, 1480/1479, 1496/1495, 1519/1518, 1520/1519, 1540/1539, 1596/1595, 1600/1599, 1625/1624, 1665/1664, 1666/1665, 1681/1680, 1683/1682, 1702/1701, [[1729/1728]], 1768/1767, 1805/1804, 1860/1859, 1886/1885, 1887/1886, 1925/1924, 2002/2001, 2016/2015, 2025/2024, [[2058/2057]], [[2080/2079]], 2091/2090, 2109/2108, 2146/2145, 2176/2175, 2185/2184, 2205/2204, 2233/2232, 2255/2254, 2295/2294, 2296/2295, 2300/2299, [[2401/2400]], [[2431/2430]], [[2432/2431]], 2465/2464, [[2500/2499]], 2542/2541, 2553/2552, 2584/2583, [[2601/2600]], 2625/2624, 2640/2639, 2646/2645, 2665/2664, 2737/2736, 2738/2737, 2755/2754, 2784/2783, 2850/2849, 2926/2925, and 2945/2944.
41-limit commas with numerator < 10000, tempered out in 311edo patent val:
{| class="wikitable mw-collapsible mw-collapsed sortable"
! [[Ratio]]
! [[Monzo]]
! [[Cent]]s
|-
|[[595/594]]
|[-1 -3 1 1 -1 0 1⟩
|2.912
|-
|[[625/624]]
|[-4 -1 4 0 0 -1⟩
|2.772
|-
|[[697/696]]
|[-3 -1 0 0 0 0 1 0 0 -1 0 0 1⟩
|2.486
|-
|[[703/702]]
|[-1 -3 0 0 0 -1 0 1 0 0 0 1⟩
|2.464
|-
|[[714/713]]
|[1 1 0 1 0 0 1 0 -1 0 -1⟩
|2.426
|-
|[[760/759]]
|[3 -1 1 0 -1 0 0 1 -1⟩
|2.279
|-
|[[784/783]]
|[4 -3 0 2 0 0 0 0 0 -1⟩
|2.210
|-
|[[820/819]]
|[2 -2 1 -1 0 -1 0 0 0 0 0 0 1⟩
|2.113
|-
|[[833/832]]
|[-6 0 0 2 0 -1 1⟩
|2.080
|-
|[[875/874]]
|[-1 0 3 1 0 0 0 -1 -1⟩
|1.980
|-
|[[900/899]]
|[2 2 2 0 0 0 0 0 0 -1 -1⟩
|1.925
|-
|[[925/924]]
|[-2 -1 2 -1 -1 0 0 0 0 0 0 1⟩
|1.873
|-
|[[931/930]]
|[-1 -1 -1 2 0 0 0 1 0 0 -1⟩
|1.861
|-
|[[962/961]]
|[1 0 0 0 0 1 0 0 0 0 -2 1⟩
|1.801
|-
|[[969/968]]
|[-3 1 0 0 -2 0 1 1⟩
|1.788
|-
|[[1000/999]]
|[3 -3 3 0 0 0 0 0 0 0 0 -1⟩
|1.732
|-
|[[1015/1014]]
|[-1 -1 1 1 0 -2 0 0 0 1⟩
|1.706
|-
|[[1024/1023]]
|[10 -1 0 0 -1 0 0 0 0 0 -1⟩
|1.691
|-
|[[1025/1023]]
|[0 -1 2 0 -1 0 0 0 0 0 -1 0 1⟩
|3.381
|-
|[[1025/1024]]
|[-10 0 2 0 0 0 0 0 0 0 0 0 1⟩
|1.690
|-
|[[1036/1035]]
|[2 -2 -1 1 0 0 0 0 -1 0 0 1⟩
|1.672
|-
|[[1045/1044]]
|[-2 -2 1 0 1 0 0 1 0 -1⟩
|1.657
|-
|[[1054/1053]]
|[1 -4 0 0 0 -1 1 0 0 0 1⟩
|1.643
|-
|[[1105/1104]]
|[-4 -1 1 0 0 1 1 0 -1⟩
|1.567
|-
|[[1148/1147]]
|[2 0 0 1 0 0 0 0 0 0 -1 -1 1⟩
|1.509
|-
|[[1156/1155]]
|[2 -1 -1 -1 -1 0 2⟩
|1.498
|-
|[[1184/1183]]
|[5 0 0 -1 0 -2 0 0 0 0 0 1⟩
|1.463
|-
|[[1189/1188]]
|[-2 -3 0 0 -1 0 0 0 0 1 0 0 1⟩
|1.457
|-
|[[1190/1189]]
|[1 0 1 1 0 0 1 0 0 -1 0 0 -1⟩
|1.455
|-
|[[1197/1196]]
|[-2 2 0 1 0 -1 0 1 -1⟩
|1.447
|-
|[[1210/1209]]
|[1 -1 1 0 2 -1 0 0 0 0 -1⟩
|1.431
|-
|[[1216/1215]]
|[6 -5 -1 0 0 0 0 1⟩
|1.424
|-
|[[1225/1224]]
|[-3 -2 2 2 0 0 -1⟩
|1.414
|-
|[[1275/1274]]
|[-1 1 2 -2 0 -1 1⟩
|1.358
|-
|[[1288/1287]]
|[3 -2 0 1 -1 -1 0 0 1⟩
|1.345
|-
|[[1312/1311]]
|[5 -1 0 0 0 0 0 -1 -1 0 0 0 1⟩
|1.320
|-
|[[1332/1331]]
|[2 2 0 0 -3 0 0 0 0 0 0 1⟩
|1.300
|-
|[[1353/1352]]
|[-3 1 0 0 1 -2 0 0 0 0 0 0 1⟩
|1.280
|-
|[[1365/1364]]
|[-2 1 1 1 -1 1 0 0 0 0 -1⟩
|1.269
|-
|[[1369/1368]]
|[-3 -2 0 0 0 0 0 -1 0 0 0 2⟩
|1.265
|-
|[[1444/1443]]
|[2 -1 0 0 0 -1 0 2 0 0 0 -1⟩
|1.199
|-
|[[1445/1443]]
|[0 -1 1 0 0 -1 2 0 0 0 0 -1⟩
|2.398
|-
|[[1445/1444]]
|[-2 0 1 0 0 0 2 -2⟩
|1.199
|-
|[[1450/1449]]
|[1 -2 2 -1 0 0 0 0 -1 1⟩
|1.194
|-
|[[1480/1479]]
|[3 -1 1 0 0 0 -1 0 0 -1 0 1⟩
|1.170
|-
|[[1496/1495]]
|[3 0 -1 0 1 -1 1 0 -1⟩
|1.158
|-
|[[1519/1518]]
|[-1 -1 0 2 -1 0 0 0 -1 0 1⟩
|1.140
|-
|[[1520/1519]]
|[4 0 1 -2 0 0 0 1 0 0 -1⟩
|1.139
|-
|[[1540/1539]]
|[2 -4 1 1 1 0 0 -1⟩
|1.125
|-
|[[1575/1573]]
|[0 2 2 1 -2 -1⟩
|2.200
|-
|[[1596/1595]]
|[2 1 -1 1 -1 0 0 1 0 -1⟩
|1.085
|-
|[[1600/1599]]
|[6 -1 2 0 0 -1 0 0 0 0 0 0 -1⟩
|1.082
|-
|[[1615/1612]]
|[-2 0 1 0 0 -1 1 1 0 0 -1⟩
|3.219
|-
|[[1625/1624]]
|[-3 0 3 -1 0 1 0 0 0 -1⟩
|1.066
|-
|[[1665/1664]]
|[-7 2 1 0 0 -1 0 0 0 0 0 1⟩
|1.040
|-
|[[1666/1665]]
|[1 -2 -1 2 0 0 1 0 0 0 0 -1⟩
|1.039
|-
|[[1681/1680]]
|[-4 -1 -1 -1 0 0 0 0 0 0 0 0 2⟩
|1.030
|-
|[[1683/1682]]
|[-1 2 0 0 1 0 1 0 0 -2⟩
|1.029
|-
|[[1702/1701]]
|[1 -5 0 -1 0 0 0 0 1 0 0 1⟩
|1.017
|-
|[[1729/1728]]
|[-6 -3 0 1 0 1 0 1⟩
|1.002
|-
|[[1768/1767]]
|[3 -1 0 0 0 1 1 -1 0 0 -1⟩
|0.979
|-
|[[1805/1804]]
|[-2 0 1 0 -1 0 0 2 0 0 0 0 -1⟩
|0.959
|-
|[[1860/1859]]
|[2 1 1 0 -1 -2 0 0 0 0 1⟩
|0.931
|-
|[[1862/1859]]
|[1 0 0 2 -1 -2 0 1⟩
|2.792
|-
|[[1886/1885]]
|[1 0 -1 0 0 -1 0 0 1 -1 0 0 1⟩
|0.918
|-
|[[1887/1885]]
|[0 1 -1 0 0 -1 1 0 0 -1 0 1⟩
|1.836
|-
|[[1887/1886]]
|[-1 1 0 0 0 0 1 0 -1 0 0 1 -1⟩
|0.918
|-
|[[1925/1922]]
|[-1 0 2 1 1 0 0 0 0 0 -2⟩
|2.700
|-
|[[1925/1924]]
|[-2 0 2 1 1 -1 0 0 0 0 0 -1⟩
|0.900
|-
|[[1955/1953]]
|[0 -2 1 -1 0 0 1 0 1 0 -1⟩
|1.772
|-
|[[2002/2001]]
|[1 -1 0 1 1 1 0 0 -1 -1⟩
|0.865
|-
|[[2016/2015]]
|[5 2 -1 1 0 -1 0 0 0 0 -1⟩
|0.859
|-
|[[2025/2024]]
|[-3 4 2 0 -1 0 0 0 -1⟩
|0.855
|-
|[[2058/2057]]
|[1 1 0 3 -2 0 -1⟩
|0.841
|-
|[[2080/2079]]
|[5 -3 1 -1 -1 1⟩
|0.833
|-
|[[2091/2090]]
|[-1 1 -1 0 -1 0 1 -1 0 0 0 0 1⟩
|0.828
|-
|[[2109/2108]]
|[-2 1 0 0 0 0 -1 1 0 0 -1 1⟩
|0.821
|-
|[[2146/2145]]
|[1 -1 -1 0 -1 -1 0 0 0 1 0 1⟩
|0.807
|-
|[[2176/2175]]
|[7 -1 -2 0 0 0 1 0 0 -1⟩
|0.796
|-
|[[2185/2184]]
|[-3 -1 1 -1 0 -1 0 1 1⟩
|0.793
|-
|[[2200/2197]]
|[3 0 2 0 1 -3⟩
|2.362
|-
|[[2205/2204]]
|[-2 2 1 2 0 0 0 -1 0 -1⟩
|0.785
|-
|[[2233/2232]]
|[-3 -2 0 1 1 0 0 0 0 1 -1⟩
|0.775
|-
|[[2255/2254]]
|[-1 0 1 -2 1 0 0 0 -1 0 0 0 1⟩
|0.768
|-
|[[2295/2294]]
|[-1 3 1 0 0 0 1 0 0 0 -1 -1⟩
|0.755
|-
|[[2296/2295]]
|[3 -3 -1 1 0 0 -1 0 0 0 0 0 1⟩
|0.754
|-
|[[2300/2299]]
|[2 0 2 0 -2 0 0 -1 1⟩
|0.753
|-
|[[2401/2400]]
|[-5 -1 -2 4⟩
|0.721
|-
|[[2431/2430]]
|[-1 -5 -1 0 1 1 1⟩
|0.712
|-
|[[2432/2431]]
|[7 0 0 0 -1 -1 -1 1⟩
|0.712
|-
|[[2465/2464]]
|[-5 0 1 -1 -1 0 1 0 0 1⟩
|0.702
|-
|[[2500/2499]]
|[2 -1 4 -2 0 0 -1⟩
|0.693
|-
|[[2516/2511]]
|[2 -4 0 0 0 0 1 0 0 0 -1 1⟩
|3.444
|-
|[[2527/2523]]
|[0 -1 0 1 0 0 0 2 0 -2⟩
|2.743
|-
|[[2542/2541]]
|[1 -1 0 -1 -2 0 0 0 0 0 1 0 1⟩
|0.681
|-
|[[2553/2552]]
|[-3 1 0 0 -1 0 0 0 1 -1 0 1⟩
|0.678
|-
|[[2584/2583]]
|[3 -2 0 -1 0 0 1 1 0 0 0 0 -1⟩
|0.670
|-
|[[2601/2600]]
|[-3 2 -2 0 0 -1 2⟩
|0.666
|-
|[[2625/2624]]
|[-6 1 3 1 0 0 0 0 0 0 0 0 -1⟩
|0.660
|-
|[[2640/2639]]
|[4 1 1 -1 1 -1 0 0 0 -1⟩
|0.656
|-
|[[2646/2645]]
|[1 3 -1 2 0 0 0 0 -2⟩
|0.654
|-
|[[2665/2662]]
|[-1 0 1 0 -3 1 0 0 0 0 0 0 1⟩
|1.950
|-
|[[2665/2664]]
|[-3 -2 1 0 0 1 0 0 0 0 0 -1 1⟩
|0.650
|-
|[[2695/2691]]
|[0 -2 1 2 1 -1 0 0 -1⟩
|2.571
|-
|[[2720/2717]]
|[5 0 1 0 -1 -1 1 -1⟩
|1.911
|-
|[[2737/2736]]
|[-4 -2 0 1 0 0 1 -1 1⟩
|0.633
|-
|[[2738/2737]]
|[1 0 0 -1 0 0 -1 0 -1 0 0 2⟩
|0.632
|-
|[[2755/2754]]
|[-1 -4 1 0 0 0 -1 1 0 1⟩
|0.629
|-
|[[2784/2783]]
|[5 1 0 0 -2 0 0 0 -1 1⟩
|0.622
|-
|[[2788/2783]]
|[2 0 0 0 -2 0 1 0 -1 0 0 0 1⟩
|3.108
|-
|[[2850/2849]]
|[1 1 2 -1 -1 0 0 1 0 0 0 -1⟩
|0.608
|-
|[[2873/2871]]
|[0 -2 0 0 -1 2 1 0 0 -1⟩
|1.206
|-
|[[2875/2871]]
|[0 -2 3 0 -1 0 0 0 1 -1⟩
|2.410
|-
|[[2875/2873]]
|[0 0 3 0 0 -2 -1 0 1⟩
|1.205
|-
|[[2888/2883]]
|[3 -1 0 0 0 0 0 2 0 0 -2⟩
|3.000
|-
|[[2890/2883]]
|[1 -1 1 0 0 0 2 0 0 0 -2⟩
|4.198
|-
|[[2926/2925]]
|[1 -2 -2 1 1 -1 0 1⟩
|0.592
|-
|[[2945/2944]]
|[-7 0 1 0 0 0 0 1 -1 0 1⟩
|0.588
|-
|[[3025/3024]]
|[-4 -3 2 -1 2⟩
|0.572
|-
|[[3060/3059]]
|[2 2 1 -1 0 0 1 -1 -1⟩
|0.566
|-
|[[3136/3135]]
|[6 -1 -1 2 -1 0 0 -1⟩
|0.552
|-
|[[3179/3174]]
|[-1 -1 0 0 1 0 2 0 -2⟩
|2.725
|-
|[[3213/3211]]
|[0 3 0 1 0 -2 1 -1⟩
|1.078
|-
|[[3220/3219]]
|[2 -1 1 1 0 0 0 0 1 -1 0 -1⟩
|0.538
|-
|[[3249/3248]]
|[-4 2 0 -1 0 0 0 2 0 -1⟩
|0.533
|-
|[[3250/3249]]
|[1 -2 3 0 0 1 0 -2⟩
|0.533
|-
|[[3256/3255]]
|[3 -1 -1 -1 1 0 0 0 0 0 -1 1⟩
|0.532
|-
|[[3325/3321]]
|[0 -4 2 1 0 0 0 1 0 0 0 0 -1⟩
|2.084
|-
|[[3367/3364]]
|[-2 0 0 1 0 1 0 0 0 -2 0 1⟩
|1.543
|-
|[[3367/3366]]
|[-1 -2 0 1 -1 1 -1 0 0 0 0 1⟩
|0.514
|-
|[[3381/3380]]
|[-2 1 -1 2 0 -2 0 0 1⟩
|0.512
|-
|[[3400/3393]]
|[3 -2 2 0 0 -1 1 0 0 -1⟩
|3.568
|-
|[[3451/3450]]
|[-1 -1 -2 1 0 0 1 0 -1 1⟩
|0.502
|-
|[[3510/3509]]
|[1 3 1 0 -2 1 0 0 0 -1⟩
|0.493
|-
|[[3515/3509]]
|[0 0 1 0 -2 0 0 1 0 -1 0 1⟩
|2.958
|-
|[[3520/3519]]
|[6 -2 1 0 1 0 -1 0 -1⟩
|0.492
|-
|[[3553/3549]]
|[0 -1 0 -1 1 -2 1 1⟩
|1.950
|-
|[[3553/3552]]
|[-5 -1 0 0 1 0 1 1 0 0 0 -1⟩
|0.487
|-
|[[3565/3564]]
|[-2 -4 1 0 -1 0 0 0 1 0 1⟩
|0.486
|-
|[[3567/3565]]
|[0 1 -1 0 0 0 0 0 -1 1 -1 0 1⟩
|0.971
|-
|[[3626/3625]]
|[1 0 -3 2 0 0 0 0 0 -1 0 1⟩
|0.478
|-
|[[3690/3689]]
|[1 2 1 -1 0 0 -1 0 0 0 -1 0 1⟩
|0.469
|-
|[[3705/3703]]
|[0 1 1 -1 0 1 0 1 -2⟩
|0.935
|-
|[[3731/3726]]
|[-1 -4 0 1 0 1 0 0 -1 0 0 0 1⟩
|2.322
|-
|[[3757/3751]]
|[0 0 0 0 -2 1 2 0 0 0 -1⟩
|2.767
|-
|[[3773/3770]]
|[-1 0 -1 3 1 -1 0 0 0 -1⟩
|1.377
|-
|[[3773/3772]]
|[-2 0 0 3 1 0 0 0 -1 0 0 0 -1⟩
|0.459
|-
|[[3774/3773]]
|[1 1 0 -3 -1 0 1 0 0 0 0 1⟩
|0.459
|-
|[[3875/3872]]
|[-5 0 3 0 -2 0 0 0 0 0 1⟩
|1.341
|-
|[[3876/3875]]
|[2 1 -3 0 0 0 1 1 0 0 -1⟩
|0.447
|-
|[[3888/3887]]
|[4 5 0 0 0 -2 0 0 -1⟩
|0.445
|-
|[[3895/3887]]
|[0 0 1 0 0 -2 0 1 -1 0 0 0 1⟩
|3.559
|-
|[[3895/3888]]
|[-4 -5 1 0 0 0 0 1 0 0 0 0 1⟩
|3.114
|-
|[[3969/3968]]
|[-7 4 0 2 0 0 0 0 0 0 -1⟩
|0.436
|-
|[[3971/3968]]
|[-7 0 0 0 1 0 0 2 0 0 -1⟩
|1.308
|-
|[[3971/3969]]
|[0 -4 0 -2 1 0 0 2⟩
|0.872
|-
|[[4000/3993]]
|[5 -1 3 0 -3⟩
|3.032
|-
|[[4060/4059]]
|[2 -2 1 1 -1 0 0 0 0 1 0 0 -1⟩
|0.426
|-
|[[4096/4095]]
|[12 -2 -1 -1 0 -1⟩
|0.423
|-
|[[4125/4123]]
|[0 1 3 -1 1 0 0 -1 0 0 -1⟩
|0.840
|-
|[[4186/4185]]
|[1 -3 -1 1 0 1 0 0 1 0 -1⟩
|0.414
|-
|[[4200/4199]]
|[3 1 2 1 0 -1 -1 -1⟩
|0.412
|-
|[[4225/4224]]
|[-7 -1 2 0 -1 2⟩
|0.410
|-
|[[4235/4232]]
|[-3 0 1 1 2 0 0 0 -2⟩
|1.227
|-
|[[4256/4255]]
|[5 0 -1 1 0 0 0 1 -1 0 0 -1⟩
|0.407
|-
|[[4264/4263]]
|[3 -1 0 -2 0 1 0 0 0 -1 0 0 1⟩
|0.406
|-
|[[4305/4301]]
|[0 1 1 1 -1 0 -1 0 -1 0 0 0 1⟩
|1.609
|-
|[[4352/4347]]
|[8 -3 0 -1 0 0 1 0 -1⟩
|1.990
|-
|[[4403/4394]]
|[-1 0 0 1 0 -3 1 0 0 0 0 1⟩
|3.542
|-
|[[4403/4400]]
|[-4 0 -2 1 -1 0 1 0 0 0 0 1⟩
|1.180
|-
|[[4437/4433]]
|[0 2 0 0 -1 -1 1 0 0 1 -1⟩
|1.561
|-
|[[4440/4433]]
|[3 1 1 0 -1 -1 0 0 0 0 -1 1⟩
|2.732
|-
|[[4459/4455]]
|[0 -4 -1 3 -1 1⟩
|1.554
|-
|[[4480/4477]]
|[7 0 1 1 -2 0 0 0 0 0 0 -1⟩
|1.160
|-
|[[4551/4550]]
|[-1 1 -2 -1 0 -1 0 0 0 0 0 1 1⟩
|0.380
|-
|[[4624/4617]]
|[4 -5 0 0 0 0 2 -1⟩
|2.623
|-
|[[4625/4617]]
|[0 -5 3 0 0 0 0 -1 0 0 0 1⟩
|2.997
|-
|[[4625/4624]]
|[-4 0 3 0 0 0 -2 0 0 0 0 1⟩
|0.374
|-
|[[4641/4640]]
|[-5 1 -1 1 0 1 1 0 0 -1⟩
|0.373
|-
|[[4674/4669]]
|[1 1 0 -1 0 0 0 1 -1 -1 0 0 1⟩
|1.853
|-
|[[4675/4669]]
|[0 0 2 -1 1 0 1 0 -1 -1⟩
|2.223
|-
|[[4675/4674]]
|[-1 -1 2 0 1 0 1 -1 0 0 0 0 -1⟩
|0.370
|-
|[[4693/4692]]
|[-2 -1 0 0 0 1 -1 2 -1⟩
|0.369
|-
|[[4715/4712]]
|[-3 0 1 0 0 0 0 -1 1 0 -1 0 1⟩
|1.102
|-
|[[4750/4743]]
|[1 -2 3 0 0 0 -1 1 0 0 -1⟩
|2.553
|-
|[[4785/4784]]
|[-4 1 1 0 1 -1 0 0 -1 1⟩
|0.362
|-
|[[4802/4797]]
|[1 -2 0 4 0 -1 0 0 0 0 0 0 -1⟩
|1.804
|-
|[[4807/4805]]
|[0 0 -1 0 1 0 0 1 1 0 -2⟩
|0.720
|-
|[[4810/4807]]
|[1 0 1 0 -1 1 0 -1 -1 0 0 1⟩
|1.080
|-
|[[4879/4875]]
|[0 -1 -3 1 0 -1 1 0 0 0 0 0 1⟩
|1.420
|-
|[[4913/4901]]
|[0 0 0 0 0 -2 3 0 0 -1⟩
|4.234
|-
|[[4921/4920]]
|[-3 -1 -1 1 0 0 0 1 0 0 0 1 -1⟩
|0.352
|-
|[[4960/4959]]
|[5 -2 1 0 0 0 0 -1 0 -1 1⟩
|0.349
|-
|[[4961/4959]]
|[0 -2 0 0 2 0 0 -1 0 -1 0 0 1⟩
|0.698
|-
|[[4961/4960]]
|[-5 0 -1 0 2 0 0 0 0 0 -1 0 1⟩
|0.349
|-
|[[4992/4991]]
|[7 1 0 -1 0 1 0 0 -1 0 -1⟩
|0.347
|-
|[[4995/4991]]
|[0 3 1 -1 0 0 0 0 -1 0 -1 1⟩
|1.387
|-
|[[5000/4991]]
|[3 0 4 -1 0 0 0 0 -1 0 -1⟩
|3.119
|-
|[[5054/5049]]
|[1 -3 0 1 -1 0 -1 2⟩
|1.714
|-
|[[5083/5082]]
|[-1 -1 0 -1 -2 1 1 0 1⟩
|0.341
|-
|[[5084/5083]]
|[2 0 0 0 0 -1 -1 0 -1 0 1 0 1⟩
|0.341
|-
|[[5104/5103]]
|[4 -6 0 -1 1 0 0 0 0 1⟩
|0.339
|-
|[[5244/5239]]
|[2 1 0 0 0 -2 0 1 1 0 -1⟩
|1.651
|-
|[[5248/5239]]
|[7 0 0 0 0 -2 0 0 0 0 -1 0 1⟩
|2.972
|-
|[[5250/5239]]
|[1 1 3 1 0 -2 0 0 0 0 -1⟩
|3.631
|-
|[[5291/5290]]
|[-1 0 -1 0 1 1 0 0 -2 0 0 1⟩
|0.327
|-
|[[5292/5291]]
|[2 3 0 2 -1 -1 0 0 0 0 0 -1⟩
|0.327
|-
|[[5415/5408]]
|[-5 1 1 0 0 -2 0 2⟩
|2.239
|-
|[[5425/5423]]
|[0 0 2 1 -1 0 -1 0 0 -1 1⟩
|0.638
|-
|[[5439/5434]]
|[-1 1 0 2 -1 -1 0 -1 0 0 0 1⟩
|1.592
|-
|[[5440/5439]]
|[6 -1 1 -2 0 0 1 0 0 0 0 -1⟩
|0.318
|-
|[[5453/5445]]
|[0 -2 -1 1 -2 0 0 1 0 0 0 0 1⟩
|2.542
|-
|[[5491/5481]]
|[0 -3 0 -1 0 0 2 1 0 -1⟩
|3.156
|-
|[[5491/5488]]
|[-4 0 0 -3 0 0 2 1⟩
|0.946
|-
|[[5600/5589]]
|[5 -5 2 1 0 0 0 0 -1⟩
|3.404
|-
|[[5625/5624]]
|[-3 2 4 0 0 0 0 -1 0 0 0 -1⟩
|0.308
|-
|[[5635/5632]]
|[-9 0 1 2 -1 0 0 0 1⟩
|0.922
|-
|[[5643/5642]]
|[-1 3 0 -1 1 -1 0 1 0 0 -1⟩
|0.307
|-
|[[5684/5681]]
|[2 0 0 2 0 -1 0 -1 -1 1⟩
|0.914
|-
|[[5735/5733]]
|[0 -2 1 -2 0 -1 0 0 0 0 1 1⟩
|0.604
|-
|[[5776/5775]]
|[4 -1 -2 -1 -1 0 0 2⟩
|0.300
|-
|[[5797/5796]]
|[-2 -2 0 -1 1 0 1 0 -1 0 1⟩
|0.299
|-
|[[5800/5797]]
|[3 0 2 0 -1 0 -1 0 0 1 -1⟩
|0.896
|-
|[[5824/5819]]
|[6 0 0 1 -1 1 0 0 -2⟩
|1.487
|-
|[[5831/5819]]
|[0 0 0 3 -1 0 1 0 -2⟩
|3.566
|-
|[[5863/5859]]
|[0 -3 0 -1 1 1 0 0 0 0 -1 0 1⟩
|1.182
|-
|[[5865/5863]]
|[0 1 1 0 -1 -1 1 0 1 0 0 0 -1⟩
|0.590
|-
|[[5888/5887]]
|[8 0 0 -1 0 0 0 0 1 -2⟩
|0.294
|-
|[[5890/5887]]
|[1 0 1 -1 0 0 0 1 0 -2 1⟩
|0.882
|-
|[[5916/5915]]
|[2 1 -1 -1 0 -2 1 0 0 1⟩
|0.293
|-
|[[5929/5928]]
|[-3 -1 0 2 2 -1 0 -1⟩
|0.292
|-
|[[5957/5952]]
|[-6 -1 0 1 0 0 0 0 1 0 -1 1⟩
|1.454
|-
|[[5985/5984]]
|[-5 2 1 1 -1 0 -1 1⟩
|0.289
|-
|[[6068/6061]]
|[2 0 0 0 -1 0 0 -1 0 -1 0 1 1⟩
|1.998
|-
|[[6069/6061]]
|[0 1 0 1 -1 0 2 -1 0 -1⟩
|2.284
|-
|[[6069/6068]]
|[-2 1 0 1 0 0 2 0 0 0 0 -1 -1⟩
|0.285
|-
|[[6076/6075]]
|[2 -5 -2 2 0 0 0 0 0 0 1⟩
|0.285
|-
|[[6175/6171]]
|[0 -1 2 0 -2 1 -1 1⟩
|1.122
|-
|[[6175/6174]]
|[-1 -2 2 -3 0 1 0 1⟩
|0.280
|-
|[[6250/6237]]
|[1 -4 5 -1 -1⟩
|3.605
|-
|[[6256/6253]]
|[4 0 0 0 0 -2 1 0 1 0 0 -1⟩
|0.830
|-
|[[6273/6272]]
|[-7 2 0 -2 0 0 1 0 0 0 0 0 1⟩
|0.276
|-
|[[6290/6279]]
|[1 -1 1 -1 0 -1 1 0 -1 0 0 1⟩
|3.030
|-
|[[6293/6292]]
|[-2 0 0 1 -2 -1 0 0 0 1 1⟩
|0.275
|-
|[[6325/6318]]
|[-1 -5 2 0 1 -1 0 0 1⟩
|1.917
|-
|[[6325/6324]]
|[-2 -1 2 0 1 0 -1 0 1 0 -1⟩
|0.274
|-
|[[6327/6325]]
|[0 2 -2 0 -1 0 0 1 -1 0 0 1⟩
|0.547
|-
|[[6355/6348]]
|[-2 -1 1 0 0 0 0 0 -2 0 1 0 1⟩
|1.908
|-
|[[6358/6355]]
|[1 0 -1 0 1 0 2 0 0 0 -1 0 -1⟩
|0.817
|-
|[[6422/6417]]
|[1 -2 0 0 0 2 0 1 -1 0 -1⟩
|1.348
|-
|[[6480/6479]]
|[4 4 1 0 -1 0 0 -1 0 0 -1⟩
|0.267
|-
|[[6517/6512]]
|[-4 0 0 3 -1 0 0 1 0 0 0 -1⟩
|1.329
|-
|[[6601/6591]]
|[0 -1 0 1 0 -3 0 0 1 0 0 0 1⟩
|2.625
|-
|[[6601/6600]]
|[-3 -1 -2 1 -1 0 0 0 1 0 0 0 1⟩
|0.262
|-
|[[6647/6642]]
|[-1 -4 0 0 0 0 2 0 1 0 0 0 -1⟩
|1.303
|-
|[[6650/6647]]
|[1 0 2 1 0 0 -2 1 -1⟩
|0.781
|-
|[[6656/6655]]
|[9 0 -1 0 -3 1⟩
|0.260
|-
|[[6664/6655]]
|[3 0 -1 2 -3 0 1⟩
|2.340
|-
|[[6670/6669]]
|[1 -3 1 0 0 -1 0 -1 1 1⟩
|0.260
|-
|[[6728/6727]]
|[3 0 0 -1 0 0 0 0 0 2 -2⟩
|0.257
|-
|[[6732/6727]]
|[2 2 0 -1 1 0 1 0 0 0 -2⟩
|1.286
|-
|[[6845/6831]]
|[0 -3 1 0 -1 0 0 0 -1 0 0 2⟩
|3.544
|-
|[[6859/6851]]
|[0 0 0 0 0 -1 -1 3 0 0 -1⟩
|2.020
|-
|[[6860/6851]]
|[2 0 1 3 0 -1 -1 0 0 0 -1⟩
|2.273
|-
|[[6860/6859]]
|[2 0 1 3 0 0 0 -3⟩
|0.252
|-
|[[6882/6877]]
|[1 1 0 0 0 -1 0 0 -2 0 1 1⟩
|1.258
|-
|[[6885/6877]]
|[0 4 1 0 0 -1 1 0 -2⟩
|2.013
|-
|[[6888/6877]]
|[3 1 0 1 0 -1 0 0 -2 0 0 0 1⟩
|2.767
|-
|[[6902/6897]]
|[1 -1 0 1 -2 0 1 -1 0 1⟩
|1.255
|-
|[[6919/6912]]
|[-8 -3 0 0 1 0 1 0 0 0 0 1⟩
|1.752
|-
|[[6919/6916]]
|[-2 0 0 -1 1 -1 1 -1 0 0 0 1⟩
|0.751
|-
|[[6930/6929]]
|[1 2 1 1 1 -2 0 0 0 0 0 0 -1⟩
|0.250
|-
|[[6936/6929]]
|[3 1 0 0 0 -2 2 0 0 0 0 0 -1⟩
|1.748
|-
|[[6993/6992]]
|[-4 3 0 1 0 0 0 -1 -1 0 0 1⟩
|0.248
|-
|[[7011/7007]]
|[0 2 0 -2 -1 -1 0 1 0 0 0 0 1⟩
|0.988
|-
|[[7105/7104]]
|[-6 -1 1 2 0 0 0 0 0 1 0 -1⟩
|0.244
|-
|[[7106/7105]]
|[1 0 -1 -2 1 0 1 1 0 -1⟩
|0.244
|-
|[[7163/7161]]
|[0 -1 0 -1 -1 1 0 1 0 1 -1⟩
|0.483
|-
|[[7168/7163]]
|[10 0 0 1 0 -1 0 -1 0 -1⟩
|1.208
|-
|[[7175/7163]]
|[0 0 2 1 0 -1 0 -1 0 -1 0 0 1⟩
|2.898
|-
|[[7203/7192]]
|[-3 1 0 4 0 0 0 0 0 -1 -1⟩
|2.646
|-
|[[7216/7215]]
|[4 -1 -1 0 1 -1 0 0 0 0 0 -1 1⟩
|0.240
|-
|[[7225/7216]]
|[-4 0 2 0 -1 0 2 0 0 0 0 0 -1⟩
|2.158
|-
|[[7344/7337]]
|[4 3 0 0 -1 0 1 0 -1 -1⟩
|1.651
|-
|[[7350/7337]]
|[1 1 2 2 -1 0 0 0 -1 -1⟩
|3.065
|-
|[[7425/7424]]
|[-8 3 2 0 1 0 0 0 0 -1⟩
|0.233
|-
|[[7429/7424]]
|[-8 0 0 0 0 0 1 1 1 -1⟩
|1.166
|-
|[[7429/7425]]
|[0 -3 -2 0 -1 0 1 1 1⟩
|0.932
|-
|[[7511/7502]]
|[-1 0 0 1 -2 0 0 0 0 1 -1 1⟩
|2.076
|-
|[[7514/7511]]
|[1 0 0 -1 0 1 2 0 0 -1 0 -1⟩
|0.691
|-
|[[7540/7533]]
|[2 -5 1 0 0 1 0 0 0 1 -1⟩
|1.608
|-
|[[7544/7533]]
|[3 -5 0 0 0 0 0 0 1 0 -1 0 1⟩
|2.526
|-
|[[7546/7533]]
|[1 -5 0 3 1 0 0 0 0 0 -1⟩
|2.985
|-
|[[7585/7569]]
|[0 -2 1 0 0 0 0 0 0 -2 0 1 1⟩
|3.656
|-
|[[7585/7581]]
|[0 -1 1 -1 0 0 0 -2 0 0 0 1 1⟩
|0.913
|-
|[[7616/7605]]
|[6 -2 -1 1 0 -2 1⟩
|2.502
|-
|[[7657/7656]]
|[-3 -1 0 0 -1 1 0 1 0 -1 1⟩
|0.226
|-
|[[7659/7657]]
|[0 2 0 0 0 -1 0 -1 1 0 -1 1⟩
|0.452
|-
|[[7667/7657]]
|[0 0 0 0 1 -1 1 -1 0 0 -1 0 1⟩
|2.260
|-
|[[7667/7659]]
|[0 -2 0 0 1 0 1 0 -1 0 0 -1 1⟩
|1.807
|-
|[[7695/7688]]
|[-3 4 1 0 0 0 0 1 0 0 -2⟩
|1.576
|-
|[[7696/7695]]
|[4 -4 -1 0 0 1 0 -1 0 0 0 1⟩
|0.225
|-
|[[7733/7728]]
|[-4 -1 0 -1 1 0 0 1 -1 0 0 1⟩
|1.120
|-
|[[7735/7733]]
|[0 0 1 1 -1 1 1 -1 0 0 0 -1⟩
|0.448
|-
|[[7749/7744]]
|[-6 3 0 1 -2 0 0 0 0 0 0 0 1⟩
|1.117
|-
|[[7750/7749]]
|[1 -3 3 -1 0 0 0 0 0 0 1 0 -1⟩
|0.223
|-
|[[7866/7865]]
|[1 2 -1 0 -2 -1 0 1 1⟩
|0.220
|-
|[[7872/7865]]
|[6 1 -1 0 -2 -1 0 0 0 0 0 0 1⟩
|1.540
|-
|[[7889/7888]]
|[-4 0 0 3 0 0 -1 0 1 -1⟩
|0.219
|-
|[[7905/7904]]
|[-5 1 1 0 0 -1 1 -1 0 0 1⟩
|0.219
|-
|[[7936/7935]]
|[8 -1 -1 0 0 0 0 0 -2 0 1⟩
|0.218
|-
|[[7942/7935]]
|[1 -1 -1 0 1 0 0 2 -2⟩
|1.527
|-
|[[8029/8019]]
|[0 -6 0 1 -1 0 0 0 0 0 1 1⟩
|2.158
|-
|[[8036/8019]]
|[2 -6 0 2 -1 0 0 0 0 0 0 0 1⟩
|3.666
|-
|[[8075/8064]]
|[-7 -2 2 -1 0 0 1 1⟩
|2.360
|-
|[[8092/8073]]
|[2 -3 0 1 0 -1 2 0 -1⟩
|4.070
|-
|[[8096/8091]]
|[5 -2 0 0 1 0 0 0 1 -1 -1⟩
|1.070
|-
|[[8125/8118]]
|[-1 -2 4 0 -1 1 0 0 0 0 0 0 -1⟩
|1.492
|-
|[[8281/8280]]
|[-3 -2 -1 2 0 2 0 0 -1⟩
|0.209
|-
|[[8303/8294]]
|[-1 0 0 0 -1 -1 0 2 1 -1⟩
|1.878
|-
|[[8323/8320]]
|[-7 0 -1 1 0 -1 0 0 0 1 0 0 1⟩
|0.624
|-
|[[8325/8323]]
|[0 2 2 -1 0 0 0 0 0 -1 0 1 -1⟩
|0.416
|-
|[[8381/8370]]
|[-1 -3 -1 0 0 0 2 0 0 1 -1⟩
|2.274
|-
|[[8381/8372]]
|[-2 0 0 -1 0 -1 2 0 -1 1⟩
|1.860
|-
|[[8381/8379]]
|[0 -2 0 -2 0 0 2 -1 0 1⟩
|0.413
|-
|[[8405/8398]]
|[-1 0 1 0 0 -1 -1 -1 0 0 0 0 2⟩
|1.442
|-
|[[8464/8463]]
|[4 -1 0 -1 0 -1 0 0 2 0 -1⟩
|0.205
|-
|[[8500/8487]]
|[2 -2 3 0 0 0 1 0 -1 0 0 0 -1⟩
|2.650
|-
|[[8526/8525]]
|[1 1 -2 2 -1 0 0 0 0 1 -1⟩
|0.203
|-
|[[8528/8525]]
|[4 0 -2 0 -1 1 0 0 0 0 -1 0 1⟩
|0.609
|-
|[[8569/8556]]
|[-2 -1 0 0 1 0 0 1 -1 0 -1 0 1⟩
|2.628
|-
|[[8569/8568]]
|[-3 -2 0 -1 1 0 -1 1 0 0 0 0 1⟩
|0.202
|-
|[[8575/8556]]
|[-2 -1 2 3 0 0 0 0 -1 0 -1⟩
|3.840
|-
|[[8575/8569]]
|[0 0 2 3 -1 0 0 -1 0 0 0 0 -1⟩
|1.212
|-
|[[8624/8619]]
|[4 -1 0 2 1 -2 -1⟩
|1.004
|-
|[[8625/8624]]
|[-4 1 3 -2 -1 0 0 0 1⟩
|0.201
|-
|[[8680/8671]]
|[3 0 1 1 0 -1 0 0 -1 -1 1⟩
|1.796
|-
|[[8856/8855]]
|[3 3 -1 -1 -1 0 0 0 -1 0 0 0 1⟩
|0.195
|-
|[[8897/8892]]
|[-2 -2 0 1 0 -1 0 -1 0 0 1 0 1⟩
|0.973
|-
|[[8959/8954]]
|[-1 0 0 0 -2 0 2 0 0 0 1 -1⟩
|0.966
|-
|[[8960/8959]]
|[8 0 1 1 0 0 -2 0 0 0 -1⟩
|0.193
|-
|[[8991/8990]]
|[-1 5 -1 0 0 0 0 0 0 -1 -1 1⟩
|0.193
|-
|[[8993/8990]]
|[-1 0 -1 0 0 0 1 0 2 -1 -1⟩
|0.578
|-
|[[8993/8991]]
|[0 -5 0 0 0 0 1 0 2 0 0 -1⟩
|0.385
|-
|[[9000/8993]]
|[3 2 3 0 0 0 -1 0 -2⟩
|1.347
|-
|[[9025/9009]]
|[0 -2 2 -1 -1 -1 0 2⟩
|3.072
|-
|[[9025/9016]]
|[-3 0 2 -2 0 0 0 2 -1⟩
|1.727
|-
|[[9065/9048]]
|[-3 -1 1 2 0 -1 0 0 0 -1 0 1⟩
|3.250
|-
|[[9065/9061]]
|[0 0 1 2 0 -1 -1 0 0 0 0 1 -1⟩
|0.764
|-
|[[9139/9135]]
|[0 -2 -1 -1 0 1 0 1 0 -1 0 1⟩
|0.758
|-
|[[9177/9176]]
|[-3 1 0 1 0 0 0 1 1 0 -1 -1⟩
|0.189
|-
|[[9261/9251]]
|[0 3 0 3 -1 0 0 0 0 -2⟩
|1.870
|-
|[[9280/9269]]
|[6 0 1 0 0 -1 0 0 -1 1 -1⟩
|2.053
|-
|[[9317/9315]]
|[0 -4 -1 1 3 0 0 0 -1⟩
|0.372
|-
|[[9361/9360]]
|[-4 -2 -1 0 1 -1 0 0 1 0 0 1⟩
|0.185
|-
|[[9367/9360]]
|[-4 -2 -1 0 0 -1 1 1 0 1⟩
|1.294
|-
|[[9367/9361]]
|[0 0 0 0 -1 0 1 1 -1 1 0 -1⟩
|1.109
|-
|[[9375/9361]]
|[0 1 5 0 -1 0 0 0 -1 0 0 -1⟩
|2.587
|-
|[[9375/9367]]
|[0 1 5 0 0 0 -1 -1 0 -1⟩
|1.478
|-
|[[9425/9424]]
|[-4 0 2 0 0 1 0 -1 0 1 -1⟩
|0.184
|-
|[[9435/9424]]
|[-4 1 1 0 0 0 1 -1 0 0 -1 1⟩
|2.020
|-
|[[9472/9471]]
|[8 -1 0 -1 -1 0 0 0 0 0 0 1 -1⟩
|0.183
|-
|[[9500/9477]]
|[2 -6 3 0 0 -1 0 1⟩
|4.196
|-
|[[9583/9568]]
|[-5 0 0 1 0 -1 0 0 -1 0 0 2⟩
|2.712
|-
|[[9583/9570]]
|[-1 -1 -1 1 -1 0 0 0 0 -1 0 2⟩
|2.350
|-
|[[9758/9747]]
|[1 -3 0 1 0 0 1 -2 0 0 0 0 1⟩
|1.953
|-
|[[9775/9768]]
|[-3 -1 2 0 -1 0 1 0 1 0 0 -1⟩
|1.240
|-
|[[9802/9801]]
|[1 -4 0 0 -2 2 0 0 0 1⟩
|0.177
|-
|[[9826/9801]]
|[1 -4 0 0 -2 0 3⟩
|4.410
|-
|[[9947/9936]]
|[-4 -3 0 3 0 0 0 0 -1 1⟩
|1.916
|-
|[[9947/9945]]
|[0 -2 -1 3 0 -1 -1 0 0 1⟩
|0.348
|}


== Scales ==
== Scales ==
Retrieved from "https://en.xen.wiki/w/311edo"