5L 3s: Difference between revisions

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 == Tuning ranges ==
 === Simple tunings ===
+{| class="wikitable right-2 right-3 right-4 sortable "
+|-
+! class="unsortable"|Degree
+! Size in 13edo (basic)
+! Size in 18edo (hard)
+! Size in 21edo (soft)
+! class="unsortable"| Note name on J
+! class="unsortable"| Approximate ratios<ref>The ratio interpretations that are not valid for 18edo are italicized.</ref>
+! #Gens up
+|-bgcolor="#eaeaff"
+| unison
+| 0\13, 0.00
+| 0\18, 0.00
+| 0\21, 0.00
+| J
+| 0
+|-
+| minor 1-step
+| 1\13, 92.31
+| 1\18, 66.67
+| 2\21, 114.29
+| K@
+| -5
+|-
+| major 1-step
+| 2\13, 184.62
+| 3\18, 200.00
+| 3\21, 171.43
+| K
+| +3
+|-bgcolor="#eaeaff"
+| minor 2-step
+| 3\13, 276.92
+| 4\18, 266.67
+| 5\21, 285.71
+| L
+| -2
+|-bgcolor="#eaeaff"
+| major 2-step
+| 4\13, 369.23
+| 6\18, 400.00
+| 6\21, 342.86
+| L&
+| +6
+|-
+| dim. 3-step
+| 4\13, 369.23
+| 5\18, 333.33
+| 7\21, 400.00
+| M@
+| -7
+|-
+| perf. 3-step
+| 5\13, 461.54
+| 7\18, 466.67
+| 8\21, 457.14
+| M
+| +1
+|-bgcolor="#eaeaff"
+| minor 4-step
+| 6\13, 553.85
+| 8\18, 533.33
+| 10\21, 571.43
+| N@
+| -4
+|-bgcolor="#eaeaff"
+| major 4-step
+| 7\13, 646.15
+| 10\18, 666.66
+| 11\31, 628.57
+| N
+| +4
+|-
+| perf. 5-step
+| 8\13, 738.46
+| 11\18, 733.33
+| 13\21, 742.86
+| O
+| -1
+|-
+| aug. 5-step
+| 9\13, 830.77
+| 13\18, 866.66
+| 14\21, 800.00
+| O&
+| +7
+|-bgcolor="#eaeaff"
+| minor 6-step
+| 9\13, 830.77
+| 12\18, 800.00
+| 15\21, 857.14
+| P@
+| -6
+|-bgcolor="#eaeaff"
+| major 6-step
+| 10\13, 923.08
+| 14\18, 933.33
+| 16\21, 914.29
+| P
+| 12/7
+| +2
+|-
+| minor 7-step
+| 11\13, 1015.39
+| 15\18, 1000.00
+| 18\21, 1028.57
+| Q
+| 9/5, 16/9
+| -3
+|-
+| major 7-step
+| 12\13, 1107.69
+| 17\18, 1133.33
+| 19\21, 1085.71
+| Q&
+|
+| +5
+|}
 === Hypohard ===
 [[Hypohard]] oneirotonic tunings (with generator between 5\13 and 7\18) have step ratios between 2/1 and 3/1.