9ed4/3: Difference between revisions

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 == Intervals ==
-{{Interval table|9ed4/3}}
+ed4/3 has good approximations of [[5/4]] and [[11/10]] (the latter from [[3ed4/3]]) and their fourth-complements. Treated as a 4/3.5/4.11/8 temperament, it tempers out the commas [[4000/3993]] and [[5632/5625]], a structure that is identical to [[escapade]]. [[32/31]] can additionally be added as a representation of a single step, tempering out [[961/960|S31]] and [[1024/1023|S32]].
+All ratios in the below table are in the 88-integer-limit.
+{| class="wikitable sortable center-1 right-2"
+! &#35;
+! Cents
+! class="unsortable" | Approximate ratios
+|-
+| 0
+| 0.0
+| '''1/1'''
+|-
+| 1
+| 55.338
+| 33/32, 32/31, 31/30
+|-
+| 2
+| 110.677
+| 16/15, 33/31
+|-
+| 3
+| 166.015
+| 11/10
+|-
+| 4
+| 221.353
+| 25/22
+|-
+| 5
+| 276.692
+| 75/64, 88/75
+|-
+| 6
+| 332.030
+| 40/33
+|-
+| 7
+| 387.368
+| 5/4
+|-
+| 8
+| 442.707
+| 31/24, 40/31
+|-
+| 9
+| 498.045
+| '''exact [[4/3]]'''
+|}
 == Harmonics ==