7ed5/2: Difference between revisions

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 {{Infobox ET}}
-'''7ED5/2''' is the equal division of the [[5/2]] interval into 7 parts of 226.6162 [[cent]]s each, corresponding to 5.2953 [[EDO]]. It is related to the [[Porwell temperaments #Semaja|semaja temperament]]. Its patent val tempers out the same 5-limit commas as [[5edo|5EDO]], but mapping of 7 and higher prime harmonics differs to 5EDO.
+{{ED intro}}
-[[Category:Ed5/2]]
+== Theory ==
-[[Category:Nonoctave]]
+ed5/2 corresponds to 5.2953…[[edo]]. It can function as a generator chain for the [[llywelyn]] temperament. Its [[patent val]] tempers out the same 5-limit commas as [[5edo]], but the mapping of 7 and higher prime harmonics differs.
+=== Harmonics ===
+{{Harmonics in equal|7|5|2|columns=11}}
+{{Harmonics in equal|7|5|2|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 7ed5/2 (continued)}}
+== Intervals ==
+{| class="wikitable center-1 right-2"
+|+
+! #
+! Cents
+! Approximated ratio
+|-
+| 1
+| 227
+| 8/7, 25/22
+|-
+| 2
+| 453
+| 13/10
+|-
+| 3
+| 680
+| 65/44
+|-
+| 4
+| 906
+| 22/13
+|-
+| 5
+| 1133
+| 25/13
+|-
+| 6
+| 1360
+| 11/5, 35/16
+|-
+| 7
+| 1586
+| 5/2
+|}