9ed5/2: Difference between revisions

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
 {{ED intro}}
+== Theory ==
+ed5/2 can function as a generator chain for the [[tetracot]] temperament.
+=== Harmonics ===
+{{Harmonics in equal|9|5|2|columns=11}}
+{{Harmonics in equal|9|5|2|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 9ed5/2 (continued)}}
 == Intervals ==
-{| class="wikitable mw-collapsible"
+{| class="wikitable center-1 right-2"
-|+
+! #
-!Step
+! Cents
-!Interval (¢)
+! Approximated ratios
-!JI approximated
+|-
-!Simplified ratios
+| 0
+| 0
+| 1/1
 |-
-|1
+| 1
-|176.26
+| 176
-|21/19
+| 10/9, 11/10, 21/19
-|
 |-
-|2
+| 2
-|352.51
+| 353
-|32/26
+| 11/9, 16/13
-|16/13
 |-
-|3
+| 3
-|528.77
+| 529
-|19/14
+| 15/11, 19/14, 27/20
-|
 |-
-|4
+| 4
-|705.03
+| 705
-|21/14
+| 3/2
-|3/2
 |-
-|5
+| 5
-|881.29
+| 881
-|35/21, 43/26, 48/29
+| 5/3
-|5/3
 |-
-|6
+| 6
-|1057.54
+| 1058
-|26/14, 35/19, 48/26
+| 11/6, 24/13
-|13/7, 24/13
 |-
-|7
+| 7
-|1233.80
+| 1234
-|39/19, 43/21
+| 45/22
-|
 |-
-|8
+| 8
-|1410.06
+| 1410
-|43/19
+| 9/4
-|
 |-
-|9
+| 9
-|1586.31
+| 1586
-|5/2
+| 5/2
-|
 |}
-The subgroup interpretation used is 5/2.14.19.21.26.29.32.35.39.43.48. Other interpretations are possible. Don't forget that fractions can multiply.
-== Harmonics ==
-{{Harmonics in equal
-| steps = 9
-| num = 5
-| denom = 2
-}}
-{{Harmonics in equal
-| steps = 9
-| num = 5
-| denom = 2
-| start = 12
-| collapsed = 1
-}}
-{{stub}}