20edf: Difference between revisions

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 {{Infobox ET}}
-'''20edf''' is very close to the [[Carlos Gamma]] tuning.
+{{ED intro}}
-==Intervals==
+== Theory ==
+edf corresponds to 34.1902edo. It is closely related to [[Carlos Gamma]], where Carlos Gamma, and similarly the [[gammic]] temperament, can be seen as 20edf with an independent dimension for 2 (although strictly speaking, the "canonical" optimized Carlos Gamma tuning is not exactly 20edf, with its fifth stretched by the microscopic amount of 0.016{{c}}). It very accurately represents the intervals [[5/4]], with 11 steps, and [[17/16]], with 3 steps.
+=== Harmonics ===
+{{Harmonics in equal|20|3|2|columns=11}}
+{{Harmonics in equal|20|3|2|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 20edf (continued)}}
+== Intervals ==
 The first steps up to two just perfect fifths should give a feeling of the granularity of this system…
 {| class="wikitable mw-collapsible"
@@ Line 13: / Line 20: @@
 |35.1
 |-
-| |2
+|2
-| |70.2
+|70.2
 |-
-| |3
+|3
-| |105.29
+|105.29
 |-
-| |4
+|4
-| |140.39
+|140.39
 |-
-| |5
+|5
-| |175.49
+|175.49
 |-
-| |6
+|6
-| |210.59
+|210.59
 |-
-| |7
+|7
-| |245.68
+|245.68
 |-
-| |8
+|8
-| |280.78
+|280.78
 |-
-| |9
+|9
-| |315.88
+|315.88
 |-
-| |10
+|10
-| |350.98
+|350.98
 |-
-| |11
+|11
-| |386.075
+|386.075
 |-
-| |12
+|12
-| |421.17
+|421.17
 |-
-| |13
+|13
-| |456.27
+|456.27
 |-
-| |14
+|14
-| |491.37
+|491.37
 |-
-| |15
+|15
-| |526.47
+|526.47
 |-
-| |16
+|16
-| |561.56
+|561.56
 |-
-| |17
+|17
-| |596.66
+|596.66
 |-
-| |18
+|18
-| |631.76
+|631.76
 |-
-| |19
+|19
-| |666.86
+|666.86
 |-
-| |20
+|20
-| |701.955
+|701.955
 |-
 |21
@@ Line 130: / Line 137: @@
 |1403.91
 |}
-== Harmonics ==
-{{Harmonics in equal|20|3|2|intervals=prime}}
-{{Harmonics in equal|20|3|2|start=12|collapsed=1|intervals=prime}}
 {{stub}}