9edf: Difference between revisions

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 == Theory ==
-edf corresponds to 15.391524edo. It is closely related to [[Carlos Alpha]], and can be used as a temperament of the 3/2.5/4.7/8.11/8 subgroup. Carlos Alpha can be seen as 9edf with an independent dimension for 2.
+edf corresponds to 15.385602edo. It is closely related to [[Carlos Alpha]], and can be used as a temperament of the [[Half-prime subgroup|3/2.5/4.7/8.11/8 subgroup]]. Carlos Alpha can be seen as 9edf with an independent dimension for 2.
 === Harmonics ===
@@ Line 69: / Line 69: @@
 == Scales ==
+{| class="wikitable sortable"
-* Livewire^: 1 8 1 8 1 8...
+|+
-* Corrugated^: 2 7 2 7 2 7...
+! rowspan="2" |Name
-* Snowcone^: 3 6 3 6 3 6...
+! rowspan="2" |Step pattern within 1 period
-* Swan^: 4 5 4 5 4 5...
+! colspan="3" |Interval of repetition
-* Cloudscape^: 5 4 5 4 5 4...
+! rowspan="2" |First described by
-* Pylon^: 6 3 6 3 6 3...
+|-
-* Quest^: 7 2 7 2 7 2...
+!(in 9edf steps)
-* Purgatory^: 8 1 8 1 8 1...
+!(in cents)
-* Molten [[pelog]]^: 2 2 5 2 5 2 2 5 2 5...
+!(nearby JI)
-* Molten [[slendro]]^: 3 3 3 3 3 3...
+|-
+|Molten [[slendro]]
-(^ ''this is the original/default tuning'')
+|3
+|3
-For exact [[cents]] values see [[User:BudjarnLambeth/Longer versions of scales#9edf]].
+|234.0
+|[[8/7]]
+|''[[Budjarn Lambeth]] (2023)''
+|-
+|Pylon
+|6 3
+|9
+|702.0
+|[[3/2]]
+|''Budjarn Lambeth (2023)''
+|-
+|Quest
+|7 2
+|9
+|702.0
+|[[3/2]]
+|''Budjarn Lambeth (2023)''
+|-
+|Snowcone
+|3 6
+|9
+|702.0
+|[[3/2]]
+|''Budjarn Lambeth (2023)''
+|-
+|Molten [[pelog]]
+|2 2 5 2 5
+|16
+|1247.9
+|[[33/16]]
+|''Budjarn Lambeth (2023)''
+|-
+|Swan
+|4 5 4 5 4 5 4
+|31
+|2417.8
+|[[4/1]]
+|''Budjarn Lambeth (2023)''
+|-
+|Livewire
+|1 8 1 8 1 8 1 8 1 8 1
+|46
+|3587.8
+|[[8/1]]
+|''Budjarn Lambeth (2023)''
+|-
+|Purgatory
+|8 1 8 1 8 1 8 1 8 1 8 1 8
+|62
+|4835.7
+|[[16/1]]
+|''Budjarn Lambeth (2023)''
+|-
+|Cloudscape
+|5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5
+|72
+|5615.6
+|[[128/5]]
+|''Budjarn Lambeth (2023)''
+|-
+|Corrugated
+|2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2
+|135
+|10529.3
+|[[437/1]]
+|''Budjarn Lambeth (2023)''
+|}
+None of these scales are approximated from another tuning unless specified otherwise. For exact [[cents]] values see [[User:BudjarnLambeth/Longer versions of scales#9edf]].
 == Music ==