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== Theory ==
== Theory ==
9edf 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.  
9edf 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 ===
=== Harmonics ===
Line 69: Line 69:


== Scales ==
== Scales ==
Three [[period]]s shown per scale, with first period in '''bold'''.
{| class="wikitable sortable"
 
|+
* Livewire^: '''1 8 1 8 1 8 1 8 1 8 1''' <small><small>1 8 1 8 1 8 1 8 1 8 1 1 8 1 8 1 8 1 8 1 8 1...</small></small>
! rowspan="2" |Name
* 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''' <small><small>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 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...</small></small>
! rowspan="2" |Step pattern within 1 period
* Snowcone^: '''3 6''' <small><small>3 6 3 6...</small></small>
! colspan="3" |Interval of repetition
* Swan^: '''4 5 4 5 4 5 4''' <small><small>4 5 4 5 4 5 4 4 5 4 5 4 5 4</small></small>...
! rowspan="2" |First described by
* Cloudscape^: '''5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5''' <small><small>5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 55 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5...</small></small>
|-
* Pylon^: '''6 3''' <small><small>6 3 6 3...</small></small>
!(in 9edf steps)
* Quest^: '''7 2''' <small><small>7 2 7 2...</small></small>
!(in cents)
* Purgatory^: '''8 1 8 1 8 1 8 1 8 1 8 1 8''' <small><small>8 1 8 1 8 1 8 1 8 1 8 1 8 8 1 8 1 8 1 8 1 8 1 8 1 8...</small></small>
!(nearby JI)
* Molten [[pelog]]^: '''2 2 5 2 5''' <small><small>2 2 5 2 5 2 2 5 2 5...</small></small>
|-
* Molten [[slendro]]^: '''3''' <small><small>3 3...</small></small>
|Molten [[slendro]]
 
|3
(^ ''this is the original/default tuning'')
|3
 
|234.0
For exact [[cents]] values see [[User:BudjarnLambeth/Longer versions of scales#9edf]].
|[[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 ==
== Music ==
Retrieved from "https://en.xen.wiki/w/9edf"