9edf: Difference between revisions

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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 ===
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! rowspan="2" |Name
! rowspan="2" |Name
! rowspan="2" |Step pattern within 1 period
! rowspan="2" |Step pattern within 1 period
! colspan="2" |Interval of repetition
! colspan="3" |Interval of repetition
! rowspan="2" |First described by
! rowspan="2" |First described by
|-
|-
!(in 9edf steps)
!(in 9edf steps)
!(in cents)
!(in cents)
!(nearby JI)
|-
|-
|Molten [[slendro]]
|Molten [[slendro]]
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|3
|3
|234.0
|234.0
|[[8/7]]
|''[[Budjarn Lambeth]] (2023)''
|''[[Budjarn Lambeth]] (2023)''
|-
|-
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|9
|9
|702.0
|702.0
|[[3/2]]
|''Budjarn Lambeth (2023)''
|''Budjarn Lambeth (2023)''
|-
|-
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|9
|9
|702.0
|702.0
|[[3/2]]
|''Budjarn Lambeth (2023)''
|''Budjarn Lambeth (2023)''
|-
|-
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|9
|9
|702.0
|702.0
|[[3/2]]
|''Budjarn Lambeth (2023)''
|''Budjarn Lambeth (2023)''
|-
|-
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|16
|16
|1247.9
|1247.9
|[[33/16]]
|''Budjarn Lambeth (2023)''
|''Budjarn Lambeth (2023)''
|-
|-
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|31
|31
|2417.8
|2417.8
|[[4/1]]
|''Budjarn Lambeth (2023)''
|''Budjarn Lambeth (2023)''
|-
|-
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|46
|46
|3587.8
|3587.8
|[[8/1]]
|''Budjarn Lambeth (2023)''
|''Budjarn Lambeth (2023)''
|-
|-
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|62
|62
|4835.7
|4835.7
|[[16/1]]
|''Budjarn Lambeth (2023)''
|''Budjarn Lambeth (2023)''
|-
|-
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|72
|72
|5615.6
|5615.6
|[[128/5]]
|''Budjarn Lambeth (2023)''
|''Budjarn Lambeth (2023)''
|-
|-
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|135
|135
|10529.3
|10529.3
|[[437/1]]
|''Budjarn Lambeth (2023)''
|''Budjarn Lambeth (2023)''
|}
|}