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9edf: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{Infobox ET}}
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
{{ED intro}}
: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-12-27 01:13:25 UTC</tt>.<br>
 
: The original revision id was <tt>288541978</tt>.<br>
== Theory ==
: The revision comment was: <tt></tt><br>
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.  
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
 
<h4>Original Wikitext content:</h4>
=== Harmonics ===
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">Redirects to Carlos Alpha.</pre></div>
{{Harmonics in equal|9|3|2|columns=11}}
<h4>Original HTML content:</h4>
{{Harmonics in equal|9|3|2|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 9edf (continued)}}
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;9edf&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Redirects to Carlos Alpha.&lt;/body&gt;&lt;/html&gt;</pre></div>
 
== Intervals ==
{|class="wikitable center-1 right-2"
|-
! #
! Cents
! Approximate ratios
! [[1L 3s (fifth-equivalent)|Neptunian]] notation<br>using 7\9edf
|-
| 0
| 0.0
| [[1/1]]
| C
|-
| 1
| 78.0
| [[21/20]], [[22/21]], [[25/24]]
| C#
|-
| 2
| 156.0
| [[11/10]], [[12/11]]
| Db
|-
| 3
| 234.0
| [[8/7]]
| D
|-
| 4
| 312.0
| [[6/5]]
| D#, Eb
|-
| 5
| 390.0
| [[5/4]]
| E
|-
| 6
| 468.0
| [[21/16]]
| E#, Fb
|-
| 7
| 546.0
| [[11/8]], [[15/11]]
| F
|-
| 8
| 624.0
| [[10/7]], [[36/25]]
| F#, Cb
|-
| 9
| 701.9
| [[3/2]]
| C
|}
 
== Scales ==
{| class="wikitable sortable"
|+
! rowspan="2" |Name
! rowspan="2" |Step pattern within 1 period
! colspan="3" |Interval of repetition
! rowspan="2" |First described by
|-
!(in 9edf steps)
!(in cents)
!(nearby JI)
|-
|Molten [[slendro]]
|3
|3
|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 ==
See [[Carlos Alpha #Music]]. Many are tuned to exactly 9edf.
 
[[Category:Listen]]
Retrieved from "https://en.xen.wiki/w/9edf"