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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:Kosmorsky|Kosmorsky]] and made on <tt>2011-12-26 16:11:47 UTC</tt>.<br>
: The original revision id was <tt>288515854</tt>.<br>
: The revision comment was: <tt></tt><br>
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>
<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">=10 ED 3/2=


Lookalikes: [[17edo]]
== Theory ==
10edf is related to [[17edo]], but with the [[3/2|perfect fifth]] rather than the [[2/1|octave]] being just. The octave is compressed by about 6.68{{c}}, a small but significant deviation. 10edf is [[consistent]] to the [[integer limit|7-integer-limit]], but not to the 8-integer-limit. In comparison, 17edo is only consistent up to the 4-integer-limit. This makes 10edf a suitable tuning perhaps in the [[5-limit]], but overcompressed in any other limits, as well as the no-5 13-limit, where 17edo is best at.


Music:
=== Harmonics ===
[[http://www.archive.org/details/10Edf]] - Kosmorsky</pre></div>
{{Harmonics in equal|10|3|2|intervals=integer|columns=11}}
<h4>Original HTML content:</h4>
{{Harmonics in equal|10|3|2|intervals=integer|columns=12|start=12|collapsed=true|Approximation of harmonics in 10edf (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;10edf&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x10 ED 3/2"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;10 ED 3/2&lt;/h1&gt;
 
&lt;br /&gt;
=== Subsets and supersets ===
Lookalikes: &lt;a class="wiki_link" href="/17edo"&gt;17edo&lt;/a&gt;&lt;br /&gt;
Since 10 factors into primes as {{nowrap| 2 × 5 }}, 10edf contains [[2edf]] and [[5edf]] as subset edfs.
&lt;br /&gt;
 
Music:&lt;br /&gt;
== Intervals ==
&lt;a class="wiki_link_ext" href="http://www.archive.org/details/10Edf" rel="nofollow"&gt;http://www.archive.org/details/10Edf&lt;/a&gt; - Kosmorsky&lt;/body&gt;&lt;/html&gt;</pre></div>
{| class="wikitable center-all right-2"
|-
! #
! Cents
! [[1L 3s (fifth-equivalent)|Neptunian]] notation<br>using 8\10edf
! [[Ed9/4|Neapolitan]] notation<br>using 3/10edf
|-
| 0
| 0.0
| C
| F
|-
| 1
| 70.2
| ^C, vDb
| F^, Gb
|-
| 2
| 140.4
| C#, Db
| F#, Gd
|-
| 3
| 210.6
| vD
| G
|-
| 4
| 280.8
| D
| G^, Ab
|-
| 5
| 351.0
| ^D, vE
| G#, Ad
|-
| 6
| 421.2
| E
| A
|-
| 7
| 491.4
| ^E, vF
| A^, Hb
|-
| 8
| 561.6
| F
| A#, Hd
|-
| 9
| 631.8
| ^F, vC
| H
|-
| 10
| 702.0
| C
| B
|-
| 11
| 772.2
| ^C, vDb
| B^, Cb
|-
| 12
| 842.3
| C#, Db
| B#, Cd
|-
| 13
| 912.5
| vD
| C
|-
| 14
| 982.7
| D
| C^, Db
|-
| 15
| 1052.9
| ^D, vE
| C#, Dd
|-
| 16
| 1123.1
| E
| D
|-
| 17
| 1193.3
| ^E, vF
| D^, Eb
|-
| 18
| 1263.5
| F
| D#, Eb
|-
| 19
| 1333.7
| ^F, vC
| E
|-
| 20
| 1403.9
| C
| F
|}
 
== Music ==
; [[Peter Kosmorsky]]
* [https://www.archive.org/details/10Edf ''10 edf''] (archived 2011)
 
== See also ==
* [[17edo]] – relative edo
* [[27edt]] – relative edt
* [[44ed6]] – relative ed6
 
[[Category:Listen]]
Retrieved from "https://en.xen.wiki/w/10edf"