13edf: 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:Kosmorsky|Kosmorsky]] and made on <tt>2011-08-26 23:41:49 UTC</tt>.<br>
-: The original revision id was <tt>248750263</tt>.<br>
+== Theory ==
-: The revision comment was: <tt></tt><br>
+edf corresponds to 22.2236[[edo]]. It is nearly identical to every ninth step of [[200edo]], but not quite similar to [[22edo]]; the octave is compressed by 12.076{{c}}, a deviation that is small but significant enough to create a discrepancy for the [[7/1|7th]] and [[11/1|11th]] harmonics.
-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"> </pre></div>
+{{Harmonics in equal|13|3|2|intervals=prime|columns=8}}
-<h4>Original HTML content:</h4>
+{{Harmonics in equal|13|3|2|start=9|intervals=prime|columns=8}}
-<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;13edf&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
+== Intervals ==
+{| class="wikitable mw-collapsible"
+|+ style="font-size: 105%;" | Intervals of 13edf
+|-
+! Degree
+! Cents
+! Corresponding<br />JI intervals
+! Comments
+|-
+! colspan="2" | 0
+| '''exact [[1/1]]'''
+|
+|-
+| 1
+| 53.9965
+| 33/32
+| pseudo-[[25/24]]
+|-
+| 2
+| 107.9931
+| [[17/16]], 117/110, [[16/15]]
+|
+|-
+| 3
+| 161.9896
+| [[11/10]]
+|
+|-
+| 4
+| 215.9862
+| [[17/15]]
+|
+|-
+| 5
+| 269.9827
+| [[7/6]]
+|
+|-
+| 6
+| 323.9792
+| [[77/64]]
+| pseudo-[[6/5]]
+|-
+| 7
+| 377.9758
+| 56/45
+| pseudo-[[5/4]]
+|-
+| 8
+| 431.9723
+| [[9/7]]
+|
+|-
+| 9
+| 485.9688
+| 45/34
+| pseudo-[[4/3]]
+|-
+| 10
+| 539.9654
+| [[15/11]]
+|
+|-
+| 11
+| 593.9619
+| 55/39, [[24/17]]
+|
+|-
+| 12
+| 647.9585
+| [[16/11]]
+|
+|-
+| 13
+| 701.9550
+| '''exact [[3/2]]'''
+| just perfect fifth
+|-
+| 14
+| 755.9515
+| 99/64
+|
+|-
+| 15
+| 809.9481
+| 51/32, [[8/5]]
+|
+|-
+| 16
+| 863.9446
+| 33/20
+|
+|-
+| 17
+| 917.9412
+| [[17/10]]
+|
+|-
+| 18
+| 971.9377
+| [[7/4]]
+|
+|-
+| 19
+| 1025.9342
+| [[29/16]]
+| pseudo-[[9/5]]
+|-
+| 20
+| 1079.9308
+| [[28/15]]
+| pseudo-[[15/8]]
+|-
+| 21
+| 1133.9273
+| 52/27, [[27/14]]
+|
+|-
+| 22
+| 1187.9238
+| 135/68
+| pseudo-[[octave]]
+|-
+| 23
+| 1241.9204
+| [[45/44|45/22]]
+|
+|-
+| 24
+| 1295.9169
+| [[19/18|19/9]], [[18/17|36/17]]
+|
+|-
+| 25
+| 1349.9135
+| [[12/11|24/11]]
+|
+|-
+| 26
+| 1403.9100
+| '''exact [[9/4]]'''
+| pythagorean major ninth
+|}
+{{stub}}
+[[Category:22edo]]