49ed7: 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>
'''49ED7''' is the [[Ed7|equal division of the 7th harmonic]] into 49 parts of 68.7515 [[cent|cents]] each. It is similar to every second step of [[35edo]].
: This revision was by author [[User:jauernig|jauernig]] and made on <tt>2016-07-21 02:10:57 UTC</tt>.<br>
: The original revision id was <tt>587325555</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">Divides the seventh harmonics into 49 equal steps. It is similar to every second step of [[35edo]].


49
== Intervals ==
!
{| class="wikitable mw-collapsible"
68.75155
|+ Intervals of 49ed7
137.50310
|-
206.25465
! | degree
275.00620
! | cents value
343.75775
! | corresponding <br>JI intervals
412.50929
! | comments
481.26084
|-
550.01239
| | 0
618.76394
| | 0.00000
687.51549
| | '''exact [[1/1]]'''
756.26704
| |
825.01859
|-
893.77014
| | 1
962.52169
| | 68.75155
1031.27324
| | [[26/25]], [[25/24]]
1100.02479
| |
1168.77633
|-
1237.52788
| | 2
1306.27943
| | 137.50310
1375.03098
| | [[13/12]]
1443.78253
| |
1512.53408
|-
1581.28563
| | 3
1650.03718
| | 206.25465
1718.78873
| | [[9/8]]
1787.54028
| |
1856.29183
|-
1925.04338
| | 4
1993.79492
| | 275.00620
2062.54647
| | 27/23
2131.29802
| |
2200.04957
|-
2268.80112
| | 5
2337.55267
| | 343.75775
2406.30422
| | 39/32
2475.05577
| |
2543.80732
|-
2612.55887
| | 6
2681.31042
| | 412.50929
2750.06196
| | 33/26
2818.81351
| |
2887.56506
|-
2956.31661
| | 7
3025.06816
| | 481.26084
3093.81971
| | 33/25, 119/90
3162.57126
| |
3231.32281
|-
3300.07436
| | 8
7/1
| | 550.01239
| | [[11/8]]
| |
|-
| | 9
| | 618.76394
| | [[10/7]], 63/44
| |
|-
| | 10
| | 687.51549
| | 49/33
| |
|-
| | 11
| | 756.26704
| | 161/104
| |
|-
| | 12
| | 825.01859
| | 161/100
| |
|-
| | 13
| | 893.77014
| | 77/46, 161/96
| |
|-
| | 14
| | 962.52169
| | 68/39
| |
|-
| | 15
| | 1031.27324
| | 49/27
| |
|-
| | 16
| | 1100.02479
| | [[17/9]]
| |
|-
| | 17
| | 1168.77633
| | 100/51, 51/26, 108/55, 55/28, 112/57
| |
|-
| | 18
| | 1237.52788
| | [[50/49|100/49]], [[49/48|49/24]], [[45/44|45/22]]
| |
|-
| | 19
| | 1306.27943
| | [[17/16|17/8]]
| |
|-
| | 20
| | 1375.03098
| | 133/60
| |
|-
| | 21
| | 1443.78253
| | 23/10
| |
|-
| | 22
| | 1512.53408
| | [[12/5]]
| |
|-
| | 23
| | 1581.28563
| |
| |
|-
| | 24
| | 1650.03718
| | 70/27
| |
|-
| | 25
| | 1718.78873
| | [[27/20|27/10]]
| |
|-
| | 26
| | 1787.54028
| | 160/57
| |
|-
| | 27
| | 1856.29183
| | 35/12
| |
|-
| | 28
| | 1925.04338
| | 70/23
| |
|-
| | 29
| | 1993.79492
| | [[30/19|60/19]]
| |
|-
| | 30
| | 2062.54647
| | 23/7
| |
|-
| | 31
| | 2131.29802
| | [[12/7|24/7]]
| |
|-
| | 32
| | 2200.04957
| | 57/16
| |
|-
| | 33
| | 2268.80112
| | 63/17
| |
|-
| | 34
| | 2337.55267
| | 27/7
| |
|-
| | 35
| | 2406.30422
| | 273/68
| |
|-
| | 36
| | 2475.05577
| | 96/23, 46/11
| |
|-
| | 37
| | 2543.80732
| | 100/23
| |
|-
| | 38
| | 2612.55887
| | 104/23
| |
|-
| | 39
| | 2681.31042
| | 33/7
| |
|-
| | 40
| | 2750.06196
| | [[11/9|44/9]], [[49/40|49/10]]
| |
|-
| | 41
| | 2818.81351
| | [[14/11|56/11]]
| |
|-
| | 42
| | 2887.56506
| | 90/17, 175/33
| |
|-
| | 43
| | 2956.31661
| |
| |
|-
| | 44
| | 3025.06816
| |
| |
|-
| | 45
| | 3093.81971
| | 161/27
| |
|-
| | 46
| | 3162.57126
| | [[14/9|56/9]]
| |
|-
| | 47
| | 3231.32281
| | [[21/13|84/13]]
| |
|-
| | 48
| | 3300.07436
| | [[42/25|168/25]], 175/26
| |
|-
| | 49
| | 3368.82591
| | '''exact [[7/1]]'''
| | [[7/4|harmonic seventh]] plus two octaves
|}


===[[#x--Music]]Music===  
== Harmonics ==
[[http://soundcloud.com/ahornberg/sets/49ed7|49ed7]] by Ahornberg</pre></div>
{{Harmonics in equal|49|7|1}}
<h4>Original HTML content:</h4>
{{Harmonics in equal|49|7|1|collapsed=1|start=12}}
<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;49ed7&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Divides the seventh harmonics into 49 equal steps. It is similar to every second step of &lt;a class="wiki_link" href="/35edo"&gt;35edo&lt;/a&gt;.&lt;br /&gt;
 
&lt;br /&gt;
== Music ==
49&lt;br /&gt;
* [http://soundcloud.com/ahornberg/sets/49ed7 49ed7] by [[Ahornberg]]
!&lt;br /&gt;
 
68.75155&lt;br /&gt;
{{todo|expand}}
137.50310&lt;br /&gt;
[[Category:Listen]]
206.25465&lt;br /&gt;
275.00620&lt;br /&gt;
343.75775&lt;br /&gt;
412.50929&lt;br /&gt;
481.26084&lt;br /&gt;
550.01239&lt;br /&gt;
618.76394&lt;br /&gt;
687.51549&lt;br /&gt;
756.26704&lt;br /&gt;
825.01859&lt;br /&gt;
893.77014&lt;br /&gt;
962.52169&lt;br /&gt;
1031.27324&lt;br /&gt;
1100.02479&lt;br /&gt;
1168.77633&lt;br /&gt;
1237.52788&lt;br /&gt;
1306.27943&lt;br /&gt;
1375.03098&lt;br /&gt;
1443.78253&lt;br /&gt;
1512.53408&lt;br /&gt;
1581.28563&lt;br /&gt;
1650.03718&lt;br /&gt;
1718.78873&lt;br /&gt;
1787.54028&lt;br /&gt;
1856.29183&lt;br /&gt;
1925.04338&lt;br /&gt;
1993.79492&lt;br /&gt;
2062.54647&lt;br /&gt;
2131.29802&lt;br /&gt;
2200.04957&lt;br /&gt;
2268.80112&lt;br /&gt;
2337.55267&lt;br /&gt;
2406.30422&lt;br /&gt;
2475.05577&lt;br /&gt;
2543.80732&lt;br /&gt;
2612.55887&lt;br /&gt;
2681.31042&lt;br /&gt;
2750.06196&lt;br /&gt;
2818.81351&lt;br /&gt;
2887.56506&lt;br /&gt;
2956.31661&lt;br /&gt;
3025.06816&lt;br /&gt;
3093.81971&lt;br /&gt;
3162.57126&lt;br /&gt;
3231.32281&lt;br /&gt;
3300.07436&lt;br /&gt;
7/1&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc0"&gt;&lt;a name="x--Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;!-- ws:start:WikiTextAnchorRule:2:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@x&amp;amp;#45;-Music&amp;quot; title=&amp;quot;Anchor: x&amp;amp;#45;-Music&amp;quot;/&amp;gt; --&gt;&lt;a name="x--Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:2 --&gt;Music&lt;/h3&gt;
&lt;a class="wiki_link_ext" href="http://soundcloud.com/ahornberg/sets/49ed7" rel="nofollow"&gt;49ed7&lt;/a&gt; by Ahornberg&lt;/body&gt;&lt;/html&gt;</pre></div>