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218edo: Difference between revisions

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Wikispaces>PiotrGrochowski
**Imported revision 590543556 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
'''<span style="font-size: 400%;">218 equal divisions per octave</span>'''
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
 
: This revision was by author [[User:PiotrGrochowski|PiotrGrochowski]] and made on <tt>2016-08-30 14:50:52 UTC</tt>.<br>
: The original revision id was <tt>590543556</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">**&lt;span style="font-size: 400%;"&gt;218 equal divisions per octave&lt;/span&gt;**
It contains very accurate ratios, here is the collection: 7/4, 11/8, 9/7, 8/7, 9/8, 10/9, 11/10, 17/16
It contains very accurate ratios, here is the collection: 7/4, 11/8, 9/7, 8/7, 9/8, 10/9, 11/10, 17/16
**Bold numbers are off within less than 0.1 step size**
 
|| fraction: || 3/2 || 4/3 || 5/4 || 8/5 || 5/3 || 6/5 || 7/4 || 8/7 || 10/9 || 9/5 || 9/8 || 16/9 ||
'''Bold numbers are off within less than 0.1 step size'''
|| steps in 218edo: || 128 || 90 || 70 || 148 || 161 || 57 || **176** || **42** || 33 || 185 || **37** || **181** ||
 
{| class="wikitable"
|-
| | fraction:
| | 3/2
| | 4/3
| | 5/4
| | 8/5
| | 5/3
| | 6/5
| | 7/4
| | 8/7
| | 10/9
| | 9/5
| | 9/8
| | 16/9
|-
| | steps in 218edo:
| | 128
| | 90
| | 70
| | 148
| | 161
| | 57
| | '''176'''
| | '''42'''
| | 33
| | 185
| | '''37'''
| | '''181'''
|}


It's great for 2.9.7.17 subgroup, and good for 2.9.5.7.11.17 subgroup.
It's great for 2.9.7.17 subgroup, and good for 2.9.5.7.11.17 subgroup.
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Tempers out 640000000000000000/635585924776181463 with patent 5, 7 and 9. This is the difference between three 7/4 ratios and sixteen 10/9 ratios stacked.
Tempers out 640000000000000000/635585924776181463 with patent 5, 7 and 9. This is the difference between three 7/4 ratios and sixteen 10/9 ratios stacked.


To handle accurate 3 along with everything mentioned, please explore [[436edo]].</pre></div>
To handle accurate 3 along with everything mentioned, please explore [[436edo|436edo]].
<h4>Original HTML content:</h4>
[[Category:31edo]]
<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;218edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;&lt;span style="font-size: 400%;"&gt;218 equal divisions per octave&lt;/span&gt;&lt;/strong&gt;&lt;br /&gt;
[[Category:what_is]]
It contains very accurate ratios, here is the collection: 7/4, 11/8, 9/7, 8/7, 9/8, 10/9, 11/10, 17/16&lt;br /&gt;
[[Category:wiki]]
&lt;strong&gt;Bold numbers are off within less than 0.1 step size&lt;/strong&gt;&lt;br /&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;fraction:&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4/3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5/3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16/9&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;steps in 218edo:&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;128&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;90&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;70&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;148&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;161&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;57&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;176&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;42&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;185&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;37&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;181&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
It's great for 2.9.7.17 subgroup, and good for 2.9.5.7.11.17 subgroup.&lt;br /&gt;
&lt;br /&gt;
Tempers out 640000000000000000/635585924776181463 with patent 5, 7 and 9. This is the difference between three 7/4 ratios and sixteen 10/9 ratios stacked.&lt;br /&gt;
&lt;br /&gt;
To handle accurate 3 along with everything mentioned, please explore &lt;a class="wiki_link" href="/436edo"&gt;436edo&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>
Retrieved from "https://en.xen.wiki/w/218edo"