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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
=Division of the 5/1 into 17 tones=
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:guest|guest]] and made on <tt>2011-12-31 21:40:59 UTC</tt>.<br>
: The original revision id was <tt>288945041</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">=Division of the 5/1 into 17 tones=  


A hyperpyth tuning, 17ed5 offers a good compromise between 13/5 and 17/5, but the 9/5 of 983 cents is a little bit flat. However, in hyperpyth, 21/5 isn't necessarily represented, at least not as well. In 17ed5, the 21/5 is represented about as well as the 9/5 is, although that's not too good. Luckily, 27, 29, and 39 do a fair job of it. Nevertheless it's the simplest equal hyperpyth after 5ed5, and quite consonant. I imagine it to be the traditional tonality of the tiny creatures living on subatomic particles.
A hyperpyth tuning, 17ed5 offers a good compromise between 13/5 and 17/5, but the 9/5 of 983 cents is a little bit flat. However, in hyperpyth, 21/5 isn't necessarily represented, at least not as well. In 17ed5, the 21/5 is represented about as well as the 9/5 is, although that's not too good. Luckily, 27, 29, and 39 do a fair job of it. Nevertheless it's the simplest equal hyperpyth after 5ed5, and quite consonant. I imagine it to be the traditional tonality of the tiny creatures living on subatomic particles.
Line 13: Line 6:


22ed5 focuses on 9/5
22ed5 focuses on 9/5
27ed5 focuses on 13/5
27ed5 focuses on 13/5
29ed5 focuses on 17/5
29ed5 focuses on 17/5
(and 34=17*2)
(and 34=17*2)


so: 22+27+29=78=39*2
so: 22+27+29=78=39*2
and behold, of the lot, 39ed5 offers the best balance between those intervals.
and behold, of the lot, 39ed5 offers the best balance between those intervals.


|| 0: 0.000 cents || 1/1 ||   ||
{| class="wikitable"
|| 1: 163.901 ||   ||   ||
|-
|| 2: 327.802 ||   ||   ||
| | 0: 0.000 cents
|| 3: 491.702 ||   ||   ||
| | 1/1
|| 4: 655.603 ||   ||   ||
| |  
|| 5: 819.504 ||   ||   ||
|-
|| 6: 983.405 || 9/5, 16/9, 7/4 || 1017 ||
| | 1: 163.901
|| 7: 1147.306 ||   ||   ||
| |  
|| 8: 1311.206 ||   ||   ||
| |  
|| 9: 1475.107 ||   ||   ||
|-
|| 10: 1639.008 || 13/5 || 1654 ||
| | 2: 327.802
|| 11: 1802.909 ||   ||   ||
| |  
|| 12: 1966.810 ||   ||   ||
| |  
|| 13: 2130.710 || 17/5 || 2118 ||
|-
|| 14: 2294.611 ||   ||   ||
| | 3: 491.702
|| 15: 2458.512 || (21/5) || 2486 ||
| |  
|| 16: 2622.413 ||   ||   ||
| |  
|| 17: 2786.314 || 5/1 ||   ||</pre></div>
|-
<h4>Original HTML content:</h4>
| | 4: 655.603
<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;17ed5&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="Division of the 5/1 into 17 tones"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Division of the 5/1 into 17 tones&lt;/h1&gt;
| |  
&lt;br /&gt;
| |  
A hyperpyth tuning, 17ed5 offers a good compromise between 13/5 and 17/5, but the 9/5 of 983 cents is a little bit flat. However, in hyperpyth, 21/5 isn't necessarily represented, at least not as well. In 17ed5, the 21/5 is represented about as well as the 9/5 is, although that's not too good. Luckily, 27, 29, and 39 do a fair job of it. Nevertheless it's the simplest equal hyperpyth after 5ed5, and quite consonant. I imagine it to be the traditional tonality of the tiny creatures living on subatomic particles.&lt;br /&gt;
|-
&lt;br /&gt;
| | 5: 819.504
But wait, an interesting pattern emerges:&lt;br /&gt;
| |  
&lt;br /&gt;
| |  
22ed5 focuses on 9/5&lt;br /&gt;
|-
27ed5 focuses on 13/5&lt;br /&gt;
| | 6: 983.405
29ed5 focuses on 17/5&lt;br /&gt;
| | 9/5, 16/9, 7/4
(and 34=17*2)&lt;br /&gt;
| | 1017
&lt;br /&gt;
|-
so: 22+27+29=78=39*2&lt;br /&gt;
| | 7: 1147.306
and behold, of the lot, 39ed5 offers the best balance between those intervals.&lt;br /&gt;
| |  
&lt;br /&gt;
| |  
 
|-
 
| | 8: 1311.206
&lt;table class="wiki_table"&gt;
| |  
    &lt;tr&gt;
| |  
        &lt;td&gt;0: 0.000 cents&lt;br /&gt;
|-
&lt;/td&gt;
| | 9: 1475.107
        &lt;td&gt;1/1&lt;br /&gt;
| |  
&lt;/td&gt;
| |  
        &lt;td&gt;&lt;br /&gt;
|-
&lt;/td&gt;
| | 10: 1639.008
    &lt;/tr&gt;
| | 13/5
    &lt;tr&gt;
| | 1654
        &lt;td&gt;1: 163.901&lt;br /&gt;
|-
&lt;/td&gt;
| | 11: 1802.909
        &lt;td&gt;&lt;br /&gt;
| |  
&lt;/td&gt;
| |  
        &lt;td&gt;&lt;br /&gt;
|-
&lt;/td&gt;
| | 12: 1966.810
    &lt;/tr&gt;
| |  
    &lt;tr&gt;
| |  
        &lt;td&gt;2: 327.802&lt;br /&gt;
|-
&lt;/td&gt;
| | 13: 2130.710
        &lt;td&gt;&lt;br /&gt;
| | 17/5
&lt;/td&gt;
| | 2118
        &lt;td&gt;&lt;br /&gt;
|-
&lt;/td&gt;
| | 14: 2294.611
    &lt;/tr&gt;
| |  
    &lt;tr&gt;
| |  
        &lt;td&gt;3: 491.702&lt;br /&gt;
|-
&lt;/td&gt;
| | 15: 2458.512
        &lt;td&gt;&lt;br /&gt;
| | (21/5)
&lt;/td&gt;
| | 2486
        &lt;td&gt;&lt;br /&gt;
|-
&lt;/td&gt;
| | 16: 2622.413
    &lt;/tr&gt;
| |  
    &lt;tr&gt;
| |  
        &lt;td&gt;4: 655.603&lt;br /&gt;
|-
&lt;/td&gt;
| | 17: 2786.314
        &lt;td&gt;&lt;br /&gt;
| | 5/1
&lt;/td&gt;
| |  
        &lt;td&gt;&lt;br /&gt;
|}
&lt;/td&gt;
[[Category:ed5]]
    &lt;/tr&gt;
[[Category:edonoi]]
    &lt;tr&gt;
[[Category:todo:add_sound_examples]]
        &lt;td&gt;5: 819.504&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6: 983.405&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9/5, 16/9, 7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1017&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7: 1147.306&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8: 1311.206&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9: 1475.107&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10: 1639.008&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1654&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11: 1802.909&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12: 1966.810&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13: 2130.710&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2118&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14: 2294.611&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15: 2458.512&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;(21/5)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2486&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16: 2622.413&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17: 2786.314&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5/1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;/body&gt;&lt;/html&gt;</pre></div>
Retrieved from "https://en.xen.wiki/w/17ed5"