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**Imported revision 526068290 - Original comment: **
Fredg999 (talk | contribs)
autopatrolled, Interface administrators, Sysops
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Propose merge (very similar tunings)
 
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{todo|merge articles|inline=1|text=Merge [[4ed4/3]] and [[1ed125c]]?}}
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
{{Infobox ET|48ed32}}
: This revision was by author [[User:vaisvil|vaisvil]] and made on <tt>2014-10-11 14:31:34 UTC</tt>.<br>
: The original revision id was <tt>526068290</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">=125cET=
 
This [[nonoctave]] tuning uses equal steps of 125 cents each. This could be considered dividing the 500 cent perfect fourth into 4 equal parts.
 
|| ordinal number || interval name || cents ||
|| 0 ||  || 0 ||
|| 1 || 2/3-tone, trienthird || 125 ||
|| 2 || semifourth || 250 ||
|| 3 || narrow perde segah,
marvelous major third,
near just major third || 375 ||
|| 4 || perfect fourth || 500 ||
|| 5 || pental diminished fifth,
classic diminshed fifth || 625 ||
|| 6 || septendecimal subminor sixth || 750 ||
|| 7 || major sixth || 875 ||
|| 8 || Pythagorean minor seventh || 1000 ||
|| 9 || classic ([[xenharmonic/5-limit|5-limit]]) diminished octave. || 1125 ||
|| 10 ||  || 1250 ||
|| 11 ||  || 1375 ||
|| 12 ||  || 1500 ||
|| 13 ||  || 1625 ||
|| 14 ||  || 1750 ||
|| 15 ||  || 1875 ||
|| 16 ||  || 2000 ||


'''1 equal division of 125¢''' ('''1ed125c'''), also known as '''arithmetic pitch sequence of 125¢''' ('''APS125¢'''), is a [[nonoctave]] tuning using equal steps of 125 cents each. This could be considered as dividing the approximate [[perfect fourth]] of 500 cents into 4 equal parts, making it very slightly stretched [[4ed4/3]].  It is equivalent to 9.6[[edo]], and is a subset of [[48edo]] (every fifth step). Therefore, it can be regarded as 48ed32.
{{harmonics in cet|125}}
== Intervals ==
{| class="wikitable"
|-
! | Degree
! | Cents
! | Associated ratios
! | Interval name
|-
| | 0
| | 0
| | [[1/1]]
| | unison
|-
| | 1
| | 125
| | [[14/13]], [[15/14]]
| | 2/3-tone, trienthird
|-
| | 2
| | 250
| | [[15/13]], [[22/19]]
| | semifourth
|-
| | 3
| | 375
| | [[5/4]]
| | narrow perde segah, marvelous major third, near just major third
|-
| | 4
| | 500
| | [[4/3]]
| | perfect fourth
|-
| | 5
| | 625
| | [[10/7]], [[23/16]]
| | pental diminished fifth, classic diminshed fifth
|-
| | 6
| | 750
| | [[17/11]], [[20/13]]
| | septendecimal subminor sixth
|-
| | 7
| | 875
| | [[5/3]]
| | major sixth
|-
| | 8
| | 1000
| | [[16/9]]
| | Pythagorean minor seventh
|-
| | 9
| | 1125
| | [[21/11]], [[23/12]]
| | classic ([[5-limit|5-limit]]) diminished octave
|-
| | 10
| | 1250
| | [[33/16]]
| |
|-
| | 11
| | 1375
| |
| |
|-
| | 12
| | 1500
| |
| |
|-
| | 13
| | 1625
| |
| |
|-
| | 14
| | 1750
| |
| |
|-
| | 15
| | 1875
| |
| |
|-
| | 16
| | 2000
| |
| |
|}


==Scala file==
<pre>
! E:\cakewalk\scales\125cent.scl
! E:\cakewalk\scales\125cent.scl
!
!
Line 42: Line 109:
375.00000
375.00000
500.00000
500.00000
</pre>


__Example music with this tuning__
==Music==
 
*[http://chrisvaisvil.com/canyon-diablo-fall/ Canyon Diablo Fall] by [[Chris Vaisvil]]
[[http://chrisvaisvil.com/canyon-diablo-fall/|Canyon Diablo Fall]]
**http://micro.soonlabel.com/125cent/20130317_125cent.mp3
[[http://chrisvaisvil.com/crossing-over-125cet/|Crossing Over]]</pre></div>
*[http://chrisvaisvil.com/crossing-over-125cet/ Crossing Over] by [[Chris Vaisvil]] (125cET is an outdated name for this tuning system, standing for "125-cent equal temperament")
<h4>Original HTML content:</h4>
**http://micro.soonlabel.com/125cent/20141011_125ct_crossing_over.mp3
<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;125cET&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="x125cET"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;125cET&lt;/h1&gt;
&lt;br /&gt;
This &lt;a class="wiki_link" href="/nonoctave"&gt;nonoctave&lt;/a&gt; tuning uses equal steps of 125 cents each. This could be considered dividing the 500 cent perfect fourth into 4 equal parts.&lt;br /&gt;
&lt;br /&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;ordinal number&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;interval name&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;cents&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;0&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2/3-tone, trienthird&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;125&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;semifourth&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;250&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;narrow perde segah,&lt;br /&gt;
marvelous major third,&lt;br /&gt;
near just major third&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;375&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;perfect fourth&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;500&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;pental diminished fifth,&lt;br /&gt;
classic diminshed fifth&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;625&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;septendecimal subminor sixth&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;750&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;major sixth&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;875&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Pythagorean minor seventh&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1000&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;classic (&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/5-limit"&gt;5-limit&lt;/a&gt;) diminished octave.&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1125&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1250&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1375&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1500&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1625&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1750&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1875&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2000&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;br /&gt;
[[Category:listen]]
&lt;br /&gt;
[[Category:nonoctave]]
! E:\cakewalk\scales\125cent.scl&lt;br /&gt;
!&lt;br /&gt;
125 cent tuning&lt;br /&gt;
4&lt;br /&gt;
!&lt;br /&gt;
125.00000&lt;br /&gt;
250.00000&lt;br /&gt;
375.00000&lt;br /&gt;
500.00000&lt;br /&gt;
&lt;br /&gt;
&lt;u&gt;Example music with this tuning&lt;/u&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/canyon-diablo-fall/" rel="nofollow"&gt;Canyon Diablo Fall&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/crossing-over-125cet/" rel="nofollow"&gt;Crossing Over&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
Retrieved from "https://en.xen.wiki/w/1ed125c"