1ed65c: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{todo|merge articles|inline=1|text=Merge into [[37ed4]]?}}
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
'''65-cent equal temperament''' ('''65cET''', also known as '''1ed65c''' or '''APS65¢'''), is an [[equal]] [[nonoctave]] scale generated by making a continuous chain of intervals of exactly 65¢. It is a good tuning in the 2.3.5.7.11.13.27 subgroup, and is closely related to [[37edo]] and [[37ed4]]. 37 degrees of 1ed65c is exactly 2405¢, which is the 4/1 double octave plus 5¢. Thus, 1ed65c can be seen as a stretched version of 37ed4.
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-11-19 23:23:36 UTC</tt>.<br>
: The original revision id was <tt>277308554</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">65cET is an [[equal]] [[nonoctave]] scale generated by making a continuous chain of intervals of exactly 65¢. It is a good tuning in the 2.3.5.7.11.13.27 subgroup, and is closely related to [[37edo]] and [[37ED4]]. 37 degrees of 65cET is exactly 2405¢, which is the 4/1 double octave plus 5¢. Thus, 65cET can be seen as a stretched version of 37ED4.


A characteristic pentad of 65cET is 8:10:13:14:22 and it's utonal inversion.
== Theory ==
A characteristic pentad of 1ed65c is 8:10:13:14:22 and it's utonal inversion.


==Intervals==  
=== Harmonics ===
{{harmonics in cet|65}}


||~ Degree of 65cET ||~ Cents Value ||
== Intervals ==
|| 0 || 0 ||
{| class="wikitable"
|| 1 || 65 ||
|-
|| 2 || 130 ||
! | Degree of 1ed65c
|| 3 || 195 ||
! | Cents Value
|| 4 || 260 ||
|-
|| 5 || 325 ||
| | 0
|| 6 || 390 ||
| | 0
|| 7 || 455 ||
|-
|| 8 || 520 ||
| | 1
|| 9 || 585 ||
| | 65
|| 10 || 650 ||
|-
|| 11 || 715 ||
| | 2
|| 12 || 780 ||
| | 130
|| 13 || 845 ||
|-
|| 14 || 910 ||
| | 3
|| 15 || 975 ||
| | 195
|| 16 || 1040 ||
|-
|| 17 || 1105 ||
| | 4
|| 18 || 1170 ||
| | 260
|| 19 || 1235 ||
|-
|| 20 || 1300 ||
| | 5
|| 21 || 1365 ||
| | 325
|| 22 || 1430 ||
|-
|| 23 || 1495 ||
| | 6
|| 24 || 1560 ||
| | 390
|| 25 || 1625 ||
|-
|| 26 || 1690 ||
| | 7
|| 27 || 1755 ||
| | 455
|| 28 || 1820 ||
|-
|| 29 || 1885 ||
| | 8
|| 30 || 1950 ||
| | 520
|| 31 || 2015 ||
|-
|| 32 || 2080 ||
| | 9
|| 33 || 2145 ||
| | 585
|| 34 || 2210 ||
|-
|| 35 || 2275 ||
| | 10
|| 36 || 2340 ||
| | 650
|| 37 || 2405 ||</pre></div>
|-
<h4>Original HTML content:</h4>
| | 11
<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;65cET&lt;/title&gt;&lt;/head&gt;&lt;body&gt;65cET is an &lt;a class="wiki_link" href="/equal"&gt;equal&lt;/a&gt; &lt;a class="wiki_link" href="/nonoctave"&gt;nonoctave&lt;/a&gt; scale generated by making a continuous chain of intervals of exactly 65¢. It is a good tuning in the 2.3.5.7.11.13.27 subgroup, and is closely related to &lt;a class="wiki_link" href="/37edo"&gt;37edo&lt;/a&gt; and &lt;a class="wiki_link" href="/37ED4"&gt;37ED4&lt;/a&gt;. 37 degrees of 65cET is exactly 2405¢, which is the 4/1 double octave plus 5¢. Thus, 65cET can be seen as a stretched version of 37ED4.&lt;br /&gt;
| | 715
&lt;br /&gt;
|-
A characteristic pentad of 65cET is 8:10:13:14:22 and it's utonal inversion.&lt;br /&gt;
| | 12
&lt;br /&gt;
| | 780
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Intervals&lt;/h2&gt;
|-
&lt;br /&gt;
| | 13
| | 845
|-
| | 14
| | 910
|-
| | 15
| | 975
|-
| | 16
| | 1040
|-
| | 17
| | 1105
|-
| | 18
| | 1170
|-
| | 19
| | 1235
|-
| | 20
| | 1300
|-
| | 21
| | 1365
|-
| | 22
| | 1430
|-
| | 23
| | 1495
|-
| | 24
| | 1560
|-
| | 25
| | 1625
|-
| | 26
| | 1690
|-
| | 27
| | 1755
|-
| | 28
| | 1820
|-
| | 29
| | 1885
|-
| | 30
| | 1950
|-
| | 31
| | 2015
|-
| | 32
| | 2080
|-
| | 33
| | 2145
|-
| | 34
| | 2210
|-
| | 35
| | 2275
|-
| | 36
| | 2340
|-
| | 37
| | 2405
|}


== Music ==
* [http://chrisvaisvil.com/?p=2319 Slumber of Thought] by [[Chris Vaisvil]]
* [http://micro.soonlabel.com/65cET_37ed4/20120527-65ct-malathion.mp3 Malathion in 65cET] by Chris Vaisvil


&lt;table class="wiki_table"&gt;
[[Category:37ed4]]
    &lt;tr&gt;
        &lt;th&gt;Degree of 65cET&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Cents Value&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;0&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;65&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;130&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;195&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;260&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;325&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;390&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;455&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;520&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;585&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;650&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;715&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;780&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;845&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;910&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;975&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;1040&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1105&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1170&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1235&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1300&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1365&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1430&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1495&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1560&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;25&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;26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1690&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1755&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;28&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1820&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;29&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1885&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1950&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2015&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2080&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2145&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2210&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2275&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;36&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2340&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;37&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2405&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;/body&gt;&lt;/html&gt;</pre></div>