User:Moremajorthanmajor/13edIX: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This scale occurs in 12edo, where it is the equal division of the minor ninth.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:diagonalia|diagonalia]] and made on <tt>2017-01-03 18:00:58 UTC</tt>.<br>
: The original revision id was <tt>603048962</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">This scale occurs in 12edo, where it is the equal division of the minor ninth.
==Intervals==
||~ Degrees ||~ Octatonic ||~ Minimum ||~ Golden ||~ Median ||~ Mean ||~ ed(9/4) ||~ Maximum ||
|| 1 || A#/Bb || 98.4615 || 100.564 || 101.5385 || 104.615 || 107.993 || 110.769 ||
|| 2 || B || 196.923 || 201.128 || 203.077 || 209.308 || 215.986 || 221.5385 ||
|| 3 || C || 295.385 || 301.692 || 304.615 || 313.923 || 323.979 || 332.308 ||
|| 4 || C#/Db || 393.846 || 402.256 || 406.154 || 418.5385 || 431.972 || 443.076 ||
|| 5 || D || 492.308 || 502.82 || 507.692 || 523.231 || 539.965 || 553.846 ||
|| 6 || D#/Eb || 590.769 || 603.381 || 609.231 || 627.846 || 647.9585 || 664.615 ||
|| 7 || E || 689.231 || 703.948 || 710.769 || 732.154 || 755.9515 || 775.385 ||
|| 8 || F || 787.692 || 804.5115 || 812.308 || 836.769 || 863.945 || 886.154 ||
|| 9 || F#/Gb || 886.154 || 905.0755 || 913.846 || 941.4615 || 971.938 || 996.923 ||
|| 10 || G || 984.615 || 1005.639 || 1015.385 || 1046.077 || 1079.931 || 1107.692 ||
|| 11 || G#/Hb || 1083.077 || 1106.203 || 1116.923 || 1150.692 || 1187.924 || 1218.4615 ||
|| 12 || H || 1181.5385 || 1206.767 || 1218.4615 || 1255.385 || 1295.917 || 1329.231 ||
|| 13 || A || 1280 || 1307.331 || 1320 || 1360 || 1403.91 || 1440 ||</pre></div>
<h4>Original HTML 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;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;13edIX&lt;/title&gt;&lt;/head&gt;&lt;body&gt;This scale occurs in 12edo, where it is the equal division of the minor ninth.&lt;br /&gt;
&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;table class="wiki_table"&gt;
==Intervals==
    &lt;tr&gt;
        &lt;th&gt;Degrees&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Octatonic&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Minimum&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Golden&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Median&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Mean&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;ed(9/4)&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Maximum&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;A#/Bb&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;98.4615&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;100.564&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;101.5385&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;104.615&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;107.993&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;110.769&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;B&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;196.923&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;201.128&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;203.077&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;209.308&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;215.986&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;221.5385&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;C&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;295.385&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;301.692&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;304.615&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;313.923&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;323.979&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;332.308&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;C#/Db&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;393.846&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;402.256&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;406.154&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;418.5385&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;431.972&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;443.076&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;D&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;492.308&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;502.82&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;507.692&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;523.231&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;539.965&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;553.846&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;D#/Eb&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;590.769&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;603.381&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;609.231&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;627.846&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;647.9585&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;664.615&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;E&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;689.231&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;703.948&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;710.769&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;732.154&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;755.9515&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;775.385&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;F&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;787.692&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;804.5115&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;812.308&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;836.769&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;863.945&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;886.154&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;F#/Gb&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;886.154&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;905.0755&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;913.846&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;941.4615&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;971.938&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;996.923&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;G&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;984.615&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1005.639&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1015.385&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1046.077&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1079.931&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1107.692&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;G#/Hb&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1083.077&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1106.203&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1116.923&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1150.692&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1187.924&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1218.4615&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;H&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1181.5385&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1206.767&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1218.4615&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1255.385&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1295.917&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1329.231&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;A&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1280&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1307.331&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1320&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1360&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1403.91&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1440&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;/body&gt;&lt;/html&gt;</pre></div>
{| class="wikitable"
|-
! | Degrees
! | Octatonic
! | Minimum
! | Golden
! | Median
! | Mean
! | ed(9/4)
! | Maximum
|-
| | 1
| | A#/Bb
| | 98.4615
| | 100.564
| | 101.5385
| | 104.615
| | 107.993
| | 110.769
|-
| | 2
| | B
| | 196.923
| | 201.128
| | 203.077
| | 209.308
| | 215.986
| | 221.5385
|-
| | 3
| | C
| | 295.385
| | 301.692
| | 304.615
| | 313.923
| | 323.979
| | 332.308
|-
| | 4
| | C#/Db
| | 393.846
| | 402.256
| | 406.154
| | 418.5385
| | 431.972
| | 443.076
|-
| | 5
| | D
| | 492.308
| | 502.82
| | 507.692
| | 523.231
| | 539.965
| | 553.846
|-
| | 6
| | D#/Eb
| | 590.769
| | 603.381
| | 609.231
| | 627.846
| | 647.9585
| | 664.615
|-
| | 7
| | E
| | 689.231
| | 703.948
| | 710.769
| | 732.154
| | 755.9515
| | 775.385
|-
| | 8
| | F
| | 787.692
| | 804.5115
| | 812.308
| | 836.769
| | 863.945
| | 886.154
|-
| | 9
| | F#/Gb
| | 886.154
| | 905.0755
| | 913.846
| | 941.4615
| | 971.938
| | 996.923
|-
| | 10
| | G
| | 984.615
| | 1005.639
| | 1015.385
| | 1046.077
| | 1079.931
| | 1107.692
|-
| | 11
| | G#/Hb
| | 1083.077
| | 1106.203
| | 1116.923
| | 1150.692
| | 1187.924
| | 1218.4615
|-
| | 12
| | H
| | 1181.5385
| | 1206.767
| | 1218.4615
| | 1255.385
| | 1295.917
| | 1329.231
|-
| | 13
| | A
| | 1280
| | 1307.331
| | 1320
| | 1360
| | 1403.91
| | 1440
|}
[[Category:13-tone]]
[[Category:ed9/4]]
[[Category:edIX]]
[[Category:todo:add_definition]]
[[Category:todo:unify_precision]]

Revision as of 00:00, 17 July 2018

This scale occurs in 12edo, where it is the equal division of the minor ninth.

Intervals

Degrees Octatonic Minimum Golden Median Mean ed(9/4) Maximum
1 A#/Bb 98.4615 100.564 101.5385 104.615 107.993 110.769
2 B 196.923 201.128 203.077 209.308 215.986 221.5385
3 C 295.385 301.692 304.615 313.923 323.979 332.308
4 C#/Db 393.846 402.256 406.154 418.5385 431.972 443.076
5 D 492.308 502.82 507.692 523.231 539.965 553.846
6 D#/Eb 590.769 603.381 609.231 627.846 647.9585 664.615
7 E 689.231 703.948 710.769 732.154 755.9515 775.385
8 F 787.692 804.5115 812.308 836.769 863.945 886.154
9 F#/Gb 886.154 905.0755 913.846 941.4615 971.938 996.923
10 G 984.615 1005.639 1015.385 1046.077 1079.931 1107.692
11 G#/Hb 1083.077 1106.203 1116.923 1150.692 1187.924 1218.4615
12 H 1181.5385 1206.767 1218.4615 1255.385 1295.917 1329.231
13 A 1280 1307.331 1320 1360 1403.91 1440
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