User:Moremajorthanmajor/16edX: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is the scale which occurs as the dominant major edX.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-19 12:02:17 UTC</tt>.<br>
: The original revision id was <tt>602494632</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 is the scale which occurs as the dominant major edX.


==Intervals==  
==Intervals==
||~ Degrees ||~ Enneatonic ||~ Minimum ||~ ed(7/3) ||~ Mean/Median ||~ Golden ||~ Maximum ||
|| 1 || 1#/2b
D#/Eb || 90 || 91.679 || 97.5 || 99.2705 || 105 ||
|| 2 || 2
E || 180 || 183.358 || 195 || 198.541 || 210 ||
|| 3 || 2#/3b
E#/Fb || 270 || 275.038 || 292.5 || 297.811'5 || 315 ||
|| 4 || 3
F || 360 || 366.718 || 390 || 397.082 || 420 ||
|| 5 || 3#/4b
F#/Gb || 450 || 458.397 || 487.5 || 496.352'5 || 525 ||
|| 6 || 4
G || 540 || 550.077 || 585 || 595.623 || 630 ||
|| 7 || 5
H || 630 || 641.756 || 682.5 || 694.893 || 735 ||
|| 8 || 5#/6b
H#/Jb || 720 || 733.435'5 || 780 || 794.154 || 840 ||
|| 9 || 6
J || 810 || 825.115 || 877.5 || 893.435 || 945 ||
|| 10 || 6#/7b
J#/Ab || 900 || 916.794 || 975 || 992.705 || 1050 ||
|| 11 || 7
A || 990 || 1008.473 || 1072.5 || 1091.976 || 1155 ||
|| 12 || 7#/8b
A#/Bb || 1080 || 1100.153 || 1170 || 1191.246 || 1260 ||
|| 13 || 8
B || 1170 || 1191.833 || 1267.5 || 1290.517 || 1365 ||
|| 14 || 8#/9b
B#/Cb || 1260 || 1283.512 || 1365 || 1389.787 || 1470 ||
|| 15 || 9
C || 1350 || 1375.1915 || 1462.5 || 1489.058 || 1575 ||
|| 16 || 1
D || 1440 || 1466.871 || 1560 || 1588.328 || 1680 ||


By a surprising coincidence, neutral 16edX turns out to be a false Pelogic temperament with a very pure 5:4 (mistuned by no more than 3.596 cents), and tuning 5:3 pure creates a tenth almost exactly equal to 38/29edo, and tuning 4:3 pure creates an almost exact 43/74edo fifth.</pre></div>
{| class="wikitable"
<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;16edX&lt;/title&gt;&lt;/head&gt;&lt;body&gt;This is the scale which occurs as the dominant major edX.&lt;br /&gt;
! | Degrees
&lt;br /&gt;
! | Enneatonic
&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;
! | Minimum
! | ed(7/3)
! | Mean/Median
! | Golden
! | Maximum
|-
| | 1
| | 1#/2b


&lt;table class="wiki_table"&gt;
D#/Eb
    &lt;tr&gt;
| | 90
        &lt;th&gt;Degrees&lt;br /&gt;
| | 91.679
&lt;/th&gt;
| | 97.5
        &lt;th&gt;Enneatonic&lt;br /&gt;
| | 99.2705
&lt;/th&gt;
| | 105
        &lt;th&gt;Minimum&lt;br /&gt;
|-
&lt;/th&gt;
| | 2
        &lt;th&gt;ed(7/3)&lt;br /&gt;
| | 2
&lt;/th&gt;
        &lt;th&gt;Mean/Median&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Golden&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;1#/2b&lt;br /&gt;
D#/Eb&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;90&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;91.679&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;97.5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;99.2705&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;105&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;2&lt;br /&gt;
E&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;180&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;183.358&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;195&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;198.541&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;210&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;2#/3b&lt;br /&gt;
E#/Fb&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;270&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;275.038&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;292.5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;297.811'5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;315&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;3&lt;br /&gt;
F&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;360&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;366.718&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;390&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;397.082&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;420&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;3#/4b&lt;br /&gt;
F#/Gb&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;450&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;458.397&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;487.5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;496.352'5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;525&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;4&lt;br /&gt;
G&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;540&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;550.077&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;585&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;595.623&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;630&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;5&lt;br /&gt;
H&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;630&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;641.756&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;682.5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;694.893&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;735&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;5#/6b&lt;br /&gt;
H#/Jb&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;720&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;733.435'5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;780&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;794.154&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;840&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;6&lt;br /&gt;
J&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;810&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;825.115&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;877.5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;893.435&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;945&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;6#/7b&lt;br /&gt;
J#/Ab&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;900&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;916.794&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;975&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;992.705&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1050&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;7&lt;br /&gt;
A&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;990&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1008.473&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1072.5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1091.976&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1155&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;7#/8b&lt;br /&gt;
A#/Bb&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1080&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1100.153&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1170&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1191.246&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1260&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;8&lt;br /&gt;
B&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1170&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1191.833&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1267.5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1290.517&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;14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8#/9b&lt;br /&gt;
B#/Cb&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1260&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1283.512&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1365&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1389.787&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1470&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;9&lt;br /&gt;
C&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1350&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1375.1915&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1462.5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1489.058&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1575&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;1&lt;br /&gt;
D&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1440&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1466.871&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1560&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1588.328&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1680&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;br /&gt;
E
By a surprising coincidence, neutral 16edX turns out to be a false Pelogic temperament with a very pure 5:4 (mistuned by no more than 3.596 cents), and tuning 5:3 pure creates a tenth almost exactly equal to 38/29edo, and tuning 4:3 pure creates an almost exact 43/74edo fifth.&lt;/body&gt;&lt;/html&gt;</pre></div>
| | 180
| | 183.358
| | 195
| | 198.541
| | 210
|-
| | 3
| | 2#/3b
 
E#/Fb
| | 270
| | 275.038
| | 292.5
| | 297.811'5
| | 315
|-
| | 4
| | 3
 
F
| | 360
| | 366.718
| | 390
| | 397.082
| | 420
|-
| | 5
| | 3#/4b
 
F#/Gb
| | 450
| | 458.397
| | 487.5
| | 496.352'5
| | 525
|-
| | 6
| | 4
 
G
| | 540
| | 550.077
| | 585
| | 595.623
| | 630
|-
| | 7
| | 5
 
H
| | 630
| | 641.756
| | 682.5
| | 694.893
| | 735
|-
| | 8
| | 5#/6b
 
H#/Jb
| | 720
| | 733.435'5
| | 780
| | 794.154
| | 840
|-
| | 9
| | 6
 
J
| | 810
| | 825.115
| | 877.5
| | 893.435
| | 945
|-
| | 10
| | 6#/7b
 
J#/Ab
| | 900
| | 916.794
| | 975
| | 992.705
| | 1050
|-
| | 11
| | 7
 
A
| | 990
| | 1008.473
| | 1072.5
| | 1091.976
| | 1155
|-
| | 12
| | 7#/8b
 
A#/Bb
| | 1080
| | 1100.153
| | 1170
| | 1191.246
| | 1260
|-
| | 13
| | 8
 
B
| | 1170
| | 1191.833
| | 1267.5
| | 1290.517
| | 1365
|-
| | 14
| | 8#/9b
 
B#/Cb
| | 1260
| | 1283.512
| | 1365
| | 1389.787
| | 1470
|-
| | 15
| | 9
 
C
| | 1350
| | 1375.1915
| | 1462.5
| | 1489.058
| | 1575
|-
| | 16
| | 1
 
D
| | 1440
| | 1466.871
| | 1560
| | 1588.328
| | 1680
|}
 
By a surprising coincidence, neutral 16edX turns out to be a false Pelogic temperament with a very pure 5:4 (mistuned by no more than 3.596 cents), and tuning 5:3 pure creates a tenth almost exactly equal to 38/29edo, and tuning 4:3 pure creates an almost exact 43/74edo fifth.
[[Category:16-tone]]
[[Category:ed7/3]]
[[Category:edX]]
[[Category:todo:add_definition]]
[[Category:todo:unify_precision]]

Revision as of 00:00, 17 July 2018

This is the scale which occurs as the dominant major edX.

Intervals

Degrees Enneatonic Minimum ed(7/3) Mean/Median Golden Maximum
1 1#/2b

D#/Eb

90 91.679 97.5 99.2705 105
2 2

E

180 183.358 195 198.541 210
3 2#/3b

E#/Fb

270 275.038 292.5 297.811'5 315
4 3

F

360 366.718 390 397.082 420
5 3#/4b

F#/Gb

450 458.397 487.5 496.352'5 525
6 4

G

540 550.077 585 595.623 630
7 5

H

630 641.756 682.5 694.893 735
8 5#/6b

H#/Jb

720 733.435'5 780 794.154 840
9 6

J

810 825.115 877.5 893.435 945
10 6#/7b

J#/Ab

900 916.794 975 992.705 1050
11 7

A

990 1008.473 1072.5 1091.976 1155
12 7#/8b

A#/Bb

1080 1100.153 1170 1191.246 1260
13 8

B

1170 1191.833 1267.5 1290.517 1365
14 8#/9b

B#/Cb

1260 1283.512 1365 1389.787 1470
15 9

C

1350 1375.1915 1462.5 1489.058 1575
16 1

D

1440 1466.871 1560 1588.328 1680

By a surprising coincidence, neutral 16edX turns out to be a false Pelogic temperament with a very pure 5:4 (mistuned by no more than 3.596 cents), and tuning 5:3 pure creates a tenth almost exactly equal to 38/29edo, and tuning 4:3 pure creates an almost exact 43/74edo fifth.

Retrieved from "https://en.xen.wiki/index.php?title=User:Moremajorthanmajor/16edX&oldid=285"