Strictly proper 19edo scales: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
Below are listed all [[strictly proper]] scales ranging from 6 to 10 notes in [[19edo]], with the [[step pattern]] expressed in steps of 19edo.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:csvargas31|csvargas31]] and made on <tt>2014-11-18 17:04:09 UTC</tt>.<br>
: The original revision id was <tt>531624498</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">Bellow are listed all strictly proper scales from 6 to 10 notes in [[19edo]]. Every scale is represented by its flattest mode.


==6 notes==
Each scale is presented in the "flattest" [[mode]], featuring the smallest possible second (1-step), then the smallest possible third (2-step) if there were multiple possible starting points for the smallest possible second, and so on. Note that some in some scales, the "flattest" mode thus obtained does not have the smallest possible interval for every [[interval class]].


|| 1 4 3 4 3 4 ||   ||
== 6 notes ==
|| 1 4 4 2 4 4 ||   ||
{| class="wikitable"
|| 1 5 2 4 2 5 ||   ||
|-
|| 2 3 3 4 3 4 ||   ||
! Step visualization
|| 2 3 4 2 4 4 ||   ||
! Step pattern
|| 2 3 4 3 3 4 ||   ||
! Name
|| 2 3 4 3 4 3 ||   ||
|-
|| 2 4 2 4 2 5 ||   ||
| {{Step vis|1 4 3 4 3 4}}
|| 2 4 2 4 3 4 ||   ||
| 1 4 3 4 3 4
|| 2 4 3 2 4 4 ||   ||
|  
|| 2 4 3 3 3 4 ||   ||
|-
|| 2 4 3 3 4 3 ||   ||
| {{Step vis|1 4 4 2 4 4}}
|| 2 4 3 4 3 3 ||   ||
| 1 4 4 2 4 4
|| 3 3 3 3 3 4 || Deutone[6] ||
|  
|-
| {{Step vis|1 5 2 4 2 5}}
| 1 5 2 4 2 5
|  
|-
| {{Step vis|2 3 3 4 3 4}}
| 2 3 3 4 3 4
|  
|-
| {{Step vis|2 3 4 2 4 4}}
| 2 3 4 2 4 4
|  
|-
| {{Step vis|2 3 4 3 3 4}}
| 2 3 4 3 3 4
|  
|-
| {{Step vis|2 3 4 3 4 3}}
| 2 3 4 3 4 3
|  
|-
| {{Step vis|2 4 2 4 2 5}}
| 2 4 2 4 2 5
|  
|-
| {{Step vis|2 4 2 4 3 4}}
| 2 4 2 4 3 4
|  
|-
| {{Step vis|2 4 3 2 4 4}}
| 2 4 3 2 4 4
|  
|-
| {{Step vis|2 4 3 3 3 4}}
| 2 4 3 3 3 4
|  
|-
| {{Step vis|2 4 3 3 4 3}}
| 2 4 3 3 4 3
|  
|-
| {{Step vis|2 4 3 4 3 3}}
| 2 4 3 4 3 3
|  
|-
| {{Step vis|3 3 3 3 3 4}}
| 3 3 3 3 3 4
| Deutone[6]
|}


==7 notes==  
== 7 notes ==
{| class="wikitable"
|-
! Step visualization
! Step pattern
! Name
|-
| {{Step vis|1 3 3 3 3 3 3}}
| 1 3 3 3 3 3 3
| [[Deutone]][7]
|-
| {{Step vis|1 4 2 3 3 2 4}}
| 1 4 2 3 3 2 4
|
|-
| {{Step vis|2 2 3 3 3 3 3}}
| 2 2 3 3 3 3 3
| Major Locrian
|-
| {{Step vis|2 3 2 3 3 2 4}}
| 2 3 2 3 3 2 4
| Harmonic minor
|-
| {{Step vis|2 3 2 3 3 3 3}}
| 2 3 2 3 3 3 3
| Melodic minor
|-
| {{Step vis|2 3 2 4 2 3 3}}
| 2 3 2 4 2 3 3
| Harmonic major
|-
| {{Step vis|2 3 3 2 3 3 3}}
| 2 3 3 2 3 3 3
| [[meantone7|Meantone[7]]]
|}


|| 1 3 3 3 3 3 3 || Deutone[7] ||
== 8 notes ==
|| 1 4 2 3 3 2 4 ||  ||
{| class="wikitable"
|| 2 2 3 3 3 3 3 || Major Locrian ||
|-
|| 2 3 2 3 3 2 4 || Harmonic Minor ||
! Step visualization
|| 2 3 2 3 3 3 3 || Melodic Minor ||
! Step pattern
|| 2 3 2 4 2 3 3 || Harmonic Major ||
! Name
|| 2 3 3 2 3 3 3 || Meantone[7] ||
|-
| {{Step vis|1 3 2 3 2 3 2 3}}
| 1 3 2 3 2 3 2 3
|  
|-
| {{Step vis|2 2 2 3 2 3 2 3}}
| 2 2 2 3 2 3 2 3
|  
|-
| {{Step vis|2 2 3 2 2 3 2 3}}
| 2 2 3 2 2 3 2 3
| [[Sensi]][8]
|}


==8 notes==  
== 9 notes ==
{| class="wikitable"
|-
! Step visualization
! Step pattern
! Name
|-
| {{Step vis|1 3 2 2 2 2 2 2 3}}
| 1 3 2 2 2 2 2 2 3
|
|-
| {{Step vis|2 2 2 2 2 2 2 2 3}}
| 2 2 2 2 2 2 2 2 3
| [[Negri]][9]
|}


|| 1 3 2 3 2 3 2 3 ||  ||
== 10 notes ==
|| 2 2 2 3 2 3 2 3 ||  ||
{| class="wikitable"
|| 2 2 3 2 2 3 2 3 || Sensi[8] ||
|-
! Step visualization
! Step pattern
! Name
|-
| {{Step vis|1 2 2 2 2 2 2 2 2 2}}
| 1 2 2 2 2 2 2 2 2 2
| [[Negri]][10]
|}


==9 notes==  
== See also ==
* [[19edo modes]]
* [[Strictly proper 7-tone 31edo scales]]


|| 1 3 2 2 2 2 2 2 3 ||  ||
{{Navbox scale gallery}}
|| 2 2 2 2 2 2 2 2 3 || Negri[9] ||
[[Category:19edo]]
 
[[Category:Lists of scales]]
==10 notes==
|| 1 2 2 2 2 2 2 2 2 2 || Negri[10] ||</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;Strictly proper 19edo scales&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Bellow are listed all strictly proper scales from 6 to 10 notes in &lt;a class="wiki_link" href="/19edo"&gt;19edo&lt;/a&gt;. Every scale is represented by its flattest mode.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-6 notes"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;6 notes&lt;/h2&gt;
&lt;br /&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;1 4 3 4 3 4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1 4 4 2 4 4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1 5 2 4 2 5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2 3 3 4 3 4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2 3 4 2 4 4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2 3 4 3 3 4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2 3 4 3 4 3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2 4 2 4 2 5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2 4 2 4 3 4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2 4 3 2 4 4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2 4 3 3 3 4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2 4 3 3 4 3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2 4 3 4 3 3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3 3 3 3 3 4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Deutone[6]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-7 notes"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;7 notes&lt;/h2&gt;
&lt;br /&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;1 3 3 3 3 3 3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Deutone[7]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1 4 2 3 3 2 4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2 2 3 3 3 3 3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Major Locrian&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2 3 2 3 3 2 4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Harmonic Minor&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2 3 2 3 3 3 3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Melodic Minor&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2 3 2 4 2 3 3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Harmonic Major&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2 3 3 2 3 3 3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Meantone[7]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x-8 notes"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;8 notes&lt;/h2&gt;
&lt;br /&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;1 3 2 3 2 3 2 3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2 2 2 3 2 3 2 3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2 2 3 2 2 3 2 3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Sensi[8]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="x-9 notes"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;9 notes&lt;/h2&gt;
&lt;br /&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;1 3 2 2 2 2 2 2 3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2 2 2 2 2 2 2 2 3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Negri[9]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="x-10 notes"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;10 notes&lt;/h2&gt;
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;1 2 2 2 2 2 2 2 2 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Negri[10]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;/body&gt;&lt;/html&gt;</pre></div>

Latest revision as of 03:08, 28 September 2025

Below are listed all strictly proper scales ranging from 6 to 10 notes in 19edo, with the step pattern expressed in steps of 19edo.

Each scale is presented in the "flattest" mode, featuring the smallest possible second (1-step), then the smallest possible third (2-step) if there were multiple possible starting points for the smallest possible second, and so on. Note that some in some scales, the "flattest" mode thus obtained does not have the smallest possible interval for every interval class.

6 notes

Step visualization Step pattern Name
├┼───┼──┼───┼──┼───┤ 1 4 3 4 3 4
├┼───┼───┼─┼───┼───┤ 1 4 4 2 4 4
├┼────┼─┼───┼─┼────┤ 1 5 2 4 2 5
├─┼──┼──┼───┼──┼───┤ 2 3 3 4 3 4
├─┼──┼───┼─┼───┼───┤ 2 3 4 2 4 4
├─┼──┼───┼──┼──┼───┤ 2 3 4 3 3 4
├─┼──┼───┼──┼───┼──┤ 2 3 4 3 4 3
├─┼───┼─┼───┼─┼────┤ 2 4 2 4 2 5
├─┼───┼─┼───┼──┼───┤ 2 4 2 4 3 4
├─┼───┼──┼─┼───┼───┤ 2 4 3 2 4 4
├─┼───┼──┼──┼──┼───┤ 2 4 3 3 3 4
├─┼───┼──┼──┼───┼──┤ 2 4 3 3 4 3
├─┼───┼──┼───┼──┼──┤ 2 4 3 4 3 3
├──┼──┼──┼──┼──┼───┤ 3 3 3 3 3 4 Deutone[6]

7 notes

Step visualization Step pattern Name
├┼──┼──┼──┼──┼──┼──┤ 1 3 3 3 3 3 3 Deutone[7]
├┼───┼─┼──┼──┼─┼───┤ 1 4 2 3 3 2 4
├─┼─┼──┼──┼──┼──┼──┤ 2 2 3 3 3 3 3 Major Locrian
├─┼──┼─┼──┼──┼─┼───┤ 2 3 2 3 3 2 4 Harmonic minor
├─┼──┼─┼──┼──┼──┼──┤ 2 3 2 3 3 3 3 Melodic minor
├─┼──┼─┼───┼─┼──┼──┤ 2 3 2 4 2 3 3 Harmonic major
├─┼──┼──┼─┼──┼──┼──┤ 2 3 3 2 3 3 3 Meantone[7]

8 notes

Step visualization Step pattern Name
├┼──┼─┼──┼─┼──┼─┼──┤ 1 3 2 3 2 3 2 3
├─┼─┼─┼──┼─┼──┼─┼──┤ 2 2 2 3 2 3 2 3
├─┼─┼──┼─┼─┼──┼─┼──┤ 2 2 3 2 2 3 2 3 Sensi[8]

9 notes

Step visualization Step pattern Name
├┼──┼─┼─┼─┼─┼─┼─┼──┤ 1 3 2 2 2 2 2 2 3
├─┼─┼─┼─┼─┼─┼─┼─┼──┤ 2 2 2 2 2 2 2 2 3 Negri[9]

10 notes

Step visualization Step pattern Name
├┼─┼─┼─┼─┼─┼─┼─┼─┼─┤ 1 2 2 2 2 2 2 2 2 2 Negri[10]

See also


View • Talk • EditScale galleries
JI scales 12-tone JI • Combination product set • Constant structure • Harry Partch-related • Maximal harmony epimorphic • MOS transversal • Non-octave JI • Wakalix • Z-polygon transversal • Other JI
Full list: Category:Just intonation scales
Tempered scales 11-tone MOS • 12-tone tempered • Chromatic pair • Clipper • Double mode • Essentially tempered • Fantasy detemper • Marvel woo • Meantone • Min ambiguity • MOS cradle • Negri-9 • Neutral third • Non-octave tempered • Scalesmith systematic • Ternary • Other tempered
Full list: Category:Tempered scales
Scales in EDOs in 10edo • 11 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 33 • 34 • 35 • 36 • 37 • 38 • 40 • 41 • 42 • 43 • 46 • 49 • 53 • 72 • 80
All other scale gallery pages are included in Category:Lists of scales
Retrieved from "https://en.xen.wiki/index.php?title=Strictly_proper_19edo_scales&oldid=211328"