Macrotonal EDO: Difference between revisions
Wikispaces>genewardsmith **Imported revision 205698236 - Original comment: ** |
Wikispaces>Osmiorisbendi **Imported revision 482018090 - Original comment: ** |
||
| Line 1: | Line 1: | ||
<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User: | : This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2014-01-10 23:56:40 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>482018090</tt>.<br> | ||
: The revision comment was: <tt></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> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
| Line 33: | Line 33: | ||
Macrotonal edos (or any edo really) are available in larger edos which are multiples of them; the edos which are multiples of the same smaller edo can be thought of as being "related," perhaps even "in the same family" as one another. This becomes especially significant with linear temperaments such as [[Archytas clan|Blackwood Temperament]] which use some division of the octave (in the case of Blackwood, a fifth of an octave) as the period. It also suggests a family of superscales that one could use to expand upon the potential of a simpler scale: for instance, [[14edo]] as a superscale containing two [[7edo]]s. Here are some edo families: | Macrotonal edos (or any edo really) are available in larger edos which are multiples of them; the edos which are multiples of the same smaller edo can be thought of as being "related," perhaps even "in the same family" as one another. This becomes especially significant with linear temperaments such as [[Archytas clan|Blackwood Temperament]] which use some division of the octave (in the case of Blackwood, a fifth of an octave) as the period. It also suggests a family of superscales that one could use to expand upon the potential of a simpler scale: for instance, [[14edo]] as a superscale containing two [[7edo]]s. Here are some edo families: | ||
* 3n edo family: [[3edo]], [[6edo]], [[9edo]], [[12edo]], [[15edo]], [[18edo]], [[21edo]], [[24edo]], [[27edo]], [[30edo]], [[33edo]], [[36edo]], [[39edo]], [[42edo]], [[45edo]], [[48edo]]... | * 3n edo family: [[3edo]], [[6edo]], [[9edo]], [[12edo]], [[15edo]], [[18edo]], [[21edo]], [[24edo]], [[27edo]], [[30edo]], [[33edo]], [[36edo]], [[39edo]], [[42edo]], [[45edo]], [[48edo]], [[51edo]], [[54edo]]... | ||
* 4n edo family: [[4edo]], [[8edo]], [[12edo]], [[16edo]], [[20edo]], [[24edo]], [[28edo]], [[32edo]], [[36edo]], [[40edo]], [[44edo]], [[48edo]]... | * 4n edo family: [[4edo]], [[8edo]], [[12edo]], [[16edo]], [[20edo]], [[24edo]], [[28edo]], [[32edo]], [[36edo]], [[40edo]], [[44edo]], [[48edo]], [[52edo]]... | ||
* 5n edo family: [[5edo]], [[10edo]], [[15edo]], [[20edo]], [[25edo]], [[30edo]], [[35edo]], [[40edo]]... | * 5n edo family: [[5edo]], [[10edo]], [[15edo]], [[20edo]], [[25edo]], [[30edo]], [[35edo]], [[40edo]], [[45edo]], [[50edo]], [[55edo]]... | ||
* 6n edo family: [[6edo]], [[12edo]], [[18edo]], [[24edo]], [[30edo]], [[36edo]], [[42edo]], [[48edo]]... | * 6n edo family: [[6edo]], [[12edo]], [[18edo]], [[24edo]], [[30edo]], [[36edo]], [[42edo]], [[48edo]], [[54edo]]... | ||
* 7n edo family: [[7edo]], [[14edo]], [[21edo]], [[28edo]], [[35edo]], [[42edo]], [[49edo]]... | * 7n edo family: [[7edo]], [[14edo]], [[21edo]], [[28edo]], [[35edo]], [[42edo]], [[49edo]]... | ||
* 8n edo family: [[8edo]], [[16edo]], [[24edo]], [[32edo]], [[40edo]], [[48edo]]... | * 8n edo family: [[8edo]], [[16edo]], [[24edo]], [[32edo]], [[40edo]], [[48edo]]... | ||
* 9n edo family: [[9edo]], [[18edo]], [[27edo]], [[36edo]], [[45edo]]... | * 9n edo family: [[9edo]], [[18edo]], [[27edo]], [[36edo]], [[45edo]], [[54edo]]... | ||
* 10n edo family: [[10edo]], [[20edo]], [[30edo]], [[40edo]], [[50edo]]... | * 10n edo family: [[10edo]], [[20edo]], [[30edo]], [[40edo]], [[50edo]]... | ||
* 11n edo family: [[11edo]], [[22edo]], [[33edo]], [[44edo]]... | * 11n edo family: [[11edo]], [[22edo]], [[33edo]], [[44edo]], [[55edo]]... | ||
* 12n edo family: [[12edo]], [[24edo]], [[36edo]], [[48edo]]... | * 12n edo family: [[12edo]], [[24edo]], [[36edo]], [[48edo]]... | ||
[[image:macrotonal_edos.jpg]] | [[image:macrotonal_edos.jpg]] | ||
| Line 67: | Line 66: | ||
Macrotonal edos (or any edo really) are available in larger edos which are multiples of them; the edos which are multiples of the same smaller edo can be thought of as being &quot;related,&quot; perhaps even &quot;in the same family&quot; as one another. This becomes especially significant with linear temperaments such as <a class="wiki_link" href="/Archytas%20clan">Blackwood Temperament</a> which use some division of the octave (in the case of Blackwood, a fifth of an octave) as the period. It also suggests a family of superscales that one could use to expand upon the potential of a simpler scale: for instance, <a class="wiki_link" href="/14edo">14edo</a> as a superscale containing two <a class="wiki_link" href="/7edo">7edo</a>s. Here are some edo families:<br /> | Macrotonal edos (or any edo really) are available in larger edos which are multiples of them; the edos which are multiples of the same smaller edo can be thought of as being &quot;related,&quot; perhaps even &quot;in the same family&quot; as one another. This becomes especially significant with linear temperaments such as <a class="wiki_link" href="/Archytas%20clan">Blackwood Temperament</a> which use some division of the octave (in the case of Blackwood, a fifth of an octave) as the period. It also suggests a family of superscales that one could use to expand upon the potential of a simpler scale: for instance, <a class="wiki_link" href="/14edo">14edo</a> as a superscale containing two <a class="wiki_link" href="/7edo">7edo</a>s. Here are some edo families:<br /> | ||
<br /> | <br /> | ||
<ul><li>3n edo family: <a class="wiki_link" href="/3edo">3edo</a>, <a class="wiki_link" href="/6edo">6edo</a>, <a class="wiki_link" href="/9edo">9edo</a>, <a class="wiki_link" href="/12edo">12edo</a>, <a class="wiki_link" href="/15edo">15edo</a>, <a class="wiki_link" href="/18edo">18edo</a>, <a class="wiki_link" href="/21edo">21edo</a>, <a class="wiki_link" href="/24edo">24edo</a>, <a class="wiki_link" href="/27edo">27edo</a>, <a class="wiki_link" href="/30edo">30edo</a>, <a class="wiki_link" href="/33edo">33edo</a>, <a class="wiki_link" href="/36edo">36edo</a>, <a class="wiki_link" href="/39edo">39edo</a>, <a class="wiki_link" href="/42edo">42edo</a>, <a class="wiki_link" href="/45edo">45edo</a>, <a class="wiki_link" href="/48edo">48edo</a> | <ul><li>3n edo family: <a class="wiki_link" href="/3edo">3edo</a>, <a class="wiki_link" href="/6edo">6edo</a>, <a class="wiki_link" href="/9edo">9edo</a>, <a class="wiki_link" href="/12edo">12edo</a>, <a class="wiki_link" href="/15edo">15edo</a>, <a class="wiki_link" href="/18edo">18edo</a>, <a class="wiki_link" href="/21edo">21edo</a>, <a class="wiki_link" href="/24edo">24edo</a>, <a class="wiki_link" href="/27edo">27edo</a>, <a class="wiki_link" href="/30edo">30edo</a>, <a class="wiki_link" href="/33edo">33edo</a>, <a class="wiki_link" href="/36edo">36edo</a>, <a class="wiki_link" href="/39edo">39edo</a>, <a class="wiki_link" href="/42edo">42edo</a>, <a class="wiki_link" href="/45edo">45edo</a>, <a class="wiki_link" href="/48edo">48edo</a>, <a class="wiki_link" href="/51edo">51edo</a>, <a class="wiki_link" href="/54edo">54edo</a>...</li><li>4n edo family: <a class="wiki_link" href="/4edo">4edo</a>, <a class="wiki_link" href="/8edo">8edo</a>, <a class="wiki_link" href="/12edo">12edo</a>, <a class="wiki_link" href="/16edo">16edo</a>, <a class="wiki_link" href="/20edo">20edo</a>, <a class="wiki_link" href="/24edo">24edo</a>, <a class="wiki_link" href="/28edo">28edo</a>, <a class="wiki_link" href="/32edo">32edo</a>, <a class="wiki_link" href="/36edo">36edo</a>, <a class="wiki_link" href="/40edo">40edo</a>, <a class="wiki_link" href="/44edo">44edo</a>, <a class="wiki_link" href="/48edo">48edo</a>, <a class="wiki_link" href="/52edo">52edo</a>...</li><li>5n edo family: <a class="wiki_link" href="/5edo">5edo</a>, <a class="wiki_link" href="/10edo">10edo</a>, <a class="wiki_link" href="/15edo">15edo</a>, <a class="wiki_link" href="/20edo">20edo</a>, <a class="wiki_link" href="/25edo">25edo</a>, <a class="wiki_link" href="/30edo">30edo</a>, <a class="wiki_link" href="/35edo">35edo</a>, <a class="wiki_link" href="/40edo">40edo</a>, <a class="wiki_link" href="/45edo">45edo</a>, <a class="wiki_link" href="/50edo">50edo</a>, <a class="wiki_link" href="/55edo">55edo</a>...</li><li>6n edo family: <a class="wiki_link" href="/6edo">6edo</a>, <a class="wiki_link" href="/12edo">12edo</a>, <a class="wiki_link" href="/18edo">18edo</a>, <a class="wiki_link" href="/24edo">24edo</a>, <a class="wiki_link" href="/30edo">30edo</a>, <a class="wiki_link" href="/36edo">36edo</a>, <a class="wiki_link" href="/42edo">42edo</a>, <a class="wiki_link" href="/48edo">48edo</a>, <a class="wiki_link" href="/54edo">54edo</a>...</li><li>7n edo family: <a class="wiki_link" href="/7edo">7edo</a>, <a class="wiki_link" href="/14edo">14edo</a>, <a class="wiki_link" href="/21edo">21edo</a>, <a class="wiki_link" href="/28edo">28edo</a>, <a class="wiki_link" href="/35edo">35edo</a>, <a class="wiki_link" href="/42edo">42edo</a>, <a class="wiki_link" href="/49edo">49edo</a>...</li><li>8n edo family: <a class="wiki_link" href="/8edo">8edo</a>, <a class="wiki_link" href="/16edo">16edo</a>, <a class="wiki_link" href="/24edo">24edo</a>, <a class="wiki_link" href="/32edo">32edo</a>, <a class="wiki_link" href="/40edo">40edo</a>, <a class="wiki_link" href="/48edo">48edo</a>...</li><li>9n edo family: <a class="wiki_link" href="/9edo">9edo</a>, <a class="wiki_link" href="/18edo">18edo</a>, <a class="wiki_link" href="/27edo">27edo</a>, <a class="wiki_link" href="/36edo">36edo</a>, <a class="wiki_link" href="/45edo">45edo</a>, <a class="wiki_link" href="/54edo">54edo</a>...</li><li>10n edo family: <a class="wiki_link" href="/10edo">10edo</a>, <a class="wiki_link" href="/20edo">20edo</a>, <a class="wiki_link" href="/30edo">30edo</a>, <a class="wiki_link" href="/40edo">40edo</a>, <a class="wiki_link" href="/50edo">50edo</a>...</li><li>11n edo family: <a class="wiki_link" href="/11edo">11edo</a>, <a class="wiki_link" href="/22edo">22edo</a>, <a class="wiki_link" href="/33edo">33edo</a>, <a class="wiki_link" href="/44edo">44edo</a>, <a class="wiki_link" href="/55edo">55edo</a>...</li><li>12n edo family: <a class="wiki_link" href="/12edo">12edo</a>, <a class="wiki_link" href="/24edo">24edo</a>, <a class="wiki_link" href="/36edo">36edo</a>, <a class="wiki_link" href="/48edo">48edo</a>...</li></ul><br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:46:&lt;img src=&quot;/file/view/macrotonal_edos.jpg/103737303/macrotonal_edos.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/macrotonal_edos.jpg/103737303/macrotonal_edos.jpg" alt="macrotonal_edos.jpg" title="macrotonal_edos.jpg" /><!-- ws:end:WikiTextLocalImageRule:46 --><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextFileRule: | <!-- ws:start:WikiTextFileRule:47:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file/macrotonal_edos.pdf?h=52&amp;w=320&quot; class=&quot;WikiFile&quot; id=&quot;wikitext@@file@@macrotonal_edos.pdf&quot; title=&quot;File: macrotonal_edos.pdf&quot; width=&quot;320&quot; height=&quot;52&quot; /&gt; --><div class="objectEmbed"><a href="/file/view/macrotonal_edos.pdf/99649243/macrotonal_edos.pdf" onclick="ws.common.trackFileLink('/file/view/macrotonal_edos.pdf/99649243/macrotonal_edos.pdf');"><img src="http://www.wikispaces.com/i/mime/32/application/pdf.png" height="32" width="32" alt="macrotonal_edos.pdf" /></a><div><a href="/file/view/macrotonal_edos.pdf/99649243/macrotonal_edos.pdf" onclick="ws.common.trackFileLink('/file/view/macrotonal_edos.pdf/99649243/macrotonal_edos.pdf');" class="filename" title="macrotonal_edos.pdf">macrotonal_edos.pdf</a><br /><ul><li><a href="/file/detail/macrotonal_edos.pdf">Details</a></li><li><a href="/file/view/macrotonal_edos.pdf/99649243/macrotonal_edos.pdf">Download</a></li><li style="color: #666">268 KB</li></ul></div></div><!-- ws:end:WikiTextFileRule:47 --></body></html></pre></div> | ||