321edo: Difference between revisions

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~~<h2>IMPORTED REVISION FROM WIKISPACES</h2>~~

~~This~~ is ~~an imported revision from Wikispaces. The revision metadata is included below for reference:<br>~~

~~: This revision was by author~~ [[~~User:genewardsmith|genewardsmith~~]] ~~and made on <tt>2011-10-25 22:01:08 UTC</tt>.<br>~~

~~: The original revision id was <tt>268601160</tt>.<br>~~

== Theory ==

~~: The revision comment was: <tt></tt><br>~~

321edo is in[[consistent]] in the [[5-odd-limit]]. The [[patent val]] [[Tempering out|tempers out]] [[2401/2400]], [[5120/5103]] and [[10976/10935]] in the 7-limit, supporting [[hemififths]]. In the 11-limit it tempers out [[385/384]] and 1375/1372, and in the 13-limit [[325/324]], [[352/351]], [[847/845]], [[2080/2079]] and [[4096/4095]], providing the [[optimal patent val]] for 11- and 13-limit [[akea]] temperament.

~~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>~~

=== Prime harmonics ===

~~<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">The 321 equal division divides the octave into 321 equal parts of 3.738 cents each. The patent val tempers out 2401/2400, 5120/5103 and 10976/10935 in the 7-limit, supporting hemififths ~~temperament~~. In the 11-limit it tempers out 385/384 and 1375/1372, and in the 13-limit 325/324, 352/351, 847/845 ~~and~~ 2080/2079, providing the [[optimal patent val]] for 11- and 13-limit [[~~Hemifamity family#Akea|~~akea ~~temperament~~]].~~</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"><html><head><title>~~321edo<~~/title></head><body>The~~ 321 ~~equal division divides the octave into~~ 321 ~~equal parts~~ of 3.~~738 cents each~~. The ~~patent val tempers out 2401~~/~~2400~~, ~~5120~~/~~5103 and 10976~~/~~10935 in the 7-limit, supporting hemififths temperament~~. ~~In the 11-limit it tempers out 385~~/~~384 and 1375~~/~~1372, and in the 13-limit 325~~/~~324, 352~~/~~351~~, ~~847~~/~~845 and 2080~~/~~2079, providing the <a class="wiki_link" href="~~/~~optimal%20patent%20val">optimal patent val</a> for 11- and 13-limit <a class~~=~~"wiki_link" href="~~/~~Hemifamity%20family#Akea">akea temperament<~~/~~a>~~.~~<~~/~~body>&lt~~;/~~html><~~/~~pre><~~/~~div>~~

== Interval table ==

== Scales ==

[[JUMBLE]]'s Blastoff scale (9L 8s)

* 25\321

* 37\321

* 62\321

* 74\321

* 99\321

* 111\321

* 136\321

* 148\321

* 173\321

* 185\321

* 210\321

* 222\321

* 247\321

* 259\321

* 284\321

* 296\321

* 321\321

This scale may be thought of as a tuning of the [[Greenwoodmic temperaments#Secundly|secundly]] (or lower limit secund) temperament.

== Music ==

; [[JUMBLE]]

* [https://www.youtube.com/watch?v=4HT5onKQaz0 ''Sun Through The Window''] (2023) – ambient

* [https://www.youtube.com/watch?v=cQoWVBbKnuA ''BLASTOFF!''] (2023) – synthwave, [[9L 8s]] scale

* [https://www.youtube.com/watch?v=e8hhlQSYqVY ''Infinity''] (2023)

* [https://www.youtube.com/watch?v=ZW7JyextZoM ''Greige City''] (2023) – synthwave, [[9L 8s]] scale

* [https://www.youtube.com/watch?v=yIfooPURtYE ''So Long, San Diego''] (2024)

* [https://www.youtube.com/watch?v=xI0HXnrlSlA ''Ten Day Forecast''] (2024) – ambient

; [[No Clue Music]]

* [https://www.youtube.com/watch?v=orjW0qIveqU ''Frozen Star''] (2024)

[[Category:Akea]]

[[Category:Listen]]

@@ Line 1: / Line 1: @@
-<h2>IMPORTED REVISION FROM WIKISPACES</h2>
+{{Infobox ET}}
-This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
+{{ED intro}}
-: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-10-25 22:01:08 UTC</tt>.<br>
-: The original revision id was <tt>268601160</tt>.<br>
+== Theory ==
-: The revision comment was: <tt></tt><br>
+edo is in[[consistent]] in the [[5-odd-limit]]. The [[patent val]] [[Tempering out|tempers out]] [[2401/2400]], [[5120/5103]] and [[10976/10935]] in the 7-limit, supporting [[hemififths]]. In the 11-limit it tempers out [[385/384]] and 1375/1372, and in the 13-limit [[325/324]], [[352/351]], [[847/845]], [[2080/2079]] and [[4096/4095]], providing the [[optimal patent val]] for 11- and 13-limit [[akea]] temperament.
-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>
+=== Prime harmonics ===
-<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">The 321 equal division divides the octave into 321 equal parts of 3.738 cents each. The patent val tempers out 2401/2400, 5120/5103 and 10976/10935 in the 7-limit, supporting hemififths temperament. In the 11-limit it tempers out 385/384 and 1375/1372, and in the 13-limit 325/324, 352/351, 847/845 and 2080/2079,  providing the [[optimal patent val]] for 11- and 13-limit [[Hemifamity family#Akea|akea temperament]].</pre></div>
+{{Harmonics in equal|321}}
-<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;321edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 321 equal division divides the octave into 321 equal parts of 3.738 cents each. The patent val tempers out 2401/2400, 5120/5103 and 10976/10935 in the 7-limit, supporting hemififths temperament. In the 11-limit it tempers out 385/384 and 1375/1372, and in the 13-limit 325/324, 352/351, 847/845 and 2080/2079,  providing the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; for 11- and 13-limit &lt;a class="wiki_link" href="/Hemifamity%20family#Akea"&gt;akea temperament&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>
+== Interval table ==
+{{main|Table of 321edo intervals}}
+== Scales ==
+[[JUMBLE]]'s Blastoff scale (9L&nbsp;8s)
+* 25\321
+* 37\321
+* 62\321
+* 74\321
+* 99\321
+* 111\321
+* 136\321
+* 148\321
+* 173\321
+* 185\321
+* 210\321
+* 222\321
+* 247\321
+* 259\321
+* 284\321
+* 296\321
+* 321\321
+This scale may be thought of as a tuning of the [[Greenwoodmic temperaments#Secundly|secundly]] (or lower limit secund) temperament.
+== Music ==
+; [[JUMBLE]]
+* [https://www.youtube.com/watch?v=4HT5onKQaz0 ''Sun Through The Window''] (2023) – ambient
+* [https://www.youtube.com/watch?v=cQoWVBbKnuA ''BLASTOFF!''] (2023) – synthwave, [[9L 8s]] scale
+* [https://www.youtube.com/watch?v=e8hhlQSYqVY ''Infinity''] (2023)
+* [https://www.youtube.com/watch?v=ZW7JyextZoM ''Greige City''] (2023) – synthwave, [[9L 8s]] scale
+* [https://www.youtube.com/watch?v=yIfooPURtYE ''So Long, San Diego''] (2024)
+* [https://www.youtube.com/watch?v=xI0HXnrlSlA ''Ten Day Forecast''] (2024) – ambient
+; [[No Clue Music]]
+* [https://www.youtube.com/watch?v=orjW0qIveqU ''Frozen Star''] (2024)
+[[Category:Akea]]
+[[Category:Listen]]