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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{Technical data page}}
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
'''Orgonia''' is a collection of temperaments of different ranks, including subgroup temperaments, that all temper out the [[orgonisma]].
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-12-09 02:13:30 UTC</tt>.<br>
: The original revision id was <tt>284059528</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">Welcome to Orgonia, the commatic realm of the orgonisma, the [[11-limit]] [[comma]] 65536/65219!
=Orgonismic temperament=
== Orgonismic ==
Comma: 65536/65219
[[Subgroup]]: 2.3.5.7.11
[[Eigenmonzo subgroup|Minimax tuning subgroup]]: 2.3.5.11/7. The minimax tuning makes 7 and 11 both sharp by (65536/65219)^(1/5), which is 1.679 cents, and the [[5-limit]] just.
[[Comma list]]: 65536/65219
Map: <<1 0 0 2 4]
[[Mapping]]: <br>
[0 1 0 0 0]
[{{val| 1 0 0 2 4 }}<br>
[0 0 1 0 0]
{{val| 0 1 0 0 0 }}<br>
[0 0 0 3 -2]||
{{val| 0 0 1 0 0 }}<br>
{{val| 0 0 0 3 -2 }}]
EDOs: 15, 19, 22, 37, 41, 89, 111, 130, 152, 282
[[Minimax tuning]]:
[[Spectrum of a temperament|Spectrum]]: 4/3, 11/8, 12/11, 5/4, 8/7, 6/5, 11/10, 7/6, 9/8, 7/5, 11/9, 10/9, 9/7, 14/11
* [[Eigenmonzo basis]] ([[unchanged-interval basis]]): 2.3.5.11/7. The minimax tuning makes 7 and 11 both sharp by (65536/65219)<sup>1/5</sup>, which is 1.679 cents, and the [[5-limit]] just.
Orgone, the 4 & 7 temperament in the 2.7.11 subgroup, is related to [[superkleismic]].
==Oregon==
[[Subgroup]]: 2.7.11
Commas: 55/54, 64/63, 100/99
Subgroup: 2.9.15.7.11
POTE generator: ~6/5 = 326.139
[[Comma list]]: [[65536/65219]]
Sval map: [<1 1 1 5 2|, <0 3 4 -3 2|]
{{Mapping|legend=2| 1 2 4 | 0 3 -2 }}
EDOs: 7, 11, 59b, 70bc, 81bcd, 92bcd
The subgroup 2.9.15.7.11 is the [[11-limit]] [[k*N subgroups|2*11 subgroup]], the largest subgroup of the 11-limit on which [[11edo]] acts like [[22edo]], in the sense that it gives the same tuning to intervals and has the same commas. Oregon temperament is just 11-limit [[Porcupine family|porcupine temperament]] restricted to this subgroup.
The subgroup 2.9.15.7.11 is the [[11-limit]] [[k*N_subgroups|2*11 subgroup]], the largest subgroup of the 11-limit on which [[11edo]] acts like [[22edo]], in the sense that it gives the same tuning to intervals and has the same commas. Oregon temperament is just 11-limit [[porcupine]] restricted to this subgroup.
<a class="wiki_link" href="/Eigenmonzo%20subgroup">Minimax tuning subgroup</a>: 2.3.5.11/7. The minimax tuning makes 7 and 11 both sharp by (65536/65219)^(1/5), which is 1.679 cents, and the <a class="wiki_link" href="/5-limit">5-limit</a> just.<br />
POTE generator: ~17/14 = 325.714
<br />
Map: &lt;&lt;1 0 0 2 4]<br />
{{Optimal ET sequence|legend=1| 11, 37, 48, 59, 70c }}
The subgroup 2.9.15.7.11 is the <a class="wiki_link" href="/11-limit">11-limit</a> <a class="wiki_link" href="/k%2AN%20subgroups">2*11 subgroup</a>, the largest subgroup of the 11-limit on which <a class="wiki_link" href="/11edo">11edo</a> acts like <a class="wiki_link" href="/22edo">22edo</a>, in the sense that it gives the same tuning to intervals and has the same commas. Oregon temperament is just 11-limit <a class="wiki_link" href="/Porcupine%20family">porcupine temperament</a> restricted to this subgroup.<br />
The subgroup 2.9.15.7.11 is the 11-limit2*11 subgroup, the largest subgroup of the 11-limit on which 11edo acts like 22edo, in the sense that it gives the same tuning to intervals and has the same commas. Oregon temperament is just 11-limit porcupine restricted to this subgroup.
