Associated temperament: Difference between revisions

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-02-07 13:41:11 UTC</tt>.<br>

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>

<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">By an //associated temperament// to a comma is meant a temperament which shares the same [[optimal patent val]] as the [[Rank and codimension|codimension one]] temperament tempering out that comma. By definition, the optimal patent val defines the unique rank one associated temperament. For rank two temperaments, it is possible for more than one temperament to be associated, and some of these are listed below. The column headings are the comma being associated, the optimal patent val, the rank two temperament, and a comma basis for the rank two temperament.

=7 limit=

|| Comma || OPV || Temperament || Basis ||

|| 28/27 || [[15edo]] || [[blacksmith]] || 28/27, 49/48 ||

|| 1029/1000 || [[55edo]] || [[liese]] || 81/80, 686/675 ||

|| 36/35 || [[12edo]] || [[diminished]] || 36/35, 50/49 ||

|| 36/35 || [[12edo]] || [[august]] || 36/35, 128/125 ||

|| 36/35 || [[12edo]] || [[dominant]] || 36/35, 64/63 ||

|| 525/512 || [[45edo]] || [[flattone]] || 81/80, 525/512 ||

|| 49/48 || [[19edo]] || [[keemun]] || 49/48, 126/125 ||

|| 49/48 || [[19edo]] || [[godzilla]] || 49/48, 81/80 ||

|| 50/49 || [[48edo]] || [[doublewide]] || 50/49, 875/864 ||

|| 64/63 || [[49edo]] || [[superpyth]] || 64/63, 245/243 ||

|| 875/864 || [[41edo]] || [[magic]] || 225/224, 245/243 ||

|| 3125/3087 || [[94edo]] || [[garibaldi]] || 225/224, 3125/3087 ||

|| 2430/2401 || [[137edo]] || [[orwell]] || 225/224, 1728/1715 ||

|| 245/243 || [[283edo]] || [[Escapade family#Escaped|escaped]] || 245/243, 65625/65536 ||

|| 126/125 || [[185edo]] || [[valentine]] || 126/125, 1029/1024 ||

|| 1728/1715 || [[111edo]] || [[Hemifamity temperaments#Buzzard|buzzard]] || 1728/1715, 5120/5103 ||

|| 1728/1715 || [[111edo]] || [[semisept]] || 1728/1715, 3136/3125 ||

|| 1029/1024 || [[190edo]] || [[unidec]] || 1029/1024, 4375/4374 ||

|| 225/224 || [[197edo]] || [[catakleismic]] || 225/224, 4375/4374 ||

|| 3136/3125 || [[446edo]] || [[Hemimean clan#Sengagen|sengagen]] || 3136/3125, 420175/419904 ||

|| 5120/5103 || [[391edo]] || [[Hemifamity temperaments#Alphaquarter|alphaquarter]] || 5120/5103, 29360128/29296875 ||

|| 5120/5103 || [[391edo]] || [[Hemifamity temperaments#Septiquarter|septiquarter]] || 5120/5103, 420175/419904 ||

|| 6144/6125 || [[381edo]] || [[Porwell temperaments#Nessafof|nessafof]] || 6144/6125, 250047/250000 ||

|| 65625/65536 || [[171edo]] || [[Breedsmic temperaments#Tertiaseptal|tertiaseptal]] || 2401/2400, 65625/65536 ||

|| 703125/702464 || [[2185edo]] || [[Ragismic microtemperaments#Enneadecal|enneadecal]] || 4375/4374, 703125/702464 ||

||4375/4374 || [[8419edo]] || [[Ragismic microtemperaments#Semidimi|semidimi]] || 4375/4374, 3955078125/3954653486 ||

</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;Associated rank two temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;By an &lt;em&gt;associated temperament&lt;/em&gt; to a comma is meant a temperament which shares the same &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; as the &lt;a class="wiki_link" href="/Rank%20and%20codimension"&gt;codimension one&lt;/a&gt; temperament tempering out that comma. By definition, the optimal patent val defines the unique rank one associated temperament. For rank two temperaments, it is possible for more than one temperament to be associated, and some of these are listed below. The column headings are the comma being associated, the optimal patent val, the rank two temperament, and a comma basis for the rank two temperament.&lt;br /&gt;

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