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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
__FORCETOC__
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>2014-06-27 14:51:36 UTC</tt>.<br>
: The original revision id was <tt>515123728</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">[[toc|flat]]
Here are tempered scales constructed according to a systematic plan.
Here are tempered scales constructed according to a systematic plan.


----
-----


=[[Hobbits|Hobbit scales]]=  
=[[Hobbits|Hobbit scales]]=
[[akea46_13]]
[[akea46_13|akea46_13]]
[[archytas12]]
[[ares12]]
[[belobog31]]
[[breed11]]
[[donar46]]
[[enlil19_13]]
[[horwell22]]
[[indra31]]
[[jove41]]
[[jubilismic10]]
[[jubilismic12]]
[[supermagic15]]
[[madagascar19]]
[[marvel9]]
[[marvel10]]
[[marvel11]]
[[marvel12]]
[[marvel19]]
[[marvel22]]
[[marvel22_11]]
[[minerva12]]
[[minerva22x]]
[[nakika12]]
[[orwellismic9]]
[[guanyin22]]
[[portent26]]
[[prodigy11]]
[[prodigy12]]
[[prodigy29]]
[[ragismic19]]
[[rankfour46a]]
[[rankfour46b]]
[[spectacle31]]
[[starling7]]
[[starling8]]
[[starling9]]
[[starling11]]
[[starling12]]
[[starling15]]
[[starling16]]
[[starling17]]
[[starling19]]
[[thrush12]]
[[thrush15]]
[[thunor46]]
[[unimarv12]]
[[unimarv19]]
[[urania24]]
[[yajna31]]
[[zex46]]


&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;[[http://micro.soonlabel.com/hobbit_scales/20120418-jove41.mp3|By Jove!]]&lt;/span&gt; in jove41 by [[Chris Vaisvil]]
[[archytas12|archytas12]]
[[http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/marvel10_2.mp3|notJoelTaylorsTreeSpirit-Marvel10-2]] by [[Billy Stiltner]]


=Pump scales=
[[ares12|ares12]]
[[Marvel family|Marvel]] tempered scales with tetradic comma pumps.


[[pump12_1]]
[[belobog31|belobog31]]
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;[[http://micro.soonlabel.com/pump_tunings/pump1/daily20111029-a-pump1-woodwinds-no-verb.mp3|Pump1 by Chris Vaisvil]]&lt;/span&gt;
[[pump12_2]]
[[pump13]]
[[pump14]]
[[pump15]]
[[pump16]]
[[pump17]]
[[pump18]]


=[[Lesfip scales|Lesfip]] (Least squares optimized) scales=  
[[breed11|breed11]]
 
[[donar46|donar46]]
 
[[enlil19_13|enlil19_13]]
 
[[horwell22|horwell22]]
 
[[indra31|indra31]]
 
[[jove41|jove41]]
 
[[jubilismic10|jubilismic10]]
 
[[jubilismic12|jubilismic12]]
 
[[supermagic15|supermagic15]]
 
[[madagascar19|madagascar19]]
 
[[marvel9|marvel9]]
 
[[marvel10|marvel10]]
 
[[marvel11|marvel11]]
 
[[marvel12|marvel12]]
 
[[marvel19|marvel19]]
 
[[marvel22|marvel22]]
 
[[marvel22_11|marvel22_11]]
 
[[minerva12|minerva12]]
 
[[minerva22x|minerva22x]]
 
[[nakika12|nakika12]]
 
[[Orwellismic9|orwellismic9]]
 
[[guanyin22|guanyin22]]
 
[[portent26|portent26]]
 
[[prodigy11|prodigy11]]
 
[[prodigy12|prodigy12]]
 
[[prodigy29|prodigy29]]
 
[[ragismic19|ragismic19]]
 
[[rankfour46a|rankfour46a]]
 
[[rankfour46b|rankfour46b]]
 
[[spectacle31|spectacle31]]
 
[[starling7|starling7]]
 
[[starling8|starling8]]
 
[[starling9|starling9]]
 
[[starling11|starling11]]
 
[[starling12|starling12]]
 
[[starling15|starling15]]
 
[[starling16|starling16]]
 
[[starling17|starling17]]
 
[[starling19|starling19]]
 
[[thrush12|thrush12]]
 
[[thrush15|thrush15]]
 
[[thunor46|thunor46]]
 
[[unimarv12|unimarv12]]
 
[[unimarv19|unimarv19]]
 
[[urania24|urania24]]
 
[[yajna31|yajna31]]
 
[[zex46|zex46]]
 
<span style="">[http://micro.soonlabel.com/hobbit_scales/20120418-jove41.mp3 By Jove!]</span> in jove41 by [[Chris_Vaisvil|Chris Vaisvil]]
 
[http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/marvel10_2.mp3 notJoelTaylorsTreeSpirit-Marvel10-2] by [[Billy_Stiltner|Billy Stiltner]]
 
=Pump scales=
[[Marvel_family|Marvel]] tempered scales with tetradic comma pumps.
 
[[pump12_1|pump12_1]]
 
<span style="">[http://micro.soonlabel.com/pump_tunings/pump1/daily20111029-a-pump1-woodwinds-no-verb.mp3 Pump1 by Chris Vaisvil]</span>
 
[[pump12_2|pump12_2]]
 
[[pump13|pump13]]
 
[[pump14|pump14]]
 
[[pump15|pump15]]
 
[[pump16|pump16]]
 
[[pump17|pump17]]
 
[[pump18|pump18]]
 
=[[Lesfip_scales|Lesfip]] (Least squares optimized) scales=
For some set of target pitch classes, such as a tonality diamond, and some fixed error tolerance, these scales are least squares optimized.
For some set of target pitch classes, such as a tonality diamond, and some fixed error tolerance, these scales are least squares optimized.


[[catakleismic34]]
[[catakleismic34|catakleismic34]]
[[circls12]]
 
[[cycle19]]
[[circls12|circls12]]
[[diam9]]
 
[[doublediadie]]
[[cycle19|cycle19]]
[[eikosanyplusop]]
 
[[garibaldi24opt]]
[[diam9|diam9]]
[[harry58]]
 
[[hemimute31]]
[[doublediadie|doublediadie]]
[[hexlesfip22]]
 
[[leapmute29]]
[[eikosanyplusop|eikosanyplusop]]
[[leapmute46]]
 
[[major_wing_lesfip]]
[[garibaldi24opt|garibaldi24opt]]
[[mynafip22]]
 
[[newts]]
[[harry58|harry58]]
[[nufip15]]
 
[[orwell22]]
[[hemimute31|hemimute31]]
[[paulsmagic]]
 
[[porcupine15opt]]
[[hexlesfip22|hexlesfip22]]
[[Porcupine15Lesfip]]
 
[[pyclesfip17]]
[[leapmute29|leapmute29]]
[[rodan26opt]]
 
[[rodan31opt]]
[[leapmute46|leapmute46]]
[[rodan41opt]]
 
[[sensax]]
[[major_wing_lesfip|major_wing_lesfip]]
[[stelhexplus]]
 
[[studwacko]]
[[mynafip22|mynafip22]]
[[unidec26]]
 
[[valamute31]]
[[newts|newts]]
[[valamute46]]
 
[[valenporc15]]
[[nufip15|nufip15]]
[[val-werck]]
 
[[wellfip17]]
[[orwell22|orwell22]]
[[wizard22]]
 
[[paulsmagic|paulsmagic]]
 
[[porcupine15opt|porcupine15opt]]
 
[[Porcupine15Lesfip|Porcupine15Lesfip]]
 
[[pyclesfip17|pyclesfip17]]
 
[[rodan26opt|rodan26opt]]
 
[[rodan31opt|rodan31opt]]
 
[[rodan41opt|rodan41opt]]
 
[[sensax|sensax]]
 
[[stelhexplus|stelhexplus]]
 
[[studwacko|studwacko]]
 
[[unidec26|unidec26]]
 
[[valamute31|valamute31]]
 
[[valamute46|valamute46]]
 
[[valenporc15|valenporc15]]
 
[[val-werck|val-werck]]
 
[[wellfip17|wellfip17]]
 
[[wizard22|wizard22]]
 
[http://chrisvaisvil.com/?p=2020 A New Leaf] <span style="">[http://micro.soonlabel.com/circulating_temperaments/daily20120111-nufip-new-leaf.mp3 play]</span> by Chris Vaisvil (in nufip15)
 
<span style="">[http://micro.soonlabel.com/15-ET/daily20120113-porcupine15lesfip-a-childs-symmetry.mp3 A Child's Symmetry]</span>


[[http://chrisvaisvil.com/?p=2020|A New Leaf]] &lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;[[http://micro.soonlabel.com/circulating_temperaments/daily20120111-nufip-new-leaf.mp3|play]]&lt;/span&gt; by Chris Vaisvil (in nufip15)
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;[[http://micro.soonlabel.com/15-ET/daily20120113-porcupine15lesfip-a-childs-symmetry.mp3|A Child's Symmetry]]&lt;/span&gt;
by Chris Vaisvil (in Porcupine15Lesfip)
by Chris Vaisvil (in Porcupine15Lesfip)
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;[[http://micro.soonlabel.com/15-ET/daily20120114-iridium-platinum-meter.mp3|Iridium Platinum Meter - for harp, alto flute, upright bass, drum kit]]&lt;/span&gt; by Chris Vaisvil (in valenporc15)
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;[[http://micro.soonlabel.com/19-ET/daily20120115-cycle19-piano.mp3|Cycle 19 piano solo]]&lt;/span&gt; by Chris Vaisvil
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;[[http://micro.soonlabel.com/22-ET/daily20120128-pauls-magic.mp3|A Piece in Paulsmagic]]&lt;/span&gt; by Chris Vaisvil
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;[[http://micro.soonlabel.com/17-ET/20120212-pyclesfip17.mp3|Sister Lesfip Pycnic]]&lt;/span&gt; by Chris Vaisvil


=[[Marvelous dwarves]]=  
<span style="">[http://micro.soonlabel.com/15-ET/daily20120114-iridium-platinum-meter.mp3 Iridium Platinum Meter - for harp, alto flute, upright bass, drum kit]</span> by Chris Vaisvil (in valenporc15)
[[dwarf11marv]]
 
[[dwarf12marv]]
<span style="">[http://micro.soonlabel.com/19-ET/daily20120115-cycle19-piano.mp3 Cycle 19 piano solo]</span> by Chris Vaisvil
[[dwarf13marv]]
 
[[dwarf14marv]]
<span style="">[http://micro.soonlabel.com/22-ET/daily20120128-pauls-magic.mp3 A Piece in Paulsmagic]</span> by Chris Vaisvil
[[dwarf15marv]]
 
[[http://micro.soonlabel.com/dwarf_tunings/dwarf15marv2-the_forest.mp3|the forest]] by Chris Vaisvil
<span style="">[http://micro.soonlabel.com/17-ET/20120212-pyclesfip17.mp3 Sister Lesfip Pycnic]</span> by Chris Vaisvil
[[http://chrisvaisvil.com/?p=2776|the forest]]
 
[[dwarf16marv]]
=[[Marvelous_dwarves|Marvelous dwarves]]=
[[dwarf17marv]]
[[dwarf11marv|dwarf11marv]]
[[dwarf18marv]]
 
[[dwarf19marv]]
[[dwarf12marv|dwarf12marv]]
[[dwarf20marv]]
 
[[dwarf21marv]]
[[dwarf13marv|dwarf13marv]]
[[dwarf22marv]]
 
[[dwarf25marv]]
[[dwarf14marv|dwarf14marv]]
 
[[dwarf15marv|dwarf15marv]]
 
[http://micro.soonlabel.com/dwarf_tunings/dwarf15marv2-the_forest.mp3 the forest] by Chris Vaisvil
 
[http://chrisvaisvil.com/?p=2776 the forest]
 
[[dwarf16marv|dwarf16marv]]
 
[[dwarf17marv|dwarf17marv]]
 
[[dwarf18marv|dwarf18marv]]
 
[[dwarf19marv|dwarf19marv]]
 
[[dwarf20marv|dwarf20marv]]
 
[[dwarf21marv|dwarf21marv]]
 
[[dwarf22marv|dwarf22marv]]
 
[[dwarf25marv|dwarf25marv]]
 
=Proper scales=
The scales below are both [[Periodic_scale|strictly proper]] (coherent), and possessed of a considerable amount of harmony. See also [[Strictly_proper_7-note_31edo_scales|strictly proper 7-note 31edo scales]].
 
===7 note scales===
[[prop7a|prop7a]]
 
[[prop7b|prop7b]]
 
[[prop7c|prop7c]]
 
[[prop7d|prop7d]]
 
[[prop7e|prop7e]]
 
[[prop7f|prop7f]]
 
[[prop7g|prop7g]]
 
[[prop7h|prop7h]]
 
===8 note scales===
[[prop8a|prop8a]]
 
[[prop8b|prop8b]]
 
[[prop8c|prop8c]]
 
[[prop8d|prop8d]]
 
[[prop8e|prop8e]]
 
[[prop8f|prop8f]]
 
[[prop8g|prop8g]]
 
[[prop8h|prop8h]]
 
[[prop8i|prop8i]]
 
[[prop8j|prop8j]]
 
[[prop8k|prop8k]]
 
===9 note scales===
[[prop9a|prop9a]]
 
[[prop9b|prop9b]]
 
[[prob9c|prob9c]]
 
[[prop9d|prop9d]]
 
[[prop9e|prop9e]]
 
[[prop9f|prop9f]]
 
[[prop9g|prop9g]]
 
[[prop9h|prop9h]]
 
[[prop9i|prop9i]]
 
[[prob9j|prob9j]]
 
[[prop9k|prop9k]]
 
[[prop9l|prop9l]]
 
[[prop9m|prop9m]]
 
[[prop9n|prop9n]]
 
[[prob9o|prob9o]]
 
[[prop9p|prop9p]]
 
[[prop9q|prop9q]]
 
[[prop9r|prop9r]]
 
===10 note scales===
[[prop10a|prop10a]]
 
[[prop10b|prop10b]]
 
[[prop10c|prop10c]]
 
[[prop10d|prop10d]]
 
[[prop10e|prop10e]]
 
[[prop10f|prop10f]]
 
[[prop10g|prop10g]]


=Proper scales=
[[prop10h|prop10h]]
The scales below are both [[periodic scale|strictly proper]] (coherent), and possessed of a considerable amount of harmony. See also [[strictly proper 7-note 31edo scales]].


===7 note scales===
[[prop10i|prop10i]]
[[prop7a]]
[[prop7b]]
[[prop7c]]
[[prop7d]]
[[prop7e]]
[[prop7f]]
[[prop7g]]
[[prop7h]]


===8 note scales===
[[prop10j|prop10j]]
[[prop8a]]
[[prop8b]]
[[prop8c]]
[[prop8d]]
[[prop8e]]
[[prop8f]]
[[prop8g]]
[[prop8h]]
[[prop8i]]
[[prop8j]]
[[prop8k]]


===9 note scales===
[[prop10k|prop10k]]
[[prop9a]]
[[prop9b]]
[[prob9c]]
[[prop9d]]
[[prop9e]]
[[prop9f]]
[[prop9g]]
[[prop9h]]
[[prop9i]]
[[prob9j]]
[[prop9k]]
[[prop9l]]
[[prop9m]]
[[prop9n]]
[[prob9o]]
[[prop9p]]
[[prop9q]]
[[prop9r]]


===10 note scales===
[[prop10l|prop10l]]
[[prop10a]]
[[prop10b]]
[[prop10c]]
[[prop10d]]
[[prop10e]]
[[prop10f]]
[[prop10g]]
[[prop10h]]
[[prop10i]]
[[prop10j]]
[[prop10k]]
[[prop10l]]


===11 notes scales===  
===11 notes scales===
[[propsep]]
[[propsep|propsep]]


[[media type="custom" key="12079367"]]</pre></div>
[[Category:overview]]
<h4>Original HTML content:</h4>
[[Category:scales]]
<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;Scalesmith&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:21:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:21 --&gt;&lt;!-- ws:start:WikiTextTocRule:22: --&gt;&lt;a href="#Hobbit scales"&gt;Hobbit scales&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:22 --&gt;&lt;!-- ws:start:WikiTextTocRule:23: --&gt; | &lt;a href="#Pump scales"&gt;Pump scales&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:23 --&gt;&lt;!-- ws:start:WikiTextTocRule:24: --&gt; | &lt;a href="#Lesfip (Least squares optimized) scales"&gt;Lesfip (Least squares optimized) scales&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:24 --&gt;&lt;!-- ws:start:WikiTextTocRule:25: --&gt; | &lt;a href="#Marvelous dwarves"&gt;Marvelous dwarves&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:25 --&gt;&lt;!-- ws:start:WikiTextTocRule:26: --&gt; | &lt;a href="#Proper scales"&gt;Proper scales&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:26 --&gt;&lt;!-- ws:start:WikiTextTocRule:27: --&gt;&lt;!-- ws:end:WikiTextTocRule:27 --&gt;&lt;!-- ws:start:WikiTextTocRule:28: --&gt;&lt;!-- ws:end:WikiTextTocRule:28 --&gt;&lt;!-- ws:start:WikiTextTocRule:29: --&gt;&lt;!-- ws:end:WikiTextTocRule:29 --&gt;&lt;!-- ws:start:WikiTextTocRule:30: --&gt;&lt;!-- ws:end:WikiTextTocRule:30 --&gt;&lt;!-- ws:start:WikiTextTocRule:31: --&gt;&lt;!-- ws:end:WikiTextTocRule:31 --&gt;&lt;!-- ws:start:WikiTextTocRule:32: --&gt;
&lt;!-- ws:end:WikiTextTocRule:32 --&gt;Here are tempered scales constructed according to a systematic plan.&lt;br /&gt;
&lt;br /&gt;
&lt;hr /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:1:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Hobbit scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:1 --&gt;&lt;a class="wiki_link" href="/Hobbits"&gt;Hobbit scales&lt;/a&gt;&lt;/h1&gt;
&lt;a class="wiki_link" href="/akea46_13"&gt;akea46_13&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/archytas12"&gt;archytas12&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/ares12"&gt;ares12&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/belobog31"&gt;belobog31&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/breed11"&gt;breed11&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/donar46"&gt;donar46&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/enlil19_13"&gt;enlil19_13&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/horwell22"&gt;horwell22&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/indra31"&gt;indra31&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/jove41"&gt;jove41&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/jubilismic10"&gt;jubilismic10&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/jubilismic12"&gt;jubilismic12&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/supermagic15"&gt;supermagic15&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/madagascar19"&gt;madagascar19&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/marvel9"&gt;marvel9&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/marvel10"&gt;marvel10&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/marvel11"&gt;marvel11&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/marvel12"&gt;marvel12&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/marvel19"&gt;marvel19&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/marvel22"&gt;marvel22&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/marvel22_11"&gt;marvel22_11&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/minerva12"&gt;minerva12&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/minerva22x"&gt;minerva22x&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/nakika12"&gt;nakika12&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/orwellismic9"&gt;orwellismic9&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/guanyin22"&gt;guanyin22&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/portent26"&gt;portent26&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prodigy11"&gt;prodigy11&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prodigy12"&gt;prodigy12&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prodigy29"&gt;prodigy29&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/ragismic19"&gt;ragismic19&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/rankfour46a"&gt;rankfour46a&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/rankfour46b"&gt;rankfour46b&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/spectacle31"&gt;spectacle31&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/starling7"&gt;starling7&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/starling8"&gt;starling8&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/starling9"&gt;starling9&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/starling11"&gt;starling11&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/starling12"&gt;starling12&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/starling15"&gt;starling15&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/starling16"&gt;starling16&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/starling17"&gt;starling17&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/starling19"&gt;starling19&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/thrush12"&gt;thrush12&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/thrush15"&gt;thrush15&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/thunor46"&gt;thunor46&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/unimarv12"&gt;unimarv12&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/unimarv19"&gt;unimarv19&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/urania24"&gt;urania24&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/yajna31"&gt;yajna31&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/zex46"&gt;zex46&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/hobbit_scales/20120418-jove41.mp3" rel="nofollow"&gt;By Jove!&lt;/a&gt;&lt;/span&gt; in jove41 by &lt;a class="wiki_link" href="/Chris%20Vaisvil"&gt;Chris Vaisvil&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/marvel10_2.mp3" rel="nofollow"&gt;notJoelTaylorsTreeSpirit-Marvel10-2&lt;/a&gt; by &lt;a class="wiki_link" href="/Billy%20Stiltner"&gt;Billy Stiltner&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:3:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Pump scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:3 --&gt;Pump scales&lt;/h1&gt;
&lt;a class="wiki_link" href="/Marvel%20family"&gt;Marvel&lt;/a&gt; tempered scales with tetradic comma pumps.&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/pump12_1"&gt;pump12_1&lt;/a&gt;&lt;br /&gt;
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/pump_tunings/pump1/daily20111029-a-pump1-woodwinds-no-verb.mp3" rel="nofollow"&gt;Pump1 by Chris Vaisvil&lt;/a&gt;&lt;/span&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/pump12_2"&gt;pump12_2&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/pump13"&gt;pump13&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/pump14"&gt;pump14&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/pump15"&gt;pump15&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/pump16"&gt;pump16&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/pump17"&gt;pump17&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/pump18"&gt;pump18&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:5:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Lesfip (Least squares optimized) scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:5 --&gt;&lt;a class="wiki_link" href="/Lesfip%20scales"&gt;Lesfip&lt;/a&gt; (Least squares optimized) scales&lt;/h1&gt;
For some set of target pitch classes, such as a tonality diamond, and some fixed error tolerance, these scales are least squares optimized.&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/catakleismic34"&gt;catakleismic34&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/circls12"&gt;circls12&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/cycle19"&gt;cycle19&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/diam9"&gt;diam9&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/doublediadie"&gt;doublediadie&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/eikosanyplusop"&gt;eikosanyplusop&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/garibaldi24opt"&gt;garibaldi24opt&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/harry58"&gt;harry58&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/hemimute31"&gt;hemimute31&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/hexlesfip22"&gt;hexlesfip22&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/leapmute29"&gt;leapmute29&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/leapmute46"&gt;leapmute46&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/major_wing_lesfip"&gt;major_wing_lesfip&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/mynafip22"&gt;mynafip22&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/newts"&gt;newts&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/nufip15"&gt;nufip15&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/orwell22"&gt;orwell22&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/paulsmagic"&gt;paulsmagic&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/porcupine15opt"&gt;porcupine15opt&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Porcupine15Lesfip"&gt;Porcupine15Lesfip&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/pyclesfip17"&gt;pyclesfip17&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/rodan26opt"&gt;rodan26opt&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/rodan31opt"&gt;rodan31opt&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/rodan41opt"&gt;rodan41opt&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/sensax"&gt;sensax&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/stelhexplus"&gt;stelhexplus&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/studwacko"&gt;studwacko&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/unidec26"&gt;unidec26&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/valamute31"&gt;valamute31&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/valamute46"&gt;valamute46&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/valenporc15"&gt;valenporc15&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/val-werck"&gt;val-werck&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/wellfip17"&gt;wellfip17&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/wizard22"&gt;wizard22&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=2020" rel="nofollow"&gt;A New Leaf&lt;/a&gt; &lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/circulating_temperaments/daily20120111-nufip-new-leaf.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;/span&gt; by Chris Vaisvil (in nufip15)&lt;br /&gt;
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/daily20120113-porcupine15lesfip-a-childs-symmetry.mp3" rel="nofollow"&gt;A Child's Symmetry&lt;/a&gt;&lt;/span&gt;&lt;br /&gt;
by Chris Vaisvil (in Porcupine15Lesfip)&lt;br /&gt;
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/daily20120114-iridium-platinum-meter.mp3" rel="nofollow"&gt;Iridium Platinum Meter - for harp, alto flute, upright bass, drum kit&lt;/a&gt;&lt;/span&gt; by Chris Vaisvil (in valenporc15)&lt;br /&gt;
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/19-ET/daily20120115-cycle19-piano.mp3" rel="nofollow"&gt;Cycle 19 piano solo&lt;/a&gt;&lt;/span&gt; by Chris Vaisvil&lt;br /&gt;
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/22-ET/daily20120128-pauls-magic.mp3" rel="nofollow"&gt;A Piece in Paulsmagic&lt;/a&gt;&lt;/span&gt; by Chris Vaisvil&lt;br /&gt;
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/17-ET/20120212-pyclesfip17.mp3" rel="nofollow"&gt;Sister Lesfip Pycnic&lt;/a&gt;&lt;/span&gt; by Chris Vaisvil&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:7:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Marvelous dwarves"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:7 --&gt;&lt;a class="wiki_link" href="/Marvelous%20dwarves"&gt;Marvelous dwarves&lt;/a&gt;&lt;/h1&gt;
&lt;a class="wiki_link" href="/dwarf11marv"&gt;dwarf11marv&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/dwarf12marv"&gt;dwarf12marv&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/dwarf13marv"&gt;dwarf13marv&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/dwarf14marv"&gt;dwarf14marv&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/dwarf15marv"&gt;dwarf15marv&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/dwarf_tunings/dwarf15marv2-the_forest.mp3" rel="nofollow"&gt;the forest&lt;/a&gt; by Chris Vaisvil&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=2776" rel="nofollow"&gt;the forest&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/dwarf16marv"&gt;dwarf16marv&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/dwarf17marv"&gt;dwarf17marv&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/dwarf18marv"&gt;dwarf18marv&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/dwarf19marv"&gt;dwarf19marv&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/dwarf20marv"&gt;dwarf20marv&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/dwarf21marv"&gt;dwarf21marv&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/dwarf22marv"&gt;dwarf22marv&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/dwarf25marv"&gt;dwarf25marv&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:9:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Proper scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:9 --&gt;Proper scales&lt;/h1&gt;
The scales below are both &lt;a class="wiki_link" href="/periodic%20scale"&gt;strictly proper&lt;/a&gt; (coherent), and possessed of a considerable amount of harmony. See also &lt;a class="wiki_link" href="/strictly%20proper%207-note%2031edo%20scales"&gt;strictly proper 7-note 31edo scales&lt;/a&gt;.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:11:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="Proper scales--7 note scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:11 --&gt;7 note scales&lt;/h3&gt;
&lt;a class="wiki_link" href="/prop7a"&gt;prop7a&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop7b"&gt;prop7b&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop7c"&gt;prop7c&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop7d"&gt;prop7d&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop7e"&gt;prop7e&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop7f"&gt;prop7f&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop7g"&gt;prop7g&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop7h"&gt;prop7h&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:13:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc6"&gt;&lt;a name="Proper scales--8 note scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:13 --&gt;8 note scales&lt;/h3&gt;
&lt;a class="wiki_link" href="/prop8a"&gt;prop8a&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop8b"&gt;prop8b&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop8c"&gt;prop8c&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop8d"&gt;prop8d&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop8e"&gt;prop8e&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop8f"&gt;prop8f&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop8g"&gt;prop8g&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop8h"&gt;prop8h&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop8i"&gt;prop8i&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop8j"&gt;prop8j&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop8k"&gt;prop8k&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:15:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc7"&gt;&lt;a name="Proper scales--9 note scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:15 --&gt;9 note scales&lt;/h3&gt;
&lt;a class="wiki_link" href="/prop9a"&gt;prop9a&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop9b"&gt;prop9b&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prob9c"&gt;prob9c&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop9d"&gt;prop9d&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop9e"&gt;prop9e&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop9f"&gt;prop9f&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop9g"&gt;prop9g&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop9h"&gt;prop9h&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop9i"&gt;prop9i&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prob9j"&gt;prob9j&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop9k"&gt;prop9k&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop9l"&gt;prop9l&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop9m"&gt;prop9m&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop9n"&gt;prop9n&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prob9o"&gt;prob9o&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop9p"&gt;prop9p&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop9q"&gt;prop9q&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop9r"&gt;prop9r&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:17:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc8"&gt;&lt;a name="Proper scales--10 note scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:17 --&gt;10 note scales&lt;/h3&gt;
&lt;a class="wiki_link" href="/prop10a"&gt;prop10a&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop10b"&gt;prop10b&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop10c"&gt;prop10c&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop10d"&gt;prop10d&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop10e"&gt;prop10e&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop10f"&gt;prop10f&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop10g"&gt;prop10g&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop10h"&gt;prop10h&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop10i"&gt;prop10i&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop10j"&gt;prop10j&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop10k"&gt;prop10k&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/prop10l"&gt;prop10l&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:19:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc9"&gt;&lt;a name="Proper scales--11 notes scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:19 --&gt;11 notes scales&lt;/h3&gt;
&lt;a class="wiki_link" href="/propsep"&gt;propsep&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
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&lt;/script&gt;&lt;!-- ws:end:WikiTextMediaRule:0 --&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
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