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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;
&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/custom/12079367?h=0&amp;amp;w=0&amp;quot; class=&amp;quot;WikiMedia WikiMediaCustom&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;custom&amp;amp;quot; key=&amp;amp;quot;12079367&amp;amp;quot;&amp;quot; title=&amp;quot;Custom Media&amp;quot;/&amp;gt; --&gt;&lt;script type="text/javascript" src="http://mediaplayer.yahoo.com/js"&gt;
&lt;/script&gt;&lt;!-- ws:end:WikiTextMediaRule:0 --&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

Here are tempered scales constructed according to a systematic plan.

Hobbit scales

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

By Jove! in jove41 by Chris Vaisvil

notJoelTaylorsTreeSpirit-Marvel10-2 by Billy Stiltner

Pump scales

Marvel tempered scales with tetradic comma pumps.

pump12_1

Pump1 by Chris Vaisvil

pump12_2

pump13

pump14

pump15

pump16

pump17

pump18

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.

catakleismic34

circls12

cycle19

diam9

doublediadie

eikosanyplusop

garibaldi24opt

harry58

hemimute31

hexlesfip22

leapmute29

leapmute46

major_wing_lesfip

mynafip22

newts

nufip15

orwell22

paulsmagic

porcupine15opt

Porcupine15Lesfip

pyclesfip17

rodan26opt

rodan31opt

rodan41opt

sensax

stelhexplus

studwacko

unidec26

valamute31

valamute46

valenporc15

val-werck

wellfip17

wizard22

A New Leaf play by Chris Vaisvil (in nufip15)

A Child's Symmetry

by Chris Vaisvil (in Porcupine15Lesfip)

Iridium Platinum Meter - for harp, alto flute, upright bass, drum kit by Chris Vaisvil (in valenporc15)

Cycle 19 piano solo by Chris Vaisvil

A Piece in Paulsmagic by Chris Vaisvil

Sister Lesfip Pycnic by Chris Vaisvil

Marvelous dwarves

dwarf11marv

dwarf12marv

dwarf13marv

dwarf14marv

dwarf15marv

the forest by Chris Vaisvil

the forest

dwarf16marv

dwarf17marv

dwarf18marv

dwarf19marv

dwarf20marv

dwarf21marv

dwarf22marv

dwarf25marv

Proper scales

The scales below are both strictly proper (coherent), and possessed of a considerable amount of harmony. See also strictly proper 7-note 31edo scales.

7 note scales

prop7a

prop7b

prop7c

prop7d

prop7e

prop7f

prop7g

prop7h

8 note scales

prop8a

prop8b

prop8c

prop8d

prop8e

prop8f

prop8g

prop8h

prop8i

prop8j

prop8k

9 note scales

prop9a

prop9b

prob9c

prop9d

prop9e

prop9f

prop9g

prop9h

prop9i

prob9j

prop9k

prop9l

prop9m

prop9n

prob9o

prop9p

prop9q

prop9r

10 note scales

prop10a

prop10b

prop10c

prop10d

prop10e

prop10f

prop10g

prop10h

prop10i

prop10j

prop10k

prop10l

11 notes scales

propsep

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