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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{todo|inline=1|add definition|improve synopsis|comment=Add an intro talking about what a scalesmith actually is.}}
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]] ==
''See [[:Category:Hobbits|Category:Hobbits]]''
* [[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]]
* [http://micro.soonlabel.com/hobbit_scales/20120418-jove41.mp3 By Jove!]</span> in jove41 by [[Chris Vaisvil]]
* [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/marvel10_2.mp3 notJoelTaylorsTreeSpirit-Marvel10-2] by [[Billy Stiltner]]


=[[Hobbits|Hobbit scales]]=  
== Pump 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]]


&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]]
[[Marvel family|Marvel]] tempered scales with [[tetrad]]ic [[comma pump]]s.
[[http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/marvel10_2.mp3|notJoelTaylorsTreeSpirit-Marvel10-2]] by [[Billy Stiltner]]


=Pump scales=
* [[pump12_1]]
[[Marvel family|Marvel]] tempered scales with tetradic comma pumps.
* [http://micro.soonlabel.com/pump_tunings/pump1/daily20111029-a-pump1-woodwinds-no-verb.mp3 Pump1 by Chris Vaisvil]
* [[pump12_2]]
* [[pump13]]
* [[pump14]]
* [[pump15]]
* [[pump16]]
* [[pump17]]
* [[pump18]]
''See also: [[:Category:Comma pump|Category:Comma pump]]''


[[pump12_1]]
== [[Lesfip scales|Lesfip]] (Least squares optimized) scales ==
&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;
''See: [[:Category:Lesfip scales|Category:Lesfip scales]]''
[[pump12_2]]
[[pump13]]
[[pump14]]
[[pump15]]
[[pump16]]
[[pump17]]
[[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]]
[[circls12]]
* [[circls12]]
[[cycle19]]
* [[cycle19]]
[[diam9]]
* [[diam9]]
[[doublediadie]]
* [[doublediadie]]
[[eikosanyplusop]]
* [[eikosanyplusop]]
[[garibaldi24opt]]
* [[garibaldi24opt]]
[[harry58]]
* [[harry58]]
[[hemimute31]]
* [[hemimute31]]
[[hexlesfip22]]
* [[hexlesfip22]]
[[leapmute29]]
* [[leapmute29]]
[[leapmute46]]
* [[leapmute46]]
[[major_wing_lesfip]]
* [[major_wing_lesfip]]
[[mynafip22]]
* [[mynafip22]]
[[newts]]
* [[newts]]
[[nufip15]]
* [[nufip15]]
[[orwell22]]
* [[orwell22]]
[[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] [http://micro.soonlabel.com/circulating_temperaments/daily20120111-nufip-new-leaf.mp3 play] by [[Chris Vaisvil]] (in nufip15)
* [http://micro.soonlabel.com/15-ET/daily20120113-porcupine15lesfip-a-childs-symmetry.mp3 A Child's Symmetry] by Chris Vaisvil (in Porcupine15Lesfip)
* [http://micro.soonlabel.com/15-ET/daily20120114-iridium-platinum-meter.mp3 Iridium Platinum Meter - for harp, alto flute, upright bass, drum kit] by Chris Vaisvil (in valenporc15)
* [http://micro.soonlabel.com/19-ET/daily20120115-cycle19-piano.mp3 Cycle 19 piano solo] by Chris Vaisvil
* [http://micro.soonlabel.com/22-ET/daily20120128-pauls-magic.mp3 A Piece in Paulsmagic] by Chris Vaisvil
* [http://micro.soonlabel.com/17-ET/20120212-pyclesfip17.mp3 Sister Lesfip Pycnic] by Chris Vaisvil


[[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)
== [[Marvelous dwarves]] ==
&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;
* [[dwarf11marv]]
by Chris Vaisvil (in Porcupine15Lesfip)
* [[dwarf12marv]]
&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)
* [[dwarf13marv]]
&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
* [[dwarf14marv]]
&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
* [[dwarf15marv]]
&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
* [http://micro.soonlabel.com/dwarf_tunings/dwarf15marv2-the_forest.mp3 the forest] by [[Chris Vaisvil]]
* [http://chrisvaisvil.com/?p=2776 the forest]
* [[dwarf16marv]]
* [[dwarf17marv]]
* [[dwarf18marv]]
* [[dwarf19marv]]
* [[dwarf20marv]]
* [[dwarf21marv]]
* [[dwarf22marv]]
* [[dwarf25marv]]
''See also: [[:Category:Dwarves|Category:Dwarves]], [[:Category:Marvel|Category:Marvel]]''


=[[Marvelous dwarves]]=  
== Proper scales ==
[[dwarf11marv]]
The scales below are both [[Periodic scale|strictly proper]] (coherent), and possessed of a considerable amount of harmony. See also [[strictly proper 7-tone 31edo scales]].
[[dwarf12marv]]
[[dwarf13marv]]
[[dwarf14marv]]
[[dwarf15marv]]
[[http://micro.soonlabel.com/dwarf_tunings/dwarf15marv2-the_forest.mp3|the forest]] by Chris Vaisvil
[[http://chrisvaisvil.com/?p=2776|the forest]]
[[dwarf16marv]]
[[dwarf17marv]]
[[dwarf18marv]]
[[dwarf19marv]]
[[dwarf20marv]]
[[dwarf21marv]]
[[dwarf22marv]]
[[dwarf25marv]]


=Proper scales=  
=== 7 note 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]].
* [[prop7a]]
* [[prop7b]]
* [[prop7c]]
* [[prop7d]]
* [[prop7e]]
* [[prop7f]]
* [[prop7g]]
* [[prop7h]]


===7 note scales===  
=== 8 note scales ===
[[prop7a]]
* [[prop8a]]
[[prop7b]]
* [[prop8b]]
[[prop7c]]
* [[prop8c]]
[[prop7d]]
* [[prop8d]]
[[prop7e]]
* [[prop8e]]
[[prop7f]]
* [[prop8f]]
[[prop7g]]
* [[prop8g]]
[[prop7h]]
* [[prop8h]]
* [[prop8i]]
* [[prop8j]]
* [[prop8k]]


===8 note scales===  
=== 9 note scales ===
[[prop8a]]
* [[prop9a]]
[[prop8b]]
* [[prop9b]]
[[prop8c]]
* [[prob9c]]
[[prop8d]]
* [[prop9d]]
[[prop8e]]
* [[prop9e]]
[[prop8f]]
* [[prop9f]]
[[prop8g]]
* [[prop9g]]
[[prop8h]]
* [[prop9h]]
[[prop8i]]
* [[prop9i]]
[[prop8j]]
* [[prob9j]]
[[prop8k]]
* [[prop9k]]
* [[prop9l]]
* [[prop9m]]
* [[prop9n]]
* [[prob9o]]
* [[prop9p]]
* [[prop9q]]
* [[prop9r]]


===9 note scales===  
=== 10 note scales ===
[[prop9a]]
* [[prop10a]]
[[prop9b]]
* [[prop10b]]
[[prob9c]]
* [[prop10c]]
[[prop9d]]
* [[prop10d]]
[[prop9e]]
* [[prop10e]]
[[prop9f]]
* [[prop10f]]
[[prop9g]]
* [[prop10g]]
[[prop9h]]
* [[prop10h]]
[[prop9i]]
* [[prop10i]]
[[prob9j]]
* [[prop10j]]
[[prop9k]]
* [[prop10k]]
[[prop9l]]
* [[prop10l]]
[[prop9m]]
[[prop9n]]
[[prob9o]]
[[prop9p]]
[[prop9q]]
[[prop9r]]


===10 note scales===  
=== 11 notes scales ===
[[prop10a]]
* [[propsep]]
[[prop10b]]
''See also: [[:Category:Proper|Category:Proper]]''
[[prop10c]]
[[prop10d]]
[[prop10e]]
[[prop10f]]
[[prop10g]]
[[prop10h]]
[[prop10i]]
[[prop10j]]
[[prop10k]]
[[prop10l]]


===11 notes scales===
{{Navbox scale gallery}}
[[propsep]]


[[media type="custom" key="12079367"]]</pre></div>
[[Category:Lists of scales]]
<h4>Original HTML content:</h4>
[[Category:Listen]]
<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>

Latest revision as of 20:11, 11 February 2025

Todo: add definition, improve synopsis

Add an intro talking about what a scalesmith actually is.

Here are tempered scales constructed according to a systematic plan.

Hobbit scales

See Category:Hobbits

Pump scales

Marvel tempered scales with tetradic comma pumps.

See also: Category:Comma pump

Lesfip (Least squares optimized) scales

See: Category:Lesfip scales

For some set of target pitch classes, such as a tonality diamond, and some fixed error tolerance, these scales are least squares optimized.

Marvelous dwarves

See also: Category:Dwarves, Category:Marvel

Proper scales

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

7 note scales

8 note scales

9 note scales

10 note scales

11 notes scales

See also: Category:Proper


ViewTalkEditScale galleries
JI scales 12-tone JICombination product setConstant structureHarry Partch-relatedMaximal harmony epimorphicMOS transversalNon-octave JIWakalixZ-polygon transversalOther JI
Full list: Category:Just intonation scales
Tempered scales 11-tone MOS12-tone temperedChromatic pairClipperDouble modeEssentially temperedFantasy detemperMarvel wooMeantoneMin ambiguityMOS cradleNegri-9Neutral thirdNon-octave temperedScalesmith systematicTernaryOther tempered
Full list: Category:Tempered scales
Scales in EDOs in 10edo1113141516171819202122232425262728293031333435363738404142434649537280
All other scale gallery pages are included in Category:Lists of scales