Scalesmith
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[[toc|flat]] Here are tempered scales constructed according to a systematic plan. ---- =[[Hobbits|Hobbit scales]]= [[akea46_13]] [[archytas12]] [[ares12]] [[belobog31]] [[breed11]] [[donar46]] [[enlil19_13]] [[horwell22]] [[indra31]] [[jove41]] [[jubilismic10]] [[jubilismic12]] [[keemic15]] [[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]] [[unimarv19]] [[urania24]] [[yajna31]] [[zex46]] =Pump scales= [[Marvel family|Marvel]] tempered scales with tetradic comma pumps. [[pump12_1]] [[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]] =[[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. [[catakleismic34]] [[circls12]] [[diam9]] [[doublediadie]] [[eikosanyplusop]] [[garibaldi24opt]] [[harry58]] [[hemimute31]] [[leapmute29]] [[leapmute46]] [[mynafip22]] [[newts]] [[nufip15]] [[orwell22]] [[porcupine15opt]] [[rodan26opt]] [[rodan31opt]] [[rodan41opt]] [[sensax]] [[stelhexplus]] [[studwacko]] [[unidec26]] [[valamute31]] [[valamute46]] [[valenporc15]] [[val-werck]] [[wellfip17]] [[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) =[[Marvelous dwarves]]= [[dwarf11marv]] [[dwarf12marv]] [[dwarf13marv]] [[dwarf14marv]] [[dwarf15marv]] [[dwarf16marv]] [[dwarf17marv]] [[dwarf18marv]] [[dwarf19marv]] [[dwarf20marv]] [[dwarf21marv]] [[dwarf22marv]] [[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]]. ===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]] [[media type="custom" key="12079367"]]
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<html><head><title>Scalesmith</title></head><body><!-- ws:start:WikiTextTocRule:21:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --><a href="#Hobbit scales">Hobbit scales</a><!-- ws:end:WikiTextTocRule:22 --><!-- ws:start:WikiTextTocRule:23: --> | <a href="#Pump scales">Pump scales</a><!-- ws:end:WikiTextTocRule:23 --><!-- ws:start:WikiTextTocRule:24: --> | <a href="#Lesfip (Least squares optimized) scales">Lesfip (Least squares optimized) scales</a><!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --> | <a href="#Marvelous dwarves">Marvelous dwarves</a><!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --> | <a href="#Proper scales">Proper scales</a><!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --><!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --><!-- ws:end:WikiTextTocRule:28 --><!-- ws:start:WikiTextTocRule:29: --><!-- ws:end:WikiTextTocRule:29 --><!-- ws:start:WikiTextTocRule:30: --><!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --><!-- ws:end:WikiTextTocRule:31 --><!-- ws:start:WikiTextTocRule:32: --> <!-- ws:end:WikiTextTocRule:32 -->Here are tempered scales constructed according to a systematic plan.<br /> <br /> <hr /> <br /> <!-- ws:start:WikiTextHeadingRule:1:<h1> --><h1 id="toc0"><a name="Hobbit scales"></a><!-- ws:end:WikiTextHeadingRule:1 --><a class="wiki_link" href="/Hobbits">Hobbit scales</a></h1> <a class="wiki_link" href="/akea46_13">akea46_13</a><br /> <a class="wiki_link" href="/archytas12">archytas12</a><br /> <a class="wiki_link" href="/ares12">ares12</a><br /> <a class="wiki_link" href="/belobog31">belobog31</a><br /> <a class="wiki_link" href="/breed11">breed11</a><br /> <a class="wiki_link" href="/donar46">donar46</a><br /> <a class="wiki_link" href="/enlil19_13">enlil19_13</a><br /> <a class="wiki_link" href="/horwell22">horwell22</a><br /> <a class="wiki_link" href="/indra31">indra31</a><br /> <a class="wiki_link" href="/jove41">jove41</a><br /> <a class="wiki_link" href="/jubilismic10">jubilismic10</a><br /> <a class="wiki_link" href="/jubilismic12">jubilismic12</a><br /> <a class="wiki_link" href="/keemic15">keemic15</a><br /> <a class="wiki_link" href="/madagascar19">madagascar19</a><br /> <a class="wiki_link" href="/marvel9">marvel9</a><br /> <a class="wiki_link" href="/marvel10">marvel10</a><br /> <a class="wiki_link" href="/marvel11">marvel11</a><br /> <a class="wiki_link" href="/marvel12">marvel12</a><br /> <a class="wiki_link" href="/marvel19">marvel19</a><br /> <a class="wiki_link" href="/marvel22">marvel22</a><br /> <a class="wiki_link" href="/marvel22_11">marvel22_11</a><br /> <a class="wiki_link" href="/minerva12">minerva12</a><br /> <a class="wiki_link" href="/minerva22x">minerva22x</a><br /> <a class="wiki_link" href="/nakika12">nakika12</a><br /> <a class="wiki_link" href="/orwellismic9">orwellismic9</a><br /> <a class="wiki_link" href="/guanyin22">guanyin22</a><br /> <a class="wiki_link" href="/portent26">portent26</a><br /> <a class="wiki_link" href="/prodigy11">prodigy11</a><br /> <a class="wiki_link" href="/prodigy12">prodigy12</a><br /> <a class="wiki_link" href="/prodigy29">prodigy29</a><br /> <a class="wiki_link" href="/ragismic19">ragismic19</a><br /> <a class="wiki_link" href="/rankfour46a">rankfour46a</a><br /> <a class="wiki_link" href="/rankfour46b">rankfour46b</a><br /> <a class="wiki_link" href="/spectacle31">spectacle31</a><br /> <a class="wiki_link" href="/starling7">starling7</a><br /> <a class="wiki_link" href="/starling8">starling8</a><br /> <a class="wiki_link" href="/starling9">starling9</a><br /> <a class="wiki_link" href="/starling11">starling11</a><br /> <a class="wiki_link" href="/starling12">starling12</a><br /> <a class="wiki_link" href="/starling15">starling15</a><br /> <a class="wiki_link" href="/starling16">starling16</a><br /> <a class="wiki_link" href="/starling17">starling17</a><br /> <a class="wiki_link" href="/starling19">starling19</a><br /> <a class="wiki_link" href="/thrush12">thrush12</a><br /> <a class="wiki_link" href="/thrush15">thrush15</a><br /> <a class="wiki_link" href="/thunor46">thunor46</a><br /> <a class="wiki_link" href="/unimarv19">unimarv19</a><br /> <a class="wiki_link" href="/urania24">urania24</a><br /> <a class="wiki_link" href="/yajna31">yajna31</a><br /> <a class="wiki_link" href="/zex46">zex46</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:3:<h1> --><h1 id="toc1"><a name="Pump scales"></a><!-- ws:end:WikiTextHeadingRule:3 -->Pump scales</h1> <a class="wiki_link" href="/Marvel%20family">Marvel</a> tempered scales with tetradic comma pumps.<br /> <br /> <a class="wiki_link" href="/pump12_1">pump12_1</a><br /> <a class="wiki_link_ext" href="http://micro.soonlabel.com/pump_tunings/pump1/daily20111029-a-pump1-woodwinds-no-verb.mp3" rel="nofollow">Pump1 by Chris Vaisvil</a><br /> <a class="wiki_link" href="/pump12_2">pump12_2</a><br /> <a class="wiki_link" href="/pump13">pump13</a><br /> <a class="wiki_link" href="/pump14">pump14</a><br /> <a class="wiki_link" href="/pump15">pump15</a><br /> <a class="wiki_link" href="/pump16">pump16</a><br /> <a class="wiki_link" href="/pump17">pump17</a><br /> <a class="wiki_link" href="/pump18">pump18</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:5:<h1> --><h1 id="toc2"><a name="Lesfip (Least squares optimized) scales"></a><!-- ws:end:WikiTextHeadingRule:5 --><a class="wiki_link" href="/Lesfip%20scales">Lesfip</a> (Least squares optimized) scales</h1> For some set of target pitch classes, such as a tonality diamond, and some fixed error tolerance, these scales are least squares optimized.<br /> <br /> <a class="wiki_link" href="/catakleismic34">catakleismic34</a><br /> <a class="wiki_link" href="/circls12">circls12</a><br /> <a class="wiki_link" href="/diam9">diam9</a><br /> <a class="wiki_link" href="/doublediadie">doublediadie</a><br /> <a class="wiki_link" href="/eikosanyplusop">eikosanyplusop</a><br /> <a class="wiki_link" href="/garibaldi24opt">garibaldi24opt</a><br /> <a class="wiki_link" href="/harry58">harry58</a><br /> <a class="wiki_link" href="/hemimute31">hemimute31</a><br /> <a class="wiki_link" href="/leapmute29">leapmute29</a><br /> <a class="wiki_link" href="/leapmute46">leapmute46</a><br /> <a class="wiki_link" href="/mynafip22">mynafip22</a><br /> <a class="wiki_link" href="/newts">newts</a><br /> <a class="wiki_link" href="/nufip15">nufip15</a><br /> <a class="wiki_link" href="/orwell22">orwell22</a><br /> <a class="wiki_link" href="/porcupine15opt">porcupine15opt</a><br /> <a class="wiki_link" href="/rodan26opt">rodan26opt</a><br /> <a class="wiki_link" href="/rodan31opt">rodan31opt</a><br /> <a class="wiki_link" href="/rodan41opt">rodan41opt</a><br /> <a class="wiki_link" href="/sensax">sensax</a><br /> <a class="wiki_link" href="/stelhexplus">stelhexplus</a><br /> <a class="wiki_link" href="/studwacko">studwacko</a><br /> <a class="wiki_link" href="/unidec26">unidec26</a><br /> <a class="wiki_link" href="/valamute31">valamute31</a><br /> <a class="wiki_link" href="/valamute46">valamute46</a><br /> <a class="wiki_link" href="/valenporc15">valenporc15</a><br /> <a class="wiki_link" href="/val-werck">val-werck</a><br /> <a class="wiki_link" href="/wellfip17">wellfip17</a><br /> <a class="wiki_link" href="/wizard22">wizard22</a><br /> <br /> <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=2020" rel="nofollow">A New Leaf</a> <a class="wiki_link_ext" href="http://micro.soonlabel.com/circulating_temperaments/daily20120111-nufip-new-leaf.mp3" rel="nofollow">play</a> by Chris Vaisvil (in nufip15)<br /> <br /> <!-- ws:start:WikiTextHeadingRule:7:<h1> --><h1 id="toc3"><a name="Marvelous dwarves"></a><!-- ws:end:WikiTextHeadingRule:7 --><a class="wiki_link" href="/Marvelous%20dwarves">Marvelous dwarves</a></h1> <a class="wiki_link" href="/dwarf11marv">dwarf11marv</a><br /> <a class="wiki_link" href="/dwarf12marv">dwarf12marv</a><br /> <a class="wiki_link" href="/dwarf13marv">dwarf13marv</a><br /> <a class="wiki_link" href="/dwarf14marv">dwarf14marv</a><br /> <a class="wiki_link" href="/dwarf15marv">dwarf15marv</a><br /> <a class="wiki_link" href="/dwarf16marv">dwarf16marv</a><br /> <a class="wiki_link" href="/dwarf17marv">dwarf17marv</a><br /> <a class="wiki_link" href="/dwarf18marv">dwarf18marv</a><br /> <a class="wiki_link" href="/dwarf19marv">dwarf19marv</a><br /> <a class="wiki_link" href="/dwarf20marv">dwarf20marv</a><br /> <a class="wiki_link" href="/dwarf21marv">dwarf21marv</a><br /> <a class="wiki_link" href="/dwarf22marv">dwarf22marv</a><br /> <a class="wiki_link" href="/dwarf25marv">dwarf25marv</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:9:<h1> --><h1 id="toc4"><a name="Proper scales"></a><!-- ws:end:WikiTextHeadingRule:9 -->Proper scales</h1> The scales below are both <a class="wiki_link" href="/periodic%20scale">strictly proper</a> (coherent), and possessed of a considerable amount of harmony. See also <a class="wiki_link" href="/strictly%20proper%207-note%2031edo%20scales">strictly proper 7-note 31edo scales</a>.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:11:<h3> --><h3 id="toc5"><a name="Proper scales--7 note scales"></a><!-- ws:end:WikiTextHeadingRule:11 -->7 note scales</h3> <a class="wiki_link" href="/prop7a">prop7a</a><br /> <a class="wiki_link" href="/prop7b">prop7b</a><br /> <a class="wiki_link" href="/prop7c">prop7c</a><br /> <a class="wiki_link" href="/prop7d">prop7d</a><br /> <a class="wiki_link" href="/prop7e">prop7e</a><br /> <a class="wiki_link" href="/prop7f">prop7f</a><br /> <a class="wiki_link" href="/prop7g">prop7g</a><br /> <a class="wiki_link" href="/prop7h">prop7h</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:13:<h3> --><h3 id="toc6"><a name="Proper scales--8 note scales"></a><!-- ws:end:WikiTextHeadingRule:13 -->8 note scales</h3> <a class="wiki_link" href="/prop8a">prop8a</a><br /> <a class="wiki_link" href="/prop8b">prop8b</a><br /> <a class="wiki_link" href="/prop8c">prop8c</a><br /> <a class="wiki_link" href="/prop8d">prop8d</a><br /> <a class="wiki_link" href="/prop8e">prop8e</a><br /> <a class="wiki_link" href="/prop8f">prop8f</a><br /> <a class="wiki_link" href="/prop8g">prop8g</a><br /> <a class="wiki_link" href="/prop8h">prop8h</a><br /> <a class="wiki_link" href="/prop8i">prop8i</a><br /> <a class="wiki_link" href="/prop8j">prop8j</a><br /> <a class="wiki_link" href="/prop8k">prop8k</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:15:<h3> --><h3 id="toc7"><a name="Proper scales--9 note scales"></a><!-- ws:end:WikiTextHeadingRule:15 -->9 note scales</h3> <a class="wiki_link" href="/prop9a">prop9a</a><br /> <a class="wiki_link" href="/prop9b">prop9b</a><br /> <a class="wiki_link" href="/prob9c">prob9c</a><br /> <a class="wiki_link" href="/prop9d">prop9d</a><br /> <a class="wiki_link" href="/prop9e">prop9e</a><br /> <a class="wiki_link" href="/prop9f">prop9f</a><br /> <a class="wiki_link" href="/prop9g">prop9g</a><br /> <a class="wiki_link" href="/prop9h">prop9h</a><br /> <a class="wiki_link" href="/prop9i">prop9i</a><br /> <a class="wiki_link" href="/prob9j">prob9j</a><br /> <a class="wiki_link" href="/prop9k">prop9k</a><br /> <a class="wiki_link" href="/prop9l">prop9l</a><br /> <a class="wiki_link" href="/prop9m">prop9m</a><br /> <a class="wiki_link" href="/prop9n">prop9n</a><br /> <a class="wiki_link" href="/prob9o">prob9o</a><br /> <a class="wiki_link" href="/prop9p">prop9p</a><br /> <a class="wiki_link" href="/prop9q">prop9q</a><br /> <a class="wiki_link" href="/prop9r">prop9r</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:17:<h3> --><h3 id="toc8"><a name="Proper scales--10 note scales"></a><!-- ws:end:WikiTextHeadingRule:17 -->10 note scales</h3> <a class="wiki_link" href="/prop10a">prop10a</a><br /> <a class="wiki_link" href="/prop10b">prop10b</a><br /> <a class="wiki_link" href="/prop10c">prop10c</a><br /> <a class="wiki_link" href="/prop10d">prop10d</a><br /> <a class="wiki_link" href="/prop10e">prop10e</a><br /> <a class="wiki_link" href="/prop10f">prop10f</a><br /> <a class="wiki_link" href="/prop10g">prop10g</a><br /> <a class="wiki_link" href="/prop10h">prop10h</a><br /> <a class="wiki_link" href="/prop10i">prop10i</a><br /> <a class="wiki_link" href="/prop10j">prop10j</a><br /> <a class="wiki_link" href="/prop10k">prop10k</a><br /> <a class="wiki_link" href="/prop10l">prop10l</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:19:<h3> --><h3 id="toc9"><a name="Proper scales--11 notes scales"></a><!-- ws:end:WikiTextHeadingRule:19 -->11 notes scales</h3> <a class="wiki_link" href="/propsep">propsep</a><br /> <br /> <!-- ws:start:WikiTextMediaRule:0:<img src="http://www.wikispaces.com/site/embedthumbnail/custom/12079367?h=0&w=0" class="WikiMedia WikiMediaCustom" id="wikitext@@media@@type=&quot;custom&quot; key=&quot;12079367&quot;" title="Custom Media"/> --><script type="text/javascript" src="http://mediaplayer.yahoo.com/js"> </script><!-- ws:end:WikiTextMediaRule:0 --></body></html>