Scalesmith: Difference between revisions

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**Imported revision 291556415 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 291556457 - Original comment: **
Line 1: Line 1:
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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>2012-01-12 02:33:02 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-01-12 02:33:55 UTC</tt>.<br>
: The original revision id was <tt>291556415</tt>.<br>
: The original revision id was <tt>291556457</tt>.<br>
: The revision comment was: <tt></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>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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[[leapmute46]]
[[leapmute46]]
[[newts]]
[[newts]]
[[nufip]]
[[nufip15]]
[[orwell22]]
[[orwell22]]
[[rodan26opt]]
[[rodan26opt]]
Line 268: Line 268:
&lt;a class="wiki_link" href="/leapmute46"&gt;leapmute46&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="/newts"&gt;newts&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="/nufip"&gt;nufip&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="/orwell22"&gt;orwell22&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="/rodan26opt"&gt;rodan26opt&lt;/a&gt;&lt;br /&gt;

Revision as of 02:33, 12 January 2012

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author genewardsmith and made on 2012-01-12 02:33:55 UTC.
The original revision id was 291556457.
The revision comment was:

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

Original Wikitext content:

[[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]]
[[newts]]
[[nufip15]]
[[orwell22]]
[[rodan26opt]]
[[rodan31opt]]
[[rodan41opt]]
[[sensax]]
[[stelhexplus]]
[[studwacko]]
[[unidec26]]
[[valamute31]]
[[valamute46]]
[[val-werck]]
[[wizard22]]

=[[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]]

Original HTML content:

<html><head><title>Scalesmith</title></head><body><!-- ws:start:WikiTextTocRule:20:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --><a href="#Hobbit scales">Hobbit scales</a><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --> | <a href="#Pump scales">Pump scales</a><!-- ws:end:WikiTextTocRule:22 --><!-- ws:start:WikiTextTocRule:23: --> | <a href="#Lesfip (Least squares optimized) scales">Lesfip (Least squares optimized) scales</a><!-- ws:end:WikiTextTocRule:23 --><!-- ws:start:WikiTextTocRule:24: --> | <a href="#Marvelous dwarves">Marvelous dwarves</a><!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --> | <a href="#Proper scales">Proper scales</a><!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --><!-- 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 --><br />
Here are tempered scales constructed according to a systematic plan.<br />
<br />
<hr />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Hobbit scales"></a><!-- ws:end:WikiTextHeadingRule:0 --><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:2:&lt;h1&gt; --><h1 id="toc1"><a name="Pump scales"></a><!-- ws:end:WikiTextHeadingRule:2 -->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:4:&lt;h1&gt; --><h1 id="toc2"><a name="Lesfip (Least squares optimized) scales"></a><!-- ws:end:WikiTextHeadingRule:4 --><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="/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="/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="/val-werck">val-werck</a><br />
<a class="wiki_link" href="/wizard22">wizard22</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Marvelous dwarves"></a><!-- ws:end:WikiTextHeadingRule:6 --><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:8:&lt;h1&gt; --><h1 id="toc4"><a name="Proper scales"></a><!-- ws:end:WikiTextHeadingRule:8 -->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:10:&lt;h3&gt; --><h3 id="toc5"><a name="Proper scales--7 note scales"></a><!-- ws:end:WikiTextHeadingRule:10 -->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:12:&lt;h3&gt; --><h3 id="toc6"><a name="Proper scales--8 note scales"></a><!-- ws:end:WikiTextHeadingRule:12 -->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:14:&lt;h3&gt; --><h3 id="toc7"><a name="Proper scales--9 note scales"></a><!-- ws:end:WikiTextHeadingRule:14 -->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:16:&lt;h3&gt; --><h3 id="toc8"><a name="Proper scales--10 note scales"></a><!-- ws:end:WikiTextHeadingRule:16 -->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:18:&lt;h3&gt; --><h3 id="toc9"><a name="Proper scales--11 notes scales"></a><!-- ws:end:WikiTextHeadingRule:18 -->11 notes scales</h3>
 <a class="wiki_link" href="/propsep">propsep</a></body></html>