General theory: Difference between revisions
Jump to navigation
Jump to search
Wikispaces>akjmicro **Imported revision 312185448 - Original comment: ** |
Wikispaces>mbattaglia1 **Imported revision 313519846 - 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: | : This revision was by author [[User:mbattaglia1|mbattaglia1]] and made on <tt>2012-03-22 07:53:29 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>313519846</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> | ||
| Line 18: | Line 18: | ||
[[xenharmonic/Equal Temperaments|Equal Temperaments]] | [[xenharmonic/Equal Temperaments|Equal Temperaments]] | ||
[[xenharmonic/Periods and Generators|Periods and Generators]] | [[xenharmonic/Periods and Generators|Periods and Generators]] | ||
[[xenharmonic/EDO|EDO]] | [[xenharmonic/EDO|EDO]] | ||
[[xenharmonic/EDT|EDT]] | [[xenharmonic/EDT|EDT]] | ||
| Line 25: | Line 24: | ||
[[xenharmonic/AID|Arithmetic irrational divisions]] | [[xenharmonic/AID|Arithmetic irrational divisions]] | ||
[[ADO|ADO (Arithmetic rational divisions)]] | [[ADO|ADO (Arithmetic rational divisions)]] | ||
=How it Works= | =How it Works= | ||
[[xenharmonic/Monzos|Monzos]] | [[xenharmonic/Monzos|Monzos]] | ||
[[xenharmonic/Vals|Vals]] | [[xenharmonic/Vals|Vals]] (see also [[xenharmonic/Keenan's explanation of vals|Keenan's explanation of vals]]) | ||
[[xenharmonic/Mappings|Mappings]] | [[xenharmonic/Mappings|Mappings]] | ||
[[xenharmonic/Patent val|Patent val]] | [[xenharmonic/Patent val|Patent val]] | ||
[[xenharmonic/tempering out|Tempering Out]] | [[xenharmonic/tempering out|Tempering Out]] | ||
[[xenharmonic/Rank and codimension|Rank and codimension]] | [[xenharmonic/Rank and codimension|Rank and codimension]] | ||
=Javascript tools= | |||
[[xenharmonic/Interval calculator|Interval calculator--a nice online interval calculator tool, shows linear fraction and EDO fraction expansions, too]] | |||
[[xenharmonic/AnimatedSternBrocotTree|An animated Stern-Brocot tree, courtesy untwelve.org]] | |||
[[http://www.untwelve.org/javascript_demos/MOSring.html|An animated Javascript Moment of Symmetry (MOS) ring demo, another untwelve.org creation]] | |||
[[http://www.toverlamp.org/static/wickisynth/wickisynth.html|An excellent Firefox browser tuning demo synthesizer, 'Wicksynth']] | |||
=Additional Stuff= | =Additional Stuff= | ||
| Line 68: | Line 67: | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Equal%20Temperaments">Equal Temperaments</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Equal%20Temperaments">Equal Temperaments</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Periods%20and%20Generators">Periods and Generators</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Periods%20and%20Generators">Periods and Generators</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/EDO">EDO</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/EDO">EDO</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/EDT">EDT</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/EDT">EDT</a><br /> | ||
| Line 76: | Line 74: | ||
<a class="wiki_link" href="/ADO">ADO (Arithmetic rational divisions)</a><br /> | <a class="wiki_link" href="/ADO">ADO (Arithmetic rational divisions)</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2 | <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="How it Works"></a><!-- ws:end:WikiTextHeadingRule:4 -->How it Works</h1> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Monzos">Monzos</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Monzos">Monzos</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Vals">Vals</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Vals">Vals</a> (see also <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Keenan%27s%20explanation%20of%20vals">Keenan's explanation of vals</a>)<br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Mappings">Mappings</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Mappings">Mappings</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Patent%20val">Patent val</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Patent%20val">Patent val</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/tempering%20out">Tempering Out</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tempering%20out">Tempering Out</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Rank%20and%20codimension">Rank and codimension</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Rank%20and%20codimension">Rank and codimension</a><br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Javascript tools"></a><!-- ws:end:WikiTextHeadingRule:6 -->Javascript tools</h1> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Interval%20calculator">Interval calculator--a nice online interval calculator tool, shows linear fraction and EDO fraction expansions, too</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/AnimatedSternBrocotTree">An animated Stern-Brocot tree, courtesy untwelve.org</a><br /> | |||
<a class="wiki_link_ext" href="http://www.untwelve.org/javascript_demos/MOSring.html" rel="nofollow">An animated Javascript Moment of Symmetry (MOS) ring demo, another untwelve.org creation</a><br /> | |||
<a class="wiki_link_ext" href="http://www.toverlamp.org/static/wickisynth/wickisynth.html" rel="nofollow">An excellent Firefox browser tuning demo synthesizer, 'Wicksynth'</a><br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Additional Stuff"></a><!-- ws:end:WikiTextHeadingRule:8 -->Additional Stuff</h1> | <!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Additional Stuff"></a><!-- ws:end:WikiTextHeadingRule:8 -->Additional Stuff</h1> | ||
Revision as of 07:53, 22 March 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 mbattaglia1 and made on 2012-03-22 07:53:29 UTC.
- The original revision id was 313519846.
- 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:
Here are some links to some of the key ideas underlying tuning: =Basics= [[xenharmonic/Chords|Chords]] [[xenharmonic/ScaleIndex|Scales]] [[xenharmonic/Notation|Notation]] =Core Concepts= [[xenharmonic/JI|JI]] [[xenharmonic/Regular Temperaments|Regular Temperaments]] [[xenharmonic/Equal Temperaments|Equal Temperaments]] [[xenharmonic/Periods and Generators|Periods and Generators]] [[xenharmonic/EDO|EDO]] [[xenharmonic/EDT|EDT]] [[xenharmonic/MOSScales|MOS Scales]] [[xenharmonic/EDL|EDL (Equal divisions of length)]] [[xenharmonic/AID|Arithmetic irrational divisions]] [[ADO|ADO (Arithmetic rational divisions)]] =How it Works= [[xenharmonic/Monzos|Monzos]] [[xenharmonic/Vals|Vals]] (see also [[xenharmonic/Keenan's explanation of vals|Keenan's explanation of vals]]) [[xenharmonic/Mappings|Mappings]] [[xenharmonic/Patent val|Patent val]] [[xenharmonic/tempering out|Tempering Out]] [[xenharmonic/Rank and codimension|Rank and codimension]] =Javascript tools= [[xenharmonic/Interval calculator|Interval calculator--a nice online interval calculator tool, shows linear fraction and EDO fraction expansions, too]] [[xenharmonic/AnimatedSternBrocotTree|An animated Stern-Brocot tree, courtesy untwelve.org]] [[http://www.untwelve.org/javascript_demos/MOSring.html|An animated Javascript Moment of Symmetry (MOS) ring demo, another untwelve.org creation]] [[http://www.toverlamp.org/static/wickisynth/wickisynth.html|An excellent Firefox browser tuning demo synthesizer, 'Wicksynth']] =Additional Stuff= [[xenharmonic/Benedetti height|Benedetti height]] [[xenharmonic/Tenney Height|Tenney Height]] [[xenharmonic/Graham complexity|Graham complexity]] [[xenharmonic/Generator complexity|Generator complexity]] [[xenharmonic/Lumma stability|Lumma stability]] [[xenharmonic/chord of nature|chord of nature]] [[xenharmonic/Modal UDP Notation|Modal UDP Notation]] [[xenharmonic/Consonant class scale|Consonant Class Scale]] [[xenharmonic/Maximum variety|Maximum variety]] [[xenharmonic/distributional evenness|Distributional Evenness]] [[xenharmonic/Essential tempering commas|Essential tempering commas]] =Advanced Theory= [[xenharmonic/Mathematical Theory|Mathematical Theory]]
Original HTML content:
<html><head><title>General Theory</title></head><body>Here are some links to some of the key ideas underlying tuning:<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Basics"></a><!-- ws:end:WikiTextHeadingRule:0 -->Basics</h1> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chords">Chords</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/ScaleIndex">Scales</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Notation">Notation</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h1> --><h1 id="toc1"><a name="Core Concepts"></a><!-- ws:end:WikiTextHeadingRule:2 -->Core Concepts</h1> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/JI">JI</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Regular%20Temperaments">Regular Temperaments</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Equal%20Temperaments">Equal Temperaments</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Periods%20and%20Generators">Periods and Generators</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/EDO">EDO</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/EDT">EDT</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/MOSScales">MOS Scales</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/EDL">EDL (Equal divisions of length)</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/AID">Arithmetic irrational divisions</a><br /> <a class="wiki_link" href="/ADO">ADO (Arithmetic rational divisions)</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h1> --><h1 id="toc2"><a name="How it Works"></a><!-- ws:end:WikiTextHeadingRule:4 -->How it Works</h1> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Monzos">Monzos</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Vals">Vals</a> (see also <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Keenan%27s%20explanation%20of%20vals">Keenan's explanation of vals</a>)<br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Mappings">Mappings</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Patent%20val">Patent val</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tempering%20out">Tempering Out</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Rank%20and%20codimension">Rank and codimension</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h1> --><h1 id="toc3"><a name="Javascript tools"></a><!-- ws:end:WikiTextHeadingRule:6 -->Javascript tools</h1> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Interval%20calculator">Interval calculator--a nice online interval calculator tool, shows linear fraction and EDO fraction expansions, too</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/AnimatedSternBrocotTree">An animated Stern-Brocot tree, courtesy untwelve.org</a><br /> <a class="wiki_link_ext" href="http://www.untwelve.org/javascript_demos/MOSring.html" rel="nofollow">An animated Javascript Moment of Symmetry (MOS) ring demo, another untwelve.org creation</a><br /> <a class="wiki_link_ext" href="http://www.toverlamp.org/static/wickisynth/wickisynth.html" rel="nofollow">An excellent Firefox browser tuning demo synthesizer, 'Wicksynth'</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h1> --><h1 id="toc4"><a name="Additional Stuff"></a><!-- ws:end:WikiTextHeadingRule:8 -->Additional Stuff</h1> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Benedetti%20height">Benedetti height</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tenney%20Height">Tenney Height</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Graham%20complexity">Graham complexity</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Generator%20complexity">Generator complexity</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Lumma%20stability">Lumma stability</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/chord%20of%20nature">chord of nature</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Modal%20UDP%20Notation">Modal UDP Notation</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Consonant%20class%20scale">Consonant Class Scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Maximum%20variety">Maximum variety</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/distributional%20evenness">Distributional Evenness</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Essential%20tempering%20commas">Essential tempering commas</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:10:<h1> --><h1 id="toc5"><a name="Advanced Theory"></a><!-- ws:end:WikiTextHeadingRule:10 -->Advanced Theory</h1> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Mathematical%20Theory">Mathematical Theory</a></body></html>