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Wikispaces>mbattaglia1 **Imported revision 355646472 - Original comment: ** |
Wikispaces>mbattaglia1 **Imported revision 355647886 - Original comment: ** |
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<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:mbattaglia1|mbattaglia1]] and made on <tt>2012-07-31 03: | : This revision was by author [[User:mbattaglia1|mbattaglia1]] and made on <tt>2012-07-31 03:38:19 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>355647886</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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<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">Tuning theory can become heavily mathematical, and here are links to some of the pages which wade into deeper waters. | <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">Tuning theory can become heavily mathematical, and here are links to some of the pages which wade into deeper waters. | ||
== == | == == | ||
=Scale Basics= | |||
[[Periodic scale]] | [[Periodic scale]] | ||
[[Mathematics of MOS|MOS scales]] | [[Mathematics of MOS|MOS scales]] | ||
| Line 14: | Line 14: | ||
[[MODMOS scales]] | [[MODMOS scales]] | ||
== | =Regular Temperaments= | ||
**Basics:** | |||
[[Monzos and Interval Space]] | [[Monzos and Interval Space]] | ||
[[Vals and Tuning Space]] | [[Vals and Tuning Space]] | ||
[[Regular Temperaments]] | |||
[[Saturation]] | |||
**Exterior algebra:** | |||
[[Wedgies and Multivals]] | [[Wedgies and Multivals]] | ||
[[The wedgie]] | [[The wedgie]] | ||
[[The dual]] | |||
[[Interior product]] | [[Interior product]] | ||
[[ | |||
[[ | **Linear algebra:** | ||
[[Mapping matrices]] | |||
[[xenharmonic/Tmonzos and Tvals|Tmonzos and Tvals]] | |||
[[Dual Transformations]] | |||
**Temperament representations:** | |||
[[Abstract regular temperament]] | |||
[[Normal lists]] | [[Normal lists]] | ||
[[ | [[Gencom]] | ||
**Other:** | |||
[[Planar Temperament]] | [[Planar Temperament]] | ||
[[Transversal generators]] | [[Transversal generators]] | ||
==Subgroups== | ==Subgroups== | ||
| Line 35: | Line 45: | ||
[[V-maps and M-maps]] | [[V-maps and M-maps]] | ||
== | ==Temperament Measures and Optimization== | ||
[[Target tunings]] | [[Target tunings]] | ||
[[TOP tuning]] | [[TOP tuning]] | ||
| Line 44: | Line 54: | ||
[[Cangwu badness]] | [[Cangwu badness]] | ||
[[Fractional monzos]] | [[Fractional monzos]] | ||
[[Generator complexity]] | |||
==Lattices and Scales== | ==Lattices and Scales== | ||
[[Transversal]] | |||
[[Minkowski blocks]] | [[Minkowski blocks]] | ||
[[The Seven Limit Symmetrical Lattices]] | [[The Seven Limit Symmetrical Lattices]] | ||
[[Tablets]] | [[Tablets]] | ||
| Line 61: | Line 72: | ||
<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"><html><head><title>Mathematical Theory</title></head><body>Tuning theory can become heavily mathematical, and here are links to some of the pages which wade into deeper waters.<br /> | <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"><html><head><title>Mathematical Theory</title></head><body>Tuning theory can become heavily mathematical, and here are links to some of the pages which wade into deeper waters.<br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><!-- ws:end:WikiTextHeadingRule:0 --> </h2> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><!-- ws:end:WikiTextHeadingRule:0 --> </h2> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt; | <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Scale Basics"></a><!-- ws:end:WikiTextHeadingRule:2 -->Scale Basics</h1> | ||
<a class="wiki_link" href="/Periodic%20scale">Periodic scale</a><br /> | <a class="wiki_link" href="/Periodic%20scale">Periodic scale</a><br /> | ||
<a class="wiki_link" href="/Mathematics%20of%20MOS">MOS scales</a><br /> | <a class="wiki_link" href="/Mathematics%20of%20MOS">MOS scales</a><br /> | ||
| Line 67: | Line 78: | ||
<a class="wiki_link" href="/MODMOS%20scales">MODMOS scales</a><br /> | <a class="wiki_link" href="/MODMOS%20scales">MODMOS scales</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt; | <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Regular Temperaments"></a><!-- ws:end:WikiTextHeadingRule:4 -->Regular Temperaments</h1> | ||
<a class="wiki_link" href="/Monzos%20and%20Interval%20Space">Monzos and Interval Space</a><br /> | <strong>Basics:</strong><br /> | ||
<a class="wiki_link" href="/Monzos%20and%20Interval%20Space">Monzos and Interval Space</a><br /> | |||
<a class="wiki_link" href="/Vals%20and%20Tuning%20Space">Vals and Tuning Space</a><br /> | <a class="wiki_link" href="/Vals%20and%20Tuning%20Space">Vals and Tuning Space</a><br /> | ||
<a class="wiki_link" href="/Regular%20Temperaments">Regular Temperaments</a><br /> | |||
<a class="wiki_link" href="/Saturation">Saturation</a><br /> | |||
<br /> | <br /> | ||
< | <strong>Exterior algebra:</strong><br /> | ||
<a class="wiki_link" href="/Wedgies%20and%20Multivals">Wedgies and Multivals</a><br /> | <a class="wiki_link" href="/Wedgies%20and%20Multivals">Wedgies and Multivals</a><br /> | ||
<a class="wiki_link" href="/The%20wedgie">The wedgie</a><br /> | <a class="wiki_link" href="/The%20wedgie">The wedgie</a><br /> | ||
<a class="wiki_link" href="/The%20dual">The dual</a><br /> | |||
<a class="wiki_link" href="/Interior%20product">Interior product</a><br /> | <a class="wiki_link" href="/Interior%20product">Interior product</a><br /> | ||
<a class="wiki_link" href="/ | <br /> | ||
<a class="wiki_link" href="/ | <strong>Linear algebra:</strong><br /> | ||
<a class="wiki_link" href="/Mapping%20matrices">Mapping matrices</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tmonzos%20and%20Tvals">Tmonzos and Tvals</a><br /> | |||
<a class="wiki_link" href="/Dual%20Transformations">Dual Transformations</a><br /> | |||
<br /> | |||
<strong>Temperament representations:</strong><br /> | |||
<a class="wiki_link" href="/Abstract%20regular%20temperament">Abstract regular temperament</a><br /> | |||
<a class="wiki_link" href="/Normal%20lists">Normal lists</a><br /> | <a class="wiki_link" href="/Normal%20lists">Normal lists</a><br /> | ||
<a class="wiki_link" href="/ | <a class="wiki_link" href="/Gencom">Gencom</a><br /> | ||
<br /> | |||
<strong>Other:</strong><br /> | |||
<a class="wiki_link" href="/Planar%20Temperament">Planar Temperament</a><br /> | <a class="wiki_link" href="/Planar%20Temperament">Planar Temperament</a><br /> | ||
<a class="wiki_link" href="/Transversal%20generators">Transversal generators</a><br /> | <a class="wiki_link" href="/Transversal%20generators">Transversal generators</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Regular Temperaments-Subgroups"></a><!-- ws:end:WikiTextHeadingRule:6 -->Subgroups</h2> | ||
<a class="wiki_link" href="/Smonzos%20and%20Svals">Smonzos and Svals</a><br /> | <a class="wiki_link" href="/Smonzos%20and%20Svals">Smonzos and Svals</a><br /> | ||
<a class="wiki_link" href="/V-maps%20and%20M-maps">V-maps and M-maps</a><br /> | <a class="wiki_link" href="/V-maps%20and%20M-maps">V-maps and M-maps</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Regular Temperaments-Temperament Measures and Optimization"></a><!-- ws:end:WikiTextHeadingRule:8 -->Temperament Measures and Optimization</h2> | ||
<a class="wiki_link" href="/Target%20tunings">Target tunings</a><br /> | <a class="wiki_link" href="/Target%20tunings">Target tunings</a><br /> | ||
<a class="wiki_link" href="/TOP%20tuning">TOP tuning</a><br /> | <a class="wiki_link" href="/TOP%20tuning">TOP tuning</a><br /> | ||
| Line 97: | Line 118: | ||
<a class="wiki_link" href="/Cangwu%20badness">Cangwu badness</a><br /> | <a class="wiki_link" href="/Cangwu%20badness">Cangwu badness</a><br /> | ||
<a class="wiki_link" href="/Fractional%20monzos">Fractional monzos</a><br /> | <a class="wiki_link" href="/Fractional%20monzos">Fractional monzos</a><br /> | ||
<a class="wiki_link" href="/Generator%20complexity">Generator complexity</a><br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Regular Temperaments-Lattices and Scales"></a><!-- ws:end:WikiTextHeadingRule:10 -->Lattices and Scales</h2> | ||
<a class="wiki_link" href="/ | <a class="wiki_link" href="/Transversal">Transversal</a><br /> | ||
<a class="wiki_link" href="/ | <a class="wiki_link" href="/Minkowski%20blocks">Minkowski blocks</a><br /> | ||
<a class="wiki_link" href="/The%20Seven%20Limit%20Symmetrical%20Lattices">The Seven Limit Symmetrical Lattices</a><br /> | <a class="wiki_link" href="/The%20Seven%20Limit%20Symmetrical%20Lattices">The Seven Limit Symmetrical Lattices</a><br /> | ||
<a class="wiki_link" href="/Tablets">Tablets</a><br /> | <a class="wiki_link" href="/Tablets">Tablets</a><br /> | ||
<a class="wiki_link" href="/Hahn%20distance">Hahn distance</a><br /> | <a class="wiki_link" href="/Hahn%20distance">Hahn distance</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Regular Temperaments-Other"></a><!-- ws:end:WikiTextHeadingRule:12 -->Other</h2> | ||
<a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning">The Riemann Zeta Function and Tuning</a><br /> | <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning">The Riemann Zeta Function and Tuning</a><br /> | ||
<a class="wiki_link" href="/Modulatory%20space">Modulatory space</a><br /> | <a class="wiki_link" href="/Modulatory%20space">Modulatory space</a><br /> | ||
Revision as of 03:38, 31 July 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 2012-07-31 03:38:19 UTC.
- The original revision id was 355647886.
- 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:
Tuning theory can become heavily mathematical, and here are links to some of the pages which wade into deeper waters. == == =Scale Basics= [[Periodic scale]] [[Mathematics of MOS|MOS scales]] <span class="PageTitle">[[Mathematics of MOS]]</span> [[MODMOS scales]] =Regular Temperaments= **Basics:** [[Monzos and Interval Space]] [[Vals and Tuning Space]] [[Regular Temperaments]] [[Saturation]] **Exterior algebra:** [[Wedgies and Multivals]] [[The wedgie]] [[The dual]] [[Interior product]] **Linear algebra:** [[Mapping matrices]] [[xenharmonic/Tmonzos and Tvals|Tmonzos and Tvals]] [[Dual Transformations]] **Temperament representations:** [[Abstract regular temperament]] [[Normal lists]] [[Gencom]] **Other:** [[Planar Temperament]] [[Transversal generators]] ==Subgroups== [[Smonzos and Svals]] [[V-maps and M-maps]] ==Temperament Measures and Optimization== [[Target tunings]] [[TOP tuning]] [[Lp tuning]] [[Tenney-Euclidean tuning]] [[Tenney-Euclidean temperament measures]] [[Tenney-Euclidean metrics]] [[Cangwu badness]] [[Fractional monzos]] [[Generator complexity]] ==Lattices and Scales== [[Transversal]] [[Minkowski blocks]] [[The Seven Limit Symmetrical Lattices]] [[Tablets]] [[Hahn distance]] ==Other== [[The Riemann Zeta Function and Tuning]] [[Modulatory space]] [[Chordal space]] [[k*N subgroups]] [[Don Page comma]]
Original HTML content:
<html><head><title>Mathematical Theory</title></head><body>Tuning theory can become heavily mathematical, and here are links to some of the pages which wade into deeper waters.<br /> <!-- ws:start:WikiTextHeadingRule:0:<h2> --><h2 id="toc0"><!-- ws:end:WikiTextHeadingRule:0 --> </h2> <!-- ws:start:WikiTextHeadingRule:2:<h1> --><h1 id="toc1"><a name="Scale Basics"></a><!-- ws:end:WikiTextHeadingRule:2 -->Scale Basics</h1> <a class="wiki_link" href="/Periodic%20scale">Periodic scale</a><br /> <a class="wiki_link" href="/Mathematics%20of%20MOS">MOS scales</a><br /> <span class="PageTitle"><a class="wiki_link" href="/Mathematics%20of%20MOS">Mathematics of MOS</a></span><br /> <a class="wiki_link" href="/MODMOS%20scales">MODMOS scales</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h1> --><h1 id="toc2"><a name="Regular Temperaments"></a><!-- ws:end:WikiTextHeadingRule:4 -->Regular Temperaments</h1> <strong>Basics:</strong><br /> <a class="wiki_link" href="/Monzos%20and%20Interval%20Space">Monzos and Interval Space</a><br /> <a class="wiki_link" href="/Vals%20and%20Tuning%20Space">Vals and Tuning Space</a><br /> <a class="wiki_link" href="/Regular%20Temperaments">Regular Temperaments</a><br /> <a class="wiki_link" href="/Saturation">Saturation</a><br /> <br /> <strong>Exterior algebra:</strong><br /> <a class="wiki_link" href="/Wedgies%20and%20Multivals">Wedgies and Multivals</a><br /> <a class="wiki_link" href="/The%20wedgie">The wedgie</a><br /> <a class="wiki_link" href="/The%20dual">The dual</a><br /> <a class="wiki_link" href="/Interior%20product">Interior product</a><br /> <br /> <strong>Linear algebra:</strong><br /> <a class="wiki_link" href="/Mapping%20matrices">Mapping matrices</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tmonzos%20and%20Tvals">Tmonzos and Tvals</a><br /> <a class="wiki_link" href="/Dual%20Transformations">Dual Transformations</a><br /> <br /> <strong>Temperament representations:</strong><br /> <a class="wiki_link" href="/Abstract%20regular%20temperament">Abstract regular temperament</a><br /> <a class="wiki_link" href="/Normal%20lists">Normal lists</a><br /> <a class="wiki_link" href="/Gencom">Gencom</a><br /> <br /> <strong>Other:</strong><br /> <a class="wiki_link" href="/Planar%20Temperament">Planar Temperament</a><br /> <a class="wiki_link" href="/Transversal%20generators">Transversal generators</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h2> --><h2 id="toc3"><a name="Regular Temperaments-Subgroups"></a><!-- ws:end:WikiTextHeadingRule:6 -->Subgroups</h2> <a class="wiki_link" href="/Smonzos%20and%20Svals">Smonzos and Svals</a><br /> <a class="wiki_link" href="/V-maps%20and%20M-maps">V-maps and M-maps</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h2> --><h2 id="toc4"><a name="Regular Temperaments-Temperament Measures and Optimization"></a><!-- ws:end:WikiTextHeadingRule:8 -->Temperament Measures and Optimization</h2> <a class="wiki_link" href="/Target%20tunings">Target tunings</a><br /> <a class="wiki_link" href="/TOP%20tuning">TOP tuning</a><br /> <a class="wiki_link" href="/Lp%20tuning">Lp tuning</a><br /> <a class="wiki_link" href="/Tenney-Euclidean%20tuning">Tenney-Euclidean tuning</a><br /> <a class="wiki_link" href="/Tenney-Euclidean%20temperament%20measures">Tenney-Euclidean temperament measures</a><br /> <a class="wiki_link" href="/Tenney-Euclidean%20metrics">Tenney-Euclidean metrics</a><br /> <a class="wiki_link" href="/Cangwu%20badness">Cangwu badness</a><br /> <a class="wiki_link" href="/Fractional%20monzos">Fractional monzos</a><br /> <a class="wiki_link" href="/Generator%20complexity">Generator complexity</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:10:<h2> --><h2 id="toc5"><a name="Regular Temperaments-Lattices and Scales"></a><!-- ws:end:WikiTextHeadingRule:10 -->Lattices and Scales</h2> <a class="wiki_link" href="/Transversal">Transversal</a><br /> <a class="wiki_link" href="/Minkowski%20blocks">Minkowski blocks</a><br /> <a class="wiki_link" href="/The%20Seven%20Limit%20Symmetrical%20Lattices">The Seven Limit Symmetrical Lattices</a><br /> <a class="wiki_link" href="/Tablets">Tablets</a><br /> <a class="wiki_link" href="/Hahn%20distance">Hahn distance</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:12:<h2> --><h2 id="toc6"><a name="Regular Temperaments-Other"></a><!-- ws:end:WikiTextHeadingRule:12 -->Other</h2> <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning">The Riemann Zeta Function and Tuning</a><br /> <a class="wiki_link" href="/Modulatory%20space">Modulatory space</a><br /> <a class="wiki_link" href="/Chordal%20space">Chordal space</a><br /> <a class="wiki_link" href="/k%2AN%20subgroups">k*N subgroups</a><br /> <a class="wiki_link" href="/Don%20Page%20comma">Don Page comma</a></body></html>