Basic introduction to xenharmonic music: Difference between revisions
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Wikispaces>keenanpepper **Imported revision 336718412 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 336752194 - 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: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-05-17 15:02:49 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>336752194</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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* The circle/chain of fifths, "G# and Ab can be different", with historical info | * The circle/chain of fifths, "G# and Ab can be different", with historical info | ||
* Different circle-of-fifths EDOs and their different enharmonic equivalences (with 19edo as the obvious example to focus on, but also 17edo) | * Different circle-of-fifths EDOs and their different enharmonic equivalences (with 19edo as the obvious example to focus on, but also 17edo) | ||
* Circles of other intervals, such as minor thirds? | |||
---- | ---- | ||
* Frequency, ratios, cents, Hz, the harmonic series (just briefly mentioning logarithms and saying what the practical implications are - this is not for mathematicians!) | * Frequency, ratios, cents, Hz, the harmonic series (just briefly mentioning logarithms and saying what the practical implications are - this is not for mathematicians!) | ||
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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;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Basic introduction to xenharmonic music</title></head><body>Just a rough draft. <a class="wiki_link" href="/Mike%20Battaglia">Mike Battaglia</a> and <a class="wiki_link" href="/Keenan%20Pepper">Keenan Pepper</a> are writing it but suggested improvements are more than welcome. Will be TeXed up later into a document intended for very wide distribution.<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>Basic introduction to xenharmonic music</title></head><body>Just a rough draft. <a class="wiki_link" href="/Mike%20Battaglia">Mike Battaglia</a> and <a class="wiki_link" href="/Keenan%20Pepper">Keenan Pepper</a> are writing it but suggested improvements are more than welcome. Will be TeXed up later into a document intended for very wide distribution.<br /> | ||
Things to cover:<br /> | Things to cover:<br /> | ||
<ul><li>What 12edo actually is (must drive home the point that there are 12 notes per octave, not, say, 8, as some people would say if you asked them)</li><li>The circle/chain of fifths, &quot;G# and Ab can be different&quot;, with historical info</li><li>Different circle-of-fifths EDOs and their different enharmonic equivalences (with 19edo as the obvious example to focus on, but also 17edo)</li></ul><hr /> | <ul><li>What 12edo actually is (must drive home the point that there are 12 notes per octave, not, say, 8, as some people would say if you asked them)</li><li>The circle/chain of fifths, &quot;G# and Ab can be different&quot;, with historical info</li><li>Different circle-of-fifths EDOs and their different enharmonic equivalences (with 19edo as the obvious example to focus on, but also 17edo)</li><li>Circles of other intervals, such as minor thirds?</li></ul><hr /> | ||
<ul><li>Frequency, ratios, cents, Hz, the harmonic series (just briefly mentioning logarithms and saying what the practical implications are - this is not for mathematicians!)</li><li>Approximate relationships between 12edo and JI - the fact that each interval represents *many* JI ratios (important because a lot of sources give exactly one JI ratio per 12edo interval which is very misleading)</li><li>JI lattices (VERY BRIEFLY)</li><li>Commas, the syntonic comma, puns, comma pumps</li><li>How meantone temperament works</li><li>MOS series (never mentioning continued fractions except maybe in a footnote)</li><li>Finally, non-meantone rank-2 temperaments (this should be the pinnacle of the document, for which everything else is a required prerequisite) Porcupine is a good example that everybody loves. Could perhaps also introduce pajara as a non-octave-period rank-2 temperament.</li></ul></body></html></pre></div> | <ul><li>Frequency, ratios, cents, Hz, the harmonic series (just briefly mentioning logarithms and saying what the practical implications are - this is not for mathematicians!)</li><li>Approximate relationships between 12edo and JI - the fact that each interval represents *many* JI ratios (important because a lot of sources give exactly one JI ratio per 12edo interval which is very misleading)</li><li>JI lattices (VERY BRIEFLY)</li><li>Commas, the syntonic comma, puns, comma pumps</li><li>How meantone temperament works</li><li>MOS series (never mentioning continued fractions except maybe in a footnote)</li><li>Finally, non-meantone rank-2 temperaments (this should be the pinnacle of the document, for which everything else is a required prerequisite) Porcupine is a good example that everybody loves. Could perhaps also introduce pajara as a non-octave-period rank-2 temperament.</li></ul></body></html></pre></div> | ||
Revision as of 15:02, 17 May 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 2012-05-17 15:02:49 UTC.
- The original revision id was 336752194.
- 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:
Just a rough draft. [[Mike Battaglia]] and [[Keenan Pepper]] are writing it but suggested improvements are more than welcome. Will be TeXed up later into a document intended for very wide distribution. Things to cover: * What 12edo actually is (must drive home the point that there are 12 notes per octave, not, say, 8, as some people would say if you asked them) * The circle/chain of fifths, "G# and Ab can be different", with historical info * Different circle-of-fifths EDOs and their different enharmonic equivalences (with 19edo as the obvious example to focus on, but also 17edo) * Circles of other intervals, such as minor thirds? ---- * Frequency, ratios, cents, Hz, the harmonic series (just briefly mentioning logarithms and saying what the practical implications are - this is not for mathematicians!) * Approximate relationships between 12edo and JI - the fact that each interval represents *many* JI ratios (important because a lot of sources give exactly one JI ratio per 12edo interval which is very misleading) * JI lattices (VERY BRIEFLY) * Commas, the syntonic comma, puns, comma pumps * How meantone temperament works * MOS series (never mentioning continued fractions except maybe in a footnote) * Finally, non-meantone rank-2 temperaments (this should be the pinnacle of the document, for which everything else is a required prerequisite) Porcupine is a good example that everybody loves. Could perhaps also introduce pajara as a non-octave-period rank-2 temperament.
Original HTML content:
<html><head><title>Basic introduction to xenharmonic music</title></head><body>Just a rough draft. <a class="wiki_link" href="/Mike%20Battaglia">Mike Battaglia</a> and <a class="wiki_link" href="/Keenan%20Pepper">Keenan Pepper</a> are writing it but suggested improvements are more than welcome. Will be TeXed up later into a document intended for very wide distribution.<br /> Things to cover:<br /> <ul><li>What 12edo actually is (must drive home the point that there are 12 notes per octave, not, say, 8, as some people would say if you asked them)</li><li>The circle/chain of fifths, "G# and Ab can be different", with historical info</li><li>Different circle-of-fifths EDOs and their different enharmonic equivalences (with 19edo as the obvious example to focus on, but also 17edo)</li><li>Circles of other intervals, such as minor thirds?</li></ul><hr /> <ul><li>Frequency, ratios, cents, Hz, the harmonic series (just briefly mentioning logarithms and saying what the practical implications are - this is not for mathematicians!)</li><li>Approximate relationships between 12edo and JI - the fact that each interval represents *many* JI ratios (important because a lot of sources give exactly one JI ratio per 12edo interval which is very misleading)</li><li>JI lattices (VERY BRIEFLY)</li><li>Commas, the syntonic comma, puns, comma pumps</li><li>How meantone temperament works</li><li>MOS series (never mentioning continued fractions except maybe in a footnote)</li><li>Finally, non-meantone rank-2 temperaments (this should be the pinnacle of the document, for which everything else is a required prerequisite) Porcupine is a good example that everybody loves. Could perhaps also introduce pajara as a non-octave-period rank-2 temperament.</li></ul></body></html>