Heptatonic notation: Difference between revisions
Wikispaces>jake.huryn **Imported revision 612766657 - Original comment: ** |
Wikispaces>jake.huryn **Imported revision 612772553 - 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:jake.huryn|jake.huryn]] and made on <tt>2017-05- | : This revision was by author [[User:jake.huryn|jake.huryn]] and made on <tt>2017-05-13 00:11:58 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>612772553</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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext content:</h4> | ||
<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">=Purpose and Principles= | <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">=Purpose and Principles= | ||
I developed heptatonic notation in order to notate my microtonal music, which is written in a number of different [[edo|edos]]. A number of principles were followed in the development this notation system. | I developed heptatonic notation in order to notate my microtonal music, which is written in a number of different [[edo|edos]]. A number of principles were followed in the development this notation system. | ||
* It should be nearly consistent with standard modern music notation. | * It should be nearly consistent with standard modern music notation. | ||
* It should be consistent between different edos. | * It should be consistent between different edos. | ||
* It should be as non-arbitrary as possible. | * It should be as non-arbitrary as possible. | ||
From these principles I decided that it should be based on [[Nominal-Accidental Chains|nominal-accidental chains]], with seven nominals to an octave. In addition, accidentals should both be based on those of standard notation | From these principles I decided that it should be based on [[Nominal-Accidental Chains|nominal-accidental chains]], with seven nominals to an octave. In addition, accidentals should both be based on those of standard notation and give an approximation of their displacement size. From these principles is derived the fundamental rule behind this notation system: | ||
* For each edo, nominals are assigned to the first mode of the [[Maximal evenness|maximally even]] heptatonic [[MOSScales|MOS]]. | * For each edo, nominals are assigned to the first mode of the [[Maximal evenness|maximally even]] heptatonic [[MOSScales|MOS]]. | ||
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=Accidentals= | =Accidentals= | ||
For edos 7(n-1)+1 to 7n, the large step is n edo-intervals, so n-1 unique accidentals of each class (flat or sharp) are required, plus a natural accidental. This ensures that the maximum or minimum accidentals always modify a nominal to a neighboring | For edos 7(n-1)+1 to 7n, the large step is n edo-intervals, so n-1 unique accidentals of each class (flat or sharp) are required, plus a natural accidental. This ensures that the maximum or minimum accidentals always modify a nominal to a neighboring nominal, as in the double-flats and double-sharps of standard notation. | ||
(To be continued.)</pre></div> | (To be continued.) | ||
=Scores and score-videos= | |||
[[@https://www.youtube.com/watch?v=jagxI__W-Mg|Palinkalin Viharo (Flowers in the Mist)]] by Jake Huryn ([[@https://drive.google.com/file/d/0BwJHTddN0-rdUFdwMEtfYnFJZ0E/view|Score]]): 22edo</pre></div> | |||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<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>Heptatonic Notation</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Purpose and Principles"></a><!-- ws:end:WikiTextHeadingRule:0 -->Purpose and Principles</h1> | <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>Heptatonic Notation</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Purpose and Principles"></a><!-- ws:end:WikiTextHeadingRule:0 -->Purpose and Principles</h1> | ||
I developed heptatonic notation in order to notate my microtonal music, which is written in a number of different <a class="wiki_link" href="/edo">edos</a>. A number of principles were followed in the development this notation system. <br /> | I developed heptatonic notation in order to notate my microtonal music, which is written in a number of different <a class="wiki_link" href="/edo">edos</a>. A number of principles were followed in the development this notation system.<br /> | ||
<ul><li>It should be nearly consistent with standard modern music notation.</li><li>It should be consistent between different edos.</li><li>It should be as non-arbitrary as possible.</li></ul><br /> | <ul><li>It should be nearly consistent with standard modern music notation.</li><li>It should be consistent between different edos.</li><li>It should be as non-arbitrary as possible.</li></ul><br /> | ||
From these principles I decided that it should be based on <a class="wiki_link" href="/Nominal-Accidental%20Chains">nominal-accidental chains</a>, with seven nominals to an octave. In addition, accidentals should both be based on those of standard notation | From these principles I decided that it should be based on <a class="wiki_link" href="/Nominal-Accidental%20Chains">nominal-accidental chains</a>, with seven nominals to an octave. In addition, accidentals should both be based on those of standard notation and give an approximation of their displacement size. From these principles is derived the fundamental rule behind this notation system:<br /> | ||
<ul><li>For each edo, nominals are assigned to the first mode of the <a class="wiki_link" href="/Maximal%20evenness">maximally even</a> heptatonic <a class="wiki_link" href="/MOSScales">MOS</a>.</li></ul><br /> | <ul><li>For each edo, nominals are assigned to the first mode of the <a class="wiki_link" href="/Maximal%20evenness">maximally even</a> heptatonic <a class="wiki_link" href="/MOSScales">MOS</a>.</li></ul><br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Nominals for Different Edos"></a><!-- ws:end:WikiTextHeadingRule:2 -->Nominals for Different Edos</h1> | <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Nominals for Different Edos"></a><!-- ws:end:WikiTextHeadingRule:2 -->Nominals for Different Edos</h1> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Accidentals"></a><!-- ws:end:WikiTextHeadingRule:4 -->Accidentals</h1> | <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Accidentals"></a><!-- ws:end:WikiTextHeadingRule:4 -->Accidentals</h1> | ||
For edos 7(n-1)+1 to 7n, the large step is n edo-intervals, so n-1 unique accidentals of each class (flat or sharp) are required, plus a natural accidental. This ensures that the maximum or minimum accidentals always modify a nominal to a neighboring | For edos 7(n-1)+1 to 7n, the large step is n edo-intervals, so n-1 unique accidentals of each class (flat or sharp) are required, plus a natural accidental. This ensures that the maximum or minimum accidentals always modify a nominal to a neighboring nominal, as in the double-flats and double-sharps of standard notation.<br /> | ||
<br /> | |||
(To be continued.)<br /> | |||
<br /> | <br /> | ||
( | <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Scores and score-videos"></a><!-- ws:end:WikiTextHeadingRule:6 -->Scores and score-videos</h1> | ||
<a class="wiki_link_ext" href="https://www.youtube.com/watch?v=jagxI__W-Mg" rel="nofollow" target="_blank">Palinkalin Viharo (Flowers in the Mist)</a> by Jake Huryn (<a class="wiki_link_ext" href="https://drive.google.com/file/d/0BwJHTddN0-rdUFdwMEtfYnFJZ0E/view" rel="nofollow" target="_blank">Score</a>): 22edo</body></html></pre></div> | |||