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Introductory examples in Sagittal notation: Difference between revisions

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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:hstraub|hstraub]] and made on <tt>2015-08-22 10:39:31 UTC</tt>.<br>
: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2015-08-22 10:40:23 UTC</tt>.<br>
: The original revision id was <tt>557164211</tt>.<br>
: The original revision id was <tt>557164235</tt>.<br>
: The revision comment was: <tt></tt><br>
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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">[[toc]]
<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">[[toc]]
This page lists a few elementary examples that hopefully shed some light on the philosophy (and the pitfalls!) of [[Sagittal notation]]. For a detailed introduction into Sagittal notation the document [[file:Sagittal.pdf|Sagittal.pdf]] is the reference.
This page lists a few elementary examples that hopefully shed some light on the philosophy (and the pitfalls!) of [[Sagittal notation]]. For a detailed introduction into Sagittal notation the document [[file:Sagittal.pdf|Sagittal.pdf]] is the reference.


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The second example shows the best approximation for the same chord in [[12edo]]. Here, both the syntonic as the septimal comma are tempered out, so none of the additional symbols is necessary. The best approximation of the otonal tetrad is the same as the best approximation for a Pythagorean dominant seventh chord and can be written the same way. We see that Sagittal notation, when used for the western standard tuning, is identical to conventioal notation.
The second example shows the best approximation for the same chord in [[12edo]]. Here, both the syntonic as the septimal comma are tempered out, so none of the additional symbols is necessary. The best approximation of the otonal tetrad is the same as the best approximation for a Pythagorean dominant seventh chord and can be written the same way. We see that Sagittal notation, when used for the western standard tuning, is identical to conventioal notation.


In [[22edo]] (third example), however, the septimal comma is tempered out, but not the syntonic comma. Therefore the symbol at the Bb note can be omitted, but the symbol at the E note must stay.
In [[22edo]] (third example), the septimal comma is tempered out, but not the syntonic comma. Therefore the symbol at the Bb note can be omitted, but the symbol at the E note has to stay.


[todo]
[todo]
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&lt;!-- ws:end:WikiTextTocRule:8 --&gt;&lt;!-- ws:start:WikiTextTocRule:9: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Equal temperaments (2): an 11edo scale"&gt;Equal temperaments (2): an 11edo scale&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:8 --&gt;&lt;!-- ws:start:WikiTextTocRule:9: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Equal temperaments (2): an 11edo scale"&gt;Equal temperaments (2): an 11edo scale&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:9 --&gt;&lt;!-- ws:start:WikiTextTocRule:10: --&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:9 --&gt;&lt;!-- ws:start:WikiTextTocRule:10: --&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:10 --&gt;&lt;br /&gt;
&lt;!-- ws:end:WikiTextTocRule:10 --&gt;This page lists a few elementary examples that hopefully shed some light on the philosophy (and the pitfalls!) of &lt;a class="wiki_link" href="/Sagittal%20notation"&gt;Sagittal notation&lt;/a&gt;. For a detailed introduction into Sagittal notation the document &lt;a href="/file/view/Sagittal.pdf/243193787/Sagittal.pdf" onclick="ws.common.trackFileLink('/file/view/Sagittal.pdf/243193787/Sagittal.pdf');"&gt;Sagittal.pdf&lt;/a&gt; is the reference.&lt;br /&gt;
This page lists a few elementary examples that hopefully shed some light on the philosophy (and the pitfalls!) of &lt;a class="wiki_link" href="/Sagittal%20notation"&gt;Sagittal notation&lt;/a&gt;. For a detailed introduction into Sagittal notation the document &lt;a href="/file/view/Sagittal.pdf/243193787/Sagittal.pdf" onclick="ws.common.trackFileLink('/file/view/Sagittal.pdf/243193787/Sagittal.pdf');"&gt;Sagittal.pdf&lt;/a&gt; is the reference.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Just intonation: notating an overtone scale"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Just intonation: notating an overtone scale&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Just intonation: notating an overtone scale"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Just intonation: notating an overtone scale&lt;/h1&gt;
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The second example shows the best approximation for the same chord in &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt;. Here, both the syntonic as the septimal comma are tempered out, so none of the additional symbols is necessary. The best approximation of the otonal tetrad is the same as the best approximation for a Pythagorean dominant seventh chord and can be written the same way. We see that Sagittal notation, when used for the western standard tuning, is identical to conventioal notation.&lt;br /&gt;
The second example shows the best approximation for the same chord in &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt;. Here, both the syntonic as the septimal comma are tempered out, so none of the additional symbols is necessary. The best approximation of the otonal tetrad is the same as the best approximation for a Pythagorean dominant seventh chord and can be written the same way. We see that Sagittal notation, when used for the western standard tuning, is identical to conventioal notation.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt; (third example), however, the septimal comma is tempered out, but not the syntonic comma. Therefore the symbol at the Bb note can be omitted, but the symbol at the E note must stay.&lt;br /&gt;
In &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt; (third example), the septimal comma is tempered out, but not the syntonic comma. Therefore the symbol at the Bb note can be omitted, but the symbol at the E note has to stay.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[todo]&lt;br /&gt;
[todo]&lt;br /&gt;
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