Introductory examples in Sagittal notation: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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 14~~:07:29 UTC</tt>.<br>

: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2015-08-23 11:32:16 UTC</tt>.<br>

: The original revision id was <tt>~~557171533~~</tt>.<br>

: The original revision id was <tt>557204745</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>

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Another property of 22edo is that the undecimal comma is approximated by one step as well . i.e. undecimal and syntonic comma are the same in 22edo, which makes one of the symbols unnecessary again. Overall, only an additional symbol is used for the notation of 22edo needed (or, more precisely, two - one up and one down), which represents a modification by one 22edo step. The syntonic comma symbol has been defined as the recommended standard symbol for 22edo.

Finally, [[31edo]] (last example) is like 12edo a meantone system and thus tempers out the syntonic comma - but not the septimal comma, exactly opposite to 22edo in this aspect. The septimal comma, in turn coincides with the undecimal comma here - both are approximated by one 31edo step.

Finally, [[31edo]] (last example) is like 12edo a meantone system and thus tempers out the syntonic comma - but not the septimal comma, exactly opposite to 22edo in this aspect. The septimal comma, in turn coincides with the undecimal comma here - both are approximated by one 31edo step. The recommended standard symbol for this interval in 31edo is the symbol for the undecimal comma (quartertone), so the tetrad in question could be notated with a quartertone symbol at the Bb. In our example, the enharmonic equivalent A# is used instead, which is possible because 31edo is a [[Meantone family#Septimal%20meantone|septimal meantone]] system.

[~~todo~~]

=Equal temperaments (2): an 11edo scale=

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Another property of 22edo is that the undecimal comma is approximated by one step as well . i.e. undecimal and syntonic comma are the same in 22edo, which makes one of the symbols unnecessary again. Overall, only an additional symbol is used for the notation of 22edo needed (or, more precisely, two - one up and one down), which represents a modification by one 22edo step. The syntonic comma symbol has been defined as the recommended standard symbol for 22edo.<br />

<br />

Finally, <a class="wiki_link" href="/31edo">31edo</a> (last example) is like 12edo a meantone system and thus tempers out the syntonic comma - but not the septimal comma, exactly opposite to 22edo in this aspect. The septimal comma, in turn coincides with the undecimal comma here - both are approximated by one 31edo step.<br />

Finally, <a class="wiki_link" href="/31edo">31edo</a> (last example) is like 12edo a meantone system and thus tempers out the syntonic comma - but not the septimal comma, exactly opposite to 22edo in this aspect. The septimal comma, in turn coincides with the undecimal comma here - both are approximated by one 31edo step. The recommended standard symbol for this interval in 31edo is the symbol for the undecimal comma (quartertone), so the tetrad in question could be notated with a quartertone symbol at the Bb. In our example, the enharmonic equivalent A# is used instead, which is possible because 31edo is a <a class="wiki_link" href="/Meantone%20family#Septimal%20meantone">septimal meantone</a> system.<br />

<br />

~~[todo]~~<br />

<br />

<h1 id="toc2"><a name="Equal temperaments (2): an 11edo scale"></a>Equal temperaments (2): an 11edo scale</h1>

[todo]</body></html></pre></div>

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 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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 14:07:29 UTC</tt>.<br>
+: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2015-08-23 11:32:16 UTC</tt>.<br>
-: The original revision id was <tt>557171533</tt>.<br>
+: The original revision id was <tt>557204745</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>
@@ Line 37: / Line 37: @@
 Another property of 22edo is that the undecimal comma is approximated by one step as well . i.e. undecimal and syntonic comma are the same in 22edo, which makes one of the symbols unnecessary again. Overall, only an additional symbol is used for the notation of 22edo needed (or, more precisely, two - one up and one down), which represents a modification by one 22edo step. The syntonic comma symbol has been defined as the recommended standard symbol for 22edo.
-Finally, [[31edo]] (last example) is like 12edo a meantone system and thus tempers out the syntonic comma - but not the septimal comma, exactly opposite to 22edo in this aspect. The septimal comma, in turn coincides with the undecimal comma here - both are approximated by one 31edo step.
+Finally, [[31edo]] (last example) is like 12edo a meantone system and thus tempers out the syntonic comma - but not the septimal comma, exactly opposite to 22edo in this aspect. The septimal comma, in turn coincides with the undecimal comma here - both are approximated by one 31edo step. The recommended standard symbol for this interval in 31edo is the symbol for the undecimal comma (quartertone), so the tetrad in question could be notated with a quartertone symbol at the Bb. In our example, the enharmonic equivalent A# is used instead, which is possible because 31edo is a [[Meantone family#Septimal%20meantone|septimal meantone]] system.
-[todo]
 =Equal temperaments (2): an 11edo scale=
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 Another property of 22edo is that the undecimal comma is approximated by one step as well . i.e. undecimal and syntonic comma are the same in 22edo, which makes one of the symbols unnecessary again. Overall, only an additional symbol is used for the notation of 22edo needed (or, more precisely, two - one up and one down), which represents a modification by one 22edo step. The syntonic comma symbol has been defined as the recommended standard symbol for 22edo.&lt;br /&gt;
 &lt;br /&gt;
-Finally, &lt;a class="wiki_link" href="/31edo"&gt;31edo&lt;/a&gt; (last example) is like 12edo a meantone system and thus tempers out the syntonic comma - but not the septimal comma, exactly opposite to 22edo in this aspect. The septimal comma, in turn coincides with the undecimal comma here - both are approximated by one 31edo step.&lt;br /&gt;
+Finally, &lt;a class="wiki_link" href="/31edo"&gt;31edo&lt;/a&gt; (last example) is like 12edo a meantone system and thus tempers out the syntonic comma - but not the septimal comma, exactly opposite to 22edo in this aspect. The septimal comma, in turn coincides with the undecimal comma here - both are approximated by one 31edo step. The recommended standard symbol for this interval in 31edo is the symbol for the undecimal comma (quartertone), so the tetrad in question could be notated with a quartertone symbol at the Bb. In our example, the enharmonic equivalent A# is used instead, which is possible because 31edo is a &lt;a class="wiki_link" href="/Meantone%20family#Septimal%20meantone"&gt;septimal meantone&lt;/a&gt; system.&lt;br /&gt;
-&lt;br /&gt;
-[todo]&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Equal temperaments (2): an 11edo scale"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Equal temperaments (2): an 11edo scale&lt;/h1&gt;
   [todo]&lt;/body&gt;&lt;/html&gt;</pre></div>