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Magic22 as srutis: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
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This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
= Magic[22] as srutis =
: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2008-03-12 08:06:07 UTC</tt>.<br>
: The original revision id was <tt>19229483</tt>.<br>
: The revision comment was: <tt>Anchors</tt><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>
<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|flat]]


 
:''<tt>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_63593.html#63593 Original article] by [[Gene Ward Smith]], on the Yahoo tuning forum, is quoted here.</tt>''
= =
----
=Magic[22] as srutis[[#magic22assrutis]]=
= =
 
[[http://launch.groups.yahoo.com/group/tuning/message/63593|Original article]] by Gene Ward Smith, on the Yahoo tuning forum, is quoted here.


What srutis are seems to be fairly flexible. However, reasonably authentic conditions to impose are the following:
What srutis are seems to be fairly flexible. However, reasonably authentic conditions to impose are the following:


(1) It should contain the Sa-grama, 9/8-5/4-4/3-3/2-27/16-15/8-2
(1) It should contain the Sa-grama, 9/8—5/4—4/3—3/2—27/16—15/8—2.


(2) It should give the major whole tone, 9/8, four srutis, 10/9 three srutis, and 16/15 two srutis, hence giving the octave 22 srutis.
(2) It should give the major whole tone, 9/8, four srutis, 10/9 three srutis, and 16/15 two srutis, hence giving the octave 22 srutis.


(3) 9/8, 10/9 and 16/15 are each always of the same size, and distinguished, with 9/8&gt;10/9&gt;16/15.
(3) 9/8, 10/9 and 16/15 are each always of the same size, and distinguished, with 9/8 &gt; 10/9 &gt; 16/15.


Many scales fulfill these conditions, and one of the most interesting, I think, is Magic[22], the 22-note MOS of the [[Regular Temperaments#magic|magic temperament]]. Using the generator of 13 steps of [[41edo|41-et]], if we take the strutis for 10/9 to always be 222, and the srutis for 16/15 to always be 22, we are left to give three steps of size 2, and one of size 1, for the srutis given to 9/8. If we vary the pattern of doing this we can get Magic[22]:
Many scales fulfill these conditions, and one of the most interesting, I think, is Magic[22], the 22-note MOS of the [[Magic|magic temperament]]. Using the generator of 13 steps of [[41edo|41-et]], if we take the shrutis for 10/9 to always be 222, and the srutis for 16/15 to always be 22, we are left to give three steps of size 2, and one of size 1, for the srutis given to 9/8. If we vary the pattern of doing this we can get Magic[22]:


1-(2212)-9/8-(222)-5/4-(22)-4/3-(1222)-3/2-(2221)-27/16-(222)-15/8-(22)-2
1—(2212)—9/8—(222)—5/4—(22)—4/3—(1222)—3/2—(2221)—27/16—(222)—15/8—(22)—2


Here the numbers in parethesis are the scale step patters between one note of Sa-grama and the next.
Here the numbers in parethesis are the scale step patters between one note of Sa-grama and the next.


----
-----
=Shrutar[22] as srutis[[#shrutar22assrutis]]=
 
=Shrutar[22] as srutis=
 
''<tt>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_63594.html Original article] by Gene Ward Smith, on the Yahoo tuning forum, is quoted here.</tt>''
 
Magic is the 22&amp;41 temperament; we can also concoct srutis out of [[Diaschismic family#Shrutar|shrutar]], the 22&amp;46 temperament. We now make each 9/8 a 2222 in [[46edo|46et]], and each 16/15 a 22. This leaves two 2 steps and a 3 step for 10/9, where we can vary the pattern. This time we make it


[[http://launch.groups.yahoo.com/group/tuning/message/63594|Original article]] by Gene Ward Smith, on the Yahoo tuning forum, is quoted here.
1—(2222)—9/8—(322)—5/4—(22)—4/3—(2222)—3/2—(2222)—27/16—(223)—15/8—(22)—2


Magic is the 22&amp;41 temperament; we can also concoct srutis out of shrutar, the 22&amp;46 temperament. We now make each 9/8 a 2222 in [[46edo|46et]], and each 16/15 a 22. This leaves two 2 steps and a 3 step for 10/9, where we can vary the pattern. This time we make it
This gives Shrutar[22].


1-(2222)-9/8-(322)-5/4-(22)-4/3-(2222)-3/2-(2222)-27/16-(223)-15/8-(22)-2
[[Category:Magic]]
[[Category:22-tone scales]]
[[Category:Indian music]]


This gives Shrutar[22].</pre></div>
{{Todo| cleanup }}
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Magic22 as srutis&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:8:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:8 --&gt;&lt;!-- ws:start:WikiTextTocRule:9: --&gt;&lt;a href="#toc0"&gt; &lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:9 --&gt;&lt;!-- ws:start:WikiTextTocRule:10: --&gt; | &lt;a href="#Magic[22] as srutis"&gt;Magic[22] as srutis&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:10 --&gt;&lt;!-- ws:start:WikiTextTocRule:11: --&gt; | &lt;a href="#toc2"&gt; &lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:11 --&gt;&lt;!-- ws:start:WikiTextTocRule:12: --&gt; | &lt;a href="#Shrutar[22] as srutis"&gt;Shrutar[22] as srutis&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:12 --&gt;&lt;!-- ws:start:WikiTextTocRule:13: --&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Magic[22] as srutis"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Magic[22] as srutis&lt;!-- ws:start:WikiTextAnchorRule:14:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@magic22assrutis&amp;quot; title=&amp;quot;Anchor: magic22assrutis&amp;quot;/&amp;gt; --&gt;&lt;a name="magic22assrutis"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:14 --&gt;&lt;/h1&gt;
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&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/63593" rel="nofollow"&gt;Original article&lt;/a&gt; by Gene Ward Smith, on the Yahoo tuning forum, is quoted here.&lt;br /&gt;
&lt;br /&gt;
What srutis are seems to be fairly flexible. However, reasonably authentic conditions to impose are the following:&lt;br /&gt;
&lt;br /&gt;
(1) It should contain the Sa-grama, 9/8-5/4-4/3-3/2-27/16-15/8-2&lt;br /&gt;
&lt;br /&gt;
(2) It should give the major whole tone, 9/8, four srutis, 10/9 three srutis, and 16/15 two srutis, hence giving the octave 22 srutis.&lt;br /&gt;
&lt;br /&gt;
(3) 9/8, 10/9 and 16/15 are each always of the same size, and distinguished, with 9/8&amp;gt;10/9&amp;gt;16/15.&lt;br /&gt;
&lt;br /&gt;
Many scales fulfill these conditions, and one of the most interesting, I think, is Magic[22], the 22-note MOS of the &lt;a class="wiki_link" href="/Regular%20Temperaments#magic"&gt;magic temperament&lt;/a&gt;. Using the generator of 13 steps of &lt;a class="wiki_link" href="/41edo"&gt;41-et&lt;/a&gt;, if we take the strutis for 10/9 to always be 222, and the srutis for 16/15 to always be 22, we are left to give three steps of size 2, and one of size 1, for the srutis given to 9/8. If we vary the pattern of doing this we can get Magic[22]:&lt;br /&gt;
&lt;br /&gt;
1-(2212)-9/8-(222)-5/4-(22)-4/3-(1222)-3/2-(2221)-27/16-(222)-15/8-(22)-2&lt;br /&gt;
&lt;br /&gt;
Here the numbers in parethesis are the scale step patters between one note of Sa-grama and the next.&lt;br /&gt;
&lt;br /&gt;
&lt;hr /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Shrutar[22] as srutis"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Shrutar[22] as srutis&lt;!-- ws:start:WikiTextAnchorRule:15:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@shrutar22assrutis&amp;quot; title=&amp;quot;Anchor: shrutar22assrutis&amp;quot;/&amp;gt; --&gt;&lt;a name="shrutar22assrutis"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:15 --&gt;&lt;/h1&gt;
&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/63594" rel="nofollow"&gt;Original article&lt;/a&gt; by Gene Ward Smith, on the Yahoo tuning forum, is quoted here.&lt;br /&gt;
&lt;br /&gt;
Magic is the 22&amp;amp;41 temperament; we can also concoct srutis out of shrutar, the 22&amp;amp;46 temperament. We now make each 9/8 a 2222 in &lt;a class="wiki_link" href="/46edo"&gt;46et&lt;/a&gt;, and each 16/15 a 22. This leaves two 2 steps and a 3 step for 10/9, where we can vary the pattern. This time we make it&lt;br /&gt;
&lt;br /&gt;
1-(2222)-9/8-(322)-5/4-(22)-4/3-(2222)-3/2-(2222)-27/16-(223)-15/8-(22)-2&lt;br /&gt;
&lt;br /&gt;
This gives Shrutar[22].&lt;/body&gt;&lt;/html&gt;</pre></div>
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