Magic22 as srutis: Difference between revisions

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**Imported revision 6751473 - Original comment: **
 
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
#redirect [[Indian music #Shruti]]
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>2007-08-11 06:34:38 UTC</tt>.<br>
: The original revision id was <tt>6751473</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>
<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">[[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:
 
(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.
 
(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]:
 
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.</pre></div>
<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;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;/body&gt;&lt;/html&gt;</pre></div>

Latest revision as of 16:09, 17 July 2026