Magic22 as srutis: Difference between revisions

Revision as of 11:29, 15 December 2016

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This revision was by author JosephRuhf and made on 2016-12-15 11:29:23 UTC.

The original revision id was 602240080.

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[[toc|flat]]

= = 
----
=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:

(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>10/9>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 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

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

----
=Shrutar[22] as srutis[[#shrutar22assrutis]]= 

[[http://launch.groups.yahoo.com/group/tuning/message/63594|Original article]] by Gene Ward Smith, on the Yahoo tuning forum, is quoted here.

Magic is the 22&41 temperament; we can also concoct srutis out of shrutar, the 22&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

1-(2222)-9/8-(322)-5/4-(22)-4/3-(2222)-3/2-(2222)-27/16-(223)-15/8-(22)-2

This gives Shrutar[22].

Original HTML content:

<html><head><title>Magic22 as srutis</title></head><body><!-- ws:start:WikiTextTocRule:8:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:8 --><!-- ws:start:WikiTextTocRule:9: --><a href="#toc0"> </a><!-- ws:end:WikiTextTocRule:9 --><!-- ws:start:WikiTextTocRule:10: --> | <a href="#Magic[22] as srutis">Magic[22] as srutis</a><!-- ws:end:WikiTextTocRule:10 --><!-- ws:start:WikiTextTocRule:11: --> | <a href="#toc2"> </a><!-- ws:end:WikiTextTocRule:11 --><!-- ws:start:WikiTextTocRule:12: --> | <a href="#Shrutar[22] as srutis">Shrutar[22] as srutis</a><!-- ws:end:WikiTextTocRule:12 --><!-- ws:start:WikiTextTocRule:13: -->
<!-- ws:end:WikiTextTocRule:13 --><br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><!-- ws:end:WikiTextHeadingRule:0 --> </h1>
 <hr />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Magic[22] as srutis"></a><!-- ws:end:WikiTextHeadingRule:2 -->Magic[22] as srutis<!-- ws:start:WikiTextAnchorRule:14:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@magic22assrutis&quot; title=&quot;Anchor: magic22assrutis&quot;/&gt; --><a name="magic22assrutis"></a><!-- ws:end:WikiTextAnchorRule:14 --></h1>
 <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><!-- ws:end:WikiTextHeadingRule:4 --> </h1>
 <br />
<a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/63593" rel="nofollow">Original article</a> by <a class="wiki_link" href="/Gene%20Ward%20Smith">Gene Ward Smith</a>, on the Yahoo tuning forum, is quoted here.<br />
<br />
What srutis are seems to be fairly flexible. However, reasonably authentic conditions to impose are the following:<br />
<br />
(1) It should contain the Sa-grama, 9/8-5/4-4/3-3/2-27/16-15/8-2<br />
<br />
(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.<br />
<br />
(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.<br />
<br />
Many scales fulfill these conditions, and one of the most interesting, I think, is Magic[22], the 22-note MOS of the <a class="wiki_link" href="/Regular%20Temperaments#magic">magic temperament</a>. Using the generator of 13 steps of <a class="wiki_link" href="/41edo">41-et</a>, 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]:<br />
<br />
1-(2212)-9/8-(222)-5/4-(22)-4/3-(1222)-3/2-(2221)-27/16-(222)-15/8-(22)-2<br />
<br />
Here the numbers in parethesis are the scale step patters between one note of Sa-grama and the next.<br />
<br />
<hr />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Shrutar[22] as srutis"></a><!-- ws:end:WikiTextHeadingRule:6 -->Shrutar[22] as srutis<!-- ws:start:WikiTextAnchorRule:15:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@shrutar22assrutis&quot; title=&quot;Anchor: shrutar22assrutis&quot;/&gt; --><a name="shrutar22assrutis"></a><!-- ws:end:WikiTextAnchorRule:15 --></h1>
 <br />
<a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/63594" rel="nofollow">Original article</a> by Gene Ward Smith, on the Yahoo tuning forum, is quoted here.<br />
<br />
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 <a class="wiki_link" href="/46edo">46et</a>, 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<br />
<br />
1-(2222)-9/8-(322)-5/4-(22)-4/3-(2222)-3/2-(2222)-27/16-(223)-15/8-(22)-2<br />
<br />
This gives Shrutar[22].</body></html>

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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:xenwolf|xenwolf]] and made on <tt>2010-05-28 03:15:37 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-15 11:29:23 UTC</tt>.<br>
-: The original revision id was <tt>145396455</tt>.<br>
+: The original revision id was <tt>602240080</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">[[toc|flat]]
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 (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 [[Regular Temperaments#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]:
 -(2212)-9/8-(222)-5/4-(22)-4/3-(1222)-3/2-(2221)-27/16-(222)-15/8-(22)-2
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 <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;
 &lt;!-- ws:end:WikiTextTocRule:13 --&gt;&lt;br /&gt;
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 (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;
+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 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]:&lt;br /&gt;
 &lt;br /&gt;
 -(2212)-9/8-(222)-5/4-(22)-4/3-(1222)-3/2-(2221)-27/16-(222)-15/8-(22)-2&lt;br /&gt;

Magic22 as srutis: Difference between revisions

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