Magic22 as srutis: Difference between revisions

Line 1:

~~<h2>IMPORTED REVISION FROM WIKISPACES</h2>~~

__FORCETOC__

~~This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>~~

-----

~~: This revision was by author [[User:mbattaglia1|mbattaglia1]] and made on <tt>2018~~-07-~~12 03:07:19 UTC</tt>.<br>~~

~~: The original revision id was <tt>630873023</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]]~~

~~----~~

~~=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.

=Magic[22] as srutis=

[http://launch.groups.yahoo.com/group/tuning/message/63593 Original article] by [[Gene_Ward_Smith|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:

Line 20:

Line 14:

(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]:

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

Line 26:

Line 20:

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=

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

[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

Line 35:

Line 30:

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].~~</pre></div>~~

This gives Shrutar[22].

~~<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"><html><head><title>Magic22 as srutis</title></head><body><a href="#Magic[22] as srutis">Magic[22] as srutis</a> | <a href="#Shrutar[22] as srutis">Shrutar[22] as srutis</a>

~~<hr />~~

<h1 id="toc0"><a name="Magic[22] as srutis"></a>Magic[22] as srutis<a name="magic22assrutis"></a></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 />~~

<h1 id="toc1"><a name="Shrutar[22] as srutis"></a>Shrutar[22] as srutis<a name="shrutar22assrutis"></a></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></pre></div>~~

@@ Line 1: / Line 1: @@
-<h2>IMPORTED REVISION FROM WIKISPACES</h2>
+__FORCETOC__
-This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
+-----
-: This revision was by author [[User:mbattaglia1|mbattaglia1]] and made on <tt>2018-07-12 03:07:19 UTC</tt>.<br>
-: The original revision id was <tt>630873023</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]]
-----
-=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.
+=Magic[22] as srutis=
+[http://launch.groups.yahoo.com/group/tuning/message/63593 Original article] by [[Gene_Ward_Smith|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:
@@ Line 20: / Line 14: @@
 (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 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]:
+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
@@ Line 26: / Line 20: @@
 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=
-[[http://launch.groups.yahoo.com/group/tuning/message/63594|Original article]] by Gene Ward Smith, on the Yahoo tuning forum, is quoted here.
+[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&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
@@ Line 35: / Line 30: @@
 -(2222)-9/8-(322)-5/4-(22)-4/3-(2222)-3/2-(2222)-27/16-(223)-15/8-(22)-2
-This gives Shrutar[22].</pre></div>
+This gives Shrutar[22].
-<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:4:&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:4 --&gt;&lt;!-- ws:start:WikiTextTocRule:5: --&gt;&lt;a href="#Magic[22] as srutis"&gt;Magic[22] as srutis&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:5 --&gt;&lt;!-- ws:start:WikiTextTocRule:6: --&gt; | &lt;a href="#Shrutar[22] as srutis"&gt;Shrutar[22] as srutis&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:6 --&gt;&lt;!-- ws:start:WikiTextTocRule:7: --&gt;
-&lt;!-- ws:end:WikiTextTocRule:7 --&gt;&lt;hr /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Magic[22] as srutis"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Magic[22] as srutis&lt;!-- ws:start:WikiTextAnchorRule:8:&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:8 --&gt;&lt;/h1&gt;
- &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 &lt;a class="wiki_link" href="/Gene%20Ward%20Smith"&gt;Gene Ward Smith&lt;/a&gt;, 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 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;
-&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:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Shrutar[22] as srutis"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Shrutar[22] as srutis&lt;!-- ws:start:WikiTextAnchorRule:9:&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:9 --&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;
--(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>