Magic22 as srutis: Difference between revisions
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Wikispaces>JosephRuhf **Imported revision 602240080 - Original comment: ** |
Wikispaces>mbattaglia1 **Imported revision 630873023 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User: | : 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> | : The original revision id was <tt>630873023</tt>.<br> | ||
: The revision comment was: <tt></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> | 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> | <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]] | <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]]= | =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. | [[http://launch.groups.yahoo.com/group/tuning/message/63593|Original article]] by [[Gene Ward Smith]], on the Yahoo tuning forum, is quoted here. | ||
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This gives Shrutar[22].</pre></div> | This gives Shrutar[22].</pre></div> | ||
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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"><html><head><title>Magic22 as srutis</title></head><body><!-- ws:start:WikiTextTocRule: | <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><!-- ws:start:WikiTextTocRule:4:&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:4 --><!-- ws:start:WikiTextTocRule:5: --><a href="#Magic[22] as srutis">Magic[22] as srutis</a><!-- ws:end:WikiTextTocRule:5 --><!-- ws:start:WikiTextTocRule:6: --> | <a href="#Shrutar[22] as srutis">Shrutar[22] as srutis</a><!-- ws:end:WikiTextTocRule:6 --><!-- ws:start:WikiTextTocRule:7: --> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:7 --><hr /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0 | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Magic[22] as srutis"></a><!-- ws:end:WikiTextHeadingRule:0 -->Magic[22] as srutis<!-- ws:start:WikiTextAnchorRule:8:&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:8 --></h1> | ||
<br /> | <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 /> | <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 /> | ||
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<hr /> | <hr /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Shrutar[22] as srutis"></a><!-- ws:end:WikiTextHeadingRule:2 -->Shrutar[22] as srutis<!-- ws:start:WikiTextAnchorRule:9:&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:9 --></h1> | ||
<br /> | <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 /> | <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 /> | ||
Revision as of 03:07, 12 July 2018
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author mbattaglia1 and made on 2018-07-12 03:07:19 UTC.
- The original revision id was 630873023.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
[[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:4:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- ws:end:WikiTextTocRule:4 --><!-- ws:start:WikiTextTocRule:5: --><a href="#Magic[22] as srutis">Magic[22] as srutis</a><!-- ws:end:WikiTextTocRule:5 --><!-- ws:start:WikiTextTocRule:6: --> | <a href="#Shrutar[22] as srutis">Shrutar[22] as srutis</a><!-- ws:end:WikiTextTocRule:6 --><!-- ws:start:WikiTextTocRule:7: --> <!-- ws:end:WikiTextTocRule:7 --><hr /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Magic[22] as srutis"></a><!-- ws:end:WikiTextHeadingRule:0 -->Magic[22] as srutis<!-- ws:start:WikiTextAnchorRule:8:<img src="/i/anchor.gif" class="WikiAnchor" alt="Anchor" id="wikitext@@anchor@@magic22assrutis" title="Anchor: magic22assrutis"/> --><a name="magic22assrutis"></a><!-- ws:end:WikiTextAnchorRule:8 --></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>10/9>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:2:<h1> --><h1 id="toc1"><a name="Shrutar[22] as srutis"></a><!-- ws:end:WikiTextHeadingRule:2 -->Shrutar[22] as srutis<!-- ws:start:WikiTextAnchorRule:9:<img src="/i/anchor.gif" class="WikiAnchor" alt="Anchor" id="wikitext@@anchor@@shrutar22assrutis" title="Anchor: shrutar22assrutis"/> --><a name="shrutar22assrutis"></a><!-- ws:end:WikiTextAnchorRule:9 --></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&41 temperament; we can also concoct srutis out of shrutar, the 22&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>