Magic22 as srutis
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author xenwolf and made on 2010-05-28 03:15:37 UTC.
- The original revision id was 145396455.
- 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 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. ---- =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:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- 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 /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><!-- ws:end:WikiTextHeadingRule:0 --> </h1> <hr /> <!-- ws:start:WikiTextHeadingRule:2:<h1> --><h1 id="toc1"><a name="Magic[22] as srutis"></a><!-- ws:end:WikiTextHeadingRule:2 -->Magic[22] as srutis<!-- ws:start:WikiTextAnchorRule:14:<img src="/i/anchor.gif" class="WikiAnchor" alt="Anchor" id="wikitext@@anchor@@magic22assrutis" title="Anchor: magic22assrutis"/> --><a name="magic22assrutis"></a><!-- ws:end:WikiTextAnchorRule:14 --></h1> <!-- ws:start:WikiTextHeadingRule:4:<h1> --><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>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 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]:<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:<h1> --><h1 id="toc3"><a name="Shrutar[22] as srutis"></a><!-- ws:end:WikiTextHeadingRule:6 -->Shrutar[22] as srutis<!-- ws:start:WikiTextAnchorRule:15:<img src="/i/anchor.gif" class="WikiAnchor" alt="Anchor" id="wikitext@@anchor@@shrutar22assrutis" title="Anchor: shrutar22assrutis"/> --><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&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>