A shruti list: Difference between revisions

Wikispaces>diagonalia
**Imported revision 603090294 - Original comment: **
Wikispaces>diagonalia
**Imported revision 603103806 - 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:diagonalia|diagonalia]] and made on <tt>2017-01-04 14:55:53 UTC</tt>.<br>
: This revision was by author [[User:diagonalia|diagonalia]] and made on <tt>2017-01-04 21:21:49 UTC</tt>.<br>
: The original revision id was <tt>603090294</tt>.<br>
: The original revision id was <tt>603103806</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>
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With each set of srutis associated with a given note, the principal sruti is listed first, the others in descending order of significance. Ratios given are exact. Cent values given are rounded to the nearest whole cent:
With each set of srutis associated with a given note, the principal sruti is listed first, the others in descending order of significance. Ratios given are exact. Cent values given are rounded to the nearest whole cent:
**Note: "Shrutis" listed parenthetically in italics are secondary functions not known to occur in ragas or functions introduced by using 19 or 22 (out of n) edo to simulate them**


Sa (1): [1/1; 000]
Sa (1): [1/1; 000]
//{////komal-////a////rdha re (1): [250/243; 48]}: 22//


komal re (3):
komal re (3):
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ati komal re: [256/243; 090]
ati komal re: [256/243; 090]
ati ati komal re: [25/24; 070]
ati ati komal re: [25/24; 070]
//{ardha komal re (1 3/4), ati ati komal re/ati ati komal re: [27/25; 134], [~64/59; 138], [625/576; 141]}:19*//


Re (1 1/2):
Re (1 1/2):
shuddha re: [9/8; 204]
shuddha re: [9/8; 204]
"half"-status shuddha re: [10/9; 182]
"half"-status shuddha re: [10/9; 182]
//(inverse ati ati komal ga/Pa, komal re/komal re: [256/225; 224]): 22//
//(inverse ekasruti komal ni: [800/729; 160]): 22//
//{////komal-////ardha ga (1 3/4): [144/125; 246], [125/108; 252]}: 19//


komal ga (3):
komal ga (3):
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shuddha Ma: [4/3; 498]
shuddha Ma: [4/3; 498]
ekasruti Ma: [27/20; 520]
ekasruti Ma: [27/20; 520]
//(inverse komal re/tivratar Ma [320/243; 476])//


tivra Ma (2 [1 3/4]):
tivra Ma (2 [1 3/4]):
tivra(tar) Ma: [45/32; 590], [729/512; 612]
tivra(tar) Ma: [45/32; 590], [729/512; 612]
(these two essentially inverses; maybe not entirely a true priority)
(these two essentially inverses; maybe not entirely a true priority)
//(komal ga/komal ga; [36/25; 632]): 19//
//(inverse komal ga/komal ga; [25/18; 568]): 19//
//(ati ati komal ga/ati ati komal ga: [~563/410; 548]): 22//
//(inverse ati ati komal ga/ati ati komal ga: [~820/563; 652]): 22//


Pa (1): [3/2; 702] (inverse ekasruti Ma: [40/27; 680]) //(komal re/tivratar Ma [243/160; 724])//
Pa (1): [3/2; 702] (inverse ekasruti Ma: [40/27; 680])


komal dha (3):
komal dha (3):
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(these two hard to prioritize; maybe a toss-up)
(these two hard to prioritize; maybe a toss-up)
(inverse ati ati komal ga: [128/75; 926])
(inverse ati ati komal ga: [128/75; 926])
//{////komal-////ardha ga (1 3/4): [125/72; 954], [////216/////125; 948]}: 19//


komal ni (2 [1 3/4]):
komal ni (2 [1 3/4]):
komal ni: [9/5; 1018], [16/9; 996]
komal ni: [9/5; 1018], [16/9; 996]
(these two hard to prioritize; maybe a toss-up)
(these two hard to prioritize; maybe a toss-up)
//(ati ati komal ga/Pa, inverse komal re/komal re: [225/128; 976]): 22//
//(ekasruti komal ni: [729/400; 1040]): 22//
//{inverse ardha komal re (1 3/4), inverse ati ati komal re/ati ati komal re: [50/27; 1066], [~59/32; 1062], [1125/625; 1059]}:19*//


Ni (1 1/2):
Ni (1 1/2):
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(inverse ati ati komal re: [48/25; 1130])
(inverse ati ati komal re: [48/25; 1130])


//{inverse komal-////ardha// //re (1): [243/125; 1152]}: 22//
 
**Secondary functions and "artifact shrutis" i****ntroduced by using 19 or 22 (out of n) edo to simulate ragas**
 
komal-ardha re (1): [250/243; 48]: 22
 
ardha komal re (1 3/4), ati ati komal re/ati ati komal re: [27/25; 134], [~64/59; 138], [625/576; 141]: 19*
 
inverse ati ati komal ga/Pa, komal re/komal re: [256/225; 224]: 22
inverse ekasruti komal ni: [800/729; 160]: 22
 
komal-ardha ga (1 3/4): [144/125; 246], [125/108; 252]: 19
 
inverse komal re/tivratar Ma [320/243; 476]
 
komal ga/komal ga; [36/25; 632]: 19
inverse komal ga/komal ga; [25/18; 568]: 19
ati ati komal ga/ati ati komal ga: [~563/410; 548]: 22
inverse ati ati komal ga/ati ati komal ga: [~820/563; 652]: 22
 
komal re/tivratar Ma [243/160; 724]
 
komal-ardha ga (1 3/4): [125/72; 954], [216/125; 948]: 19
 
ati ati komal ga/Pa, inverse komal re/komal re: [225/128; 976]: 22
ekasruti komal ni: [729/400; 1040]: 22
 
inverse ardha komal re (1 3/4), inverse ati ati komal re/ati ati komal re: [50/27; 1066], [~59/32; 1062], [1152/625; 1059]: 19*
== ==
inverse komal-ardha re (1): [243/125; 1152]: 22


==Regular temperaments of the full-status shrutis==  
==Regular temperaments of the full-status shrutis==  
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&lt;br /&gt;
&lt;br /&gt;
With each set of srutis associated with a given note, the principal sruti is listed first, the others in descending order of significance. Ratios given are exact. Cent values given are rounded to the nearest whole cent:&lt;br /&gt;
With each set of srutis associated with a given note, the principal sruti is listed first, the others in descending order of significance. Ratios given are exact. Cent values given are rounded to the nearest whole cent:&lt;br /&gt;
&lt;br /&gt;
&lt;strong&gt;Note: &amp;quot;Shrutis&amp;quot; listed parenthetically in italics are secondary functions not known to occur in ragas or functions introduced by using 19 or 22 (out of n) edo to simulate them&lt;/strong&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Sa (1): [1/1; 000]&lt;br /&gt;
Sa (1): [1/1; 000]&lt;br /&gt;
&lt;br /&gt;
&lt;em&gt;{&lt;/em&gt;&lt;em&gt;komal-&lt;/em&gt;&lt;em&gt;a&lt;/em&gt;&lt;em&gt;rdha re (1): [250/243; 48]}: 22&lt;/em&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
komal re (3):&lt;br /&gt;
komal re (3):&lt;br /&gt;
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ati komal re: [256/243; 090]&lt;br /&gt;
ati komal re: [256/243; 090]&lt;br /&gt;
ati ati komal re: [25/24; 070]&lt;br /&gt;
ati ati komal re: [25/24; 070]&lt;br /&gt;
&lt;br /&gt;
&lt;em&gt;{ardha komal re (1 3/4), ati ati komal re/ati ati komal re: [27/25; 134], [~64/59; 138], [625/576; 141]}:19*&lt;/em&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Re (1 1/2):&lt;br /&gt;
Re (1 1/2):&lt;br /&gt;
shuddha re: [9/8; 204]&lt;br /&gt;
shuddha re: [9/8; 204]&lt;br /&gt;
&amp;quot;half&amp;quot;-status shuddha re: [10/9; 182]&lt;br /&gt;
&amp;quot;half&amp;quot;-status shuddha re: [10/9; 182]&lt;br /&gt;
&lt;em&gt;(inverse ati ati komal ga/Pa, komal re/komal re: [256/225; 224]): 22&lt;/em&gt;&lt;br /&gt;
&lt;em&gt;(inverse ekasruti komal ni: [800/729; 160]): 22&lt;/em&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;em&gt;{&lt;/em&gt;&lt;em&gt;komal-&lt;/em&gt;&lt;em&gt;ardha ga (1 3/4): [144/125; 246], [125/108; 252]}: 19&lt;/em&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
komal ga (3):&lt;br /&gt;
komal ga (3):&lt;br /&gt;
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shuddha Ma: [4/3; 498]&lt;br /&gt;
shuddha Ma: [4/3; 498]&lt;br /&gt;
ekasruti Ma: [27/20; 520]&lt;br /&gt;
ekasruti Ma: [27/20; 520]&lt;br /&gt;
&lt;em&gt;(inverse komal re/tivratar Ma [320/243; 476])&lt;/em&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
tivra Ma (2 [1 3/4]):&lt;br /&gt;
tivra Ma (2 [1 3/4]):&lt;br /&gt;
tivra(tar) Ma: [45/32; 590], [729/512; 612]&lt;br /&gt;
tivra(tar) Ma: [45/32; 590], [729/512; 612]&lt;br /&gt;
(these two essentially inverses; maybe not entirely a true priority)&lt;br /&gt;
(these two essentially inverses; maybe not entirely a true priority)&lt;br /&gt;
&lt;em&gt;(komal ga/komal ga; [36/25; 632]): 19&lt;/em&gt;&lt;br /&gt;
&lt;em&gt;(inverse komal ga/komal ga; [25/18; 568]): 19&lt;/em&gt;&lt;br /&gt;
&lt;em&gt;(ati ati komal ga/ati ati komal ga: [~563/410; 548]): 22&lt;/em&gt;&lt;br /&gt;
&lt;em&gt;(inverse ati ati komal ga/ati ati komal ga: [~820/563; 652]): 22&lt;/em&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Pa (1): [3/2; 702] (inverse ekasruti Ma: [40/27; 680]) &lt;em&gt;(komal re/tivratar Ma [243/160; 724])&lt;/em&gt;&lt;br /&gt;
Pa (1): [3/2; 702] (inverse ekasruti Ma: [40/27; 680])&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
komal dha (3):&lt;br /&gt;
komal dha (3):&lt;br /&gt;
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(these two hard to prioritize; maybe a toss-up)&lt;br /&gt;
(these two hard to prioritize; maybe a toss-up)&lt;br /&gt;
(inverse ati ati komal ga: [128/75; 926])&lt;br /&gt;
(inverse ati ati komal ga: [128/75; 926])&lt;br /&gt;
&lt;br /&gt;
&lt;em&gt;{&lt;/em&gt;&lt;em&gt;komal-&lt;/em&gt;&lt;em&gt;ardha ga (1 3/4): [125/72; 954], [&lt;/em&gt;&lt;em&gt;216&lt;/em&gt;&lt;em&gt;/125; 948]}: 19&lt;/em&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
komal ni (2 [1 3/4]):&lt;br /&gt;
komal ni (2 [1 3/4]):&lt;br /&gt;
komal ni: [9/5; 1018], [16/9; 996]&lt;br /&gt;
komal ni: [9/5; 1018], [16/9; 996]&lt;br /&gt;
(these two hard to prioritize; maybe a toss-up)&lt;br /&gt;
(these two hard to prioritize; maybe a toss-up)&lt;br /&gt;
&lt;em&gt;(ati ati komal ga/Pa, inverse komal re/komal re: [225/128; 976]): 22&lt;/em&gt;&lt;br /&gt;
&lt;em&gt;(ekasruti komal ni: [729/400; 1040]): 22&lt;/em&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;em&gt;{inverse ardha komal re (1 3/4), inverse ati ati komal re/ati ati komal re: [50/27; 1066], [~59/32; 1062], [1125/625; 1059]}:19*&lt;/em&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Ni (1 1/2):&lt;br /&gt;
Ni (1 1/2):&lt;br /&gt;
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(inverse ati ati komal re: [48/25; 1130])&lt;br /&gt;
(inverse ati ati komal re: [48/25; 1130])&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;em&gt;{inverse komal-&lt;/em&gt;&lt;em&gt;ardha&lt;/em&gt; &lt;em&gt;re (1): [243/125; 1152]}: 22&lt;/em&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Regular temperaments of the full-status shrutis"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Regular temperaments of the full-status shrutis&lt;/h2&gt;
&lt;strong&gt;Secondary functions and &amp;quot;artifact shrutis&amp;quot; i&lt;/strong&gt;&lt;strong&gt;ntroduced by using 19 or 22 (out of n) edo to simulate ragas&lt;/strong&gt;&lt;br /&gt;
&lt;br /&gt;
komal-ardha re (1): [250/243; 48]: 22&lt;br /&gt;
&lt;br /&gt;
ardha komal re (1 3/4), ati ati komal re/ati ati komal re: [27/25; 134], [~64/59; 138], [625/576; 141]: 19*&lt;br /&gt;
&lt;br /&gt;
inverse ati ati komal ga/Pa, komal re/komal re: [256/225; 224]: 22&lt;br /&gt;
inverse ekasruti komal ni: [800/729; 160]: 22&lt;br /&gt;
&lt;br /&gt;
komal-ardha ga (1 3/4): [144/125; 246], [125/108; 252]: 19&lt;br /&gt;
&lt;br /&gt;
inverse komal re/tivratar Ma [320/243; 476]&lt;br /&gt;
&lt;br /&gt;
komal ga/komal ga; [36/25; 632]: 19&lt;br /&gt;
inverse komal ga/komal ga; [25/18; 568]: 19&lt;br /&gt;
ati ati komal ga/ati ati komal ga: [~563/410; 548]: 22&lt;br /&gt;
inverse ati ati komal ga/ati ati komal ga: [~820/563; 652]: 22&lt;br /&gt;
&lt;br /&gt;
komal re/tivratar Ma [243/160; 724]&lt;br /&gt;
&lt;br /&gt;
komal-ardha ga (1 3/4): [125/72; 954], [216/125; 948]: 19&lt;br /&gt;
&lt;br /&gt;
ati ati komal ga/Pa, inverse komal re/komal re: [225/128; 976]: 22&lt;br /&gt;
ekasruti komal ni: [729/400; 1040]: 22&lt;br /&gt;
&lt;br /&gt;
inverse ardha komal re (1 3/4), inverse ati ati komal re/ati ati komal re: [50/27; 1066], [~59/32; 1062], [1152/625; 1059]: 19*&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt; &lt;/h2&gt;
inverse komal-ardha re (1): [243/125; 1152]: 22&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-Regular temperaments of the full-status shrutis"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Regular temperaments of the full-status shrutis&lt;/h2&gt;
  &lt;strong&gt;Note: generators in italics will generate a 19 (&lt;/strong&gt;&lt;strong&gt;diatonic)&lt;/strong&gt; &lt;strong&gt;or 22 tone (superdiatonic) set which is too weakly tonal for serious practice&lt;/strong&gt;&lt;br /&gt;
  &lt;strong&gt;Note: generators in italics will generate a 19 (&lt;/strong&gt;&lt;strong&gt;diatonic)&lt;/strong&gt; &lt;strong&gt;or 22 tone (superdiatonic) set which is too weakly tonal for serious practice&lt;/strong&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc1"&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt; &lt;/h4&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc2"&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt; &lt;/h4&gt;
  &lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Underlying"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Underlying&lt;/h1&gt;
  &lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Underlying"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Underlying&lt;/h1&gt;
   
   


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&lt;/table&gt;
&lt;/table&gt;


&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Quoted"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Quoted&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Quoted"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Quoted&lt;/h1&gt;