Shruti: Difference between revisions

Wikispaces>diagonalia
**Imported revision 602950230 - Original comment: **
Wikispaces>diagonalia
**Imported revision 602970196 - 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>2017-01-01 20:04:45 UTC</tt>.<br>
: This revision was by author [[User:diagonalia|diagonalia]] and made on <tt>2017-01-02 14:50:26 UTC</tt>.<br>
: The original revision id was <tt>602950230</tt>.<br>
: The original revision id was <tt>602970196</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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Dha (2):
Dha (2):
shuddha dha: [5/3; 884]
shuddha dha: [5/3; 884], [27/16; 906]
shuddha dha: [27/16; 906]
(these two hard to prioritize; maybe a toss-up)


komal ni (2):
komal ni (2):
komal ni: [9/5; 1018]
komal ni: [9/5; 1018], [16/9; 996]
komal ni: [16/9; 996]
(these two hard to prioritize; maybe a toss-up)
(these two hard to prioritize; maybe a toss-up)


Line 68: Line 67:


==Regular temperaments of the full-status shrutis==  
==Regular temperaments of the full-status shrutis==  
**Note: generators in italics will generate a 22 tone set which is too weakly tonal for serious practice**
**Note: generators in italics will generate a 20 or 22 tone diationic set which is too weakly tonal for serious practice**
||~ Large-small numbers ||~ Generator range ||~ &lt;span style="background-color: #ffffff; color: #000000;"&gt;Midpoint&lt;/span&gt; ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
==== ====
|| 1L21s || 21\22 &lt; g &lt; 1 || g = 43\44 || g = //22\23,// //23\24,// //24/25// || 21g-20 || 1-g ||
=Underlying=
|| 2L20s || 10\22 &lt; g &lt; 1\2 || g = 21\44 || g = //11\24,// //12\26//, 13\28 || 10g-9\2 || 1\2-g ||
||~ Large-small numbers ||~ Status ||~ Generator range ||~ &lt;span style="background-color: #ffffff; color: #000000;"&gt;Midpoint&lt;/span&gt; ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|| 3L19s || 7\22 &lt; g &lt; 1\3 || g = 43\132 || g = //8\25//, 9\28, 10\31 || 19g-6 || 1-3g ||
|| 1L19s || "half" || 19\20 &lt; g &lt; 1 || g = 39\40 || g = //20\21, 21\22, 22\23// || 19g-18 || 1-g ||
|| 4L18s || 5\22 &lt; g &lt; 1\4 || g = 21\88 || g = //6\26//, 7\30, 8\34 || 9g-2 || 1\2-2g ||
|| 2L18s || "3/4" || 9\20 &lt; g &lt; 1\2 || g = 19\40 || g = //10\22//, 11\24, 12\26 || 9g-4 || 1\2-g ||
|| 5L17s || 13\22 &lt; g &lt; 3\5 || g = 131\220 || g = 16\27, 19\32, 22\37 || 17g-10 || 3-5g ||
|| 3L17s || full || 13\20 &lt; g &lt; 2\3 || g = 79\120 || g = //15\23//, 17\26, 20\29 || 17g-11 || 2-3g ||
|| 6L16s || 7\22 &lt; g &lt; 2\6 || g = 43\132 || g = 9\28, 11\34, 13\40 || 8g-5\2 || 1-3g ||
|| 4L16s || "3/4" || 4\20 &lt; g &lt; 1\4 || g = 9\40 || g = 5\24, 6\28, 7\32 || 4g-3\4 || 1\4-g ||
|| 7L15s || 3\22 &lt; g &lt; 1\7 || g = 43\308 || g = 4\29, 5\36, 6\43 || 15g-2 || 1-7g ||
|| 5L15s || full || 3\20 &lt; g &lt; 1\5 || g = 7\40 || g = 4\25, 5\30, 6\35 || 3g-2\5 || 1\5-g ||
|| 8L14s || 8\22 &lt; g &lt; 3\8 || g = 65\176 || g = 11\30, 14\38, 17\46 || 7g-5\2 || 3\2-4g ||
|| 6L14s || "3/4" || 3\20 &lt; g &lt; 1\6 || g = 19\120 || g = 4\26, 5\32, 6\38 || 7g-1 || 1\2-3g ||
|| 9L13s || 17\22 &lt; g &lt; 7\9 || g = 307\396 || g = 24\31, 31\40, 38\49 || 13g-10 || 7-9g ||
|| 7L13s || full || 17\20 &lt; g &lt; 6\7 || g = 239\280 || g = 23\27, 29\34, 35\41 || 13g-11 || 6-7g ||
|| 10L12s || 2\22 &lt; g &lt; 1\10 || g = 21\220 || g = 3\32, 4\42, 5\52 || 6g-1\2 || 1\2-5g ||
|| 8L12s || "3/4" || 2\20 &lt; g &lt; 1\8 || g = 9\80 || g = 3\28, 4\36, 5\44 || 3g-1\4 || 1\4-2g ||
|| 11L11s || 1\22 &lt; g &lt; 1\11 || g = 3\44 || g = 2\33, 3\44, 4\55 || g || 1\11-g ||
|| 9L11s || full || 11\20 &lt; g &lt; 5\9 || g = 199\360 || g = 16\29, 21\38, 26\47 || 11g-6 || 5-9g ||
|| 12L10s || 9\22 &lt; g &lt; 5\12 || g = 109\264 || g = 14\34, 19\46, 24\58 || 5g-2 || 5\2-6g ||
|| 10L10s || "3/4" || 1\20 &lt; g &lt; 1\10 || g = 3\40 || g = 2\30, 3\40, 4\50 || g || 1\10-g ||
|| 13L9s || 5\22 &lt; g &lt; 3\13 || g = 131\572 || g = 8\35, 11\48, 14\61 || 9g-2 || 3-13g ||
|| 11L9s || full || 9\20 &lt; g &lt; 5\11 || g = 199\440 || g = 14\31, 19\42, 24\53 || 9g-4 || 5-11g ||
|| 14L8s || 3\22 &lt; g &lt; 2\14 || g = 43\308 || g = 5\36, 7\50, 9\64 || 4g-1\2 || 1-7g ||
|| 12L8s || "3/4" || 3\20 &lt; g &lt; 2\12 || g = 19\120 || g = 5\32, 7\44, 9\56 || 2g-1\4 || 1\2-3g ||
|| 15L7s || 19\22 &lt; g &lt; 13\15 || g = 571\660 || g = 32\37, 45\52, 58\67 || 7g-6 || 13-15g ||
|| 13L7s || full || 3\20 &lt; g &lt; 2\13 || g = 79\520 || g = 5\33, 7\46, 9\59 || 7g-1 || 2-13g ||
|| 16L6s || 4\22 &lt; g &lt; 3\16 || g = 65\352 || g = 7\38, 10\54, 13\70 || 3g-1\2 || 3\2-8g ||
|| 14L6s || "3/4" || 7\20 &lt; g &lt; 5\14 || g = 99\280 || g = 12\34, 17\48, 22\62 || 3g-1 || 5\2-7g ||
|| 17L5s || 9\22 &lt; g &lt; 7\17 || g = 207\748 || g = 16\39, 23\56, 30\73 || 5g-2 || 7-17g ||
|| 15L5s || full || 1\20 &lt; g &lt; 1\15 || g = 7\120 || g = 2\35, 3\50, 4\65 || g || 1\5-3g ||
|| 18L4s || 6\22 &lt; g &lt; 5\18 || g = 109\396 || g = 11\40, 16\58, 21\76 || 2g-1\2 || 5\2-9g ||
|| 16L4s || "3/4" || 1\20 &lt; g &lt; 1\16 || g = 9\160 || g = 2\36, 3\52, 4\68 || g || 1\4-4g ||
|| 19L3s || 15\22 &lt; g &lt; 13\19 || g = 571\836 || g = 28\41, 41\60, 54\79 || 3g-2 || 13-19g ||
|| 17L3s || full || 7\20 &lt; g &lt; 6\17 || g = 239\680 || g = 13\37, 19\54, 25\71 || 3g-1 || 6-17g ||
|| 20L2s || 1\22 &lt; g &lt; 1\20 || g = 21\440 || g = 2\42, 3\62, 4\72 || g || 1\2-10g ||
|| 18L2s || "3/4" || 1\20 &lt; g &lt; 1\18 || g = 19\360 || g = 2\38, 3\56, 4\74 || g || 1\2-9g ||
|| 21L1s || 1\22 &lt; g &lt; 1\21 || g = 43\924 || g = 2\43, 3\64, 4\85 || g || 1-21g ||</pre></div>
|| 19L1s || "half" || 1\20 &lt; g &lt; 1\19 || g = 39\760 || g = 2\39, 3\58, 4\77 || g || -19g+1 ||
=Quoted=
||~ Large-small numbers ||~ Status ||~ Generator range ||~ &lt;span style="background-color: #ffffff; color: #000000;"&gt;Midpoint&lt;/span&gt; ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|| 1L21s || "half" || 21\22 &lt; g &lt; 1 || g = 43\44 || g = //22\23,// //23\24,// //24/25// || 21g-20 || 1-g ||
|| 2L20s || "3/4" || 10\22 &lt; g &lt; 1\2 || g = 21\44 || g = //11\24,// //12\26//, 13\28 || 10g-9\2 || 1\2-g ||
|| 3L19s || full || 7\22 &lt; g &lt; 1\3 || g = 43\132 || g = //8\25//, 9\28, 10\31 || 19g-6 || 1-3g ||
|| 4L18s || "3/4" || 5\22 &lt; g &lt; 1\4 || g = 21\88 || g = //6\26//, 7\30, 8\34 || 9g-2 || 1\2-2g ||
|| 5L17s || full || 13\22 &lt; g &lt; 3\5 || g = 131\220 || g = 16\27, 19\32, 22\37 || 17g-10 || 3-5g ||
|| 6L16s || "3/4" || 7\22 &lt; g &lt; 2\6 || g = 43\132 || g = 9\28, 11\34, 13\40 || 8g-5\2 || 1-3g ||
|| 7L15s || full || 3\22 &lt; g &lt; 1\7 || g = 43\308 || g = 4\29, 5\36, 6\43 || 15g-2 || 1-7g ||
|| 8L14s || "3/4" || 8\22 &lt; g &lt; 3\8 || g = 65\176 || g = 11\30, 14\38, 17\46 || 7g-5\2 || 3\2-4g ||
|| 9L13s || full || 17\22 &lt; g &lt; 7\9 || g = 307\396 || g = 24\31, 31\40, 38\49 || 13g-10 || 7-9g ||
|| 10L12s || "3/4" || 2\22 &lt; g &lt; 1\10 || g = 21\220 || g = 3\32, 4\42, 5\52 || 6g-1\2 || 1\2-5g ||
|| 11L11s || full || 1\22 &lt; g &lt; 1\11 || g = 3\44 || g = 2\33, 3\44, 4\55 || g || 1\11-g ||
|| 12L10s || "3/4" || 9\22 &lt; g &lt; 5\12 || g = 109\264 || g = 14\34, 19\46, 24\58 || 5g-2 || 5\2-6g ||
|| 13L9s || full || 5\22 &lt; g &lt; 3\13 || g = 131\572 || g = 8\35, 11\48, 14\61 || 9g-2 || 3-13g ||
|| 14L8s || "3/4" || 3\22 &lt; g &lt; 2\14 || g = 43\308 || g = 5\36, 7\50, 9\64 || 4g-1\2 || 1-7g ||
|| 15L7s || full || 19\22 &lt; g &lt; 13\15 || g = 571\660 || g = 32\37, 45\52, 58\67 || 7g-6 || 13-15g ||
|| 16L6s || "3/4" || 4\22 &lt; g &lt; 3\16 || g = 65\352 || g = 7\38, 10\54, 13\70 || 3g-1\2 || 3\2-8g ||
|| 17L5s || full || 9\22 &lt; g &lt; 7\17 || g = 207\748 || g = 16\39, 23\56, 30\73 || 5g-2 || 7-17g ||
|| 18L4s || "3/4" || 6\22 &lt; g &lt; 5\18 || g = 109\396 || g = 11\40, 16\58, 21\76 || 2g-1\2 || 5\2-9g ||
|| 19L3s || full || 15\22 &lt; g &lt; 13\19 || g = 571\836 || g = 28\41, 41\60, 54\79 || 3g-2 || 13-19g ||
|| 20L2s || "3/4" || 1\22 &lt; g &lt; 1\20 || g = 21\440 || g = 2\42, 3\62, 4\72 || g || 1\2-10g ||
|| 21L1s || "half" || 1\22 &lt; g &lt; 1\21 || g = 43\924 || g = 2\43, 3\64, 4\85 || g || 1-21g ||</pre></div>
<h4>Original HTML content:</h4>
<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;A shruti list&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/72704" rel="nofollow"&gt;Original article&lt;/a&gt; by ma1937, on the Yahoo tuning forum, is quoted here.&lt;br /&gt;
<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;A shruti list&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/72704" rel="nofollow"&gt;Original article&lt;/a&gt; by ma1937, on the Yahoo tuning forum, is quoted here.&lt;br /&gt;
Line 141: Line 163:
&lt;br /&gt;
&lt;br /&gt;
Dha (2):&lt;br /&gt;
Dha (2):&lt;br /&gt;
shuddha dha: [5/3; 884]&lt;br /&gt;
shuddha dha: [5/3; 884], [27/16; 906]&lt;br /&gt;
shuddha dha: [27/16; 906]&lt;br /&gt;
(these two hard to prioritize; maybe a toss-up)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
komal ni (2):&lt;br /&gt;
komal ni (2):&lt;br /&gt;
komal ni: [9/5; 1018]&lt;br /&gt;
komal ni: [9/5; 1018], [16/9; 996]&lt;br /&gt;
komal ni: [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;br /&gt;
&lt;br /&gt;
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&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;!-- 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;Note: generators in italics will generate a 22 tone 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 20 or 22 tone diationic 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;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;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Large-small numbers&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Status&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Generator range&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;&lt;span style="background-color: #ffffff; color: #000000;"&gt;Midpoint&lt;/span&gt;&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Large step&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Small step&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1L19s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&amp;quot;half&amp;quot;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19\20 &amp;lt; g &amp;lt; 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 39\40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;20\21, 21\22, 22\23&lt;/em&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19g-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2L18s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&amp;quot;3/4&amp;quot;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9\20 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 19\40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;10\22&lt;/em&gt;, 11\24, 12\26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9g-4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3L17s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;full&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13\20 &amp;lt; g &amp;lt; 2\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 79\120&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;15\23&lt;/em&gt;, 17\26, 20\29&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17g-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4L16s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&amp;quot;3/4&amp;quot;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4\20 &amp;lt; g &amp;lt; 1\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 9\40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\24, 6\28, 7\32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4g-3\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\4-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5L15s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;full&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\20 &amp;lt; g &amp;lt; 1\5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 4\25, 5\30, 6\35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-2\5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\5-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6L14s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&amp;quot;3/4&amp;quot;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\20 &amp;lt; g &amp;lt; 1\6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 19\120&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 4\26, 5\32, 6\38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7L13s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;full&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17\20 &amp;lt; g &amp;lt; 6\7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 239\280&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 23\27, 29\34, 35\41&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13g-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6-7g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8L12s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&amp;quot;3/4&amp;quot;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\20 &amp;lt; g &amp;lt; 1\8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 9\80&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\28, 4\36, 5\44&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-1\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\4-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9L11s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;full&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11\20 &amp;lt; g &amp;lt; 5\9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 199\360&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 16\29, 21\38, 26\47&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11g-6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5-9g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10L10s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&amp;quot;3/4&amp;quot;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\20 &amp;lt; g &amp;lt; 1\10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\30, 3\40, 4\50&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\10-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11L9s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;full&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9\20 &amp;lt; g &amp;lt; 5\11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 199\440&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 14\31, 19\42, 24\53&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9g-4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5-11g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12L8s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&amp;quot;3/4&amp;quot;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\20 &amp;lt; g &amp;lt; 2\12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 19\120&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\32, 7\44, 9\56&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13L7s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;full&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\20 &amp;lt; g &amp;lt; 2\13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 79\520&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\33, 7\46, 9\59&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2-13g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14L6s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&amp;quot;3/4&amp;quot;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7\20 &amp;lt; g &amp;lt; 5\14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 99\280&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 12\34, 17\48, 22\62&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\2-7g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15L5s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;full&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\20 &amp;lt; g &amp;lt; 1\15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\120&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\35, 3\50, 4\65&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\5-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16L4s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&amp;quot;3/4&amp;quot;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\20 &amp;lt; g &amp;lt; 1\16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 9\160&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\36, 3\52, 4\68&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\4-4g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17L3s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;full&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7\20 &amp;lt; g &amp;lt; 6\17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 239\680&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 13\37, 19\54, 25\71&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6-17g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18L2s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&amp;quot;3/4&amp;quot;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\20 &amp;lt; g &amp;lt; 1\18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 19\360&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\38, 3\56, 4\74&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-9g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;19L1s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&amp;quot;half&amp;quot;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\20 &amp;lt; g &amp;lt; 1\19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 39\760&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\39, 3\58, 4\77&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;-19g+1&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&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;table class="wiki_table"&gt;
&lt;table class="wiki_table"&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;th&gt;Large-small numbers&lt;br /&gt;
         &lt;th&gt;Large-small numbers&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Status&lt;br /&gt;
&lt;/th&gt;
&lt;/th&gt;
         &lt;th&gt;Generator range&lt;br /&gt;
         &lt;th&gt;Generator range&lt;br /&gt;
Line 174: Line 525:
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;1L21s&lt;br /&gt;
         &lt;td&gt;1L21s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&amp;quot;half&amp;quot;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;21\22 &amp;lt; g &amp;lt; 1&lt;br /&gt;
         &lt;td&gt;21\22 &amp;lt; g &amp;lt; 1&lt;br /&gt;
Line 188: Line 541:
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;2L20s&lt;br /&gt;
         &lt;td&gt;2L20s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&amp;quot;3/4&amp;quot;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;10\22 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
         &lt;td&gt;10\22 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
Line 202: Line 557:
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;3L19s&lt;br /&gt;
         &lt;td&gt;3L19s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;full&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;7\22 &amp;lt; g &amp;lt; 1\3&lt;br /&gt;
         &lt;td&gt;7\22 &amp;lt; g &amp;lt; 1\3&lt;br /&gt;
Line 216: Line 573:
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;4L18s&lt;br /&gt;
         &lt;td&gt;4L18s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&amp;quot;3/4&amp;quot;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;5\22 &amp;lt; g &amp;lt; 1\4&lt;br /&gt;
         &lt;td&gt;5\22 &amp;lt; g &amp;lt; 1\4&lt;br /&gt;
Line 230: Line 589:
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;5L17s&lt;br /&gt;
         &lt;td&gt;5L17s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;full&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;13\22 &amp;lt; g &amp;lt; 3\5&lt;br /&gt;
         &lt;td&gt;13\22 &amp;lt; g &amp;lt; 3\5&lt;br /&gt;
Line 244: Line 605:
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;6L16s&lt;br /&gt;
         &lt;td&gt;6L16s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&amp;quot;3/4&amp;quot;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;7\22 &amp;lt; g &amp;lt; 2\6&lt;br /&gt;
         &lt;td&gt;7\22 &amp;lt; g &amp;lt; 2\6&lt;br /&gt;
Line 258: Line 621:
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;7L15s&lt;br /&gt;
         &lt;td&gt;7L15s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;full&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;3\22 &amp;lt; g &amp;lt; 1\7&lt;br /&gt;
         &lt;td&gt;3\22 &amp;lt; g &amp;lt; 1\7&lt;br /&gt;
Line 272: Line 637:
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;8L14s&lt;br /&gt;
         &lt;td&gt;8L14s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&amp;quot;3/4&amp;quot;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;8\22 &amp;lt; g &amp;lt; 3\8&lt;br /&gt;
         &lt;td&gt;8\22 &amp;lt; g &amp;lt; 3\8&lt;br /&gt;
Line 286: Line 653:
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;9L13s&lt;br /&gt;
         &lt;td&gt;9L13s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;full&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;17\22 &amp;lt; g &amp;lt; 7\9&lt;br /&gt;
         &lt;td&gt;17\22 &amp;lt; g &amp;lt; 7\9&lt;br /&gt;
Line 300: Line 669:
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;10L12s&lt;br /&gt;
         &lt;td&gt;10L12s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&amp;quot;3/4&amp;quot;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;2\22 &amp;lt; g &amp;lt; 1\10&lt;br /&gt;
         &lt;td&gt;2\22 &amp;lt; g &amp;lt; 1\10&lt;br /&gt;
Line 314: Line 685:
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;11L11s&lt;br /&gt;
         &lt;td&gt;11L11s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;full&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1\22 &amp;lt; g &amp;lt; 1\11&lt;br /&gt;
         &lt;td&gt;1\22 &amp;lt; g &amp;lt; 1\11&lt;br /&gt;
Line 328: Line 701:
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;12L10s&lt;br /&gt;
         &lt;td&gt;12L10s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&amp;quot;3/4&amp;quot;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;9\22 &amp;lt; g &amp;lt; 5\12&lt;br /&gt;
         &lt;td&gt;9\22 &amp;lt; g &amp;lt; 5\12&lt;br /&gt;
Line 342: Line 717:
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;13L9s&lt;br /&gt;
         &lt;td&gt;13L9s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;full&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;5\22 &amp;lt; g &amp;lt; 3\13&lt;br /&gt;
         &lt;td&gt;5\22 &amp;lt; g &amp;lt; 3\13&lt;br /&gt;
Line 356: Line 733:
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;14L8s&lt;br /&gt;
         &lt;td&gt;14L8s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&amp;quot;3/4&amp;quot;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;3\22 &amp;lt; g &amp;lt; 2\14&lt;br /&gt;
         &lt;td&gt;3\22 &amp;lt; g &amp;lt; 2\14&lt;br /&gt;
Line 370: Line 749:
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;15L7s&lt;br /&gt;
         &lt;td&gt;15L7s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;full&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;19\22 &amp;lt; g &amp;lt; 13\15&lt;br /&gt;
         &lt;td&gt;19\22 &amp;lt; g &amp;lt; 13\15&lt;br /&gt;
Line 384: Line 765:
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;16L6s&lt;br /&gt;
         &lt;td&gt;16L6s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&amp;quot;3/4&amp;quot;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;4\22 &amp;lt; g &amp;lt; 3\16&lt;br /&gt;
         &lt;td&gt;4\22 &amp;lt; g &amp;lt; 3\16&lt;br /&gt;
Line 398: Line 781:
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;17L5s&lt;br /&gt;
         &lt;td&gt;17L5s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;full&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;9\22 &amp;lt; g &amp;lt; 7\17&lt;br /&gt;
         &lt;td&gt;9\22 &amp;lt; g &amp;lt; 7\17&lt;br /&gt;
Line 412: Line 797:
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;18L4s&lt;br /&gt;
         &lt;td&gt;18L4s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&amp;quot;3/4&amp;quot;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;6\22 &amp;lt; g &amp;lt; 5\18&lt;br /&gt;
         &lt;td&gt;6\22 &amp;lt; g &amp;lt; 5\18&lt;br /&gt;
Line 426: Line 813:
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;19L3s&lt;br /&gt;
         &lt;td&gt;19L3s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;full&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;15\22 &amp;lt; g &amp;lt; 13\19&lt;br /&gt;
         &lt;td&gt;15\22 &amp;lt; g &amp;lt; 13\19&lt;br /&gt;
Line 440: Line 829:
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;20L2s&lt;br /&gt;
         &lt;td&gt;20L2s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&amp;quot;3/4&amp;quot;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1\22 &amp;lt; g &amp;lt; 1\20&lt;br /&gt;
         &lt;td&gt;1\22 &amp;lt; g &amp;lt; 1\20&lt;br /&gt;
Line 454: Line 845:
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;21L1s&lt;br /&gt;
         &lt;td&gt;21L1s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&amp;quot;half&amp;quot;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1\22 &amp;lt; g &amp;lt; 1\21&lt;br /&gt;
         &lt;td&gt;1\22 &amp;lt; g &amp;lt; 1\21&lt;br /&gt;