A shruti list: Difference between revisions
Wikispaces>hstraub **Imported revision 8292813 - Original comment: List of shruti sizes** |
Wikispaces>diagonalia **Imported revision 602929110 - 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:diagonalia|diagonalia]] and made on <tt>2016-12-31 12:47:53 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>602929110</tt>.<br> | ||
: The revision comment was: <tt> | : 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> | ||
| Line 65: | Line 65: | ||
Ni (1 1/2): | Ni (1 1/2): | ||
shuddha ni: [15/8; 1088] | shuddha ni: [15/8; 1088] | ||
"half"-status shuddha ni: [243/128; 1110]</pre></div> | "half"-status shuddha ni: [243/128; 1110] | ||
==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** | |||
||~ Large-small numbers ||~ Generator range ||~ <span style="background-color: #ffffff; color: #000000;">Midpoint</span> ||~ Range of propriety ||~ Range of maximum expressiveness ||~ <span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span> ||~ Large step ||~ Small step || | |||
|| 1L21s || 21\22 < g < 1 || g = 43\44 || 21\22 < g < //22\23// || //22\23// < g < //23\24// || //23\24// < g < //24/25// || 21g-20 || 1-g || | |||
|| 2L20s || 10\22 < g < 1\2 || g = 21\44 || 10\22 < g < //11\24// || //11\24// < g < //12\26// || //12\26// < g < 13\28 || 10g-9\2 || 1\2-g || | |||
|| 3L19s || 7\22 < g < 1\3 || g = 43\132 || 7\22 < g < //8\25// || //8\25// < g < 9\28 || 9\28 < g < 10\31 || 19g-6 || 1-3g || | |||
|| 4L18s || 5\22 < g < 1\4 || g = 21\88 || 5\22 < g < //6\26// || //6\26// < g < 7\30 || 7\30 < g < 8\34 || 9g-2 || 1\2-2g || | |||
|| 5L17s || 13\22 < g < 3\5 || g = 131\220 || 13\22 < g < 16\27 || 16\27 < g < 19\32 || 19\32 < g < 22\37 || 17g-10 || 3-5g || | |||
|| 6L16s || 7\22 < g < 2\6 || g = 43\132 || 7\22 < g < 9\28 || 9\28 < g < 11\34 || 11\34 < g < 13\40 || 8g-5\2 || 1-3g || | |||
|| 7L15s || 3\22 < g < 1\7 || g = 43\308 || 3\22 < g < 4\29 || 4\29 < g < 5\36 || 5\36 < g < 6\43 || 15g-2 || 1-7g || | |||
|| 8L14s || 8\22 < g < 3\8 || g = 65\176 || 8\22 < g < 11\30 || 11\30 < g < 14\38 || 14\38 < g < 17\46 || 7g-5\2 || 3\2-4g || | |||
|| 9L13s || 17\22 < g < 7\9 || g = 307\396 || 17\22 < g < 24\31 || 24\31 < g < 31\40 || 31\40 < g < 38\49 || 13g-10 || 7-9g || | |||
|| 10L12s || 2\22 < g < 1\10 || g = 21\220 || 2\22 < g < 3\32 || 3\32 < g < 4\42 || 4\42 < g < 5\52 || 6g-1\2 || 1\2-5g || | |||
|| 11L11s || 1\22 < g < 1\11 || g = 3\44 || 1\22 < g < 2\33 || 2\33 < g < 3\44 || 3\44 < g < 4\55 || g || 1\11-g || | |||
|| 12L10s || 9\22 < g < 5\12 || g = 109\264 || 9\22 < g < 14\34 || 14\34 < g < 19\46 || 19\46 < g < 24\58 || 5g-2 || 5\2-6g || | |||
|| 13L9s || 5\22 < g < 3\13 || g = 131\572 || 5\22 < g < 8\35 || 8\35 < g < 11\48 || 11\48 < g < 14\61 || 9g-2 || 3-13g || | |||
|| 14L8s || 3\22 < g < 2\14 || g = 43\308 || 3\22 < g < 5\36 || 5\36 < g < 7\50 || 7\50 < g < 9\64 || 4g-1\2 || 1-7g || | |||
|| 15L7s || 19\22 < g < 13\15 || g = 571\660 || 19\22 < g < 32\37 || 32\37 < g < 45\52 || 45\52 < g < 58\67 || 7g-6 || 13-15g || | |||
|| 16L6s || 4\22 < g < 3\16 || g = 65\352 || 4\22 < g < 7\38 || 7\38 < g < 10\54 || 10\54 < g < 13\70 || 3g-1\2 || 3\2-8g || | |||
|| 17L5s || 9\22 < g < 7\17 || g = 207\748 || 9\22 < g < 16\39 || 16\39 < g < 23\56 || 23\56 < g < 30\73 || 5g-2 || 7-17g || | |||
|| 18L4s || 6\22 < g < 5\18 || g = 109\396 || 6\22 < g < 11\40 || 11\40 < g < 16\58 || 16\58 < g < 21\76 || 2g-1\2 || 5\2-9g || | |||
|| 19L3s || 15\22 < g < 13\19 || g = 571\836 || 15\22 < g < 28\41 || 28\41 < g < 41\60 || 41\60 < g < 54\79 || 3g-2 || 13-19g+ || | |||
|| 20L2s || 1\22 < g < 1\20 || g = 21\440 || 1\22 < g < 2\42 || 2\42 < g < 3\62 || 3\62 < g < 4\72 || g || 1\2-10g || | |||
|| 21L1s || 1\22 < g < 1\21 || g = 43\924 || 1\22 < g < 2\43 || 2\43 < g < 3\64 || 3\64 < g < 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"><html><head><title>A shruti list</title></head><body><a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/72704" rel="nofollow">Original article</a> by ma1937, on the Yahoo tuning forum, is quoted here.<br /> | <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>A shruti list</title></head><body><a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/72704" rel="nofollow">Original article</a> by ma1937, on the Yahoo tuning forum, is quoted here.<br /> | ||
| Line 126: | Line 152: | ||
Ni (1 1/2):<br /> | Ni (1 1/2):<br /> | ||
shuddha ni: [15/8; 1088]<br /> | shuddha ni: [15/8; 1088]<br /> | ||
&quot;half&quot;-status shuddha ni: [243/128; 1110]</body></html></pre></div> | &quot;half&quot;-status shuddha ni: [243/128; 1110]<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Regular temperaments of the full-status shrutis"></a><!-- ws:end:WikiTextHeadingRule:0 -->Regular temperaments of the full-status shrutis</h2> | |||
<strong>Note: generators in italics will generate a 22 tone set which is too weakly tonal for serious practice</strong><br /> | |||
<br /> | |||
<table class="wiki_table"> | |||
<tr> | |||
<th>Large-small numbers<br /> | |||
</th> | |||
<th>Generator range<br /> | |||
</th> | |||
<th><span style="background-color: #ffffff; color: #000000;">Midpoint</span><br /> | |||
</th> | |||
<th>Range of propriety<br /> | |||
</th> | |||
<th>Range of maximum expressiveness<br /> | |||
</th> | |||
<th><span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span><br /> | |||
</th> | |||
<th>Large step<br /> | |||
</th> | |||
<th>Small step<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td>1L21s<br /> | |||
</td> | |||
<td>21\22 &lt; g &lt; 1<br /> | |||
</td> | |||
<td>g = 43\44<br /> | |||
</td> | |||
<td>21\22 &lt; g &lt; <em>22\23</em><br /> | |||
</td> | |||
<td><em>22\23</em> &lt; g &lt; <em>23\24</em><br /> | |||
</td> | |||
<td><em>23\24</em> &lt; g &lt; <em>24/25</em><br /> | |||
</td> | |||
<td>21g-20<br /> | |||
</td> | |||
<td>1-g<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>2L20s<br /> | |||
</td> | |||
<td>10\22 &lt; g &lt; 1\2<br /> | |||
</td> | |||
<td>g = 21\44<br /> | |||
</td> | |||
<td>10\22 &lt; g &lt; <em>11\24</em><br /> | |||
</td> | |||
<td><em>11\24</em> &lt; g &lt; <em>12\26</em><br /> | |||
</td> | |||
<td><em>12\26</em> &lt; g &lt; 13\28<br /> | |||
</td> | |||
<td>10g-9\2<br /> | |||
</td> | |||
<td>1\2-g<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>3L19s<br /> | |||
</td> | |||
<td>7\22 &lt; g &lt; 1\3<br /> | |||
</td> | |||
<td>g = 43\132<br /> | |||
</td> | |||
<td>7\22 &lt; g &lt; <em>8\25</em><br /> | |||
</td> | |||
<td><em>8\25</em> &lt; g &lt; 9\28<br /> | |||
</td> | |||
<td>9\28 &lt; g &lt; 10\31<br /> | |||
</td> | |||
<td>19g-6<br /> | |||
</td> | |||
<td>1-3g<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>4L18s<br /> | |||
</td> | |||
<td>5\22 &lt; g &lt; 1\4<br /> | |||
</td> | |||
<td>g = 21\88<br /> | |||
</td> | |||
<td>5\22 &lt; g &lt; <em>6\26</em><br /> | |||
</td> | |||
<td><em>6\26</em> &lt; g &lt; 7\30<br /> | |||
</td> | |||
<td>7\30 &lt; g &lt; 8\34<br /> | |||
</td> | |||
<td>9g-2<br /> | |||
</td> | |||
<td>1\2-2g<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>5L17s<br /> | |||
</td> | |||
<td>13\22 &lt; g &lt; 3\5<br /> | |||
</td> | |||
<td>g = 131\220<br /> | |||
</td> | |||
<td>13\22 &lt; g &lt; 16\27<br /> | |||
</td> | |||
<td>16\27 &lt; g &lt; 19\32<br /> | |||
</td> | |||
<td>19\32 &lt; g &lt; 22\37<br /> | |||
</td> | |||
<td>17g-10<br /> | |||
</td> | |||
<td>3-5g<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>6L16s<br /> | |||
</td> | |||
<td>7\22 &lt; g &lt; 2\6<br /> | |||
</td> | |||
<td>g = 43\132<br /> | |||
</td> | |||
<td>7\22 &lt; g &lt; 9\28<br /> | |||
</td> | |||
<td>9\28 &lt; g &lt; 11\34<br /> | |||
</td> | |||
<td>11\34 &lt; g &lt; 13\40<br /> | |||
</td> | |||
<td>8g-5\2<br /> | |||
</td> | |||
<td>1-3g<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>7L15s<br /> | |||
</td> | |||
<td>3\22 &lt; g &lt; 1\7<br /> | |||
</td> | |||
<td>g = 43\308<br /> | |||
</td> | |||
<td>3\22 &lt; g &lt; 4\29<br /> | |||
</td> | |||
<td>4\29 &lt; g &lt; 5\36<br /> | |||
</td> | |||
<td>5\36 &lt; g &lt; 6\43<br /> | |||
</td> | |||
<td>15g-2<br /> | |||
</td> | |||
<td>1-7g<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>8L14s<br /> | |||
</td> | |||
<td>8\22 &lt; g &lt; 3\8<br /> | |||
</td> | |||
<td>g = 65\176<br /> | |||
</td> | |||
<td>8\22 &lt; g &lt; 11\30<br /> | |||
</td> | |||
<td>11\30 &lt; g &lt; 14\38<br /> | |||
</td> | |||
<td>14\38 &lt; g &lt; 17\46<br /> | |||
</td> | |||
<td>7g-5\2<br /> | |||
</td> | |||
<td>3\2-4g<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>9L13s<br /> | |||
</td> | |||
<td>17\22 &lt; g &lt; 7\9<br /> | |||
</td> | |||
<td>g = 307\396<br /> | |||
</td> | |||
<td>17\22 &lt; g &lt; 24\31<br /> | |||
</td> | |||
<td>24\31 &lt; g &lt; 31\40<br /> | |||
</td> | |||
<td>31\40 &lt; g &lt; 38\49<br /> | |||
</td> | |||
<td>13g-10<br /> | |||
</td> | |||
<td>7-9g<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>10L12s<br /> | |||
</td> | |||
<td>2\22 &lt; g &lt; 1\10<br /> | |||
</td> | |||
<td>g = 21\220<br /> | |||
</td> | |||
<td>2\22 &lt; g &lt; 3\32<br /> | |||
</td> | |||
<td>3\32 &lt; g &lt; 4\42<br /> | |||
</td> | |||
<td>4\42 &lt; g &lt; 5\52<br /> | |||
</td> | |||
<td>6g-1\2<br /> | |||
</td> | |||
<td>1\2-5g<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>11L11s<br /> | |||
</td> | |||
<td>1\22 &lt; g &lt; 1\11<br /> | |||
</td> | |||
<td>g = 3\44<br /> | |||
</td> | |||
<td>1\22 &lt; g &lt; 2\33<br /> | |||
</td> | |||
<td>2\33 &lt; g &lt; 3\44<br /> | |||
</td> | |||
<td>3\44 &lt; g &lt; 4\55<br /> | |||
</td> | |||
<td>g<br /> | |||
</td> | |||
<td>1\11-g<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>12L10s<br /> | |||
</td> | |||
<td>9\22 &lt; g &lt; 5\12<br /> | |||
</td> | |||
<td>g = 109\264<br /> | |||
</td> | |||
<td>9\22 &lt; g &lt; 14\34<br /> | |||
</td> | |||
<td>14\34 &lt; g &lt; 19\46<br /> | |||
</td> | |||
<td>19\46 &lt; g &lt; 24\58<br /> | |||
</td> | |||
<td>5g-2<br /> | |||
</td> | |||
<td>5\2-6g<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>13L9s<br /> | |||
</td> | |||
<td>5\22 &lt; g &lt; 3\13<br /> | |||
</td> | |||
<td>g = 131\572<br /> | |||
</td> | |||
<td>5\22 &lt; g &lt; 8\35<br /> | |||
</td> | |||
<td>8\35 &lt; g &lt; 11\48<br /> | |||
</td> | |||
<td>11\48 &lt; g &lt; 14\61<br /> | |||
</td> | |||
<td>9g-2<br /> | |||
</td> | |||
<td>3-13g<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>14L8s<br /> | |||
</td> | |||
<td>3\22 &lt; g &lt; 2\14<br /> | |||
</td> | |||
<td>g = 43\308<br /> | |||
</td> | |||
<td>3\22 &lt; g &lt; 5\36<br /> | |||
</td> | |||
<td>5\36 &lt; g &lt; 7\50<br /> | |||
</td> | |||
<td>7\50 &lt; g &lt; 9\64<br /> | |||
</td> | |||
<td>4g-1\2<br /> | |||
</td> | |||
<td>1-7g<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>15L7s<br /> | |||
</td> | |||
<td>19\22 &lt; g &lt; 13\15<br /> | |||
</td> | |||
<td>g = 571\660<br /> | |||
</td> | |||
<td>19\22 &lt; g &lt; 32\37<br /> | |||
</td> | |||
<td>32\37 &lt; g &lt; 45\52<br /> | |||
</td> | |||
<td>45\52 &lt; g &lt; 58\67<br /> | |||
</td> | |||
<td>7g-6<br /> | |||
</td> | |||
<td>13-15g<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>16L6s<br /> | |||
</td> | |||
<td>4\22 &lt; g &lt; 3\16<br /> | |||
</td> | |||
<td>g = 65\352<br /> | |||
</td> | |||
<td>4\22 &lt; g &lt; 7\38<br /> | |||
</td> | |||
<td>7\38 &lt; g &lt; 10\54<br /> | |||
</td> | |||
<td>10\54 &lt; g &lt; 13\70<br /> | |||
</td> | |||
<td>3g-1\2<br /> | |||
</td> | |||
<td>3\2-8g<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>17L5s<br /> | |||
</td> | |||
<td>9\22 &lt; g &lt; 7\17<br /> | |||
</td> | |||
<td>g = 207\748<br /> | |||
</td> | |||
<td>9\22 &lt; g &lt; 16\39<br /> | |||
</td> | |||
<td>16\39 &lt; g &lt; 23\56<br /> | |||
</td> | |||
<td>23\56 &lt; g &lt; 30\73<br /> | |||
</td> | |||
<td>5g-2<br /> | |||
</td> | |||
<td>7-17g<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>18L4s<br /> | |||
</td> | |||
<td>6\22 &lt; g &lt; 5\18<br /> | |||
</td> | |||
<td>g = 109\396<br /> | |||
</td> | |||
<td>6\22 &lt; g &lt; 11\40<br /> | |||
</td> | |||
<td>11\40 &lt; g &lt; 16\58<br /> | |||
</td> | |||
<td>16\58 &lt; g &lt; 21\76<br /> | |||
</td> | |||
<td>2g-1\2<br /> | |||
</td> | |||
<td>5\2-9g<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>19L3s<br /> | |||
</td> | |||
<td>15\22 &lt; g &lt; 13\19<br /> | |||
</td> | |||
<td>g = 571\836<br /> | |||
</td> | |||
<td>15\22 &lt; g &lt; 28\41<br /> | |||
</td> | |||
<td>28\41 &lt; g &lt; 41\60<br /> | |||
</td> | |||
<td>41\60 &lt; g &lt; 54\79<br /> | |||
</td> | |||
<td>3g-2<br /> | |||
</td> | |||
<td>13-19g+<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>20L2s<br /> | |||
</td> | |||
<td>1\22 &lt; g &lt; 1\20<br /> | |||
</td> | |||
<td>g = 21\440<br /> | |||
</td> | |||
<td>1\22 &lt; g &lt; 2\42<br /> | |||
</td> | |||
<td>2\42 &lt; g &lt; 3\62<br /> | |||
</td> | |||
<td>3\62 &lt; g &lt; 4\72<br /> | |||
</td> | |||
<td>g<br /> | |||
</td> | |||
<td>1\2-10g<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>21L1s<br /> | |||
</td> | |||
<td>1\22 &lt; g &lt; 1\21<br /> | |||
</td> | |||
<td>g = 43\924<br /> | |||
</td> | |||
<td>1\22 &lt; g &lt; 2\43<br /> | |||
</td> | |||
<td>2\43 &lt; g &lt; 3\64<br /> | |||
</td> | |||
<td>3\64 &lt; g &lt; 4\85<br /> | |||
</td> | |||
<td>g<br /> | |||
</td> | |||
<td>1-21g<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
</body></html></pre></div> | |||