List of 47-odd-limit intervals: Difference between revisions
Wikispaces>Andrew_Heathwaite **Imported revision 463113976 - Original comment: ** |
Wikispaces>Andrew_Heathwaite **Imported revision 463125434 - 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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2013-10-25 13: | : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2013-10-25 13:59:33 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>463125434</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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|| 34/31 || 159.920 || 31 || | || 34/31 || 159.920 || 31 || | ||
===Large Central Seconds (160-170 cents)=== | ===Large Central Seconds (160-170 cents)=== | ||
Beginning of Equable Heptatonic Region (160-182 cents) | ====Beginning of Equable Heptatonic Region (160-182 cents)==== | ||
||~ ratio ||~ cents value ||~ prime limit || | ||~ ratio ||~ cents value ||~ prime limit || | ||
|| 45/41 || 161.161 || 41 || | || 45/41 || 161.161 || 41 || | ||
|| 11/10 = 33/30 || 165.004 || 11 || | || 11/10 = 33/30 || 165.004 || 11 || | ||
|| 43/39 || 169.035 || 43 || | || 43/39 || 169.035 || 43 || | ||
End of Large Central Seconds Region, continuation of Equable Heptatonic Region | ====End of Large Central Seconds Region, continuation of Equable Heptatonic Region==== | ||
||~ ratio ||~ cents value ||~ prime limit || | ||~ ratio ||~ cents value ||~ prime limit || | ||
|| 32/29 || 170.423 || 29 || | || 32/29 || 170.423 || 29 || | ||
Line 108: | Line 108: | ||
|| 31/28 || 176.210 || 31 || | || 31/28 || 176.210 || 31 || | ||
|| 41/37 || 177.718 || 41 || | || 41/37 || 177.718 || 41 || | ||
End of Equable Heptatonic Region. | ====End of Equable Heptatonic Region.==== | ||
==Major Seconds (180-240 cents)== | ==Major Seconds (180-240 cents)== | ||
===Small Major Seconds (180-200 cents)=== | |||
||~ ratio ||~ cents value ||~ prime limit || | |||
|| 10/9 = 30/27 = 50/45 || 182.404 || 5 || | |||
|| 39/35 || 187.343 || 13 || | |||
|| 29/26 || 189.050 || 29 || | |||
|| 19/17 || 192.558 || 19 || | |||
|| 47/42 || 194.726 || 47 || | |||
|| 28/25 || 196.198 || 7 || | |||
|| 37/33 || 198.071 || 37 || | |||
|| 46/41 || 199.212 || 41 || | |||
===Middle Major Seconds (200-220 cents)=== | |||
||~ ratio ||~ cents value ||~ prime limit || | |||
|| 9/8 = 27/24 = 45/40 || 203.910 || 3 || | |||
|| 44/39 || 208.835 || 13 || | |||
|| 35/31 || 210.104 || 31 || | |||
|| 26/23 || 212.253 || 23 || | |||
|| 43/38 || 214.005 || 43 || | |||
|| 17/15 || 216.687 || 17 || | |||
|| 42/37 || 219.437 || 37 || | |||
===Large Major Seconds (220-240 cents)=== | |||
||~ ratio ||~ cents value ||~ prime limit || | |||
|| 25/22 || 221.309 || 11 || | |||
|| 33/29 || 223.696 || 29 || | |||
|| 41/36 || 225.152 || 41 || | |||
|| 8/7 = 24/21 = 40/35 || 231.174 || 7 || | |||
|| 47/41 || 236.444 || 47 || | |||
|| 39/34 || 237.527 || 17 || | |||
|| 31/27 || 239.171 || 31 || | |||
==Interseptimal Region (M2-m3) (240-260 cents)== | |||
||~ ratio ||~ cents value ||~ prime limit || | |||
|| 54/47 || 240.358 || 47 || | |||
|| 23/20 || 241.961 || 23 || | |||
|| 38/33 || 244.240 || 19 || | |||
|| 15/13 = 45/39 || 247.741 || 13 || | |||
|| 52/45 || 250.304 || 13 || | |||
|| 37/32 || 251.344 || 37 || | |||
|| 22/19 || 253.805 || 19 || | |||
|| 29/25 || 256.950 || 29 || | |||
|| 36/31 || 258.874 || 31 || | |||
== == | |||
==Minor Thirds (260-330 cents)== | |||
===Small Minor Thirds (260-280 cents)=== | |||
||~ ratio ||~ cents value ||~ prime limit || | |||
|| 43/37 || 260.174 || 43 || | |||
|| 50/43 || 261.110 || 43 || | |||
|| 7/6 = 21/18 = 35/30 || 266.871 || 7 || | |||
|| 48/41 || 272.893 || 41 || | |||
|| 41/35 || 273.923 || 41 || | |||
|| 34/29 || 275.378 || 29 || | |||
|| 27/23 || 277.591 || 23 || | |||
|| 47/40 || 279.193 || 47 || | |||
===Middle Minor Thirds (280-300 cents)=== | |||
||~ ratio ||~ cents value ||~ prime limit || | |||
|| 20/17 || 281.358 || 17 || | |||
|| 33/28 || 284.447 || 11 || | |||
|| 46/39 || 285.792 || 23 || | |||
|| 13/11 = 39/33 || 289.210 || 13 || | |||
|| 45/38 || 292.711 || 19 || | |||
|| 32/27 || 294.135 || 3 || | |||
|| 19/16 || 297.513 || 19 || | |||
|| 44/37 || 299.974 || 37 || | |||
===Large Minor Thirds (300-330 cents)=== | |||
||~ ratio ||~ cents value ||~ prime limit || | |||
|| 25/21 || 301.847 || 7 || | |||
|| 56/47 || 303.319 || 47 || | |||
|| 31/26 || 304.508 || 31 || | |||
|| 37/31 || 306.308 || 37 || | |||
|| 43/36 || 307.608 || 43 || | |||
|| 6/5 = 18/15 = 30/25 = 42/35 = 54/45 || 315.641 || 5 || | |||
|| 47/39 || 323.024 || 47 || | |||
|| 41/34 || 324.107 || 41 || | |||
|| 35/29 || 325.562 || 29 || | |||
|| 29/24 || 327.622 || 29 || | |||
|| 52/43 || 329.010 || 43 || | |||
== == | |||
==Central or Zalzalian Thirds (formerly Neutral Thirds) (330-372 cents)== | |||
===Small Central Thirds (330-342 cents)=== | |||
||~ ratio ||~ cents value ||~ prime limit || | |||
|| 23/19 || 330.761 || 23 || | |||
|| 40/33 || 333.041 || 11 || | |||
|| 17/14 || 336.130 || 17 || | |||
|| 45/37 || 338.880 || 37 || | |||
|| 28/23 || 340.552 || 23 || | |||
===Middle Central Thirds (342-360 cents)=== | |||
||~ ratio ||~ cents value ||~ prime limit || | |||
|| 39/32 || 342.483 || 13 || | |||
|| 50/41 || 343.565 || 41 || | |||
|| 11/9 = 33/27 || 347.408 || 11 || | |||
|| 38/31 || 352.477 || 31 || | |||
|| 27/22 || 354.547 || 11 || | |||
|| 43/35 || 356.378 || 43 || | |||
|| 16/13 = 48/39 || 359.472 || 13 || | |||
===Large Central Thirds (360-372 cents)=== | |||
||~ ratio ||~ cents value ||~ prime limit || | |||
|| 37/30 || 363.075 || 37 || | |||
|| 58/47 || 364.071 || 47 || | |||
|| 21/17 || 365.825 || 17 || | |||
|| 47/38 || 367.994 || 47 || | |||
|| 26/21 || 369.747 || 13 || | |||
to be continued</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>47-limit</title></head><body>The 47-limit. Whoa.<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>47-limit</title></head><body>The 47-limit. Whoa.<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:20:&lt;h3&gt; --><h3 id="toc10"><a name="x-Central or Zalzalian Seconds (formerly Neutral Seconds) (125-170 cents)-Large Central Seconds (160-170 cents)"></a><!-- ws:end:WikiTextHeadingRule:20 -->Large Central Seconds (160-170 cents)</h3> | <!-- ws:start:WikiTextHeadingRule:20:&lt;h3&gt; --><h3 id="toc10"><a name="x-Central or Zalzalian Seconds (formerly Neutral Seconds) (125-170 cents)-Large Central Seconds (160-170 cents)"></a><!-- ws:end:WikiTextHeadingRule:20 -->Large Central Seconds (160-170 cents)</h3> | ||
Beginning of Equable Heptatonic Region (160-182 cents)< | <!-- ws:start:WikiTextHeadingRule:22:&lt;h4&gt; --><h4 id="toc11"><a name="x-Central or Zalzalian Seconds (formerly Neutral Seconds) (125-170 cents)-Large Central Seconds (160-170 cents)-Beginning of Equable Heptatonic Region (160-182 cents)"></a><!-- ws:end:WikiTextHeadingRule:22 -->Beginning of Equable Heptatonic Region (160-182 cents)</h4> | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
Line 762: | Line 862: | ||
</table> | </table> | ||
End of Large Central Seconds Region, continuation of Equable Heptatonic Region< | <!-- ws:start:WikiTextHeadingRule:24:&lt;h4&gt; --><h4 id="toc12"><a name="x-Central or Zalzalian Seconds (formerly Neutral Seconds) (125-170 cents)-Large Central Seconds (160-170 cents)-End of Large Central Seconds Region, continuation of Equable Heptatonic Region"></a><!-- ws:end:WikiTextHeadingRule:24 -->End of Large Central Seconds Region, continuation of Equable Heptatonic Region</h4> | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
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</table> | </table> | ||
End of Equable Heptatonic Region.<br /> | <!-- ws:start:WikiTextHeadingRule:26:&lt;h4&gt; --><h4 id="toc13"><a name="x-Central or Zalzalian Seconds (formerly Neutral Seconds) (125-170 cents)-Large Central Seconds (160-170 cents)-End of Equable Heptatonic Region."></a><!-- ws:end:WikiTextHeadingRule:26 -->End of Equable Heptatonic Region.</h4> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:28:&lt;h2&gt; --><h2 id="toc14"><a name="x-Major Seconds (180-240 cents)"></a><!-- ws:end:WikiTextHeadingRule:28 -->Major Seconds (180-240 cents)</h2> | |||
<!-- ws:start:WikiTextHeadingRule:30:&lt;h3&gt; --><h3 id="toc15"><a name="x-Major Seconds (180-240 cents)-Small Major Seconds (180-200 cents)"></a><!-- ws:end:WikiTextHeadingRule:30 -->Small Major Seconds (180-200 cents)</h3> | |||
<table class="wiki_table"> | |||
<tr> | |||
<th>ratio<br /> | |||
</th> | |||
<th>cents value<br /> | |||
</th> | |||
<th>prime limit<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td>10/9 = 30/27 = 50/45<br /> | |||
</td> | |||
<td>182.404<br /> | |||
</td> | |||
<td>5<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>39/35<br /> | |||
</td> | |||
<td>187.343<br /> | |||
</td> | |||
<td>13<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>29/26<br /> | |||
</td> | |||
<td>189.050<br /> | |||
</td> | |||
<td>29<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>19/17<br /> | |||
</td> | |||
<td>192.558<br /> | |||
</td> | |||
<td>19<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>47/42<br /> | |||
</td> | |||
<td>194.726<br /> | |||
</td> | |||
<td>47<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>28/25<br /> | |||
</td> | |||
<td>196.198<br /> | |||
</td> | |||
<td>7<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>37/33<br /> | |||
</td> | |||
<td>198.071<br /> | |||
</td> | |||
<td>37<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>46/41<br /> | |||
</td> | |||
<td>199.212<br /> | |||
</td> | |||
<td>41<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<!-- ws:start:WikiTextHeadingRule:32:&lt;h3&gt; --><h3 id="toc16"><a name="x-Major Seconds (180-240 cents)-Middle Major Seconds (200-220 cents)"></a><!-- ws:end:WikiTextHeadingRule:32 -->Middle Major Seconds (200-220 cents)</h3> | |||
<table class="wiki_table"> | |||
<tr> | |||
<th>ratio<br /> | |||
</th> | |||
<th>cents value<br /> | |||
</th> | |||
<th>prime limit<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td>9/8 = 27/24 = 45/40<br /> | |||
</td> | |||
<td>203.910<br /> | |||
</td> | |||
<td>3<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>44/39<br /> | |||
</td> | |||
<td>208.835<br /> | |||
</td> | |||
<td>13<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>35/31<br /> | |||
</td> | |||
<td>210.104<br /> | |||
</td> | |||
<td>31<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>26/23<br /> | |||
</td> | |||
<td>212.253<br /> | |||
</td> | |||
<td>23<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>43/38<br /> | |||
</td> | |||
<td>214.005<br /> | |||
</td> | |||
<td>43<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>17/15<br /> | |||
</td> | |||
<td>216.687<br /> | |||
</td> | |||
<td>17<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>42/37<br /> | |||
</td> | |||
<td>219.437<br /> | |||
</td> | |||
<td>37<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<!-- ws:start:WikiTextHeadingRule:34:&lt;h3&gt; --><h3 id="toc17"><a name="x-Major Seconds (180-240 cents)-Large Major Seconds (220-240 cents)"></a><!-- ws:end:WikiTextHeadingRule:34 -->Large Major Seconds (220-240 cents)</h3> | |||
<table class="wiki_table"> | |||
<tr> | |||
<th>ratio<br /> | |||
</th> | |||
<th>cents value<br /> | |||
</th> | |||
<th>prime limit<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td>25/22<br /> | |||
</td> | |||
<td>221.309<br /> | |||
</td> | |||
<td>11<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>33/29<br /> | |||
</td> | |||
<td>223.696<br /> | |||
</td> | |||
<td>29<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>41/36<br /> | |||
</td> | |||
<td>225.152<br /> | |||
</td> | |||
<td>41<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>8/7 = 24/21 = 40/35<br /> | |||
</td> | |||
<td>231.174<br /> | |||
</td> | |||
<td>7<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>47/41<br /> | |||
</td> | |||
<td>236.444<br /> | |||
</td> | |||
<td>47<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>39/34<br /> | |||
</td> | |||
<td>237.527<br /> | |||
</td> | |||
<td>17<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>31/27<br /> | |||
</td> | |||
<td>239.171<br /> | |||
</td> | |||
<td>31<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<!-- ws:start:WikiTextHeadingRule:36:&lt;h2&gt; --><h2 id="toc18"><a name="x-Interseptimal Region (M2-m3) (240-260 cents)"></a><!-- ws:end:WikiTextHeadingRule:36 -->Interseptimal Region (M2-m3) (240-260 cents)</h2> | |||
<table class="wiki_table"> | |||
<tr> | |||
<th>ratio<br /> | |||
</th> | |||
<th>cents value<br /> | |||
</th> | |||
<th>prime limit<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td>54/47<br /> | |||
</td> | |||
<td>240.358<br /> | |||
</td> | |||
<td>47<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>23/20<br /> | |||
</td> | |||
<td>241.961<br /> | |||
</td> | |||
<td>23<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>38/33<br /> | |||
</td> | |||
<td>244.240<br /> | |||
</td> | |||
<td>19<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>15/13 = 45/39<br /> | |||
</td> | |||
<td>247.741<br /> | |||
</td> | |||
<td>13<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>52/45<br /> | |||
</td> | |||
<td>250.304<br /> | |||
</td> | |||
<td>13<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>37/32<br /> | |||
</td> | |||
<td>251.344<br /> | |||
</td> | |||
<td>37<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>22/19<br /> | |||
</td> | |||
<td>253.805<br /> | |||
</td> | |||
<td>19<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>29/25<br /> | |||
</td> | |||
<td>256.950<br /> | |||
</td> | |||
<td>29<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>36/31<br /> | |||
</td> | |||
<td>258.874<br /> | |||
</td> | |||
<td>31<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><!-- ws:end:WikiTextHeadingRule:38 --> </h2> | |||
<!-- ws:start:WikiTextHeadingRule:40:&lt;h2&gt; --><h2 id="toc20"><a name="x-Minor Thirds (260-330 cents)"></a><!-- ws:end:WikiTextHeadingRule:40 -->Minor Thirds (260-330 cents)</h2> | |||
<!-- ws:start:WikiTextHeadingRule:42:&lt;h3&gt; --><h3 id="toc21"><a name="x-Minor Thirds (260-330 cents)-Small Minor Thirds (260-280 cents)"></a><!-- ws:end:WikiTextHeadingRule:42 -->Small Minor Thirds (260-280 cents)</h3> | |||
<table class="wiki_table"> | |||
<tr> | |||
<th>ratio<br /> | |||
</th> | |||
<th>cents value<br /> | |||
</th> | |||
<th>prime limit<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td>43/37<br /> | |||
</td> | |||
<td>260.174<br /> | |||
</td> | |||
<td>43<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>50/43<br /> | |||
</td> | |||
<td>261.110<br /> | |||
</td> | |||
<td>43<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>7/6 = 21/18 = 35/30<br /> | |||
</td> | |||
<td>266.871<br /> | |||
</td> | |||
<td>7<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>48/41<br /> | |||
</td> | |||
<td>272.893<br /> | |||
</td> | |||
<td>41<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>41/35<br /> | |||
</td> | |||
<td>273.923<br /> | |||
</td> | |||
<td>41<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>34/29<br /> | |||
</td> | |||
<td>275.378<br /> | |||
</td> | |||
<td>29<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>27/23<br /> | |||
</td> | |||
<td>277.591<br /> | |||
</td> | |||
<td>23<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>47/40<br /> | |||
</td> | |||
<td>279.193<br /> | |||
</td> | |||
<td>47<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<!-- ws:start:WikiTextHeadingRule:44:&lt;h3&gt; --><h3 id="toc22"><a name="x-Minor Thirds (260-330 cents)-Middle Minor Thirds (280-300 cents)"></a><!-- ws:end:WikiTextHeadingRule:44 -->Middle Minor Thirds (280-300 cents)</h3> | |||
<table class="wiki_table"> | |||
<tr> | |||
<th>ratio<br /> | |||
</th> | |||
<th>cents value<br /> | |||
</th> | |||
<th>prime limit<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td>20/17<br /> | |||
</td> | |||
<td>281.358<br /> | |||
</td> | |||
<td>17<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>33/28<br /> | |||
</td> | |||
<td>284.447<br /> | |||
</td> | |||
<td>11<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>46/39<br /> | |||
</td> | |||
<td>285.792<br /> | |||
</td> | |||
<td>23<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>13/11 = 39/33<br /> | |||
</td> | |||
<td>289.210<br /> | |||
</td> | |||
<td>13<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>45/38<br /> | |||
</td> | |||
<td>292.711<br /> | |||
</td> | |||
<td>19<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>32/27<br /> | |||
</td> | |||
<td>294.135<br /> | |||
</td> | |||
<td>3<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>19/16<br /> | |||
</td> | |||
<td>297.513<br /> | |||
</td> | |||
<td>19<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>44/37<br /> | |||
</td> | |||
<td>299.974<br /> | |||
</td> | |||
<td>37<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<!-- ws:start:WikiTextHeadingRule:46:&lt;h3&gt; --><h3 id="toc23"><a name="x-Minor Thirds (260-330 cents)-Large Minor Thirds (300-330 cents)"></a><!-- ws:end:WikiTextHeadingRule:46 -->Large Minor Thirds (300-330 cents)</h3> | |||
<table class="wiki_table"> | |||
<tr> | |||
<th>ratio<br /> | |||
</th> | |||
<th>cents value<br /> | |||
</th> | |||
<th>prime limit<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td>25/21<br /> | |||
</td> | |||
<td>301.847<br /> | |||
</td> | |||
<td>7<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>56/47<br /> | |||
</td> | |||
<td>303.319<br /> | |||
</td> | |||
<td>47<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>31/26<br /> | |||
</td> | |||
<td>304.508<br /> | |||
</td> | |||
<td>31<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>37/31<br /> | |||
</td> | |||
<td>306.308<br /> | |||
</td> | |||
<td>37<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>43/36<br /> | |||
</td> | |||
<td>307.608<br /> | |||
</td> | |||
<td>43<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>6/5 = 18/15 = 30/25 = 42/35 = 54/45<br /> | |||
</td> | |||
<td>315.641<br /> | |||
</td> | |||
<td>5<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>47/39<br /> | |||
</td> | |||
<td>323.024<br /> | |||
</td> | |||
<td>47<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>41/34<br /> | |||
</td> | |||
<td>324.107<br /> | |||
</td> | |||
<td>41<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>35/29<br /> | |||
</td> | |||
<td>325.562<br /> | |||
</td> | |||
<td>29<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>29/24<br /> | |||
</td> | |||
<td>327.622<br /> | |||
</td> | |||
<td>29<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>52/43<br /> | |||
</td> | |||
<td>329.010<br /> | |||
</td> | |||
<td>43<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<!-- ws:start:WikiTextHeadingRule:48:&lt;h2&gt; --><h2 id="toc24"><!-- ws:end:WikiTextHeadingRule:48 --> </h2> | |||
<!-- ws:start:WikiTextHeadingRule:50:&lt;h2&gt; --><h2 id="toc25"><a name="x-Central or Zalzalian Thirds (formerly Neutral Thirds) (330-372 cents)"></a><!-- ws:end:WikiTextHeadingRule:50 -->Central or Zalzalian Thirds (formerly Neutral Thirds) (330-372 cents)</h2> | |||
<!-- ws:start:WikiTextHeadingRule:52:&lt;h3&gt; --><h3 id="toc26"><a name="x-Central or Zalzalian Thirds (formerly Neutral Thirds) (330-372 cents)-Small Central Thirds (330-342 cents)"></a><!-- ws:end:WikiTextHeadingRule:52 -->Small Central Thirds (330-342 cents)</h3> | |||
<table class="wiki_table"> | |||
<tr> | |||
<th>ratio<br /> | |||
</th> | |||
<th>cents value<br /> | |||
</th> | |||
<th>prime limit<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td>23/19<br /> | |||
</td> | |||
<td>330.761<br /> | |||
</td> | |||
<td>23<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>40/33<br /> | |||
</td> | |||
<td>333.041<br /> | |||
</td> | |||
<td>11<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>17/14<br /> | |||
</td> | |||
<td>336.130<br /> | |||
</td> | |||
<td>17<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>45/37<br /> | |||
</td> | |||
<td>338.880<br /> | |||
</td> | |||
<td>37<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>28/23<br /> | |||
</td> | |||
<td>340.552<br /> | |||
</td> | |||
<td>23<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<!-- ws:start:WikiTextHeadingRule:54:&lt;h3&gt; --><h3 id="toc27"><a name="x-Central or Zalzalian Thirds (formerly Neutral Thirds) (330-372 cents)-Middle Central Thirds (342-360 cents)"></a><!-- ws:end:WikiTextHeadingRule:54 -->Middle Central Thirds (342-360 cents)</h3> | |||
<table class="wiki_table"> | |||
<tr> | |||
<th>ratio<br /> | |||
</th> | |||
<th>cents value<br /> | |||
</th> | |||
<th>prime limit<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td>39/32<br /> | |||
</td> | |||
<td>342.483<br /> | |||
</td> | |||
<td>13<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>50/41<br /> | |||
</td> | |||
<td>343.565<br /> | |||
</td> | |||
<td>41<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>11/9 = 33/27<br /> | |||
</td> | |||
<td>347.408<br /> | |||
</td> | |||
<td>11<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>38/31<br /> | |||
</td> | |||
<td>352.477<br /> | |||
</td> | |||
<td>31<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>27/22<br /> | |||
</td> | |||
<td>354.547<br /> | |||
</td> | |||
<td>11<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>43/35<br /> | |||
</td> | |||
<td>356.378<br /> | |||
</td> | |||
<td>43<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>16/13 = 48/39<br /> | |||
</td> | |||
<td>359.472<br /> | |||
</td> | |||
<td>13<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<!-- ws:start:WikiTextHeadingRule:56:&lt;h3&gt; --><h3 id="toc28"><a name="x-Central or Zalzalian Thirds (formerly Neutral Thirds) (330-372 cents)-Large Central Thirds (360-372 cents)"></a><!-- ws:end:WikiTextHeadingRule:56 -->Large Central Thirds (360-372 cents)</h3> | |||
<table class="wiki_table"> | |||
<tr> | |||
<th>ratio<br /> | |||
</th> | |||
<th>cents value<br /> | |||
</th> | |||
<th>prime limit<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td>37/30<br /> | |||
</td> | |||
<td>363.075<br /> | |||
</td> | |||
<td>37<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>58/47<br /> | |||
</td> | |||
<td>364.071<br /> | |||
</td> | |||
<td>47<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>21/17<br /> | |||
</td> | |||
<td>365.825<br /> | |||
</td> | |||
<td>17<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>47/38<br /> | |||
</td> | |||
<td>367.994<br /> | |||
</td> | |||
<td>47<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>26/21<br /> | |||
</td> | |||
<td>369.747<br /> | |||
</td> | |||
<td>13<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<br /> | <br /> | ||
to be continued</body></html></pre></div> | |||