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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | {{Infobox ET}} |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | '''32EDT''' is the [[Edt|equal division of the third harmonic]] into 32 parts of 59.4361 [[cent]]s each, corresponding to 20.1898 [[edo]]. It has a distinct sharp tendency, in the sense that if 3 is pure, 5, 7, 11, 13, 17, and 19 are all sharp. It tempers out 3125/3087 and 885735/823543 in the 7-limit; 891/875, 1331/1323, and 2475/2401 in the 11-limit; 275/273, 351/343, 729/715, and 847/845 in the 13-limit; 121/119, 189/187, 225/221, 459/455, and 845/833 in the 17-limit; 135/133, 171/169, 247/245, 325/323, and 363/361 in the 19-limit (no-twos subgroup). It is the eighth [[the Riemann zeta function and tuning#Removing primes|zeta peak tritave division]]. |
| : This revision was by author [[User:guest|guest]] and made on <tt>2012-05-09 13:00:22 UTC</tt>.<br>
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| : The original revision id was <tt>332560034</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| 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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| <h4>Original Wikitext content:</h4>
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| <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;white-space: pre-wrap ! important" class="old-revision-html">//32edt// means the division of 3, the tritave, into 32 equal parts of 59.436 cents each, corresponding to 20.190 edo. It has a distinct sharp tendency, in the sense that if 3 is pure, 5, 7, 11, 13 and 17 are all sharp. It tempers out 3125/3087 in the 7-limit, 891/875, 1331/1323 and 2475/2401 in the 11-limit, 275/273, 351/343, 729/714, 847/845 and 1575/1573 in the 13-limit, 121/119, 189/197 and 225/221 in the 17-limit. It is the eighth [[The Riemann Zeta Function and Tuning#Removing%20primes|zeta peak tritave division]].
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| =<span style="font-size: 1.4em;">Intervals</span>= | | == Harmonics == |
| || 1 || 59.43609¢ ||
| | {{Harmonics in equal |
| || 2 || 118.87219 || | | | steps = 32 |
| || 3 || 178.30828 || | | | num = 3 |
| || 4 || 237.74438 || | | | denom = 1 |
| || 5 || 297.18047 || | | | columns = 9 |
| || 6 || 356.61656 || | | | intervals = prime |
| || 7 || 416.05266 ||
| | }} |
| || 8 || 475.48875 ||
| | {{Harmonics in equal |
| || 9 || 534.92484 || | | | steps = 32 |
| || 10 || 594.36094 || | | | num = 3 |
| || 11 || 653.79703 || | | | denom = 1 |
| || 12 || 713.23312 || | | | start = 12 |
| || 13 || 772.66922 || | | | collapsed = 1 |
| || 14 || 832.10531 ||
| | | intervals = odd |
| || 15 || 891.54141 ||
| | }} |
| || 16 || 950.9775 ||
| |
| || 17 || 1010.41359 ||
| |
| || 18 || 1069.84969 ||
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| || 19 || 1129.28578 ||
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| || 20 || 1188.72188 ||
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| || 21 || 1248.15797 ||
| |
| || 22 || 1307.59406 ||
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| || 23 || 1367.03016 ||
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| || 24 || 1426.46625 ||
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| || 25 || 1485.90234 ||
| |
| || 26 || 1545.33844 ||
| |
| || 27 || 1604.77453 ||
| |
| || 28 || 1664.21063 ||
| |
| || 29 || 1723.64672 ||
| |
| || 30 || 1783.08281 ||
| |
| || 31 || 1842.51891 ||
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| || 32 || 1901.955 ||</pre></div> | |
| <h4>Original HTML content:</h4>
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| <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>32edt</title></head><body><em>32edt</em> means the division of 3, the tritave, into 32 equal parts of 59.436 cents each, corresponding to 20.190 edo. It has a distinct sharp tendency, in the sense that if 3 is pure, 5, 7, 11, 13 and 17 are all sharp. It tempers out 3125/3087 in the 7-limit, 891/875, 1331/1323 and 2475/2401 in the 11-limit, 275/273, 351/343, 729/714, 847/845 and 1575/1573 in the 13-limit, 121/119, 189/197 and 225/221 in the 17-limit. It is the eighth <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Removing%20primes">zeta peak tritave division</a>.<br />
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| <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Intervals"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="font-size: 1.4em;">Intervals</span></h1>
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| <table class="wiki_table">
| | == Intervals == |
| <tr>
| | {| class="wikitable" |
| <td>1<br />
| | |- |
| </td>
| | ! Step |
| <td>59.43609¢<br />
| | ! [[Cent]]s |
| </td>
| | ! [[Hekt]]s |
| </tr>
| | |- |
| <tr>
| | | 1 |
| <td>2<br />
| | | 59.436 |
| </td>
| | | 40.625 |
| <td>118.87219<br />
| | |- |
| </td>
| | | 2 |
| </tr>
| | | 118.872 |
| <tr>
| | | 81.25 |
| <td>3<br />
| | |- |
| </td>
| | | 3 |
| <td>178.30828<br />
| | | 178.308 |
| </td>
| | | 121.875 |
| </tr>
| | |- |
| <tr>
| | | 4 |
| <td>4<br />
| | | 237.744 |
| </td>
| | | 162.5 |
| <td>237.74438<br />
| | |- |
| </td>
| | | 5 |
| </tr>
| | | 297.180 |
| <tr>
| | | 203.125 |
| <td>5<br />
| | |- |
| </td>
| | | 6 |
| <td>297.18047<br />
| | | 356.617 |
| </td>
| | | 243.75 |
| </tr>
| | |- |
| <tr>
| | | 7 |
| <td>6<br />
| | | 416.053 |
| </td>
| | | 284.375 |
| <td>356.61656<br />
| | |- |
| </td>
| | | 8 |
| </tr>
| | | 475.489 |
| <tr>
| | | 325 |
| <td>7<br />
| | |- |
| </td>
| | | 9 |
| <td>416.05266<br />
| | | 534.925 |
| </td>
| | | 365.625 |
| </tr>
| | |- |
| <tr>
| | | 10 |
| <td>8<br />
| | | 594.361 |
| </td>
| | | 406.25 |
| <td>475.48875<br />
| | |- |
| </td>
| | | 11 |
| </tr>
| | | 653.797 |
| <tr>
| | | 446.875 |
| <td>9<br />
| | |- |
| </td>
| | | 12 |
| <td>534.92484<br />
| | | 713.233 |
| </td>
| | | 487.5 |
| </tr>
| | |- |
| <tr>
| | | 13 |
| <td>10<br />
| | | 772.669 |
| </td>
| | | 528.125 |
| <td>594.36094<br />
| | |- |
| </td>
| | | 14 |
| </tr>
| | | 832.105 |
| <tr>
| | | 568.75 |
| <td>11<br />
| | |- |
| </td>
| | | 15 |
| <td>653.79703<br />
| | | 891.541 |
| </td>
| | | 609.375 |
| </tr>
| | |- |
| <tr>
| | | 16 |
| <td>12<br />
| | | 950.978 |
| </td>
| | | 650 |
| <td>713.23312<br />
| | |- |
| </td>
| | | 17 |
| </tr>
| | | 1010.414 |
| <tr>
| | | 690.625 |
| <td>13<br />
| | |- |
| </td>
| | | 18 |
| <td>772.66922<br />
| | | 1069.85 |
| </td>
| | | 731.25 |
| </tr>
| | |- |
| <tr>
| | | 19 |
| <td>14<br />
| | | 1129.286 |
| </td>
| | | 774.875 |
| <td>832.10531<br />
| | |- |
| </td>
| | | 20 |
| </tr>
| | | 1188.722 |
| <tr>
| | | 812.5 |
| <td>15<br />
| | |- |
| </td>
| | | 21 |
| <td>891.54141<br />
| | | 1248.158 |
| </td>
| | | 853.125. |
| </tr>
| | |- |
| <tr>
| | | 22 |
| <td>16<br />
| | | 1307.594 |
| </td>
| | | 893.75 |
| <td>950.9775<br />
| | |- |
| </td>
| | | 23 |
| </tr>
| | | 1367.03 |
| <tr>
| | | 934.375 |
| <td>17<br />
| | |- |
| </td>
| | | 24 |
| <td>1010.41359<br />
| | | 1426.466 |
| </td>
| | | 975 |
| </tr>
| | |- |
| <tr>
| | | 25 |
| <td>18<br />
| | | 1485.902 |
| </td>
| | | 1015.625 |
| <td>1069.84969<br />
| | |- |
| </td>
| | | 26 |
| </tr>
| | | 1545.338 |
| <tr>
| | | 1056.25 |
| <td>19<br />
| | |- |
| </td>
| | | 27 |
| <td>1129.28578<br />
| | | 1604.775 |
| </td>
| | | 1096.875 |
| </tr>
| | |- |
| <tr>
| | | 28 |
| <td>20<br />
| | | 1664.211 |
| </td>
| | | 1137.5 |
| <td>1188.72188<br />
| | |- |
| </td>
| | | 29 |
| </tr>
| | | 1723.647 |
| <tr>
| | | 1178.125 |
| <td>21<br />
| | |- |
| </td>
| | | 30 |
| <td>1248.15797<br />
| | | 1783.083 |
| </td>
| | | 1218.75 |
| </tr>
| | |- |
| <tr>
| | | 31 |
| <td>22<br />
| | | 1842.519 |
| </td>
| | | 1259.375 |
| <td>1307.59406<br />
| | |- |
| </td>
| | | 32 |
| </tr>
| | | 1901.955 |
| <tr>
| | | 1300 |
| <td>23<br />
| | |} |
| </td>
| |
| <td>1367.03016<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>24<br />
| |
| </td>
| |
| <td>1426.46625<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>25<br />
| |
| </td>
| |
| <td>1485.90234<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>26<br />
| |
| </td>
| |
| <td>1545.33844<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>27<br />
| |
| </td>
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| <td>1604.77453<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
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| <td>28<br />
| |
| </td>
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| <td>1664.21063<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>29<br />
| |
| </td>
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| <td>1723.64672<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
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| <td>30<br />
| |
| </td>
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| <td>1783.08281<br />
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| </td>
| |
| </tr>
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| <tr>
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| <td>31<br />
| |
| </td>
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| <td>1842.51891<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
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| <td>32<br />
| |
| </td>
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| <td>1901.955<br />
| |
| </td>
| |
| </tr>
| |
| </table>
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|
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|
| </body></html></pre></div>
| | {{todo|expand}} |