23edf
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author toddiharrop and made on 2015-06-12 17:23:21 UTC.
- The original revision id was 553792278.
- The revision comment was:
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Original Wikitext content:
Twenty-three equal divisions of the perfect fifth (23ed3/2) Rank 1 scale with step size of 30.52 cents. Close to 39ed2 and/or 62ed3, however, the respective octave and/or twelfth would need to be nearly 10 cents flat. A proponent of this scale is Petr Pařízek. Some intervals in table below, selected on the basis of single-use of primes (for most cases): || **Step** || **Size (cents)** || **Approx. ratio** || **Error from ratio (cents)** || || 19 || 579.9 || 7/5 || –2.6¢ || || 23 || 702 || 3/2 || || || 24 || 732.5 || 29/19 || +0.4¢ || || 29 || 885.1 || 5/3 || +0.7¢ || || 31 || 946.1 || 19/11 || –0.1¢ || || 35 || 1068 || 13/7 || –3.5¢ || || 46 || 1404 || 9/4 || || || 48 || 1465 || 7/3 || –1.9¢ || || 52 || 1587 || 5/2 || +0.7¢ || || 55 || 1679 || 29/11 || +0.3¢ || || 58 || 1770 || 25/9 || +1.4¢ || || 71 || 2167 || 7/2 || –1.9¢ || || || || || || –Todd Harrop
Original HTML content:
<html><head><title>23edf</title></head><body>Twenty-three equal divisions of the perfect fifth (23ed3/2)<br />
<br />
Rank 1 scale with step size of 30.52 cents.<br />
Close to 39ed2 and/or 62ed3, however, the respective <br />
octave and/or twelfth would need to be nearly 10 cents flat.<br />
A proponent of this scale is Petr Pařízek.<br />
<br />
Some intervals in table below, selected on the basis of<br />
single-use of primes (for most cases):<br />
<table class="wiki_table">
<tr>
<td><strong>Step</strong><br />
</td>
<td><strong>Size (cents)</strong><br />
</td>
<td><strong>Approx. ratio</strong><br />
</td>
<td><strong>Error from ratio (cents)</strong><br />
</td>
</tr>
<tr>
<td>19<br />
</td>
<td>579.9<br />
</td>
<td>7/5<br />
</td>
<td>–2.6¢<br />
</td>
</tr>
<tr>
<td>23<br />
</td>
<td>702<br />
</td>
<td>3/2<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>24<br />
</td>
<td>732.5<br />
</td>
<td>29/19<br />
</td>
<td>+0.4¢<br />
</td>
</tr>
<tr>
<td>29<br />
</td>
<td>885.1<br />
</td>
<td>5/3<br />
</td>
<td>+0.7¢<br />
</td>
</tr>
<tr>
<td>31<br />
</td>
<td>946.1<br />
</td>
<td>19/11<br />
</td>
<td>–0.1¢<br />
</td>
</tr>
<tr>
<td>35<br />
</td>
<td>1068<br />
</td>
<td>13/7<br />
</td>
<td>–3.5¢<br />
</td>
</tr>
<tr>
<td>46<br />
</td>
<td>1404<br />
</td>
<td>9/4<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>48<br />
</td>
<td>1465<br />
</td>
<td>7/3<br />
</td>
<td>–1.9¢<br />
</td>
</tr>
<tr>
<td>52<br />
</td>
<td>1587<br />
</td>
<td>5/2<br />
</td>
<td>+0.7¢<br />
</td>
</tr>
<tr>
<td>55<br />
</td>
<td>1679<br />
</td>
<td>29/11<br />
</td>
<td>+0.3¢<br />
</td>
</tr>
<tr>
<td>58<br />
</td>
<td>1770<br />
</td>
<td>25/9<br />
</td>
<td>+1.4¢<br />
</td>
</tr>
<tr>
<td>71<br />
</td>
<td>2167<br />
</td>
<td>7/2<br />
</td>
<td>–1.9¢<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
</table>
–Todd Harrop</body></html>