2L 3s: Difference between revisions
Wikispaces>keenanpepper **Imported revision 222375264 - Original comment: ** |
Wikispaces>keenanpepper **Imported revision 222564594 - Original comment: ** |
||
| Line 1: | Line 1: | ||
<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:keenanpepper|keenanpepper]] and made on <tt>2011-04- | : This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-04-24 19:27:29 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>222564594</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> | ||
| Line 18: | Line 18: | ||
|| || || || || 12\29 || || 496.55 || 7 5 5 7 5 || || | || || || || || 12\29 || || 496.55 || 7 5 5 7 5 || || | ||
|| || || || || || 17\41 || 497.56 || 10 7 7 10 7 ||= Pythagorean pentatonic is around here || | || || || || || || 17\41 || 497.56 || 10 7 7 10 7 ||= Pythagorean pentatonic is around here || | ||
|| || || 5\12 || || || || 500 || 3 2 2 3 2 ||= Familiar 12-equal pentatonic || | || || || 5\12 || || || || 500 || 3 2 2 3 2 ||= Familiar 12-equal pentatonic | ||
(Also boundary of propriety: | |||
smaller generators are strictly proper) || | |||
|| || || || || 13\31 || || 503.23 || 8 5 5 8 5 ||= Optimal meantone pentatonic | || || || || || 13\31 || || 503.23 || 8 5 5 8 5 ||= Optimal meantone pentatonic | ||
is around here || | is around here || | ||
| Line 33: | Line 35: | ||
From a [[5-limit]] perspective, the most interesting temperaments with this kind of pentatonic scale are [[meantone]] and [[Pelogic famiy|mavila]]. | From a [[5-limit]] perspective, the most interesting temperaments with this kind of pentatonic scale are [[meantone]] and [[Pelogic famiy|mavila]]. | ||
There is also the interesting 2.3.7 temperament that tempers out [[64_63|64/63]] ("no-fives [[dominant]]"). | There is also the interesting 2.3.7 temperament that tempers out [[64_63|64/63]] ("no-fives [[dominant]]").</pre></div> | ||
</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>2L 3s</title></head><body>&quot;Classic&quot; <a class="wiki_link" href="/pentatonic">pentatonic</a>. Perhaps the most common scale in the world.<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>2L 3s</title></head><body>&quot;Classic&quot; <a class="wiki_link" href="/pentatonic">pentatonic</a>. Perhaps the most common scale in the world.<br /> | ||
| Line 211: | Line 212: | ||
</td> | </td> | ||
<td style="text-align: center;">Familiar 12-equal pentatonic<br /> | <td style="text-align: center;">Familiar 12-equal pentatonic<br /> | ||
(Also boundary of propriety:<br /> | |||
smaller generators are strictly proper)<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||