5L 4s: Difference between revisions

Revision as of 16:22, 20 January 2013

IMPORTED REVISION FROM WIKISPACES

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This revision was by author keenanpepper and made on 2013-01-20 16:22:24 UTC.

The original revision id was 399960134.

The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

The familiar harmonic entropy minimum with this MOS pattern is [[meantone family#Godzilla|godzilla]], in which a generator is [[8_7|8/7]] or [[7_6|7/6]] (tempered to be the same interval, or even 37/32 if you like) so two of them make a [[4_3|4/3]]. However, in addition to godzilla (tempering out 81/80) and the 2.3.7 temperament [[Chromatic pairs#semaphore|semaphore]], there is also a weird scale called "[[pseudo-semaphore]]", in which two different flavors of [[3_2|3/2]] exist in the same scale: an octave minus two generators makes a sharp 3/2, and two octaves minus seven generators makes a flat 3/2.
||||||||||||||||||||||~ Generator ||~ Cents ||~ Comments ||
|| 1\5 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   || 240 ||=   ||
||   ||   ||   ||   ||   ||   ||   ||   ||   ||   || 12\59 || 244.068 ||= Pseudo-semaphore is around here ||
||   ||   ||   ||   ||   ||   ||   ||   ||   || 11\54 ||   || 244.444 ||=   ||
||   ||   ||   ||   ||   ||   ||   ||   || 10\49 ||   ||   || 244.898 ||=   ||
||   ||   ||   ||   ||   ||   ||   || 9\44 ||   ||   ||   || 245.455 ||=   ||
||   ||   ||   ||   ||   ||   || 8\39 ||   ||   ||   ||   || 246.154 ||=   ||
||   ||   ||   ||   ||   || 7\34 ||   ||   ||   ||   ||   || 247.059 ||=   ||
||   ||   ||   ||   || 6\29 ||   ||   ||   ||   ||   ||   || 248.276 ||=   ||
||   ||   ||   ||   ||   || 11\53 ||   ||   ||   ||   ||   || 249.057 ||= Semaphore is around here ||
||   ||   ||   || 5\24 ||   ||   ||   ||   ||   ||   ||   || 250 ||= L/s = 4 ||
||   ||   || 4\19 ||   ||   ||   ||   ||   ||   ||   ||   || 252.632 ||= Godzilla is around here
L/s = 3 ||
||   || 3\14 ||   ||   ||   ||   ||   ||   ||   ||   ||   || 257.143 ||= Boundary of propriety (generators
larger than this are proper) ||
||   ||   ||   || 8\37 ||   ||   ||   ||   ||   ||   ||   || 259.459 ||=   ||
||   ||   ||   ||   ||   || 21\97 ||   ||   ||   ||   ||   || 259.794 ||=   ||
||   ||   ||   ||   ||   ||   ||   || 55\254 ||   ||   ||   || 259.843 ||=   ||
||   ||   ||   ||   ||   ||   ||   ||   ||   || 144\665 ||   || 259.850 ||=   ||
||   ||   ||   ||   ||   ||   ||   ||   ||   ||   || 233\1076 || 259.851 ||= Golden [[superpelog]] ||
||   ||   ||   ||   ||   ||   ||   ||   || 89\411 ||   ||   || 259.854 ||=   ||
||   ||   ||   ||   ||   ||   || 34\157 ||   ||   ||   ||   || 259.873 ||=   ||
||   ||   ||   ||   || 13\60 ||   ||   ||   ||   ||   ||   || 260 ||=   ||
||   ||   || 5\23 ||   ||   ||   ||   ||   ||   ||   ||   || 260.870 ||= Optimum rank range (L/s=3/2) superpelog ||
||   ||   ||   || 7\32 ||   ||   ||   ||   ||   ||   ||   || 262.5 ||=   ||
||   ||   ||   ||   || 9\41 ||   ||   ||   ||   ||   ||   || 263.415 ||=   ||
||   ||   ||   ||   ||   || 11\50 ||   ||   ||   ||   ||   || 264 ||=   ||
||   ||   ||   ||   ||   ||   || 13\59 ||   ||   ||   ||   || 264.407 ||=   ||
||   ||   ||   ||   ||   ||   ||   || 15\68 ||   ||   ||   || 264.706 ||=   ||
||   ||   ||   ||   ||   ||   ||   ||   || 17\77 ||   ||   || 264.935 ||=   ||
||   ||   ||   ||   ||   ||   ||   ||   ||   || 19\86 ||   || 265.116 ||=   ||
||   ||   ||   ||   ||   ||   ||   ||   ||   ||   || 21\95 || 265.263 ||=   ||
|| 2\9 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   || 266.667 ||=   ||

Original HTML content:

<html><head><title>5L 4s</title></head><body>The familiar harmonic entropy minimum with this MOS pattern is <a class="wiki_link" href="/meantone%20family#Godzilla">godzilla</a>, in which a generator is <a class="wiki_link" href="/8_7">8/7</a> or <a class="wiki_link" href="/7_6">7/6</a> (tempered to be the same interval, or even 37/32 if you like) so two of them make a <a class="wiki_link" href="/4_3">4/3</a>. However, in addition to godzilla (tempering out 81/80) and the 2.3.7 temperament <a class="wiki_link" href="/Chromatic%20pairs#semaphore">semaphore</a>, there is also a weird scale called &quot;<a class="wiki_link" href="/pseudo-semaphore">pseudo-semaphore</a>&quot;, in which two different flavors of <a class="wiki_link" href="/3_2">3/2</a> exist in the same scale: an octave minus two generators makes a sharp 3/2, and two octaves minus seven generators makes a flat 3/2.<br />


<table class="wiki_table">
    <tr>
        <th colspan="11">Generator<br />
</th>
        <th>Cents<br />
</th>
        <th>Comments<br />
</th>
    </tr>
    <tr>
        <td>1\5<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>240<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>12\59<br />
</td>
        <td>244.068<br />
</td>
        <td style="text-align: center;">Pseudo-semaphore is around here<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>11\54<br />
</td>
        <td><br />
</td>
        <td>244.444<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>10\49<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>244.898<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>9\44<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>245.455<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>8\39<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>246.154<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>7\34<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>247.059<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>6\29<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>248.276<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>11\53<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>249.057<br />
</td>
        <td style="text-align: center;">Semaphore is around here<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>5\24<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>250<br />
</td>
        <td style="text-align: center;">L/s = 4<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>4\19<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>252.632<br />
</td>
        <td style="text-align: center;">Godzilla is around here<br />
L/s = 3<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>3\14<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>257.143<br />
</td>
        <td style="text-align: center;">Boundary of propriety (generators<br />
larger than this are proper)<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>8\37<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>259.459<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>21\97<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>259.794<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>55\254<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>259.843<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>144\665<br />
</td>
        <td><br />
</td>
        <td>259.850<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>233\1076<br />
</td>
        <td>259.851<br />
</td>
        <td style="text-align: center;">Golden <a class="wiki_link" href="/superpelog">superpelog</a><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>89\411<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>259.854<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>34\157<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>259.873<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>13\60<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>260<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>5\23<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>260.870<br />
</td>
        <td style="text-align: center;">Optimum rank range (L/s=3/2) superpelog<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>7\32<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>262.5<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>9\41<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>263.415<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>11\50<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>264<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>13\59<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>264.407<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>15\68<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>264.706<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>17\77<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>264.935<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>19\86<br />
</td>
        <td><br />
</td>
        <td>265.116<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>21\95<br />
</td>
        <td>265.263<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td>2\9<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>266.667<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
</table>

</body></html>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2012-11-25 21:27:28 UTC</tt>.<br>
+: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2013-01-20 16:22:24 UTC</tt>.<br>
-: The original revision id was <tt>385899584</tt>.<br>
+: The original revision id was <tt>399960134</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>
 <h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">The familiar harmonic entropy minimum with this MOS pattern is [[meantone family#Godzilla|godzilla]], in which a generator is [[8_7|8/7]] or [[7_6|7/6]] (tempered to be the same interval, or even 37/32 if you like) so two of them make a [[4_3|4/3]]. However, in addition to godzilla (tempering out 81/80) and the 2.3.7 temperament [[Chromatic pairs#semaphore|semaphore]], there is also a weird scale called "[[pseudo-semaphore]]", in which two different flavors of [[3_2|3/2]] exist in the same scale: an octave minus two generators makes a sharp 3/2, and two octaves minus seven generators makes a flat 3/2.
-||||||||||||||||||||||~ Generator ||~ Cents ||~ Comments ||~   ||
+||||||||||||||||||||||~ Generator ||~ Cents ||~ Comments ||
-|| 1\5 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   || 240 ||=   ||=   ||
+|| 1\5 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   || 240 ||=   ||
-||   ||   ||   ||   ||   ||   ||   ||   ||   ||   || 12\59 || 244.068 ||= Pseudo-semaphore is around here ||=   ||
+||   ||   ||   ||   ||   ||   ||   ||   ||   ||   || 12\59 || 244.068 ||= Pseudo-semaphore is around here ||
-||   ||   ||   ||   ||   ||   ||   ||   ||   || 11\54 ||   || 244.444 ||=   ||=   ||
+||   ||   ||   ||   ||   ||   ||   ||   ||   || 11\54 ||   || 244.444 ||=   ||
-||   ||   ||   ||   ||   ||   ||   ||   || 10\49 ||   ||   || 244.898 ||=   ||=   ||
+||   ||   ||   ||   ||   ||   ||   ||   || 10\49 ||   ||   || 244.898 ||=   ||
-||   ||   ||   ||   ||   ||   ||   || 9\44 ||   ||   ||   || 245.455 ||=   ||=   ||
+||   ||   ||   ||   ||   ||   ||   || 9\44 ||   ||   ||   || 245.455 ||=   ||
-||   ||   ||   ||   ||   ||   || 8\39 ||   ||   ||   ||   || 246.154 ||=   ||=   ||
+||   ||   ||   ||   ||   ||   || 8\39 ||   ||   ||   ||   || 246.154 ||=   ||
-||   ||   ||   ||   ||   || 7\34 ||   ||   ||   ||   ||   || 247.059 ||=   ||=   ||
+||   ||   ||   ||   ||   || 7\34 ||   ||   ||   ||   ||   || 247.059 ||=   ||
-||   ||   ||   ||   || 6\29 ||   ||   ||   ||   ||   ||   || 248.276 ||=   ||=   ||
+||   ||   ||   ||   || 6\29 ||   ||   ||   ||   ||   ||   || 248.276 ||=   ||
-||   ||   ||   ||   ||   || 11\53 ||   ||   ||   ||   ||   || 249.057 ||= Semaphore is around here ||=   ||
+||   ||   ||   ||   ||   || 11\53 ||   ||   ||   ||   ||   || 249.057 ||= Semaphore is around here ||
-||   ||   ||   || 5\24 ||   ||   ||   ||   ||   ||   ||   || 250 ||=   ||= L/s=4:
+||   ||   ||   || 5\24 ||   ||   ||   ||   ||   ||   ||   || 250 ||= L/s = 4 ||
-generators smaller than this are "impractical" ||
+||   ||   || 4\19 ||   ||   ||   ||   ||   ||   ||   ||   || 252.632 ||= Godzilla is around here
-||   ||   || 4\19 ||   ||   ||   ||   ||   ||   ||   ||   || 252.632 ||= Godzilla is around here ||= L/s=3:
+L/s = 3 ||
-generators smaller than this may be considered "impractical" ||
 ||   || 3\14 ||   ||   ||   ||   ||   ||   ||   ||   ||   || 257.143 ||= Boundary of propriety (generators
-larger than this are proper) ||=   ||
+larger than this are proper) ||
-||   ||   ||   || 8\37 ||   ||   ||   ||   ||   ||   ||   || 259.459 ||=   ||=   ||
+||   ||   ||   || 8\37 ||   ||   ||   ||   ||   ||   ||   || 259.459 ||=   ||
-||   ||   ||   ||   ||   || 21\97 ||   ||   ||   ||   ||   || 259.794 ||=   ||=   ||
+||   ||   ||   ||   ||   || 21\97 ||   ||   ||   ||   ||   || 259.794 ||=   ||
-||   ||   ||   ||   ||   ||   ||   || 55\254 ||   ||   ||   || 259.843 ||=   ||=   ||
+||   ||   ||   ||   ||   ||   ||   || 55\254 ||   ||   ||   || 259.843 ||=   ||
-||   ||   ||   ||   ||   ||   ||   ||   ||   || 144\665 ||   || 259.850 ||=   ||=   ||
+||   ||   ||   ||   ||   ||   ||   ||   ||   || 144\665 ||   || 259.850 ||=   ||
-||   ||   ||   ||   ||   ||   ||   ||   ||   ||   || 233\1076 || 259.851 ||= Golden [[superpelog]] ||=   ||
+||   ||   ||   ||   ||   ||   ||   ||   ||   ||   || 233\1076 || 259.851 ||= Golden [[superpelog]] ||
-||   ||   ||   ||   ||   ||   ||   ||   || 89\411 ||   ||   || 259.854 ||=   ||=   ||
+||   ||   ||   ||   ||   ||   ||   ||   || 89\411 ||   ||   || 259.854 ||=   ||
-||   ||   ||   ||   ||   ||   || 34\157 ||   ||   ||   ||   || 259.873 ||=   ||=   ||
+||   ||   ||   ||   ||   ||   || 34\157 ||   ||   ||   ||   || 259.873 ||=   ||
-||   ||   ||   ||   || 13\60 ||   ||   ||   ||   ||   ||   || 260 ||=   ||=   ||
+||   ||   ||   ||   || 13\60 ||   ||   ||   ||   ||   ||   || 260 ||=   ||
-||   ||   || 5\23 ||   ||   ||   ||   ||   ||   ||   ||   || 260.870 ||= Optimum rank range (L/s=3/2) superpelog ||=   ||
+||   ||   || 5\23 ||   ||   ||   ||   ||   ||   ||   ||   || 260.870 ||= Optimum rank range (L/s=3/2) superpelog ||
-||   ||   ||   || 7\32 ||   ||   ||   ||   ||   ||   ||   || 262.5 ||=   ||=   ||
+||   ||   ||   || 7\32 ||   ||   ||   ||   ||   ||   ||   || 262.5 ||=   ||
-||   ||   ||   ||   || 9\41 ||   ||   ||   ||   ||   ||   || 263.415 ||=   ||=   ||
+||   ||   ||   ||   || 9\41 ||   ||   ||   ||   ||   ||   || 263.415 ||=   ||
-||   ||   ||   ||   ||   || 11\50 ||   ||   ||   ||   ||   || 264 ||=   ||=   ||
+||   ||   ||   ||   ||   || 11\50 ||   ||   ||   ||   ||   || 264 ||=   ||
-||   ||   ||   ||   ||   ||   || 13\59 ||   ||   ||   ||   || 264.407 ||=   ||=   ||
+||   ||   ||   ||   ||   ||   || 13\59 ||   ||   ||   ||   || 264.407 ||=   ||
-||   ||   ||   ||   ||   ||   ||   || 15\68 ||   ||   ||   || 264.706 ||=   ||=   ||
+||   ||   ||   ||   ||   ||   ||   || 15\68 ||   ||   ||   || 264.706 ||=   ||
-||   ||   ||   ||   ||   ||   ||   ||   || 17\77 ||   ||   || 264.935 ||=   ||=   ||
+||   ||   ||   ||   ||   ||   ||   ||   || 17\77 ||   ||   || 264.935 ||=   ||
-||   ||   ||   ||   ||   ||   ||   ||   ||   || 19\86 ||   || 265.116 ||=   ||=   ||
+||   ||   ||   ||   ||   ||   ||   ||   ||   || 19\86 ||   || 265.116 ||=   ||
-||   ||   ||   ||   ||   ||   ||   ||   ||   ||   || 21\95 || 265.263 ||=   ||=   ||
+||   ||   ||   ||   ||   ||   ||   ||   ||   ||   || 21\95 || 265.263 ||=   ||
-|| 2\9 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   || 266.667 ||=   ||=   ||</pre></div>
+|| 2\9 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   || 266.667 ||=   ||</pre></div>
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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">&lt;html&gt;&lt;head&gt;&lt;title&gt;5L 4s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The familiar harmonic entropy minimum with this MOS pattern is &lt;a class="wiki_link" href="/meantone%20family#Godzilla"&gt;godzilla&lt;/a&gt;, in which a generator is &lt;a class="wiki_link" href="/8_7"&gt;8/7&lt;/a&gt; or &lt;a class="wiki_link" href="/7_6"&gt;7/6&lt;/a&gt; (tempered to be the same interval, or even 37/32 if you like) so two of them make a &lt;a class="wiki_link" href="/4_3"&gt;4/3&lt;/a&gt;. However, in addition to godzilla (tempering out 81/80) and the 2.3.7 temperament &lt;a class="wiki_link" href="/Chromatic%20pairs#semaphore"&gt;semaphore&lt;/a&gt;, there is also a weird scale called &amp;quot;&lt;a class="wiki_link" href="/pseudo-semaphore"&gt;pseudo-semaphore&lt;/a&gt;&amp;quot;, in which two different flavors of &lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt; exist in the same scale: an octave minus two generators makes a sharp 3/2, and two octaves minus seven generators makes a flat 3/2.&lt;br /&gt;
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          &lt;td style="text-align: center;"&gt;Pseudo-semaphore is around here&lt;br /&gt;
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          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
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          &lt;td&gt;245.455&lt;br /&gt;
-&lt;/td&gt;
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          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
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          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
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          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
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 &lt;/td&gt;
          &lt;td&gt;248.276&lt;br /&gt;
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-        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
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          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
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          &lt;td style="text-align: center;"&gt;Semaphore is around here&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
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          &lt;td&gt;250&lt;br /&gt;
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-        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;L/s = 4&lt;br /&gt;
-&lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;L/s=4:&lt;br /&gt;
-generators smaller than this are &amp;quot;impractical&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
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@@ Line 383: / Line 359: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;Godzilla is around here&lt;br /&gt;
-&lt;/td&gt;
+L/s = 3&lt;br /&gt;
-        &lt;td style="text-align: center;"&gt;L/s=3:&lt;br /&gt;
-generators smaller than this may be considered &amp;quot;impractical&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 415: / Line 389: @@
          &lt;td style="text-align: center;"&gt;Boundary of propriety (generators&lt;br /&gt;
 larger than this are proper)&lt;br /&gt;
-&lt;/td&gt;
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          &lt;td&gt;259.459&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
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          &lt;td&gt;259.794&lt;br /&gt;
-&lt;/td&gt;
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-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
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          &lt;td style="text-align: center;"&gt;Golden &lt;a class="wiki_link" href="/superpelog"&gt;superpelog&lt;/a&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
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          &lt;td&gt;259.873&lt;br /&gt;
-&lt;/td&gt;
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          &lt;td style="text-align: center;"&gt;Optimum rank range (L/s=3/2) superpelog&lt;br /&gt;
-&lt;/td&gt;
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5L 4s: Difference between revisions

Revision as of 16:22, 20 January 2013

IMPORTED REVISION FROM WIKISPACES

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