5L 4s
IMPORTED REVISION FROM WIKISPACES
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- The original revision id was 385899584.
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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: generators smaller than this are "impractical" || || || || 4\19 || || || || || || || || || 252.632 ||= Godzilla is around here ||= L/s=3: generators smaller than this may be considered "impractical" || || || 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 "<a class="wiki_link" href="/pseudo-semaphore">pseudo-semaphore</a>", 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>
<th><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>
<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>
<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>11\54<br />
</td>
<td><br />
</td>
<td>244.444<br />
</td>
<td style="text-align: center;"><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>
<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>
<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>
<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>
<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>
<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>
<td style="text-align: center;"><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;"><br />
</td>
<td style="text-align: center;">L/s=4:<br />
generators smaller than this are "impractical"<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 />
</td>
<td style="text-align: center;">L/s=3:<br />
generators smaller than this may be considered "impractical"<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>
<td style="text-align: center;"><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>
<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>
<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>
<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>
<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>
<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>89\411<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>259.854<br />
</td>
<td style="text-align: center;"><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>
<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>
<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>
<td style="text-align: center;"><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>
<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>
<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>
<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>
<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>
<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>
<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>
<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>
<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>
<td style="text-align: center;"><br />
</td>
</tr>
</table>
</body></html>