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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | '''Pseudo-semaphore''' is a [[dual-fifth]] temperament related to [[semaphore]]. As in all dual-fifth temperaments, the third harmonic has two mappings, in this case a [[flattone]] to [[flattertone]]-sized one and a [[superpyth]] to [[ultrapyth]]-sized one. |
| 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>2011-08-17 15:45:22 UTC</tt>.<br>
| |
| : The original revision id was <tt>246543337</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">Pseudo-semaphore is a weird temperament in which the third harmonic does not have a single consistent mapping. If you want to force it into the regular mapping paradigm you have to think of it as a 2.3.3'.7 temperament.
| |
|
| |
|
| It's called "pseudo-semaphore" because it has the same MOS structure as semaphore, but 49/48 is not tempered out. Perhaps it's better to think of it as [[Superpyth|superpyth]] in which the 4/3 generator has been split in half forming a weird interval that's neither 8/7 nor 7/6. | | It's called "pseudo-semaphore" because it has the same MOS structure as semaphore, but [[49/48]] is not tempered out. Perhaps it's better to think of it as [[superpyth]] in which the 4/3 generator has been split in half forming a weird interval that's neither [[8/7]] nor [[7/6]]. |
| ==Interval chain== | | |
| || 204. || 448. || 692. || 936. || 1180. || 224. || 468. || 712. || 956. || 0. || 244. || 488. || 732. || 976. || 20. || 264. || 508. || 752. || 996. || | | == Interval chain == |
| || 9/8 || 9/7 || 3/2 (flat) || 12/7 || || 9/8~8/7 || || 3/2 (sharp) || || 1/1 || || 4/3 (flat) || || 7/4~16/9 || || 7/6 || 4/3 (sharp) || 14/9 || 16/9 ||
| | |
| ==MOSes==
| | {| class="wikitable" |
| ===5-note (LLLLs, proper)===
| | |- |
| The 5-note MOS is not much use because only one of the two different mappings shows up. You'd be better off using [[semaphore]][5] or [[superpyth]][5] (or [[5edo]]).
| | | 204. |
| || Small ("minor") interval || 224. || 468. || 712. || 956. ||
| | | 448. |
| || JI intervals represented || 9/8~8/7 || || 3/2 || ||
| | | 692. |
| || Large ("major") interval || 244. || 488. || 732. || 976. ||
| | | 936. |
| || JI intervals represented || || 4/3 || || 7/4~16/9 ||
| | | 1180. |
| ===9-note (LLsLsLsLs, improper)===
| | | 224. |
| Here's where all the action begins. Note that this nine-note scale contains nine 4/3s and nine 3/2s. The only way this is possible with a single mapping for 3 is an equal temperament, and all of these 4/3s and 3/2s are much more accurate than in [[9edo]].
| | | 468. |
| || Small ("minor") interval || 20. || 244. || 264. || 488. || 508. || 732. || 752. || 976. ||
| | | 712. |
| || JI intervals represented || || || 7/6 || 4/3 (flat) || 4/3 (sharp) || || 14/9 || 7/4~16/9 ||
| | | 956. |
| || Large ("major") interval || 224. || 448. || 468. || 692. || 712. || 936. || 956. || 1180. ||
| | | 0. |
| || JI intervals represented || 9/8~8/7 || 9/7 || || 3/2 (flat) || 3/2 (sharp) || 12/7 || || ||</pre></div> | | | 244. |
| <h4>Original HTML content:</h4>
| | | 488. |
| <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>Pseudo-semaphore</title></head><body>Pseudo-semaphore is a weird temperament in which the third harmonic does not have a single consistent mapping. If you want to force it into the regular mapping paradigm you have to think of it as a 2.3.3'.7 temperament.<br />
| | | 732. |
| <br />
| | | 976. |
| It's called &quot;pseudo-semaphore&quot; because it has the same MOS structure as semaphore, but 49/48 is not tempered out. Perhaps it's better to think of it as <a class="wiki_link" href="/Superpyth">superpyth</a> in which the 4/3 generator has been split in half forming a weird interval that's neither 8/7 nor 7/6.<br />
| | | 20. |
| <!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Interval chain"></a><!-- ws:end:WikiTextHeadingRule:0 -->Interval chain</h2>
| | | 264. |
|
| | | 508. |
| | | 752. |
| | | 996. |
| | |- |
| | | 9/8 |
| | | 9/7 |
| | | 3/2 (flat) |
| | | 12/7 |
| | | |
| | | 9/8~8/7 |
| | | |
| | | 3/2 (sharp) |
| | | |
| | | 1/1 |
| | | |
| | | 4/3 (flat) |
| | | |
| | | 7/4~16/9 |
| | | |
| | | 7/6 |
| | | 4/3 (sharp) |
| | | 14/9 |
| | | 16/9 |
| | |} |
|
| |
|
| <table class="wiki_table">
| | == MOSes == |
| <tr>
| |
| <td>204.<br />
| |
| </td>
| |
| <td>448.<br />
| |
| </td>
| |
| <td>692.<br />
| |
| </td>
| |
| <td>936.<br />
| |
| </td>
| |
| <td>1180.<br />
| |
| </td>
| |
| <td>224.<br />
| |
| </td>
| |
| <td>468.<br />
| |
| </td>
| |
| <td>712.<br />
| |
| </td>
| |
| <td>956.<br />
| |
| </td>
| |
| <td>0.<br />
| |
| </td>
| |
| <td>244.<br />
| |
| </td>
| |
| <td>488.<br />
| |
| </td>
| |
| <td>732.<br />
| |
| </td>
| |
| <td>976.<br />
| |
| </td>
| |
| <td>20.<br />
| |
| </td>
| |
| <td>264.<br />
| |
| </td>
| |
| <td>508.<br />
| |
| </td>
| |
| <td>752.<br />
| |
| </td>
| |
| <td>996.<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>9/8<br />
| |
| </td>
| |
| <td>9/7<br />
| |
| </td>
| |
| <td>3/2 (flat)<br />
| |
| </td>
| |
| <td>12/7<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>9/8~8/7<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>3/2 (sharp)<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>1/1<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>4/3 (flat)<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>7/4~16/9<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>7/6<br />
| |
| </td>
| |
| <td>4/3 (sharp)<br />
| |
| </td>
| |
| <td>14/9<br />
| |
| </td>
| |
| <td>16/9<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-MOSes"></a><!-- ws:end:WikiTextHeadingRule:2 -->MOSes</h2>
| | === 5-note (LLLLs, proper) === |
| <!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><a name="x-MOSes-5-note (LLLLs, proper)"></a><!-- ws:end:WikiTextHeadingRule:4 -->5-note (LLLLs, proper)</h3>
| |
| The 5-note MOS is not much use because only one of the two different mappings shows up. You'd be better off using <a class="wiki_link" href="/semaphore">semaphore</a>[5] or <a class="wiki_link" href="/superpyth">superpyth</a>[5] (or <a class="wiki_link" href="/5edo">5edo</a>).<br />
| |
|
| |
|
| | The 5-note MOS is not much use because only one of the two different mappings shows up. You'd be better off using [[semaphore]][5] or [[superpyth]][5] (or [[5edo]]). |
|
| |
|
| <table class="wiki_table">
| | {| class="wikitable" |
| <tr>
| | |- |
| <td>Small (&quot;minor&quot;) interval<br />
| | | Small ("minor") interval |
| </td>
| | | 224. |
| <td>224.<br />
| | | 468. |
| </td>
| | | 712. |
| <td>468.<br />
| | | 956. |
| </td>
| | |- |
| <td>712.<br />
| | | JI intervals represented |
| </td>
| | | 9/8~8/7 |
| <td>956.<br />
| | | |
| </td>
| | | 3/2 |
| </tr>
| | | |
| <tr>
| | |- |
| <td>JI intervals represented<br />
| | | Large ("major") interval |
| </td>
| | | 244. |
| <td>9/8~8/7<br />
| | | 488. |
| </td>
| | | 732. |
| <td><br />
| | | 976. |
| </td>
| | |- |
| <td>3/2<br />
| | | JI intervals represented |
| </td>
| | | |
| <td><br />
| | | 4/3 |
| </td>
| | | |
| </tr>
| | | 7/4~16/9 |
| <tr>
| | |} |
| <td>Large (&quot;major&quot;) interval<br />
| |
| </td>
| |
| <td>244.<br />
| |
| </td>
| |
| <td>488.<br />
| |
| </td>
| |
| <td>732.<br />
| |
| </td>
| |
| <td>976.<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>JI intervals represented<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>4/3<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>7/4~16/9<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><a name="x-MOSes-9-note (LLsLsLsLs, improper)"></a><!-- ws:end:WikiTextHeadingRule:6 -->9-note (LLsLsLsLs, improper)</h3>
| | === 9-note (LLsLsLsLs, improper) === |
| Here's where all the action begins. Note that this nine-note scale contains nine 4/3s and nine 3/2s. The only way this is possible with a single mapping for 3 is an equal temperament, and all of these 4/3s and 3/2s are much more accurate than in <a class="wiki_link" href="/9edo">9edo</a>.<br />
| |
|
| |
|
| | Here's where all the action begins. Note that this nine-note scale contains nine [[4/3]]s and nine [[3/2]]s. The only way this is possible with a single mapping for 3 is an equal temperament, and all of these 4/3s and 3/2s are much more accurate than in [[9edo]]. |
|
| |
|
| <table class="wiki_table">
| | {| class="wikitable" |
| <tr>
| | |- |
| <td>Small (&quot;minor&quot;) interval<br />
| | | Small ("minor") interval |
| </td>
| | | 20. |
| <td>20.<br />
| | | 244. |
| </td>
| | | 264. |
| <td>244.<br />
| | | 488. |
| </td>
| | | 508. |
| <td>264.<br />
| | | 732. |
| </td>
| | | 752. |
| <td>488.<br />
| | | 976. |
| </td>
| | |- |
| <td>508.<br />
| | | JI intervals represented |
| </td>
| | | |
| <td>732.<br />
| | | |
| </td>
| | | 7/6 |
| <td>752.<br />
| | | 4/3 (flat) |
| </td>
| | | 4/3 (sharp) |
| <td>976.<br />
| | | |
| </td>
| | | 14/9 |
| </tr>
| | | 7/4~16/9 |
| <tr>
| | |- |
| <td>JI intervals represented<br />
| | | Large ("major") interval |
| </td>
| | | 224. |
| <td><br />
| | | 448. |
| </td>
| | | 468. |
| <td><br />
| | | 692. |
| </td>
| | | 712. |
| <td>7/6<br />
| | | 936. |
| </td>
| | | 956. |
| <td>4/3 (flat)<br />
| | | 1180. |
| </td>
| | |- |
| <td>4/3 (sharp)<br />
| | | JI intervals represented |
| </td>
| | | 9/8~8/7 |
| <td><br />
| | | 9/7 |
| </td>
| | | |
| <td>14/9<br />
| | | 3/2 (flat) |
| </td>
| | | 3/2 (sharp) |
| <td>7/4~16/9<br />
| | | 12/7 |
| </td>
| | | |
| </tr>
| | | |
| <tr>
| | |} |
| <td>Large (&quot;major&quot;) interval<br />
| |
| </td>
| |
| <td>224.<br />
| |
| </td>
| |
| <td>448.<br />
| |
| </td>
| |
| <td>468.<br />
| |
| </td>
| |
| <td>692.<br />
| |
| </td>
| |
| <td>712.<br />
| |
| </td>
| |
| <td>936.<br />
| |
| </td>
| |
| <td>956.<br />
| |
| </td>
| |
| <td>1180.<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>JI intervals represented<br />
| |
| </td>
| |
| <td>9/8~8/7<br />
| |
| </td>
| |
| <td>9/7<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>3/2 (flat)<br />
| |
| </td>
| |
| <td>3/2 (sharp)<br />
| |
| </td>
| |
| <td>12/7<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| </body></html></pre></div>
| | [[Category:Temperaments]] |
| | [[Category:Dual-fifth temperaments]] |
Pseudo-semaphore is a dual-fifth temperament related to semaphore. As in all dual-fifth temperaments, the third harmonic has two mappings, in this case a flattone to flattertone-sized one and a superpyth to ultrapyth-sized one.
It's called "pseudo-semaphore" because it has the same MOS structure as semaphore, but 49/48 is not tempered out. Perhaps it's better to think of it as superpyth in which the 4/3 generator has been split in half forming a weird interval that's neither 8/7 nor 7/6.
Interval chain
| 204.
|
448.
|
692.
|
936.
|
1180.
|
224.
|
468.
|
712.
|
956.
|
0.
|
244.
|
488.
|
732.
|
976.
|
20.
|
264.
|
508.
|
752.
|
996.
|
| 9/8
|
9/7
|
3/2 (flat)
|
12/7
|
|
9/8~8/7
|
|
3/2 (sharp)
|
|
1/1
|
|
4/3 (flat)
|
|
7/4~16/9
|
|
7/6
|
4/3 (sharp)
|
14/9
|
16/9
|
MOSes
5-note (LLLLs, proper)
The 5-note MOS is not much use because only one of the two different mappings shows up. You'd be better off using semaphore[5] or superpyth[5] (or 5edo).
| Small ("minor") interval
|
224.
|
468.
|
712.
|
956.
|
| JI intervals represented
|
9/8~8/7
|
|
3/2
|
|
| Large ("major") interval
|
244.
|
488.
|
732.
|
976.
|
| JI intervals represented
|
|
4/3
|
|
7/4~16/9
|
9-note (LLsLsLsLs, improper)
Here's where all the action begins. Note that this nine-note scale contains nine 4/3s and nine 3/2s. The only way this is possible with a single mapping for 3 is an equal temperament, and all of these 4/3s and 3/2s are much more accurate than in 9edo.
| Small ("minor") interval
|
20.
|
244.
|
264.
|
488.
|
508.
|
732.
|
752.
|
976.
|
| JI intervals represented
|
|
|
7/6
|
4/3 (flat)
|
4/3 (sharp)
|
|
14/9
|
7/4~16/9
|
| Large ("major") interval
|
224.
|
448.
|
468.
|
692.
|
712.
|
936.
|
956.
|
1180.
|
| JI intervals represented
|
9/8~8/7
|
9/7
|
|
3/2 (flat)
|
3/2 (sharp)
|
12/7
|
|
|