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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | '''Squbemic chords''' are [[dyadic chord|essentially tempered chord]] tempered by the squbema, [[729/728]]. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-02-19 18:34:51 UTC</tt>.<br>
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| : The original revision id was <tt>303200316</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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| <h4>Original Wikitext content:</h4>
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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;white-space: pre-wrap ! important" class="old-revision-html">A //squbemic chord// is a 13-limit [[Dyadic chord|essentially tempered dyadic chord]] which is defined via tempering out the squbema, 196/195. There are two squbemic tetrads, the temperings of 1-9/8-14/9-7/4 with steps of 9/8-18/13-9/8-8/7 and 1-9/8-13/9-13/8 with steps of 9/8-9/7-9/8-16/13. These contain two squbemic triads, the temperings of 1-9/8-13/9 and 1-9/7-13/9.
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| Equal temperaments with squbemic chords include 24, 36, 41, 53, 58, 72, 111, 130, 183, 190, 224, 354, 373, 525, 597, 845, 1028, 1069, 1724, with 1724edo giving the optimal patent val. Squebmic chords belong to a tempering of the 2.9.7.13 subgroup of the 13-limit.
| | [[13-odd-limit]] squebmic chords belong to a tempering of the 2.9.7.13 subgroup, including two triads and three tetrads. |
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| </pre></div>
| | The two squbemic triads are in inverse relationship: |
| <h4>Original HTML content:</h4>
| | * 1–9/8–13/9 with steps of 9/8, 9/7, 18/13; |
| <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>squbemic chords</title></head><body>A <em>squbemic chord</em> is a 13-limit <a class="wiki_link" href="/Dyadic%20chord">essentially tempered dyadic chord</a> which is defined via tempering out the squbema, 196/195. There are two squbemic tetrads, the temperings of 1-9/8-14/9-7/4 with steps of 9/8-18/13-9/8-8/7 and 1-9/8-13/9-13/8 with steps of 9/8-9/7-9/8-16/13. These contain two squbemic triads, the temperings of 1-9/8-13/9 and 1-9/7-13/9.<br />
| | * 1–9/7–13/9 with steps of 9/7, 9/8, 18/13. |
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| Equal temperaments with squbemic chords include 24, 36, 41, 53, 58, 72, 111, 130, 183, 190, 224, 354, 373, 525, 597, 845, 1028, 1069, 1724, with 1724edo giving the optimal patent val. Squebmic chords belong to a tempering of the 2.9.7.13 subgroup of the 13-limit.</body></html></pre></div> | | They can be extended to palindromic tetrads: |
| | * 1–9/8–14/9–7/4 with steps of 9/8, 18/13, 9/8, 8/7; |
| | * 1–9/8–13/9–13/8 with steps of 9/8, 9/7, 9/8, 16/13; |
| | * 1–9/7–13/9–13/7 with steps of 9/7, 9/8, 9/7, 14/13. |
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| | Equal temperaments with squbemic chords include {{Optimal ET sequence| 24, 36, 41, 53, 58, 72, 111, 130, 183, 190, 224, 354, 373, 525, 597, 845, 1028, 1069 and 1724 }}, with 1724edo giving the optimal patent val. |
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| | [[Category:13-odd-limit chords]] |
| | [[Category:Essentially tempered chords]] |
| | [[Category:Triads]] |
| | [[Category:Tetrads]] |
| | [[Category:Squbemic]] |
Squbemic chords are essentially tempered chord tempered by the squbema, 729/728.
13-odd-limit squebmic chords belong to a tempering of the 2.9.7.13 subgroup, including two triads and three tetrads.
The two squbemic triads are in inverse relationship:
- 1–9/8–13/9 with steps of 9/8, 9/7, 18/13;
- 1–9/7–13/9 with steps of 9/7, 9/8, 18/13.
They can be extended to palindromic tetrads:
- 1–9/8–14/9–7/4 with steps of 9/8, 18/13, 9/8, 8/7;
- 1–9/8–13/9–13/8 with steps of 9/8, 9/7, 9/8, 16/13;
- 1–9/7–13/9–13/7 with steps of 9/7, 9/8, 9/7, 14/13.
Equal temperaments with squbemic chords include 24, 36, 41, 53, 58, 72, 111, 130, 183, 190, 224, 354, 373, 525, 597, 845, 1028, 1069 and 1724, with 1724edo giving the optimal patent val.