List of rank-2 temperaments supported by EDOs
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//Igliashon's List of// ==Important Rank-2 Temperaments Supported in Small ED2s (9-ED2 through 18-ED2)== [[toc|flat]] =9-ED2:= ===Pelogic Temperament=== **Generator:** 4\9 or 5\9 (533.33 or 666.67 cents) **Period:** Octave (1200 cents) **MOS scales:** Pentatonic 2L3s: 1 3 1 1 3 Heptatonic 2L5s: 1 1 2 1 1 1 2 **JI Basis:** 7-limit **Commas Tempered Out:** 135/128, 21/20 ===August Temperament=== **Generator:** 1\9 or 2\9 (133.33 or 266.67 cents) **Period:** 1/3-octave (400 cents) **MOS scale:** Hexatonic 3L3s: 1 2 1 2 1 2 **JI Basis:** 7-limit **Commas Tempered Out:** 128/125, 36/35 =10-ED2:= ===Dichotic Temperament=== **Generator:** 3\10 or 7\10 (360 or 840 cents) **Period:** Octave (1200 cents) **MOS scale:** Heptatonic 3L4s: 2 1 1 2 1 2 1 //Important MODMOS:// 2 1 1 2 2 1 1--adds an extra 720-cent interval, similar to maqam rast **JI Basis:** 2.3.5.7.13 **Commas Tempered Out:** 25/24, 65/64, 64/63 =11-ED2:= ===Machine Temperament=== **Generator:** 2\11 or 9\11 (218.18 or 981.82 cents) **Period:** Octave (1200 cents) **MOS scale:** Hexatonic 5L1s: 2 2 2 2 2 1 **JI Basis:** 2.7.9.11.15.17 **Commas Tempered Out:** 64/63, 99/98, 120/119, 121/119 ===Oregon Temperament=== **Generator:** 3\11 or 8\11 (327.27 or 872.73 cents) **Period:** Octave (1200 cents) **MOS scale:** Heptatonic 4L3s: 2 1 2 1 2 1 2 **JI Basis:** 2.7.9.11.15 **Commas Tempered Out:** 55/54, 64/63, 100/99 ===Sentry Temperament=== **Generator:** 4\11 or 7\11 (436.36 or 763.64 cents) **Period:** Octave (1200 cents) **MOS scales:** Pentatonic 3L2s: 1 3 1 3 3 Octatonic 3L5s: 1 1 2 1 1 2 1 2 **JI Basis:** 2.7.9.11.15 **Commas Tempered Out:** 245/243, 99/98, 55/54 =13-ED2:= ===Glacial Temperament=== **Generator:** 2\13 or 11\13 (184.62 or 1015.38 cents) **Period:** Octave (1200 cents) **MOS scales:** Hexatonic 1L5s: 2 2 2 3 2 2 Heptatonic 6L1s: 2 2 2 1 2 2 2 **JI Basis:** 2.5.9.11.13 **Commas Tempered Out:** 45/44, 81/80, 65/64 ===Lovecraft Temperament=== **Generator:** 3\13 or 10\13 (276.92 or 923.08 cents) **Period:** Octave (1200 cents) **MOS scales:** Pentatonic 4L1s: 3 3 3 3 1 Enneatonic 4L5s: 2 1 2 1 2 1 2 1 1 **JI Basis:** 2.9.11.13.21 **Commas Tempered Out:** 144/143, 169/168, 1344/1331 ===**Sephiroth Temperament**=== **Generator:** 4\13 or 9\13 (369.23 or 830.77 cents) **Period:** Octave (1200 cents) **MOS scales:** Heptatonic 3L4s: 3 1 1 3 1 3 1 Decatonic 3L7s: 2 1 1 1 2 1 1 2 1 1 **JI Basis:** 2.5.11.13.17 **Commas Tempered Out:** 65/64, 170/169, 221/220 ===**A-Team Temperament**=== **Generator:** 5\13 or 8\13 (461.54 or 738.46 cents) **Period:** Octave (1200 cents) **MOS scales:** Pentatonic 3L2s: 3 2 3 2 3 Octatonic 5L3s: 2 1 2 2 1 2 2 1 **JI Basis:** 2.5.9.13.21 **Commas:** 81/80, 105/104, 2250/2197
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<html><head><title>smallED2temperaments</title></head><body><em>Igliashon's List of</em><br /> <!-- ws:start:WikiTextHeadingRule:0:<h2> --><h2 id="toc0"><a name="x-Important Rank-2 Temperaments Supported in Small ED2s (9-ED2 through 18-ED2)"></a><!-- ws:end:WikiTextHeadingRule:0 -->Important Rank-2 Temperaments Supported in Small ED2s (9-ED2 through 18-ED2)</h2> <!-- ws:start:WikiTextTocRule:30:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --><!-- ws:end:WikiTextTocRule:31 --><!-- ws:start:WikiTextTocRule:32: --> | <a href="#x9-ED2:">9-ED2:</a><!-- ws:end:WikiTextTocRule:32 --><!-- ws:start:WikiTextTocRule:33: --><!-- ws:end:WikiTextTocRule:33 --><!-- ws:start:WikiTextTocRule:34: --><!-- ws:end:WikiTextTocRule:34 --><!-- ws:start:WikiTextTocRule:35: --> | <a href="#x10-ED2:">10-ED2:</a><!-- ws:end:WikiTextTocRule:35 --><!-- ws:start:WikiTextTocRule:36: --><!-- ws:end:WikiTextTocRule:36 --><!-- ws:start:WikiTextTocRule:37: --> | <a href="#x11-ED2:">11-ED2:</a><!-- ws:end:WikiTextTocRule:37 --><!-- ws:start:WikiTextTocRule:38: --><!-- ws:end:WikiTextTocRule:38 --><!-- ws:start:WikiTextTocRule:39: --><!-- ws:end:WikiTextTocRule:39 --><!-- ws:start:WikiTextTocRule:40: --><!-- ws:end:WikiTextTocRule:40 --><!-- ws:start:WikiTextTocRule:41: --> | <a href="#x13-ED2:">13-ED2:</a><!-- ws:end:WikiTextTocRule:41 --><!-- ws:start:WikiTextTocRule:42: --><!-- ws:end:WikiTextTocRule:42 --><!-- ws:start:WikiTextTocRule:43: --><!-- ws:end:WikiTextTocRule:43 --><!-- ws:start:WikiTextTocRule:44: --><!-- ws:end:WikiTextTocRule:44 --><!-- ws:start:WikiTextTocRule:45: --><!-- ws:end:WikiTextTocRule:45 --><!-- ws:start:WikiTextTocRule:46: --> <!-- ws:end:WikiTextTocRule:46 --><!-- ws:start:WikiTextHeadingRule:2:<h1> --><h1 id="toc1"><a name="x9-ED2:"></a><!-- ws:end:WikiTextHeadingRule:2 -->9-ED2:</h1> <!-- ws:start:WikiTextHeadingRule:4:<h3> --><h3 id="toc2"><a name="x9-ED2:--Pelogic Temperament"></a><!-- ws:end:WikiTextHeadingRule:4 -->Pelogic Temperament</h3> <strong>Generator:</strong> 4\9 or 5\9 (533.33 or 666.67 cents)<br /> <strong>Period:</strong> Octave (1200 cents)<br /> <strong>MOS scales:</strong><br /> Pentatonic 2L3s: 1 3 1 1 3<br /> Heptatonic 2L5s: 1 1 2 1 1 1 2<br /> <strong>JI Basis:</strong> 7-limit<br /> <strong>Commas Tempered Out:</strong> 135/128, 21/20<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h3> --><h3 id="toc3"><a name="x9-ED2:--August Temperament"></a><!-- ws:end:WikiTextHeadingRule:6 -->August Temperament</h3> <strong>Generator:</strong> 1\9 or 2\9 (133.33 or 266.67 cents)<br /> <strong>Period:</strong> 1/3-octave (400 cents)<br /> <strong>MOS scale:</strong><br /> Hexatonic 3L3s: 1 2 1 2 1 2<br /> <strong>JI Basis:</strong> 7-limit<br /> <strong>Commas Tempered Out:</strong> 128/125, 36/35<br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h1> --><h1 id="toc4"><a name="x10-ED2:"></a><!-- ws:end:WikiTextHeadingRule:8 -->10-ED2:</h1> <!-- ws:start:WikiTextHeadingRule:10:<h3> --><h3 id="toc5"><a name="x10-ED2:--Dichotic Temperament"></a><!-- ws:end:WikiTextHeadingRule:10 -->Dichotic Temperament</h3> <strong>Generator:</strong> 3\10 or 7\10 (360 or 840 cents)<br /> <strong>Period:</strong> Octave (1200 cents)<br /> <strong>MOS scale:</strong><br /> Heptatonic 3L4s: 2 1 1 2 1 2 1<br /> <em>Important MODMOS:</em> 2 1 1 2 2 1 1--adds an extra 720-cent interval, similar to maqam rast<br /> <strong>JI Basis:</strong> 2.3.5.7.13<br /> <strong>Commas Tempered Out:</strong> 25/24, 65/64, 64/63<br /> <br /> <!-- ws:start:WikiTextHeadingRule:12:<h1> --><h1 id="toc6"><a name="x11-ED2:"></a><!-- ws:end:WikiTextHeadingRule:12 -->11-ED2:</h1> <!-- ws:start:WikiTextHeadingRule:14:<h3> --><h3 id="toc7"><a name="x11-ED2:--Machine Temperament"></a><!-- ws:end:WikiTextHeadingRule:14 -->Machine Temperament</h3> <strong>Generator:</strong> 2\11 or 9\11 (218.18 or 981.82 cents)<br /> <strong>Period:</strong> Octave (1200 cents)<br /> <strong>MOS scale:</strong><br /> Hexatonic 5L1s: 2 2 2 2 2 1<br /> <strong>JI Basis:</strong> 2.7.9.11.15.17<br /> <strong>Commas Tempered Out:</strong> 64/63, 99/98, 120/119, 121/119<br /> <br /> <!-- ws:start:WikiTextHeadingRule:16:<h3> --><h3 id="toc8"><a name="x11-ED2:--Oregon Temperament"></a><!-- ws:end:WikiTextHeadingRule:16 -->Oregon Temperament</h3> <strong>Generator:</strong> 3\11 or 8\11 (327.27 or 872.73 cents)<br /> <strong>Period:</strong> Octave (1200 cents)<br /> <strong>MOS scale:</strong><br /> Heptatonic 4L3s: 2 1 2 1 2 1 2<br /> <strong>JI Basis:</strong> 2.7.9.11.15<br /> <strong>Commas Tempered Out:</strong> 55/54, 64/63, 100/99<br /> <br /> <!-- ws:start:WikiTextHeadingRule:18:<h3> --><h3 id="toc9"><a name="x11-ED2:--Sentry Temperament"></a><!-- ws:end:WikiTextHeadingRule:18 -->Sentry Temperament</h3> <strong>Generator:</strong> 4\11 or 7\11 (436.36 or 763.64 cents)<br /> <strong>Period:</strong> Octave (1200 cents)<br /> <strong>MOS scales:</strong><br /> Pentatonic 3L2s: 1 3 1 3 3<br /> Octatonic 3L5s: 1 1 2 1 1 2 1 2<br /> <strong>JI Basis:</strong> 2.7.9.11.15<br /> <strong>Commas Tempered Out:</strong> 245/243, 99/98, 55/54<br /> <br /> <!-- ws:start:WikiTextHeadingRule:20:<h1> --><h1 id="toc10"><a name="x13-ED2:"></a><!-- ws:end:WikiTextHeadingRule:20 -->13-ED2:</h1> <!-- ws:start:WikiTextHeadingRule:22:<h3> --><h3 id="toc11"><a name="x13-ED2:--Glacial Temperament"></a><!-- ws:end:WikiTextHeadingRule:22 -->Glacial Temperament</h3> <strong>Generator:</strong> 2\13 or 11\13 (184.62 or 1015.38 cents)<br /> <strong>Period:</strong> Octave (1200 cents)<br /> <strong>MOS scales:</strong><br /> Hexatonic 1L5s: 2 2 2 3 2 2 <br /> Heptatonic 6L1s: 2 2 2 1 2 2 2<br /> <strong>JI Basis:</strong> 2.5.9.11.13<br /> <strong>Commas Tempered Out:</strong> 45/44, 81/80, 65/64<br /> <br /> <!-- ws:start:WikiTextHeadingRule:24:<h3> --><h3 id="toc12"><a name="x13-ED2:--Lovecraft Temperament"></a><!-- ws:end:WikiTextHeadingRule:24 -->Lovecraft Temperament</h3> <strong>Generator:</strong> 3\13 or 10\13 (276.92 or 923.08 cents)<br /> <strong>Period:</strong> Octave (1200 cents)<br /> <strong>MOS scales:</strong><br /> Pentatonic 4L1s: 3 3 3 3 1<br /> Enneatonic 4L5s: 2 1 2 1 2 1 2 1 1<br /> <strong>JI Basis:</strong> 2.9.11.13.21<br /> <strong>Commas Tempered Out:</strong> 144/143, 169/168, 1344/1331<br /> <br /> <!-- ws:start:WikiTextHeadingRule:26:<h3> --><h3 id="toc13"><a name="x13-ED2:--Sephiroth Temperament"></a><!-- ws:end:WikiTextHeadingRule:26 --><strong>Sephiroth Temperament</strong></h3> <strong>Generator:</strong> 4\13 or 9\13 (369.23 or 830.77 cents)<br /> <strong>Period:</strong> Octave (1200 cents)<br /> <strong>MOS scales:</strong> <br /> Heptatonic 3L4s: 3 1 1 3 1 3 1<br /> Decatonic 3L7s: 2 1 1 1 2 1 1 2 1 1<br /> <strong>JI Basis:</strong> 2.5.11.13.17<br /> <strong>Commas Tempered Out:</strong> 65/64, 170/169, 221/220<br /> <br /> <!-- ws:start:WikiTextHeadingRule:28:<h3> --><h3 id="toc14"><a name="x13-ED2:--A-Team Temperament"></a><!-- ws:end:WikiTextHeadingRule:28 --><strong>A-Team Temperament</strong></h3> <strong>Generator:</strong> 5\13 or 8\13 (461.54 or 738.46 cents)<br /> <strong>Period:</strong> Octave (1200 cents)<br /> <strong>MOS scales:</strong> <br /> Pentatonic 3L2s: 3 2 3 2 3<br /> Octatonic 5L3s: 2 1 2 2 1 2 2 1<br /> <strong>JI Basis:</strong> 2.5.9.13.21<br /> <strong>Commas:</strong> 81/80, 105/104, 2250/2197</body></html>