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 ~ 15-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 **Mapping (with smallest generator available):** [<1 2 1 3|, <0 -1 3 -5|] **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 **Mapping:** [<3 5 7 9|, <0 -1 0 -2|] **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 **Mapping:** [<1 1 2 4 4|, <0 2 1 -4 -1|] **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 **Mapping:** [<1 3 3 4 5 5|, <0 -1 1 -3 -6 -5|] **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 **Mapping:** [<1 2 4 4 5|, <0 3 -3 -2 -4|] **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 **Mapping:** **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 **Mapping:** [<1 2 3 3 4|, <0 2 1 3 -2|] **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 **Mapping:** [<1 2 3 3 3|, <0 5 2 3 6|] **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 **Mapping:** [<1 2 5 4 5|, <0 1 -5 -1 -3|] **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 **Mapping:** [<1 0 2 1 4|, <0 6 3 7 1|] **Commas:** 81/80, 105/104, 2250/2197 =14-ED2= ===Semaphore Temperament=== **Generator:** 3\14 or 11\14 (257.14 or 942.86 cents) **Period:** Octave (1200 cents) **MOS scales:** Pentatonic 4L1s: 3 3 3 3 2 Enneatonic 5L4s: 2 1 2 1 2 1 2 1 2 **JI Basis:** 2.3.7.11 **Mapping:** [<1 2 3 3|, <0 -2 -1 2|] **Commas:** 49/48, 99/98 =15-ED2= ===Blacksmith Temperament=== **Generator:** 1\15 or 2\15 (80 or 160 cents) **Period:** 1/5-octave (240 cents) **MOS scale:** Decatonic 5L5s: 2 1 2 1 2 1 2 1 2 1 **JI Basis:** 2.3.5.7.11 **Mapping:** [<5 8 12 14 17|, <0 0 -1 0 -1|] **Commas:** 256/243, 49/48, 56/55 ===**Augene Temperament**=== **Generator:** 1\15 or 4\15 (80 or 320 cents) **Period:** 1/3-octave (400 cents) **MOS scales:** Hexatonic 3L3s: 4 1 4 1 4 1 Enneatonic 3L6s: 3 1 1 3 1 1 3 1 1 Dodecatonic 3L9s: 2 1 1 1 2 1 1 1 2 1 1 1 **JI Basis:** 2.3.5.7.11 **Mapping:** [<3 5 7 8 10|, <0 -1 0 2 2|] **Commas:** 128/125, 64/63, 56/55 ===**Triforce Temperament**=== **Generator:** 2\15 or 3\15 (160 or 240 cents) **Period:** 1/3-octave (400 cents) **MOS scales:** Hexatonic 3L3s: 3 2 3 2 3 2 Enneatonic 6L3s: 2 1 2 2 1 2 2 1 2 **JI Basis:** 2.3.5.7.11 **Mapping:** [<3 4 7 8 10|, <0 2 0 1 1|] **Commas:** 128/125, 49/48, 121/120 ======**<span style="font-size: 1.1em;">Keemun Temperament</span>**====== **Generator:** 4\15 or 11\15 (320 or 880 cents) **Period:** Octave (1200 cents) **MOS scales:** Heptatonic 4L3s: 3 1 3 1 3 1 3 Hendecatonic 4L7s: 2 1 1 2 1 1 2 1 1 2 1 **JI Basis:** 2.3.5.7.11 **Mapping:** [<1 0 1 2 4|, <0 6 5 3 -2|] **Commas:** 56/55, 49/48, 100/99 ======<span style="font-size: 1.1em;">**Porkypine aka 2.3.5.11 Porcupine**</span>====== **Generator:** 2\15 or 13\15 (160 or 1040 cents) **Period:** Octave (1200 cents) **MOS scales:** Heptatonic 1L6s: 3 2 2 2 2 2 2 Octatonic 7L1s: 2 1 2 2 2 2 2 2 **JI Basis:** 2.3.5.11 **Mapping:** [<1 2 3 4|, <0 -3 -5 -4|] **Commas:** 55/54, 100/99
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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 ~ 15-ED2)"></a><!-- ws:end:WikiTextHeadingRule:0 -->Important Rank-2 Temperaments Supported in Small ED2s (9-ED2 ~ 15-ED2)</h2> <!-- ws:start:WikiTextTocRule:46:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- ws:end:WikiTextTocRule:46 --><!-- ws:start:WikiTextTocRule:47: --><!-- ws:end:WikiTextTocRule:47 --><!-- ws:start:WikiTextTocRule:48: --> | <a href="#x9-ED2">9-ED2</a><!-- ws:end:WikiTextTocRule:48 --><!-- ws:start:WikiTextTocRule:49: --><!-- ws:end:WikiTextTocRule:49 --><!-- ws:start:WikiTextTocRule:50: --><!-- ws:end:WikiTextTocRule:50 --><!-- ws:start:WikiTextTocRule:51: --> | <a href="#x10-ED2">10-ED2</a><!-- ws:end:WikiTextTocRule:51 --><!-- ws:start:WikiTextTocRule:52: --><!-- ws:end:WikiTextTocRule:52 --><!-- ws:start:WikiTextTocRule:53: --> | <a href="#x11-ED2">11-ED2</a><!-- ws:end:WikiTextTocRule:53 --><!-- ws:start:WikiTextTocRule:54: --><!-- ws:end:WikiTextTocRule:54 --><!-- ws:start:WikiTextTocRule:55: --><!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --><!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --> | <a href="#x13-ED2">13-ED2</a><!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --><!-- ws:end:WikiTextTocRule:58 --><!-- ws:start:WikiTextTocRule:59: --><!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --><!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --><!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --> | <a href="#x14-ED2">14-ED2</a><!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --><!-- ws:end:WikiTextTocRule:63 --><!-- ws:start:WikiTextTocRule:64: --> | <a href="#x15-ED2">15-ED2</a><!-- ws:end:WikiTextTocRule:64 --><!-- ws:start:WikiTextTocRule:65: --><!-- ws:end:WikiTextTocRule:65 --><!-- ws:start:WikiTextTocRule:66: --><!-- ws:end:WikiTextTocRule:66 --><!-- ws:start:WikiTextTocRule:67: --><!-- ws:end:WikiTextTocRule:67 --><!-- ws:start:WikiTextTocRule:68: --><!-- ws:end:WikiTextTocRule:68 --><!-- ws:start:WikiTextTocRule:69: --><!-- ws:end:WikiTextTocRule:69 --><!-- ws:start:WikiTextTocRule:70: --> <!-- ws:end:WikiTextTocRule:70 --><!-- 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>Mapping (with smallest generator available):</strong> [<1 2 1 3|, <0 -1 3 -5|]<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>Mapping:</strong> [<3 5 7 9|, <0 -1 0 -2|]<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>Mapping:</strong> [<1 1 2 4 4|, <0 2 1 -4 -1|]<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>Mapping:</strong> [<1 3 3 4 5 5|, <0 -1 1 -3 -6 -5|]<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>Mapping:</strong> [<1 2 4 4 5|, <0 3 -3 -2 -4|]<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>Mapping:</strong><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>Mapping:</strong> [<1 2 3 3 4|, <0 2 1 3 -2|]<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>Mapping:</strong> [<1 2 3 3 3|, <0 5 2 3 6|]<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>Mapping:</strong> [<1 2 5 4 5|, <0 1 -5 -1 -3|]<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>Mapping:</strong> [<1 0 2 1 4|, <0 6 3 7 1|]<br /> <strong>Commas:</strong> 81/80, 105/104, 2250/2197<br /> <br /> <!-- ws:start:WikiTextHeadingRule:30:<h1> --><h1 id="toc15"><a name="x14-ED2"></a><!-- ws:end:WikiTextHeadingRule:30 -->14-ED2</h1> <!-- ws:start:WikiTextHeadingRule:32:<h3> --><h3 id="toc16"><a name="x14-ED2--Semaphore Temperament"></a><!-- ws:end:WikiTextHeadingRule:32 -->Semaphore Temperament</h3> <strong>Generator:</strong> 3\14 or 11\14 (257.14 or 942.86 cents)<br /> <strong>Period:</strong> Octave (1200 cents)<br /> <strong>MOS scales:</strong><br /> Pentatonic 4L1s: 3 3 3 3 2<br /> Enneatonic 5L4s: 2 1 2 1 2 1 2 1 2<br /> <strong>JI Basis:</strong> 2.3.7.11<br /> <strong>Mapping:</strong> [<1 2 3 3|, <0 -2 -1 2|]<br /> <strong>Commas:</strong> 49/48, 99/98<br /> <br /> <!-- ws:start:WikiTextHeadingRule:34:<h1> --><h1 id="toc17"><a name="x15-ED2"></a><!-- ws:end:WikiTextHeadingRule:34 -->15-ED2</h1> <!-- ws:start:WikiTextHeadingRule:36:<h3> --><h3 id="toc18"><a name="x15-ED2--Blacksmith Temperament"></a><!-- ws:end:WikiTextHeadingRule:36 -->Blacksmith Temperament</h3> <strong>Generator:</strong> 1\15 or 2\15 (80 or 160 cents)<br /> <strong>Period:</strong> 1/5-octave (240 cents)<br /> <strong>MOS scale:</strong><br /> Decatonic 5L5s: 2 1 2 1 2 1 2 1 2 1<br /> <strong>JI Basis:</strong> 2.3.5.7.11<br /> <strong>Mapping:</strong> [<5 8 12 14 17|, <0 0 -1 0 -1|]<br /> <strong>Commas:</strong> 256/243, 49/48, 56/55<br /> <br /> <!-- ws:start:WikiTextHeadingRule:38:<h3> --><h3 id="toc19"><a name="x15-ED2--Augene Temperament"></a><!-- ws:end:WikiTextHeadingRule:38 --><strong>Augene Temperament</strong></h3> <strong>Generator:</strong> 1\15 or 4\15 (80 or 320 cents)<br /> <strong>Period:</strong> 1/3-octave (400 cents)<br /> <strong>MOS scales:</strong><br /> Hexatonic 3L3s: 4 1 4 1 4 1<br /> Enneatonic 3L6s: 3 1 1 3 1 1 3 1 1<br /> Dodecatonic 3L9s: 2 1 1 1 2 1 1 1 2 1 1 1<br /> <strong>JI Basis:</strong> 2.3.5.7.11<br /> <strong>Mapping:</strong> [<3 5 7 8 10|, <0 -1 0 2 2|]<br /> <strong>Commas:</strong> 128/125, 64/63, 56/55<br /> <br /> <!-- ws:start:WikiTextHeadingRule:40:<h3> --><h3 id="toc20"><a name="x15-ED2--Triforce Temperament"></a><!-- ws:end:WikiTextHeadingRule:40 --><strong>Triforce Temperament</strong></h3> <strong>Generator:</strong> 2\15 or 3\15 (160 or 240 cents)<br /> <strong>Period:</strong> 1/3-octave (400 cents)<br /> <strong>MOS scales:</strong><br /> Hexatonic 3L3s: 3 2 3 2 3 2<br /> Enneatonic 6L3s: 2 1 2 2 1 2 2 1 2<br /> <strong>JI Basis:</strong> 2.3.5.7.11<br /> <strong>Mapping:</strong> [<3 4 7 8 10|, <0 2 0 1 1|]<br /> <strong>Commas:</strong> 128/125, 49/48, 121/120<br /> <br /> <!-- ws:start:WikiTextHeadingRule:42:<h6> --><h6 id="toc21"><a name="x15-ED2--Triforce Temperament---Keemun Temperament"></a><!-- ws:end:WikiTextHeadingRule:42 --><strong><span style="font-size: 1.1em;">Keemun Temperament</span></strong></h6> <strong>Generator:</strong> 4\15 or 11\15 (320 or 880 cents)<br /> <strong>Period:</strong> Octave (1200 cents)<br /> <strong>MOS scales:</strong><br /> Heptatonic 4L3s: 3 1 3 1 3 1 3<br /> Hendecatonic 4L7s: 2 1 1 2 1 1 2 1 1 2 1<br /> <strong>JI Basis:</strong> 2.3.5.7.11<br /> <strong>Mapping:</strong> [<1 0 1 2 4|, <0 6 5 3 -2|]<br /> <strong>Commas:</strong> 56/55, 49/48, 100/99<br /> <br /> <!-- ws:start:WikiTextHeadingRule:44:<h6> --><h6 id="toc22"><a name="x15-ED2--Triforce Temperament---Porkypine aka 2.3.5.11 Porcupine"></a><!-- ws:end:WikiTextHeadingRule:44 --><span style="font-size: 1.1em;"><strong>Porkypine aka 2.3.5.11 Porcupine</strong></span></h6> <strong>Generator:</strong> 2\15 or 13\15 (160 or 1040 cents)<br /> <strong>Period:</strong> Octave (1200 cents)<br /> <strong>MOS scales:</strong><br /> Heptatonic 1L6s: 3 2 2 2 2 2 2<br /> Octatonic 7L1s: 2 1 2 2 2 2 2 2<br /> <strong>JI Basis:</strong> 2.3.5.11<br /> <strong>Mapping:</strong> [<1 2 3 4|, <0 -3 -5 -4|]<br /> <strong>Commas:</strong> 55/54, 100/99</body></html>