List of rank-2 temperaments supported by EDOs
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author spt3125 and made on 2014-03-30 16:06:24 UTC.
- The original revision id was 499377130.
- The revision comment was: fixed error in mapping of 15ed2 blacksmith
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
//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
Original HTML content:
<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>