35edo: Difference between revisions

Line 1:

<h2>IMPORTED REVISION FROM WIKISPACES</h2>

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

: This revision was by author [[User:phylingual|phylingual]] and made on <tt>2012-05-06 08:33:32 UTC</tt>.

: This revision was by author [[User:phylingual|phylingual]] and made on <tt>2012-05-06 08:50:45 UTC</tt>.

: The original revision id was <tt>~~330633216~~</tt>.

: The original revision id was <tt>330635360</tt>.

: The revision comment was: <tt></tt>

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

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more in-tune versions of 35edo MOS's and consistent representation of both subgroups. 35edo has the optimal patent val for [[xenharmonic/Greenwoodmic temperaments|greenwood]] and [[xenharmonic/Greenwoodmic temperaments#Secund|secund]] temperaments.

A good ~~beggining~~ for start to play 35-EDO is with the Sub-diatonic scale, that is a [[xenharmonic/MOS|MOS]] of 3L2s: 9 4 9 9 4.

A good beginning for start to play 35-EDO is with the Sub-diatonic scale, that is a [[xenharmonic/MOS|MOS]] of 3L2s: 9 4 9 9 4.

=Intervals=

(Bolded ratio indicates that the ratio is most accurately tuned by the given 35-edo interval.)

|| Degrees || Solfege || Cents value || Ratios in 2.5.7.11.17 subgroup || Ratios with flat 3 || Ratios with sharp 3 || Ratios with 9 ||

|| 0 || do || 0 || 1/1 || (see comma table) || || ||

|| 0 || do || 0 || **1/1** || (see comma table) || || ||

|| 1 || du || 34.29 || 50/49, 121/119 || 36/35 || 25/24 || 81/80 ||

|| 1 || du || 34.29 || **50/49**, **121/119**, 33/32 || **36/35** || 25/24 || **81/80** ||

|| 2 || di || 68.57 || 128/125 || 25/24 || || ||

|| 2 || di || 68.57 || 128/125 || **25/24** || || ||

|| 3 || ra || 102.86 || 17/16 || || 16/15 || 18/17 ||

|| 3 || ra || 102.86 || **17/16** || || **16/15** || **18/17** ||

|| 4 || ru || 137.14 || || 12/11, 16/15 || || ||

|| 4 || ru || 137.14 || || **12/11**, 16/15 || || ||

|| 5 || ro || 171.43 || 11/10 || || 12/11 || 10/9 ||

|| 5 || ro || 171.43 || **11/10** || || 12/11 || **10/9** ||

|| 6 || re || 205.71 || || || || 9/8 ||

|| 6 || re || 205.71 || || || || **9/8** ||

|| 7 || ri || 240 || 8/7 || || 7/6 || ||

|| 7 || ri || 240 || **8/7** || || 7/6 || ||

|| 8 || ma || 274.29 || 20/17 || 7/6 || || ||

|| 8 || ma || 274.29 || **20/17** || **7/6** || || ||

|| 9 || me || 308.57 || || 6/5 || || ||

|| 9 || me || 308.57 || || **6/5** || || ||

|| 10 || mu || 342.86 || 17/14 || || 6/5 || 11/9 ||

|| 10 || mu || 342.86 || **17/14** || || 6/5 || **11/9** ||

|| 11 || mi || 377.14 || 5/4 || || || ||

|| 11 || mi || 377.14 || **5/4** || || || ||

|| 12 || mo || 411.43 || 14/11 || || || ||

|| 12 || mo || 411.43 || **14/11** || || || ||

|| 13 || fe || 445.71 || 22/17 || || || 9/7 ||

|| 13 || fe || 445.71 || **22/17**, 32/25 || || || **9/7** ||

|| 14 || fo || 480 || || || 4/3 || ||

|| 15 || fa~~(h)~~ || 514.29 || || 4/3 || || ||

|| 15 || fa || 514.29 || || **4/3** || || ||

|| 16 || fu || 548.57 || 11/8 || || || ||

|| 16 || fu || 548.57 || **11/8** || || || ||

|| 17 || fi || 582.86 || 7/5 || 24/17 || 17/12 || ||

|| 17 || fi || 582.86 || **7/5** || **24/17** || 17/12 || ||

|| 18 || se || 617.14 || 10/7 || 17/12 || 24/17 || ||

|| 18 || se || 617.14 || **10/7** || **17/12** || 24/17 || ||

|| 19 || su || 651.43 || 16/11 || || || ||

|| 19 || su || 651.43 || **16/11** || || || ||

|| 20 || sa || 685.71 || || 3/2 || || ||

|| 20 || so || 685.71 || || **3/2** || || ||

|| 21 || ~~so(h)~~ || 720 || || || 3/2 || ||

|| 21 || sa || 720 || || || 3/2 || ||

|| 22 || si || 754.29 || 17/11, 25/16 || || || 14/9 ||

|| 22 || si || 754.29 || **17/11**, 25/16 || || || **14/9** ||

|| 23 || lo || 788.57 || 11/7 || || || ||

|| 23 || lo || 788.57 || **11/7** || || || ||

|| 24 || le || 822.86 || 8/5 || || || ||

|| 24 || le || 822.86 || **8/5** || || || ||

|| 25 || lu || 857.15 || || || 5/3 || 18/11 ||

|| 25 || lu || 857.15 || || || 5/3 || **18/11** ||

|| 26 || la || 891.43 || || 5/3 || || ||

|| 26 || la || 891.43 || || **5/3** || || ||

|| 27 || li || 925.71 || 17/10 || 12/7 || || ||

|| 27 || li || 925.71 || **17/10** || **12/7** || || ||

|| 28 || ta || 960 || 7/4 || || || ||

|| 28 || ta || 960 || **7/4** || || || ||

|| 29 || te || 994.29 || || || || 16/9 ||

|| 29 || te || 994.29 || || || || **16/9** ||

|| 30 || to || 1028.57 || 20/11 || || || 9/5 ||

|| 30 || to || 1028.57 || **20/11** || || || **9/5** ||

|| 31 || tu || 1062.86 || || 11/6, 15/8 || || ||

|| 31 || tu || 1062.86 || || **11/6**, 15/8 || || ||

|| 32 || ti || 1097.14 || 32/17 || || 15/8 || 17/9 ||

|| 32 || ti || 1097.14 || **32/17** || || **15/8** || **17/9** ||

|| 33 || de || 1131.43 || || || || ||

|| 34 || da || 1165.71 || || || || ||

Line 56:

||~ Periods

per octave ||~ Generator ||~ Temperaments with

flat 3/2 (patent val) ||~ Temperaments with

flat 3/2 (patent val) ||~ Temperaments withsharp 3/2 (35b val) ||

sharp 3/2 (35b val) ||

|| 1 || 1\35 || || ||

|| 1 || 2\35 || || ||

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|| 1 || 16\35 || || ||

|| 1 || 17\35 || || ||

|| 5 || 1\35 || || [[Blackwood]] (very unfair, ~~with~~ 7/6 ~~and 9/7~~) ||

|| 5 || 1\35 || || [[Blackwood]] (very unfair, favoring 7/6) ||

|| 5 || 2\35 || || [[Blackwood]] (unfair, favoring 6/5) ||

|| 5 || 2\35 || || [[Blackwood]] (unfair, favoring 6/5 and 20/17) ||

|| 5 || 3\35 || || [[Blackwood]] (fair, favoring 5/4) ||

|| 5 || 3\35 || || [[Blackwood]] (fair, favoring 5/4 and 17/14) ||

|| 7 || 1\35 || [[xenharmonic/Apotome family|Whitewood]]/[[xenharmonic/Apotome family#Redwood|Redwood]] || ||

|| 7 || 2\35 || [[xenharmonic/Greenwoodmic temperaments#Greenwood|Greenwood]] || ||

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more in-tune versions of 35edo MOS's and consistent representation of both subgroups. 35edo has the optimal patent val for <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Greenwoodmic%20temperaments">greenwood</a> and <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Greenwoodmic%20temperaments#Secund">secund</a> temperaments.

A good ~~beggining~~ for start to play 35-EDO is with the Sub-diatonic scale, that is a <a class="wiki_link" href="http://xenharmonic.wikispaces.com/MOS">MOS</a> of 3L2s: 9 4 9 9 4.

A good beginning for start to play 35-EDO is with the Sub-diatonic scale, that is a <a class="wiki_link" href="http://xenharmonic.wikispaces.com/MOS">MOS</a> of 3L2s: 9 4 9 9 4.

<h1 id="toc0"><a name="Intervals"></a>Intervals</h1>

(Bolded ratio indicates that the ratio is most accurately tuned by the given 35-edo interval.)

Line 129:

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<td>0

</td>

<td>1/1

<td>1/1

</td>

<td>(see comma table)

Line 145:

Line 144:

<td>34.29

</td>

<td>50/49, 121/119

<td>50/49, 121/119, 33/32

</td>

<td>36/35

<td>36/35

</td>

<td>25/24

</td>

<td>81/80

<td>81/80

</td>

</tr>

Line 163:

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<td>128/125

</td>

<td>25/24

<td>25/24

</td>

<td>

Line 177:

Line 176:

<td>102.86

</td>

<td>17/16

<td>17/16

</td>

<td>

</td>

<td>16/15

<td>16/15

</td>

<td>18/17

<td>18/17

</td>

</tr>

Line 195:

Line 194:

<td>

</td>

<td>12/11, 16/15

<td>12/11, 16/15

</td>

<td>

Line 209:

Line 208:

<td>171.43

</td>

<td>11/10

<td>11/10

</td>

<td>

Line 215:

Line 214:

<td>12/11

</td>

<td>10/9

<td>10/9

</td>

</tr>

Line 231:

Line 230:

<td>

</td>

<td>9/8

<td>9/8

</td>

</tr>

Line 241:

Line 240:

<td>240

</td>

<td>8/7

<td>8/7

</td>

<td>

Line 257:

Line 256:

<td>274.29

</td>

<td>20/17

<td>20/17

</td>

<td>7/6

<td>7/6

</td>

<td>

Line 275:

Line 274:

<td>

</td>

<td>6/5

<td>6/5

</td>

<td>

Line 289:

Line 288:

<td>342.86

</td>

<td>17/14

<td>17/14

</td>

<td>

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Line 294:

<td>6/5

</td>

<td>11/9

<td>11/9

</td>

</tr>

Line 305:

Line 304:

<td>377.14

</td>

<td>5/4

<td>5/4

</td>

<td>

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Line 320:

<td>411.43

</td>

<td>14/11

<td>14/11

</td>

<td>

Line 337:

Line 336:

<td>445.71

</td>

<td>22/17

<td>22/17, 32/25

</td>

<td>

Line 343:

Line 342:

<td>

</td>

<td>9/7

<td>9/7

</td>

</tr>

Line 365:

Line 364:

<td>15

</td>

<td>fa~~(h)~~

<td>fa

</td>

<td>514.29

Line 371:

Line 370:

<td>

</td>

<td>4/3

<td>4/3

</td>

<td>

Line 385:

Line 384:

<td>548.57

</td>

<td>11/8

<td>11/8

</td>

<td>

Line 401:

Line 400:

<td>582.86

</td>

<td>7/5

<td>7/5

</td>

<td>24/17

<td>24/17

</td>

<td>17/12

Line 417:

Line 416:

<td>617.14

</td>

<td>10/7

<td>10/7

</td>

<td>17/12

<td>17/12

</td>

<td>24/17

Line 433:

Line 432:

<td>651.43

</td>

<td>16/11

<td>16/11

</td>

<td>

Line 445:

Line 444:

<td>20

</td>

<td>sa

<td>so

</td>

<td>685.71

Line 451:

Line 450:

<td>

</td>

<td>3/2

<td>3/2

</td>

<td>

Line 461:

Line 460:

<td>21

</td>

<td>~~so(h)~~

<td>sa

</td>

<td>720

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Line 480:

<td>754.29

</td>

<td>17/11, 25/16

<td>17/11, 25/16

</td>

<td>

Line 487:

Line 486:

<td>

</td>

<td>14/9

<td>14/9

</td>

</tr>

Line 497:

Line 496:

<td>788.57

</td>

<td>11/7

<td>11/7

</td>

<td>

Line 513:

Line 512:

<td>822.86

</td>

<td>8/5

<td>8/5

</td>

<td>

Line 535:

Line 534:

<td>5/3

</td>

<td>18/11

<td>18/11

</td>

</tr>

Line 547:

Line 546:

<td>

</td>

<td>5/3

<td>5/3

</td>

<td>

Line 561:

Line 560:

<td>925.71

</td>

<td>17/10

<td>17/10

</td>

<td>12/7

<td>12/7

</td>

<td>

Line 577:

Line 576:

<td>960

</td>

<td>7/4

<td>7/4

</td>

<td>

Line 599:

Line 598:

<td>

</td>

<td>16/9

<td>16/9

</td>

</tr>

Line 609:

Line 608:

<td>1028.57

</td>

<td>20/11

<td>20/11

</td>

<td>

Line 615:

Line 614:

<td>

</td>

<td>9/5

<td>9/5

</td>

</tr>

Line 627:

Line 626:

<td>

</td>

<td>11/6, 15/8

<td>11/6, 15/8

</td>

<td>

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Line 640:

<td>1097.14

</td>

<td>32/17

<td>32/17

</td>

<td>

</td>

<td>15/8

<td>15/8

</td>

<td>17/9

<td>17/9

</td>

</tr>

Line 698:

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flat 3/2 (patent val)

</th>

<th>Temperaments with~~ ~~

<th>Temperaments withsharp 3/2 (35b val)

sharp 3/2 (35b val)

</th>

</tr>

Line 827:

Line 825:

<td>

</td>

<td><a class="wiki_link" href="/Blackwood">Blackwood</a> (very unfair, ~~with~~ 7/6 ~~and 9/7~~)

<td><a class="wiki_link" href="/Blackwood">Blackwood</a> (very unfair, favoring 7/6)

</td>

</tr>

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<td>

</td>

<td><a class="wiki_link" href="/Blackwood">Blackwood</a> (unfair, favoring 6/5)

<td><a class="wiki_link" href="/Blackwood">Blackwood</a> (unfair, favoring 6/5 and 20/17)

</td>

</tr>

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<td>

</td>

<td><a class="wiki_link" href="/Blackwood">Blackwood</a> (fair, favoring 5/4)

<td><a class="wiki_link" href="/Blackwood">Blackwood</a> (fair, favoring 5/4 and 17/14)

</td>

</tr>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:phylingual|phylingual]] and made on <tt>2012-05-06 08:33:32 UTC</tt>.<br>
+: This revision was by author [[User:phylingual|phylingual]] and made on <tt>2012-05-06 08:50:45 UTC</tt>.<br>
-: The original revision id was <tt>330633216</tt>.<br>
+: The original revision id was <tt>330635360</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>
@@ Line 11: / Line 11: @@
 more in-tune versions of 35edo MOS's and consistent representation of both subgroups. 35edo has the optimal patent val for [[xenharmonic/Greenwoodmic temperaments|greenwood]] and [[xenharmonic/Greenwoodmic temperaments#Secund|secund]] temperaments.
-A good beggining for start to play 35-EDO is with the Sub-diatonic scale, that is a [[xenharmonic/MOS|MOS]] of 3L2s: 9 4 9 9 4.
+A good beginning for start to play 35-EDO is with the Sub-diatonic scale, that is a [[xenharmonic/MOS|MOS]] of 3L2s: 9 4 9 9 4.
 =Intervals=
+(Bolded ratio indicates that the ratio is most accurately tuned by the given 35-edo interval.)
 || Degrees || Solfege || Cents value || Ratios in 2.5.7.11.17 subgroup || Ratios with flat 3 || Ratios with sharp 3 || Ratios with 9 ||
-|| 0 || do || 0 || 1/1 || (see comma table) ||   ||   ||
+|| 0 || do || 0 || **1/1** || (see comma table) ||   ||   ||
-|| 1 || du || 34.29 || 50/49, 121/119 || 36/35 || 25/24 || 81/80 ||
+|| 1 || du || 34.29 || **50/49**, **121/119**, 33/32 || **36/35** || 25/24 || **81/80** ||
-|| 2 || di || 68.57 || 128/125 || 25/24 ||   ||   ||
+|| 2 || di || 68.57 || 128/125 || **25/24** ||   ||   ||
-|| 3 || ra || 102.86 || 17/16 ||   || 16/15 || 18/17 ||
+|| 3 || ra || 102.86 || **17/16** ||   || **16/15** || **18/17** ||
-|| 4 || ru || 137.14 ||   || 12/11, 16/15 ||   ||   ||
+|| 4 || ru || 137.14 ||   || **12/11**, 16/15 ||   ||   ||
-|| 5 || ro || 171.43 || 11/10 ||   || 12/11 || 10/9 ||
+|| 5 || ro || 171.43 || **11/10** ||   || 12/11 || **10/9** ||
-|| 6 || re || 205.71 ||   ||   ||   || 9/8 ||
+|| 6 || re || 205.71 ||   ||   ||   || **9/8** ||
-|| 7 || ri || 240 || 8/7 ||   || 7/6 ||   ||
+|| 7 || ri || 240 || **8/7** ||   || 7/6 ||   ||
-|| 8 || ma || 274.29 || 20/17 || 7/6 ||   ||   ||
+|| 8 || ma || 274.29 || **20/17** || **7/6** ||   ||   ||
-|| 9 || me || 308.57 ||   || 6/5 ||   ||   ||
+|| 9 || me || 308.57 ||   || **6/5** ||   ||   ||
-|| 10 || mu || 342.86 || 17/14 ||   || 6/5 || 11/9 ||
+|| 10 || mu || 342.86 || **17/14** ||   || 6/5 || **11/9** ||
-|| 11 || mi || 377.14 || 5/4 ||   ||   ||   ||
+|| 11 || mi || 377.14 || **5/4** ||   ||   ||   ||
-|| 12 || mo || 411.43 || 14/11 ||   ||   ||   ||
+|| 12 || mo || 411.43 || **14/11** ||   ||   ||   ||
-|| 13 || fe || 445.71 || 22/17 ||   ||   || 9/7 ||
+|| 13 || fe || 445.71 || **22/17**, 32/25 ||   ||   || **9/7** ||
 || 14 || fo || 480 ||   ||   || 4/3 ||   ||
-|| 15 || fa(h) || 514.29 ||   || 4/3 ||   ||   ||
+|| 15 || fa || 514.29 ||   || **4/3** ||   ||   ||
-|| 16 || fu || 548.57 || 11/8 ||   ||   ||   ||
+|| 16 || fu || 548.57 || **11/8** ||   ||   ||   ||
-|| 17 || fi || 582.86 || 7/5 || 24/17 || 17/12 ||   ||
+|| 17 || fi || 582.86 || **7/5** || **24/17** || 17/12 ||   ||
-|| 18 || se || 617.14 || 10/7 || 17/12 || 24/17 ||   ||
+|| 18 || se || 617.14 || **10/7** || **17/12** || 24/17 ||   ||
-|| 19 || su || 651.43 || 16/11 ||   ||   ||   ||
+|| 19 || su || 651.43 || **16/11** ||   ||   ||   ||
-|| 20 || sa || 685.71 ||   || 3/2 ||   ||   ||
+|| 20 || so || 685.71 ||   || **3/2** ||   ||   ||
-|| 21 || so(h) || 720 ||   ||   || 3/2 ||   ||
+|| 21 || sa || 720 ||   ||   || 3/2 ||   ||
-|| 22 || si || 754.29 || 17/11, 25/16 ||   ||   || 14/9 ||
+|| 22 || si || 754.29 || **17/11**, 25/16 ||   ||   || **14/9** ||
-|| 23 || lo || 788.57 || 11/7 ||   ||   ||   ||
+|| 23 || lo || 788.57 || **11/7** ||   ||   ||   ||
-|| 24 || le || 822.86 || 8/5 ||   ||   ||   ||
+|| 24 || le || 822.86 || **8/5** ||   ||   ||   ||
-|| 25 || lu || 857.15 ||   ||   || 5/3 || 18/11 ||
+|| 25 || lu || 857.15 ||   ||   || 5/3 || **18/11** ||
-|| 26 || la || 891.43 ||   || 5/3 ||   ||   ||
+|| 26 || la || 891.43 ||   || **5/3** ||   ||   ||
-|| 27 || li || 925.71 || 17/10 || 12/7 ||   ||   ||
+|| 27 || li || 925.71 || **17/10** || **12/7** ||   ||   ||
-|| 28 || ta || 960 || 7/4 ||   ||   ||   ||
+|| 28 || ta || 960 || **7/4** ||   ||   ||   ||
-|| 29 || te || 994.29 ||   ||   ||   || 16/9 ||
+|| 29 || te || 994.29 ||   ||   ||   || **16/9** ||
-|| 30 || to || 1028.57 || 20/11 ||   ||   || 9/5 ||
+|| 30 || to || 1028.57 || **20/11** ||   ||   || **9/5** ||
-|| 31 || tu || 1062.86 ||   || 11/6, 15/8 ||   ||   ||
+|| 31 || tu || 1062.86 ||   || **11/6**, 15/8 ||   ||   ||
-|| 32 || ti || 1097.14 || 32/17 ||   || 15/8 || 17/9 ||
+|| 32 || ti || 1097.14 || **32/17** ||   || **15/8** || **17/9** ||
 || 33 || de || 1131.43 ||   ||   ||   ||   ||
 || 34 || da || 1165.71 ||   ||   ||   ||   ||
@@ Line 56: / Line 56: @@
 ||~ Periods
 per octave ||~ Generator ||~ Temperaments with
-flat 3/2 (patent val) ||~ &lt;span style="display: block; text-align: center;"&gt;Temperaments with&lt;/span&gt;
+flat 3/2 (patent val) ||~ &lt;span style="display: block; text-align: center;"&gt;Temperaments with&lt;/span&gt;&lt;span style="display: block; text-align: center;"&gt;sharp 3/2 (35b val)&lt;/span&gt; ||
-&lt;span style="display: block; text-align: center;"&gt;sharp 3/2 (35b val)&lt;/span&gt; ||
 || 1 || 1\35 ||   ||   ||
 || 1 || 2\35 ||   ||   ||
@@ Line 70: / Line 69: @@
 || 1 || 16\35 ||   ||   ||
 || 1 || 17\35 ||   ||   ||
-|| 5 || 1\35 ||   || [[Blackwood]] (very unfair, with 7/6 and 9/7) ||
+|| 5 || 1\35 ||   || [[Blackwood]] (very unfair, favoring 7/6) ||
-|| 5 || 2\35 ||   || [[Blackwood]] (unfair, favoring 6/5) ||
+|| 5 || 2\35 ||   || [[Blackwood]] (unfair, favoring 6/5 and 20/17) ||
-|| 5 || 3\35 ||   || [[Blackwood]] (fair, favoring 5/4) ||
+|| 5 || 3\35 ||   || [[Blackwood]] (fair, favoring 5/4 and 17/14) ||
 || 7 || 1\35 || [[xenharmonic/Apotome family|Whitewood]]/[[xenharmonic/Apotome family#Redwood|Redwood]] ||   ||
 || 7 || 2\35 || [[xenharmonic/Greenwoodmic temperaments#Greenwood|Greenwood]] ||   ||
@@ Line 98: / Line 97: @@
 more in-tune versions of 35edo MOS's and consistent representation of both subgroups. 35edo has the optimal patent val for &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Greenwoodmic%20temperaments"&gt;greenwood&lt;/a&gt; and &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Greenwoodmic%20temperaments#Secund"&gt;secund&lt;/a&gt; temperaments.&lt;br /&gt;
 &lt;br /&gt;
-A good beggining for start to play 35-EDO is with the Sub-diatonic scale, that is a &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/MOS"&gt;MOS&lt;/a&gt; of 3L2s: 9 4 9 9 4.&lt;br /&gt;
+A good beginning for start to play 35-EDO is with the Sub-diatonic scale, that is a &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/MOS"&gt;MOS&lt;/a&gt; of 3L2s: 9 4 9 9 4.&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Intervals&lt;/h1&gt;
   &lt;br /&gt;
-&lt;br /&gt;
+(Bolded ratio indicates that the ratio is most accurately tuned by the given 35-edo interval.)&lt;br /&gt;
@@ Line 129: / Line 128: @@
          &lt;td&gt;0&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1/1&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;1/1&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;(see comma table)&lt;br /&gt;
@@ Line 145: / Line 144: @@
          &lt;td&gt;34.29&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;50/49, 121/119&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;50/49&lt;/strong&gt;, &lt;strong&gt;121/119&lt;/strong&gt;, 33/32&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;36/35&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;36/35&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;25/24&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;81/80&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;81/80&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 163: / Line 162: @@
          &lt;td&gt;128/125&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;25/24&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;25/24&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 177: / Line 176: @@
          &lt;td&gt;102.86&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;17/16&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;17/16&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;16/15&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;16/15&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;18/17&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;18/17&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 195: / Line 194: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;12/11, 16/15&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;12/11&lt;/strong&gt;, 16/15&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 209: / Line 208: @@
          &lt;td&gt;171.43&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;11/10&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;11/10&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 215: / Line 214: @@
          &lt;td&gt;12/11&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;10/9&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;10/9&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 231: / Line 230: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;9/8&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;9/8&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 241: / Line 240: @@
          &lt;td&gt;240&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;8/7&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;8/7&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 257: / Line 256: @@
          &lt;td&gt;274.29&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;20/17&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;20/17&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;7/6&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;7/6&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 275: / Line 274: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;6/5&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;6/5&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 289: / Line 288: @@
          &lt;td&gt;342.86&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;17/14&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;17/14&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 295: / Line 294: @@
          &lt;td&gt;6/5&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;11/9&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;11/9&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 305: / Line 304: @@
          &lt;td&gt;377.14&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;5/4&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;5/4&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 321: / Line 320: @@
          &lt;td&gt;411.43&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;14/11&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;14/11&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 337: / Line 336: @@
          &lt;td&gt;445.71&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;22/17&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;22/17&lt;/strong&gt;, 32/25&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 343: / Line 342: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;9/7&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;9/7&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 365: / Line 364: @@
          &lt;td&gt;15&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;fa(h)&lt;br /&gt;
+         &lt;td&gt;fa&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;514.29&lt;br /&gt;
@@ Line 371: / Line 370: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;4/3&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;4/3&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 385: / Line 384: @@
          &lt;td&gt;548.57&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;11/8&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;11/8&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 401: / Line 400: @@
          &lt;td&gt;582.86&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;7/5&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;7/5&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;24/17&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;24/17&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;17/12&lt;br /&gt;
@@ Line 417: / Line 416: @@
          &lt;td&gt;617.14&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;10/7&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;10/7&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;17/12&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;17/12&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;24/17&lt;br /&gt;
@@ Line 433: / Line 432: @@
          &lt;td&gt;651.43&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;16/11&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;16/11&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 445: / Line 444: @@
          &lt;td&gt;20&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;sa&lt;br /&gt;
+         &lt;td&gt;so&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;685.71&lt;br /&gt;
@@ Line 451: / Line 450: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;3/2&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;3/2&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 461: / Line 460: @@
          &lt;td&gt;21&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;so(h)&lt;br /&gt;
+         &lt;td&gt;sa&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;720&lt;br /&gt;
@@ Line 481: / Line 480: @@
          &lt;td&gt;754.29&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;17/11, 25/16&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;17/11&lt;/strong&gt;, 25/16&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 487: / Line 486: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;14/9&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;14/9&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 497: / Line 496: @@
          &lt;td&gt;788.57&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;11/7&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;11/7&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 513: / Line 512: @@
          &lt;td&gt;822.86&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;8/5&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;8/5&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 535: / Line 534: @@
          &lt;td&gt;5/3&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;18/11&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;18/11&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 547: / Line 546: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;5/3&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;5/3&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 561: / Line 560: @@
          &lt;td&gt;925.71&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;17/10&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;17/10&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;12/7&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;12/7&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 577: / Line 576: @@
          &lt;td&gt;960&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;7/4&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;7/4&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 599: / Line 598: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;16/9&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;16/9&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 609: / Line 608: @@
          &lt;td&gt;1028.57&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;20/11&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;20/11&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 615: / Line 614: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;9/5&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;9/5&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 627: / Line 626: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;11/6, 15/8&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;11/6&lt;/strong&gt;, 15/8&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 641: / Line 640: @@
          &lt;td&gt;1097.14&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;32/17&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;32/17&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;15/8&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;15/8&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;17/9&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;17/9&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 698: / Line 697: @@
 flat 3/2 (patent val)&lt;br /&gt;
 &lt;/th&gt;
-         &lt;th&gt;&lt;span style="display: block; text-align: center;"&gt;Temperaments with&lt;/span&gt;&lt;br /&gt;
+         &lt;th&gt;&lt;span style="display: block; text-align: center;"&gt;Temperaments with&lt;/span&gt;&lt;span style="display: block; text-align: center;"&gt;sharp 3/2 (35b val)&lt;/span&gt;&lt;br /&gt;
-&lt;span style="display: block; text-align: center;"&gt;sharp 3/2 (35b val)&lt;/span&gt;&lt;br /&gt;
 &lt;/th&gt;
      &lt;/tr&gt;
@@ Line 827: / Line 825: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/Blackwood"&gt;Blackwood&lt;/a&gt; (very unfair, with 7/6 and 9/7)&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/Blackwood"&gt;Blackwood&lt;/a&gt; (very unfair, favoring 7/6)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 837: / Line 835: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/Blackwood"&gt;Blackwood&lt;/a&gt; (unfair, favoring 6/5)&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/Blackwood"&gt;Blackwood&lt;/a&gt; (unfair, favoring 6/5 and 20/17)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 847: / Line 845: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/Blackwood"&gt;Blackwood&lt;/a&gt; (fair, favoring 5/4)&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/Blackwood"&gt;Blackwood&lt;/a&gt; (fair, favoring 5/4 and 17/14)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;