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Wikispaces>MasonGreen1 **Imported revision 563198177 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User: | : This revision was by author [[User:MasonGreen1|MasonGreen1]] and made on <tt>2015-10-20 12:22:52 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>563198177</tt>.<br> | ||
: The revision comment was: <tt></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> | 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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|| 32 || 1097.14 | || 32 || 1097.14 | ||
329°<span style="background-color: #ffffff;">8'34"</span> || **32/17** || **28/15** || **15/8** || **17/9** || | 329°<span style="background-color: #ffffff;">8'34"</span> || **32/17** || **28/15** || **15/8** || **17/9** || | ||
|| | || 33 || 1131.43 | ||
339°<span style="background-color: #ffffff;">25'43"</span> || || || || || | 339°<span style="background-color: #ffffff;">25'43"</span> || || || || || | ||
|| 34 || 1165.71 | || 34 || 1165.71 | ||
| Line 651: | Line 651: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>33<br /> | ||
</td> | </td> | ||
<td>1131.43<br /> | <td>1131.43<br /> | ||
Revision as of 12:22, 20 October 2015
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author MasonGreen1 and made on 2015-10-20 12:22:52 UTC.
- The original revision id was 563198177.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
35-tET or 35-[[xenharmonic/edo|EDO]] refers to a tuning system which divides the octave into 35 steps of approximately [[xenharmonic/cent|34.29¢]] each. As 35 is 5 times 7, 35edo allows for mixing the two smallest xenharmonic [[xenharmonic/macrotonal edos|macrotonal edos]]: [[xenharmonic/5edo|5edo]] and [[xenharmonic/7edo|7edo]]. A single degree of 35edo represents the difference between 7edo's narrow fifth of 685.71¢ and 5edo's wide fifth of 720¢. Because it includes 7edo, 35edo tunes the 29th harmonic with +1 cent of error. 35edo can also represent the 2.3.5.7.11.17 [[xenharmonic/Just intonation subgroups|subgroup]] and 2.9.5.7.11.17 subgroup, because of the accuracy of 9 and the flatness of all other subgroup generators (7/5 and 17/11 stand out, having less than 1 cent error). Therefore among whitewood tunings it is very versatile; you can switch between these different subgroups if you don't mind having to use two different 3/2s to reach the inconsistent 9 (a characteristic of whitewood tunings), and if you ignore [[xenharmonic/22edo|22edo]]'s 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, as well as 11-limit [[Magic family#Muggles-11-limit%7D|muggles]], and the 35f val is an excellent tuning for 13-limit muggles. 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 || Cents value DMS value || Ratios in 2.5.7.11.17 subgroup || Ratios with flat 3 || Ratios with sharp 3 || Ratios with patent 9 || || 0 || 0 || **1/1** || (see comma table) || || || || 1 || 34.29 10°<span style="background-color: #ffffff;">17'9"</span> || **50/49**, **121/119**, 33/32 || **36/35** || 25/24 || **81/80** || || 2 || 68.57 20°<span style="background-color: #ffffff;">34'17"</span> || 128/125 || **25/24** || 81/80 || || || 3 || 102.86 30°<span style="background-color: #ffffff;">51'26"</span> || **17/16** || **15/14** || **16/15** || **18/17** || || 4 || 137.14 41°<span style="background-color: #ffffff;">8'34"</span> || || **12/11**, 16/15 || || || || 5 || 171.43 <span style="background-color: #ffffff;">51°25'43"</span> || **11/10** || || 12/11 || **10/9** || || 6 || 205.71 61°<span style="background-color: #ffffff;">42'51"</span> || || || || **9/8** || || 7 || 240 72° || **8/7** || || 7/6 || || || 8 || 274.29 82°<span style="background-color: #ffffff;">17'9"</span> || **20/17** || **7/6** || || || || 9 || 308.57 92°<span style="background-color: #ffffff;">34'17"</span> || || **6/5** || || || || 10 || 342.86 <span style="background-color: #ffffff;">102°51'26"</span> || **17/14** || || 6/5 || **11/9** || || 11 || 377.14 113°<span style="background-color: #ffffff;">8'34"</span> || **5/4** || || || || || 12 || 411.43 123°<span style="background-color: #ffffff;">25'43"</span> || **14/11** || || || || || 13 || 445.71 133°<span style="background-color: #ffffff;">42'51"</span> || **22/17**, 32/25 || || || **9/7** || || 14 || 480 144° || || || 4/3, **21/16** || || || 15 || 514.29 <span style="background-color: #ffffff;">154°17'9"</span> || || **4/3** || || || || 16 || 548.57 164°<span style="background-color: #ffffff;">34'17"</span> || **11/8** || || || || || 17 || 582.86 174°<span style="background-color: #ffffff;">51'26"</span> || **7/5** || **24/17** || 17/12 || || || 18 || 617.14 185°<span style="background-color: #ffffff;">8'34"</span> || **10/7** || **17/12** || 24/17 || || || 19 || 651.43 195°<span style="background-color: #ffffff;">25'43"</span> || **16/11** || || || || || 20 || 685.71 <span style="background-color: #ffffff;">205°42'51"</span> || || **3/2** || || || || 21 || 720 216° || || || 3/2, **32/21** || || || 22 || 754.29 226°<span style="background-color: #ffffff;">17'9"</span> || **17/11**, 25/16 || || || **14/9** || || 23 || 788.57 236°<span style="background-color: #ffffff;">34'17"</span> || **11/7** || || || || || 24 || 822.86 246°<span style="background-color: #ffffff;">51'26"</span> || **8/5** || || || || || 25 || 857.14 <span style="background-color: #ffffff;">257°8'34"</span> || **28/17** || || 5/3 || **18/11** || || 26 || 891.43 267°<span style="background-color: #ffffff;">25'43"</span> || || **5/3** || || || || 27 || 925.71 277°<span style="background-color: #ffffff;">42'51"</span> || **17/10** || **12/7** || || || || 28 || 960 288° || **7/4** || || || || || 29 || 994.29 298°<span style="background-color: #ffffff;">17'9"</span> || || || || **16/9** || || 30 || 1028.57 <span style="background-color: #ffffff;">308°34'17"</span> || **20/11** || || || **9/5** || || 31 || 1062.86 318°<span style="background-color: #ffffff;">51'26"</span> || || **11/6**, 15/8 || || || || 32 || 1097.14 329°<span style="background-color: #ffffff;">8'34"</span> || **32/17** || **28/15** || **15/8** || **17/9** || || 33 || 1131.43 339°<span style="background-color: #ffffff;">25'43"</span> || || || || || || 34 || 1165.71 349°<span style="background-color: #ffffff;">42'51"</span> || || || || || =Rank two temperaments= ||~ Periods per octave ||~ Generator ||~ Temperaments with flat 3/2 (patent val) ||~ <span style="display: block; text-align: center;">Temperaments with sharp 3/2 (35b val)</span> || || 1 || 1\35 || || || || 1 || 2\35 || || || || 1 || 3\35 || || [[Ripple]] || || 1 || 4\35 || [[xenharmonic/Greenwoodmic temperaments#Secund|Secund]] || || || 1 || 6\35 |||| Messed-up [[Chromatic pairs#Baldy|Baldy]] || || 1 || 8\35 || || Messed-up [[Orwell]] || || 1 || 9\35 || [[xenharmonic/Myna|Myna]] || || || 1 || 11\35 || [[Magic family#Muggles|Muggles]] || || || 1 || 12\35 || || [[Avicennmic temperaments#Roman|Roman]] || || 1 || 13\35 |||| Inconsistent 2.9'/7.5/3 [[Sensi]] || || 1 || 16\35 || || || || 1 || 17\35 || || || || 5 || 1\35 || || [[Blackwood]] (favoring 7/6) || || 5 || 2\35 || || [[Blackwood]] (favoring 6/5 and 20/17) || || 5 || 3\35 || || [[Blackwood]] (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]] || || =<span style="background-color: #ffffff;">Scales</span>= == == ==<span style="background-color: #ffffff;">Commas</span>== 35EDO tempers out the following commas. (Note: This assumes the val <35 55 81 98 121 130|.) ||~ **Comma** ||~ **Monzo** ||~ **Value (Cents)** ||~ **Name 1** ||~ **Name 2** ||~ **Name 3** || ||= 2187/2048 || | -11 7 > ||> 113.69 ||= Apotome ||= Whitewood comma || || ||= 6561/6250 || | -1 8 -5 > ||> 84.07 ||= Ripple comma ||= || || ||= 10077696/9765625 || | 9 9 -10 > ||> 54.46 ||= Mynic comma ||= || || ||= 3125/3072 || | -10 -1 5 > ||> 29.61 ||= Small diesis ||= Magic comma || || ||= 405/392 || | -3 4 1 -2 > ||> 56.48 ||= Greenwoodma ||= || || ||= 16807/16384 || | -14 0 0 5 > ||> 44.13 ||= ||= || || ||= 525/512 || | -9 1 2 1 > ||> 43.41 ||= Avicennma ||= || || ||= 126/125 || | 1 2 -3 1 > ||> 13.79 ||= Starling comma ||= Septimal semicomma || || ||= 99/98 || | -1 2 0 -2 1 > ||> 17.58 ||= Mothwellsma ||= || || ||= 66/65 || | 1 1 -1 0 1 -1 > ||> 26.43 ||= ||= || || == == ==Music== [[@http://soonlabel.com/xenharmonic/archives/2348|Little Prelude & Fugue, "The Bijingle" by Claudi Meneghin]] [[@http://www.archive.org/download/Transcendissonance/05Self-destructingMechanicalForest-CityOfTheAsleep.mp3|Self-Destructing Mechanical Forest]] by Chuckles McGee (in Secund[9])
Original HTML content:
<html><head><title>35edo</title></head><body>35-tET or 35-<a class="wiki_link" href="http://xenharmonic.wikispaces.com/edo">EDO</a> refers to a tuning system which divides the octave into 35 steps of approximately <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cent">34.29¢</a> each.<br />
<br />
As 35 is 5 times 7, 35edo allows for mixing the two smallest xenharmonic <a class="wiki_link" href="http://xenharmonic.wikispaces.com/macrotonal%20edos">macrotonal edos</a>: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/5edo">5edo</a> and <a class="wiki_link" href="http://xenharmonic.wikispaces.com/7edo">7edo</a>. A single degree of 35edo represents the difference between 7edo's narrow fifth of 685.71¢ and 5edo's wide fifth of 720¢. Because it includes 7edo, 35edo tunes the 29th harmonic with +1 cent of error. 35edo can also represent the 2.3.5.7.11.17 <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Just%20intonation%20subgroups">subgroup</a> and 2.9.5.7.11.17 subgroup, because of the accuracy of 9 and the flatness of all other subgroup generators (7/5 and 17/11 stand out, having less than 1 cent error). Therefore among whitewood tunings it is very versatile; you can switch between these different subgroups if you don't mind having to use two different 3/2s to reach the inconsistent 9 (a characteristic of whitewood tunings), and if you ignore <a class="wiki_link" href="http://xenharmonic.wikispaces.com/22edo">22edo</a>'s 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, as well as 11-limit <a class="wiki_link" href="/Magic%20family#Muggles-11-limit%7D">muggles</a>, and the 35f val is an excellent tuning for 13-limit muggles.<br />
<br />
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.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Intervals"></a><!-- ws:end:WikiTextHeadingRule:0 -->Intervals</h1>
<br />
(Bolded ratio indicates that the ratio is most accurately tuned by the given 35-edo interval.)<br />
<table class="wiki_table">
<tr>
<td>Degrees<br />
</td>
<td>Cents value<br />
DMS value<br />
</td>
<td>Ratios in 2.5.7.11.17 subgroup<br />
</td>
<td>Ratios with flat 3<br />
</td>
<td>Ratios with sharp 3<br />
</td>
<td>Ratios with patent 9<br />
</td>
</tr>
<tr>
<td>0<br />
</td>
<td>0<br />
</td>
<td><strong>1/1</strong><br />
</td>
<td>(see comma table)<br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>34.29<br />
10°<span style="background-color: #ffffff;">17'9"</span><br />
</td>
<td><strong>50/49</strong>, <strong>121/119</strong>, 33/32<br />
</td>
<td><strong>36/35</strong><br />
</td>
<td>25/24<br />
</td>
<td><strong>81/80</strong><br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td>68.57<br />
20°<span style="background-color: #ffffff;">34'17"</span><br />
</td>
<td>128/125<br />
</td>
<td><strong>25/24</strong><br />
</td>
<td>81/80<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td>102.86<br />
30°<span style="background-color: #ffffff;">51'26"</span><br />
</td>
<td><strong>17/16</strong><br />
</td>
<td><strong>15/14</strong><br />
</td>
<td><strong>16/15</strong><br />
</td>
<td><strong>18/17</strong><br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td>137.14<br />
41°<span style="background-color: #ffffff;">8'34"</span><br />
</td>
<td><br />
</td>
<td><strong>12/11</strong>, 16/15<br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td>171.43<br />
<span style="background-color: #ffffff;">51°25'43"</span><br />
</td>
<td><strong>11/10</strong><br />
</td>
<td><br />
</td>
<td>12/11<br />
</td>
<td><strong>10/9</strong><br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td>205.71<br />
61°<span style="background-color: #ffffff;">42'51"</span><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><strong>9/8</strong><br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td>240<br />
72°<br />
</td>
<td><strong>8/7</strong><br />
</td>
<td><br />
</td>
<td>7/6<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td>274.29<br />
82°<span style="background-color: #ffffff;">17'9"</span><br />
</td>
<td><strong>20/17</strong><br />
</td>
<td><strong>7/6</strong><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td>308.57<br />
92°<span style="background-color: #ffffff;">34'17"</span><br />
</td>
<td><br />
</td>
<td><strong>6/5</strong><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td>342.86<br />
<span style="background-color: #ffffff;">102°51'26"</span><br />
</td>
<td><strong>17/14</strong><br />
</td>
<td><br />
</td>
<td>6/5<br />
</td>
<td><strong>11/9</strong><br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td>377.14<br />
113°<span style="background-color: #ffffff;">8'34"</span><br />
</td>
<td><strong>5/4</strong><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>12<br />
</td>
<td>411.43<br />
123°<span style="background-color: #ffffff;">25'43"</span><br />
</td>
<td><strong>14/11</strong><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>13<br />
</td>
<td>445.71<br />
133°<span style="background-color: #ffffff;">42'51"</span><br />
</td>
<td><strong>22/17</strong>, 32/25<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><strong>9/7</strong><br />
</td>
</tr>
<tr>
<td>14<br />
</td>
<td>480<br />
144°<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>4/3, <strong>21/16</strong><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>15<br />
</td>
<td>514.29<br />
<span style="background-color: #ffffff;">154°17'9"</span><br />
</td>
<td><br />
</td>
<td><strong>4/3</strong><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>16<br />
</td>
<td>548.57<br />
164°<span style="background-color: #ffffff;">34'17"</span><br />
</td>
<td><strong>11/8</strong><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>17<br />
</td>
<td>582.86<br />
174°<span style="background-color: #ffffff;">51'26"</span><br />
</td>
<td><strong>7/5</strong><br />
</td>
<td><strong>24/17</strong><br />
</td>
<td>17/12<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>18<br />
</td>
<td>617.14<br />
185°<span style="background-color: #ffffff;">8'34"</span><br />
</td>
<td><strong>10/7</strong><br />
</td>
<td><strong>17/12</strong><br />
</td>
<td>24/17<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>19<br />
</td>
<td>651.43<br />
195°<span style="background-color: #ffffff;">25'43"</span><br />
</td>
<td><strong>16/11</strong><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>20<br />
</td>
<td>685.71<br />
<span style="background-color: #ffffff;">205°42'51"</span><br />
</td>
<td><br />
</td>
<td><strong>3/2</strong><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>21<br />
</td>
<td>720<br />
216°<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>3/2, <strong>32/21</strong><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>22<br />
</td>
<td>754.29<br />
226°<span style="background-color: #ffffff;">17'9"</span><br />
</td>
<td><strong>17/11</strong>, 25/16<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><strong>14/9</strong><br />
</td>
</tr>
<tr>
<td>23<br />
</td>
<td>788.57<br />
236°<span style="background-color: #ffffff;">34'17"</span><br />
</td>
<td><strong>11/7</strong><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>24<br />
</td>
<td>822.86<br />
246°<span style="background-color: #ffffff;">51'26"</span><br />
</td>
<td><strong>8/5</strong><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>25<br />
</td>
<td>857.14<br />
<span style="background-color: #ffffff;">257°8'34"</span><br />
</td>
<td><strong>28/17</strong><br />
</td>
<td><br />
</td>
<td>5/3<br />
</td>
<td><strong>18/11</strong><br />
</td>
</tr>
<tr>
<td>26<br />
</td>
<td>891.43<br />
267°<span style="background-color: #ffffff;">25'43"</span><br />
</td>
<td><br />
</td>
<td><strong>5/3</strong><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>27<br />
</td>
<td>925.71<br />
277°<span style="background-color: #ffffff;">42'51"</span><br />
</td>
<td><strong>17/10</strong><br />
</td>
<td><strong>12/7</strong><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>28<br />
</td>
<td>960<br />
288°<br />
</td>
<td><strong>7/4</strong><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>29<br />
</td>
<td>994.29<br />
298°<span style="background-color: #ffffff;">17'9"</span><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><strong>16/9</strong><br />
</td>
</tr>
<tr>
<td>30<br />
</td>
<td>1028.57<br />
<span style="background-color: #ffffff;">308°34'17"</span><br />
</td>
<td><strong>20/11</strong><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><strong>9/5</strong><br />
</td>
</tr>
<tr>
<td>31<br />
</td>
<td>1062.86<br />
318°<span style="background-color: #ffffff;">51'26"</span><br />
</td>
<td><br />
</td>
<td><strong>11/6</strong>, 15/8<br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>32<br />
</td>
<td>1097.14<br />
329°<span style="background-color: #ffffff;">8'34"</span><br />
</td>
<td><strong>32/17</strong><br />
</td>
<td><strong>28/15</strong><br />
</td>
<td><strong>15/8</strong><br />
</td>
<td><strong>17/9</strong><br />
</td>
</tr>
<tr>
<td>33<br />
</td>
<td>1131.43<br />
339°<span style="background-color: #ffffff;">25'43"</span><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>34<br />
</td>
<td>1165.71<br />
349°<span style="background-color: #ffffff;">42'51"</span><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
</table>
<!-- ws:start:WikiTextHeadingRule:2:<h1> --><h1 id="toc1"><a name="Rank two temperaments"></a><!-- ws:end:WikiTextHeadingRule:2 -->Rank two temperaments</h1>
<br />
<table class="wiki_table">
<tr>
<th>Periods<br />
per octave<br />
</th>
<th>Generator<br />
</th>
<th>Temperaments with<br />
flat 3/2 (patent val)<br />
</th>
<th><span style="display: block; text-align: center;">Temperaments with sharp 3/2 (35b val)</span><br />
</th>
</tr>
<tr>
<td>1<br />
</td>
<td>1\35<br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>2\35<br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>3\35<br />
</td>
<td><br />
</td>
<td><a class="wiki_link" href="/Ripple">Ripple</a><br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>4\35<br />
</td>
<td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Greenwoodmic%20temperaments#Secund">Secund</a><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>6\35<br />
</td>
<td colspan="2">Messed-up <a class="wiki_link" href="/Chromatic%20pairs#Baldy">Baldy</a><br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>8\35<br />
</td>
<td><br />
</td>
<td>Messed-up <a class="wiki_link" href="/Orwell">Orwell</a><br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>9\35<br />
</td>
<td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Myna">Myna</a><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>11\35<br />
</td>
<td><a class="wiki_link" href="/Magic%20family#Muggles">Muggles</a><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>12\35<br />
</td>
<td><br />
</td>
<td><a class="wiki_link" href="/Avicennmic%20temperaments#Roman">Roman</a><br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>13\35<br />
</td>
<td colspan="2">Inconsistent 2.9'/7.5/3 <a class="wiki_link" href="/Sensi">Sensi</a><br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>16\35<br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>17\35<br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td>1\35<br />
</td>
<td><br />
</td>
<td><a class="wiki_link" href="/Blackwood">Blackwood</a> (favoring 7/6)<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td>2\35<br />
</td>
<td><br />
</td>
<td><a class="wiki_link" href="/Blackwood">Blackwood</a> (favoring 6/5 and 20/17)<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td>3\35<br />
</td>
<td><br />
</td>
<td><a class="wiki_link" href="/Blackwood">Blackwood</a> (favoring 5/4 and 17/14)<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td>1\35<br />
</td>
<td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Apotome%20family">Whitewood</a>/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Apotome%20family#Redwood">Redwood</a><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td>2\35<br />
</td>
<td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Greenwoodmic%20temperaments#Greenwood">Greenwood</a><br />
</td>
<td><br />
</td>
</tr>
</table>
<!-- ws:start:WikiTextHeadingRule:4:<h1> --><h1 id="toc2"><a name="Scales"></a><!-- ws:end:WikiTextHeadingRule:4 --><span style="background-color: #ffffff;">Scales</span></h1>
<!-- ws:start:WikiTextHeadingRule:6:<h2> --><h2 id="toc3"><!-- ws:end:WikiTextHeadingRule:6 --> </h2>
<!-- ws:start:WikiTextHeadingRule:8:<h2> --><h2 id="toc4"><a name="Scales-Commas"></a><!-- ws:end:WikiTextHeadingRule:8 --><span style="background-color: #ffffff;">Commas</span></h2>
35EDO tempers out the following commas. (Note: This assumes the val <35 55 81 98 121 130|.)<br />
<table class="wiki_table">
<tr>
<th><strong>Comma</strong><br />
</th>
<th><strong>Monzo</strong><br />
</th>
<th><strong>Value (Cents)</strong><br />
</th>
<th><strong>Name 1</strong><br />
</th>
<th><strong>Name 2</strong><br />
</th>
<th><strong>Name 3</strong><br />
</th>
</tr>
<tr>
<td style="text-align: center;">2187/2048<br />
</td>
<td>| -11 7 ><br />
</td>
<td style="text-align: right;">113.69<br />
</td>
<td style="text-align: center;">Apotome<br />
</td>
<td style="text-align: center;">Whitewood comma<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td style="text-align: center;">6561/6250<br />
</td>
<td>| -1 8 -5 ><br />
</td>
<td style="text-align: right;">84.07<br />
</td>
<td style="text-align: center;">Ripple comma<br />
</td>
<td style="text-align: center;"><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td style="text-align: center;">10077696/9765625<br />
</td>
<td>| 9 9 -10 ><br />
</td>
<td style="text-align: right;">54.46<br />
</td>
<td style="text-align: center;">Mynic comma<br />
</td>
<td style="text-align: center;"><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td style="text-align: center;">3125/3072<br />
</td>
<td>| -10 -1 5 ><br />
</td>
<td style="text-align: right;">29.61<br />
</td>
<td style="text-align: center;">Small diesis<br />
</td>
<td style="text-align: center;">Magic comma<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td style="text-align: center;">405/392<br />
</td>
<td>| -3 4 1 -2 ><br />
</td>
<td style="text-align: right;">56.48<br />
</td>
<td style="text-align: center;">Greenwoodma<br />
</td>
<td style="text-align: center;"><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td style="text-align: center;">16807/16384<br />
</td>
<td>| -14 0 0 5 ><br />
</td>
<td style="text-align: right;">44.13<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td style="text-align: center;">525/512<br />
</td>
<td>| -9 1 2 1 ><br />
</td>
<td style="text-align: right;">43.41<br />
</td>
<td style="text-align: center;">Avicennma<br />
</td>
<td style="text-align: center;"><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td style="text-align: center;">126/125<br />
</td>
<td>| 1 2 -3 1 ><br />
</td>
<td style="text-align: right;">13.79<br />
</td>
<td style="text-align: center;">Starling comma<br />
</td>
<td style="text-align: center;">Septimal semicomma<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td style="text-align: center;">99/98<br />
</td>
<td>| -1 2 0 -2 1 ><br />
</td>
<td style="text-align: right;">17.58<br />
</td>
<td style="text-align: center;">Mothwellsma<br />
</td>
<td style="text-align: center;"><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td style="text-align: center;">66/65<br />
</td>
<td>| 1 1 -1 0 1 -1 ><br />
</td>
<td style="text-align: right;">26.43<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
<td><br />
</td>
</tr>
</table>
<!-- ws:start:WikiTextHeadingRule:10:<h2> --><h2 id="toc5"><!-- ws:end:WikiTextHeadingRule:10 --> </h2>
<br />
<!-- ws:start:WikiTextHeadingRule:12:<h2> --><h2 id="toc6"><a name="Scales-Music"></a><!-- ws:end:WikiTextHeadingRule:12 -->Music</h2>
<a class="wiki_link_ext" href="http://soonlabel.com/xenharmonic/archives/2348" rel="nofollow" target="_blank">Little Prelude & Fugue, "The Bijingle" by Claudi Meneghin</a><br />
<a class="wiki_link_ext" href="http://www.archive.org/download/Transcendissonance/05Self-destructingMechanicalForest-CityOfTheAsleep.mp3" rel="nofollow" target="_blank">Self-Destructing Mechanical Forest</a> by Chuckles McGee (in Secund[9])</body></html>