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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | {{Infobox ET}} |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | {{ED intro}} |
| : This revision was by author [[User:x31eq|x31eq]] and made on <tt>2014-08-31 10:15:16 UTC</tt>.<br>
| |
| : The original revision id was <tt>520246508</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>
| |
| <h4>Original Wikitext content:</h4>
| |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">
| |
| The 60 equal division divides the octave into 60 parts of exactly 20 cents each. Since 60 = 5 * 12, it belongs to the family of edos which contain 12edo, and like the other small edos of this kind, it tempers out the [[Pythagorean comma]], 531441/524288 = |-19 12>. In the 5-limit, it tempers out both the magic comma, 3125/3072, and the amity comma, 1600000/1594323, and supplies the optimal patent val for 5-limit magic, tempering out 3125/3072. In the 7-limit it tempers out 875/864, 245/243, 225/224 and 10976/10935, and supports [[magic]], [[compton]] and [[tritonic]] temperaments. In the 11-limit, the 60e val scores lower in badness than the patent val, and makes for an excellent tritonic tuning. It tempers out 121/120 and 441/440, whereas the patent val tempers out 100/99, 385/384 and 540/539. The tuning of 13 is superb at half a cent flat, and the 60e val also works excellently for 13-limit tritonic. As a no-fives val, it is also excellent for the 2.3.7.11.13 [[Chromatic pairs#Bleu|bleu temperament]].
| |
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| |
|
| =Intervals= | | == Theory == |
| || degrees of 60edo || cents value || approximate ratios in the 2.3.5.13 subgroup || additional ratios of 7 and 11 (assuming flat values for primes) || | | Since {{nowrap| 60 {{=}} 5 × 12 }}, 60edo belongs to the family of edos which contain [[12edo]], and like the other small edos of this kind, it [[tempering out|tempers out]] the [[Pythagorean comma]], 531441/524288 ({{monzo| -19 12 }}). In the [[5-limit]], it tempers out both the [[magic comma]], 3125/3072, and the [[amity comma]], 1600000/1594323, and supplies the [[optimal patent val]] for 5-limit [[magic]]. In the [[7-limit]] it tempers out [[225/224]], [[245/243]], [[875/864]], and [[10976/10935]], and [[support]]s [[magic]], [[compton]] and [[tritonic]] temperaments. In the [[11-limit]], the 60e [[val]] {{val| 60 95 139 168 '''207''' }} scores lower in [[badness]] than the [[patent val]] {{val| 60 95 139 168 '''208''' }} and makes for an excellent tritonic tuning. It tempers out [[121/120]] and [[441/440]], whereas the patent val tempers out [[100/99]], [[385/384]] and [[540/539]]. The tuning of 13 is superb at half a cent flat, and the 60e val also works excellently for [[13-limit]] tritonic. As a no-fives [[subgroup temperament]], it is also excellent for the 2.3.7.11.13-subgroup [[bleu]] temperament, using the 60d val. |
| || 0 || 0 || || ||
| |
| || 1 || 20 || || ||
| |
| || 2 || 40 || || ||
| |
| || 3 || 60 || || ||
| |
| || 4 || 80 || || ||
| |
| || 5 || 100 || || ||
| |
| || 6 || 120 || 16/15 || ||
| |
| || 7 || 140 || || ||
| |
| || 8 || 160 || || 12/11, 11/10 ||
| |
| || 9 || 180 || 10/9 || ||
| |
| || 10 || 200 || 9/8 || ||
| |
| || 11 || 220 || || ||
| |
| || 12 || 240 || 15/13 || 8/7 ||
| |
| || 13 || 260 || || 7/6 ||
| |
| || 14 || 280 || || ||
| |
| || 15 || 300 || || ||
| |
| || 16 || 320 || || ||
| |
| || 17 || 340 || || 11/9 ||
| |
| || 18 || 360 || 16/13 || ||
| |
| || 19 || 380 || || ||
| |
| || 20 || 400 || || ||
| |
| || 21 || 420 || || 14/11 ||
| |
| || 22 || 440 || || 9/7 ||
| |
| || 23 || 460 || 13/10 || ||
| |
| || 24 || 480 || || ||
| |
| || 25 || 500 || 4/3 || ||
| |
| || 26 || 520 || || ||
| |
| || 27 || 540 || || 11/8, 15/11 ||
| |
| || 28 || 560 || 18/13 || ||
| |
| || 29 || 580 || || 7/5 ||
| |
| || 30 || 600 || || ||
| |
| || 31 || 620 || || 10/7 ||
| |
| || 32 || 640 || 13/8 || ||
| |
| || 33 || 660 || || 16/11, 22/15 ||
| |
| || 34 || 680 || || ||
| |
| || 35 || 700 || 3/2 || ||
| |
| || 36 || 720 || || ||
| |
| || 37 || 740 || 20/13 || ||
| |
| || 38 || 760 || || 14/9 ||
| |
| || 39 || 780 || || 11/7 ||
| |
| || 40 || 800 || || ||
| |
| || 41 || 820 || || ||
| |
| || 42 || 840 || 13/8 || ||
| |
| || 43 || 860 || || 18/11 ||
| |
| || 44 || 880 || || ||
| |
| || 45 || 900 || || ||
| |
| || 46 || 920 || || ||
| |
| || 47 || 940 || || 12/7 ||
| |
| || 48 || 960 || 26/15 || 7/4 ||
| |
| || 49 || 980 || || ||
| |
| || 50 || 1000 || 16/9 || ||
| |
| || 51 || 1020 || 9/5 || ||
| |
| || 52 || 1040 || || 11/6, 20/11 ||
| |
| || 53 || 1060 || || ||
| |
| || 54 || 1080 || 15/8 || ||
| |
| || 55 || 1100 || || ||
| |
| || 56 || 1120 || || ||
| |
| || 57 || 1140 || || ||
| |
| || 58 || 1160 || || ||
| |
| || 59 || 1180 || || ||
| |
| || 60 || 1200 || || ||
| |
|
| |
|
| | === Odd harmonics === |
| | {{Harmonics in equal|60}} |
|
| |
|
| =Compositions= | | === Subsets and supersets === |
| [[http://eceserv0.ece.wisc.edu/%7Esethares/mp3s/rojqoq.html|Rojqoq (So-Called Peace)]] [[http://micro.soonlabel.com/gene_ward_smith/Others/Sethares/Rojqoq.mp3|play]] by William Sethares | | 60edo is the 9th [[highly composite edo]], with subset edos {{EDOs| 2, 3, 4, 5, 6, 10, 12, 15, 20, and 30 }}. In addition, it is of largest consistency among highly composite edos for its size, being consistent in the 9-odd-limit, and all such edos all the way to [[27720edo]] are consistent in only at most 7-odd-limit. |
| [[http://youtu.be/1rrgmP9VYQU|Skating On Thin Ice]] [[http://micro.soonlabel.com/gene_ward_smith/Others/Perry/Skating%20On%20Thin%20Ice.mp3|play]]
| |
| [[http://youtu.be/5GIZOYMkkJ0|My Mother Said So]] [[http://micro.soonlabel.com/gene_ward_smith/Others/Perry/My%20Mother%20Said%20So.mp3|play]]
| |
| [[http://www.macjams.com/song/62273|Black Salt - White Pepper]] [[http://micro.soonlabel.com/gene_ward_smith/Others/Perry/Black%20Salt%20-%20White%20Pepper.mp3|play]]
| |
| [[http://www.macjams.com/song/64413|NGC 300]][[http://micro.soonlabel.com/gene_ward_smith/Others/Perry/NGC%20300.mp3|play]]
| |
| all by Robin Perry | |
| [[http://x31eq.com/music/dingshi.mp3|Dingshi]] and | |
| [[http://x31eq.com/music/jitter.ogg|Gene's Jitterbug (ogg)]] [[http://micro.soonlabel.com/gene_ward_smith/Others/Breed/jitter.mp3|Gene's Jitterbug (mp3)]] [[http://x31eq.com/music/jitter60.pdf|Score]]
| |
| by Graham Breed
| |
|
| |
|
| =Images=
| | A step of 60edo is exactly 9 [[dexl]]s, or exactly 41 [[mina]]s. |
| [[image:60edo wheel with cents values.png width="560" height="560"]] | |
| [[image:blue_60edo.png]] | |
|
| |
|
| [[image:60edoguitar.jpg]] | | == Intervals == |
| Robin Perry guitar</pre></div>
| | {| class="wikitable center-all right-2 left-3 left-4" |
| <h4>Original HTML content:</h4>
| | |- |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>60edo</title></head><body><br />
| | ! Degrees |
| The 60 equal division divides the octave into 60 parts of exactly 20 cents each. Since 60 = 5 * 12, it belongs to the family of edos which contain 12edo, and like the other small edos of this kind, it tempers out the <a class="wiki_link" href="/Pythagorean%20comma">Pythagorean comma</a>, 531441/524288 = |-19 12&gt;. In the 5-limit, it tempers out both the magic comma, 3125/3072, and the amity comma, 1600000/1594323, and supplies the optimal patent val for 5-limit magic, tempering out 3125/3072. In the 7-limit it tempers out 875/864, 245/243, 225/224 and 10976/10935, and supports <a class="wiki_link" href="/magic">magic</a>, <a class="wiki_link" href="/compton">compton</a> and <a class="wiki_link" href="/tritonic">tritonic</a> temperaments. In the 11-limit, the 60e val scores lower in badness than the patent val, and makes for an excellent tritonic tuning. It tempers out 121/120 and 441/440, whereas the patent val tempers out 100/99, 385/384 and 540/539. The tuning of 13 is superb at half a cent flat, and the 60e val also works excellently for 13-limit tritonic. As a no-fives val, it is also excellent for the 2.3.7.11.13 <a class="wiki_link" href="/Chromatic%20pairs#Bleu">bleu temperament</a>.<br />
| | ! Cents |
| <br />
| | ! Approximate ratios<br>in the 2.3.5.7.13.17 subgroup |
| <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Intervals"></a><!-- ws:end:WikiTextHeadingRule:0 -->Intervals</h1>
| | ! Additional ratios<br>of 11 (tending flat, 60e val) |
|
| | |- |
| | | 0 |
| | | 0 |
| | | [[1/1]] |
| | | |
| | |- |
| | | 1 |
| | | 20 |
| | | [[81/80]], ''[[49/48]]'' |
| | | |
| | |- |
| | | 2 |
| | | 40 |
| | | [[50/49]], ''[[64/63]]'' |
| | | ''[[33/32]]'' |
| | |- |
| | | 3 |
| | | 60 |
| | | ''[[25/24]]'', [[28/27]], ''[[36/35]]'' |
| | | |
| | |- |
| | | 4 |
| | | 80 |
| | | [[21/20]] |
| | | |
| | |- |
| | | 5 |
| | | 100 |
| | | [[17/16]], [[18/17]] |
| | | |
| | |- |
| | | 6 |
| | | 120 |
| | | [[16/15]], [[15/14]], [[14/13]] |
| | | |
| | |- |
| | | 7 |
| | | 140 |
| | | [[13/12]] |
| | | |
| | |- |
| | | 8 |
| | | 160 |
| | | |
| | | [[12/11]], [[11/10]] |
| | |- |
| | | 9 |
| | | 180 |
| | | [[10/9]] |
| | | |
| | |- |
| | | 10 |
| | | 200 |
| | | [[9/8]] |
| | | |
| | |- |
| | | 11 |
| | | 220 |
| | | [[17/15]] |
| | | |
| | |- |
| | | 12 |
| | | 240 |
| | | [[8/7]], [[15/13]] |
| | | |
| | |- |
| | | 13 |
| | | 260 |
| | | [[7/6]] |
| | | |
| | |- |
| | | 14 |
| | | 280 |
| | | [[20/17]] |
| | | [[33/28]] |
| | |- |
| | | 15 |
| | | 300 |
| | | [[32/27]] |
| | | ''[[13/11]]'' |
| | |- |
| | | 16 |
| | | 320 |
| | | [[6/5]] |
| | | |
| | |- |
| | | 17 |
| | | 340 |
| | | [[39/32]], [[17/14]] |
| | | [[11/9]] |
| | |- |
| | | 18 |
| | | 360 |
| | | [[16/13]], [[21/17]] |
| | | [[27/22]] |
| | |- |
| | | 19 |
| | | 380 |
| | | [[5/4]] |
| | | |
| | |- |
| | | 20 |
| | | 400 |
| | | [[81/64]] |
| | | ''[[33/26]]'' |
| | |- |
| | | 21 |
| | | 420 |
| | | |
| | | [[14/11]] |
| | |- |
| | | 22 |
| | | 440 |
| | | [[9/7]] |
| | | [[22/17]] |
| | |- |
| | | 23 |
| | | 460 |
| | | ''[[21/16]]'', [[13/10]], [[17/13]] |
| | | |
| | |- |
| | | 24 |
| | | 480 |
| | | |
| | | |
| | |- |
| | | 25 |
| | | 500 |
| | | [[4/3]] |
| | | |
| | |- |
| | | 26 |
| | | 520 |
| | | [[27/20]] |
| | | |
| | |- |
| | | 27 |
| | | 540 |
| | | |
| | | ''[[11/8]]'', [[15/11]] |
| | |- |
| | | 28 |
| | | 560 |
| | | [[18/13]] |
| | | |
| | |- |
| | | 29 |
| | | 580 |
| | | [[7/5]] |
| | | |
| | |- |
| | | 30 |
| | | 600 |
| | | [[17/12]], [[24/17]] |
| | | |
| | |- |
| | | 31 |
| | | 620 |
| | | [[10/7]] |
| | | |
| | |- |
| | | 32 |
| | | 640 |
| | | [[13/9]] |
| | | |
| | |- |
| | | 33 |
| | | 660 |
| | | |
| | | ''[[16/11]]'', [[22/15]] |
| | |- |
| | | 34 |
| | | 680 |
| | | [[40/27]] |
| | | |
| | |- |
| | | 35 |
| | | 700 |
| | | [[3/2]] |
| | | |
| | |- |
| | | 36 |
| | | 720 |
| | | |
| | | |
| | |- |
| | | 37 |
| | | 740 |
| | | ''[[32/21]]'', [[20/13]], [[26/17]] |
| | | |
| | |- |
| | | 38 |
| | | 760 |
| | | [[14/9]] |
| | | [[17/11]] |
| | |- |
| | | 39 |
| | | 780 |
| | | |
| | | [[11/7]] |
| | |- |
| | | 40 |
| | | 800 |
| | | [[128/81]] |
| | | ''[[52/33]]'' |
| | |- |
| | | 41 |
| | | 820 |
| | | [[8/5]] |
| | | |
| | |- |
| | | 42 |
| | | 840 |
| | | [[13/8]], [[34/21]] |
| | | [[44/27]] |
| | |- |
| | | 43 |
| | | 860 |
| | | [[64/39]], [[28/17]] |
| | | [[18/11]] |
| | |- |
| | | 44 |
| | | 880 |
| | | [[5/3]] |
| | | |
| | |- |
| | | 45 |
| | | 900 |
| | | [[27/16]] |
| | | ''[[22/13]]'' |
| | |- |
| | | 46 |
| | | 920 |
| | | [[17/10]] |
| | | [[56/33]] |
| | |- |
| | | 47 |
| | | 940 |
| | | [[12/7]] |
| | | |
| | |- |
| | | 48 |
| | | 960 |
| | | [[7/4]], [[26/15]] |
| | | |
| | |- |
| | | 49 |
| | | 980 |
| | | [[30/17]] |
| | | |
| | |- |
| | | 50 |
| | | 1000 |
| | | [[16/9]] |
| | | |
| | |- |
| | | 51 |
| | | 1020 |
| | | [[9/5]] |
| | | |
| | |- |
| | | 52 |
| | | 1040 |
| | | |
| | | [[11/6]], [[20/11]] |
| | |- |
| | | 53 |
| | | 1060 |
| | | [[24/13]] |
| | | |
| | |- |
| | | 54 |
| | | 1080 |
| | | [[15/8]], [[28/15]], [[13/7]] |
| | | |
| | |- |
| | | 55 |
| | | 1100 |
| | | [[17/9]], [[32/17]] |
| | | |
| | |- |
| | | 56 |
| | | 1120 |
| | | [[40/21]] |
| | | |
| | |- |
| | | 57 |
| | | 1140 |
| | | ''[[48/25]]'', [[27/14]], ''[[35/18]]'' |
| | | |
| | |- |
| | | 58 |
| | | 1160 |
| | | [[49/25]], ''[[63/32]]'' |
| | | ''[[64/33]]'' |
| | |- |
| | | 59 |
| | | 1180 |
| | | [[160/81]], ''[[96/49]]'' |
| | | |
| | |- |
| | | 60 |
| | | 1200 |
| | | [[2/1]] |
| | | |
| | |} |
|
| |
|
| <table class="wiki_table">
| | == Notation == |
| <tr>
| | === Stein–Zimmermann–Gould notation === |
| <td>degrees of 60edo<br />
| | [[Stein–Zimmermann–Gould notation]] uses sharps and flats with arrows: |
| </td>
| | {{Sharpness-sharp5-szg|60}} |
| <td>cents value<br />
| |
| </td>
| |
| <td>approximate ratios in the 2.3.5.13 subgroup<br />
| |
| </td>
| |
| <td>additional ratios of 7 and 11 (assuming flat values for primes)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0<br />
| |
| </td>
| |
| <td>0<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>1<br />
| |
| </td>
| |
| <td>20<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>2<br />
| |
| </td>
| |
| <td>40<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>3<br />
| |
| </td>
| |
| <td>60<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>4<br />
| |
| </td>
| |
| <td>80<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5<br />
| |
| </td>
| |
| <td>100<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>6<br />
| |
| </td>
| |
| <td>120<br />
| |
| </td>
| |
| <td>16/15<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7<br />
| |
| </td>
| |
| <td>140<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>8<br />
| |
| </td>
| |
| <td>160<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>12/11, 11/10<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>9<br />
| |
| </td>
| |
| <td>180<br />
| |
| </td>
| |
| <td>10/9<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>10<br />
| |
| </td>
| |
| <td>200<br />
| |
| </td>
| |
| <td>9/8<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11<br />
| |
| </td>
| |
| <td>220<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>12<br />
| |
| </td>
| |
| <td>240<br />
| |
| </td>
| |
| <td>15/13<br />
| |
| </td>
| |
| <td>8/7<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13<br />
| |
| </td>
| |
| <td>260<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>7/6<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>14<br />
| |
| </td>
| |
| <td>280<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15<br />
| |
| </td>
| |
| <td>300<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>16<br />
| |
| </td>
| |
| <td>320<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>17<br />
| |
| </td>
| |
| <td>340<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>11/9<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>18<br />
| |
| </td>
| |
| <td>360<br />
| |
| </td>
| |
| <td>16/13<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>19<br />
| |
| </td>
| |
| <td>380<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>20<br />
| |
| </td>
| |
| <td>400<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>21<br />
| |
| </td>
| |
| <td>420<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>14/11<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>22<br />
| |
| </td>
| |
| <td>440<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>9/7<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>23<br />
| |
| </td>
| |
| <td>460<br />
| |
| </td>
| |
| <td>13/10<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>24<br />
| |
| </td>
| |
| <td>480<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>25<br />
| |
| </td>
| |
| <td>500<br />
| |
| </td>
| |
| <td>4/3<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>26<br />
| |
| </td>
| |
| <td>520<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>27<br />
| |
| </td>
| |
| <td>540<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>11/8, 15/11<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>28<br />
| |
| </td>
| |
| <td>560<br />
| |
| </td>
| |
| <td>18/13<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>29<br />
| |
| </td>
| |
| <td>580<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>7/5<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>30<br />
| |
| </td>
| |
| <td>600<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>31<br />
| |
| </td>
| |
| <td>620<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>10/7<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>32<br />
| |
| </td>
| |
| <td>640<br />
| |
| </td>
| |
| <td>13/8<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>33<br />
| |
| </td>
| |
| <td>660<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>16/11, 22/15<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>34<br />
| |
| </td>
| |
| <td>680<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>35<br />
| |
| </td>
| |
| <td>700<br />
| |
| </td>
| |
| <td>3/2<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>36<br />
| |
| </td>
| |
| <td>720<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>37<br />
| |
| </td>
| |
| <td>740<br />
| |
| </td>
| |
| <td>20/13<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>38<br />
| |
| </td>
| |
| <td>760<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>14/9<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>39<br />
| |
| </td>
| |
| <td>780<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>11/7<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>40<br />
| |
| </td>
| |
| <td>800<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>41<br />
| |
| </td>
| |
| <td>820<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>42<br />
| |
| </td>
| |
| <td>840<br />
| |
| </td>
| |
| <td>13/8<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>43<br />
| |
| </td>
| |
| <td>860<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>18/11<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>44<br />
| |
| </td>
| |
| <td>880<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>45<br />
| |
| </td>
| |
| <td>900<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>46<br />
| |
| </td>
| |
| <td>920<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>47<br />
| |
| </td>
| |
| <td>940<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>12/7<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>48<br />
| |
| </td>
| |
| <td>960<br />
| |
| </td>
| |
| <td>26/15<br />
| |
| </td>
| |
| <td>7/4<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>49<br />
| |
| </td>
| |
| <td>980<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>50<br />
| |
| </td>
| |
| <td>1000<br />
| |
| </td>
| |
| <td>16/9<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>51<br />
| |
| </td>
| |
| <td>1020<br />
| |
| </td>
| |
| <td>9/5<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>52<br />
| |
| </td>
| |
| <td>1040<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>11/6, 20/11<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>53<br />
| |
| </td>
| |
| <td>1060<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>54<br />
| |
| </td>
| |
| <td>1080<br />
| |
| </td>
| |
| <td>15/8<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>55<br />
| |
| </td>
| |
| <td>1100<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>56<br />
| |
| </td>
| |
| <td>1120<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>57<br />
| |
| </td>
| |
| <td>1140<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>58<br />
| |
| </td>
| |
| <td>1160<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>59<br />
| |
| </td>
| |
| <td>1180<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>60<br />
| |
| </td>
| |
| <td>1200<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | === Kite's ups and downs notation === |
| <br />
| | 60edo can also be notated with [[Kite's ups and downs notation|Kite's ups and downs]], spoken as up, dup, dudsharp, downsharp, sharp, upsharp etc. and down, dud, dupflat etc. Note that dudsharp is equivalent to trup (triple-up) and dupflat is equivalent to trud (triple-down). |
| <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Compositions"></a><!-- ws:end:WikiTextHeadingRule:2 -->Compositions</h1>
| | {{Sharpness-sharp5a}} |
| <a class="wiki_link_ext" href="http://eceserv0.ece.wisc.edu/%7Esethares/mp3s/rojqoq.html" rel="nofollow">Rojqoq (So-Called Peace)</a> <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Sethares/Rojqoq.mp3" rel="nofollow">play</a> by William Sethares<br />
| | |
| <a class="wiki_link_ext" href="http://youtu.be/1rrgmP9VYQU" rel="nofollow">Skating On Thin Ice</a> <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Perry/Skating%20On%20Thin%20Ice.mp3" rel="nofollow">play</a><br />
| | === Sagittal notation === |
| <a class="wiki_link_ext" href="http://youtu.be/5GIZOYMkkJ0" rel="nofollow">My Mother Said So</a> <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Perry/My%20Mother%20Said%20So.mp3" rel="nofollow">play</a><br />
| | This notation is a superset of the notations for edos [[12edo #Sagittal notation|12]] and [[6edo #Sagittal notation|6]]. |
| <a class="wiki_link_ext" href="http://www.macjams.com/song/62273" rel="nofollow">Black Salt - White Pepper</a> <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Perry/Black%20Salt%20-%20White%20Pepper.mp3" rel="nofollow">play</a><br />
| | |
| <a class="wiki_link_ext" href="http://www.macjams.com/song/64413" rel="nofollow">NGC 300</a><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Perry/NGC%20300.mp3" rel="nofollow">play</a><br />
| | ==== Evo flavor ==== |
| all by Robin Perry<br />
| | <imagemap> |
| <a class="wiki_link_ext" href="http://x31eq.com/music/dingshi.mp3" rel="nofollow">Dingshi</a> and<br />
| | File:60-EDO_Evo_Sagittal.svg |
| <a class="wiki_link_ext" href="http://x31eq.com/music/jitter.ogg" rel="nofollow">Gene's Jitterbug (ogg)</a> <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Breed/jitter.mp3" rel="nofollow">Gene's Jitterbug (mp3)</a> <a class="wiki_link_ext" href="http://x31eq.com/music/jitter60.pdf" rel="nofollow">Score</a><br />
| | desc none |
| by Graham Breed<br />
| | rect 80 0 300 50 [[Sagittal_notation]] |
| <br />
| | rect 300 0 655 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation] |
| <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Images"></a><!-- ws:end:WikiTextHeadingRule:4 -->Images</h1>
| | rect 20 80 190 106 [[45927/45056]] |
| <!-- ws:start:WikiTextLocalImageRule:628:&lt;img src=&quot;/file/view/60edo%20wheel%20with%20cents%20values.png/516676902/560x560/60edo%20wheel%20with%20cents%20values.png&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 560px; width: 560px;&quot; /&gt; --><img src="/file/view/60edo%20wheel%20with%20cents%20values.png/516676902/560x560/60edo%20wheel%20with%20cents%20values.png" alt="60edo wheel with cents values.png" title="60edo wheel with cents values.png" style="height: 560px; width: 560px;" /><!-- ws:end:WikiTextLocalImageRule:628 --><br />
| | rect 190 80 310 106 [[46/45]] |
| <!-- ws:start:WikiTextLocalImageRule:629:&lt;img src=&quot;/file/view/blue_60edo.png/284591332/blue_60edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/blue_60edo.png/284591332/blue_60edo.png" alt="blue_60edo.png" title="blue_60edo.png" /><!-- ws:end:WikiTextLocalImageRule:629 --><br />
| | default [[File:60-EDO_Evo_Sagittal.svg]] |
| <br />
| | </imagemap> |
| <!-- ws:start:WikiTextLocalImageRule:630:&lt;img src=&quot;/file/view/60edoguitar.jpg/312533826/60edoguitar.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/60edoguitar.jpg/312533826/60edoguitar.jpg" alt="60edoguitar.jpg" title="60edoguitar.jpg" /><!-- ws:end:WikiTextLocalImageRule:630 --><br />
| | |
| Robin Perry guitar</body></html></pre></div>
| | ==== Revo flavor ==== |
| | <imagemap> |
| | File:60-EDO_Revo_Sagittal.svg |
| | desc none |
| | rect 80 0 300 50 [[Sagittal_notation]] |
| | rect 300 0 628 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation] |
| | rect 20 80 190 106 [[45927/45056]] |
| | rect 190 80 310 106 [[46/45]] |
| | default [[File:60-EDO_Revo_Sagittal.svg]] |
| | </imagemap> |
| | |
| | == Approximation to JI == |
| | === Interval mappings === |
| | {{Q-odd-limit intervals|60}} |
| | {{Q-odd-limit intervals|59.9|apx=val|header=none|tag=none|title=15-odd-limit intervals by 60e val mapping}} |
| | |
| | == Regular temperament properties == |
| | Multiple vals are listed since they all provide good temperaments. |
| | |
| | {| class="wikitable center-4 center-5 center-6" |
| | |- |
| | ! rowspan="2" | [[Subgroup]] |
| | ! rowspan="2" | [[Comma list]] |
| | ! rowspan="2" | [[Mapping]] |
| | ! rowspan="2" | Optimal<br>8ve stretch (¢) |
| | ! colspan="2" | Tuning error |
| | |- |
| | ! [[TE error|Absolute]] (¢) |
| | ! [[TE simple badness|Relative]] (%) |
| | |- |
| | | 2.3.5 |
| | | 3125/3072, 531441/524288 |
| | | {{mapping| 60 95 139 }} |
| | | +1.32 |
| | | 1.11 |
| | | 5.56 |
| | |- |
| | | 2.3.5.7 |
| | | 225/224, 245/243, 64827/64000 |
| | | {{mapping| 60 95 139 168 }} |
| | | +1.78 |
| | | 1.25 |
| | | 6.23 |
| | |- |
| | | 2.3.5.7.13 |
| | | 105/104, 196/195, 245/243, 8281/8192 |
| | | {{mapping| 60 95 139 168 222 }} |
| | | +1.45 |
| | | 1.29 |
| | | 6.46 |
| | |-style="border-top: double;" |
| | | 2.3.5.7.11 |
| | | 121/120, 225/224, 245/243, 441/440 |
| | | {{mapping| 60 95 139 168 207 }} (60e) |
| | | +2.08 |
| | | 1.27 |
| | | 6.33 |
| | |- |
| | | 2.3.5.7.11.13 |
| | | 105/104, 121/120, 196/195, 275/273, 325/324 |
| | | {{mapping| 60 95 139 168 207 222 }} (60e) |
| | | +1.75 |
| | | 1.36 |
| | | 6.80 |
| | |-style="border-top: double;" |
| | | 2.3.5.7.11 |
| | | 100/99, 225/224, 385/384, 3087/3025 |
| | | {{mapping| 60 95 139 168 208 }} (60) |
| | | +0.91 |
| | | 2.05 |
| | | 10.22 |
| | |- |
| | | 2.3.5.7.11.13 |
| | | 100/99, 105/104, 144/143, 196/195, 1352/1331 |
| | | {{mapping| 60 95 139 168 208 222 }} (60) |
| | | +0.79 |
| | | 1.89 |
| | | 9.44 |
| | |} |
| | |
| | === Rank-2 temperaments === |
| | {| class="wikitable center-all left-5" |
| | |+ style="font-size: 105%;" | Table of rank-2 temperaments by generator |
| | |- |
| | ! Periods<br>per 8ve |
| | ! Generator* |
| | ! Cents* |
| | ! Associated<br>ratio* |
| | ! Temperament |
| | |- |
| | | 1 |
| | | 7\60 |
| | | 140.0 |
| | | 13/12 |
| | | [[Quintannic]] (60e) |
| | |- |
| | | 1 |
| | | 13\60 |
| | | 260.0 |
| | | 7/6 |
| | | [[Superpelog]] (7-limit, 60bbccdd) |
| | |- |
| | | 1 |
| | | 17\60 |
| | | 340.0 |
| | | 39/32 |
| | | [[Houborizic]] (60) / [[houbor]] (60e) |
| | |- |
| | | 1 |
| | | 19\60 |
| | | 380.0 |
| | | 5/4 |
| | | [[Magic]] (60) / [[Magic_extensions#Witchcraft|witchcraft]] (60e) |
| | |- |
| | | 1 |
| | | 29\60 |
| | | 580.0 |
| | | 7/5 |
| | | [[Tritonic]] (60e) / [[tritoni]] (60) |
| | |- |
| | | 2 |
| | | 1\60 |
| | | 20.0 |
| | | 81/80 |
| | | [[Bicommatic]] (60e) |
| | |- |
| | | 2 |
| | | 7\60 |
| | | 140.0 |
| | | 13/12 |
| | | [[Fifive]] / [[fifives]] (60) |
| | |- |
| | | 2 |
| | | 19\60<br>(11\60) |
| | | 380.0<br>(220.0) |
| | | 5/4<br>(25/22) |
| | | [[Astrology]] (60de) / [[divination]] (60e) |
| | |- |
| | | 2 |
| | | 13\60 |
| | | 260.0 |
| | | 7/6 |
| | | [[Bamity]] (11-limit, 60e) |
| | |- |
| | | 3 |
| | | 7\60 |
| | | 140.0 |
| | | 243/224 |
| | | [[Septichrome]] |
| | |- |
| | | 5 |
| | | 19\60<br>(5\60) |
| | | 380.0<br>(100.0) |
| | | 5/4<br>(256/245) |
| | | [[Warlock]] |
| | |- |
| | | 5 |
| | | 25\60<br>(1\60) |
| | | 500.0<br>(20.0) |
| | | 4/3<br>(81/80) |
| | | [[Quintile]] (60) |
| | |- |
| | | 6 |
| | | 17\60<br>(3\60) |
| | | 340.0<br>(60.0) |
| | | 375/308<br>(1760/1701) |
| | | [[Semiseptichrome]] (11-limit, 60e) |
| | |- |
| | | 10 |
| | | 25\60<br>(1\60) |
| | | 500.0<br>(20.0) |
| | | 4/3<br>(91/90) |
| | | [[Decile]] (60e)<br>[[Decic]] (60) / [[splendecic]] (60e) / [[prodecic]] (60e) |
| | |- |
| | | 12 |
| | | 19\60<br>(1\60) |
| | | 380.0<br>(20.0) |
| | | 5/4<br>(81/80) |
| | | [[Compton]] / [[comptone]] (60e) |
| | |- |
| | | 12 |
| | | 12\60<br>(2\60) |
| | | 240.0<br>(40.0) |
| | | 8/7<br>(40/39) |
| | | [[Catnip]] (60cf) |
| | |- |
| | | 15 |
| | | 25\60<br>(3\60) |
| | | 500.0<br>(20.0) |
| | | 4/3<br>(126/125) |
| | | [[Pentadecal]] (60) / [[Cloudy_clan#Quindeca|quindecal]] (60e) |
| | |- |
| | | 20 |
| | | 25\60<br>(2\60) |
| | | 500.0<br>(20.0) |
| | | 4/3<br>(99/98) |
| | | [[Degrees]] (60e) |
| | |} |
| | <nowiki/>* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct |
| | |
| | == Diagrams == |
| | [[File:60edo_wheel_with_cents_values.png|alt=60edo wheel with cents values.png|560x560px|60edo wheel with cents values.png]] {{todo|annotate}} |
| | |
| | [[File:blue_60edo.png|alt=blue_60edo.png|blue_60edo.png]] |
| | |
| | == Octave stretch or compression == |
| | What follows is a comparison of compressed- and stretched-octave 60edo tunings. |
| | |
| | 60edo can benefit from slightly [[stretched and compressed tuning|stretching the octave]], especially when using it as a no-11 17-limit equal temperament. With the right amount of stretch we can find better harmonics 3, 5, and 7 at the expense of somewhat less accurate approximations of 2 and 13. Tunings such as [[155ed6]], [[95edt]] or [[zpi|301zpi]] make good options for this. |
| | |
| | == Scales == |
| | * [[5- to 10-tone scales in 60edo]] |
| | * Amulet{{idiosyncratic}} (approximated from [[25edo]], subset of [[magic]]): 5 2 5 5 2 5 7 5 5 2 5 7 5 |
| | * Approximations of [[gamelan]] scales: |
| | ** 5-tone pelog: 6 8 20 5 21 |
| | ** 7-tone pelog: 6 8 12 8 5 14 7 |
| | ** 5-tone slendro: 12 12 12 12 12 |
| | |
| | == Instruments == |
| | Due to its highly composite nature, 60edo has an unusually high number of ways it can be subdivided. This means it has multiple good [[skip-fretting]] systems which can be used to create stringed instruments with playable fret spacings that still span the full gamut. Probably the best of these is tuning a 20edo guitar to major thirds, as demonstrated by Robin Perry in the image below. This is very closely related to the [[Kite Guitar]], with tuning accuracy slightly worse in the 11-limit, but far better when ratios of 13, 17 & 19 are added. |
| | |
| | [[File:60edoguitar.jpg|alt=60edoguitar.jpg|60edoguitar.jpg]] |
| | |
| | * [[Skip fretting system 60 2 29]] |
| | * [[Skip fretting system 60 3 19]] |
| | * [[Skip fretting system 60 4 17]] |
| | |
| | * [[Lumatone mapping for 60edo]] |
| | |
| | == Music == |
| | ; [[Graham Breed]] |
| | * [http://x31eq.com/music/dingshi.mp3 ''Dingshi''] |
| | * ''Gene's Jitterbug'' [http://x31eq.com/music/jitter.ogg (ogg)] [http://micro.soonlabel.com/gene_ward_smith/Others/Breed/jitter.mp3 (mp3)] [http://x31eq.com/music/jitter60.pdf Score] |
| | |
| | ; [[Bryan Deister]] |
| | * [https://www.youtube.com/shorts/nlKHUDCR3pI ''60edo improv''] (2025-05-16) |
| | * [https://www.youtube.com/shorts/VA_P26_3dTk ''60edo improv''] (2025-11-22) |
| | |
| | ; [[Robin Perry]] |
| | * [https://youtu.be/1rrgmP9VYQU ''Skating On Thin Ice''] [http://micro.soonlabel.com/gene_ward_smith/Others/Perry/Skating%20On%20Thin%20Ice.mp3 play] |
| | * [https://youtu.be/5GIZOYMkkJ0 ''My Mother Said So''] [http://micro.soonlabel.com/gene_ward_smith/Others/Perry/My%20Mother%20Said%20So.mp3 play] |
| | * [http://www.macjams.com/song/62273 ''Black Salt - White Pepper''] [http://micro.soonlabel.com/gene_ward_smith/Others/Perry/Black%20Salt%20-%20White%20Pepper.mp3 play] |
| | * [http://www.macjams.com/song/64413 ''NGC 300''] [http://micro.soonlabel.com/gene_ward_smith/Others/Perry/NGC%20300.mp3 play] |
| | |
| | ; [[William Sethares]] |
| | * [http://eceserv0.ece.wisc.edu/%7Esethares/mp3s/rojqoq.html ''Rojqoq (So-Called Peace)''] [http://micro.soonlabel.com/gene_ward_smith/Others/Sethares/Rojqoq.mp3 play] |
| | |
| | ; [[Randy Wells]] |
| | * [https://www.youtube.com/watch?v=MuLl0UUhUK0 ''Absinthe Green''] |
| | * [https://www.youtube.com/watch?v=CNkg1rQE8Zk ''The Well of Sensitivity''] |
| | |
| | [[Category:Listen]] |
| | [[Category:Catnip]] |