7-limit

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The //7-limit// or "7 prime-limit" refers to a constraint on rational intervals such that 7 is the highest allowable [[prime number]], so that every such interval may be written as a ratio of integers which are products of 2, 3, 5 and 7. This is an infinite set and still infinite even if we restrict consideration to a single octave. Some examples within the octave include [[9_7|9/7]], [[14_9|14/9]], [[15_14|15/14]], [[28_15|28/15]], [[21_16|21/16]], [[32_21|32/21]], [[25_14|25/14]], [[28_25|28/25]], [[25_21|25/21]], [[42_25|42/25]], [[28_27|28/27]], [[27_14|27/14]], [[35_28|35/28]], [[56_35|56/35]], 45/28, 56/45, 49/32, 64/49, 49/36, 72/49, 49/30, 60/49, 49/25, 50/49, 49/27, 54/49, 49/35, 70/49, 49/45, 90/49.

"7 odd-limit" refers to a constraint on the selection of [[JustIntonation|just]] [[Interval class|intervals]] for a scale or composition such that 7 is the highest allowable odd number, either for the intervals of the scale, or the ratios between successive or simultaneously sounding notes of the composition. The complete list of 7 odd-limit intervals within the octave is [[1_1|1/1]], [[8_7|8/7]], [[7_6|7/6]], [[6_5|6/5]], [[5_4|5/4]], [[4_3|4/3]], [[7_5|7/5]], [[10_7|10/7]], [[3_2|3/2]], [[8_5|8/5]], [[5_3|5/3]], [[12_7|12/7]], [[7_4|7/4]], [[2_1|2/1]], which is known as the 7-limit [[http://en.wikipedia.org/wiki/Tonality_diamond|tonality diamond]].

The phrase "7-limit just intonation" usually refers to the 7 prime-limit and includes primes 2, 3, 5, and 7. When octave equivalence is assumed, an interval can be taken as a pitch class representing that interval in every possible octave. This leaves primes 3, 5, and 7, which can be represented in [[The Seven Limit Symmetrical Lattices|3-dimensional lattice diagrams]], each prime represented by a different dimension. Lattices describing scales beyond the 7-limit require more than three dimensions, and in the 7-limit, such lattices have unique features which simplify the relations between 7-limit chords.

For a variety of reasons, common-practice music has been somewhat stuck at the 5-limit for centuries, though 7-limit intervals have a characteristic jazzy sound which is at least partially familiar. Music in the 7-limit thus represents a large step forward, although not as much as [[11-limit|11-]] or [[13-limit]], which usually sound much more exotic.

Relative to their size, the equal divisions [[12edo]], [[19edo]], [[31edo]], [[99edo]] and [[171edo]] provide good approximations to the 7-limit, with [[15edo]], [[22edo]], [[27edo]], [[41edo]], [[46edo]], [[53edo]], [[58edo]], [[68edo]], [[72edo]], [[118edo]], [[130edo]], [[140edo]] and [[152edo]] among the others worthy of notice.

==List of Intervals in the 7-Prime Limit and 81-Odd Limit== 
[ list is under construction ]

|| [[Ratio]] || [[Monzo]] || [[Cents]] Value ||
|| 1/1 || |0> || 0.000 ||
|| 81/80 || |-4 4 -1> || 21.506 ||
|| 64/63 || |6 -2 0 -1> || 27.264 ||
|| 50/49 || |1 0 2 -2> || 34.976 ||
|| 36/35 || |2 2 -1 -1> || 48.770 ||
|| 28/27 || |2 -3 0 1> || 62.961 ||
|| 25/24 || |-3 -1 2> || 70.672 ||
|| 21/20 || |-2 1 -1 1> || 84.467 ||
|| 16/15 ||   || 111.731 ||
|| 15/14 ||   || 119.443 ||
|| 27/25 ||   || 133.238 ||
|| 49/45 ||   || 147.428 ||
|| 35/32 ||   || 155.140 ||
|| 54/49 ||   || 168.213 ||
|| 28/25 ||   || 196.198 ||
|| 9/8 ||   || 203.910 ||
|| 8/7 ||   || 231.174 ||
|| 81/70 ||   || 252.68 ||
|| 7/6 ||   || 266.871 ||
|| 75/64 ||   || 274.582 ||
|| 32/27 ||   || 294.135 ||
|| 25/21 ||   || 301.847 ||
|| 6/5 ||   || 315.641 ||
|| 98/81 ||   || 329.832 ||
|| 60/49 ||   || 350.617 ||
|| 49/40 ||   || 351.338 ||
|| 100/81 ||   || 364.807 ||
|| 56/45 ||   || 378.602 ||
|| 63/50 ||   || 400.108 ||
|| 81/64 ||   || 407.820 ||
|| 80/63 ||   || 413.578 ||
|| 32/25 ||   || 427.373 ||
|| 9/7 ||   || 435.084 ||
|| 35/27 ||   || 449.275 ||
|| 64/49 ||   || 462.348 ||
|| 98/75 ||   || 463.069 ||
|| 21/16 ||   || 470.781 ||
|| 4/3 ||   || 498.045 ||
|| 75/56 ||   || 505.757 ||
|| 27/20 ||   || 519.551 ||
|| 49/36 ||   || 533.742 ||
|| 48/35 ||   || 546.815 ||
|| 112/81 ||   || 561.006 ||
|| 7/5 ||   || 582.512 ||
|| 45/32 ||   || 590.224 ||
|| 64/45 ||   || 609.776 ||
|| 10/7 ||   || 617.488 ||
|| 81/56 ||   || 638.994 ||
|| 35/24 ||   || 653.185 ||
|| 72/49 ||   || 666.258 ||
|| 40/27 ||   || 680.449 ||
|| 112/75 ||   || 694.243 ||
|| 3/2 ||   || 701.955 ||
|| 32/21 ||   || 729.219 ||
|| 75/49 ||   || 736.931 ||
|| 49/32 ||   || 737.652 ||
|| 54/35 ||   || 750.725 ||
|| 14/9 ||   || 764.916 ||
|| 25/16 ||   || 772.627 ||
|| 63/40 ||   || 786.422 ||
|| 128/81 ||   || 792.180 ||
|| 100/63 ||   || 799.892 ||
|| 45/28 ||   || 821.398 ||
|| 81/50 ||   || 835.193 ||
|| 80/49 ||   || 848.662 ||
|| 49/30 ||   || 849.383 ||
|| 81/49 ||   || 870.168 ||
|| 5/3 ||   || 884.359 ||
|| 42/25 ||   || 898.153 ||
|| 27/16 ||   || 905.865 ||
|| 128/75 ||   || 925.418 ||
|| 12/7 ||   || 933.129 ||
|| 140/81 ||   || 947.320 ||
|| 7/4 ||   || 968.826 ||
|| 16/9 ||   || 996.090 ||
|| 25/14 ||   || 1003.802 ||
|| 49/27 ||   || 1031.787 ||
|| 64/35 ||   || 1044.860 ||
|| 90/49 ||   || 1052.572 ||
|| 50/27 ||   || 1066.762 ||
|| 28/15 ||   || 1080.557 ||
|| 15/8 ||   || 1088.269 ||
|| 40/21 ||   || 1115.533 ||
|| 48/25 ||   || 1129.328 ||
|| 27/14 ||   || 1137.039 ||
|| 35/18 ||   || 1151.230 ||
|| 49/25 ||   || 1165.024 ||
|| 63/32 ||   || 1172.736 ||
|| 160/81 ||   || 1178.494 ||
|| 2/1 || |1> || 1200.000 ||


=Music= 
//[[http://micro.soonlabel.com/blue-tuning/blue-ji-excluded-by-peers.mp3|Excluded by Peers]]// by [[Chris Vaisvil]]
//[[http://micro.soonlabel.com/centaur_tuning/Prelude_For_Centaur_Tuned_Piano.mp3|Prelude for Centaur Tuned Piano]]// by Chris Vaisvil
//[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Prelude%20%231%20for%207-limit%20JI.mp3|Prelude #1 in 7-limit JI]]// by [[Ivor Darreg]] <-- are there any notations for it?
[[http://www.archive.org/details/ClintonVariations|Clinton Variations]] //[[http://www.archive.org/download/ClintonVariations/clinton.mp3|play]]// by [[Gene Ward Smith]]
//[[http://www.youtube.com/watch?v=HzQmaxDIxnc&feature=channel_video_title|Pachelbel's Canon in D in 7-limit JI]]// //[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Meneghin/Pachelbel_s%20Canon%20in%20D%20-%20Relaxing%20music,%20with%20mountain%20views.mp3|play]]//
//[[http://clones.soonlabel.com/public/classical-music/mars-7-limit-kontakt5.mp3| Mars in 7-Limit JI]]// from [[@http://en.wikipedia.org/wiki/The_Planets|The Planets]] the orchestral suite by Gustav Holst arranged by [[@Chris Vaisvil]]
=see also= 
* [[Harmonic Limit]]
* [[http://en.wikipedia.org/wiki/7-limit|7-limit - Wikipedia]]
* [[http://en.wikipedia.org/wiki/Highly_composite_number|Highly composite number - Wikipedia]]




[[media type="custom" key="20562700"]]

Original HTML content:

<html><head><title>7-limit</title></head><body>The <em>7-limit</em> or &quot;7 prime-limit&quot; refers to a constraint on rational intervals such that 7 is the highest allowable <a class="wiki_link" href="/prime%20number">prime number</a>, so that every such interval may be written as a ratio of integers which are products of 2, 3, 5 and 7. This is an infinite set and still infinite even if we restrict consideration to a single octave. Some examples within the octave include <a class="wiki_link" href="/9_7">9/7</a>, <a class="wiki_link" href="/14_9">14/9</a>, <a class="wiki_link" href="/15_14">15/14</a>, <a class="wiki_link" href="/28_15">28/15</a>, <a class="wiki_link" href="/21_16">21/16</a>, <a class="wiki_link" href="/32_21">32/21</a>, <a class="wiki_link" href="/25_14">25/14</a>, <a class="wiki_link" href="/28_25">28/25</a>, <a class="wiki_link" href="/25_21">25/21</a>, <a class="wiki_link" href="/42_25">42/25</a>, <a class="wiki_link" href="/28_27">28/27</a>, <a class="wiki_link" href="/27_14">27/14</a>, <a class="wiki_link" href="/35_28">35/28</a>, <a class="wiki_link" href="/56_35">56/35</a>, 45/28, 56/45, 49/32, 64/49, 49/36, 72/49, 49/30, 60/49, 49/25, 50/49, 49/27, 54/49, 49/35, 70/49, 49/45, 90/49.<br />
<br />
&quot;7 odd-limit&quot; refers to a constraint on the selection of <a class="wiki_link" href="/JustIntonation">just</a> <a class="wiki_link" href="/Interval%20class">intervals</a> for a scale or composition such that 7 is the highest allowable odd number, either for the intervals of the scale, or the ratios between successive or simultaneously sounding notes of the composition. The complete list of 7 odd-limit intervals within the octave is <a class="wiki_link" href="/1_1">1/1</a>, <a class="wiki_link" href="/8_7">8/7</a>, <a class="wiki_link" href="/7_6">7/6</a>, <a class="wiki_link" href="/6_5">6/5</a>, <a class="wiki_link" href="/5_4">5/4</a>, <a class="wiki_link" href="/4_3">4/3</a>, <a class="wiki_link" href="/7_5">7/5</a>, <a class="wiki_link" href="/10_7">10/7</a>, <a class="wiki_link" href="/3_2">3/2</a>, <a class="wiki_link" href="/8_5">8/5</a>, <a class="wiki_link" href="/5_3">5/3</a>, <a class="wiki_link" href="/12_7">12/7</a>, <a class="wiki_link" href="/7_4">7/4</a>, <a class="wiki_link" href="/2_1">2/1</a>, which is known as the 7-limit <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Tonality_diamond" rel="nofollow">tonality diamond</a>.<br />
<br />
The phrase &quot;7-limit just intonation&quot; usually refers to the 7 prime-limit and includes primes 2, 3, 5, and 7. When octave equivalence is assumed, an interval can be taken as a pitch class representing that interval in every possible octave. This leaves primes 3, 5, and 7, which can be represented in <a class="wiki_link" href="/The%20Seven%20Limit%20Symmetrical%20Lattices">3-dimensional lattice diagrams</a>, each prime represented by a different dimension. Lattices describing scales beyond the 7-limit require more than three dimensions, and in the 7-limit, such lattices have unique features which simplify the relations between 7-limit chords.<br />
<br />
For a variety of reasons, common-practice music has been somewhat stuck at the 5-limit for centuries, though 7-limit intervals have a characteristic jazzy sound which is at least partially familiar. Music in the 7-limit thus represents a large step forward, although not as much as <a class="wiki_link" href="/11-limit">11-</a> or <a class="wiki_link" href="/13-limit">13-limit</a>, which usually sound much more exotic.<br />
<br />
Relative to their size, the equal divisions <a class="wiki_link" href="/12edo">12edo</a>, <a class="wiki_link" href="/19edo">19edo</a>, <a class="wiki_link" href="/31edo">31edo</a>, <a class="wiki_link" href="/99edo">99edo</a> and <a class="wiki_link" href="/171edo">171edo</a> provide good approximations to the 7-limit, with <a class="wiki_link" href="/15edo">15edo</a>, <a class="wiki_link" href="/22edo">22edo</a>, <a class="wiki_link" href="/27edo">27edo</a>, <a class="wiki_link" href="/41edo">41edo</a>, <a class="wiki_link" href="/46edo">46edo</a>, <a class="wiki_link" href="/53edo">53edo</a>, <a class="wiki_link" href="/58edo">58edo</a>, <a class="wiki_link" href="/68edo">68edo</a>, <a class="wiki_link" href="/72edo">72edo</a>, <a class="wiki_link" href="/118edo">118edo</a>, <a class="wiki_link" href="/130edo">130edo</a>, <a class="wiki_link" href="/140edo">140edo</a> and <a class="wiki_link" href="/152edo">152edo</a> among the others worthy of notice.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:1:&lt;h2&gt; --><h2 id="toc0"><a name="x-List of Intervals in the 7-Prime Limit and 81-Odd Limit"></a><!-- ws:end:WikiTextHeadingRule:1 -->List of Intervals in the 7-Prime Limit and 81-Odd Limit</h2>
 [ list is under construction ]<br />
<br />


<table class="wiki_table">
    <tr>
        <td><a class="wiki_link" href="/Ratio">Ratio</a><br />
</td>
        <td><a class="wiki_link" href="/Monzo">Monzo</a><br />
</td>
        <td><a class="wiki_link" href="/Cents">Cents</a> Value<br />
</td>
    </tr>
    <tr>
        <td>1/1<br />
</td>
        <td>|0&gt;<br />
</td>
        <td>0.000<br />
</td>
    </tr>
    <tr>
        <td>81/80<br />
</td>
        <td>|-4 4 -1&gt;<br />
</td>
        <td>21.506<br />
</td>
    </tr>
    <tr>
        <td>64/63<br />
</td>
        <td>|6 -2 0 -1&gt;<br />
</td>
        <td>27.264<br />
</td>
    </tr>
    <tr>
        <td>50/49<br />
</td>
        <td>|1 0 2 -2&gt;<br />
</td>
        <td>34.976<br />
</td>
    </tr>
    <tr>
        <td>36/35<br />
</td>
        <td>|2 2 -1 -1&gt;<br />
</td>
        <td>48.770<br />
</td>
    </tr>
    <tr>
        <td>28/27<br />
</td>
        <td>|2 -3 0 1&gt;<br />
</td>
        <td>62.961<br />
</td>
    </tr>
    <tr>
        <td>25/24<br />
</td>
        <td>|-3 -1 2&gt;<br />
</td>
        <td>70.672<br />
</td>
    </tr>
    <tr>
        <td>21/20<br />
</td>
        <td>|-2 1 -1 1&gt;<br />
</td>
        <td>84.467<br />
</td>
    </tr>
    <tr>
        <td>16/15<br />
</td>
        <td><br />
</td>
        <td>111.731<br />
</td>
    </tr>
    <tr>
        <td>15/14<br />
</td>
        <td><br />
</td>
        <td>119.443<br />
</td>
    </tr>
    <tr>
        <td>27/25<br />
</td>
        <td><br />
</td>
        <td>133.238<br />
</td>
    </tr>
    <tr>
        <td>49/45<br />
</td>
        <td><br />
</td>
        <td>147.428<br />
</td>
    </tr>
    <tr>
        <td>35/32<br />
</td>
        <td><br />
</td>
        <td>155.140<br />
</td>
    </tr>
    <tr>
        <td>54/49<br />
</td>
        <td><br />
</td>
        <td>168.213<br />
</td>
    </tr>
    <tr>
        <td>28/25<br />
</td>
        <td><br />
</td>
        <td>196.198<br />
</td>
    </tr>
    <tr>
        <td>9/8<br />
</td>
        <td><br />
</td>
        <td>203.910<br />
</td>
    </tr>
    <tr>
        <td>8/7<br />
</td>
        <td><br />
</td>
        <td>231.174<br />
</td>
    </tr>
    <tr>
        <td>81/70<br />
</td>
        <td><br />
</td>
        <td>252.68<br />
</td>
    </tr>
    <tr>
        <td>7/6<br />
</td>
        <td><br />
</td>
        <td>266.871<br />
</td>
    </tr>
    <tr>
        <td>75/64<br />
</td>
        <td><br />
</td>
        <td>274.582<br />
</td>
    </tr>
    <tr>
        <td>32/27<br />
</td>
        <td><br />
</td>
        <td>294.135<br />
</td>
    </tr>
    <tr>
        <td>25/21<br />
</td>
        <td><br />
</td>
        <td>301.847<br />
</td>
    </tr>
    <tr>
        <td>6/5<br />
</td>
        <td><br />
</td>
        <td>315.641<br />
</td>
    </tr>
    <tr>
        <td>98/81<br />
</td>
        <td><br />
</td>
        <td>329.832<br />
</td>
    </tr>
    <tr>
        <td>60/49<br />
</td>
        <td><br />
</td>
        <td>350.617<br />
</td>
    </tr>
    <tr>
        <td>49/40<br />
</td>
        <td><br />
</td>
        <td>351.338<br />
</td>
    </tr>
    <tr>
        <td>100/81<br />
</td>
        <td><br />
</td>
        <td>364.807<br />
</td>
    </tr>
    <tr>
        <td>56/45<br />
</td>
        <td><br />
</td>
        <td>378.602<br />
</td>
    </tr>
    <tr>
        <td>63/50<br />
</td>
        <td><br />
</td>
        <td>400.108<br />
</td>
    </tr>
    <tr>
        <td>81/64<br />
</td>
        <td><br />
</td>
        <td>407.820<br />
</td>
    </tr>
    <tr>
        <td>80/63<br />
</td>
        <td><br />
</td>
        <td>413.578<br />
</td>
    </tr>
    <tr>
        <td>32/25<br />
</td>
        <td><br />
</td>
        <td>427.373<br />
</td>
    </tr>
    <tr>
        <td>9/7<br />
</td>
        <td><br />
</td>
        <td>435.084<br />
</td>
    </tr>
    <tr>
        <td>35/27<br />
</td>
        <td><br />
</td>
        <td>449.275<br />
</td>
    </tr>
    <tr>
        <td>64/49<br />
</td>
        <td><br />
</td>
        <td>462.348<br />
</td>
    </tr>
    <tr>
        <td>98/75<br />
</td>
        <td><br />
</td>
        <td>463.069<br />
</td>
    </tr>
    <tr>
        <td>21/16<br />
</td>
        <td><br />
</td>
        <td>470.781<br />
</td>
    </tr>
    <tr>
        <td>4/3<br />
</td>
        <td><br />
</td>
        <td>498.045<br />
</td>
    </tr>
    <tr>
        <td>75/56<br />
</td>
        <td><br />
</td>
        <td>505.757<br />
</td>
    </tr>
    <tr>
        <td>27/20<br />
</td>
        <td><br />
</td>
        <td>519.551<br />
</td>
    </tr>
    <tr>
        <td>49/36<br />
</td>
        <td><br />
</td>
        <td>533.742<br />
</td>
    </tr>
    <tr>
        <td>48/35<br />
</td>
        <td><br />
</td>
        <td>546.815<br />
</td>
    </tr>
    <tr>
        <td>112/81<br />
</td>
        <td><br />
</td>
        <td>561.006<br />
</td>
    </tr>
    <tr>
        <td>7/5<br />
</td>
        <td><br />
</td>
        <td>582.512<br />
</td>
    </tr>
    <tr>
        <td>45/32<br />
</td>
        <td><br />
</td>
        <td>590.224<br />
</td>
    </tr>
    <tr>
        <td>64/45<br />
</td>
        <td><br />
</td>
        <td>609.776<br />
</td>
    </tr>
    <tr>
        <td>10/7<br />
</td>
        <td><br />
</td>
        <td>617.488<br />
</td>
    </tr>
    <tr>
        <td>81/56<br />
</td>
        <td><br />
</td>
        <td>638.994<br />
</td>
    </tr>
    <tr>
        <td>35/24<br />
</td>
        <td><br />
</td>
        <td>653.185<br />
</td>
    </tr>
    <tr>
        <td>72/49<br />
</td>
        <td><br />
</td>
        <td>666.258<br />
</td>
    </tr>
    <tr>
        <td>40/27<br />
</td>
        <td><br />
</td>
        <td>680.449<br />
</td>
    </tr>
    <tr>
        <td>112/75<br />
</td>
        <td><br />
</td>
        <td>694.243<br />
</td>
    </tr>
    <tr>
        <td>3/2<br />
</td>
        <td><br />
</td>
        <td>701.955<br />
</td>
    </tr>
    <tr>
        <td>32/21<br />
</td>
        <td><br />
</td>
        <td>729.219<br />
</td>
    </tr>
    <tr>
        <td>75/49<br />
</td>
        <td><br />
</td>
        <td>736.931<br />
</td>
    </tr>
    <tr>
        <td>49/32<br />
</td>
        <td><br />
</td>
        <td>737.652<br />
</td>
    </tr>
    <tr>
        <td>54/35<br />
</td>
        <td><br />
</td>
        <td>750.725<br />
</td>
    </tr>
    <tr>
        <td>14/9<br />
</td>
        <td><br />
</td>
        <td>764.916<br />
</td>
    </tr>
    <tr>
        <td>25/16<br />
</td>
        <td><br />
</td>
        <td>772.627<br />
</td>
    </tr>
    <tr>
        <td>63/40<br />
</td>
        <td><br />
</td>
        <td>786.422<br />
</td>
    </tr>
    <tr>
        <td>128/81<br />
</td>
        <td><br />
</td>
        <td>792.180<br />
</td>
    </tr>
    <tr>
        <td>100/63<br />
</td>
        <td><br />
</td>
        <td>799.892<br />
</td>
    </tr>
    <tr>
        <td>45/28<br />
</td>
        <td><br />
</td>
        <td>821.398<br />
</td>
    </tr>
    <tr>
        <td>81/50<br />
</td>
        <td><br />
</td>
        <td>835.193<br />
</td>
    </tr>
    <tr>
        <td>80/49<br />
</td>
        <td><br />
</td>
        <td>848.662<br />
</td>
    </tr>
    <tr>
        <td>49/30<br />
</td>
        <td><br />
</td>
        <td>849.383<br />
</td>
    </tr>
    <tr>
        <td>81/49<br />
</td>
        <td><br />
</td>
        <td>870.168<br />
</td>
    </tr>
    <tr>
        <td>5/3<br />
</td>
        <td><br />
</td>
        <td>884.359<br />
</td>
    </tr>
    <tr>
        <td>42/25<br />
</td>
        <td><br />
</td>
        <td>898.153<br />
</td>
    </tr>
    <tr>
        <td>27/16<br />
</td>
        <td><br />
</td>
        <td>905.865<br />
</td>
    </tr>
    <tr>
        <td>128/75<br />
</td>
        <td><br />
</td>
        <td>925.418<br />
</td>
    </tr>
    <tr>
        <td>12/7<br />
</td>
        <td><br />
</td>
        <td>933.129<br />
</td>
    </tr>
    <tr>
        <td>140/81<br />
</td>
        <td><br />
</td>
        <td>947.320<br />
</td>
    </tr>
    <tr>
        <td>7/4<br />
</td>
        <td><br />
</td>
        <td>968.826<br />
</td>
    </tr>
    <tr>
        <td>16/9<br />
</td>
        <td><br />
</td>
        <td>996.090<br />
</td>
    </tr>
    <tr>
        <td>25/14<br />
</td>
        <td><br />
</td>
        <td>1003.802<br />
</td>
    </tr>
    <tr>
        <td>49/27<br />
</td>
        <td><br />
</td>
        <td>1031.787<br />
</td>
    </tr>
    <tr>
        <td>64/35<br />
</td>
        <td><br />
</td>
        <td>1044.860<br />
</td>
    </tr>
    <tr>
        <td>90/49<br />
</td>
        <td><br />
</td>
        <td>1052.572<br />
</td>
    </tr>
    <tr>
        <td>50/27<br />
</td>
        <td><br />
</td>
        <td>1066.762<br />
</td>
    </tr>
    <tr>
        <td>28/15<br />
</td>
        <td><br />
</td>
        <td>1080.557<br />
</td>
    </tr>
    <tr>
        <td>15/8<br />
</td>
        <td><br />
</td>
        <td>1088.269<br />
</td>
    </tr>
    <tr>
        <td>40/21<br />
</td>
        <td><br />
</td>
        <td>1115.533<br />
</td>
    </tr>
    <tr>
        <td>48/25<br />
</td>
        <td><br />
</td>
        <td>1129.328<br />
</td>
    </tr>
    <tr>
        <td>27/14<br />
</td>
        <td><br />
</td>
        <td>1137.039<br />
</td>
    </tr>
    <tr>
        <td>35/18<br />
</td>
        <td><br />
</td>
        <td>1151.230<br />
</td>
    </tr>
    <tr>
        <td>49/25<br />
</td>
        <td><br />
</td>
        <td>1165.024<br />
</td>
    </tr>
    <tr>
        <td>63/32<br />
</td>
        <td><br />
</td>
        <td>1172.736<br />
</td>
    </tr>
    <tr>
        <td>160/81<br />
</td>
        <td><br />
</td>
        <td>1178.494<br />
</td>
    </tr>
    <tr>
        <td>2/1<br />
</td>
        <td>|1&gt;<br />
</td>
        <td>1200.000<br />
</td>
    </tr>
</table>

<br />
<br />
<!-- ws:start:WikiTextHeadingRule:3:&lt;h1&gt; --><h1 id="toc1"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:3 -->Music</h1>
 <em><a class="wiki_link_ext" href="http://micro.soonlabel.com/blue-tuning/blue-ji-excluded-by-peers.mp3" rel="nofollow">Excluded by Peers</a></em> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a><br />
<em><a class="wiki_link_ext" href="http://micro.soonlabel.com/centaur_tuning/Prelude_For_Centaur_Tuned_Piano.mp3" rel="nofollow">Prelude for Centaur Tuned Piano</a></em> by Chris Vaisvil<br />
<em><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Prelude%20%231%20for%207-limit%20JI.mp3" rel="nofollow">Prelude #1 in 7-limit JI</a></em> by <a class="wiki_link" href="/Ivor%20Darreg">Ivor Darreg</a> &lt;-- are there any notations for it?<br />
<a class="wiki_link_ext" href="http://www.archive.org/details/ClintonVariations" rel="nofollow">Clinton Variations</a> <em><a class="wiki_link_ext" href="http://www.archive.org/download/ClintonVariations/clinton.mp3" rel="nofollow">play</a></em> by <a class="wiki_link" href="/Gene%20Ward%20Smith">Gene Ward Smith</a><br />
<em><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=HzQmaxDIxnc&amp;feature=channel_video_title" rel="nofollow">Pachelbel's Canon in D in 7-limit JI</a></em> <em><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Meneghin/Pachelbel_s%20Canon%20in%20D%20-%20Relaxing%20music,%20with%20mountain%20views.mp3" rel="nofollow">play</a></em><br />
<em><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/classical-music/mars-7-limit-kontakt5.mp3" rel="nofollow"> Mars in 7-Limit JI</a></em> from <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/The_Planets" rel="nofollow" target="_blank">The Planets</a> the orchestral suite by Gustav Holst arranged by <a class="wiki_link" href="/Chris%20Vaisvil" target="_blank">Chris Vaisvil</a><br />
<!-- ws:start:WikiTextHeadingRule:5:&lt;h1&gt; --><h1 id="toc2"><a name="see also"></a><!-- ws:end:WikiTextHeadingRule:5 -->see also</h1>
 <ul><li><a class="wiki_link" href="/Harmonic%20Limit">Harmonic Limit</a></li><li><a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/7-limit" rel="nofollow">7-limit - Wikipedia</a></li><li><a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Highly_composite_number" rel="nofollow">Highly composite number - Wikipedia</a></li></ul><br />
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