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_27|35/27]], 54/35, 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 [[1edo]], [[2edo]], [[3edo]], [[4edo]], [[5edo]], [[7edo]], [[9edo]], [[10edo]], [[12edo]], [[15edo]], [[19edo]], [[21edo]], [[22edo]], [[31edo]], [[53edo]], [[84edo]], [[87edo]], [[94edo]], [[99edo]], [[118edo]], [[130edo]], [[140edo]], [[171edo]], [[270edo]], [[410edo]], [[441edo]] and [[612edo]] provide good approximations to the 7-limit. ==List of Intervals in the 7-Prime Limit and 81-Odd Limit== || [[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 || |4 -1 -1> || 111.731 || || 15/14 || |-1 1 1 -1> || 119.443 || || 27/25 || |0 3 -2> || 133.238 || || 49/45 || |0 -2 -1 2> || 147.428 || || 35/32 || |-5 0 1 1> || 155.140 || || 54/49 || |1 3 0 -2> || 168.213 || || 28/25 || |2 0 -2 1> || 196.198 || || 9/8 || |-3 2> || 203.910 || || 8/7 || |3 0 0 -1> || 231.174 || || 81/70 || |-1 4 -1 -1> || 252.68 || || 7/6 || |-1 -1 0 1> || 266.871 || || 75/64 || |-6 1 2> || 274.582 || || 32/27 || |5 -3> || 294.135 || || 25/21 || |0 -1 2 -1> || 301.847 || || 6/5 || |1 1 -1> || 315.641 || || 98/81 || |1 -4 0 2> || 329.832 || || 60/49 || |2 1 1 -2> || 350.617 || || 49/40 || |-3 0 -1 2> || 351.338 || || 100/81 || |2 -4 2> || 364.807 || || 56/45 || |3 -2 -1 1> || 378.602 || || 63/50 || |-1 2 -2 1> || 400.108 || || 81/64 || |-6 4> || 407.820 || || 80/63 || |4 -2 1 -1> || 413.578 || || 32/25 || |5 0 -2> || 427.373 || || 9/7 || |0 2 0 -1> || 435.084 || || 35/27 || |0 -3 1 1> || 449.275 || || 64/49 || |6 0 0 -2> || 462.348 || || 98/75 || |1 -1 -2 2> || 463.069 || || 21/16 || |-4 1 0 1> || 470.781 || || 4/3 || |2 -1> || 498.045 || || 75/56 || |-3 1 2 -1> || 505.757 || || 27/20 || |-2 3 -1> || 519.551 || || 49/36 || |-2 -2 0 2> || 533.742 || || 48/35 || |4 1 -1 -1> || 546.815 || || 112/81 || |4 -4 0 1> || 561.006 || || 7/5 || |0 0 -1 1> || 582.512 || || 45/32 || |-5 2 1> || 590.224 || || 64/45 || |6 -2 -1> || 609.776 || || 10/7 || |1 0 1 -1> || 617.488 || || 81/56 || |-3 4 0 -1> || 638.994 || || 35/24 || |-3 -1 1 1> || 653.185 || || 72/49 || |3 2 0 -2> || 666.258 || || 40/27 || |3 -3 1> || 680.449 || || 112/75 || |4 -1 -2 1> || 694.243 || || 3/2 || |-1 1> || 701.955 || || 32/21 || |5 -1 0 -1> || 729.219 || || 75/49 || |0 1 2 -2> || 736.931 || || 49/32 || |-5 0 0 2> || 737.652 || || 54/35 || |1 3 -1 -1> || 750.725 || || 14/9 || |1 -2 0 1> || 764.916 || || 25/16 || |-4 0 2> || 772.627 || || 63/40 || |-3 2 -1 1> || 786.422 || || 128/81 || |7 -4> || 792.180 || || 100/63 || |2 -2 2 -1> || 799.892 || || 45/28 || |-2 2 1 -1> || 821.398 || || 81/50 || |-1 4 -2> || 835.193 || || 80/49 || |4 0 1 -2> || 848.662 || || 49/30 || |-1 -1 -1 2> || 849.383 || || 81/49 || |0 4 0 -2> || 870.168 || || 5/3 || |0 -1 1> || 884.359 || || 42/25 || |1 1 -2 1> || 898.153 || || 27/16 || |-4 3> || 905.865 || || 128/75 || |7 -1 -2> || 925.418 || || 12/7 || |2 1 0 -1> || 933.129 || || 140/81 || |2 -4 1 1> || 947.320 || || 7/4 || |-2 0 0 1> || 968.826 || || 16/9 || |4 -2> || 996.090 || || 25/14 || |-1 0 2 -1> || 1003.802 || || 49/27 || |0 -3 0 2> || 1031.787 || || 64/35 || |6 0 -1 -1> || 1044.860 || || 90/49 || |1 2 1 -2> || 1052.572 || || 50/27 || |1 -3 2> || 1066.762 || || 28/15 || |2 -1 -1 1> || 1080.557 || || 15/8 || |-3 1 1> || 1088.269 || || 40/21 || |3 -1 1 -1> || 1115.533 || || 48/25 || |4 1 -2> || 1129.328 || || 27/14 || |-1 3 0 -1> || 1137.039 || || 35/18 || |-1 -2 1 1> || 1151.230 || || 49/25 || |0 0 -2 2> || 1165.024 || || 63/32 || |-5 2 0 1> || 1172.736 || || 160/81 || |5 -4 1> || 1178.494 || || 2/1 || |1> || 1200.000 || =Music= [[http://micro.soonlabel.com/0-praxis/audio/August/august_12_Ruckus.mp3|Ruckus From the Quiet Zone]] by Ralph Lewis [[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]] (Blog entry: [[http://chrisvaisvil.com/gustav-holsts-mars-arranged-for-7-limit-ji-orchestra/|Gustav Holst’s Mars arranged for 7-limit JI Orchestra « Music & Techniques by Chris Vaisvil]]) [[http://micro.soonlabel.com/gene_ward_smith/Others/Kite/Consolation%20%233%20by%20Ken%20Stillwell%20retuned.mp3|Liszt Consolation #3]] Ken Stillwell performance, retuned by Kite Giedraitis to the [[kite33]] 7-limit JI scale =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="23473462"]]
Original HTML content:
<html><head><title>7-limit</title></head><body>The <em>7-limit</em> or "7 prime-limit" 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_27">35/27</a>, 54/35, 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.<br />
<br />
"7 odd-limit" 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 "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 <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="/1edo">1edo</a>, <a class="wiki_link" href="/2edo">2edo</a>, <a class="wiki_link" href="/3edo">3edo</a>, <a class="wiki_link" href="/4edo">4edo</a>, <a class="wiki_link" href="/5edo">5edo</a>, <a class="wiki_link" href="/7edo">7edo</a>, <a class="wiki_link" href="/9edo">9edo</a>, <a class="wiki_link" href="/10edo">10edo</a>, <a class="wiki_link" href="/12edo">12edo</a>, <a class="wiki_link" href="/15edo">15edo</a>, <a class="wiki_link" href="/19edo">19edo</a>, <a class="wiki_link" href="/21edo">21edo</a>, <a class="wiki_link" href="/22edo">22edo</a>, <a class="wiki_link" href="/31edo">31edo</a>, <a class="wiki_link" href="/53edo">53edo</a>, <a class="wiki_link" href="/84edo">84edo</a>, <a class="wiki_link" href="/87edo">87edo</a>, <a class="wiki_link" href="/94edo">94edo</a>, <a class="wiki_link" href="/99edo">99edo</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>, <a class="wiki_link" href="/171edo">171edo</a>, <a class="wiki_link" href="/270edo">270edo</a>, <a class="wiki_link" href="/410edo">410edo</a>, <a class="wiki_link" href="/441edo">441edo</a> and <a class="wiki_link" href="/612edo">612edo</a> provide good approximations to the 7-limit.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:1:<h2> --><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>
<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><br />
</td>
<td>0.000<br />
</td>
</tr>
<tr>
<td>81/80<br />
</td>
<td>|-4 4 -1><br />
</td>
<td>21.506<br />
</td>
</tr>
<tr>
<td>64/63<br />
</td>
<td>|6 -2 0 -1><br />
</td>
<td>27.264<br />
</td>
</tr>
<tr>
<td>50/49<br />
</td>
<td>|1 0 2 -2><br />
</td>
<td>34.976<br />
</td>
</tr>
<tr>
<td>36/35<br />
</td>
<td>|2 2 -1 -1><br />
</td>
<td>48.770<br />
</td>
</tr>
<tr>
<td>28/27<br />
</td>
<td>|2 -3 0 1><br />
</td>
<td>62.961<br />
</td>
</tr>
<tr>
<td>25/24<br />
</td>
<td>|-3 -1 2><br />
</td>
<td>70.672<br />
</td>
</tr>
<tr>
<td>21/20<br />
</td>
<td>|-2 1 -1 1><br />
</td>
<td>84.467<br />
</td>
</tr>
<tr>
<td>16/15<br />
</td>
<td>|4 -1 -1><br />
</td>
<td>111.731<br />
</td>
</tr>
<tr>
<td>15/14<br />
</td>
<td>|-1 1 1 -1><br />
</td>
<td>119.443<br />
</td>
</tr>
<tr>
<td>27/25<br />
</td>
<td>|0 3 -2><br />
</td>
<td>133.238<br />
</td>
</tr>
<tr>
<td>49/45<br />
</td>
<td>|0 -2 -1 2><br />
</td>
<td>147.428<br />
</td>
</tr>
<tr>
<td>35/32<br />
</td>
<td>|-5 0 1 1><br />
</td>
<td>155.140<br />
</td>
</tr>
<tr>
<td>54/49<br />
</td>
<td>|1 3 0 -2><br />
</td>
<td>168.213<br />
</td>
</tr>
<tr>
<td>28/25<br />
</td>
<td>|2 0 -2 1><br />
</td>
<td>196.198<br />
</td>
</tr>
<tr>
<td>9/8<br />
</td>
<td>|-3 2><br />
</td>
<td>203.910<br />
</td>
</tr>
<tr>
<td>8/7<br />
</td>
<td>|3 0 0 -1><br />
</td>
<td>231.174<br />
</td>
</tr>
<tr>
<td>81/70<br />
</td>
<td>|-1 4 -1 -1><br />
</td>
<td>252.68<br />
</td>
</tr>
<tr>
<td>7/6<br />
</td>
<td>|-1 -1 0 1><br />
</td>
<td>266.871<br />
</td>
</tr>
<tr>
<td>75/64<br />
</td>
<td>|-6 1 2><br />
</td>
<td>274.582<br />
</td>
</tr>
<tr>
<td>32/27<br />
</td>
<td>|5 -3><br />
</td>
<td>294.135<br />
</td>
</tr>
<tr>
<td>25/21<br />
</td>
<td>|0 -1 2 -1><br />
</td>
<td>301.847<br />
</td>
</tr>
<tr>
<td>6/5<br />
</td>
<td>|1 1 -1><br />
</td>
<td>315.641<br />
</td>
</tr>
<tr>
<td>98/81<br />
</td>
<td>|1 -4 0 2><br />
</td>
<td>329.832<br />
</td>
</tr>
<tr>
<td>60/49<br />
</td>
<td>|2 1 1 -2><br />
</td>
<td>350.617<br />
</td>
</tr>
<tr>
<td>49/40<br />
</td>
<td>|-3 0 -1 2><br />
</td>
<td>351.338<br />
</td>
</tr>
<tr>
<td>100/81<br />
</td>
<td>|2 -4 2><br />
</td>
<td>364.807<br />
</td>
</tr>
<tr>
<td>56/45<br />
</td>
<td>|3 -2 -1 1><br />
</td>
<td>378.602<br />
</td>
</tr>
<tr>
<td>63/50<br />
</td>
<td>|-1 2 -2 1><br />
</td>
<td>400.108<br />
</td>
</tr>
<tr>
<td>81/64<br />
</td>
<td>|-6 4><br />
</td>
<td>407.820<br />
</td>
</tr>
<tr>
<td>80/63<br />
</td>
<td>|4 -2 1 -1><br />
</td>
<td>413.578<br />
</td>
</tr>
<tr>
<td>32/25<br />
</td>
<td>|5 0 -2><br />
</td>
<td>427.373<br />
</td>
</tr>
<tr>
<td>9/7<br />
</td>
<td>|0 2 0 -1><br />
</td>
<td>435.084<br />
</td>
</tr>
<tr>
<td>35/27<br />
</td>
<td>|0 -3 1 1><br />
</td>
<td>449.275<br />
</td>
</tr>
<tr>
<td>64/49<br />
</td>
<td>|6 0 0 -2><br />
</td>
<td>462.348<br />
</td>
</tr>
<tr>
<td>98/75<br />
</td>
<td>|1 -1 -2 2><br />
</td>
<td>463.069<br />
</td>
</tr>
<tr>
<td>21/16<br />
</td>
<td>|-4 1 0 1><br />
</td>
<td>470.781<br />
</td>
</tr>
<tr>
<td>4/3<br />
</td>
<td>|2 -1><br />
</td>
<td>498.045<br />
</td>
</tr>
<tr>
<td>75/56<br />
</td>
<td>|-3 1 2 -1><br />
</td>
<td>505.757<br />
</td>
</tr>
<tr>
<td>27/20<br />
</td>
<td>|-2 3 -1><br />
</td>
<td>519.551<br />
</td>
</tr>
<tr>
<td>49/36<br />
</td>
<td>|-2 -2 0 2><br />
</td>
<td>533.742<br />
</td>
</tr>
<tr>
<td>48/35<br />
</td>
<td>|4 1 -1 -1><br />
</td>
<td>546.815<br />
</td>
</tr>
<tr>
<td>112/81<br />
</td>
<td>|4 -4 0 1><br />
</td>
<td>561.006<br />
</td>
</tr>
<tr>
<td>7/5<br />
</td>
<td>|0 0 -1 1><br />
</td>
<td>582.512<br />
</td>
</tr>
<tr>
<td>45/32<br />
</td>
<td>|-5 2 1><br />
</td>
<td>590.224<br />
</td>
</tr>
<tr>
<td>64/45<br />
</td>
<td>|6 -2 -1><br />
</td>
<td>609.776<br />
</td>
</tr>
<tr>
<td>10/7<br />
</td>
<td>|1 0 1 -1><br />
</td>
<td>617.488<br />
</td>
</tr>
<tr>
<td>81/56<br />
</td>
<td>|-3 4 0 -1><br />
</td>
<td>638.994<br />
</td>
</tr>
<tr>
<td>35/24<br />
</td>
<td>|-3 -1 1 1><br />
</td>
<td>653.185<br />
</td>
</tr>
<tr>
<td>72/49<br />
</td>
<td>|3 2 0 -2><br />
</td>
<td>666.258<br />
</td>
</tr>
<tr>
<td>40/27<br />
</td>
<td>|3 -3 1><br />
</td>
<td>680.449<br />
</td>
</tr>
<tr>
<td>112/75<br />
</td>
<td>|4 -1 -2 1><br />
</td>
<td>694.243<br />
</td>
</tr>
<tr>
<td>3/2<br />
</td>
<td>|-1 1><br />
</td>
<td>701.955<br />
</td>
</tr>
<tr>
<td>32/21<br />
</td>
<td>|5 -1 0 -1><br />
</td>
<td>729.219<br />
</td>
</tr>
<tr>
<td>75/49<br />
</td>
<td>|0 1 2 -2><br />
</td>
<td>736.931<br />
</td>
</tr>
<tr>
<td>49/32<br />
</td>
<td>|-5 0 0 2><br />
</td>
<td>737.652<br />
</td>
</tr>
<tr>
<td>54/35<br />
</td>
<td>|1 3 -1 -1><br />
</td>
<td>750.725<br />
</td>
</tr>
<tr>
<td>14/9<br />
</td>
<td>|1 -2 0 1><br />
</td>
<td>764.916<br />
</td>
</tr>
<tr>
<td>25/16<br />
</td>
<td>|-4 0 2><br />
</td>
<td>772.627<br />
</td>
</tr>
<tr>
<td>63/40<br />
</td>
<td>|-3 2 -1 1><br />
</td>
<td>786.422<br />
</td>
</tr>
<tr>
<td>128/81<br />
</td>
<td>|7 -4><br />
</td>
<td>792.180<br />
</td>
</tr>
<tr>
<td>100/63<br />
</td>
<td>|2 -2 2 -1><br />
</td>
<td>799.892<br />
</td>
</tr>
<tr>
<td>45/28<br />
</td>
<td>|-2 2 1 -1><br />
</td>
<td>821.398<br />
</td>
</tr>
<tr>
<td>81/50<br />
</td>
<td>|-1 4 -2><br />
</td>
<td>835.193<br />
</td>
</tr>
<tr>
<td>80/49<br />
</td>
<td>|4 0 1 -2><br />
</td>
<td>848.662<br />
</td>
</tr>
<tr>
<td>49/30<br />
</td>
<td>|-1 -1 -1 2><br />
</td>
<td>849.383<br />
</td>
</tr>
<tr>
<td>81/49<br />
</td>
<td>|0 4 0 -2><br />
</td>
<td>870.168<br />
</td>
</tr>
<tr>
<td>5/3<br />
</td>
<td>|0 -1 1><br />
</td>
<td>884.359<br />
</td>
</tr>
<tr>
<td>42/25<br />
</td>
<td>|1 1 -2 1><br />
</td>
<td>898.153<br />
</td>
</tr>
<tr>
<td>27/16<br />
</td>
<td>|-4 3><br />
</td>
<td>905.865<br />
</td>
</tr>
<tr>
<td>128/75<br />
</td>
<td>|7 -1 -2><br />
</td>
<td>925.418<br />
</td>
</tr>
<tr>
<td>12/7<br />
</td>
<td>|2 1 0 -1><br />
</td>
<td>933.129<br />
</td>
</tr>
<tr>
<td>140/81<br />
</td>
<td>|2 -4 1 1><br />
</td>
<td>947.320<br />
</td>
</tr>
<tr>
<td>7/4<br />
</td>
<td>|-2 0 0 1><br />
</td>
<td>968.826<br />
</td>
</tr>
<tr>
<td>16/9<br />
</td>
<td>|4 -2><br />
</td>
<td>996.090<br />
</td>
</tr>
<tr>
<td>25/14<br />
</td>
<td>|-1 0 2 -1><br />
</td>
<td>1003.802<br />
</td>
</tr>
<tr>
<td>49/27<br />
</td>
<td>|0 -3 0 2><br />
</td>
<td>1031.787<br />
</td>
</tr>
<tr>
<td>64/35<br />
</td>
<td>|6 0 -1 -1><br />
</td>
<td>1044.860<br />
</td>
</tr>
<tr>
<td>90/49<br />
</td>
<td>|1 2 1 -2><br />
</td>
<td>1052.572<br />
</td>
</tr>
<tr>
<td>50/27<br />
</td>
<td>|1 -3 2><br />
</td>
<td>1066.762<br />
</td>
</tr>
<tr>
<td>28/15<br />
</td>
<td>|2 -1 -1 1><br />
</td>
<td>1080.557<br />
</td>
</tr>
<tr>
<td>15/8<br />
</td>
<td>|-3 1 1><br />
</td>
<td>1088.269<br />
</td>
</tr>
<tr>
<td>40/21<br />
</td>
<td>|3 -1 1 -1><br />
</td>
<td>1115.533<br />
</td>
</tr>
<tr>
<td>48/25<br />
</td>
<td>|4 1 -2><br />
</td>
<td>1129.328<br />
</td>
</tr>
<tr>
<td>27/14<br />
</td>
<td>|-1 3 0 -1><br />
</td>
<td>1137.039<br />
</td>
</tr>
<tr>
<td>35/18<br />
</td>
<td>|-1 -2 1 1><br />
</td>
<td>1151.230<br />
</td>
</tr>
<tr>
<td>49/25<br />
</td>
<td>|0 0 -2 2><br />
</td>
<td>1165.024<br />
</td>
</tr>
<tr>
<td>63/32<br />
</td>
<td>|-5 2 0 1><br />
</td>
<td>1172.736<br />
</td>
</tr>
<tr>
<td>160/81<br />
</td>
<td>|5 -4 1><br />
</td>
<td>1178.494<br />
</td>
</tr>
<tr>
<td>2/1<br />
</td>
<td>|1><br />
</td>
<td>1200.000<br />
</td>
</tr>
</table>
<br />
<br />
<!-- ws:start:WikiTextHeadingRule:3:<h1> --><h1 id="toc1"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:3 -->Music</h1>
<a class="wiki_link_ext" href="http://micro.soonlabel.com/0-praxis/audio/August/august_12_Ruckus.mp3" rel="nofollow">Ruckus From the Quiet Zone</a> by Ralph Lewis<br />
<a class="wiki_link_ext" href="http://micro.soonlabel.com/blue-tuning/blue-ji-excluded-by-peers.mp3" rel="nofollow">Excluded by Peers</a> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a><br />
<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> by Chris Vaisvil<br />
<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> by <a class="wiki_link" href="/Ivor%20Darreg">Ivor Darreg</a> <-- are there any notations for it?<br />
<a class="wiki_link_ext" href="http://www.archive.org/details/ClintonVariations" rel="nofollow">Clinton Variations</a> <a class="wiki_link_ext" href="http://www.archive.org/download/ClintonVariations/clinton.mp3" rel="nofollow">play</a> by <a class="wiki_link" href="/Gene%20Ward%20Smith">Gene Ward Smith</a><br />
<a class="wiki_link_ext" href="http://www.youtube.com/watch?v=HzQmaxDIxnc&feature=channel_video_title" rel="nofollow">Pachelbel's Canon in D in 7-limit JI</a> <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><br />
<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> 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> (Blog entry: <a class="wiki_link_ext" href="http://chrisvaisvil.com/gustav-holsts-mars-arranged-for-7-limit-ji-orchestra/" rel="nofollow">Gustav Holst’s Mars arranged for 7-limit JI Orchestra « Music & Techniques by Chris Vaisvil</a>)<br />
<a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Kite/Consolation%20%233%20by%20Ken%20Stillwell%20retuned.mp3" rel="nofollow">Liszt Consolation #3</a> Ken Stillwell performance, retuned by Kite Giedraitis to the <a class="wiki_link" href="/kite33">kite33</a> 7-limit JI scale<br />
<br />
<!-- ws:start:WikiTextHeadingRule:5:<h1> --><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 />
<br />
<br />
<br />
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