List of root-3rd-P5 triads in JI
IMPORTED REVISION FROM WIKISPACES
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- The original revision id was 602525210.
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Original Wikitext content:
The basic structure of major and minor triads -- two stacked thirds which total to a perfect fifth -- can be generalized to produce an infinity of chords with their own distinct qualities. What follows is a list of all such chords that are possible in 47-prime-limit [[Just Intonation]], assuming a [[3_2|3/2]] perfect fifth. Wiki authors can feel free to extend this list beyond the 47-limit or leave it at that, but of course, it should be noted that a complete list would be infinite. The narrowest "third" is 27/25, which is decidedly not a third; and the widest "third" is 50/27, which ditto. Thus, the entire conceptual category of a third and then some is covered, and composers can decide for themselves what counts as a "third" and what doesn't. ||~ chord ||||~ first interval ||||~ second interval ||~ prime ||~ odd ||~ comments || ||~ ||~ ratio ||~ cents ||~ ratio ||~ cents ||~ limit ||~ limit ||~ || ||= 50:54:75 ||= 27/25 ||= 133.238 ||= 25/18 ||= 568.717 ||= 5 ||= 27 ||= || ||= 12:13:18 ||= 13/12 ||= 138.573 ||= 18/13 ||= 563.382 ||= 13 ||= 13 ||= || ||= 46:50:69 ||= 25/23 ||= 144.353 ||= 69/50 ||= 557.602 ||= 23 ||= 69 ||= || ||= 22:24:33 ||= 12/11 ||= 150.637 ||= 11/8 ||= 551.318 ||= 11 ||= 33 ||= || ||= 42:46:63 ||= 23/21 ||= 157.493 ||= 63/46 ||= 544.462 ||= 23 ||= 63 ||= || ||= 10:11:15 ||= 11/10 ||= 165.004 ||= 15/11 ||= 536.951 ||= 11 ||= 15 ||= || ||= 38:42:57 ||= 21/19 ||= 173.268 ||= 19/14 ||= 528.687 ||= 19 ||= 57 ||= || ||= 18:20:27 ||= 10/9 ||= 182.404 ||= 27/20 ||= 519.551 ||= 5 ||= 27 ||= || ||= 34:38:51 ||= 19/17 ||= 192.558 ||= 51/38 ||= 509.397 ||= 19 ||= 51 ||= Quasi-meantone Suspended 2nd || ||= 8:9:12 ||= 9/8 ||= 203.910 ||= 4/3 ||= 498.045 ||= 3 ||= 9 ||= Suspended 2nd || ||= 30:34:45 ||= [[17_15|17/15]] ||= 216.687 ||= 45/34 ||= 485.268 ||= 17 ||= 45 ||= || ||= 22:25:33 ||= [[25_22|25/22]] ||= 221.309 ||= [[33_25|33/25]] ||= 480.646 ||= 11 ||= 33 ||= || ||= 36:41:54 ||= 41/36 ||= 225.152 ||= 54/41 ||= 476.803 ||= 41 ||= 41 ||= || ||= 14:16:21 ||= [[8_7|8/7]] ||= 231.174 ||= [[21_16|21/16]] ||= 470.781 ||= 7 ||= 21 ||= || ||= 20:23:30 ||= 23/20 ||= 241.961 ||= 30/23 ||= 459.994 ||= 23 ||= 23 ||= || ||= 26:30:39 ||= [[15_13|15/13]] ||= 247.741 ||= [[13_10|13/10]] ||= 454.214 ||= 13 ||= 15 ||= Inverse "barbados" triad || ||= 32:37:48 ||= [[37_32|37/32]] ||= 251.344 ||= 48/37 ||= 450.611 ||= 37 ||= 37 ||= Rooted inframinor triad || ||= 6:7:9 ||= [[7_6|7/6]] ||= 266.871 ||= [[9_7|9/7]] ||= 435.084 ||= 7 ||= 9 ||= Septimal subminor || ||= 40:47:60 ||= 47/40 ||= 279.193 ||= 60/47 ||= 422.762 ||= 47 ||= 47 ||= || ||= 28:33:42 ||= 33/28 ||= 284.447 ||= [[14_11|14/11]] ||= 417.508 ||= 11 ||= 33 ||= || ||= 22:26:33 ||= [[13_11|13/11]] ||= 289.210 ||= 33/26 ||= 412.745 ||= 13 ||= 33 ||= Neo-Gothic minor triad || ||= 16:19:24 ||= [[19_16|19/16]] ||= 297.513 ||= 24/19 ||= 404.442 ||= 19 ||= 19 ||= Rooted minor triad || ||= 26:31:39 ||= 31/26 ||= 304.508 ||= 39/31 ||= 397.447 ||= 31 ||= 39 ||= || ||= 36:43:54 ||= 43/36 ||= 307.608 ||= 54/43 ||= 394.347 ||= 43 ||= 43 ||= || ||= 10:12:15 ||= [[6_5|6/5]] ||= 315.641 ||= [[5_4|5/4]] ||= 386.314 ||= 5 ||= 5 ||= 5-limit minor || ||= 24:29:36 ||= 29/24 ||= 327.622 ||= 36/29 ||= 374.333 ||= 29 ||= 29 ||= || ||= 14:17:21 ||= [[17_14|17/14]] ||= 336.130 ||= 21/17 ||= 365.825 ||= 17 ||= 21 ||= [[17-limit]] supraminor || ||= 32:39:48 ||= [[39_32|39/32]] ||= 342.483 ||= [[16_13|16/13]] ||= 359.472 ||= 13 ||= 39 ||= Rooted neutral triad || ||= 18:22:27 ||= [[11_9|11/9]] ||= 347.408 ||= 27/22 ||= 354.547 ||= 11 ||= 27 ||= Neutral || ||= 22:27:33 ||= 27/22 ||= 354.547 ||= 11/9 ||= 347.408 ||= 11 ||= 33 ||= Neutral || ||= 26:32:39 ||= 16/13 ||= 359.472 ||= 39/32 ||= 342.483 ||= 13 ||= 39 ||= || ||= 30:37:45 ||= 37/30 ||= 363.075 ||= 45/37 ||= 338.880 ||= 37 ||= 45 ||= || ||= 4:5:6 ||= 5/4 ||= 386.314 ||= 6/5 ||= 315.641 ||= 5 ||= 5 ||= 5-limit major || ||= 30:38:45 ||= 19/15 ||= 409.244 ||= 45/38 ||= 292.711 ||= 19 ||= 45 ||= || ||= 26:33:39 ||= 33/26 ||= 412.745 ||= 13/11 ||= 289.210 ||= 13 ||= 33 ||= || ||= 22:28:33 ||= 14/11 ||= 417.508 ||= 33/28 ||= 284.447 ||= 11 ||= 33 ||= Neo-Gothic major triad || ||= 94:120:141 ||= 60/47 ||= 422.762 ||= 47/40 ||= 279.193 ||= 47 ||= 141 ||= || ||= 18:23:27 ||= 23/18 ||= 424.364 ||= 27/23 ||= 277.591 ||= 23 ||= 27 ||= || ||= 32:41:48 ||= [[41_32|41/32]] ||= 429.062 ||= 48/41 ||= 272.893 ||= 41 ||= 41 ||= Rooted supermajor triad || ||= 14:18:21 ||= 9/7 ||= 435.084 ||= 7/6 ||= 266.871 ||= 7 ||= 9 ||= Septimal supermajor || ||= 24:31:36 ||= 31/24 ||= 443.081 ||= 36/31 ||= 258.874 ||= 31 ||= 31 ||= || ||= 74:96:111 ||= 48/37 ||= 450.611 ||= 37/32 ||= 251.344 ||= 37 ||= 37 ||= <span style="display: block; text-align: center;">Rooted ultramajor triad</span> || ||= 10:13:15 ||= 13/10 ||= 454.214 ||= 15/13 ||= 247.741 ||= 13 ||= 15 ||= "Barbados" triad || ||= 36:47:54 ||= 47/36 ||= 461.597 ||= 54/47 ||= 240.358 ||= 47 ||= 47 ||= || ||= 26:34:39 ||= [[17_13|17/13]] ||= 464.428 ||= 39/34 ||= 237.527 ||= 17 ||= 39 ||= || ||= 16:21:24 ||= 21/16 ||= 470.781 ||= 8/7 ||= 231.174 ||= 7 ||= 21 ||= || ||= 22:29:33 ||= 29/22 ||= 478.259 ||= 33/29 ||= 223.696 ||= 29 ||= 29 ||= || ||= 28:37:42 ||= 37/28 ||= 482.518 ||= 42/37 ||= 219.437 ||= 37 ||= 37 ||= || ||= 34:45:51 ||= 45/34 ||= 485.268 ||= 17/15 ||= 216.687 ||= 17 ||= 51 ||= || ||= 6:8:9 ||= 4/3 ||= 498.045 ||= 9/8 ||= 203.910 ||= 3 ||= 9 ||= Suspended 4th || ||= 38:51:57 ||= 51/38 ||= 509.397 ||= 19/17 ||= 192.558 ||= 19 ||= 57 ||= <span style="display: block; text-align: center;">Quasi-meantone Suspended 4th</span> || ||= 20:27:30 ||= 27/20 ||= 519.551 ||= 10/9 ||= 182.404 ||= 5 ||= 27 ||= || ||= <span style="display: block; text-align: center;">14:19:21</span> ||= 19/14 ||= 529.687 ||= 21/19 ||= 173.268 ||= 19 ||= 21 ||= || ||= 22:30:33 ||= 15/11 ||= 536.951 ||= 11/10 ||= 165.004 ||= 11 ||= 33 ||= || ||= 46:63:69 ||= 63/46 ||= 544.462 ||= 23/21 ||= 157.493 ||= 23 ||= 69 ||= || ||= 8:11:12 ||= 11/8 ||= 551.318 ||= 12/11 ||= 150.637 ||= 11 ||= 11 ||= || ||= 50:69:75 ||= 69/50 ||= 557.602 ||= 25/23 ||= 144.353 ||= 23 ||= 75 ||= || ||= 26:36:39 ||= 18/13 ||= 563.382 ||= 13/12 ||= 138.573 ||= 13 ||= 39 ||= || ||= 18:25:27 ||= 25/18 ||= 568.717 ||= 27/25 ||= 133.238 ||= 5 ||= 27 ||= || ||= .................... ||= ............. ||= .................. ||= ............. ||= .................. ||= ............. ||= ............ ||= .......................................... ||
Original HTML content:
<html><head><title>List of root-3rd-P5 triads in JI</title></head><body>The basic structure of major and minor triads -- two stacked thirds which total to a perfect fifth -- can be generalized to produce an infinity of chords with their own distinct qualities. What follows is a list of all such chords that are possible in 47-prime-limit <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, assuming a <a class="wiki_link" href="/3_2">3/2</a> perfect fifth. Wiki authors can feel free to extend this list beyond the 47-limit or leave it at that, but of course, it should be noted that a complete list would be infinite. The narrowest "third" is 27/25, which is decidedly not a third; and the widest "third" is 50/27, which ditto. Thus, the entire conceptual category of a third and then some is covered, and composers can decide for themselves what counts as a "third" and what doesn't.<br />
<br />
<table class="wiki_table">
<tr>
<th>chord<br />
</th>
<th colspan="2">first interval<br />
</th>
<th colspan="2">second interval<br />
</th>
<th>prime<br />
</th>
<th>odd<br />
</th>
<th>comments<br />
</th>
</tr>
<tr>
<th><br />
</th>
<th>ratio<br />
</th>
<th>cents<br />
</th>
<th>ratio<br />
</th>
<th>cents<br />
</th>
<th>limit<br />
</th>
<th>limit<br />
</th>
<th><br />
</th>
</tr>
<tr>
<td style="text-align: center;">50:54:75<br />
</td>
<td style="text-align: center;">27/25<br />
</td>
<td style="text-align: center;">133.238<br />
</td>
<td style="text-align: center;">25/18<br />
</td>
<td style="text-align: center;">568.717<br />
</td>
<td style="text-align: center;">5<br />
</td>
<td style="text-align: center;">27<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">12:13:18<br />
</td>
<td style="text-align: center;">13/12<br />
</td>
<td style="text-align: center;">138.573<br />
</td>
<td style="text-align: center;">18/13<br />
</td>
<td style="text-align: center;">563.382<br />
</td>
<td style="text-align: center;">13<br />
</td>
<td style="text-align: center;">13<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">46:50:69<br />
</td>
<td style="text-align: center;">25/23<br />
</td>
<td style="text-align: center;">144.353<br />
</td>
<td style="text-align: center;">69/50<br />
</td>
<td style="text-align: center;">557.602<br />
</td>
<td style="text-align: center;">23<br />
</td>
<td style="text-align: center;">69<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">22:24:33<br />
</td>
<td style="text-align: center;">12/11<br />
</td>
<td style="text-align: center;">150.637<br />
</td>
<td style="text-align: center;">11/8<br />
</td>
<td style="text-align: center;">551.318<br />
</td>
<td style="text-align: center;">11<br />
</td>
<td style="text-align: center;">33<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">42:46:63<br />
</td>
<td style="text-align: center;">23/21<br />
</td>
<td style="text-align: center;">157.493<br />
</td>
<td style="text-align: center;">63/46<br />
</td>
<td style="text-align: center;">544.462<br />
</td>
<td style="text-align: center;">23<br />
</td>
<td style="text-align: center;">63<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">10:11:15<br />
</td>
<td style="text-align: center;">11/10<br />
</td>
<td style="text-align: center;">165.004<br />
</td>
<td style="text-align: center;">15/11<br />
</td>
<td style="text-align: center;">536.951<br />
</td>
<td style="text-align: center;">11<br />
</td>
<td style="text-align: center;">15<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">38:42:57<br />
</td>
<td style="text-align: center;">21/19<br />
</td>
<td style="text-align: center;">173.268<br />
</td>
<td style="text-align: center;">19/14<br />
</td>
<td style="text-align: center;">528.687<br />
</td>
<td style="text-align: center;">19<br />
</td>
<td style="text-align: center;">57<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">18:20:27<br />
</td>
<td style="text-align: center;">10/9<br />
</td>
<td style="text-align: center;">182.404<br />
</td>
<td style="text-align: center;">27/20<br />
</td>
<td style="text-align: center;">519.551<br />
</td>
<td style="text-align: center;">5<br />
</td>
<td style="text-align: center;">27<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">34:38:51<br />
</td>
<td style="text-align: center;">19/17<br />
</td>
<td style="text-align: center;">192.558<br />
</td>
<td style="text-align: center;">51/38<br />
</td>
<td style="text-align: center;">509.397<br />
</td>
<td style="text-align: center;">19<br />
</td>
<td style="text-align: center;">51<br />
</td>
<td style="text-align: center;">Quasi-meantone Suspended 2nd<br />
</td>
</tr>
<tr>
<td style="text-align: center;">8:9:12<br />
</td>
<td style="text-align: center;">9/8<br />
</td>
<td style="text-align: center;">203.910<br />
</td>
<td style="text-align: center;">4/3<br />
</td>
<td style="text-align: center;">498.045<br />
</td>
<td style="text-align: center;">3<br />
</td>
<td style="text-align: center;">9<br />
</td>
<td style="text-align: center;">Suspended 2nd<br />
</td>
</tr>
<tr>
<td style="text-align: center;">30:34:45<br />
</td>
<td style="text-align: center;"><a class="wiki_link" href="/17_15">17/15</a><br />
</td>
<td style="text-align: center;">216.687<br />
</td>
<td style="text-align: center;">45/34<br />
</td>
<td style="text-align: center;">485.268<br />
</td>
<td style="text-align: center;">17<br />
</td>
<td style="text-align: center;">45<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">22:25:33<br />
</td>
<td style="text-align: center;"><a class="wiki_link" href="/25_22">25/22</a><br />
</td>
<td style="text-align: center;">221.309<br />
</td>
<td style="text-align: center;"><a class="wiki_link" href="/33_25">33/25</a><br />
</td>
<td style="text-align: center;">480.646<br />
</td>
<td style="text-align: center;">11<br />
</td>
<td style="text-align: center;">33<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">36:41:54<br />
</td>
<td style="text-align: center;">41/36<br />
</td>
<td style="text-align: center;">225.152<br />
</td>
<td style="text-align: center;">54/41<br />
</td>
<td style="text-align: center;">476.803<br />
</td>
<td style="text-align: center;">41<br />
</td>
<td style="text-align: center;">41<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">14:16:21<br />
</td>
<td style="text-align: center;"><a class="wiki_link" href="/8_7">8/7</a><br />
</td>
<td style="text-align: center;">231.174<br />
</td>
<td style="text-align: center;"><a class="wiki_link" href="/21_16">21/16</a><br />
</td>
<td style="text-align: center;">470.781<br />
</td>
<td style="text-align: center;">7<br />
</td>
<td style="text-align: center;">21<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">20:23:30<br />
</td>
<td style="text-align: center;">23/20<br />
</td>
<td style="text-align: center;">241.961<br />
</td>
<td style="text-align: center;">30/23<br />
</td>
<td style="text-align: center;">459.994<br />
</td>
<td style="text-align: center;">23<br />
</td>
<td style="text-align: center;">23<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">26:30:39<br />
</td>
<td style="text-align: center;"><a class="wiki_link" href="/15_13">15/13</a><br />
</td>
<td style="text-align: center;">247.741<br />
</td>
<td style="text-align: center;"><a class="wiki_link" href="/13_10">13/10</a><br />
</td>
<td style="text-align: center;">454.214<br />
</td>
<td style="text-align: center;">13<br />
</td>
<td style="text-align: center;">15<br />
</td>
<td style="text-align: center;">Inverse "barbados" triad<br />
</td>
</tr>
<tr>
<td style="text-align: center;">32:37:48<br />
</td>
<td style="text-align: center;"><a class="wiki_link" href="/37_32">37/32</a><br />
</td>
<td style="text-align: center;">251.344<br />
</td>
<td style="text-align: center;">48/37<br />
</td>
<td style="text-align: center;">450.611<br />
</td>
<td style="text-align: center;">37<br />
</td>
<td style="text-align: center;">37<br />
</td>
<td style="text-align: center;">Rooted inframinor triad<br />
</td>
</tr>
<tr>
<td style="text-align: center;">6:7:9<br />
</td>
<td style="text-align: center;"><a class="wiki_link" href="/7_6">7/6</a><br />
</td>
<td style="text-align: center;">266.871<br />
</td>
<td style="text-align: center;"><a class="wiki_link" href="/9_7">9/7</a><br />
</td>
<td style="text-align: center;">435.084<br />
</td>
<td style="text-align: center;">7<br />
</td>
<td style="text-align: center;">9<br />
</td>
<td style="text-align: center;">Septimal subminor<br />
</td>
</tr>
<tr>
<td style="text-align: center;">40:47:60<br />
</td>
<td style="text-align: center;">47/40<br />
</td>
<td style="text-align: center;">279.193<br />
</td>
<td style="text-align: center;">60/47<br />
</td>
<td style="text-align: center;">422.762<br />
</td>
<td style="text-align: center;">47<br />
</td>
<td style="text-align: center;">47<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">28:33:42<br />
</td>
<td style="text-align: center;">33/28<br />
</td>
<td style="text-align: center;">284.447<br />
</td>
<td style="text-align: center;"><a class="wiki_link" href="/14_11">14/11</a><br />
</td>
<td style="text-align: center;">417.508<br />
</td>
<td style="text-align: center;">11<br />
</td>
<td style="text-align: center;">33<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">22:26:33<br />
</td>
<td style="text-align: center;"><a class="wiki_link" href="/13_11">13/11</a><br />
</td>
<td style="text-align: center;">289.210<br />
</td>
<td style="text-align: center;">33/26<br />
</td>
<td style="text-align: center;">412.745<br />
</td>
<td style="text-align: center;">13<br />
</td>
<td style="text-align: center;">33<br />
</td>
<td style="text-align: center;">Neo-Gothic minor triad<br />
</td>
</tr>
<tr>
<td style="text-align: center;">16:19:24<br />
</td>
<td style="text-align: center;"><a class="wiki_link" href="/19_16">19/16</a><br />
</td>
<td style="text-align: center;">297.513<br />
</td>
<td style="text-align: center;">24/19<br />
</td>
<td style="text-align: center;">404.442<br />
</td>
<td style="text-align: center;">19<br />
</td>
<td style="text-align: center;">19<br />
</td>
<td style="text-align: center;">Rooted minor triad<br />
</td>
</tr>
<tr>
<td style="text-align: center;">26:31:39<br />
</td>
<td style="text-align: center;">31/26<br />
</td>
<td style="text-align: center;">304.508<br />
</td>
<td style="text-align: center;">39/31<br />
</td>
<td style="text-align: center;">397.447<br />
</td>
<td style="text-align: center;">31<br />
</td>
<td style="text-align: center;">39<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">36:43:54<br />
</td>
<td style="text-align: center;">43/36<br />
</td>
<td style="text-align: center;">307.608<br />
</td>
<td style="text-align: center;">54/43<br />
</td>
<td style="text-align: center;">394.347<br />
</td>
<td style="text-align: center;">43<br />
</td>
<td style="text-align: center;">43<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">10:12:15<br />
</td>
<td style="text-align: center;"><a class="wiki_link" href="/6_5">6/5</a><br />
</td>
<td style="text-align: center;">315.641<br />
</td>
<td style="text-align: center;"><a class="wiki_link" href="/5_4">5/4</a><br />
</td>
<td style="text-align: center;">386.314<br />
</td>
<td style="text-align: center;">5<br />
</td>
<td style="text-align: center;">5<br />
</td>
<td style="text-align: center;">5-limit minor<br />
</td>
</tr>
<tr>
<td style="text-align: center;">24:29:36<br />
</td>
<td style="text-align: center;">29/24<br />
</td>
<td style="text-align: center;">327.622<br />
</td>
<td style="text-align: center;">36/29<br />
</td>
<td style="text-align: center;">374.333<br />
</td>
<td style="text-align: center;">29<br />
</td>
<td style="text-align: center;">29<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">14:17:21<br />
</td>
<td style="text-align: center;"><a class="wiki_link" href="/17_14">17/14</a><br />
</td>
<td style="text-align: center;">336.130<br />
</td>
<td style="text-align: center;">21/17<br />
</td>
<td style="text-align: center;">365.825<br />
</td>
<td style="text-align: center;">17<br />
</td>
<td style="text-align: center;">21<br />
</td>
<td style="text-align: center;"><a class="wiki_link" href="/17-limit">17-limit</a> supraminor<br />
</td>
</tr>
<tr>
<td style="text-align: center;">32:39:48<br />
</td>
<td style="text-align: center;"><a class="wiki_link" href="/39_32">39/32</a><br />
</td>
<td style="text-align: center;">342.483<br />
</td>
<td style="text-align: center;"><a class="wiki_link" href="/16_13">16/13</a><br />
</td>
<td style="text-align: center;">359.472<br />
</td>
<td style="text-align: center;">13<br />
</td>
<td style="text-align: center;">39<br />
</td>
<td style="text-align: center;">Rooted neutral triad<br />
</td>
</tr>
<tr>
<td style="text-align: center;">18:22:27<br />
</td>
<td style="text-align: center;"><a class="wiki_link" href="/11_9">11/9</a><br />
</td>
<td style="text-align: center;">347.408<br />
</td>
<td style="text-align: center;">27/22<br />
</td>
<td style="text-align: center;">354.547<br />
</td>
<td style="text-align: center;">11<br />
</td>
<td style="text-align: center;">27<br />
</td>
<td style="text-align: center;">Neutral<br />
</td>
</tr>
<tr>
<td style="text-align: center;">22:27:33<br />
</td>
<td style="text-align: center;">27/22<br />
</td>
<td style="text-align: center;">354.547<br />
</td>
<td style="text-align: center;">11/9<br />
</td>
<td style="text-align: center;">347.408<br />
</td>
<td style="text-align: center;">11<br />
</td>
<td style="text-align: center;">33<br />
</td>
<td style="text-align: center;">Neutral<br />
</td>
</tr>
<tr>
<td style="text-align: center;">26:32:39<br />
</td>
<td style="text-align: center;">16/13<br />
</td>
<td style="text-align: center;">359.472<br />
</td>
<td style="text-align: center;">39/32<br />
</td>
<td style="text-align: center;">342.483<br />
</td>
<td style="text-align: center;">13<br />
</td>
<td style="text-align: center;">39<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">30:37:45<br />
</td>
<td style="text-align: center;">37/30<br />
</td>
<td style="text-align: center;">363.075<br />
</td>
<td style="text-align: center;">45/37<br />
</td>
<td style="text-align: center;">338.880<br />
</td>
<td style="text-align: center;">37<br />
</td>
<td style="text-align: center;">45<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">4:5:6<br />
</td>
<td style="text-align: center;">5/4<br />
</td>
<td style="text-align: center;">386.314<br />
</td>
<td style="text-align: center;">6/5<br />
</td>
<td style="text-align: center;">315.641<br />
</td>
<td style="text-align: center;">5<br />
</td>
<td style="text-align: center;">5<br />
</td>
<td style="text-align: center;">5-limit major<br />
</td>
</tr>
<tr>
<td style="text-align: center;">30:38:45<br />
</td>
<td style="text-align: center;">19/15<br />
</td>
<td style="text-align: center;">409.244<br />
</td>
<td style="text-align: center;">45/38<br />
</td>
<td style="text-align: center;">292.711<br />
</td>
<td style="text-align: center;">19<br />
</td>
<td style="text-align: center;">45<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">26:33:39<br />
</td>
<td style="text-align: center;">33/26<br />
</td>
<td style="text-align: center;">412.745<br />
</td>
<td style="text-align: center;">13/11<br />
</td>
<td style="text-align: center;">289.210<br />
</td>
<td style="text-align: center;">13<br />
</td>
<td style="text-align: center;">33<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">22:28:33<br />
</td>
<td style="text-align: center;">14/11<br />
</td>
<td style="text-align: center;">417.508<br />
</td>
<td style="text-align: center;">33/28<br />
</td>
<td style="text-align: center;">284.447<br />
</td>
<td style="text-align: center;">11<br />
</td>
<td style="text-align: center;">33<br />
</td>
<td style="text-align: center;">Neo-Gothic major triad<br />
</td>
</tr>
<tr>
<td style="text-align: center;">94:120:141<br />
</td>
<td style="text-align: center;">60/47<br />
</td>
<td style="text-align: center;">422.762<br />
</td>
<td style="text-align: center;">47/40<br />
</td>
<td style="text-align: center;">279.193<br />
</td>
<td style="text-align: center;">47<br />
</td>
<td style="text-align: center;">141<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">18:23:27<br />
</td>
<td style="text-align: center;">23/18<br />
</td>
<td style="text-align: center;">424.364<br />
</td>
<td style="text-align: center;">27/23<br />
</td>
<td style="text-align: center;">277.591<br />
</td>
<td style="text-align: center;">23<br />
</td>
<td style="text-align: center;">27<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">32:41:48<br />
</td>
<td style="text-align: center;"><a class="wiki_link" href="/41_32">41/32</a><br />
</td>
<td style="text-align: center;">429.062<br />
</td>
<td style="text-align: center;">48/41<br />
</td>
<td style="text-align: center;">272.893<br />
</td>
<td style="text-align: center;">41<br />
</td>
<td style="text-align: center;">41<br />
</td>
<td style="text-align: center;">Rooted supermajor triad<br />
</td>
</tr>
<tr>
<td style="text-align: center;">14:18:21<br />
</td>
<td style="text-align: center;">9/7<br />
</td>
<td style="text-align: center;">435.084<br />
</td>
<td style="text-align: center;">7/6<br />
</td>
<td style="text-align: center;">266.871<br />
</td>
<td style="text-align: center;">7<br />
</td>
<td style="text-align: center;">9<br />
</td>
<td style="text-align: center;">Septimal supermajor<br />
</td>
</tr>
<tr>
<td style="text-align: center;">24:31:36<br />
</td>
<td style="text-align: center;">31/24<br />
</td>
<td style="text-align: center;">443.081<br />
</td>
<td style="text-align: center;">36/31<br />
</td>
<td style="text-align: center;">258.874<br />
</td>
<td style="text-align: center;">31<br />
</td>
<td style="text-align: center;">31<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">74:96:111<br />
</td>
<td style="text-align: center;">48/37<br />
</td>
<td style="text-align: center;">450.611<br />
</td>
<td style="text-align: center;">37/32<br />
</td>
<td style="text-align: center;">251.344<br />
</td>
<td style="text-align: center;">37<br />
</td>
<td style="text-align: center;">37<br />
</td>
<td style="text-align: center;"><span style="display: block; text-align: center;">Rooted ultramajor triad</span><br />
</td>
</tr>
<tr>
<td style="text-align: center;">10:13:15<br />
</td>
<td style="text-align: center;">13/10<br />
</td>
<td style="text-align: center;">454.214<br />
</td>
<td style="text-align: center;">15/13<br />
</td>
<td style="text-align: center;">247.741<br />
</td>
<td style="text-align: center;">13<br />
</td>
<td style="text-align: center;">15<br />
</td>
<td style="text-align: center;">"Barbados" triad<br />
</td>
</tr>
<tr>
<td style="text-align: center;">36:47:54<br />
</td>
<td style="text-align: center;">47/36<br />
</td>
<td style="text-align: center;">461.597<br />
</td>
<td style="text-align: center;">54/47<br />
</td>
<td style="text-align: center;">240.358<br />
</td>
<td style="text-align: center;">47<br />
</td>
<td style="text-align: center;">47<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">26:34:39<br />
</td>
<td style="text-align: center;"><a class="wiki_link" href="/17_13">17/13</a><br />
</td>
<td style="text-align: center;">464.428<br />
</td>
<td style="text-align: center;">39/34<br />
</td>
<td style="text-align: center;">237.527<br />
</td>
<td style="text-align: center;">17<br />
</td>
<td style="text-align: center;">39<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">16:21:24<br />
</td>
<td style="text-align: center;">21/16<br />
</td>
<td style="text-align: center;">470.781<br />
</td>
<td style="text-align: center;">8/7<br />
</td>
<td style="text-align: center;">231.174<br />
</td>
<td style="text-align: center;">7<br />
</td>
<td style="text-align: center;">21<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">22:29:33<br />
</td>
<td style="text-align: center;">29/22<br />
</td>
<td style="text-align: center;">478.259<br />
</td>
<td style="text-align: center;">33/29<br />
</td>
<td style="text-align: center;">223.696<br />
</td>
<td style="text-align: center;">29<br />
</td>
<td style="text-align: center;">29<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">28:37:42<br />
</td>
<td style="text-align: center;">37/28<br />
</td>
<td style="text-align: center;">482.518<br />
</td>
<td style="text-align: center;">42/37<br />
</td>
<td style="text-align: center;">219.437<br />
</td>
<td style="text-align: center;">37<br />
</td>
<td style="text-align: center;">37<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">34:45:51<br />
</td>
<td style="text-align: center;">45/34<br />
</td>
<td style="text-align: center;">485.268<br />
</td>
<td style="text-align: center;">17/15<br />
</td>
<td style="text-align: center;">216.687<br />
</td>
<td style="text-align: center;">17<br />
</td>
<td style="text-align: center;">51<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">6:8:9<br />
</td>
<td style="text-align: center;">4/3<br />
</td>
<td style="text-align: center;">498.045<br />
</td>
<td style="text-align: center;">9/8<br />
</td>
<td style="text-align: center;">203.910<br />
</td>
<td style="text-align: center;">3<br />
</td>
<td style="text-align: center;">9<br />
</td>
<td style="text-align: center;">Suspended 4th<br />
</td>
</tr>
<tr>
<td style="text-align: center;">38:51:57<br />
</td>
<td style="text-align: center;">51/38<br />
</td>
<td style="text-align: center;">509.397<br />
</td>
<td style="text-align: center;">19/17<br />
</td>
<td style="text-align: center;">192.558<br />
</td>
<td style="text-align: center;">19<br />
</td>
<td style="text-align: center;">57<br />
</td>
<td style="text-align: center;"><span style="display: block; text-align: center;">Quasi-meantone Suspended 4th</span><br />
</td>
</tr>
<tr>
<td style="text-align: center;">20:27:30<br />
</td>
<td style="text-align: center;">27/20<br />
</td>
<td style="text-align: center;">519.551<br />
</td>
<td style="text-align: center;">10/9<br />
</td>
<td style="text-align: center;">182.404<br />
</td>
<td style="text-align: center;">5<br />
</td>
<td style="text-align: center;">27<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;"><span style="display: block; text-align: center;">14:19:21</span><br />
</td>
<td style="text-align: center;">19/14<br />
</td>
<td style="text-align: center;">529.687<br />
</td>
<td style="text-align: center;">21/19<br />
</td>
<td style="text-align: center;">173.268<br />
</td>
<td style="text-align: center;">19<br />
</td>
<td style="text-align: center;">21<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">22:30:33<br />
</td>
<td style="text-align: center;">15/11<br />
</td>
<td style="text-align: center;">536.951<br />
</td>
<td style="text-align: center;">11/10<br />
</td>
<td style="text-align: center;">165.004<br />
</td>
<td style="text-align: center;">11<br />
</td>
<td style="text-align: center;">33<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">46:63:69<br />
</td>
<td style="text-align: center;">63/46<br />
</td>
<td style="text-align: center;">544.462<br />
</td>
<td style="text-align: center;">23/21<br />
</td>
<td style="text-align: center;">157.493<br />
</td>
<td style="text-align: center;">23<br />
</td>
<td style="text-align: center;">69<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">8:11:12<br />
</td>
<td style="text-align: center;">11/8<br />
</td>
<td style="text-align: center;">551.318<br />
</td>
<td style="text-align: center;">12/11<br />
</td>
<td style="text-align: center;">150.637<br />
</td>
<td style="text-align: center;">11<br />
</td>
<td style="text-align: center;">11<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">50:69:75<br />
</td>
<td style="text-align: center;">69/50<br />
</td>
<td style="text-align: center;">557.602<br />
</td>
<td style="text-align: center;">25/23<br />
</td>
<td style="text-align: center;">144.353<br />
</td>
<td style="text-align: center;">23<br />
</td>
<td style="text-align: center;">75<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">26:36:39<br />
</td>
<td style="text-align: center;">18/13<br />
</td>
<td style="text-align: center;">563.382<br />
</td>
<td style="text-align: center;">13/12<br />
</td>
<td style="text-align: center;">138.573<br />
</td>
<td style="text-align: center;">13<br />
</td>
<td style="text-align: center;">39<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">18:25:27<br />
</td>
<td style="text-align: center;">25/18<br />
</td>
<td style="text-align: center;">568.717<br />
</td>
<td style="text-align: center;">27/25<br />
</td>
<td style="text-align: center;">133.238<br />
</td>
<td style="text-align: center;">5<br />
</td>
<td style="text-align: center;">27<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">....................<br />
</td>
<td style="text-align: center;">.............<br />
</td>
<td style="text-align: center;">..................<br />
</td>
<td style="text-align: center;">.............<br />
</td>
<td style="text-align: center;">..................<br />
</td>
<td style="text-align: center;">.............<br />
</td>
<td style="text-align: center;">............<br />
</td>
<td style="text-align: center;">..........................................<br />
</td>
</tr>
</table>
</body></html>