1ed88c: Difference between revisions

Line 1:

<h2>IMPORTED REVISION FROM WIKISPACES</h2>

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>~~2010~~-09-~~28 16~~:23:27 UTC</tt>.

: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-04-21 15:38:24 UTC</tt>.

: The original revision id was <tt>~~166174095~~</tt>.

: The original revision id was <tt>222135770</tt>.

: The revision comment was: <tt></tt>

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Line 20:

88cET is considered a very consonant tuning, and you will find that many of its intervals fall very close to simple ratios in 7- and 11-limit just intonation. It is also extremely close to [[41edo]], which is itself extremely close to the 8th root of 3:2 (a perfect fifth divided into exactly 8 logarithmically equal steps). See chart:

||~ Degree ||~ 88cET ||~ 41edo ||~ 8th Root ||~ Some Nearby ||

||~ Degree ||~ 88cET ||~ 41edo ||~ 8th Root ||~ Andrew's solfege ||~ Some Nearby ||

||~ ||~ ||~ 3-steps ||~ of 3:2 ||~ JI Intervals ||

||~ ||~ ||~ 3-steps ||~ of 3:2 ||~ syllable ||~ JI Intervals ||

||||||||||= **//first octave//** ||

||||||||||||~ **//first octave//** ||

|| 0 || 0 || 0 || 0 || 1/1=0 ||

|| 0 || 0 || 0 || 0 || do || 1/1=0 ||

|| 1 || 88 || 87.805 || 87.744 || 22/21=80.537, 21/20=84.467, 20/19=88.801, 19/18=93.603 ||

|| 1 || 88 || 87.805 || 87.744 || rih || 22/21=80.537, 21/20=84.467, 20/19=88.801, 19/18=93.603 ||

|| 2 || 176 || 175.610 || 175.489 || [[11_10|11/10]]=165.004, 21/19=173.268, [[10_9|10/9]]=182.404 ||

|| 2 || 176 || 175.610 || 175.489 || reh || [[11_10|11/10]]=165.004, 21/19=173.268, [[10_9|10/9]]=182.404 ||

|| 3 || 264 || 263.415 || 263.233 || [[7_6|7/6]]=266.871 ||

|| 3 || 264 || 263.415 || 263.233 || ma || [[7_6|7/6]]=266.871 ||

|| 4 || 352 || 351.220 || 350.978 || [[11_9|11/9]]= 347.408, 27/22=354.547, 16/13=359.472 ||

|| 4 || 352 || 351.220 || 350.978 || mu || [[11_9|11/9]]= 347.408, 27/22=354.547, 16/13=359.472 ||

|| 5 || 440 || 439.024 || 438.722 || 32/25=427.373, [[9_7|9/7]]=435.084, 22/17 446.363 ||

|| 5 || 440 || 439.024 || 438.722 || mo || 32/25=427.373, [[9_7|9/7]]=435.084, 22/17 446.363 ||

|| 6 || 528 || 526.829 || 526.466 || 19/14=528.687, 49/36=533.742, [[15_11|15/11]]=536.95 ||

|| 6 || 528 || 526.829 || 526.466 || fih || 19/14=528.687, 49/36=533.742, [[15_11|15/11]]=536.95 ||

|| 7 || 616 || 614.634 || 614.211 || [[10_7|10/7]]=617.488 ||

|| 7 || 616 || 614.634 || 614.211 || se || [[10_7|10/7]]=617.488 ||

|| 8 || 704 || 702.439 || 701.955 || [[3_2|3/2]]=701.955 ||

|| 8 || 704 || 702.439 || 701.955 || sol || [[3_2|3/2]]=701.955 ||

|| 9 || 792 || 790.244 || 789.699 || [[11_7|11/7]]=782.492, 30/19=790.756, 128/81=792.180, 19/12=795.558, 27/17=800.910, [[8_5|8/5]]=813.686 ||

|| 9 || 792 || 790.244 || 789.699 || leh || [[11_7|11/7]]=782.492, 30/19=790.756, 128/81=792.180, 19/12=795.558, 27/17=800.910, [[8_5|8/5]]=813.686 ||

|| 10 || 880 || 878.049 || 878.444 || [[5_3|5/3]]=884.359 ||

|| 10 || 880 || 878.049 || 878.444 || la || [[5_3|5/3]]=884.359 ||

|| 11 || 968 || 965.854 || 965.188 || [[7_4|7/4]]=968.826 ||

|| 11 || 968 || 965.854 || 965.188 || ta || [[7_4|7/4]]=968.826 ||

|| 12 || 1056 || 1053.659 || 1052.933 || [[11_6|11/6]]=1049.363, 35/19=1057.627, 24/13=1061.427 ||

|| 12 || 1056 || 1053.659 || 1052.933 || tu || [[11_6|11/6]]=1049.363, 35/19=1057.627, 24/13=1061.427 ||

|| 13 || 1144 || 1141.463 || 1140.677 || 27/14=1137.039, 31/16=1145.036 ||

|| 13 || 1144 || 1141.463 || 1140.677 || to || 27/14=1137.039, 31/16=1145.036 ||

||||||||||= **//second octave//** ||

||||||||||||~ **//second octave//** ||

|| 14 || 32 || 29.268 || 28.421 || 65/64=26.841, 64/63=27.264, 63/62=27.700, 58/57=30.109 ||

|| 14 || 32 || 29.268 || 28.421 || di || 65/64=26.841, 64/63=27.264, 63/62=27.700, 58/57=30.109 ||

|| 15 || 120 || 117.073 || 116.166 || 16/15=111.731, 15/14=119.443, 14/13=128.298 ||

|| 15 || 120 || 117.073 || 116.166 || ra || 16/15=111.731, 15/14=119.443, 14/13=128.298 ||

|| 16 || 208 || 204.878 || 203.910 || 9/8=203.910 ||

|| 16 || 208 || 204.878 || 203.910 || re || 9/8=203.910 ||

|| 17 || 296 || 292.683 || 291.654 || 13/11=289.210, 32/27=294.135, 19/16=297.513 ||

|| 17 || 296 || 292.683 || 291.654 || meh || 13/11=289.210, 32/27=294.135, 19/16=297.513 ||

|| 18 || 384 || 380.488 || 379.399 || 5/4=386.314 ||

|| 18 || 384 || 380.488 || 379.399 || mi || 5/4=386.314 ||

|| 19 || 472 || 468.293 || 467.143 || 17/13=464.428, 21/16=470.781 ||

|| 19 || 472 || 468.293 || 467.143 || fe || 17/13=464.428, 21/16=470.781 ||

|| 20 || 560 || 556.098 || 554.888 || 11/8=551.318, 18/13=563.382 ||

|| 20 || 560 || 556.098 || 554.888 || fu || 11/8=551.318, 18/13=563.382 ||

|| 21 || 648 || 643.902 || 642.632 || 16/11=648.682 ||

|| 21 || 648 || 643.902 || 642.632 || su || 16/11=648.682 ||

|| 22 || 736 || 731.707 || 730.376 || 32/21=729.219, 26/17=735.572, 49/32=737.652 ||

|| 22 || 736 || 731.707 || 730.376 || si || 32/21=729.219, 26/17=735.572, 49/32=737.652 ||

|| 23 || 824 || 819.512 || 818.121 || 8/5=813.686, 45/28=821.398, 21/13=830.253 ||

|| 23 || 824 || 819.512 || 818.121 || le || 8/5=813.686, 45/28=821.398, 21/13=830.253 ||

|| 24 || 912 || 907.317 || 905.865 || 42/25=898.153, 32/19=902.487, 27/16=905.865, 22/13=910.790, 17/10=918.642 ||

|| 24 || 912 || 907.317 || 905.865 || laa || 42/25=898.153, 32/19=902.487, 27/16=905.865, 22/13=910.790, 17/10=918.642 ||

|| 25 || 1000 || 995.122 || 993.609 || 39/22=991.165, 16/9=996.090, 25/14=1003.802, 34/19=1007.442 ||

|| 25 || 1000 || 995.122 || 993.609 || teh || 39/22=991.165, 16/9=996.090, 25/14=1003.802, 34/19=1007.442 ||

|| 26 || 1088 || 1082.927 || 1081.354 || 28/15=1080.557, 15/8=1088.269 ||

|| 26 || 1088 || 1082.927 || 1081.354 || ti || 28/15=1080.557, 15/8=1088.269 ||

|| 27 || 1176 || 1170.732 || 1169.098 || 63/32=1172.736, 160/81=1178.494 ||

|| 27 || 1176 || 1170.732 || 1169.098 || da || 63/32=1172.736, 160/81=1178.494 ||

||||||||||= **//third octave//** ||

||||||||||||~ **//third octave//** ||

|| 28 || 64 || 58.537 || 56.843 || 33/3253.273, 28/27=62.961, 80/77=66.170, 27/26=65.337 ||

|| 28 || 64 || 58.537 || 56.843 || ro || 33/3253.273, 28/27=62.961, 80/77=66.170, 27/26=65.337 ||

|| 29 || 152 || 146.341 || 144.587 || 49/45=147.428, 12/11=150.637, 35/32=155.140 ||

|| 29 || 152 || 146.341 || 144.587 || ru || 49/45=147.428, 12/11=150.637, 35/32=155.140 ||

|| 30 || 240 || 234.146 || 232.331 || 8/7=231.174, 23/20=241.961, 15/13=247.741 ||

|| 30 || 240 || 234.146 || 232.331 || ri || 8/7=231.174, 23/20=241.961, 15/13=247.741 ||

|| 31 || 328 || 321.951 || 320.076 || 6/5=315.641, 23/19=330.761 ||

|| 31 || 328 || 321.951 || 320.076 || me || 6/5=315.641, 23/19=330.761 ||

|| 32 || 416 || 409.756 || 407.820 || 81/64=407.820, 33/26=412.745, 14/11=417.508 ||

|| 32 || 416 || 409.756 || 407.820 || maa || 81/64=407.820, 33/26=412.745, 14/11=417.508 ||

|| 33 || 504 || 497.561 || 495.564 || 85/64=491.269, 4/3=498.045, 75/56=505.757 ||

|| 33 || 504 || 497.561 || 495.564 || fa || 85/64=491.269, 4/3=498.045, 75/56=505.757 ||

|| 34 || 592 || 585.366 || 583.309 || 7/5=582.512, 45/32=590.224, 38/27=591.648 ||

|| 34 || 592 || 585.366 || 583.309 || fi || 7/5=582.512, 45/32=590.224, 38/27=591.648 ||

|| 35 || 680 || 673.171 || 671.053 || 28/19=671.313, 40/27=680.449 ||

|| 35 || 680 || 673.171 || 671.053 || sih || 28/19=671.313, 40/27=680.449 ||

|| 36 || 768 || 760.976 || 758.798 || 17/11=753.637, 99/64=755.228, 14/9=764.916, 39/25=769.855, 25/16=772.627 ||

|| 36 || 768 || 760.976 || 758.798 || lo || 17/11=753.637, 99/64=755.228, 14/9=764.916, 39/25=769.855, 25/16=772.627 ||

|| 37 || 856 || 848.780 || 846.542 || 13/8=840.528, 18/11=852.592 ||

|| 37 || 856 || 848.780 || 846.542 || lu || 13/8=840.528, 18/11=852.592 ||

|| 38 || 944 || 936.585 || 934.286 || 12/7=933.129, 19/11=946.195 ||

|| 38 || 944 || 936.585 || 934.286 || li || 12/7=933.129, 19/11=946.195 ||

|| 39 || 1032 || 1024.390 || 1022.031 || 9/5=1017.596, 49/27=1031.787, 20/11=1034.996 ||

|| 39 || 1032 || 1024.390 || 1022.031 || te || 9/5=1017.596, 49/27=1031.787, 20/11=1034.996 ||

|| 40 || 1120 || 1112.195 || 1109.775 || 36/19=1106.397, 243/128=1109.775, 19/10=1111.199, 21/11=1119.463 ||

|| 40 || 1120 || 1112.195 || 1109.775 || taa || 36/19=1106.397, 243/128=1109.775, 19/10=1111.199, 21/11=1119.463 ||

||||||||||= **//fourth octave//** (near match) ||

||||||||||||~ **//fourth octave//** (near match) ||

|| 41 || 8 || 0 || 1197.59 || 1/1=0, 2/1=1200 ||

|| 41 || 8 || 0 || 1197.59 || do || 1/1=0, 2/1=1200 ||

==Compositions==

Line 100:

</th>

<th>8th Root

</th>

<th>Andrew's solfege

</th>

<th>Some Nearby

Line 112:

Line 114:

</th>

<th>of 3:2

</th>

<th>syllable

</th>

<th>JI Intervals

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Line 121:

</tr>

<tr>

<td colspan="~~5" style="text-align: center;~~">first octave

<th colspan="6">first octave

</td>

</th>

</tr>

<tr>

Line 128:

Line 132:

</td>

<td>0

</td>

<td>do

</td>

<td>1/1=0

Line 140:

Line 146:

</td>

<td>87.744

</td>

<td>rih

</td>

<td>22/21=80.537, 21/20=84.467, 20/19=88.801, 19/18=93.603

Line 152:

Line 160:

</td>

<td>175.489

</td>

<td>reh

</td>

<td><a class="wiki_link" href="/11_10">11/10</a>=165.004, 21/19=173.268, <a class="wiki_link" href="/10_9">10/9</a>=182.404

Line 164:

Line 174:

</td>

<td>263.233

</td>

<td>ma

</td>

<td><a class="wiki_link" href="/7_6">7/6</a>=266.871

Line 176:

Line 188:

</td>

<td>350.978

</td>

<td>mu

</td>

<td><a class="wiki_link" href="/11_9">11/9</a>= 347.408, 27/22=354.547, 16/13=359.472

Line 188:

Line 202:

</td>

<td>438.722

</td>

<td>mo

</td>

<td>32/25=427.373, <a class="wiki_link" href="/9_7">9/7</a>=435.084, 22/17 446.363

Line 200:

Line 216:

</td>

<td>526.466

</td>

<td>fih

</td>

<td>19/14=528.687, 49/36=533.742, <a class="wiki_link" href="/15_11">15/11</a>=536.95

Line 212:

Line 230:

</td>

<td>614.211

</td>

<td>se

</td>

<td><a class="wiki_link" href="/10_7">10/7</a>=617.488

Line 224:

Line 244:

</td>

<td>701.955

</td>

<td>sol

</td>

<td><a class="wiki_link" href="/3_2">3/2</a>=701.955

Line 236:

Line 258:

</td>

<td>789.699

</td>

<td>leh

</td>

<td><a class="wiki_link" href="/11_7">11/7</a>=782.492, 30/19=790.756, 128/81=792.180, 19/12=795.558, 27/17=800.910, <a class="wiki_link" href="/8_5">8/5</a>=813.686

Line 248:

Line 272:

</td>

<td>878.444

</td>

<td>la

</td>

<td><a class="wiki_link" href="/5_3">5/3</a>=884.359

Line 260:

Line 286:

</td>

<td>965.188

</td>

<td>ta

</td>

<td><a class="wiki_link" href="/7_4">7/4</a>=968.826

Line 272:

Line 300:

</td>

<td>1052.933

</td>

<td>tu

</td>

<td><a class="wiki_link" href="/11_6">11/6</a>=1049.363, 35/19=1057.627, 24/13=1061.427

Line 284:

Line 314:

</td>

<td>1140.677

</td>

<td>to

</td>

<td>27/14=1137.039, 31/16=1145.036

Line 289:

Line 321:

</tr>

<tr>

<td colspan="~~5" style="text-align: center;~~">second octave

<th colspan="6">second octave

</td>

</th>

</tr>

<tr>

Line 300:

Line 332:

</td>

<td>28.421

</td>

<td>di

</td>

<td>65/64=26.841, 64/63=27.264, 63/62=27.700, 58/57=30.109

Line 312:

Line 346:

</td>

<td>116.166

</td>

<td>ra

</td>

<td>16/15=111.731, 15/14=119.443, 14/13=128.298

Line 324:

Line 360:

</td>

<td>203.910

</td>

<td>re

</td>

<td>9/8=203.910

Line 336:

Line 374:

</td>

<td>291.654

</td>

<td>meh

</td>

<td>13/11=289.210, 32/27=294.135, 19/16=297.513

Line 348:

Line 388:

</td>

<td>379.399

</td>

<td>mi

</td>

<td>5/4=386.314

Line 360:

Line 402:

</td>

<td>467.143

</td>

<td>fe

</td>

<td>17/13=464.428, 21/16=470.781

Line 372:

Line 416:

</td>

<td>554.888

</td>

<td>fu

</td>

<td>11/8=551.318, 18/13=563.382

Line 384:

Line 430:

</td>

<td>642.632

</td>

<td>su

</td>

<td>16/11=648.682

Line 396:

Line 444:

</td>

<td>730.376

</td>

<td>si

</td>

<td>32/21=729.219, 26/17=735.572, 49/32=737.652

Line 408:

Line 458:

</td>

<td>818.121

</td>

<td>le

</td>

<td>8/5=813.686, 45/28=821.398, 21/13=830.253

Line 420:

Line 472:

</td>

<td>905.865

</td>

<td>laa

</td>

<td>42/25=898.153, 32/19=902.487, 27/16=905.865, 22/13=910.790, 17/10=918.642

Line 432:

Line 486:

</td>

<td>993.609

</td>

<td>teh

</td>

<td>39/22=991.165, 16/9=996.090, 25/14=1003.802, 34/19=1007.442

Line 444:

Line 500:

</td>

<td>1081.354

</td>

<td>ti

</td>

<td>28/15=1080.557, 15/8=1088.269

Line 456:

Line 514:

</td>

<td>1169.098

</td>

<td>da

</td>

<td>63/32=1172.736, 160/81=1178.494

Line 461:

Line 521:

</tr>

<tr>

<td colspan="~~5" style="text-align: center;~~">third octave

<th colspan="6">third octave

</td>

</th>

</tr>

<tr>

Line 472:

Line 532:

</td>

<td>56.843

</td>

<td>ro

</td>

<td>33/3253.273, 28/27=62.961, 80/77=66.170, 27/26=65.337

Line 484:

Line 546:

</td>

<td>144.587

</td>

<td>ru

</td>

<td>49/45=147.428, 12/11=150.637, 35/32=155.140

Line 496:

Line 560:

</td>

<td>232.331

</td>

<td>ri

</td>

<td>8/7=231.174, 23/20=241.961, 15/13=247.741

Line 508:

Line 574:

</td>

<td>320.076

</td>

<td>me

</td>

<td>6/5=315.641, 23/19=330.761

Line 520:

Line 588:

</td>

<td>407.820

</td>

<td>maa

</td>

<td>81/64=407.820, 33/26=412.745, 14/11=417.508

Line 532:

Line 602:

</td>

<td>495.564

</td>

<td>fa

</td>

<td>85/64=491.269, 4/3=498.045, 75/56=505.757

Line 544:

Line 616:

</td>

<td>583.309

</td>

<td>fi

</td>

<td>7/5=582.512, 45/32=590.224, 38/27=591.648

Line 556:

Line 630:

</td>

<td>671.053

</td>

<td>sih

</td>

<td>28/19=671.313, 40/27=680.449

Line 568:

Line 644:

</td>

<td>758.798

</td>

<td>lo

</td>

<td>17/11=753.637, 99/64=755.228, 14/9=764.916, 39/25=769.855, 25/16=772.627

Line 580:

Line 658:

</td>

<td>846.542

</td>

<td>lu

</td>

<td>13/8=840.528, 18/11=852.592

Line 592:

Line 672:

</td>

<td>934.286

</td>

<td>li

</td>

<td>12/7=933.129, 19/11=946.195

Line 604:

Line 686:

</td>

<td>1022.031

</td>

<td>te

</td>

<td>9/5=1017.596, 49/27=1031.787, 20/11=1034.996

Line 616:

Line 700:

</td>

<td>1109.775

</td>

<td>taa

</td>

<td>36/19=1106.397, 243/128=1109.775, 19/10=1111.199, 21/11=1119.463

Line 621:

Line 707:

</tr>

<tr>

<td colspan="~~5" style="text-align: center;~~">fourth octave (near match)

<th colspan="6">fourth octave (near match)

</td>

</th>

</tr>

<tr>

Line 632:

Line 718:

</td>

<td>1197.59

</td>

<td>do

</td>

<td>1/1=0, 2/1=1200

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2010-09-28 16:23:27 UTC</tt>.<br>
+: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-04-21 15:38:24 UTC</tt>.<br>
-: The original revision id was <tt>166174095</tt>.<br>
+: The original revision id was <tt>222135770</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>
@@ Line 20: / Line 20: @@
 cET is considered a very consonant tuning, and you will find that many of its intervals fall very close to simple ratios in 7- and 11-limit just intonation. It is also extremely close to [[41edo]], which is itself extremely close to the 8th root of 3:2 (a perfect fifth divided into exactly 8 logarithmically equal steps). See chart:
-||~ Degree ||~ 88cET ||~ 41edo ||~ 8th Root ||~ Some Nearby ||
+||~ Degree ||~ 88cET ||~ 41edo ||~ 8th Root ||~ Andrew's solfege ||~ Some Nearby ||
-||~   ||~   ||~ 3-steps ||~ of 3:2 ||~ JI Intervals ||
+||~   ||~   ||~ 3-steps ||~ of 3:2 ||~ syllable ||~ JI Intervals ||
-||||||||||= **//first octave//** ||
+||||||||||||~ **//first octave//** ||
-|| 0 || 0 || 0 || 0 || 1/1=0 ||
+|| 0 || 0 || 0 || 0 || do || 1/1=0 ||
-|| 1 || 88 || 87.805 || 87.744 || 22/21=80.537, 21/20=84.467, 20/19=88.801, 19/18=93.603 ||
+|| 1 || 88 || 87.805 || 87.744 || rih || 22/21=80.537, 21/20=84.467, 20/19=88.801, 19/18=93.603 ||
-|| 2 || 176 || 175.610 || 175.489 || [[11_10|11/10]]=165.004, 21/19=173.268, [[10_9|10/9]]=182.404 ||
+|| 2 || 176 || 175.610 || 175.489 || reh || [[11_10|11/10]]=165.004, 21/19=173.268, [[10_9|10/9]]=182.404 ||
-|| 3 || 264 || 263.415 || 263.233 || [[7_6|7/6]]=266.871 ||
+|| 3 || 264 || 263.415 || 263.233 || ma || [[7_6|7/6]]=266.871 ||
-|| 4 || 352 || 351.220 || 350.978 || [[11_9|11/9]]= 347.408, 27/22=354.547, 16/13=359.472 ||
+|| 4 || 352 || 351.220 || 350.978 || mu || [[11_9|11/9]]= 347.408, 27/22=354.547, 16/13=359.472 ||
-|| 5 || 440 || 439.024 || 438.722 || 32/25=427.373, [[9_7|9/7]]=435.084, 22/17 446.363 ||
+|| 5 || 440 || 439.024 || 438.722 || mo || 32/25=427.373, [[9_7|9/7]]=435.084, 22/17 446.363 ||
-|| 6 || 528 || 526.829 || 526.466 || 19/14=528.687, 49/36=533.742, [[15_11|15/11]]=536.95 ||
+|| 6 || 528 || 526.829 || 526.466 || fih || 19/14=528.687, 49/36=533.742, [[15_11|15/11]]=536.95 ||
-|| 7 || 616 || 614.634 || 614.211 || [[10_7|10/7]]=617.488 ||
+|| 7 || 616 || 614.634 || 614.211 || se || [[10_7|10/7]]=617.488 ||
-|| 8 || 704 || 702.439 || 701.955 || [[3_2|3/2]]=701.955 ||
+|| 8 || 704 || 702.439 || 701.955 || sol || [[3_2|3/2]]=701.955 ||
-|| 9 || 792 || 790.244 || 789.699 || [[11_7|11/7]]=782.492, 30/19=790.756, 128/81=792.180, 19/12=795.558, 27/17=800.910, [[8_5|8/5]]=813.686 ||
+|| 9 || 792 || 790.244 || 789.699 || leh || [[11_7|11/7]]=782.492, 30/19=790.756, 128/81=792.180, 19/12=795.558, 27/17=800.910, [[8_5|8/5]]=813.686 ||
-|| 10 || 880 || 878.049 || 878.444 || [[5_3|5/3]]=884.359 ||
+|| 10 || 880 || 878.049 || 878.444 || la || [[5_3|5/3]]=884.359 ||
-|| 11 || 968 || 965.854 || 965.188 || [[7_4|7/4]]=968.826 ||
+|| 11 || 968 || 965.854 || 965.188 || ta || [[7_4|7/4]]=968.826 ||
-|| 12 || 1056 || 1053.659 || 1052.933 || [[11_6|11/6]]=1049.363, 35/19=1057.627, 24/13=1061.427 ||
+|| 12 || 1056 || 1053.659 || 1052.933 || tu || [[11_6|11/6]]=1049.363, 35/19=1057.627, 24/13=1061.427 ||
-|| 13 || 1144 || 1141.463 || 1140.677 || 27/14=1137.039, 31/16=1145.036 ||
+|| 13 || 1144 || 1141.463 || 1140.677 || to || 27/14=1137.039, 31/16=1145.036 ||
-||||||||||= **//second octave//** ||
+||||||||||||~ **//second octave//** ||
-|| 14 || 32 || 29.268 || 28.421 || 65/64=26.841, 64/63=27.264, 63/62=27.700, 58/57=30.109 ||
+|| 14 || 32 || 29.268 || 28.421 || di || 65/64=26.841, 64/63=27.264, 63/62=27.700, 58/57=30.109 ||
-|| 15 || 120 || 117.073 || 116.166 || 16/15=111.731, 15/14=119.443, 14/13=128.298 ||
+|| 15 || 120 || 117.073 || 116.166 || ra || 16/15=111.731, 15/14=119.443, 14/13=128.298 ||
-|| 16 || 208 || 204.878 || 203.910 || 9/8=203.910 ||
+|| 16 || 208 || 204.878 || 203.910 || re || 9/8=203.910 ||
-|| 17 || 296 || 292.683 || 291.654 || 13/11=289.210, 32/27=294.135, 19/16=297.513 ||
+|| 17 || 296 || 292.683 || 291.654 || meh || 13/11=289.210, 32/27=294.135, 19/16=297.513 ||
-|| 18 || 384 || 380.488 || 379.399 || 5/4=386.314 ||
+|| 18 || 384 || 380.488 || 379.399 || mi || 5/4=386.314 ||
-|| 19 || 472 || 468.293 || 467.143 || 17/13=464.428, 21/16=470.781 ||
+|| 19 || 472 || 468.293 || 467.143 || fe || 17/13=464.428, 21/16=470.781 ||
-|| 20 || 560 || 556.098 || 554.888 || 11/8=551.318, 18/13=563.382 ||
+|| 20 || 560 || 556.098 || 554.888 || fu || 11/8=551.318, 18/13=563.382 ||
-|| 21 || 648 || 643.902 || 642.632 || 16/11=648.682 ||
+|| 21 || 648 || 643.902 || 642.632 || su || 16/11=648.682 ||
-|| 22 || 736 || 731.707 || 730.376 || 32/21=729.219, 26/17=735.572, 49/32=737.652 ||
+|| 22 || 736 || 731.707 || 730.376 || si || 32/21=729.219, 26/17=735.572, 49/32=737.652 ||
-|| 23 || 824 || 819.512 || 818.121 || 8/5=813.686, 45/28=821.398, 21/13=830.253 ||
+|| 23 || 824 || 819.512 || 818.121 || le || 8/5=813.686, 45/28=821.398, 21/13=830.253 ||
-|| 24 || 912 || 907.317 || 905.865 || 42/25=898.153, 32/19=902.487, 27/16=905.865, 22/13=910.790, 17/10=918.642 ||
+|| 24 || 912 || 907.317 || 905.865 || laa || 42/25=898.153, 32/19=902.487, 27/16=905.865, 22/13=910.790, 17/10=918.642 ||
-|| 25 || 1000 || 995.122 || 993.609 || 39/22=991.165, 16/9=996.090, 25/14=1003.802, 34/19=1007.442 ||
+|| 25 || 1000 || 995.122 || 993.609 || teh || 39/22=991.165, 16/9=996.090, 25/14=1003.802, 34/19=1007.442 ||
-|| 26 || 1088 || 1082.927 || 1081.354 || 28/15=1080.557, 15/8=1088.269 ||
+|| 26 || 1088 || 1082.927 || 1081.354 || ti || 28/15=1080.557, 15/8=1088.269 ||
-|| 27 || 1176 || 1170.732 || 1169.098 || 63/32=1172.736, 160/81=1178.494 ||
+|| 27 || 1176 || 1170.732 || 1169.098 || da || 63/32=1172.736, 160/81=1178.494 ||
-||||||||||= **//third octave//** ||
+||||||||||||~ **//third octave//** ||
-|| 28 || 64 || 58.537 || 56.843 || 33/3253.273, 28/27=62.961, 80/77=66.170, 27/26=65.337 ||
+|| 28 || 64 || 58.537 || 56.843 || ro || 33/3253.273, 28/27=62.961, 80/77=66.170, 27/26=65.337 ||
-|| 29 || 152 || 146.341 || 144.587 || 49/45=147.428, 12/11=150.637, 35/32=155.140 ||
+|| 29 || 152 || 146.341 || 144.587 || ru || 49/45=147.428, 12/11=150.637, 35/32=155.140 ||
-|| 30 || 240 || 234.146 || 232.331 || 8/7=231.174, 23/20=241.961, 15/13=247.741 ||
+|| 30 || 240 || 234.146 || 232.331 || ri || 8/7=231.174, 23/20=241.961, 15/13=247.741 ||
-|| 31 || 328 || 321.951 || 320.076 || 6/5=315.641, 23/19=330.761 ||
+|| 31 || 328 || 321.951 || 320.076 || me || 6/5=315.641, 23/19=330.761 ||
-|| 32 || 416 || 409.756 || 407.820 || 81/64=407.820, 33/26=412.745, 14/11=417.508 ||
+|| 32 || 416 || 409.756 || 407.820 || maa || 81/64=407.820, 33/26=412.745, 14/11=417.508 ||
-|| 33 || 504 || 497.561 || 495.564 || 85/64=491.269, 4/3=498.045, 75/56=505.757 ||
+|| 33 || 504 || 497.561 || 495.564 || fa || 85/64=491.269, 4/3=498.045, 75/56=505.757 ||
-|| 34 || 592 || 585.366 || 583.309 || 7/5=582.512, 45/32=590.224, 38/27=591.648 ||
+|| 34 || 592 || 585.366 || 583.309 || fi || 7/5=582.512, 45/32=590.224, 38/27=591.648 ||
-|| 35 || 680 || 673.171 || 671.053 || 28/19=671.313, 40/27=680.449 ||
+|| 35 || 680 || 673.171 || 671.053 || sih || 28/19=671.313, 40/27=680.449 ||
-|| 36 || 768 || 760.976 || 758.798 || 17/11=753.637, 99/64=755.228, 14/9=764.916, 39/25=769.855, 25/16=772.627 ||
+|| 36 || 768 || 760.976 || 758.798 || lo || 17/11=753.637, 99/64=755.228, 14/9=764.916, 39/25=769.855, 25/16=772.627 ||
-|| 37 || 856 || 848.780 || 846.542 || 13/8=840.528, 18/11=852.592 ||
+|| 37 || 856 || 848.780 || 846.542 || lu || 13/8=840.528, 18/11=852.592 ||
-|| 38 || 944 || 936.585 || 934.286 || 12/7=933.129, 19/11=946.195 ||
+|| 38 || 944 || 936.585 || 934.286 || li || 12/7=933.129, 19/11=946.195 ||
-|| 39 || 1032 || 1024.390 || 1022.031 || 9/5=1017.596, 49/27=1031.787, 20/11=1034.996 ||
+|| 39 || 1032 || 1024.390 || 1022.031 || te || 9/5=1017.596, 49/27=1031.787, 20/11=1034.996 ||
-|| 40 || 1120 || 1112.195 || 1109.775 || 36/19=1106.397, 243/128=1109.775, 19/10=1111.199, 21/11=1119.463 ||
+|| 40 || 1120 || 1112.195 || 1109.775 || taa || 36/19=1106.397, 243/128=1109.775, 19/10=1111.199, 21/11=1119.463 ||
-||||||||||= **//fourth octave//** (near match) ||
+||||||||||||~ **//fourth octave//** (near match) ||
-|| 41 || 8 || 0 || 1197.59 || 1/1=0, 2/1=1200 ||
+|| 41 || 8 || 0 || 1197.59 || do || 1/1=0, 2/1=1200 ||
 ==Compositions==
@@ Line 100: / Line 100: @@
 &lt;/th&gt;
          &lt;th&gt;8th Root&lt;br /&gt;
+&lt;/th&gt;
+        &lt;th&gt;Andrew's solfege&lt;br /&gt;
 &lt;/th&gt;
          &lt;th&gt;Some Nearby&lt;br /&gt;
@@ Line 112: / Line 114: @@
 &lt;/th&gt;
          &lt;th&gt;of 3:2&lt;br /&gt;
+&lt;/th&gt;
+        &lt;th&gt;syllable&lt;br /&gt;
 &lt;/th&gt;
          &lt;th&gt;JI Intervals&lt;br /&gt;
@@ Line 117: / Line 121: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td colspan="5" style="text-align: center;"&gt;&lt;strong&gt;&lt;em&gt;first octave&lt;/em&gt;&lt;/strong&gt;&lt;br /&gt;
+         &lt;th colspan="6"&gt;&lt;strong&gt;&lt;em&gt;first octave&lt;/em&gt;&lt;/strong&gt;&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
@@ Line 128: / Line 132: @@
 &lt;/td&gt;
          &lt;td&gt;0&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;do&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;1/1=0&lt;br /&gt;
@@ Line 140: / Line 146: @@
 &lt;/td&gt;
          &lt;td&gt;87.744&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;rih&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;22/21=80.537, 21/20=84.467, 20/19=88.801, 19/18=93.603&lt;br /&gt;
@@ Line 152: / Line 160: @@
 &lt;/td&gt;
          &lt;td&gt;175.489&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;reh&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;a class="wiki_link" href="/11_10"&gt;11/10&lt;/a&gt;=165.004, 21/19=173.268, &lt;a class="wiki_link" href="/10_9"&gt;10/9&lt;/a&gt;=182.404&lt;br /&gt;
@@ Line 164: / Line 174: @@
 &lt;/td&gt;
          &lt;td&gt;263.233&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;ma&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;a class="wiki_link" href="/7_6"&gt;7/6&lt;/a&gt;=266.871&lt;br /&gt;
@@ Line 176: / Line 188: @@
 &lt;/td&gt;
          &lt;td&gt;350.978&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;mu&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;a class="wiki_link" href="/11_9"&gt;11/9&lt;/a&gt;= 347.408, 27/22=354.547, 16/13=359.472&lt;br /&gt;
@@ Line 188: / Line 202: @@
 &lt;/td&gt;
          &lt;td&gt;438.722&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;mo&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;32/25=427.373, &lt;a class="wiki_link" href="/9_7"&gt;9/7&lt;/a&gt;=435.084, 22/17 446.363&lt;br /&gt;
@@ Line 200: / Line 216: @@
 &lt;/td&gt;
          &lt;td&gt;526.466&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;fih&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;19/14=528.687, 49/36=533.742, &lt;a class="wiki_link" href="/15_11"&gt;15/11&lt;/a&gt;=536.95&lt;br /&gt;
@@ Line 212: / Line 230: @@
 &lt;/td&gt;
          &lt;td&gt;614.211&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;se&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;a class="wiki_link" href="/10_7"&gt;10/7&lt;/a&gt;=617.488&lt;br /&gt;
@@ Line 224: / Line 244: @@
 &lt;/td&gt;
          &lt;td&gt;701.955&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;sol&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt;=701.955&lt;br /&gt;
@@ Line 236: / Line 258: @@
 &lt;/td&gt;
          &lt;td&gt;789.699&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;leh&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;a class="wiki_link" href="/11_7"&gt;11/7&lt;/a&gt;=782.492, 30/19=790.756, 128/81=792.180, 19/12=795.558, 27/17=800.910, &lt;a class="wiki_link" href="/8_5"&gt;8/5&lt;/a&gt;=813.686&lt;br /&gt;
@@ Line 248: / Line 272: @@
 &lt;/td&gt;
          &lt;td&gt;878.444&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;la&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;a class="wiki_link" href="/5_3"&gt;5/3&lt;/a&gt;=884.359&lt;br /&gt;
@@ Line 260: / Line 286: @@
 &lt;/td&gt;
          &lt;td&gt;965.188&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;ta&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;a class="wiki_link" href="/7_4"&gt;7/4&lt;/a&gt;=968.826&lt;br /&gt;
@@ Line 272: / Line 300: @@
 &lt;/td&gt;
          &lt;td&gt;1052.933&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;tu&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;a class="wiki_link" href="/11_6"&gt;11/6&lt;/a&gt;=1049.363, 35/19=1057.627, 24/13=1061.427&lt;br /&gt;
@@ Line 284: / Line 314: @@
 &lt;/td&gt;
          &lt;td&gt;1140.677&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;to&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;27/14=1137.039, 31/16=1145.036&lt;br /&gt;
@@ Line 289: / Line 321: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td colspan="5" style="text-align: center;"&gt;&lt;strong&gt;&lt;em&gt;second octave&lt;/em&gt;&lt;/strong&gt;&lt;br /&gt;
+         &lt;th colspan="6"&gt;&lt;strong&gt;&lt;em&gt;second octave&lt;/em&gt;&lt;/strong&gt;&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
@@ Line 300: / Line 332: @@
 &lt;/td&gt;
          &lt;td&gt;28.421&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;di&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;65/64=26.841, 64/63=27.264, 63/62=27.700, 58/57=30.109&lt;br /&gt;
@@ Line 312: / Line 346: @@
 &lt;/td&gt;
          &lt;td&gt;116.166&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;ra&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;16/15=111.731, 15/14=119.443, 14/13=128.298&lt;br /&gt;
@@ Line 324: / Line 360: @@
 &lt;/td&gt;
          &lt;td&gt;203.910&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;re&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;9/8=203.910&lt;br /&gt;
@@ Line 336: / Line 374: @@
 &lt;/td&gt;
          &lt;td&gt;291.654&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;meh&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;13/11=289.210, 32/27=294.135, 19/16=297.513&lt;br /&gt;
@@ Line 348: / Line 388: @@
 &lt;/td&gt;
          &lt;td&gt;379.399&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;mi&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;5/4=386.314&lt;br /&gt;
@@ Line 360: / Line 402: @@
 &lt;/td&gt;
          &lt;td&gt;467.143&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;fe&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;17/13=464.428, 21/16=470.781&lt;br /&gt;
@@ Line 372: / Line 416: @@
 &lt;/td&gt;
          &lt;td&gt;554.888&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;fu&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;11/8=551.318, 18/13=563.382&lt;br /&gt;
@@ Line 384: / Line 430: @@
 &lt;/td&gt;
          &lt;td&gt;642.632&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;su&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;16/11=648.682&lt;br /&gt;
@@ Line 396: / Line 444: @@
 &lt;/td&gt;
          &lt;td&gt;730.376&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;si&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;32/21=729.219, 26/17=735.572, 49/32=737.652&lt;br /&gt;
@@ Line 408: / Line 458: @@
 &lt;/td&gt;
          &lt;td&gt;818.121&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;le&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;8/5=813.686, 45/28=821.398, 21/13=830.253&lt;br /&gt;
@@ Line 420: / Line 472: @@
 &lt;/td&gt;
          &lt;td&gt;905.865&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;laa&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;42/25=898.153, 32/19=902.487, 27/16=905.865, 22/13=910.790, 17/10=918.642&lt;br /&gt;
@@ Line 432: / Line 486: @@
 &lt;/td&gt;
          &lt;td&gt;993.609&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;teh&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;39/22=991.165, 16/9=996.090, 25/14=1003.802, 34/19=1007.442&lt;br /&gt;
@@ Line 444: / Line 500: @@
 &lt;/td&gt;
          &lt;td&gt;1081.354&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;ti&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;28/15=1080.557, 15/8=1088.269&lt;br /&gt;
@@ Line 456: / Line 514: @@
 &lt;/td&gt;
          &lt;td&gt;1169.098&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;da&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;63/32=1172.736, 160/81=1178.494&lt;br /&gt;
@@ Line 461: / Line 521: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td colspan="5" style="text-align: center;"&gt;&lt;strong&gt;&lt;em&gt;third octave&lt;/em&gt;&lt;/strong&gt;&lt;br /&gt;
+         &lt;th colspan="6"&gt;&lt;strong&gt;&lt;em&gt;third octave&lt;/em&gt;&lt;/strong&gt;&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
@@ Line 472: / Line 532: @@
 &lt;/td&gt;
          &lt;td&gt;56.843&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;ro&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;33/3253.273, 28/27=62.961, 80/77=66.170, 27/26=65.337&lt;br /&gt;
@@ Line 484: / Line 546: @@
 &lt;/td&gt;
          &lt;td&gt;144.587&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;ru&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;49/45=147.428, 12/11=150.637, 35/32=155.140&lt;br /&gt;
@@ Line 496: / Line 560: @@
 &lt;/td&gt;
          &lt;td&gt;232.331&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;ri&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;8/7=231.174, 23/20=241.961, 15/13=247.741&lt;br /&gt;
@@ Line 508: / Line 574: @@
 &lt;/td&gt;
          &lt;td&gt;320.076&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;me&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;6/5=315.641, 23/19=330.761&lt;br /&gt;
@@ Line 520: / Line 588: @@
 &lt;/td&gt;
          &lt;td&gt;407.820&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;maa&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;81/64=407.820, 33/26=412.745, 14/11=417.508&lt;br /&gt;
@@ Line 532: / Line 602: @@
 &lt;/td&gt;
          &lt;td&gt;495.564&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;fa&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;85/64=491.269, 4/3=498.045, 75/56=505.757&lt;br /&gt;
@@ Line 544: / Line 616: @@
 &lt;/td&gt;
          &lt;td&gt;583.309&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;fi&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;7/5=582.512, 45/32=590.224, 38/27=591.648&lt;br /&gt;
@@ Line 556: / Line 630: @@
 &lt;/td&gt;
          &lt;td&gt;671.053&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;sih&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;28/19=671.313, 40/27=680.449&lt;br /&gt;
@@ Line 568: / Line 644: @@
 &lt;/td&gt;
          &lt;td&gt;758.798&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;lo&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;17/11=753.637, 99/64=755.228, 14/9=764.916, 39/25=769.855, 25/16=772.627&lt;br /&gt;
@@ Line 580: / Line 658: @@
 &lt;/td&gt;
          &lt;td&gt;846.542&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;lu&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;13/8=840.528, 18/11=852.592&lt;br /&gt;
@@ Line 592: / Line 672: @@
 &lt;/td&gt;
          &lt;td&gt;934.286&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;li&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;12/7=933.129, 19/11=946.195&lt;br /&gt;
@@ Line 604: / Line 686: @@
 &lt;/td&gt;
          &lt;td&gt;1022.031&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;te&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;9/5=1017.596, 49/27=1031.787, 20/11=1034.996&lt;br /&gt;
@@ Line 616: / Line 700: @@
 &lt;/td&gt;
          &lt;td&gt;1109.775&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;taa&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;36/19=1106.397, 243/128=1109.775, 19/10=1111.199, 21/11=1119.463&lt;br /&gt;
@@ Line 621: / Line 707: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td colspan="5" style="text-align: center;"&gt;&lt;strong&gt;&lt;em&gt;fourth octave&lt;/em&gt;&lt;/strong&gt; (near match)&lt;br /&gt;
+         &lt;th colspan="6"&gt;&lt;strong&gt;&lt;em&gt;fourth octave&lt;/em&gt;&lt;/strong&gt; (near match)&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
@@ Line 632: / Line 718: @@
 &lt;/td&gt;
          &lt;td&gt;1197.59&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;do&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;1/1=0, 2/1=1200&lt;br /&gt;