Gallery of just intervals: Difference between revisions

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<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-~~14 15~~:08:57 UTC</tt>.

: This revision was by author [[User:guest|guest]] and made on <tt>2010-09-23 13:06:49 UTC</tt>.

: The original revision id was <tt>~~162608547~~</tt>.

: The original revision id was <tt>164914463</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 25:

==Gallery of Just Intervals==

|| frequency ratio || cents value (three decimal places) ||

||~ frequency ratio ||~ cents value (three decimal places) ||~ some common names ||

|| [[1_1|1:1]] || 0.000 ||

|| [[1_1|1:1]] || 0.000 || unison, perfect prime ||

|| [[81_80|81:80]] || 21.506 ||

|| [[81_80|81:80]] || 21.506 || syntonic comma, Didymus comma ||

|| [[33_32|33:32]] || 53.273 ||

|| [[33_32|33:32]] || 53.273 || undecimal comma, (large) undecimal diesis, al-Farabi's 1/4-tone, 33rd harmonic (octave reduced) ||

|| [[21_20|21:20]] || 84.467 ||

|| [[21_20|21:20]] || 84.467 || minor semitone, (large) (septimal) chromatic semitone ||

|| [[16_15|16:15]] || 111.713 ||

|| [[16_15|16:15]] || 111.713 || (classic) diatonic semitone, classic minor second, minor diatonic semitone, 15th subharmonic (octave reduced) ||

|| [[12_11|12:11]] || 150.637 ||

|| [[12_11|12:11]] || 150.637 || (small) (undecimal) neutral second, 3/4-tone ||

|| [[11_10|11:10]] || 165.004 ||

|| [[11_10|11:10]] || 165.004 || (large) (undecimal) neutral second, 4/5-tone, Ptolemy's second ||

|| [[10_9|10:9]] || 182.404 ||

|| [[10_9|10:9]] || 182.404 || classic (whole) tone, classic major second, minor whole tone ||

|| [[9_8|9:8]] || 203.910 ||

|| [[9_8|9:8]] || 203.910 || (Pythagorean) (whole) tone, Pythagorean major second, major whole tone, 9th harmonic or harmonic ninth (octave reduced) ||

|| [[8_7|8:7]] || 231.174 ||

|| [[8_7|8:7]] || 231.174 || (septimal) supermajor second, septimal whole tone, diminished third, 7th subharmonic ||

|| [[7_6|7:6]] || 266.871 ||

|| [[7_6|7:6]] || 266.871 || (septimal) subminor third, septimal minor third, augmented second ||

|| [[32_27|32:27]] || 294.135 ||

|| [[32_27|32:27]] || 294.135 || Pythagorean minor third, 27th subharmonic (octave reduced) ||

|| [[6_5|6:5]] || 315.641 ||

|| [[6_5|6:5]] || 315.641 || (classic) minor third ||

|| [[11_9|11:9]] || 347.408 ||

|| [[11_9|11:9]] || 347.408 || (undecimal) neutral third ||

|| [[5_4|5:4]] || 386.314 ||

|| [[5_4|5:4]] || 386.314 || (classic) major third, 5th harmonic (octave reduced) ||

|| [[14_11|14:11]] || 417.508 ||

|| [[14_11|14:11]] || 417.508 || (undecimal) supermajor third, undecimal major third, (undecimal) diminished fourth ||

|| [[9_7|9:7]] || 435.084 ||

|| [[9_7|9:7]] || 435.084 || (septimal) supermajor third, septimal major third, BP third, (septimal) diminished fourth ||

|| [[21_16|21:16]] || 470.781 ||

|| [[21_16|21:16]] || 470.781 || sub fourth, narrow fourth, augmented third, 21st harmonic or septimal 11th (octave reduced) ||

|| [[4_3|4:3]] || 498.045 ||

|| [[4_3|4:3]] || 498.045 || perfect fourth, 3rd subharmonic (octave reduced) ||

|| [[27_20|27:20]] || 519.551 ||

|| [[27_20|27:20]] || 519.551 || acute fourth ||

|| [[11_8|11:8]] || 551.318 ||

|| [[11_8|11:8]] || 551.318 || super fourth, undecimal semi-augmented fourth, 11th harmonic or harmonic 11th (octave reduced) ||

|| [[7_5|7:5]] || 582.512 ||

|| [[7_5|7:5]] || 582.512 || augmented fourth, septimal tritone, Huygen's tritone, BP fourth, subdiminished fifth ||

|| [[10_7|10:7]] || 617.488 ||

|| [[10_7|10:7]] || 617.488 || diminished fifth, Euler's tritone, superaugmented fourth ||

|| [[16_11|16:11]] || 648.682 ||

|| [[16_11|16:11]] || 648.682 || sub fifth, undecimal semi-diminished fifth, 11th subharmonic (octave reduced) ||

|| [[40_27|40:27]] || 680.449 ||

|| [[40_27|40:27]] || 680.449 || grave fifth ||

|| [[3_2|3:2]] || 701.955 ||

|| [[3_2|3:2]] || 701.955 || [[perfect fifth]], 3rd harmonic (octave reduced) ||

|| [[32_21|32:21]] || 729.219 ||

|| [[32_21|32:21]] || 729.219 || super fifth, wide fifth, diminished sixth, 21st subharmonic (octave reduced) ||

|| [[14_9|14:9]] || 764.916 ||

|| [[14_9|14:9]] || 764.916 || (septimal) subminor sixth, septimal minor sixth, augmented fifth ||

|| [[11_7|11:7]] || 782.492 ||

|| [[11_7|11:7]] || 782.492 || (undecimal) subminor sixth, undecimal augmented fifth ||

|| [[8_5|8:5]] || 813.686 ||

|| [[8_5|8:5]] || 813.686 || (classic) minor sixth, 5th subharmonic (octave reduced) ||

|| [[18_11|18:11]] || 852.592 ||

|| [[18_11|18:11]] || 852.592 || (undecimal) neutral sixth ||

|| [[5_3|5:3]] || 884.359 ||

|| [[5_3|5:3]] || 884.359 || (classic) major sixth ||

|| [[27_16|27:16]] || 905.865 ||

|| [[27_16|27:16]] || 905.865 || Pythagorean major sixth, 27th harmonic (octave reduced) ||

|| [[12_7|12:7]] || 933.129 ||

|| [[12_7|12:7]] || 933.129 || (septimal) supermajor sixth, septimal major sixth, diminished seventh ||

|| [[7_4|7:4]] || 968.826 ||

|| [[7_4|7:4]] || 968.826 || (septimal) subminor seventh, harmonic seventh, augmented sixth, 7th harmonic (octave reduced) ||

|| [[16_9|16:9]] || 996.090 ||

|| [[16_9|16:9]] || 996.090 || (Pythagorean) minor seventh, 9th subharmonic (octave reduced) ||

|| [[9_5|9:5]] || 1017.596 ||

|| [[9_5|9:5]] || 1017.596 || (classic) minor seventh, just minor seventh, BP seventh ||

|| [[20_11|20:11]] || 1034.996 ||

|| [[20_11|20:11]] || 1034.996 || (small) undecimal neutral seventh, large minor seventh ||

|| [[11_6|11:6]] || 1049.363 ||

|| [[11_6|11:6]] || 1049.363 || (large) (undecimal) neutral seventh, 21/4-tone ||

|| [[15_8|15:8]] || 1088.269 ||

|| [[15_8|15:8]] || 1088.269 || (classic) major seventh, 15th harmonic (octave reduced) ||

|| [[40_21|40:21]] || 1115.533 ||

|| [[40_21|40:21]] || 1115.533 || acute major seventh ||

|| [[64_33|64:33]] || 1146.727 ||

|| [[64_33|64:33]] || 1146.727 || 33rd subharmonic (octave reduced) ||

|| [[160_81|160:81]] || 1178.494 ||

|| [[160_81|160:81]] || 1178.494 || octave minus syntonic comma ||

|| [[2_1|2:1]] || 1200.000 ||</pre></div>

|| [[2_1|2:1]] || 1200.000 || octave ||</pre></div>

<h4>Original HTML content:</h4>

<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Gallery of Just Intervals</title></head><body><h2 id="toc0"><a name="x-Introduction"></a>Introduction</h2>

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<tr>

<td>frequency ratio

<th>frequency ratio

</td>

</th>

<td>cents value (three decimal places)

<th>cents value (three decimal places)

</td>

</th>

<th>some common names

</th>

</tr>

<tr>

Line 103:

Line 105:

</td>

<td>0.000

</td>

<td>unison, perfect prime

</td>

</tr>

Line 109:

Line 113:

</td>

<td>21.506

</td>

<td>syntonic comma, Didymus comma

</td>

</tr>

Line 115:

Line 121:

</td>

<td>53.273

</td>

<td>undecimal comma, (large) undecimal diesis, al-Farabi's 1/4-tone, 33rd harmonic (octave reduced)

</td>

</tr>

Line 121:

Line 129:

</td>

<td>84.467

</td>

<td>minor semitone, (large) (septimal) chromatic semitone

</td>

</tr>

Line 127:

Line 137:

</td>

<td>111.713

</td>

<td>(classic) diatonic semitone, classic minor second, minor diatonic semitone, 15th subharmonic (octave reduced)

</td>

</tr>

Line 133:

Line 145:

</td>

<td>150.637

</td>

<td>(small) (undecimal) neutral second, 3/4-tone

</td>

</tr>

Line 139:

Line 153:

</td>

<td>165.004

</td>

<td>(large) (undecimal) neutral second, 4/5-tone, Ptolemy's second

</td>

</tr>

Line 145:

Line 161:

</td>

<td>182.404

</td>

<td>classic (whole) tone, classic major second, minor whole tone

</td>

</tr>

Line 151:

Line 169:

</td>

<td>203.910

</td>

<td>(Pythagorean) (whole) tone, Pythagorean major second, major whole tone, 9th harmonic or harmonic ninth (octave reduced)

</td>

</tr>

Line 157:

Line 177:

</td>

<td>231.174

</td>

<td>(septimal) supermajor second, septimal whole tone, diminished third, 7th subharmonic

</td>

</tr>

Line 163:

Line 185:

</td>

<td>266.871

</td>

<td>(septimal) subminor third, septimal minor third, augmented second

</td>

</tr>

Line 169:

Line 193:

</td>

<td>294.135

</td>

<td>Pythagorean minor third, 27th subharmonic (octave reduced)

</td>

</tr>

Line 175:

Line 201:

</td>

<td>315.641

</td>

<td>(classic) minor third

</td>

</tr>

Line 181:

Line 209:

</td>

<td>347.408

</td>

<td>(undecimal) neutral third

</td>

</tr>

Line 187:

Line 217:

</td>

<td>386.314

</td>

<td>(classic) major third, 5th harmonic (octave reduced)

</td>

</tr>

Line 193:

Line 225:

</td>

<td>417.508

</td>

<td>(undecimal) supermajor third, undecimal major third, (undecimal) diminished fourth

</td>

</tr>

Line 199:

Line 233:

</td>

<td>435.084

</td>

<td>(septimal) supermajor third, septimal major third, BP third, (septimal) diminished fourth

</td>

</tr>

Line 205:

Line 241:

</td>

<td>470.781

</td>

<td>sub fourth, narrow fourth, augmented third, 21st harmonic or septimal 11th (octave reduced)

</td>

</tr>

Line 211:

Line 249:

</td>

<td>498.045

</td>

<td>perfect fourth, 3rd subharmonic (octave reduced)

</td>

</tr>

Line 217:

Line 257:

</td>

<td>519.551

</td>

<td>acute fourth

</td>

</tr>

Line 223:

Line 265:

</td>

<td>551.318

</td>

<td>super fourth, undecimal semi-augmented fourth, 11th harmonic or harmonic 11th (octave reduced)

</td>

</tr>

Line 229:

Line 273:

</td>

<td>582.512

</td>

<td>augmented fourth, septimal tritone, Huygen's tritone, BP fourth, subdiminished fifth

</td>

</tr>

Line 235:

Line 281:

</td>

<td>617.488

</td>

<td>diminished fifth, Euler's tritone, superaugmented fourth

</td>

</tr>

Line 241:

Line 289:

</td>

<td>648.682

</td>

<td>sub fifth, undecimal semi-diminished fifth, 11th subharmonic (octave reduced)

</td>

</tr>

Line 247:

Line 297:

</td>

<td>680.449

</td>

<td>grave fifth

</td>

</tr>

Line 253:

Line 305:

</td>

<td>701.955

</td>

<td><a class="wiki_link" href="/perfect%20fifth">perfect fifth</a>, 3rd harmonic (octave reduced)

</td>

</tr>

Line 259:

Line 313:

</td>

<td>729.219

</td>

<td>super fifth, wide fifth, diminished sixth, 21st subharmonic (octave reduced)

</td>

</tr>

Line 265:

Line 321:

</td>

<td>764.916

</td>

<td>(septimal) subminor sixth, septimal minor sixth, augmented fifth

</td>

</tr>

Line 271:

Line 329:

</td>

<td>782.492

</td>

<td>(undecimal) subminor sixth, undecimal augmented fifth

</td>

</tr>

Line 277:

Line 337:

</td>

<td>813.686

</td>

<td>(classic) minor sixth, 5th subharmonic (octave reduced)

</td>

</tr>

Line 283:

Line 345:

</td>

<td>852.592

</td>

<td>(undecimal) neutral sixth

</td>

</tr>

Line 289:

Line 353:

</td>

<td>884.359

</td>

<td>(classic) major sixth

</td>

</tr>

Line 295:

Line 361:

</td>

<td>905.865

</td>

<td>Pythagorean major sixth, 27th harmonic (octave reduced)

</td>

</tr>

Line 301:

Line 369:

</td>

<td>933.129

</td>

<td>(septimal) supermajor sixth, septimal major sixth, diminished seventh

</td>

</tr>

Line 307:

Line 377:

</td>

<td>968.826

</td>

<td>(septimal) subminor seventh, harmonic seventh, augmented sixth, 7th harmonic (octave reduced)

</td>

</tr>

Line 313:

Line 385:

</td>

<td>996.090

</td>

<td>(Pythagorean) minor seventh, 9th subharmonic (octave reduced)

</td>

</tr>

Line 319:

Line 393:

</td>

<td>1017.596

</td>

<td>(classic) minor seventh, just minor seventh, BP seventh

</td>

</tr>

Line 325:

Line 401:

</td>

<td>1034.996

</td>

<td>(small) undecimal neutral seventh, large minor seventh

</td>

</tr>

Line 331:

Line 409:

</td>

<td>1049.363

</td>

<td>(large) (undecimal) neutral seventh, 21/4-tone

</td>

</tr>

Line 337:

Line 417:

</td>

<td>1088.269

</td>

<td>(classic) major seventh, 15th harmonic (octave reduced)

</td>

</tr>

Line 343:

Line 425:

</td>

<td>1115.533

</td>

<td>acute major seventh

</td>

</tr>

Line 349:

Line 433:

</td>

<td>1146.727

</td>

<td>33rd subharmonic (octave reduced)

</td>

</tr>

Line 355:

Line 441:

</td>

<td>1178.494

</td>

<td>octave minus syntonic comma

</td>

</tr>

Line 361:

Line 449:

</td>

<td>1200.000

</td>

<td>octave

</td>

</tr>

@@ 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>2010-09-14 15:08:57 UTC</tt>.<br>
+: This revision was by author [[User:guest|guest]] and made on <tt>2010-09-23 13:06:49 UTC</tt>.<br>
-: The original revision id was <tt>162608547</tt>.<br>
+: The original revision id was <tt>164914463</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 25: / Line 25: @@
 ==Gallery of Just Intervals==
-|| frequency ratio || cents value (three decimal places) ||
+||~ frequency ratio ||~ cents value (three decimal places) ||~ some common names ||
-|| [[1_1|1:1]] || 0.000 ||
+|| [[1_1|1:1]] || 0.000 || unison, perfect prime ||
-|| [[81_80|81:80]] || 21.506 ||
+|| [[81_80|81:80]] || 21.506 || syntonic comma, Didymus comma ||
-|| [[33_32|33:32]] || 53.273 ||
+|| [[33_32|33:32]] || 53.273 || undecimal comma, (large) undecimal diesis, al-Farabi's 1/4-tone, 33rd harmonic (octave reduced) ||
-|| [[21_20|21:20]] || 84.467 ||
+|| [[21_20|21:20]] || 84.467 || minor semitone, (large) (septimal) chromatic semitone ||
-|| [[16_15|16:15]] || 111.713 ||
+|| [[16_15|16:15]] || 111.713 || (classic) diatonic semitone, classic minor second, minor diatonic semitone, 15th subharmonic (octave reduced) ||
-|| [[12_11|12:11]] || 150.637 ||
+|| [[12_11|12:11]] || 150.637 || (small) (undecimal) neutral second, 3/4-tone ||
-|| [[11_10|11:10]] || 165.004 ||
+|| [[11_10|11:10]] || 165.004 || (large) (undecimal) neutral second, 4/5-tone, Ptolemy's second ||
-|| [[10_9|10:9]] || 182.404 ||
+|| [[10_9|10:9]] || 182.404 || classic (whole) tone, classic major second, minor whole tone ||
-|| [[9_8|9:8]] || 203.910 ||
+|| [[9_8|9:8]] || 203.910 || (Pythagorean) (whole) tone, Pythagorean major second, major whole tone, 9th harmonic or harmonic ninth (octave reduced) ||
-|| [[8_7|8:7]] || 231.174 ||
+|| [[8_7|8:7]] || 231.174 || (septimal) supermajor second, septimal whole tone, diminished third, 7th subharmonic ||
-|| [[7_6|7:6]] || 266.871 ||
+|| [[7_6|7:6]] || 266.871 || (septimal) subminor third, septimal minor third, augmented second ||
-|| [[32_27|32:27]] || 294.135 ||
+|| [[32_27|32:27]] || 294.135 || Pythagorean minor third, 27th subharmonic (octave reduced) ||
-|| [[6_5|6:5]] || 315.641 ||
+|| [[6_5|6:5]] || 315.641 || (classic) minor third ||
-|| [[11_9|11:9]] || 347.408 ||
+|| [[11_9|11:9]] || 347.408 || (undecimal) neutral third ||
-|| [[5_4|5:4]] || 386.314 ||
+|| [[5_4|5:4]] || 386.314 || (classic) major third, 5th harmonic (octave reduced) ||
-|| [[14_11|14:11]] || 417.508 ||
+|| [[14_11|14:11]] || 417.508 || (undecimal) supermajor third, undecimal major third, (undecimal) diminished fourth ||
-|| [[9_7|9:7]] || 435.084 ||
+|| [[9_7|9:7]] || 435.084 || (septimal) supermajor third, septimal major third, BP third, (septimal) diminished fourth ||
-|| [[21_16|21:16]] || 470.781 ||
+|| [[21_16|21:16]] || 470.781 || sub fourth, narrow fourth, augmented third, 21st harmonic or septimal 11th (octave reduced) ||
-|| [[4_3|4:3]] || 498.045 ||
+|| [[4_3|4:3]] || 498.045 || perfect fourth, 3rd subharmonic (octave reduced) ||
-|| [[27_20|27:20]] || 519.551 ||
+|| [[27_20|27:20]] || 519.551 || acute fourth ||
-|| [[11_8|11:8]] || 551.318 ||
+|| [[11_8|11:8]] || 551.318 || super fourth, undecimal semi-augmented fourth, 11th harmonic or harmonic 11th (octave reduced) ||
-|| [[7_5|7:5]] || 582.512 ||
+|| [[7_5|7:5]] || 582.512 || augmented fourth, septimal tritone, Huygen's tritone, BP fourth, subdiminished fifth ||
-|| [[10_7|10:7]] || 617.488 ||
+|| [[10_7|10:7]] || 617.488 || diminished fifth, Euler's tritone, superaugmented fourth ||
-|| [[16_11|16:11]] || 648.682 ||
+|| [[16_11|16:11]] || 648.682 || sub fifth, undecimal semi-diminished fifth, 11th subharmonic (octave reduced) ||
-|| [[40_27|40:27]] || 680.449 ||
+|| [[40_27|40:27]] || 680.449 || grave fifth ||
-|| [[3_2|3:2]] || 701.955 ||
+|| [[3_2|3:2]] || 701.955 || [[perfect fifth]], 3rd harmonic (octave reduced) ||
-|| [[32_21|32:21]] || 729.219 ||
+|| [[32_21|32:21]] || 729.219 || super fifth, wide fifth, diminished sixth, 21st subharmonic (octave reduced) ||
-|| [[14_9|14:9]] || 764.916 ||
+|| [[14_9|14:9]] || 764.916 || (septimal) subminor sixth, septimal minor sixth, augmented fifth ||
-|| [[11_7|11:7]] || 782.492 ||
+|| [[11_7|11:7]] || 782.492 || (undecimal) subminor sixth, undecimal augmented fifth ||
-|| [[8_5|8:5]] || 813.686 ||
+|| [[8_5|8:5]] || 813.686 || (classic) minor sixth, 5th subharmonic (octave reduced) ||
-|| [[18_11|18:11]] || 852.592 ||
+|| [[18_11|18:11]] || 852.592 || (undecimal) neutral sixth ||
-|| [[5_3|5:3]] || 884.359 ||
+|| [[5_3|5:3]] || 884.359 || (classic) major sixth ||
-|| [[27_16|27:16]] || 905.865 ||
+|| [[27_16|27:16]] || 905.865 || Pythagorean major sixth, 27th harmonic (octave reduced) ||
-|| [[12_7|12:7]] || 933.129 ||
+|| [[12_7|12:7]] || 933.129 || (septimal) supermajor sixth, septimal major sixth, diminished seventh ||
-|| [[7_4|7:4]] || 968.826 ||
+|| [[7_4|7:4]] || 968.826 || (septimal) subminor seventh, harmonic seventh, augmented sixth, 7th harmonic (octave reduced) ||
-|| [[16_9|16:9]] || 996.090 ||
+|| [[16_9|16:9]] || 996.090 || (Pythagorean) minor seventh, 9th subharmonic (octave reduced) ||
-|| [[9_5|9:5]] || 1017.596 ||
+|| [[9_5|9:5]] || 1017.596 || (classic) minor seventh, just minor seventh, BP seventh ||
-|| [[20_11|20:11]] || 1034.996 ||
+|| [[20_11|20:11]] || 1034.996 || (small) undecimal neutral seventh, large minor seventh ||
-|| [[11_6|11:6]] || 1049.363 ||
+|| [[11_6|11:6]] || 1049.363 || (large) (undecimal) neutral seventh, 21/4-tone ||
-|| [[15_8|15:8]] || 1088.269 ||
+|| [[15_8|15:8]] || 1088.269 || (classic) major seventh, 15th harmonic (octave reduced) ||
-|| [[40_21|40:21]] || 1115.533 ||
+|| [[40_21|40:21]] || 1115.533 || acute major seventh ||
-|| [[64_33|64:33]] || 1146.727 ||
+|| [[64_33|64:33]] || 1146.727 || 33rd subharmonic (octave reduced) ||
-|| [[160_81|160:81]] || 1178.494 ||
+|| [[160_81|160:81]] || 1178.494 || octave minus syntonic comma ||
-|| [[2_1|2:1]] || 1200.000 ||</pre></div>
+|| [[2_1|2:1]] || 1200.000 || octave ||</pre></div>
 <h4>Original HTML content:</h4>
 <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Gallery of Just Intervals&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Introduction"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Introduction&lt;/h2&gt;
@@ Line 94: / Line 94: @@
 &lt;table class="wiki_table"&gt;
      &lt;tr&gt;
-         &lt;td&gt;frequency ratio&lt;br /&gt;
+         &lt;th&gt;frequency ratio&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
-         &lt;td&gt;cents value (three decimal places)&lt;br /&gt;
+         &lt;th&gt;cents value (three decimal places)&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
+        &lt;th&gt;some common names&lt;br /&gt;
+&lt;/th&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
@@ Line 103: / Line 105: @@
 &lt;/td&gt;
          &lt;td&gt;0.000&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;unison, perfect prime&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 109: / Line 113: @@
 &lt;/td&gt;
          &lt;td&gt;21.506&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;syntonic comma, Didymus comma&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 115: / Line 121: @@
 &lt;/td&gt;
          &lt;td&gt;53.273&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;undecimal comma, (large) undecimal diesis, al-Farabi's 1/4-tone, 33rd harmonic (octave reduced)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 121: / Line 129: @@
 &lt;/td&gt;
          &lt;td&gt;84.467&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;minor semitone, (large) (septimal) chromatic semitone&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 127: / Line 137: @@
 &lt;/td&gt;
          &lt;td&gt;111.713&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;(classic) diatonic semitone, classic minor second, minor diatonic semitone, 15th subharmonic (octave reduced)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 133: / Line 145: @@
 &lt;/td&gt;
          &lt;td&gt;150.637&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;(small) (undecimal) neutral second, 3/4-tone&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 139: / Line 153: @@
 &lt;/td&gt;
          &lt;td&gt;165.004&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;(large) (undecimal) neutral second, 4/5-tone, Ptolemy's second&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 145: / Line 161: @@
 &lt;/td&gt;
          &lt;td&gt;182.404&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;classic (whole) tone, classic major second, minor whole tone&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 151: / Line 169: @@
 &lt;/td&gt;
          &lt;td&gt;203.910&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;(Pythagorean) (whole) tone, Pythagorean major second, major whole tone, 9th harmonic or harmonic ninth (octave reduced)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 157: / Line 177: @@
 &lt;/td&gt;
          &lt;td&gt;231.174&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;(septimal) supermajor second, septimal whole tone, diminished third, 7th subharmonic&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 163: / Line 185: @@
 &lt;/td&gt;
          &lt;td&gt;266.871&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;(septimal) subminor third, septimal minor third, augmented second&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 169: / Line 193: @@
 &lt;/td&gt;
          &lt;td&gt;294.135&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;Pythagorean minor third, 27th subharmonic (octave reduced)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 175: / Line 201: @@
 &lt;/td&gt;
          &lt;td&gt;315.641&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;(classic) minor third&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 181: / Line 209: @@
 &lt;/td&gt;
          &lt;td&gt;347.408&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;(undecimal) neutral third&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 187: / Line 217: @@
 &lt;/td&gt;
          &lt;td&gt;386.314&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;(classic) major third, 5th harmonic (octave reduced)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 193: / Line 225: @@
 &lt;/td&gt;
          &lt;td&gt;417.508&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;(undecimal) supermajor third, undecimal major third, (undecimal) diminished fourth&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 199: / Line 233: @@
 &lt;/td&gt;
          &lt;td&gt;435.084&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;(septimal) supermajor third, septimal major third, BP third, (septimal) diminished fourth&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 205: / Line 241: @@
 &lt;/td&gt;
          &lt;td&gt;470.781&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;sub fourth, narrow fourth, augmented third, 21st harmonic or septimal 11th (octave reduced)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 211: / Line 249: @@
 &lt;/td&gt;
          &lt;td&gt;498.045&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;perfect fourth, 3rd subharmonic (octave reduced)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 217: / Line 257: @@
 &lt;/td&gt;
          &lt;td&gt;519.551&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;acute fourth&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 223: / Line 265: @@
 &lt;/td&gt;
          &lt;td&gt;551.318&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;super fourth, undecimal semi-augmented fourth, 11th harmonic or harmonic 11th (octave reduced)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 229: / Line 273: @@
 &lt;/td&gt;
          &lt;td&gt;582.512&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;augmented fourth, septimal tritone, Huygen's tritone, BP fourth, subdiminished fifth&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 235: / Line 281: @@
 &lt;/td&gt;
          &lt;td&gt;617.488&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;diminished fifth, Euler's tritone, superaugmented fourth&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 241: / Line 289: @@
 &lt;/td&gt;
          &lt;td&gt;648.682&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;sub fifth, undecimal semi-diminished fifth, 11th subharmonic (octave reduced)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 247: / Line 297: @@
 &lt;/td&gt;
          &lt;td&gt;680.449&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;grave fifth&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 253: / Line 305: @@
 &lt;/td&gt;
          &lt;td&gt;701.955&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;a class="wiki_link" href="/perfect%20fifth"&gt;perfect fifth&lt;/a&gt;, 3rd harmonic (octave reduced)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 259: / Line 313: @@
 &lt;/td&gt;
          &lt;td&gt;729.219&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;super fifth, wide fifth, diminished sixth, 21st subharmonic (octave reduced)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 265: / Line 321: @@
 &lt;/td&gt;
          &lt;td&gt;764.916&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;(septimal) subminor sixth, septimal minor sixth, augmented fifth&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 271: / Line 329: @@
 &lt;/td&gt;
          &lt;td&gt;782.492&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;(undecimal) subminor sixth, undecimal augmented fifth&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 277: / Line 337: @@
 &lt;/td&gt;
          &lt;td&gt;813.686&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;(classic) minor sixth, 5th subharmonic (octave reduced)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 283: / Line 345: @@
 &lt;/td&gt;
          &lt;td&gt;852.592&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;(undecimal) neutral sixth&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 289: / Line 353: @@
 &lt;/td&gt;
          &lt;td&gt;884.359&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;(classic) major sixth&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 295: / Line 361: @@
 &lt;/td&gt;
          &lt;td&gt;905.865&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;Pythagorean major sixth, 27th harmonic (octave reduced)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 301: / Line 369: @@
 &lt;/td&gt;
          &lt;td&gt;933.129&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;(septimal) supermajor sixth, septimal major sixth, diminished seventh&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 307: / Line 377: @@
 &lt;/td&gt;
          &lt;td&gt;968.826&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;(septimal) subminor seventh, harmonic seventh, augmented sixth, 7th harmonic (octave reduced)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 313: / Line 385: @@
 &lt;/td&gt;
          &lt;td&gt;996.090&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;(Pythagorean) minor seventh, 9th subharmonic (octave reduced)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 319: / Line 393: @@
 &lt;/td&gt;
          &lt;td&gt;1017.596&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;(classic) minor seventh, just minor seventh, BP seventh&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 325: / Line 401: @@
 &lt;/td&gt;
          &lt;td&gt;1034.996&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;(small) undecimal neutral seventh, large minor seventh&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 331: / Line 409: @@
 &lt;/td&gt;
          &lt;td&gt;1049.363&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;(large) (undecimal) neutral seventh, 21/4-tone&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 337: / Line 417: @@
 &lt;/td&gt;
          &lt;td&gt;1088.269&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;(classic) major seventh, 15th harmonic (octave reduced)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 343: / Line 425: @@
 &lt;/td&gt;
          &lt;td&gt;1115.533&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;acute major seventh&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 349: / Line 433: @@
 &lt;/td&gt;
          &lt;td&gt;1146.727&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;33rd subharmonic (octave reduced)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 355: / Line 441: @@
 &lt;/td&gt;
          &lt;td&gt;1178.494&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;octave minus syntonic comma&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 361: / Line 449: @@
 &lt;/td&gt;
          &lt;td&gt;1200.000&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;octave&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;