Gallery of just intervals: 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:TallKite|TallKite]] and made on <tt>2016-10-25 04:59:08 UTC</tt>.

: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-10-25 06:59:47 UTC</tt>.

: The original revision id was <tt>~~596844418~~</tt>.

: The original revision id was <tt>596895824</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 26:

|| [[1_1|1/1]] || 0 || w1 = unison, unity, perfect prime, Tonic ||

|| [[32805_32768|32805/32768]] || 1.95372 || Ly-2 = yellow subcomma, schisma, |-15, 8, 1> ||

|| 225/224 || 7.712 || ryy-2 = reddish-yellow subcomma, |-5, 2, 2, -1> ||

|| [[100_99|100/99]] || 17.399484 || ayy1 = amber deep yellow comma, Ptolemy's comma ||

|| [[99_98|99/98]] || 17.576131 || jrr-2 = jade deep red comma, Mothwellsma ||

|| 2048/2025 || 19.553 || sgg2 = small deep green comma ||

|| [[81_80|81/80]] || 21.506286 || g1 = green comma, Syntonic comma, Didymus comma ||

|| [[531441_524288|531441/524288]] || 23.46001 || LLw-2 = white comma, Pythagorean comma, Ditonic comma, |-19, 12> ||

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|| [[64_61|64/61]] || 83.115195 || harry minor semitone ||

|| [[21_20|21/20]] || 84.467193 || bg2 = bluish 2nd, minor semitone, large septimal chromatic semitone ||

|| [[256_243|256/243]] || 90.224996 || sw2 = small white 2nd, Pythagorean limma, Pythagorean minor second ||

|| [[256_243|256/243]] || 90.224996 || sw2 = small white 2nd, Pythagorean limma, Pythagorean minor second, |8, -5> ||

|| [[135_128|135/128]] || 92.178716 || Ly1 = large yellow semitone, major limma, |-7, 3, 1> ||

|| [[18_17|18/17]] || 98.954592 || u1 = umber semitone, small septendecimal semitone, Arabic lute index finger ||

|| [[17_16|17/16]] || 104.95541 || t2 = tan 2nd, large septendecimal semitone, octave-reduced 17th harmonic ||

|| [[16_15|16/15]] || 111.731285 || g2 = green 2nd, diatonic semitone, classic minor second, octave-reduced 15th subharmonic ||

|| [[2187_2048|2187/2048]] || 113.685006 || Lw1 = large white semitone, apotome ||

|| [[2187_2048|2187/2048]] || 113.685006 || Lw1 = large white semitone, apotome, |-11, 7> ||

|| [[77_72|77/72]] || 116.233847 || jb2 = jade-blue 2nd, undecimal secor ||

|| [[15_14|15/14]] || 119.442808 || ry1 = reddish semitone, septimal diatonic semitone ||

Line 139:

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|| [[88_63|88/63]] || 578.582034 || jr4 = jade-red 4th, werckismic augmented fourth ||

|| [[7_5|7/5]] || 582.512193 || bg5 = bluish 5th, augmented fourth, septimal tritone, Huygen's tritone ||

|| 45/32 || 590.224 || y4 = yellow 4th ||

|| [[108_77|108/77]] || 585.721154 || ar4 = amber-red 4th, swetismic augmented fourth, |2, 3, 0, -1, -1> ||

|| [[24_17|24/17]] || 596.999591 || u4 = umber 4th, smaller septendecimal tritone ||

|| [[17_12|17/12]] || 603.000409 || t5 = tan 5th, larger septendecimal tritone ||

|| 64/45 || 609.776 || g5 = green 5th ||

|| [[10_7|10/7]] || 617.487807 || ry4 = reddish 4th, diminished fifth, Euler's tritone, superaugmented fourth ||

|| [[xenharmonic/23_16|23/16]] || 628.2743 || 23-limit superaugmented fourth, octave-reduced 23rd harmonic ||

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|| [[25_16|25/16]] || 772.627428 || yy5 = deep yellow 5th, pental augmented fifth, classic augmented fifth, otonal minor sixth, octave-reduced 25th harmonic ||

|| [[11_7|11/7]] || 782.492036 || jr5 = jade-red 5th, undecimal subminor sixth, undecimal augmented fifth ||

|| 63/40 || 786.422 || bg6 = bluish 6th ||

|| 128/81 || 792.180 || sw6 = small white 6th ||

|| [[8_5|8/5]] || 813.686286 || g6 = green 6th, minor sixth, octave-reduced 5th subharmonic ||

|| 413/256 || 827.997565 || octave-reduced 413th harmonic, homestuck sixth (2-8 * 7 * 59) ||

Line 195:

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|| [[15_8|15/8]] || 1088.268715 || y7 = yellow 7th, major seventh, just major seventh, octave-reduced 15th harmonic ||

|| [[32_17|32/17]] || 1095.04459 || u7 = umber 7th, small septendecimal major seventh, 8ve-reduced 17th subharmonic ||

|| [[17_9|17/9]] || 1101.045408 || t8 - tan dim 8ve, large septendecimal major seventh ||

|| [[17_9|17/9]] || 1101.045408 || t8 = tan dim 8ve, large septendecimal major seventh ||

|| [[243_128|243/128]] || 1109.775004 || Lw7 = large white 7th, Pythagorean major seventh, octave-reduced 243rd harmonic ||

|| [[40_21|40/21]] || 1115.532907 || ry7 = reddish 7th, acute major seventh ||

|| [[61_32|61/32]] || 1116.884905 || octave-reduced 61st harmonic ||

|| [[48_25|48/25]] || 1129.327573 || gg8 - deep green dim 8ve ||

|| [[48_25|48/25]] || 1129.327573 || gg8 = deep green dim 8ve ||

|| 27/14 || 1137.039 || r7 = red 7th ||

|| [[xenharmonic/31_16|31/16]] || 1145.0356 || 31-limit ultramajor seventh, octave-reduced 31st harmonic ||

|| [[64_33|64/33]] || 1146.727057 || a8 = amber 8ve, octave-reduced 33rd subharmonic ||

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</td>

<td>Ly-2 = yellow subcomma, schisma, |-15, 8, 1&gt;

</td>

</tr>

<tr>

<td>225/224

</td>

<td>7.712

</td>

<td>ryy-2 = reddish-yellow subcomma, |-5, 2, 2, -1&gt;

</td>

</tr>

Line 273:

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</td>

<td>jrr-2 = jade deep red comma, Mothwellsma

</td>

</tr>

<tr>

<td>2048/2025

</td>

<td>19.553

</td>

<td>sgg2 = small deep green comma

</td>

</tr>

Line 464:

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<td>90.224996

</td>

<td>sw2 = small white 2nd, Pythagorean limma, Pythagorean minor second

<td>sw2 = small white 2nd, Pythagorean limma, Pythagorean minor second, |8, -5&gt;

</td>

</tr>

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<td>113.685006

</td>

<td>Lw1 = large white semitone, apotome

<td>Lw1 = large white semitone, apotome, |-11, 7&gt;

</td>

</tr>

Line 1,161:

Line 1,184:

</td>

<td>bg5 = bluish 5th, augmented fourth, septimal tritone, Huygen's tritone

</td>

</tr>

<tr>

<td>45/32

</td>

<td>590.224

</td>

<td>y4 = yellow 4th

</td>

</tr>

Line 1,185:

Line 1,216:

</td>

<td>t5 = tan 5th, larger septendecimal tritone

</td>

</tr>

<tr>

<td>64/45

</td>

<td>609.776

</td>

<td>g5 = green 5th

</td>

</tr>

Line 1,377:

Line 1,416:

</td>

<td>jr5 = jade-red 5th, undecimal subminor sixth, undecimal augmented fifth

</td>

</tr>

<tr>

<td>63/40

</td>

<td>786.422

</td>

<td>bg6 = bluish 6th

</td>

</tr>

<tr>

<td>128/81

</td>

<td>792.180

</td>

<td>sw6 = small white 6th

</td>

</tr>

Line 1,616:

Line 1,671:

<td>1101.045408

</td>

<td>t8 - tan dim 8ve, large septendecimal major seventh

<td>t8 = tan dim 8ve, large septendecimal major seventh

</td>

</tr>

Line 1,648:

Line 1,703:

<td>1129.327573

</td>

<td>gg8 - deep green dim 8ve

<td>gg8 = deep green dim 8ve

</td>

</tr>

<tr>

<td>27/14

</td>

<td>1137.039

</td>

<td>r7 = red 7th

</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:TallKite|TallKite]] and made on <tt>2016-10-25 04:59:08 UTC</tt>.<br>
+: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-10-25 06:59:47 UTC</tt>.<br>
-: The original revision id was <tt>596844418</tt>.<br>
+: The original revision id was <tt>596895824</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 26: / Line 26: @@
 || [[1_1|1/1]] || 0 || w1 = unison, unity, perfect prime, Tonic ||
 || [[32805_32768|32805/32768]] || 1.95372 || Ly-2 = yellow subcomma, schisma, |-15, 8, 1&gt; ||
+|| 225/224 || 7.712 || ryy-2 = reddish-yellow subcomma, |-5, 2, 2, -1&gt; ||
 || [[100_99|100/99]] || 17.399484 || ayy1 = amber deep yellow comma, Ptolemy's comma ||
 || [[99_98|99/98]] || 17.576131 || jrr-2 = jade deep red comma, Mothwellsma ||
+|| 2048/2025 || 19.553 || sgg2 = small deep green comma ||
 || [[81_80|81/80]] || 21.506286 || g1 = green comma, Syntonic comma, Didymus comma ||
 || [[531441_524288|531441/524288]] || 23.46001 || LLw-2 = white comma, Pythagorean comma, Ditonic comma, |-19, 12&gt; ||
@@ Line 51: / Line 53: @@
 || [[64_61|64/61]] || 83.115195 || harry minor semitone ||
 || [[21_20|21/20]] || 84.467193 || bg2 = bluish 2nd, minor semitone, large septimal chromatic semitone ||
-|| [[256_243|256/243]] || 90.224996 || sw2 = small white 2nd, Pythagorean limma, Pythagorean minor second ||
+|| [[256_243|256/243]] || 90.224996 || sw2 = small white 2nd, Pythagorean limma, Pythagorean minor second, |8, -5&gt; ||
 || [[135_128|135/128]] || 92.178716 || Ly1 = large yellow semitone, major limma, |-7, 3, 1&gt; ||
 || [[18_17|18/17]] || 98.954592 || u1 = umber semitone, small septendecimal semitone, Arabic lute index finger ||
 || [[17_16|17/16]] || 104.95541 || t2 = tan 2nd, large septendecimal semitone, octave-reduced 17th harmonic ||
 || [[16_15|16/15]] || 111.731285 || g2 = green 2nd, diatonic semitone, classic minor second, octave-reduced 15th subharmonic ||
-|| [[2187_2048|2187/2048]] || 113.685006 || Lw1 = large white semitone, apotome ||
+|| [[2187_2048|2187/2048]] || 113.685006 || Lw1 = large white semitone, apotome, |-11, 7&gt; ||
 || [[77_72|77/72]] || 116.233847 || jb2 = jade-blue 2nd, undecimal secor ||
 || [[15_14|15/14]] || 119.442808 || ry1 = reddish semitone, septimal diatonic semitone ||
@@ Line 139: / Line 141: @@
 || [[88_63|88/63]] || 578.582034 || jr4 = jade-red 4th, werckismic augmented fourth ||
 || [[7_5|7/5]] || 582.512193 || bg5 = bluish 5th, augmented fourth, septimal tritone, Huygen's tritone ||
+|| 45/32 || 590.224 || y4 = yellow 4th ||
 || [[108_77|108/77]] || 585.721154 || ar4 = amber-red 4th, swetismic augmented fourth, |2, 3, 0, -1, -1&gt; ||
 || [[24_17|24/17]] || 596.999591 || u4 = umber 4th, smaller septendecimal tritone ||
 || [[17_12|17/12]] || 603.000409 || t5 = tan 5th, larger septendecimal tritone ||
+|| 64/45 || 609.776 || g5 = green 5th ||
 || [[10_7|10/7]] || 617.487807 || ry4 = reddish 4th, diminished fifth, Euler's tritone, superaugmented fourth ||
 || [[xenharmonic/23_16|23/16]] || 628.2743 || 23-limit superaugmented fourth, octave-reduced 23rd harmonic ||
@@ Line 166: / Line 170: @@
 || [[25_16|25/16]] || 772.627428 || yy5 = deep yellow 5th, pental augmented fifth, classic augmented fifth, otonal minor sixth, octave-reduced 25th harmonic ||
 || [[11_7|11/7]] || 782.492036 || jr5 = jade-red 5th, undecimal subminor sixth, undecimal augmented fifth ||
+|| 63/40 || 786.422 || bg6 = bluish 6th ||
+|| 128/81 || 792.180 || sw6 = small white 6th ||
 || [[8_5|8/5]] || 813.686286 || g6 = green 6th, minor sixth, octave-reduced 5th subharmonic ||
 || 413/256 || &lt;span style="background-color: #ffffff;"&gt;827.997565&lt;/span&gt; || octave-reduced 413th harmonic, homestuck sixth (2&lt;span style="vertical-align: super;"&gt;-8&lt;/span&gt; * 7 * 59) ||
@@ Line 195: / Line 201: @@
 || [[15_8|15/8]] || 1088.268715 || y7 = yellow 7th, major seventh, just major seventh, octave-reduced 15th harmonic ||
 || [[32_17|32/17]] || 1095.04459 || u7 = umber 7th, small septendecimal major seventh, 8ve-reduced 17th subharmonic ||
-|| [[17_9|17/9]] || 1101.045408 || t8 - tan dim 8ve, large septendecimal major seventh ||
+|| [[17_9|17/9]] || 1101.045408 || t8 = tan dim 8ve, large septendecimal major seventh ||
 || [[243_128|243/128]] || 1109.775004 || Lw7 = large white 7th, Pythagorean major seventh, octave-reduced 243rd harmonic ||
 || [[40_21|40/21]] || 1115.532907 || ry7 = reddish 7th, acute major seventh ||
 || [[61_32|61/32]] || 1116.884905 || octave-reduced 61st harmonic ||
-|| [[48_25|48/25]] || 1129.327573 || gg8 - deep green dim 8ve ||
+|| [[48_25|48/25]] || 1129.327573 || gg8 = deep green dim 8ve ||
+|| 27/14 || 1137.039 || r7 = red 7th ||
 || [[xenharmonic/31_16|31/16]] || 1145.0356 || 31-limit ultramajor seventh, octave-reduced 31st harmonic ||
 || [[64_33|64/33]] || 1146.727057 || a8 = amber 8ve, octave-reduced 33rd subharmonic ||
@@ Line 257: / Line 264: @@
 &lt;/td&gt;
          &lt;td&gt;Ly-2 = yellow subcomma, schisma, |-15, 8, 1&amp;gt;&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;225/224&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;7.712&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;ryy-2 = reddish-yellow subcomma, |-5, 2, 2, -1&amp;gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 273: / Line 288: @@
 &lt;/td&gt;
          &lt;td&gt;jrr-2 = jade deep red comma, Mothwellsma&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;2048/2025&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;19.553&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;sgg2 = small deep green comma&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 464: / Line 487: @@
          &lt;td&gt;90.224996&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;sw2 = small white 2nd, Pythagorean limma, Pythagorean minor second&lt;br /&gt;
+         &lt;td&gt;sw2 = small white 2nd, Pythagorean limma, Pythagorean minor second, |8, -5&amp;gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 504: / Line 527: @@
          &lt;td&gt;113.685006&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Lw1 = large white semitone, apotome&lt;br /&gt;
+         &lt;td&gt;Lw1 = large white semitone, apotome, |-11, 7&amp;gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 1,161: / Line 1,184: @@
 &lt;/td&gt;
          &lt;td&gt;bg5 = bluish 5th, augmented fourth, septimal tritone, Huygen's tritone&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;45/32&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;590.224&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;y4 = yellow 4th&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 1,185: / Line 1,216: @@
 &lt;/td&gt;
          &lt;td&gt;t5 = tan 5th, larger septendecimal tritone&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;64/45&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;609.776&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;g5 = green 5th&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 1,377: / Line 1,416: @@
 &lt;/td&gt;
          &lt;td&gt;jr5 = jade-red 5th, undecimal subminor sixth, undecimal augmented fifth&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;63/40&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;786.422&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;bg6 = bluish 6th&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;128/81&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;792.180&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;sw6 = small white 6th&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 1,616: / Line 1,671: @@
          &lt;td&gt;1101.045408&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;t8 - tan dim 8ve, large septendecimal major seventh&lt;br /&gt;
+         &lt;td&gt;t8 = tan dim 8ve, large septendecimal major seventh&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 1,648: / Line 1,703: @@
          &lt;td&gt;1129.327573&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;gg8 - deep green dim 8ve&lt;br /&gt;
+         &lt;td&gt;gg8 = deep green dim 8ve&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;27/14&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;1137.039&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;r7 = red 7th&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;