16edo: 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:TallKite|TallKite]] and made on <tt>2016-12-~~22 04~~:13:52 UTC</tt>.

: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-12-25 19:11:04 UTC</tt>.

: The original revision id was <tt>~~602738502~~</tt>.

: The original revision id was <tt>602808596</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.

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Ratios* || Interval Names

Just || Interval Names

Simplified || Interval names

with major wider

than minor || Interval names,

major narrower

than minor ||

|| 0 || 0 ||= 1/1 || Unison || Unison || ~~Unison~~ || ~~Unison~~ ||

|| 0 || 0 ||= 1/1 || Unison || Unison || unison || unison ||

|| 1 || 75 ||= 28/27, 27/26 || Subminor 2nd || Minor ~~Second~~ || aug 1, dim 2nd || dim 1, aug 2nd ||

|| 1 || 75 ||= 28/27, 27/26 || Subminor 2nd || Minor 2nd || aug 1, dim 2nd || dim 1, aug 2nd ||

|| 2 || 150 ||= 12/11, 35/32 || Neutral 2nd || Major ~~Second~~ || min 2nd || maj 2nd ||

|| 2 || 150 ||= 12/11, 35/32 || Neutral 2nd || Major 2nd || min 2nd || maj 2nd ||

|| 3 || 225 ||= 8/7 || Supermajor 2nd,

Septimal Whole-Tone || Perfect ~~Second~~ || maj 2nd || min 2nd ||

Septimal Whole-Tone || Perfect 2nd || maj 2nd || min 2nd ||

|| 4 || 300 ||= 19/16, 32/27 || Minor 3rd || Minor ~~Third~~ || min 3rd || maj 3rd ||

|| 4 || 300 ||= 19/16, 32/27 || Minor 3rd || Minor 3rd || min 3rd || maj 3rd ||

|| 5 || 375 ||= 5/4, 26/21 || Major 3rd || Major ~~Third~~ || maj 3rd || min 3rd ||

|| 5 || 375 ||= 5/4, 26/21 || Major 3rd || Major 3rd || maj 3rd || min 3rd ||

|| 6 || 450 ||= 13/10, 35/27 || Sub-4th,

Supermajor 3rd || Minor ~~Fourth~~ || aug 3rd, dim 4th || dim 3rd, aug 4th ||

Supermajor 3rd || Minor 4th || aug 3rd, dim 4th || dim 3rd, aug 4th ||

|| 7 || 525 ||= 27/20, 52/35, 256/189 || Wide 4th || Major ~~Fourth~~ || ~~perfect~~ 4th || ~~perfect~~ 4th ||

|| 7 || 525 ||= 27/20, 52/35, 256/189 || Wide 4th || Major 4th || perf 4th || perf 4th ||

|| 8 || 600 ||= 7/5, 10/7 || Tritone || Augmented ~~fourth/~~

|| 8 || 600 ||= 7/5, 10/7 || Tritone || Augmented 4th,

Diminished ~~fifth~~ || aug 4th, dim 5th || dim 4th, aug 5th ||

Diminished 5th || aug 4th, dim 5th || dim 4th, aug 5th ||

|| 9 || 675 ||= 40/27, 35/26, 189/128 || Narrow 5th || Minor ~~Fifth~~ || ~~perfect~~ 5th || ~~perfect~~ 5th ||

|| 9 || 675 ||= 40/27, 35/26, 189/128 || Narrow 5th || Minor 5th || perf 5th || perf 5th ||

|| 10 || 750 ||= 20/13, 54/35 || Super-5th,

Subminor 6th || Major ~~Fifth~~ || aug 5th, dim 6th || dim 5th, aug 6th ||

Subminor 6th || Major 5th || aug 5th, dim 6th || dim 5th, aug 6th ||

|| 11 || 825 ||= 8/5, 21/13 || Minor 6th || Minor ~~Sixth~~ || min 6th || maj 6th ||

|| 11 || 825 ||= 8/5, 21/13 || Minor 6th || Minor 6th || min 6th || maj 6th ||

|| 12 || 900 ||= 27/16, 32/19 || Major 6th || Major ~~Sixth~~ || maj 6th || min 6th ||

|| 12 || 900 ||= 27/16, 32/19 || Major 6th || Major 6th || maj 6th || min 6th ||

|| 13 || 975 ||= 7/4 || Subminor 7th,

Septimal Minor 7th || Perfect ~~Seventh~~ || min 7th || maj 7th ||

Septimal Minor 7th || Perfect 7th || min 7th || maj 7th ||

|| 14 || 1050 ||= 11/6, 64/35 || Neutral 7th || Minor ~~Seventh~~ || maj 7th || min 7th ||

|| 14 || 1050 ||= 11/6, 64/35 || Neutral 7th || Minor 7th || maj 7th || min 7th ||

|| 15 || 1125 ||= 27/14, 52/27 || Supermajor 7th || Major ~~Seventh~~ || aug 7th, dim 8ve || dim 7th, aug 8ve ||

|| 15 || 1125 ||= 27/14, 52/27 || Supermajor 7th || Major 7th || aug 7th, dim 8ve || dim 7th, aug 8ve ||

|| 16 || 1200 ||= 2/1 || Octave || Octave || ~~perfect~~ 8ve || ~~perfect~~ 8ve ||

|| 16 || 1200 ||= 2/1 || Octave || Octave || 8ve || 8ve ||

*based on treating 16-EDO as a 2.5.7.13.19.27 subgroup temperament; other approaches are possible.

Line 282:

Simplified

</td>

<td>Interval names

<td>Interval names

with major wider

with major wider

than minor

</td>

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<td>Unison

</td>

<td>~~Unison~~

<td>unison

</td>

<td>~~Unison~~

<td>unison

</td>

</tr>

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<td>Subminor 2nd

</td>

<td>Minor ~~Second~~

<td>Minor 2nd

</td>

<td>aug 1, dim 2nd

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<td>Neutral 2nd

</td>

<td>Major ~~Second~~

<td>Major 2nd

</td>

<td>min 2nd

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Septimal Whole-Tone

</td>

<td>Perfect ~~Second~~

<td>Perfect 2nd

</td>

<td>maj 2nd

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<td>Minor 3rd

</td>

<td>Minor ~~Third~~

<td>Minor 3rd

</td>

<td>min 3rd

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<td>Major 3rd

</td>

<td>Major ~~Third~~

<td>Major 3rd

</td>

<td>maj 3rd

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Supermajor 3rd

</td>

<td>Minor ~~Fourth~~

<td>Minor 4th

</td>

<td>aug 3rd, dim 4th

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<td>Wide 4th

</td>

<td>Major ~~Fourth~~

<td>Major 4th

</td>

<td>~~perfect~~ 4th

<td>perf 4th

</td>

<td>~~perfect~~ 4th

<td>perf 4th

</td>

</tr>

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<td>Tritone

</td>

<td>Augmented ~~fourth/~~

<td>Augmented 4th,

Diminished ~~fifth~~

Diminished 5th

</td>

<td>aug 4th, dim 5th

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<td>Narrow 5th

</td>

<td>Minor ~~Fifth~~

<td>Minor 5th

</td>

<td>~~perfect~~ 5th

<td>perf 5th

</td>

<td>~~perfect~~ 5th

<td>perf 5th

</td>

</tr>

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Subminor 6th

</td>

<td>Major ~~Fifth~~

<td>Major 5th

</td>

<td>aug 5th, dim 6th

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<td>Minor 6th

</td>

<td>Minor ~~Sixth~~

<td>Minor 6th

</td>

<td>min 6th

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<td>Major 6th

</td>

<td>Major ~~Sixth~~

<td>Major 6th

</td>

<td>maj 6th

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Septimal Minor 7th

</td>

<td>Perfect ~~Seventh~~

<td>Perfect 7th

</td>

<td>min 7th

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<td>Neutral 7th

</td>

<td>Minor ~~Seventh~~

<td>Minor 7th

</td>

<td>maj 7th

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<td>Supermajor 7th

</td>

<td>Major ~~Seventh~~

<td>Major 7th

</td>

<td>aug 7th, dim 8ve

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<td>Octave

</td>

<td>~~perfect~~ 8ve

<td>8ve

</td>

<td>~~perfect~~ 8ve

<td>8ve

</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>2016-12-22 04:13:52 UTC</tt>.<br>
+: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-12-25 19:11:04 UTC</tt>.<br>
-: The original revision id was <tt>602738502</tt>.<br>
+: The original revision id was <tt>602808596</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: @@
 Ratios* || Interval Names
 Just || Interval Names
 Simplified || Interval names
 with major wider
 than minor || Interval names,
 major narrower
 than minor ||
-|| 0 || 0 ||= 1/1 || Unison || Unison || Unison || Unison ||
+|| 0 || 0 ||= 1/1 || Unison || Unison || unison || unison ||
-|| 1 || 75 ||= 28/27, 27/26 || Subminor 2nd || Minor Second || aug 1, dim 2nd || dim 1, aug 2nd ||
+|| 1 || 75 ||= 28/27, 27/26 || Subminor 2nd || Minor 2nd || aug 1, dim 2nd || dim 1, aug 2nd ||
-|| 2 || 150 ||= 12/11, 35/32 || Neutral 2nd || Major Second || min 2nd || maj 2nd ||
+|| 2 || 150 ||= 12/11, 35/32 || Neutral 2nd || Major 2nd || min 2nd || maj 2nd ||
 || 3 || 225 ||= 8/7 || Supermajor 2nd,
-Septimal Whole-Tone || Perfect Second || maj 2nd || min 2nd ||
+Septimal Whole-Tone || Perfect 2nd || maj 2nd || min 2nd ||
-|| 4 || 300 ||= 19/16, 32/27 || Minor 3rd || Minor Third || min 3rd || maj 3rd ||
+|| 4 || 300 ||= 19/16, 32/27 || Minor 3rd || Minor 3rd || min 3rd || maj 3rd ||
-|| 5 || 375 ||= 5/4, 26/21 || Major 3rd || Major Third || maj 3rd || min 3rd ||
+|| 5 || 375 ||= 5/4, 26/21 || Major 3rd || Major 3rd || maj 3rd || min 3rd ||
 || 6 || 450 ||= 13/10, 35/27 || Sub-4th,
-Supermajor 3rd || Minor Fourth || aug 3rd, dim 4th || dim 3rd, aug 4th ||
+Supermajor 3rd || Minor 4th || aug 3rd, dim 4th || dim 3rd, aug 4th ||
-|| 7 || 525 ||= 27/20, 52/35, 256/189 || Wide 4th || Major Fourth || perfect 4th || perfect 4th ||
+|| 7 || 525 ||= 27/20, 52/35, 256/189 || Wide 4th || Major 4th || perf 4th || perf 4th ||
-|| 8 || 600 ||= 7/5, 10/7 || Tritone || Augmented fourth/
+|| 8 || 600 ||= 7/5, 10/7 || Tritone || Augmented 4th,
-Diminished fifth || aug 4th, dim 5th || dim 4th, aug 5th ||
+Diminished 5th || aug 4th, dim 5th || dim 4th, aug 5th ||
-|| 9 || 675 ||= 40/27, 35/26, 189/128 || Narrow 5th || Minor Fifth || perfect 5th || perfect 5th ||
+|| 9 || 675 ||= 40/27, 35/26, 189/128 || Narrow 5th || Minor 5th || perf 5th || perf 5th ||
 || 10 || 750 ||= 20/13, 54/35 || Super-5th,
-Subminor 6th || Major Fifth || aug 5th, dim 6th || dim 5th, aug 6th ||
+Subminor 6th || Major 5th || aug 5th, dim 6th || dim 5th, aug 6th ||
-|| 11 || 825 ||= 8/5, 21/13 || Minor 6th || Minor Sixth || min 6th || maj 6th ||
+|| 11 || 825 ||= 8/5, 21/13 || Minor 6th || Minor 6th || min 6th || maj 6th ||
-|| 12 || 900 ||= 27/16, 32/19 || Major 6th || Major Sixth || maj 6th || min 6th ||
+|| 12 || 900 ||= 27/16, 32/19 || Major 6th || Major 6th || maj 6th || min 6th ||
 || 13 || 975 ||= 7/4 || Subminor 7th,
-Septimal Minor 7th || Perfect Seventh || min 7th || maj 7th ||
+Septimal Minor 7th || Perfect 7th || min 7th || maj 7th ||
-|| 14 || 1050 ||= 11/6, 64/35 || Neutral 7th || Minor Seventh || maj 7th || min 7th ||
+|| 14 || 1050 ||= 11/6, 64/35 || Neutral 7th || Minor 7th || maj 7th || min 7th ||
-|| 15 || 1125 ||= 27/14, 52/27 || Supermajor 7th || Major Seventh || aug 7th, dim 8ve || dim 7th, aug 8ve ||
+|| 15 || 1125 ||= 27/14, 52/27 || Supermajor 7th || Major 7th || aug 7th, dim 8ve || dim 7th, aug 8ve ||
-|| 16 || 1200 ||= 2/1 || Octave || Octave || perfect 8ve || perfect 8ve ||
+|| 16 || 1200 ||= 2/1 || Octave || Octave || 8ve || 8ve ||
 *based on treating 16-EDO as a 2.5.7.13.19.27 subgroup temperament; other approaches are possible.
@@ Line 282: / Line 282: @@
 Simplified&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Interval names &lt;br /&gt;
+         &lt;td&gt;Interval names&lt;br /&gt;
-with major wider &lt;br /&gt;
+with major wider&lt;br /&gt;
 than minor&lt;br /&gt;
 &lt;/td&gt;
@@ Line 302: / Line 302: @@
          &lt;td&gt;Unison&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Unison&lt;br /&gt;
+         &lt;td&gt;unison&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Unison&lt;br /&gt;
+         &lt;td&gt;unison&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 316: / Line 316: @@
          &lt;td&gt;Subminor 2nd&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Minor Second&lt;br /&gt;
+         &lt;td&gt;Minor 2nd&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;aug 1, dim 2nd&lt;br /&gt;
@@ Line 332: / Line 332: @@
          &lt;td&gt;Neutral 2nd&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Major Second&lt;br /&gt;
+         &lt;td&gt;Major 2nd&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;min 2nd&lt;br /&gt;
@@ Line 349: / Line 349: @@
 Septimal Whole-Tone&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Perfect Second&lt;br /&gt;
+         &lt;td&gt;Perfect 2nd&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;maj 2nd&lt;br /&gt;
@@ Line 365: / Line 365: @@
          &lt;td&gt;Minor 3rd&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Minor Third&lt;br /&gt;
+         &lt;td&gt;Minor 3rd&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;min 3rd&lt;br /&gt;
@@ Line 381: / Line 381: @@
          &lt;td&gt;Major 3rd&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Major Third&lt;br /&gt;
+         &lt;td&gt;Major 3rd&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;maj 3rd&lt;br /&gt;
@@ Line 398: / Line 398: @@
 Supermajor 3rd&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Minor Fourth&lt;br /&gt;
+         &lt;td&gt;Minor 4th&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;aug 3rd, dim 4th&lt;br /&gt;
@@ Line 414: / Line 414: @@
          &lt;td&gt;Wide 4th&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Major Fourth&lt;br /&gt;
+         &lt;td&gt;Major 4th&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;perfect 4th&lt;br /&gt;
+         &lt;td&gt;perf 4th&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;perfect 4th&lt;br /&gt;
+         &lt;td&gt;perf 4th&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 430: / Line 430: @@
          &lt;td&gt;Tritone&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Augmented fourth/&lt;br /&gt;
+         &lt;td&gt;Augmented 4th,&lt;br /&gt;
-Diminished fifth&lt;br /&gt;
+Diminished 5th&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;aug 4th, dim 5th&lt;br /&gt;
@@ Line 447: / Line 447: @@
          &lt;td&gt;Narrow 5th&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Minor Fifth&lt;br /&gt;
+         &lt;td&gt;Minor 5th&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;perfect 5th&lt;br /&gt;
+         &lt;td&gt;perf 5th&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;perfect 5th&lt;br /&gt;
+         &lt;td&gt;perf 5th&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 464: / Line 464: @@
 Subminor 6th&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Major Fifth&lt;br /&gt;
+         &lt;td&gt;Major 5th&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;aug 5th, dim 6th&lt;br /&gt;
@@ Line 480: / Line 480: @@
          &lt;td&gt;Minor 6th&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Minor Sixth&lt;br /&gt;
+         &lt;td&gt;Minor 6th&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;min 6th&lt;br /&gt;
@@ Line 496: / Line 496: @@
          &lt;td&gt;Major 6th&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Major Sixth&lt;br /&gt;
+         &lt;td&gt;Major 6th&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;maj 6th&lt;br /&gt;
@@ Line 513: / Line 513: @@
 Septimal Minor 7th&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Perfect Seventh&lt;br /&gt;
+         &lt;td&gt;Perfect 7th&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;min 7th&lt;br /&gt;
@@ Line 529: / Line 529: @@
          &lt;td&gt;Neutral 7th&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Minor Seventh&lt;br /&gt;
+         &lt;td&gt;Minor 7th&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;maj 7th&lt;br /&gt;
@@ Line 545: / Line 545: @@
          &lt;td&gt;Supermajor 7th&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Major Seventh&lt;br /&gt;
+         &lt;td&gt;Major 7th&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;aug 7th, dim 8ve&lt;br /&gt;
@@ Line 563: / Line 563: @@
          &lt;td&gt;Octave&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;perfect 8ve&lt;br /&gt;
+         &lt;td&gt;8ve&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;perfect 8ve&lt;br /&gt;
+         &lt;td&gt;8ve&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;