Maqamat in maqamic temperament: Difference between revisions

Wikispaces>keenanpepper
**Imported revision 392603912 - Original comment: **
Wikispaces>keenanpepper
**Imported revision 392652378 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2012-12-15 16:37:22 UTC</tt>.<br>
: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2012-12-16 01:33:20 UTC</tt>.<br>
: The original revision id was <tt>392603912</tt>.<br>
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The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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D Ev F G A Bb C D
D Ev F G A Bb C D
Maqam Bayati and Makam Uşşak can both be identified with maqamic[7] 2|4 b3 b6 (ssLLdLL).
Maqam Bayati and Makam Uşşak can both be identified with maqamic[7] 2|4 b3 b6 (ssLLdLL).
===Potential for 11-limit harmony===  
===Potential for harmony beyond 5-limit===  
Ev is the only "quarter tone", so the only 11-limit chords are those that include Ev.
Ev is the only "quarter tone", so the only non-5-limit chords are those that include Ev.
* Ev is the 12/11~11/10 of D, so on D there is a nice 10:11:12:15:18 chord (a minor chord where Ev is a neutral second)
* Ev is the 12/11~11/10 of D, so on D there is a nice 10:11:12:15:18 chord (a minor chord where Ev is a neutral second)
* Ev is the 11/6 of F, so on F there are interesting chords like 6:9:11 or 6:9:10:11.
* Ev is the 11/6 of F, so on F there are interesting chords like 6:9:11 or 6:9:10:11.
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D Eb F# G A Bb C D
D Eb F# G A Bb C D
Maqam Hijaz has two forms, one which can be identified with meantone[7] 1|5 #3 (meantone phrygian dominant), and another which differs by having a neutral sixth degree instead of a minor sixth.
Maqam Hijaz has two forms, one which can be identified with meantone[7] 1|5 #3 (meantone phrygian dominant), and another which differs by having a neutral sixth degree instead of a minor sixth.
===Potential for 11-limit harmony===  
===Potential for harmony beyond 5-limit===  
Bv is the only "quarter tone", so the only 11-limit chords are those that include Bv.
Bv is the only "quarter tone", so the only non-5-limit chords are those that include Bv.
* Bv is the 13/8 of D (in mohoho temperament), and there is a 8:10:12:13 chord on D.
* Bv is the 13/8 of D (in mohoho temperament), and there is a 8:10:12:13 chord on D.
* Bv is the half-augmented fifth of Eb, so the chords on Eb are quite dissonant.
* Bv is the half-augmented fifth of Eb, so the chords on Eb are quite dissonant.
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C D Ev F G A Bb C
C D Ev F G A Bb C
Maqam Rast has two forms, one that can be identified with maqamic[7] 2|4 #6 (equivalently maqamic[7] 0|6 b4), and another form with a minor seventh degree rather than a neutral seventh.
Maqam Rast has two forms, one that can be identified with maqamic[7] 2|4 #6 (equivalently maqamic[7] 0|6 b4), and another form with a minor seventh degree rather than a neutral seventh.
===Potential for 11-limit harmony===
===Potential for harmony beyond 5-limit===  
Ev and Bv are both "quarter tones" so 11-limit chords could include either of them.
Ev and Bv are both "quarter tones" so non-5-limit chords could include either of them.
* Ev is the 11/9 of C, so the tonic chord is neutral (neither major nor minor). There is also a neutral seventh chord, C Ev G Bv.
* Ev is the 11/9 of C, so the tonic chord is neutral (neither major nor minor). There is also a neutral seventh chord, C Ev G Bv.
* Ev is the 12/11~11/10 of D, so there is a nice 10:11:12:15:18 chord on D.
* Ev is the 12/11~11/10 of D, so there is a nice 10:11:12:15:18 chord on D.
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D Ev F Gb A Bb C Db E F
D Ev F Gb A Bb C Db E F
This alternate form of Saba "doesn't include the octave of the tonic", and includes another non-octave as well (Ev-E). It could possibly be thought of as a scale with more than 7 notes, but it's unclear to what extent it's used this way in traditional music.
This alternate form of Saba "doesn't include the octave of the tonic", and includes another non-octave as well (Ev-E). It could possibly be thought of as a scale with more than 7 notes, but it's unclear to what extent it's used this way in traditional music.
===Potential for 11-limit harmony===
===Potential for harmony beyond 5-limit===  


==Sikah==  
==Sikah==  
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Maqam Sikah has by far the largest number of neutral scale degrees relative to the tonic.
Maqam Sikah has by far the largest number of neutral scale degrees relative to the tonic.
===Potential for 11-limit harmony===
===Potential for harmony beyond 5-limit===  


=UNDER CONSTRUCTION=  
=UNDER CONSTRUCTION=  
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  D Ev F G A Bb C D&lt;br /&gt;
  D Ev F G A Bb C D&lt;br /&gt;
Maqam Bayati and Makam Uşşak can both be identified with maqamic[7] 2|4 b3 b6 (ssLLdLL).&lt;br /&gt;
Maqam Bayati and Makam Uşşak can both be identified with maqamic[7] 2|4 b3 b6 (ssLLdLL).&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc18"&gt;&lt;a name="Maqamat-Bayati/Uşşak-Potential for 11-limit harmony"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;Potential for 11-limit harmony&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc18"&gt;&lt;a name="Maqamat-Bayati/Uşşak-Potential for harmony beyond 5-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;Potential for harmony beyond 5-limit&lt;/h3&gt;
  Ev is the only &amp;quot;quarter tone&amp;quot;, so the only 11-limit chords are those that include Ev.&lt;br /&gt;
  Ev is the only &amp;quot;quarter tone&amp;quot;, so the only non-5-limit chords are those that include Ev.&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;Ev is the 12/11~11/10 of D, so on D there is a nice 10:11:12:15:18 chord (a minor chord where Ev is a neutral second)&lt;/li&gt;&lt;li&gt;Ev is the 11/6 of F, so on F there are interesting chords like 6:9:11 or 6:9:10:11.&lt;/li&gt;&lt;li&gt;Ev is the 13/8 of G (in mohoho temperament), so on G there is a 8:9:12:13 chord and also the chord G Bb D Ev (minor w/ neutral sixth)&lt;/li&gt;&lt;li&gt;Ev is the half-diminished fifth of A, so the chords on A are quite dissonant.&lt;/li&gt;&lt;li&gt;Ev is the 11/8 of Bb, so on Bb there is a complete 8:9:10:11:12(:15) otonality. Obviously this could be quite a powerful chord.&lt;/li&gt;&lt;li&gt;Ev is the 11/9 of C, so there are neutral chords on C (between major and minor).&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;Ev is the 12/11~11/10 of D, so on D there is a nice 10:11:12:15:18 chord (a minor chord where Ev is a neutral second)&lt;/li&gt;&lt;li&gt;Ev is the 11/6 of F, so on F there are interesting chords like 6:9:11 or 6:9:10:11.&lt;/li&gt;&lt;li&gt;Ev is the 13/8 of G (in mohoho temperament), so on G there is a 8:9:12:13 chord and also the chord G Bb D Ev (minor w/ neutral sixth)&lt;/li&gt;&lt;li&gt;Ev is the half-diminished fifth of A, so the chords on A are quite dissonant.&lt;/li&gt;&lt;li&gt;Ev is the 11/8 of Bb, so on Bb there is a complete 8:9:10:11:12(:15) otonality. Obviously this could be quite a powerful chord.&lt;/li&gt;&lt;li&gt;Ev is the 11/9 of C, so there are neutral chords on C (between major and minor).&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc19"&gt;&lt;a name="Maqamat-Hijaz"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;Hijaz&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc19"&gt;&lt;a name="Maqamat-Hijaz"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;Hijaz&lt;/h2&gt;
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D Eb F# G A Bb C D&lt;br /&gt;
D Eb F# G A Bb C D&lt;br /&gt;
Maqam Hijaz has two forms, one which can be identified with meantone[7] 1|5 #3 (meantone phrygian dominant), and another which differs by having a neutral sixth degree instead of a minor sixth.&lt;br /&gt;
Maqam Hijaz has two forms, one which can be identified with meantone[7] 1|5 #3 (meantone phrygian dominant), and another which differs by having a neutral sixth degree instead of a minor sixth.&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:40:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc20"&gt;&lt;a name="Maqamat-Hijaz-Potential for 11-limit harmony"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:40 --&gt;Potential for 11-limit harmony&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:40:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc20"&gt;&lt;a name="Maqamat-Hijaz-Potential for harmony beyond 5-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:40 --&gt;Potential for harmony beyond 5-limit&lt;/h3&gt;
  Bv is the only &amp;quot;quarter tone&amp;quot;, so the only 11-limit chords are those that include Bv.&lt;br /&gt;
  Bv is the only &amp;quot;quarter tone&amp;quot;, so the only non-5-limit chords are those that include Bv.&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;Bv is the 13/8 of D (in mohoho temperament), and there is a 8:10:12:13 chord on D.&lt;/li&gt;&lt;li&gt;Bv is the half-augmented fifth of Eb, so the chords on Eb are quite dissonant.&lt;/li&gt;&lt;li&gt;Bv is the half-diminished fourth of F#, which is fairly dissonant (it represents 13/10 in mohoho).&lt;/li&gt;&lt;li&gt;Bv is the 11/9 of G, so there are neutral chords on G.&lt;/li&gt;&lt;li&gt;Bv is the 12/11~11/10 of A, and there is a 10:11:12:18 chord on A (no fifth though).&lt;/li&gt;&lt;li&gt;Bv is the 11/6 of C, so there are 6:9:11 and 6:9:10:11 chords on C.&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;Bv is the 13/8 of D (in mohoho temperament), and there is a 8:10:12:13 chord on D.&lt;/li&gt;&lt;li&gt;Bv is the half-augmented fifth of Eb, so the chords on Eb are quite dissonant.&lt;/li&gt;&lt;li&gt;Bv is the half-diminished fourth of F#, which is fairly dissonant (it represents 13/10 in mohoho).&lt;/li&gt;&lt;li&gt;Bv is the 11/9 of G, so there are neutral chords on G.&lt;/li&gt;&lt;li&gt;Bv is the 12/11~11/10 of A, and there is a 10:11:12:18 chord on A (no fifth though).&lt;/li&gt;&lt;li&gt;Bv is the 11/6 of C, so there are 6:9:11 and 6:9:10:11 chords on C.&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:42:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc21"&gt;&lt;a name="Maqamat-Hijaz Kar"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:42 --&gt;Hijaz Kar&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:42:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc21"&gt;&lt;a name="Maqamat-Hijaz Kar"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:42 --&gt;Hijaz Kar&lt;/h2&gt;
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C D Ev F G A Bb C&lt;br /&gt;
C D Ev F G A Bb C&lt;br /&gt;
Maqam Rast has two forms, one that can be identified with maqamic[7] 2|4 #6 (equivalently maqamic[7] 0|6 b4), and another form with a minor seventh degree rather than a neutral seventh.&lt;br /&gt;
Maqam Rast has two forms, one that can be identified with maqamic[7] 2|4 #6 (equivalently maqamic[7] 0|6 b4), and another form with a minor seventh degree rather than a neutral seventh.&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:50:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc25"&gt;&lt;a name="Maqamat-Rast-Potential for 11-limit harmony"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:50 --&gt;Potential for 11-limit harmony&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:50:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc25"&gt;&lt;a name="Maqamat-Rast-Potential for harmony beyond 5-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:50 --&gt;Potential for harmony beyond 5-limit&lt;/h3&gt;
Ev and Bv are both &amp;quot;quarter tones&amp;quot; so 11-limit chords could include either of them.&lt;br /&gt;
Ev and Bv are both &amp;quot;quarter tones&amp;quot; so non-5-limit chords could include either of them.&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;Ev is the 11/9 of C, so the tonic chord is neutral (neither major nor minor). There is also a neutral seventh chord, C Ev G Bv.&lt;/li&gt;&lt;li&gt;Ev is the 12/11~11/10 of D, so there is a nice 10:11:12:15:18 chord on D.&lt;/li&gt;&lt;li&gt;Ev is the 11/6 of F, so there are 6:9:11 and 6:9:10:11 chords on F.&lt;/li&gt;&lt;li&gt;Ev is the 13/8 of G (in mohoho temperament), and there is a 8:9:12:13 chord on G. There is also a neutral sixth chord, G Bv D Ev.&lt;/li&gt;&lt;li&gt;Ev is the half-diminished fifth of A, so chords on A are quite dissonant.&lt;/li&gt;&lt;li&gt;Ev is the 11/8 of Bb, and there is a complete 8:9:10:11:12(:15) otonality on Bb.&lt;/li&gt;&lt;li&gt;Chords with Ev and Bv as the root and fifth are very interesting because the root is on a &amp;quot;quarter tone&amp;quot;. There is a neutral triad, and a nice 8:11:12:13 chord on Ev.&lt;/li&gt;&lt;li&gt;Bv is the 11/6 of C, and there are 6:9:11 and 6:9:10:11 chords on C as well as the neutral seventh chord.&lt;/li&gt;&lt;li&gt;Bv is the 13/8 of D (in mohoho temperament) and there is a 8:12:13 chord on D as well as D F A Bv which is a minor w/ neutral sixth.&lt;/li&gt;&lt;li&gt;Bv is the 11/8 of F, and there is a complete 8:9:10:11:12 otonality on F.&lt;/li&gt;&lt;li&gt;Bv is the 11/9 of G, so there are neutral chords on G.&lt;/li&gt;&lt;li&gt;Bv is the 12/11~11/10 of A, and there is a 10:11:12:18 chord on A (no fifth though).&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;Ev is the 11/9 of C, so the tonic chord is neutral (neither major nor minor). There is also a neutral seventh chord, C Ev G Bv.&lt;/li&gt;&lt;li&gt;Ev is the 12/11~11/10 of D, so there is a nice 10:11:12:15:18 chord on D.&lt;/li&gt;&lt;li&gt;Ev is the 11/6 of F, so there are 6:9:11 and 6:9:10:11 chords on F.&lt;/li&gt;&lt;li&gt;Ev is the 13/8 of G (in mohoho temperament), and there is a 8:9:12:13 chord on G. There is also a neutral sixth chord, G Bv D Ev.&lt;/li&gt;&lt;li&gt;Ev is the half-diminished fifth of A, so chords on A are quite dissonant.&lt;/li&gt;&lt;li&gt;Ev is the 11/8 of Bb, and there is a complete 8:9:10:11:12(:15) otonality on Bb.&lt;/li&gt;&lt;li&gt;Chords with Ev and Bv as the root and fifth are very interesting because the root is on a &amp;quot;quarter tone&amp;quot;. There is a neutral triad, and a nice 8:11:12:13 chord on Ev.&lt;/li&gt;&lt;li&gt;Bv is the 11/6 of C, and there are 6:9:11 and 6:9:10:11 chords on C as well as the neutral seventh chord.&lt;/li&gt;&lt;li&gt;Bv is the 13/8 of D (in mohoho temperament) and there is a 8:12:13 chord on D as well as D F A Bv which is a minor w/ neutral sixth.&lt;/li&gt;&lt;li&gt;Bv is the 11/8 of F, and there is a complete 8:9:10:11:12 otonality on F.&lt;/li&gt;&lt;li&gt;Bv is the 11/9 of G, so there are neutral chords on G.&lt;/li&gt;&lt;li&gt;Bv is the 12/11~11/10 of A, and there is a 10:11:12:18 chord on A (no fifth though).&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:52:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc26"&gt;&lt;a name="Maqamat-Saba"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:52 --&gt;Saba&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:52:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc26"&gt;&lt;a name="Maqamat-Saba"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:52 --&gt;Saba&lt;/h2&gt;
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  D Ev F Gb A Bb C Db E F&lt;br /&gt;
  D Ev F Gb A Bb C Db E F&lt;br /&gt;
This alternate form of Saba &amp;quot;doesn't include the octave of the tonic&amp;quot;, and includes another non-octave as well (Ev-E). It could possibly be thought of as a scale with more than 7 notes, but it's unclear to what extent it's used this way in traditional music.&lt;br /&gt;
This alternate form of Saba &amp;quot;doesn't include the octave of the tonic&amp;quot;, and includes another non-octave as well (Ev-E). It could possibly be thought of as a scale with more than 7 notes, but it's unclear to what extent it's used this way in traditional music.&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:56:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc28"&gt;&lt;a name="Maqamat-Saba-Potential for 11-limit harmony"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:56 --&gt;Potential for 11-limit harmony&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:56:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc28"&gt;&lt;a name="Maqamat-Saba-Potential for harmony beyond 5-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:56 --&gt;Potential for harmony beyond 5-limit&lt;/h3&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:58:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc29"&gt;&lt;a name="Maqamat-Sikah"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:58 --&gt;Sikah&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:58:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc29"&gt;&lt;a name="Maqamat-Sikah"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:58 --&gt;Sikah&lt;/h2&gt;
  Ev F G A Bv C D Ev&lt;br /&gt;
  Ev F G A Bv C D Ev&lt;br /&gt;
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&lt;br /&gt;
&lt;br /&gt;
Maqam Sikah has by far the largest number of neutral scale degrees relative to the tonic.&lt;br /&gt;
Maqam Sikah has by far the largest number of neutral scale degrees relative to the tonic.&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:60:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc30"&gt;&lt;a name="Maqamat-Sikah-Potential for 11-limit harmony"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:60 --&gt;Potential for 11-limit harmony&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:60:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc30"&gt;&lt;a name="Maqamat-Sikah-Potential for harmony beyond 5-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:60 --&gt;Potential for harmony beyond 5-limit&lt;/h3&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:62:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc31"&gt;&lt;a name="UNDER CONSTRUCTION"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:62 --&gt;UNDER CONSTRUCTION&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:62:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc31"&gt;&lt;a name="UNDER CONSTRUCTION"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:62 --&gt;UNDER CONSTRUCTION&lt;/h1&gt;
  &lt;br /&gt;
  &lt;br /&gt;