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- | : 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> | : The original revision id was <tt>392652378</tt>.<br> | ||
: The revision comment was: <tt></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> | 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 | ===Potential for harmony beyond 5-limit=== | ||
Ev is the only "quarter tone", so the only | 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 | ===Potential for harmony beyond 5-limit=== | ||
Bv is the only "quarter tone", so the only | 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 | ===Potential for harmony beyond 5-limit=== | ||
Ev and Bv are both "quarter tones" so | 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 | ===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 | ===Potential for harmony beyond 5-limit=== | ||
=UNDER CONSTRUCTION= | =UNDER CONSTRUCTION= | ||
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D Ev F G A Bb C D<br /> | D Ev F G A Bb C D<br /> | ||
Maqam Bayati and Makam Uşşak can both be identified with maqamic[7] 2|4 b3 b6 (ssLLdLL).<br /> | Maqam Bayati and Makam Uşşak can both be identified with maqamic[7] 2|4 b3 b6 (ssLLdLL).<br /> | ||
<!-- ws:start:WikiTextHeadingRule:36:&lt;h3&gt; --><h3 id="toc18"><a name="Maqamat-Bayati/Uşşak-Potential for | <!-- ws:start:WikiTextHeadingRule:36:&lt;h3&gt; --><h3 id="toc18"><a name="Maqamat-Bayati/Uşşak-Potential for harmony beyond 5-limit"></a><!-- ws:end:WikiTextHeadingRule:36 -->Potential for harmony beyond 5-limit</h3> | ||
Ev is the only &quot;quarter tone&quot;, so the only | Ev is the only &quot;quarter tone&quot;, so the only non-5-limit chords are those that include Ev.<br /> | ||
<ul><li>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)</li><li>Ev is the 11/6 of F, so on F there are interesting chords like 6:9:11 or 6:9:10:11.</li><li>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)</li><li>Ev is the half-diminished fifth of A, so the chords on A are quite dissonant.</li><li>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.</li><li>Ev is the 11/9 of C, so there are neutral chords on C (between major and minor).</li></ul><br /> | <ul><li>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)</li><li>Ev is the 11/6 of F, so on F there are interesting chords like 6:9:11 or 6:9:10:11.</li><li>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)</li><li>Ev is the half-diminished fifth of A, so the chords on A are quite dissonant.</li><li>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.</li><li>Ev is the 11/9 of C, so there are neutral chords on C (between major and minor).</li></ul><br /> | ||
<!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="Maqamat-Hijaz"></a><!-- ws:end:WikiTextHeadingRule:38 -->Hijaz</h2> | <!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="Maqamat-Hijaz"></a><!-- ws:end:WikiTextHeadingRule:38 -->Hijaz</h2> | ||
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D Eb F# G A Bb C D<br /> | D Eb F# G A Bb C D<br /> | ||
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.<br /> | 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.<br /> | ||
<!-- ws:start:WikiTextHeadingRule:40:&lt;h3&gt; --><h3 id="toc20"><a name="Maqamat-Hijaz-Potential for | <!-- ws:start:WikiTextHeadingRule:40:&lt;h3&gt; --><h3 id="toc20"><a name="Maqamat-Hijaz-Potential for harmony beyond 5-limit"></a><!-- ws:end:WikiTextHeadingRule:40 -->Potential for harmony beyond 5-limit</h3> | ||
Bv is the only &quot;quarter tone&quot;, so the only | Bv is the only &quot;quarter tone&quot;, so the only non-5-limit chords are those that include Bv.<br /> | ||
<ul><li>Bv is the 13/8 of D (in mohoho temperament), and there is a 8:10:12:13 chord on D.</li><li>Bv is the half-augmented fifth of Eb, so the chords on Eb are quite dissonant.</li><li>Bv is the half-diminished fourth of F#, which is fairly dissonant (it represents 13/10 in mohoho).</li><li>Bv is the 11/9 of G, so there are neutral chords on G.</li><li>Bv is the 12/11~11/10 of A, and there is a 10:11:12:18 chord on A (no fifth though).</li><li>Bv is the 11/6 of C, so there are 6:9:11 and 6:9:10:11 chords on C.</li></ul><br /> | <ul><li>Bv is the 13/8 of D (in mohoho temperament), and there is a 8:10:12:13 chord on D.</li><li>Bv is the half-augmented fifth of Eb, so the chords on Eb are quite dissonant.</li><li>Bv is the half-diminished fourth of F#, which is fairly dissonant (it represents 13/10 in mohoho).</li><li>Bv is the 11/9 of G, so there are neutral chords on G.</li><li>Bv is the 12/11~11/10 of A, and there is a 10:11:12:18 chord on A (no fifth though).</li><li>Bv is the 11/6 of C, so there are 6:9:11 and 6:9:10:11 chords on C.</li></ul><br /> | ||
<!-- ws:start:WikiTextHeadingRule:42:&lt;h2&gt; --><h2 id="toc21"><a name="Maqamat-Hijaz Kar"></a><!-- ws:end:WikiTextHeadingRule:42 -->Hijaz Kar</h2> | <!-- ws:start:WikiTextHeadingRule:42:&lt;h2&gt; --><h2 id="toc21"><a name="Maqamat-Hijaz Kar"></a><!-- ws:end:WikiTextHeadingRule:42 -->Hijaz Kar</h2> | ||
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C D Ev F G A Bb C<br /> | C D Ev F G A Bb C<br /> | ||
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.<br /> | 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.<br /> | ||
<!-- ws:start:WikiTextHeadingRule:50:&lt;h3&gt; --><h3 id="toc25"><a name="Maqamat-Rast-Potential for | <!-- ws:start:WikiTextHeadingRule:50:&lt;h3&gt; --><h3 id="toc25"><a name="Maqamat-Rast-Potential for harmony beyond 5-limit"></a><!-- ws:end:WikiTextHeadingRule:50 -->Potential for harmony beyond 5-limit</h3> | ||
Ev and Bv are both &quot;quarter tones&quot; so | Ev and Bv are both &quot;quarter tones&quot; so non-5-limit chords could include either of them.<br /> | ||
<ul><li>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.</li><li>Ev is the 12/11~11/10 of D, so there is a nice 10:11:12:15:18 chord on D.</li><li>Ev is the 11/6 of F, so there are 6:9:11 and 6:9:10:11 chords on F.</li><li>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.</li><li>Ev is the half-diminished fifth of A, so chords on A are quite dissonant.</li><li>Ev is the 11/8 of Bb, and there is a complete 8:9:10:11:12(:15) otonality on Bb.</li><li>Chords with Ev and Bv as the root and fifth are very interesting because the root is on a &quot;quarter tone&quot;. There is a neutral triad, and a nice 8:11:12:13 chord on Ev.</li><li>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.</li><li>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.</li><li>Bv is the 11/8 of F, and there is a complete 8:9:10:11:12 otonality on F.</li><li>Bv is the 11/9 of G, so there are neutral chords on G.</li><li>Bv is the 12/11~11/10 of A, and there is a 10:11:12:18 chord on A (no fifth though).</li></ul><br /> | <ul><li>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.</li><li>Ev is the 12/11~11/10 of D, so there is a nice 10:11:12:15:18 chord on D.</li><li>Ev is the 11/6 of F, so there are 6:9:11 and 6:9:10:11 chords on F.</li><li>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.</li><li>Ev is the half-diminished fifth of A, so chords on A are quite dissonant.</li><li>Ev is the 11/8 of Bb, and there is a complete 8:9:10:11:12(:15) otonality on Bb.</li><li>Chords with Ev and Bv as the root and fifth are very interesting because the root is on a &quot;quarter tone&quot;. There is a neutral triad, and a nice 8:11:12:13 chord on Ev.</li><li>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.</li><li>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.</li><li>Bv is the 11/8 of F, and there is a complete 8:9:10:11:12 otonality on F.</li><li>Bv is the 11/9 of G, so there are neutral chords on G.</li><li>Bv is the 12/11~11/10 of A, and there is a 10:11:12:18 chord on A (no fifth though).</li></ul><br /> | ||
<!-- ws:start:WikiTextHeadingRule:52:&lt;h2&gt; --><h2 id="toc26"><a name="Maqamat-Saba"></a><!-- ws:end:WikiTextHeadingRule:52 -->Saba</h2> | <!-- ws:start:WikiTextHeadingRule:52:&lt;h2&gt; --><h2 id="toc26"><a name="Maqamat-Saba"></a><!-- ws:end:WikiTextHeadingRule:52 -->Saba</h2> | ||
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D Ev F Gb A Bb C Db E F<br /> | D Ev F Gb A Bb C Db E F<br /> | ||
This alternate form of Saba &quot;doesn't include the octave of the tonic&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.<br /> | This alternate form of Saba &quot;doesn't include the octave of the tonic&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.<br /> | ||
<!-- ws:start:WikiTextHeadingRule:56:&lt;h3&gt; --><h3 id="toc28"><a name="Maqamat-Saba-Potential for | <!-- ws:start:WikiTextHeadingRule:56:&lt;h3&gt; --><h3 id="toc28"><a name="Maqamat-Saba-Potential for harmony beyond 5-limit"></a><!-- ws:end:WikiTextHeadingRule:56 -->Potential for harmony beyond 5-limit</h3> | ||
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<!-- ws:start:WikiTextHeadingRule:58:&lt;h2&gt; --><h2 id="toc29"><a name="Maqamat-Sikah"></a><!-- ws:end:WikiTextHeadingRule:58 -->Sikah</h2> | <!-- ws:start:WikiTextHeadingRule:58:&lt;h2&gt; --><h2 id="toc29"><a name="Maqamat-Sikah"></a><!-- ws:end:WikiTextHeadingRule:58 -->Sikah</h2> | ||
Ev F G A Bv C D Ev<br /> | Ev F G A Bv C D Ev<br /> | ||
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<br /> | <br /> | ||
Maqam Sikah has by far the largest number of neutral scale degrees relative to the tonic.<br /> | Maqam Sikah has by far the largest number of neutral scale degrees relative to the tonic.<br /> | ||
<!-- ws:start:WikiTextHeadingRule:60:&lt;h3&gt; --><h3 id="toc30"><a name="Maqamat-Sikah-Potential for | <!-- ws:start:WikiTextHeadingRule:60:&lt;h3&gt; --><h3 id="toc30"><a name="Maqamat-Sikah-Potential for harmony beyond 5-limit"></a><!-- ws:end:WikiTextHeadingRule:60 -->Potential for harmony beyond 5-limit</h3> | ||
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<!-- ws:start:WikiTextHeadingRule:62:&lt;h1&gt; --><h1 id="toc31"><a name="UNDER CONSTRUCTION"></a><!-- ws:end:WikiTextHeadingRule:62 -->UNDER CONSTRUCTION</h1> | <!-- ws:start:WikiTextHeadingRule:62:&lt;h1&gt; --><h1 id="toc31"><a name="UNDER CONSTRUCTION"></a><!-- ws:end:WikiTextHeadingRule:62 -->UNDER CONSTRUCTION</h1> | ||
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