Tuning systems for qanun: Difference between revisions
Wikispaces>hstraub **Imported revision 248120457 - Original comment: ** |
Wikispaces>hstraub **Imported revision 248120655 - 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:hstraub|hstraub]] and made on <tt>2011-08-24 07: | : This revision was by author [[User:hstraub|hstraub]] and made on <tt>2011-08-24 07:10:46 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>248120655</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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University. | University. | ||
The tuning tables on this page are specifically designed for the tuning system of the [[qanun]] (see the link for details on the system of tuning and playing a qanun with | The tuning tables on this page are specifically designed for the tuning system of the [[qanun]] (see the link for details on the system of tuning and playing a qanun with mandals/orabs). | ||
The possible pitches of a string obtained via raising/lowering the mandals | The possible pitches of a string obtained via raising/lowering the mandals lie within one [[2187_2048|apotome (2187/2048, 113.7 cents)]]. All systems use 8 mandals, allowing a subdivision of the apotome into 7 parts. | ||
The first rough subdivision of the apotome is always into one [[81_80|syntonic comma (81/80, 21.5 cents)]], one [[25_24|Zarlinian semitone (25/24, 70.7 cents)]] and another syntonic comma. The middle part (25/24, Zarlinian semitone) is then further subdivided into 5 (unequal or equal) parts. The various systems differ mainly in the division of the middle part. | The first rough subdivision of the apotome is always into one [[81_80|syntonic comma (81/80, 21.5 cents)]], one [[25_24|Zarlinian semitone (25/24, 70.7 cents)]] and another syntonic comma. The middle part (25/24, Zarlinian semitone) is then further subdivided into 5 (unequal or equal) parts. The various systems differ mainly in the division of the middle part. | ||
=Explanation of the tuning tables= | =Explanation of the tuning tables= | ||
The whole table covers roughly the range of a fourth (the range where the ajnas - maqam tetrachords - reside). Each row corresponds to one string of the qanun. In the first column stands the basic (relative) tuning of a string while the following columns indicate possible intervals that can be reached via lowering the mandals | The whole table covers roughly the range of a fourth (the range where the ajnas - maqam tetrachords - reside). Each row corresponds to one string of the qanun. In the first column stands the basic (relative) tuning of a string while the following columns indicate possible intervals that can be reached via raising/lowering the mandals. | ||
The first table contains the cent values and the second the just intervals, sometimes differing between ascending and descending ratios. The middle part (which is the one that is mainly varying among the systems) is marked in **bold**. | The first table contains the cent values and the second the just intervals, sometimes differing between ascending and descending ratios. The middle part (which is the one that is mainly varying among the systems) is marked in **bold**. | ||
Any given configuration of mandal | Any given configuration of mandal positions, resulting in a certain set of pitches that can be played at a given time | ||
(base for a maqam tetrachord) is represented by a choice of one cell in each row. | (base for a maqam tetrachord) is represented by a choice of one cell in each row. | ||
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University.<br /> | University.<br /> | ||
<br /> | <br /> | ||
The tuning tables on this page are specifically designed for the tuning system of the <a class="wiki_link" href="/qanun">qanun</a> (see the link for details on the system of tuning and playing a qanun with | The tuning tables on this page are specifically designed for the tuning system of the <a class="wiki_link" href="/qanun">qanun</a> (see the link for details on the system of tuning and playing a qanun with mandals/orabs).<br /> | ||
<br /> | <br /> | ||
The possible pitches of a string obtained via raising/lowering the mandals | The possible pitches of a string obtained via raising/lowering the mandals lie within one <a class="wiki_link" href="/2187_2048">apotome (2187/2048, 113.7 cents)</a>. All systems use 8 mandals, allowing a subdivision of the apotome into 7 parts.<br /> | ||
<br /> | <br /> | ||
The first rough subdivision of the apotome is always into one <a class="wiki_link" href="/81_80">syntonic comma (81/80, 21.5 cents)</a>, one <a class="wiki_link" href="/25_24">Zarlinian semitone (25/24, 70.7 cents)</a> and another syntonic comma. The middle part (25/24, Zarlinian semitone) is then further subdivided into 5 (unequal or equal) parts. The various systems differ mainly in the division of the middle part.<br /> | The first rough subdivision of the apotome is always into one <a class="wiki_link" href="/81_80">syntonic comma (81/80, 21.5 cents)</a>, one <a class="wiki_link" href="/25_24">Zarlinian semitone (25/24, 70.7 cents)</a> and another syntonic comma. The middle part (25/24, Zarlinian semitone) is then further subdivided into 5 (unequal or equal) parts. The various systems differ mainly in the division of the middle part.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Explanation of the tuning tables"></a><!-- ws:end:WikiTextHeadingRule:0 -->Explanation of the tuning tables</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Explanation of the tuning tables"></a><!-- ws:end:WikiTextHeadingRule:0 -->Explanation of the tuning tables</h1> | ||
The whole table covers roughly the range of a fourth (the range where the ajnas - maqam tetrachords - reside). Each row corresponds to one string of the qanun. In the first column stands the basic (relative) tuning of a string while the following columns indicate possible intervals that can be reached via lowering the mandals | The whole table covers roughly the range of a fourth (the range where the ajnas - maqam tetrachords - reside). Each row corresponds to one string of the qanun. In the first column stands the basic (relative) tuning of a string while the following columns indicate possible intervals that can be reached via raising/lowering the mandals.<br /> | ||
<br /> | <br /> | ||
The first table contains the cent values and the second the just intervals, sometimes differing between ascending and descending ratios. The middle part (which is the one that is mainly varying among the systems) is marked in <strong>bold</strong>.<br /> | The first table contains the cent values and the second the just intervals, sometimes differing between ascending and descending ratios. The middle part (which is the one that is mainly varying among the systems) is marked in <strong>bold</strong>.<br /> | ||
<br /> | <br /> | ||
Any given configuration of mandal | Any given configuration of mandal positions, resulting in a certain set of pitches that can be played at a given time<br /> | ||
(base for a maqam tetrachord) is represented by a choice of one cell in each row.<br /> | (base for a maqam tetrachord) is represented by a choice of one cell in each row.<br /> | ||
<br /> | <br /> | ||