Tuning systems for qanun
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<span style="font-size: 150%;">**Tuning systems for the qanun**</span> [[toc]] Julien Jalaleddine Weiss, used with permission. Reference: Pohlit, Stefan. 2011. Julien Jalâl Ed-Dine Weiss – A New Qānūn System: Its Application in the Performance Practice of the Ensemble “Al-Kindi” and in Contemporary Western Music. PhD Thesis, MIAM/Istanbul Technical 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 "mandals/orabs"). The possible pitches of a string obtained via raising/lowering the mandals/orabs 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. =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/orabs. The first table contains the cent values and the second the just intervals, sometimes differing between ascending and descending ratios. Any given configuration of mandal/orab 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. =Older systems= ==First System J.J.Weiss== Subdivision of 25/24 into 65/64 (26 cents), 144/143 (12 cents) and 55/54 (32 cents). 65/64 and 55/54 are each split into two. This gives the following interval positions of the mandals: 22, 13, 13, 12, 16, 16, 22 cents. Luthier: Ejder Gulec Interval Table (cents): || 0 || 22 || 35 || 48 || 60 || 76 || 92 || 114 || || 90 || 112 || 125 || 138 || 150 || 166 || 182 || 204 || || 294 || 316 || 330 || 342 || 354 || 370 || 386 || 408 || || 384 || 406 || 420 || 432 || 444 || 460 || 476 || 498 || || 498 || 520 || 533 || 546 || 558 || 574 || 590 || 612 || Interval table of just intervals (ascending, descending): || 1/1 || 81/80 || 49/48 || 1053/1024 || 729/704 || 2673/2560 || 135/128 || 2187/2048 || || 256/243 || 16/15 || 784/729, 128/119, 43/40 (asc.) 320/297 (desc.) || 13/12 (asc.) 88/81 (desc.) || 12/11 (asc.) 128/117 (desc.) || 11/10, 208/189 (asc.) 54/49 (desc.) || 10/9 || 9/8 || || 32/27 || 6/5 || 98/81 (asc.) 40/33 (desc.) || 39/32 (asc.) XXX || 27/22 (asc.) XXX || 99/80, 26/21 (asc.) XXX || 5/4 || 81/64 || || 8192/6581 || XXX || 25088/19683 || 104/81 || XXX || 176/135 || 320/243 || 4/3 || || XXX || 27/20 || 351/258 || XXX || 243/176 || 891/640 || 45/32 || 729/512 || ==Variant with 128/119== XXX ==Variant with 128/119 ascending/descending== XXX ==Variant with 43/40 ascending/descending== XXX =Newer systems= ==System 2, better suited for ottoman maqams== J.J. Weiss, Qanun no. 9. Luthier: Kenan Ozten. Mandal positions (cents): <span style="color: #00000a; font-family: Tahoma;">22|16|15|12|13|14|22</span> Interval table XXX ==Symmetrical and super-symmetrical models== XXX Characteristics of super-symmetric systems: no difference between ascending and descending ratios. ===Symmetrical model=== J.J. Weiss Advantage: marked contrast between Segah of Ushaq and Segah of arabic Rast. Equal division of 65/54 (320.98 cents) Mandal positions (cents): <span style="font-family: Tahoma;">22|13|13|1</span><span style="color: #00000a; font-family: Tahoma;">8</span><span style="font-family: Tahoma;">|13|13|22</span> Interval table XXX ===Super-symmetrical model=== J.J. Weiss XXX Mandal positions (cents): <span style="font-family: Tahoma;">22|13|13|1</span><span style="color: #00000a; font-family: Tahoma;">8</span><span style="font-family: Tahoma;">|13|13</span><span style="color: #00000a; font-family: Tahoma;">|</span><span style="font-family: Tahoma;">22</span> Interval table XXX ===Unequal division of 65/54=== J.J. Weiss Unequal division of 65/54 (320.98 cents) XXX ===Equal division of the Zarlinian semitone=== J.J. Weiss This is the simplest variant for luthiers... Mandal positions (cents): <span style="color: #00000a; font-family: Tahoma;">22|14|14|14|14|14|22</span> Interval table XXX ===Ascending/descending with 54/49=== J.J. Weiss XXX Mandal positions (cents): <span style="color: #00000a; font-family: Tahoma;">22|14|17|13|13|13|22</span> Interval table XXX ===Ascending/descending with 14/13=== J.J. Weiss <span style="color: #00000a; font-family: Tahoma;">XXX</span> Mandal positions (cents): <span style="color: #00000a; font-family: Tahoma;">22, 16, 13, 12, 13, 16, 22</span> Interval table XXX ===Ascending/descending with 11/10=== J.J. Weiss XXX Mandal positions (cents): <span style="color: #00000a; font-family: Tahoma;">22|16|15|13|13|13|22</span> Interval table XXX ===Ascending/descending with 35/32=== J.J. Weiss XXX ==System Jacques Dudon (2006)== Mandal positions (cents): <span style="color: #00000a; font-family: Tahoma;">21,5 | 14,5 | 14,5 | 14,5 | 15 | 12 | 21,5</span> Interval table XXX ===Arithmetic system=== Mandal positions (cents): <span style="color: #00000a; font-family: Tahoma;">21,5 | 12 | 15 | 14,5 | 14,5 | 14,5 | 21,5 </span> Interval table XXX
Original HTML content:
<html><head><title>tuning systems for qanun</title></head><body><span style="font-size: 150%;"><strong>Tuning systems for the qanun</strong></span><br />
<!-- ws:start:WikiTextTocRule:38:<img id="wikitext@@toc@@normal" class="WikiMedia WikiMediaToc" title="Table of Contents" src="/site/embedthumbnail/toc/normal?w=225&h=100"/> --><div id="toc"><h1 class="nopad">Table of Contents</h1><!-- ws:end:WikiTextTocRule:38 --><!-- ws:start:WikiTextTocRule:39: --><div style="margin-left: 1em;"><a href="#Explanation of the tuning tables">Explanation of the tuning tables</a></div>
<!-- ws:end:WikiTextTocRule:39 --><!-- ws:start:WikiTextTocRule:40: --><div style="margin-left: 1em;"><a href="#Older systems">Older systems</a></div>
<!-- ws:end:WikiTextTocRule:40 --><!-- ws:start:WikiTextTocRule:41: --><div style="margin-left: 2em;"><a href="#Older systems-First System J.J.Weiss">First System J.J.Weiss</a></div>
<!-- ws:end:WikiTextTocRule:41 --><!-- ws:start:WikiTextTocRule:42: --><div style="margin-left: 2em;"><a href="#Older systems-Variant with 128/119">Variant with 128/119</a></div>
<!-- ws:end:WikiTextTocRule:42 --><!-- ws:start:WikiTextTocRule:43: --><div style="margin-left: 2em;"><a href="#Older systems-Variant with 128/119 ascending/descending">Variant with 128/119 ascending/descending</a></div>
<!-- ws:end:WikiTextTocRule:43 --><!-- ws:start:WikiTextTocRule:44: --><div style="margin-left: 2em;"><a href="#Older systems-Variant with 43/40 ascending/descending">Variant with 43/40 ascending/descending</a></div>
<!-- ws:end:WikiTextTocRule:44 --><!-- ws:start:WikiTextTocRule:45: --><div style="margin-left: 1em;"><a href="#Newer systems">Newer systems</a></div>
<!-- ws:end:WikiTextTocRule:45 --><!-- ws:start:WikiTextTocRule:46: --><div style="margin-left: 2em;"><a href="#Newer systems-System 2, better suited for ottoman maqams">System 2, better suited for ottoman maqams</a></div>
<!-- ws:end:WikiTextTocRule:46 --><!-- ws:start:WikiTextTocRule:47: --><div style="margin-left: 2em;"><a href="#Newer systems-Symmetrical and super-symmetrical models">Symmetrical and super-symmetrical models</a></div>
<!-- ws:end:WikiTextTocRule:47 --><!-- ws:start:WikiTextTocRule:48: --><div style="margin-left: 3em;"><a href="#Newer systems-Symmetrical and super-symmetrical models-Symmetrical model">Symmetrical model</a></div>
<!-- ws:end:WikiTextTocRule:48 --><!-- ws:start:WikiTextTocRule:49: --><div style="margin-left: 3em;"><a href="#Newer systems-Symmetrical and super-symmetrical models-Super-symmetrical model">Super-symmetrical model</a></div>
<!-- ws:end:WikiTextTocRule:49 --><!-- ws:start:WikiTextTocRule:50: --><div style="margin-left: 3em;"><a href="#Newer systems-Symmetrical and super-symmetrical models-Unequal division of 65/54">Unequal division of 65/54</a></div>
<!-- ws:end:WikiTextTocRule:50 --><!-- ws:start:WikiTextTocRule:51: --><div style="margin-left: 3em;"><a href="#Newer systems-Symmetrical and super-symmetrical models-Equal division of the Zarlinian semitone">Equal division of the Zarlinian semitone</a></div>
<!-- ws:end:WikiTextTocRule:51 --><!-- ws:start:WikiTextTocRule:52: --><div style="margin-left: 3em;"><a href="#Newer systems-Symmetrical and super-symmetrical models-Ascending/descending with 54/49">Ascending/descending with 54/49</a></div>
<!-- ws:end:WikiTextTocRule:52 --><!-- ws:start:WikiTextTocRule:53: --><div style="margin-left: 3em;"><a href="#Newer systems-Symmetrical and super-symmetrical models-Ascending/descending with 14/13">Ascending/descending with 14/13</a></div>
<!-- ws:end:WikiTextTocRule:53 --><!-- ws:start:WikiTextTocRule:54: --><div style="margin-left: 3em;"><a href="#Newer systems-Symmetrical and super-symmetrical models-Ascending/descending with 11/10">Ascending/descending with 11/10</a></div>
<!-- ws:end:WikiTextTocRule:54 --><!-- ws:start:WikiTextTocRule:55: --><div style="margin-left: 3em;"><a href="#Newer systems-Symmetrical and super-symmetrical models-Ascending/descending with 35/32">Ascending/descending with 35/32</a></div>
<!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --><div style="margin-left: 2em;"><a href="#Newer systems-System Jacques Dudon (2006)">System Jacques Dudon (2006)</a></div>
<!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --><div style="margin-left: 3em;"><a href="#Newer systems-System Jacques Dudon (2006)-Arithmetic system">Arithmetic system</a></div>
<!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --></div>
<!-- ws:end:WikiTextTocRule:58 -->Julien Jalaleddine Weiss, used with permission.<br />
Reference: Pohlit, Stefan. 2011. Julien Jalâl Ed-Dine Weiss – A New Qānūn System: Its Application in the Performance<br />
Practice of the Ensemble “Al-Kindi” and in Contemporary Western Music. PhD Thesis, MIAM/Istanbul Technical<br />
University.<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 "mandals/orabs").<br />
<br />
The possible pitches of a string obtained via raising/lowering the mandals/orabs 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 />
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 />
<!-- ws:start:WikiTextHeadingRule:0:<h1> --><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/orabs.<br />
<br />
The first table contains the cent values and the second the just intervals, sometimes differing between ascending and descending ratios.<br />
<br />
Any given configuration of mandal/orab 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 />
<br />
<!-- ws:start:WikiTextHeadingRule:2:<h1> --><h1 id="toc1"><a name="Older systems"></a><!-- ws:end:WikiTextHeadingRule:2 -->Older systems</h1>
<!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="Older systems-First System J.J.Weiss"></a><!-- ws:end:WikiTextHeadingRule:4 -->First System J.J.Weiss</h2>
Subdivision of 25/24 into 65/64 (26 cents), 144/143 (12 cents) and 55/54 (32 cents).<br />
65/64 and 55/54 are each split into two.<br />
<br />
This gives the following interval positions of the mandals: 22, 13, 13, 12, 16, 16, 22 cents.<br />
Luthier: Ejder Gulec<br />
<br />
Interval Table (cents):<br />
<table class="wiki_table">
<tr>
<td>0<br />
</td>
<td>22<br />
</td>
<td>35<br />
</td>
<td>48<br />
</td>
<td>60<br />
</td>
<td>76<br />
</td>
<td>92<br />
</td>
<td>114<br />
</td>
</tr>
<tr>
<td>90<br />
</td>
<td>112<br />
</td>
<td>125<br />
</td>
<td>138<br />
</td>
<td>150<br />
</td>
<td>166<br />
</td>
<td>182<br />
</td>
<td>204<br />
</td>
</tr>
<tr>
<td>294<br />
</td>
<td>316<br />
</td>
<td>330<br />
</td>
<td>342<br />
</td>
<td>354<br />
</td>
<td>370<br />
</td>
<td>386<br />
</td>
<td>408<br />
</td>
</tr>
<tr>
<td>384<br />
</td>
<td>406<br />
</td>
<td>420<br />
</td>
<td>432<br />
</td>
<td>444<br />
</td>
<td>460<br />
</td>
<td>476<br />
</td>
<td>498<br />
</td>
</tr>
<tr>
<td>498<br />
</td>
<td>520<br />
</td>
<td>533<br />
</td>
<td>546<br />
</td>
<td>558<br />
</td>
<td>574<br />
</td>
<td>590<br />
</td>
<td>612<br />
</td>
</tr>
</table>
<br />
Interval table of just intervals (ascending, descending):<br />
<table class="wiki_table">
<tr>
<td>1/1<br />
</td>
<td>81/80<br />
</td>
<td>49/48<br />
</td>
<td>1053/1024<br />
</td>
<td>729/704<br />
</td>
<td>2673/2560<br />
</td>
<td>135/128<br />
</td>
<td>2187/2048<br />
</td>
</tr>
<tr>
<td>256/243<br />
</td>
<td>16/15<br />
</td>
<td>784/729, 128/119, 43/40 (asc.)<br />
320/297 (desc.)<br />
</td>
<td>13/12 (asc.)<br />
88/81 (desc.)<br />
</td>
<td>12/11 (asc.)<br />
128/117 (desc.)<br />
</td>
<td>11/10, 208/189 (asc.)<br />
54/49 (desc.)<br />
</td>
<td>10/9<br />
</td>
<td>9/8<br />
</td>
</tr>
<tr>
<td>32/27<br />
</td>
<td>6/5<br />
</td>
<td>98/81 (asc.)<br />
40/33 (desc.)<br />
</td>
<td>39/32 (asc.)<br />
XXX<br />
</td>
<td>27/22 (asc.)<br />
XXX<br />
</td>
<td>99/80, 26/21 (asc.)<br />
XXX<br />
</td>
<td>5/4<br />
</td>
<td>81/64<br />
</td>
</tr>
<tr>
<td>8192/6581<br />
</td>
<td>XXX<br />
</td>
<td>25088/19683<br />
</td>
<td>104/81<br />
</td>
<td>XXX<br />
</td>
<td>176/135<br />
</td>
<td>320/243<br />
</td>
<td>4/3<br />
</td>
</tr>
<tr>
<td>XXX<br />
</td>
<td>27/20<br />
</td>
<td>351/258<br />
</td>
<td>XXX<br />
</td>
<td>243/176<br />
</td>
<td>891/640<br />
</td>
<td>45/32<br />
</td>
<td>729/512<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:6:<h2> --><h2 id="toc3"><a name="Older systems-Variant with 128/119"></a><!-- ws:end:WikiTextHeadingRule:6 -->Variant with 128/119</h2>
XXX<br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:<h2> --><h2 id="toc4"><a name="Older systems-Variant with 128/119 ascending/descending"></a><!-- ws:end:WikiTextHeadingRule:8 -->Variant with 128/119 ascending/descending</h2>
XXX<br />
<br />
<!-- ws:start:WikiTextHeadingRule:10:<h2> --><h2 id="toc5"><a name="Older systems-Variant with 43/40 ascending/descending"></a><!-- ws:end:WikiTextHeadingRule:10 -->Variant with 43/40 ascending/descending</h2>
XXX<br />
<br />
<!-- ws:start:WikiTextHeadingRule:12:<h1> --><h1 id="toc6"><a name="Newer systems"></a><!-- ws:end:WikiTextHeadingRule:12 -->Newer systems</h1>
<!-- ws:start:WikiTextHeadingRule:14:<h2> --><h2 id="toc7"><a name="Newer systems-System 2, better suited for ottoman maqams"></a><!-- ws:end:WikiTextHeadingRule:14 -->System 2, better suited for ottoman maqams</h2>
J.J. Weiss, Qanun no. 9. Luthier: Kenan Ozten.<br />
<br />
Mandal positions (cents): <span style="color: #00000a; font-family: Tahoma;">22|16|15|12|13|14|22</span><br />
<br />
Interval table XXX<br />
<br />
<!-- ws:start:WikiTextHeadingRule:16:<h2> --><h2 id="toc8"><a name="Newer systems-Symmetrical and super-symmetrical models"></a><!-- ws:end:WikiTextHeadingRule:16 -->Symmetrical and super-symmetrical models</h2>
XXX<br />
Characteristics of super-symmetric systems: no difference between ascending and descending ratios.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:18:<h3> --><h3 id="toc9"><a name="Newer systems-Symmetrical and super-symmetrical models-Symmetrical model"></a><!-- ws:end:WikiTextHeadingRule:18 -->Symmetrical model</h3>
J.J. Weiss<br />
Advantage: marked contrast between Segah of Ushaq and Segah of arabic Rast.<br />
Equal division of 65/54 (320.98 cents)<br />
<br />
Mandal positions (cents): <span style="font-family: Tahoma;">22|13|13|1</span><span style="color: #00000a; font-family: Tahoma;">8</span><span style="font-family: Tahoma;">|13|13|22</span><br />
<br />
Interval table XXX<br />
<br />
<!-- ws:start:WikiTextHeadingRule:20:<h3> --><h3 id="toc10"><a name="Newer systems-Symmetrical and super-symmetrical models-Super-symmetrical model"></a><!-- ws:end:WikiTextHeadingRule:20 -->Super-symmetrical model</h3>
J.J. Weiss<br />
XXX<br />
<br />
Mandal positions (cents): <span style="font-family: Tahoma;">22|13|13|1</span><span style="color: #00000a; font-family: Tahoma;">8</span><span style="font-family: Tahoma;">|13|13</span><span style="color: #00000a; font-family: Tahoma;">|</span><span style="font-family: Tahoma;">22</span><br />
<br />
Interval table XXX<br />
<br />
<!-- ws:start:WikiTextHeadingRule:22:<h3> --><h3 id="toc11"><a name="Newer systems-Symmetrical and super-symmetrical models-Unequal division of 65/54"></a><!-- ws:end:WikiTextHeadingRule:22 -->Unequal division of 65/54</h3>
J.J. Weiss<br />
Unequal division of 65/54 (320.98 cents)<br />
<br />
XXX<br />
<br />
<!-- ws:start:WikiTextHeadingRule:24:<h3> --><h3 id="toc12"><a name="Newer systems-Symmetrical and super-symmetrical models-Equal division of the Zarlinian semitone"></a><!-- ws:end:WikiTextHeadingRule:24 -->Equal division of the Zarlinian semitone</h3>
J.J. Weiss<br />
This is the simplest variant for luthiers...<br />
<br />
Mandal positions (cents): <span style="color: #00000a; font-family: Tahoma;">22|14|14|14|14|14|22</span><br />
<br />
Interval table XXX<br />
<br />
<!-- ws:start:WikiTextHeadingRule:26:<h3> --><h3 id="toc13"><a name="Newer systems-Symmetrical and super-symmetrical models-Ascending/descending with 54/49"></a><!-- ws:end:WikiTextHeadingRule:26 -->Ascending/descending with 54/49</h3>
J.J. Weiss<br />
XXX<br />
<br />
Mandal positions (cents): <span style="color: #00000a; font-family: Tahoma;">22|14|17|13|13|13|22</span><br />
<br />
Interval table XXX<br />
<br />
<!-- ws:start:WikiTextHeadingRule:28:<h3> --><h3 id="toc14"><a name="Newer systems-Symmetrical and super-symmetrical models-Ascending/descending with 14/13"></a><!-- ws:end:WikiTextHeadingRule:28 -->Ascending/descending with 14/13</h3>
J.J. Weiss<br />
<span style="color: #00000a; font-family: Tahoma;">XXX</span><br />
<br />
Mandal positions (cents): <span style="color: #00000a; font-family: Tahoma;">22, 16, 13, 12, 13, 16, 22</span><br />
<br />
Interval table XXX<br />
<br />
<!-- ws:start:WikiTextHeadingRule:30:<h3> --><h3 id="toc15"><a name="Newer systems-Symmetrical and super-symmetrical models-Ascending/descending with 11/10"></a><!-- ws:end:WikiTextHeadingRule:30 -->Ascending/descending with 11/10</h3>
J.J. Weiss<br />
XXX<br />
<br />
Mandal positions (cents): <span style="color: #00000a; font-family: Tahoma;">22|16|15|13|13|13|22</span><br />
<br />
Interval table XXX<br />
<br />
<!-- ws:start:WikiTextHeadingRule:32:<h3> --><h3 id="toc16"><a name="Newer systems-Symmetrical and super-symmetrical models-Ascending/descending with 35/32"></a><!-- ws:end:WikiTextHeadingRule:32 -->Ascending/descending with 35/32</h3>
J.J. Weiss<br />
XXX<br />
<br />
<!-- ws:start:WikiTextHeadingRule:34:<h2> --><h2 id="toc17"><a name="Newer systems-System Jacques Dudon (2006)"></a><!-- ws:end:WikiTextHeadingRule:34 -->System Jacques Dudon (2006)</h2>
<br />
Mandal positions (cents): <span style="color: #00000a; font-family: Tahoma;">21,5 | 14,5 | 14,5 | 14,5 | 15 | 12 | 21,5</span><br />
<br />
Interval table XXX<br />
<br />
<!-- ws:start:WikiTextHeadingRule:36:<h3> --><h3 id="toc18"><a name="Newer systems-System Jacques Dudon (2006)-Arithmetic system"></a><!-- ws:end:WikiTextHeadingRule:36 -->Arithmetic system</h3>
<br />
Mandal positions (cents): <span style="color: #00000a; font-family: Tahoma;">21,5 | 12 | 15 | 14,5 | 14,5 | 14,5 | 21,5 </span><br />
<br />
<br />
Interval table XXX</body></html>