5edo
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[[toc|flat]] ---- =5 Equal Divisions of the Octave: Theory= ==="equal pentatonic"=== 5-edo divides the 1200-[[cent]] octave into 5 equal parts, making its smallest interval exactly 240 [[cent]], or the fifth root of 2. 5-edo is the smallest [[edo]] containing xenharmonic intervals! (1edo 2edo 3edo 4edo are all subsets of 12edo) ==Intervals in 5-edo== || **Interval,** **in fifths of** **an octave** || **Interval** **in ¢** || **Closest** **diatonic** **interval name** || **The "neighborhood" of just intervals** || || 0 || 0.0 || unison / prime || exactly 1/1 || || 1 || 240.0 || second / third || +8.826 c from septimal second 8/7 -4.969 c from diminished third 144/125 -13.076 c from augmented second 125/108 -26.871 c from septimal minor third 7/6 || || 2 || 480.0 || fourth || +9.219 c from narrow fourth 21/16 -0.686 c from smaller fourth 33/25 -18.045 c from just fourth 4/3 || || 3 || 720.0 || fifth || +18.045 c from just fifth 3/2 +0.686 c from bigger fifth 50/33 -9.219 c from wide fifth 32/21 || || 4 || 960.0 || sixth, seventh || 26.871 c from septimal major sixth 12/7 13.076 c from diminished seventh 216/125 4.969 c from augmented sixth 125/72 -8.826 c from septimal seventh 7/4 || || 5 || 1200.0 || eighth || exactly 2/1 || ==Related scales== * By its cardinality, 5-edo is related to other [[pentatonic]] scales, and it is especially close in sound to many Indonesian [[slendro|slendros]]. * Due to the interest around the "fifth" interval size, there are many [[nonoctave]] "stretch sisters" to 5-edo: square root of 4/3, cube root of 3/2, 8th root of 3, etc. * For the same reason there are many "circle sisters": ** Make a chain of five "bigger fifths" (50/33), which makes three octaves 3.227¢ flat. (50/33)^5=7.985099. ==As a temperament== If 5-edo is regarded as a temperament, which is to say as 5-et, then the most salient fact is that 16/15 is tempered out. This means in 5-et the major third and the fourth, and the minor sixth and the fifth, are not distinguished; this is 5-limit [[Trienstonic clan|father temperament]]. This is at the very edge what can sensibly be called temperament, but it does make sense and can be used. Also tempered out is 27/25, if we temper this out in preference to 16/15 we obtain [[Bug family|bug temperament]], which equates 10/9 with 6/5: it is a little more perverse even than father. Because these intervals are so large, this sort of analysis is less significant with 5 than it becomes with larger and more accurate divisions, but it still plays a role. For example, I-IV-V-I is the same as 1-III-V-I and involves triads with common intervals because of fourth-thirds equivalence. Despite its lack of accuracy, 5EDO is the second Zeta function integral tuning, after 2EDO. See http://www.research.att.com/~njas/sequences/A117538 ==Cycles, Divisions== 5 is a prime number so 5-edo contains no sub-edos. Only simple cycles: Cycle of seconds: 0-1-2-3-4-0 Cycle of fourths: 0-2-4-1-3-0 Cycle of fifths: 0-3-1-4-2-0 Cycle of sevenths: 0-4-3-2-1-0 =5-edo in Musicmaking= == == ==**Compositions**, improvisations== * Brian McLaren: various and sundry * [[http://www.io.com/%7Ehmiller/|Herman Miller]]: //[[http://micro.soonlabel.com/herman_miller/Daybreak.mp3|Daybreak on Slendro Mountain]]// (2000) * Paul Rubenstein: various, with electric guitars in 10- and 15-edo * Aaron K. Johnson: //[[http://www.akjmusic.com/audio/5tet_funk.mp3|5tet funk]]// (2004) * Bill Sethares: //5-tet funk// (2004), //Pentacle// (2004) * X.J.Scott: //Sleeping Through It All// (2004) * [[http://www.soundclick.com/bands/page_songInfo.cfm?bandID=122613&songID=1519939|Andrew Heathwaite: //Pinta Penta// (2004)]] (rendered in 6 alternative pentatonics as well) * [[Hans Straub]]: [[http://home.datacomm.ch/straub/mamuth/5tet_e.html#asimchomsaia|Asîmchômsaia]] * [[Brian Wong]]: [[http://bwong.ca/template1.php?sub=3|Slendronica#1b]] ==Notation== * via Reinhard's cents notation * Sagittal: naturals on a five-line staff, with enharmonics (used interchangably) E=F and B=C * a four-line hybrid treble/bass staff. ==Harmony== Scale does not have any strong consonance nor dissonance. Interval 240,000 c can serve as major second or minor third. Interval 960,000 c can serve as major sixth or minor seventh. Fourth is about 18 c flat than just fourth, it is rather "dirty"but recognizable. Fifth is about 18 c sharp than just fifth, it is more dissonant than the fourth but still easily recognizable. Important chords: 0+1+3 0+2+3 0+1+3+4 0+2+3+4 ==Melody== First from edos which can be use for melodies in "standard" way. Relatively large step of 240.00 c can be used as major second for the melody construction. The scale has whole-tone as well as pentatonic character. ==Chord or scale?== Either way, it is hard to wander very far from where you start. However, it has the scale-like feature that there are (barely) enough notes to create melody, in the form of an equal version of pentatonic. ==Commas Tempered== 5-EDO tempers out the following commas. (Note: This assumes the val < 5 8 12 14 17 19 |.) ||~ Comma ||~ Value (cents) ||~ Name ||~ Second Name ||~ Third Name ||~ Val || ||= 256/243 ||> 90.225 || Limma || Pythagorean Minor 2nd || || | 8 -5 > || ||= 81/80 ||> 21.506 || Syntonic Comma || Didymos Comma || Meantone Comma || | -4 4 -1 > || ||= 2889416/2882415 ||> 4.200 || Vulture || || || | 24 -21 4 > || ||= 36/35 ||> 48.770 || Septimal Quarter Tone || || || | 2 2 -1 -1 > || ||= 49/48 ||> 35.697 || Slendro Diesis || || || | -4 -1 0 2 > || ||= 64/63 ||> 27.264 || Septimal Comma || Archytas' Comma || Leipziger Komma || | 6 -2 0 -1 > || ||= 245/243 ||> 14.191 || Sensamagic || || || | 0 -5 1 2 > || ||= 1728/1715 ||> 13.074 || Orwellisma || Orwell Comma || || | 6 3 -1 -3 > || ||= 1029/1024 ||> 8.433 || Gamelisma || || || | -10 1 0 3 > || ||= 19683/19600 ||> 7.316 || Cataharry || || || | -4 9 -2 -2 > || ||= 5120/5103 ||> 5.758 || Hemifamity || || || | 10 -6 1 -1 > || ||= 1065875/1063543 ||> 3.792 || Wadisma || || || | -26 -1 1 9 > || ||= 420175/419904 ||> 1.117 || Wizma || || || | -6 -8 2 5 > || ||= 99/98 ||> 17.576 || Mothwellsma || || || | -1 2 0 -2 1 > || ||= 896/891 ||> 9.688 || Pentacircle || || || | 7 -4 0 1 -1 > || ||= 385/384 ||> 4.503 || Keenanisma || || || | -7 -1 1 1 1 > || ||= 441/440 ||> 3.930 || Werckisma || || || | -3 2 -1 2 -1 > || ||= 3025/3024 ||> 0.572 || Lehmerisma || || || | -4 -3 2 -1 2 > || ||= 91/90 ||> 19.130 || Superleap || || || | -1 -2 -1 1 0 1 > || ||= 676/675 ||> 2.563 || Parizeksma || || || | 2 -3 -2 0 0 2 > || || ||
Original HTML content:
<html><head><title>5edo</title></head><body><!-- ws:start:WikiTextTocRule:28:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- ws:end:WikiTextTocRule:28 --><!-- ws:start:WikiTextTocRule:29: --><a href="#x5 Equal Divisions of the Octave: Theory">5 Equal Divisions of the Octave: Theory</a><!-- ws:end:WikiTextTocRule:29 --><!-- ws:start:WikiTextTocRule:30: --><!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --><!-- ws:end:WikiTextTocRule:31 --><!-- ws:start:WikiTextTocRule:32: --><!-- ws:end:WikiTextTocRule:32 --><!-- ws:start:WikiTextTocRule:33: --><!-- ws:end:WikiTextTocRule:33 --><!-- ws:start:WikiTextTocRule:34: --><!-- ws:end:WikiTextTocRule:34 --><!-- ws:start:WikiTextTocRule:35: --> | <a href="#x5-edo in Musicmaking">5-edo in Musicmaking</a><!-- ws:end:WikiTextTocRule:35 --><!-- ws:start:WikiTextTocRule:36: --><!-- ws:end:WikiTextTocRule:36 --><!-- ws:start:WikiTextTocRule:37: --><!-- ws:end:WikiTextTocRule:37 --><!-- ws:start:WikiTextTocRule:38: --><!-- ws:end:WikiTextTocRule:38 --><!-- ws:start:WikiTextTocRule:39: --><!-- ws:end:WikiTextTocRule:39 --><!-- ws:start:WikiTextTocRule:40: --><!-- ws:end:WikiTextTocRule:40 --><!-- ws:start:WikiTextTocRule:41: --><!-- ws:end:WikiTextTocRule:41 --><!-- ws:start:WikiTextTocRule:42: --><!-- ws:end:WikiTextTocRule:42 --><!-- ws:start:WikiTextTocRule:43: -->
<!-- ws:end:WikiTextTocRule:43 --><hr />
<br />
<!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="x5 Equal Divisions of the Octave: Theory"></a><!-- ws:end:WikiTextHeadingRule:0 -->5 Equal Divisions of the Octave: Theory</h1>
<!-- ws:start:WikiTextHeadingRule:2:<h3> --><h3 id="toc1"><a name="x5 Equal Divisions of the Octave: Theory--"equal pentatonic""></a><!-- ws:end:WikiTextHeadingRule:2 -->"equal pentatonic"</h3>
<br />
5-edo divides the 1200-<a class="wiki_link" href="/cent">cent</a> octave into 5 equal parts, making its smallest interval exactly 240 <a class="wiki_link" href="/cent">cent</a>, or the fifth root of 2.<br />
<br />
5-edo is the smallest <a class="wiki_link" href="/edo">edo</a> containing xenharmonic intervals! (1edo 2edo 3edo 4edo are all subsets of 12edo)<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="x5 Equal Divisions of the Octave: Theory-Intervals in 5-edo"></a><!-- ws:end:WikiTextHeadingRule:4 -->Intervals in 5-edo</h2>
<table class="wiki_table">
<tr>
<td><strong>Interval,</strong><br />
<strong>in fifths of</strong><br />
<strong>an octave</strong><br />
</td>
<td><strong>Interval</strong><br />
<strong>in ¢</strong><br />
</td>
<td><strong>Closest</strong><br />
<strong>diatonic</strong><br />
<strong>interval name</strong><br />
</td>
<td><strong>The "neighborhood" of just intervals</strong><br />
</td>
</tr>
<tr>
<td>0<br />
</td>
<td>0.0<br />
</td>
<td>unison / prime<br />
</td>
<td>exactly 1/1<br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>240.0<br />
</td>
<td>second / third<br />
</td>
<td>+8.826 c from septimal second 8/7<br />
-4.969 c from diminished third 144/125<br />
-13.076 c from augmented second 125/108<br />
-26.871 c from septimal minor third 7/6<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td>480.0<br />
</td>
<td>fourth<br />
</td>
<td>+9.219 c from narrow fourth 21/16<br />
-0.686 c from smaller fourth 33/25<br />
-18.045 c from just fourth 4/3<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td>720.0<br />
</td>
<td>fifth<br />
</td>
<td>+18.045 c from just fifth 3/2<br />
+0.686 c from bigger fifth 50/33<br />
-9.219 c from wide fifth 32/21<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td>960.0<br />
</td>
<td>sixth, seventh<br />
</td>
<td>26.871 c from septimal major sixth 12/7<br />
13.076 c from diminished seventh 216/125<br />
4.969 c from augmented sixth 125/72<br />
-8.826 c from septimal seventh 7/4<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td>1200.0<br />
</td>
<td>eighth<br />
</td>
<td>exactly 2/1<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:6:<h2> --><h2 id="toc3"><a name="x5 Equal Divisions of the Octave: Theory-Related scales"></a><!-- ws:end:WikiTextHeadingRule:6 -->Related scales</h2>
<ul><li>By its cardinality, 5-edo is related to other <a class="wiki_link" href="/pentatonic">pentatonic</a> scales, and it is especially close in sound to many Indonesian <a class="wiki_link" href="/slendro">slendros</a>.</li><li>Due to the interest around the "fifth" interval size, there are many <a class="wiki_link" href="/nonoctave">nonoctave</a> "stretch sisters" to 5-edo: square root of 4/3, cube root of 3/2, 8th root of 3, etc.</li><li>For the same reason there are many "circle sisters":<ul><li>Make a chain of five "bigger fifths" (50/33), which makes three octaves 3.227¢ flat. (50/33)^5=7.985099.</li></ul></li></ul><br />
<!-- ws:start:WikiTextHeadingRule:8:<h2> --><h2 id="toc4"><a name="x5 Equal Divisions of the Octave: Theory-As a temperament"></a><!-- ws:end:WikiTextHeadingRule:8 -->As a temperament</h2>
If 5-edo is regarded as a temperament, which is to say as 5-et, then the most salient fact is that 16/15 is tempered out. This means in 5-et the major third and the fourth, and the minor sixth and the fifth, are not distinguished; this is 5-limit <a class="wiki_link" href="/Trienstonic%20clan">father temperament</a>. This is at the very edge what can sensibly be called temperament, but it does make sense and can be used.<br />
<br />
Also tempered out is 27/25, if we temper this out in preference to 16/15 we obtain <a class="wiki_link" href="/Bug%20family">bug temperament</a>, which equates 10/9 with 6/5: it is a little more perverse even than father. Because these intervals are so large, this sort of analysis is less significant with 5 than it becomes with larger and more accurate divisions, but it still plays a role. For example, I-IV-V-I is the same as 1-III-V-I and involves triads with common intervals because of fourth-thirds equivalence.<br />
<br />
Despite its lack of accuracy, 5EDO is the second Zeta function integral tuning, after 2EDO. See <!-- ws:start:WikiTextUrlRule:683:http://www.research.att.com/~njas/sequences/A117538 --><a class="wiki_link_ext" href="http://www.research.att.com/~njas/sequences/A117538" rel="nofollow">http://www.research.att.com/~njas/sequences/A117538</a><!-- ws:end:WikiTextUrlRule:683 --><br />
<br />
<!-- ws:start:WikiTextHeadingRule:10:<h2> --><h2 id="toc5"><a name="x5 Equal Divisions of the Octave: Theory-Cycles, Divisions"></a><!-- ws:end:WikiTextHeadingRule:10 -->Cycles, Divisions</h2>
5 is a prime number so 5-edo contains no sub-edos. Only simple cycles:<br />
Cycle of seconds: 0-1-2-3-4-0<br />
Cycle of fourths: 0-2-4-1-3-0<br />
Cycle of fifths: 0-3-1-4-2-0<br />
Cycle of sevenths: 0-4-3-2-1-0<br />
<br />
<br />
<!-- ws:start:WikiTextHeadingRule:12:<h1> --><h1 id="toc6"><a name="x5-edo in Musicmaking"></a><!-- ws:end:WikiTextHeadingRule:12 -->5-edo in Musicmaking</h1>
<!-- ws:start:WikiTextHeadingRule:14:<h2> --><h2 id="toc7"><!-- ws:end:WikiTextHeadingRule:14 --> </h2>
<!-- ws:start:WikiTextHeadingRule:16:<h2> --><h2 id="toc8"><a name="x5-edo in Musicmaking-Compositions, improvisations"></a><!-- ws:end:WikiTextHeadingRule:16 --><strong>Compositions</strong>, improvisations</h2>
<ul><li>Brian McLaren: various and sundry</li><li><a class="wiki_link_ext" href="http://www.io.com/%7Ehmiller/" rel="nofollow">Herman Miller</a>: <em><a class="wiki_link_ext" href="http://micro.soonlabel.com/herman_miller/Daybreak.mp3" rel="nofollow">Daybreak on Slendro Mountain</a></em> (2000)</li><li>Paul Rubenstein: various, with electric guitars in 10- and 15-edo</li><li>Aaron K. Johnson: <em><a class="wiki_link_ext" href="http://www.akjmusic.com/audio/5tet_funk.mp3" rel="nofollow">5tet funk</a></em> (2004)</li><li>Bill Sethares: <em>5-tet funk</em> (2004), <em>Pentacle</em> (2004)</li><li>X.J.Scott: <em>Sleeping Through It All</em> (2004)</li><li><a class="wiki_link_ext" href="http://www.soundclick.com/bands/page_songInfo.cfm?bandID=122613&songID=1519939" rel="nofollow">Andrew Heathwaite: //Pinta Penta// (2004)</a> (rendered in 6 alternative pentatonics as well)</li><li><a class="wiki_link" href="/Hans%20Straub">Hans Straub</a>: <a class="wiki_link_ext" href="http://home.datacomm.ch/straub/mamuth/5tet_e.html#asimchomsaia" rel="nofollow">Asîmchômsaia</a></li><li><a class="wiki_link" href="/Brian%20Wong">Brian Wong</a>: <a class="wiki_link_ext" href="http://bwong.ca/template1.php?sub=3" rel="nofollow">Slendronica#1b</a></li></ul><br />
<!-- ws:start:WikiTextHeadingRule:18:<h2> --><h2 id="toc9"><a name="x5-edo in Musicmaking-Notation"></a><!-- ws:end:WikiTextHeadingRule:18 -->Notation</h2>
<ul><li>via Reinhard's cents notation</li><li>Sagittal: naturals on a five-line staff, with enharmonics (used interchangably) E=F and B=C</li><li>a four-line hybrid treble/bass staff.</li></ul><br />
<!-- ws:start:WikiTextHeadingRule:20:<h2> --><h2 id="toc10"><a name="x5-edo in Musicmaking-Harmony"></a><!-- ws:end:WikiTextHeadingRule:20 -->Harmony</h2>
Scale does not have any strong consonance nor dissonance. Interval 240,000 c can serve as major second or minor third. Interval 960,000 c can serve as major sixth or minor seventh. Fourth is about 18 c flat than just fourth, it is rather "dirty"but recognizable. Fifth is about 18 c sharp than just fifth, it is more dissonant than the fourth but still easily recognizable.<br />
<br />
Important chords:<br />
0+1+3<br />
0+2+3<br />
0+1+3+4<br />
0+2+3+4<br />
<br />
<!-- ws:start:WikiTextHeadingRule:22:<h2> --><h2 id="toc11"><a name="x5-edo in Musicmaking-Melody"></a><!-- ws:end:WikiTextHeadingRule:22 -->Melody</h2>
First from edos which can be use for melodies in "standard" way. Relatively large step of 240.00 c can be used as major second for the melody construction. The scale has whole-tone as well as pentatonic character.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:24:<h2> --><h2 id="toc12"><a name="x5-edo in Musicmaking-Chord or scale?"></a><!-- ws:end:WikiTextHeadingRule:24 -->Chord or scale?</h2>
Either way, it is hard to wander very far from where you start. However, it has the scale-like feature that there are (barely) enough notes to create melody, in the form of an equal version of pentatonic.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:26:<h2> --><h2 id="toc13"><a name="x5-edo in Musicmaking-Commas Tempered"></a><!-- ws:end:WikiTextHeadingRule:26 -->Commas Tempered</h2>
5-EDO tempers out the following commas. (Note: This assumes the val < 5 8 12 14 17 19 |.)<br />
<br />
<table class="wiki_table">
<tr>
<th>Comma<br />
</th>
<th>Value (cents)<br />
</th>
<th>Name<br />
</th>
<th>Second Name<br />
</th>
<th>Third Name<br />
</th>
<th>Val<br />
</th>
</tr>
<tr>
<td style="text-align: center;">256/243<br />
</td>
<td style="text-align: right;">90.225<br />
</td>
<td>Limma<br />
</td>
<td>Pythagorean Minor 2nd<br />
</td>
<td><br />
</td>
<td>| 8 -5 ><br />
</td>
</tr>
<tr>
<td style="text-align: center;">81/80<br />
</td>
<td style="text-align: right;">21.506<br />
</td>
<td>Syntonic Comma<br />
</td>
<td>Didymos Comma<br />
</td>
<td>Meantone Comma<br />
</td>
<td>| -4 4 -1 ><br />
</td>
</tr>
<tr>
<td style="text-align: center;">2889416/2882415<br />
</td>
<td style="text-align: right;">4.200<br />
</td>
<td>Vulture<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>| 24 -21 4 ><br />
</td>
</tr>
<tr>
<td style="text-align: center;">36/35<br />
</td>
<td style="text-align: right;">48.770<br />
</td>
<td>Septimal Quarter Tone<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>| 2 2 -1 -1 ><br />
</td>
</tr>
<tr>
<td style="text-align: center;">49/48<br />
</td>
<td style="text-align: right;">35.697<br />
</td>
<td>Slendro Diesis<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>| -4 -1 0 2 ><br />
</td>
</tr>
<tr>
<td style="text-align: center;">64/63<br />
</td>
<td style="text-align: right;">27.264<br />
</td>
<td>Septimal Comma<br />
</td>
<td>Archytas' Comma<br />
</td>
<td>Leipziger Komma<br />
</td>
<td>| 6 -2 0 -1 ><br />
</td>
</tr>
<tr>
<td style="text-align: center;">245/243<br />
</td>
<td style="text-align: right;">14.191<br />
</td>
<td>Sensamagic<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>| 0 -5 1 2 ><br />
</td>
</tr>
<tr>
<td style="text-align: center;">1728/1715<br />
</td>
<td style="text-align: right;">13.074<br />
</td>
<td>Orwellisma<br />
</td>
<td>Orwell Comma<br />
</td>
<td><br />
</td>
<td>| 6 3 -1 -3 ><br />
</td>
</tr>
<tr>
<td style="text-align: center;">1029/1024<br />
</td>
<td style="text-align: right;">8.433<br />
</td>
<td>Gamelisma<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>| -10 1 0 3 ><br />
</td>
</tr>
<tr>
<td style="text-align: center;">19683/19600<br />
</td>
<td style="text-align: right;">7.316<br />
</td>
<td>Cataharry<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>| -4 9 -2 -2 ><br />
</td>
</tr>
<tr>
<td style="text-align: center;">5120/5103<br />
</td>
<td style="text-align: right;">5.758<br />
</td>
<td>Hemifamity<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>| 10 -6 1 -1 ><br />
</td>
</tr>
<tr>
<td style="text-align: center;">1065875/1063543<br />
</td>
<td style="text-align: right;">3.792<br />
</td>
<td>Wadisma<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>| -26 -1 1 9 ><br />
</td>
</tr>
<tr>
<td style="text-align: center;">420175/419904<br />
</td>
<td style="text-align: right;">1.117<br />
</td>
<td>Wizma<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>| -6 -8 2 5 ><br />
</td>
</tr>
<tr>
<td style="text-align: center;">99/98<br />
</td>
<td style="text-align: right;">17.576<br />
</td>
<td>Mothwellsma<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>| -1 2 0 -2 1 ><br />
</td>
</tr>
<tr>
<td style="text-align: center;">896/891<br />
</td>
<td style="text-align: right;">9.688<br />
</td>
<td>Pentacircle<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>| 7 -4 0 1 -1 ><br />
</td>
</tr>
<tr>
<td style="text-align: center;">385/384<br />
</td>
<td style="text-align: right;">4.503<br />
</td>
<td>Keenanisma<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>| -7 -1 1 1 1 ><br />
</td>
</tr>
<tr>
<td style="text-align: center;">441/440<br />
</td>
<td style="text-align: right;">3.930<br />
</td>
<td>Werckisma<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>| -3 2 -1 2 -1 ><br />
</td>
</tr>
<tr>
<td style="text-align: center;">3025/3024<br />
</td>
<td style="text-align: right;">0.572<br />
</td>
<td>Lehmerisma<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>| -4 -3 2 -1 2 ><br />
</td>
</tr>
<tr>
<td style="text-align: center;">91/90<br />
</td>
<td style="text-align: right;">19.130<br />
</td>
<td>Superleap<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>| -1 -2 -1 1 0 1 ><br />
</td>
</tr>
<tr>
<td style="text-align: center;">676/675<br />
</td>
<td style="text-align: right;">2.563<br />
</td>
<td>Parizeksma<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>| 2 -3 -2 0 0 2 ><br />
</td>
</tr>
</table>
<br />
<table class="wiki_table">
<tr>
<td><br />
</td>
</tr>
</table>
</body></html>