33ed4: Difference between revisions

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~~<h2>IMPORTED REVISION FROM WIKISPACES</h2>~~

~~This is an imported revision from Wikispaces. The revision metadata is included below for reference: ~~

'''33ed4''' is the [[ed4|Equal Divisions of the Double Octave]] into 33 narrow chromatic semitones each of 72.727 [[cent]]s. It takes out every second step of [[33edo]] and falls between [[16edo]] and [[17edo]]. So even degree 16 or degree 17 can play the role of the [[octave]], depending on the actual melodic or harmonic situation in a given composition. So it can be seen as a kind of '''Equivocal Tuning'''.

~~: This revision was by author [[User:jauernig|jauernig]] and made on <tt>2015-01-09 19:01:01 UTC</tt>. ~~

~~: The original revision id was <tt>536807298</tt>. ~~

~~: The revision comment was: <tt></tt> ~~

~~The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it. ~~

~~<h4>Original Wikitext content:</h4>~~

<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">**33ed4** is the [[~~ED4~~|Equal Divisions of the Double Octave]] into 33 narrow chromatic semitones each of 72.727 [[~~xenharmonic/cent|~~cent]]s. It takes out every second step of [[33edo]] and falls between [[16edo]] and [[17edo]]. So even degree 16 or degree 17 can play the role of the [[octave]], depending on the actual melodic or harmonic situation in a given composition. So it can be seen as a kind of ~~equivocal tuning~~.

It has a [[~~9_5|~~9/5]] which is 0.6 ~~cents~~ sharp, a [[~~7_5|~~7/5]] which is 0.7 ~~cents~~ flat, and a [[~~9_7|~~9/7]] which is 1.3 ~~cents~~ sharp. Therefore it is closely related to [[13edt]], the [[~~Bohlen-Pierce~~]] ~~scale~~, although it has no pure [[~~3_1|~~3/1]], which is 11.1 cents flat.

It has a [[9/5]] which is 0.6{{c}} sharp, a [[7/5]] which is 0.7{{c}} flat, and a [[9/7]] which is 1.3{{c}} sharp. Therefore it is closely related to [[13edt]], the [[Bohlen–Pierce scale]], although it has no pure [[3/1]], which is 11.1 cents flat. The lack of a [[3/2|pure fifth]] makes it also interesting.

Furthermore it has some [[11-limit]], [[13-limit]], [[17-limit]] and even [[23-limit]] which are very close (most of them under or nearby 1 ~~cent~~).

Furthermore it has some [[11-limit]], [[13-limit]], [[17-limit]] and even [[23-limit]] which are very close (most of them under or nearby 1{{c}}).

===**Intervals**===

== Intervals ==

|~~|~ degree~~ |~~|~ <span~~ style="~~display: block; text~~-~~align~~: ~~center~~;"~~>in cents~~ ||~~~ nearest~~ JI~~<~~/~~span>~~

{| class="wikitable right-all mw-collapsible"

~~interval<~~/~~span>~~ ||~~~ in cents~~ ||~~~ difference<~~/~~span>~~

|+ style="font-size: 105%;" | Intervals of 33ed4

~~in cents~~ ||

|-

|| ~~1~~ || ~~72,7<~~/~~span>~~ || ~~24~~/~~23~~ || ~~<span~~ style="~~display: block; text~~-~~align~~: ~~right;~~"~~>73,~~7~~~~ || ~~~~-1~~,0<~~/~~span>~~ ||

! Degree

|~~| <span~~ style="~~display: block; text~~-~~align~~: ~~right;">2<~~/~~span>~~ || ~~145,~~5~~<~~/~~span>~~ || ~~25~~/23~~~~ || ~~144,4<~~/~~span>~~ || ~~1,1<~~/~~span>~~ ||

! Cents

|| ~~<span~~ style="~~display: block; text~~-~~align~~: ~~right;~~"~~>3~~ || ~~218,~~2~~<~~/~~span>~~ || ~~17~~/~~15~~ || ~~<span~~ style="~~display~~: ~~block~~; ~~text-align~~: ~~right;~~"~~>216,6~~ || ~~1,6<~~/~~span>~~ ||

! Nearest JI interval

|| ~~<span~~ style="~~display: block; text~~-~~align~~: ~~right;">~~4~~~~ || ~~290,9<~~/~~span>~~ || ~~13~~/~~11~~ || ~~289,2<~~/~~span>~~ || ~~1,7~~ ||

! Cents

|| ~~~~5~~<~~/~~span>~~ || ~~<span~~ style="~~display: block; text~~-~~align~~: ~~right;~~"~~>363,6<~~/~~span>~~ || ~~<span~~ style="~~display: block; text~~-~~align~~: ~~right;~~"~~>16~~/~~13~~ || ~~359,5<~~/~~span>~~ || ~~4,~~1~~<~~/~~span>~~ ||

! Difference in cents

|| ~~6<~~/~~span>~~ || ~~436,4<~~/~~span>~~ || ~~<span~~ style="~~display: block; text~~-~~align~~: ~~right;~~"~~>9/7 || 435,1 || 1,3 ||~~

|-

|| 7 || 509,1 || 51/38 || 509,4 || -0,3 ||

| 1

|| 8 || 581,8 || 7/5 || 582,5 || -0,7 ||

| 72.7

|| 9 || 654,5 || 19/13 || 657,0 || -2,5 ||

| 24/23

|| 10 || 727,3 || 35/23 || 726,9 || 0,4 ||

| 73.7

|| 11 || 800,0 || 27/17 || 800,9 || -0,9 ||

| −1.0

|| 12 || 872,7 || 53/32 || 873,5 || -0,8 ||

|-

|| 13 || 945,5 || 19/11 || 946,2 || -0,7 ||

| 2

|| 14 || 1018,2 || 9/5 || 1017,6 || 0,6 ||

| 145.5

|| 15 || 1090,9 || 15/8 || 1088,3 || 2,6 ||

| 25/23

|| 16 || 1163,6 || 45/23 || 1161,9 || 1,7 ||

| 144.4

|| 17 || 1236,4 || 49/24 || 1235,7 || 0,7 ||

| 1.1

|| 18 || 1309,1 || 32/15 || 1311,7 || -2,6 ||

|-

|| 19 || 1381,8 || 20/9 || 1382,4 || -0,6 ||

| 3

|| 20 || 1454,5 || 44/19 || 1453,8 || 0,7 ||

| 218.2

|| 21 || 1527,3 || 29/12 || 1527,6 || -0,3 ||

| 17/15

|| 22 || 1600,0 || 68/27 || 1599,1 || 0,9 ||

| 216.6

|| 23 || 1672,7 || 21/8 || 1670,8 || 1,9 ||

| 1.6

|| 24 || 1745,5 || 52/19 || 1743,0 || 2,5 ||

|-

|| 25 || 1818,2 || 20/7 || 1817,5 || 0,7 ||

| 4

|| 26 || 1890,9 || 116/39 || 1887,1 || 3,8 ||

| 290.9

|| 27 || 1963,6 || 28/9 || 1964,9 || -1,3 ||

| 13/11

|| 28 || 2036,4 || 13/4 || 2040,5 || -4,1 ||

| 289.2

|| 29 || 2109,1 || 44/13 || 2110,8 || -1,7 ||

| 1.7

|| 30 || 2181,8 || 60/17 || 2183,3 || -1,5 ||

|-

|| 31 || 2254,5 || 114/31 || 2254,4 || 0,1 ||

| 5

|| 32 || 2327,3 || 23/6 || 2326,3 || 1,0 ||

| 363.6

|~~| ~~33~~ || ~~2400,0~~ |~~| ~~~~4/1~~ || ~~2400,0~~ |~~| ~~~~0,0~~ |~~|

| 16/13

| 359.5

| 4.1

|- style="font-weight: bold"

| 6

| 436.4

| 9/7

| 435.1

| 1.3

|-

| 7

| 509.1

| 51/38

| 509.4

| −0.3

|- style="font-weight: bold"

| 8

| 581.8

| 7/5

| 582.5

| −0.7

|-

| 9

| 654.5

| 19/13

| 657.0

| −2.5

|-

| 10

| 727.3

| 35/23

| 726.9

| 0.4

|-

| 11

| 800.0

| 27/17

| 800.9

| −0.9

|-

| 12

| 872.7

| 53/32

| 873.5

| −0.8

|-

| 13

| 945.5

| 19/11

| 946.2

| −0.7

|- style="font-weight: bold"

| 14

| 1018.2

| 9/5

| 1017.6

| 0.6

|-

| 15

| 1090.9

| 15/8

| 1088.3

| 2.6

|- style="font-weight: bold; color: #080"

| 16

| 1163.6

| 45/23

| 1161.9

| 1.7

|- style="font-weight: bold; color: #080"

| 17

| 1236.4

| 49/24

| 1235.7

| 0.7

|-

| 18

| 1309.1

| 32/15

| 1311.7

| −2.6

|- style="font-weight: bold"

| 19

| 1381.8

| 20/9

| 1382.4

| −0.6

|-

| 20

| 1454.5

| 44/19

| 1453.8

| 0.7

|-

| 21

| 1527.3

| 29/12

| 1527.6

| −0.3

|-

| 22

| 1600.0

| 68/27

| 1599.1

| 0.9

|-

| 23

| 1672.7

| 21/8

| 1670.8

| 1.9

|-

| 24

| 1745.5

| 52/19

| 1743.0

| 2.5

|- style="font-weight: bold"

| 25

| 1818.2

| 20/7

| 1817.5

| 0.7

|-

| 26

| 1890.9

| 116/39

| 1887.1

| 3.8

|- style="font-weight: bold"

| 27

| 1963.6

| 28/9

| 1964.9

| −1.3

|-

| 28

| 2036.4

| 13/4

| 2040.5

| −4.1

|-

| 29

| 2109.1

| 44/13

| 2110.8

| −1.7

|-

| 30

| 2181.8

| 60/17

| 2183.3

| −1.5

|-

| 31

| 2254.5

| 114/31

| 2254.4

| 0.1

|-

| 32

| 2327.3

| 23/6

| 2326.3

| 1.0

|- style="font-weight: bold"

| 33

| 2400.0

| 4/1

| 2400.0

| 0.0

|}

==~~=**Music**=~~==

== Harmonics ==

~~[[http://soundcloud.com/ahornberg/sets/equivocal-tuning-33ed4~~|~~Equivocal Tuning]] by Ahornberg</pre></div>~~

{{Harmonics in equal

~~<h4>Original HTML content:</h4>~~

| steps = 33

<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>33ed4</title></head><body>33ed4 is the <a class="wiki_link" href=~~"/ED4">Equal Divisions of the Double Octave</a> into~~ 33 narrow chromatic semitones each of 72.727 <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cent">cent</a>s. It takes out every second step of <a class="wiki_link" href="/33edo">33edo</a> and falls between <a class="wiki_link" href="/16edo">16edo</a> and <a class="wiki_link" href="/17edo">17edo</a>. So even degree 16 or degree 17 can play the role of the <a class="wiki_link" href=~~"/octave">octave</a>, depending on the actual melodic or harmonic situation in a given composition. So it can be seen as a kind of equivocal tuning. ~~

| num = 4

~~ ~~

| denom = 1

~~It has a <a class~~="wiki_link" href="/9_5">9/5</a> which is 0.6 cents sharp, a <a class="wiki_link" href="/7_5">7/5</a> which is 0.7 cents flat, and a <a class="wiki_link" href="/9_7">9/7</a> which is 1.3 cents sharp. Therefore it is closely related to <a class="wiki_link" href="/13edt">13edt</a>, the <a class="wiki_link" href="/Bohlen-Pierce">Bohlen-Pierce</a> scale, although it has no pure <a class="wiki_link" href="/3_1">3/1</a>, which is 11.1 cents flat.

}}

~~ ~~

{{Harmonics in equal

~~Furthermore it has some <a class~~=~~"wiki_link" href~~=~~"/11-limit">11-limit</a>, <a class~~="wiki_link" href="/13-limit">13-limit</a>, <a class="wiki_link" href="/17-limit">17-limit</a> and even <a class="wiki_link" href="/23-limit">23-limit</a> which are very close (most of them under or nearby 1 ~~cent). ~~

| steps = 33

~~ ~~

| num = 4

~~<h3 id~~=~~"toc0"><a name~~=~~"x--Intervals"></a>Intervals</h3>~~

| denom = 1

| start = 12

| collapsed = 1

}}

~~<table class~~=~~"wiki_table">~~

== Music ==

~~<tr>~~

* [http://soundcloud.com/ahornberg/sets/equivocal-tuning-33ed4 Equivocal Tuning] — Set of compositions by Ahornberg

~~<th>degree ~~

~~</th>~~

~~<th>in cents ~~

~~</th>~~

~~<th>nearest JI ~~

~~interval ~~

~~</th>~~

~~<th>in cents ~~

~~</th>~~

~~<th>difference ~~

~~in cents ~~

~~</th>~~

~~</tr>~~

~~<tr>~~

~~<td>1 ~~

~~</td>~~

~~<td>72,7 ~~

~~</td>~~

~~<td>24/23 ~~

~~</td>~~

~~<td>73,7 ~~

~~</td>~~

~~<td>-1,0 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>2 ~~

~~</td>~~

~~<td>145,5 ~~

~~</td>~~

~~<td>25/23 ~~

~~</td>~~

~~<td>144,4 ~~

~~</td>~~

~~<td>1,1 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>3 ~~

~~</td>~~

~~<td>218,2 ~~

~~</td>~~

~~<td>17/15 ~~

~~</td>~~

~~<td>216,6 ~~

~~</td>~~

~~<td>1,6 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>4 ~~

~~</td>~~

~~<td>290,9 ~~

~~</td>~~

~~<td>13/11 ~~

~~</td>~~

~~<td>289,2 ~~

~~</td>~~

~~<td>1,7 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>5 ~~

~~</td>~~

~~<td>363,6 ~~

~~</td>~~

~~<td>16/13 ~~

~~</td>~~

~~<td>359,5 ~~

~~</td>~~

~~<td>4,1 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>6 ~~

~~</td>~~

~~<td>436,4 ~~

~~</td>~~

~~<td>9/7 ~~

~~</td>~~

~~<td>435,1 ~~

~~</td>~~

~~<td>1,3 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>7 ~~

~~</td>~~

~~<td>509,1 ~~

~~</td>~~

~~<td>51/38 ~~

~~</td>~~

~~<td>509,4 ~~

~~</td>~~

~~<td>-0,3 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>8 ~~

~~</td>~~

~~<td>581,8 ~~

~~</td>~~

~~<td>7/5 ~~

~~</td>~~

~~<td>582,5 ~~

~~</td>~~

~~<td>-0,7 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>9 ~~

~~</td>~~

~~<td>654,5 ~~

~~</td>~~

~~<td>19/13 ~~

~~</td>~~

~~<td>657,0 ~~

~~</td>~~

~~<td>-2,5<~~/~~span><br~~ /~~>~~

~~<~~/~~td>~~

~~<~~/~~tr>~~

~~<tr>~~

~~<td>10<~~/~~span> ~~

~~</td>~~

~~<td>727,3 ~~

~~</td>~~

~~<td>35/23 ~~

~~</td>~~

~~<td>726,9 ~~

~~</td>~~

~~<td>0,4 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>11 ~~

~~</td>~~

~~<td>800,0 ~~

~~</td>~~

~~<td>27/17 ~~

~~</td>~~

~~<td>800,9 ~~

~~</td>~~

~~<td>-0,9 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>12 ~~

~~</td>~~

~~<td>872,7 ~~

~~</td>~~

~~<td>53/32 ~~

~~</td>~~

~~<td>873,5 ~~

~~</td>~~

~~<td>-0,8 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>13 ~~

~~</td>~~

~~<td>945,5 ~~

~~</td>~~

~~<td>19/11 ~~

~~</td>~~

~~<td>946,2 ~~

~~</td>~~

~~<td>-0,7 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>14 ~~

~~</td>~~

~~<td>1018,2 ~~

~~</td>~~

~~<td>9/5 ~~

~~</td>~~

~~<td>1017,6 ~~

~~</td>~~

~~<td>0,6 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>15 ~~

~~</td>~~

~~<td>1090,9 ~~

~~</td>~~

~~<td>15/8 ~~

~~</td>~~

~~<td>1088,3 ~~

~~</td>~~

~~<td>2,6 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>16 ~~

~~</td>~~

~~<td>1163,6 ~~

~~</td>~~

~~<td>45/23 ~~

~~</td>~~

~~<td>1161,9 ~~

~~</td>~~

~~<td>1,7 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>17 ~~

~~</td>~~

~~<td>1236,4 ~~

~~</td>~~

~~<td>49/24 ~~

~~</td>~~

~~<td>1235,7 ~~

~~</td>~~

~~<td>0,7 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>18 ~~

~~</td>~~

~~<td>1309,1 ~~

~~</td>~~

~~<td>32/15 ~~

~~</td>~~

~~<td>1311,7 ~~

~~</td>~~

~~<td>-2,6 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>19 ~~

~~</td>~~

~~<td>1381,8 ~~

~~</td>~~

~~<td>20/9 ~~

~~</td>~~

~~<td>1382,4 ~~

~~</td>~~

~~<td>-0,6 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>20 ~~

~~</td>~~

~~<td>1454,5 ~~

~~</td>~~

~~<td>44/19 ~~

~~</td>~~

~~<td>1453,8 ~~

~~</td>~~

~~<td>0,7 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>21 ~~

~~</td>~~

~~<td>1527,3 ~~

~~</td>~~

~~<td>29/12 ~~

~~</td>~~

~~<td>1527,6 ~~

~~</td>~~

~~<td>-0,3 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>22 ~~

~~</td>~~

~~<td>1600,0 ~~

~~</td>~~

~~<td>68/27 ~~

~~</td>~~

~~<td>1599,1 ~~

~~</td>~~

~~<td>0,9 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>23 ~~

~~</td>~~

~~<td>1672,7 ~~

~~</td>~~

~~<td>21/8 ~~

~~</td>~~

~~<td>1670,8 ~~

~~</td>~~

~~<td>1,9 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>24 ~~

~~</td>~~

~~<td>1745,5 ~~

~~</td>~~

~~<td>52/19 ~~

~~</td>~~

~~<td>1743,0 ~~

~~</td>~~

~~<td>2,5 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>25 ~~

~~</td>~~

~~<td>1818,2 ~~

~~</td>~~

~~<td>20/7 ~~

~~</td>~~

~~<td>1817,5 ~~

~~</td>~~

~~<td>0,7 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>26 ~~

~~</td>~~

~~<td>1890,9 ~~

~~</td>~~

~~<td>116/39 ~~

~~</td>~~

~~<td>1887,1 ~~

~~</td>~~

~~<td>3,8 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>27 ~~

~~</td>~~

~~<td>1963,6 ~~

~~</td>~~

~~<td>28/9 ~~

~~</td>~~

~~<td>1964,9 ~~

~~</td>~~

~~<td>-1,3 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>28 ~~

~~</td>~~

~~<td>2036,4 ~~

~~</td>~~

~~<td>13/4 ~~

~~</td>~~

~~<td>2040,5 ~~

~~</td>~~

~~<td>-4,1 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>29 ~~

~~</td>~~

~~<td>2109,1 ~~

~~</td>~~

~~<td>44/13 ~~

~~</td>~~

~~<td>2110,8 ~~

~~</td>~~

~~<td>-1,7 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>30 ~~

~~</td>~~

~~<td>2181,8 ~~

~~</td>~~

~~<td>60/17 ~~

~~</td>~~

~~<td>2183,3 ~~

~~</td>~~

~~<td>-1,5 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>31 ~~

~~</td>~~

~~<td>2254,5 ~~

~~</td>~~

~~<td>114/31 ~~

~~</td>~~

~~<td>2254,4 ~~

~~</td>~~

~~<td>0,1 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>32 ~~

~~</td>~~

~~<td>2327,3 ~~

~~</td>~~

~~<td>23/6 ~~

~~</td>~~

~~<td>2326,3 ~~

~~</td>~~

~~<td>1,0 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>33 ~~

~~</td>~~

~~<td>2400,0 ~~

~~</td>~~

~~<td>4/1 ~~

~~</td>~~

~~<td>2400,0 ~~

~~</td>~~

~~<td>0,0 ~~

~~</td>~~

~~</tr>~~

~~</table>~~

~~ ~~

[[Category:Equal-step tuning]]

~~Music</h3>~~

~~<a class="wiki_link_ext" href="http://soundcloud.com/ahornberg/sets/equivocal-tuning-33ed4" rel="nofollow">Equivocal Tuning</a> by Ahornberg</body></html></pre></div>~~

@@ Line 1: / Line 1: @@
-<h2>IMPORTED REVISION FROM WIKISPACES</h2>
+{{Infobox ET}}
-This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
+'''33ed4''' is the [[ed4|Equal Divisions of the Double Octave]] into 33 narrow chromatic semitones each of 72.727 [[cent]]s. It takes out every second step of [[33edo]] and falls between [[16edo]] and [[17edo]]. So even degree 16 or degree 17 can play the role of the [[octave]], depending on the actual melodic or harmonic situation in a given composition. So it can be seen as a kind of '''<span style="color: #080;">Equivocal Tuning</span>'''.
-: This revision was by author [[User:jauernig|jauernig]] and made on <tt>2015-01-09 19:01:01 UTC</tt>.<br>
-: The original revision id was <tt>536807298</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>
-<h4>Original Wikitext content:</h4>
-<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">**33ed4** is the [[ED4|Equal Divisions of the Double Octave]] into 33 narrow chromatic semitones each of 72.727 [[xenharmonic/cent|cent]]s. It takes out every second step of [[33edo]] and falls between [[16edo]] and [[17edo]]. So even degree 16 or degree 17 can play the role of the [[octave]], depending on the actual melodic or harmonic situation in a given composition. So it can be seen as a kind of equivocal tuning.
-It has a [[9_5|9/5]] which is 0.6 cents sharp, a [[7_5|7/5]] which is 0.7 cents flat, and a [[9_7|9/7]] which is 1.3 cents sharp. Therefore it is closely related to [[13edt]], the [[Bohlen-Pierce]] scale, although it has no pure [[3_1|3/1]], which is 11.1 cents flat.
+It has a [[9/5]] which is 0.6{{c}} sharp, a [[7/5]] which is 0.7{{c}} flat, and a [[9/7]] which is 1.3{{c}} sharp. Therefore it is closely related to [[13edt]], the [[Bohlen–Pierce scale]], although it has no pure [[3/1]], which is 11.1 cents flat. The lack of a [[3/2|pure fifth]] makes it also interesting.
-Furthermore it has some [[11-limit]], [[13-limit]], [[17-limit]] and even [[23-limit]] which are very close (most of them under or nearby 1 cent).
+Furthermore it has some [[11-limit]], [[13-limit]], [[17-limit]] and even [[23-limit]] which are very close (most of them under or nearby 1{{c}}).
-===**Intervals**===
+== Intervals ==
-||~ &lt;span style="display: block; text-align: center;"&gt;degree&lt;/span&gt; ||~ &lt;span style="display: block; text-align: center;"&gt;in cents&lt;/span&gt; ||~ &lt;span style="display: block; text-align: center;"&gt;nearest JI&lt;/span&gt;
+{| class="wikitable right-all mw-collapsible"
-&lt;span style="display: block; text-align: center;"&gt;interval&lt;/span&gt; ||~ &lt;span style="display: block; text-align: center;"&gt;in cents&lt;/span&gt; ||~ &lt;span style="display: block; text-align: center;"&gt;difference&lt;/span&gt;
+|+ style="font-size: 105%;" | Intervals of 33ed4
-&lt;span style="display: block; text-align: center;"&gt;in cents&lt;/span&gt; ||
+|-
-|| &lt;span style="display: block; text-align: right;"&gt;1&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;72,7&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;24/23&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;73,7&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;-1,0&lt;/span&gt; ||
+! Degree
-|| &lt;span style="display: block; text-align: right;"&gt;2&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;145,5&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;25/23&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;144,4&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1,1&lt;/span&gt; ||
+! Cents
-|| &lt;span style="display: block; text-align: right;"&gt;3&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;218,2&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;17/15&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;216,6&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1,6&lt;/span&gt; ||
+! Nearest JI<br />interval
-|| &lt;span style="display: block; text-align: right;"&gt;4&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;290,9&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;13/11&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;289,2&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1,7&lt;/span&gt; ||
+! Cents
-|| &lt;span style="display: block; text-align: right;"&gt;5&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;363,6&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;16/13&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;359,5&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;4,1&lt;/span&gt; ||
+! Difference<br />in cents
-|| &lt;span style="display: block; text-align: right;"&gt;6&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;436,4&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;9/7&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;435,1&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1,3&lt;/span&gt; ||
+|-
-|| &lt;span style="display: block; text-align: right;"&gt;7&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;509,1&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;51/38&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;509,4&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;-0,3&lt;/span&gt; ||
+| 1
-|| &lt;span style="display: block; text-align: right;"&gt;8&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;581,8&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;7/5&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;582,5&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;-0,7&lt;/span&gt; ||
+| 72.7
-|| &lt;span style="display: block; text-align: right;"&gt;9&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;654,5&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;19/13&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;657,0&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;-2,5&lt;/span&gt; ||
+| 24/23
-|| &lt;span style="display: block; text-align: right;"&gt;10&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;727,3&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;35/23&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;726,9&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;0,4&lt;/span&gt; ||
+| 73.7
-|| &lt;span style="display: block; text-align: right;"&gt;11&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;800,0&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;27/17&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;800,9&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;-0,9&lt;/span&gt; ||
+| −1.0
-|| &lt;span style="display: block; text-align: right;"&gt;12&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;872,7&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;53/32&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;873,5&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;-0,8&lt;/span&gt; ||
+|-
-|| &lt;span style="display: block; text-align: right;"&gt;13&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;945,5&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;19/11&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;946,2&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;-0,7&lt;/span&gt; ||
+| 2
-|| &lt;span style="display: block; text-align: right;"&gt;14&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1018,2&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;9/5&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1017,6&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;0,6&lt;/span&gt; ||
+| 145.5
-|| &lt;span style="display: block; text-align: right;"&gt;15&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1090,9&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;15/8&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1088,3&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;2,6&lt;/span&gt; ||
+| 25/23
-|| &lt;span style="display: block; text-align: right;"&gt;16&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1163,6&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;45/23&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1161,9&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1,7&lt;/span&gt; ||
+| 144.4
-|| &lt;span style="display: block; text-align: right;"&gt;17&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1236,4&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;49/24&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1235,7&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;0,7&lt;/span&gt; ||
+| 1.1
-|| &lt;span style="display: block; text-align: right;"&gt;18&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1309,1&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;32/15&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1311,7&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;-2,6&lt;/span&gt; ||
+|-
-|| &lt;span style="display: block; text-align: right;"&gt;19&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1381,8&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;20/9&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1382,4&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;-0,6&lt;/span&gt; ||
+| 3
-|| &lt;span style="display: block; text-align: right;"&gt;20&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1454,5&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;44/19&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1453,8&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;0,7&lt;/span&gt; ||
+| 218.2
-|| &lt;span style="display: block; text-align: right;"&gt;21&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1527,3&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;29/12&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1527,6&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;-0,3&lt;/span&gt; ||
+| 17/15
-|| &lt;span style="display: block; text-align: right;"&gt;22&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1600,0&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;68/27&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1599,1&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;0,9&lt;/span&gt; ||
+| 216.6
-|| &lt;span style="display: block; text-align: right;"&gt;23&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1672,7&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;21/8&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1670,8&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1,9&lt;/span&gt; ||
+| 1.6
-|| &lt;span style="display: block; text-align: right;"&gt;24&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1745,5&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;52/19&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1743,0&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;2,5&lt;/span&gt; ||
+|-
-|| &lt;span style="display: block; text-align: right;"&gt;25&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1818,2&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;20/7&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1817,5&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;0,7&lt;/span&gt; ||
+| 4
-|| &lt;span style="display: block; text-align: right;"&gt;26&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1890,9&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;116/39&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1887,1&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;3,8&lt;/span&gt; ||
+| 290.9
-|| &lt;span style="display: block; text-align: right;"&gt;27&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1963,6&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;28/9&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1964,9&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;-1,3&lt;/span&gt; ||
+| 13/11
-|| &lt;span style="display: block; text-align: right;"&gt;28&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;2036,4&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;13/4&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;2040,5&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;-4,1&lt;/span&gt; ||
+| 289.2
-|| &lt;span style="display: block; text-align: right;"&gt;29&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;2109,1&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;44/13&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;2110,8&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;-1,7&lt;/span&gt; ||
+| 1.7
-|| &lt;span style="display: block; text-align: right;"&gt;30&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;2181,8&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;60/17&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;2183,3&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;-1,5&lt;/span&gt; ||
+|-
-|| &lt;span style="display: block; text-align: right;"&gt;31&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;2254,5&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;114/31&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;2254,4&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;0,1&lt;/span&gt; ||
+| 5
-|| &lt;span style="display: block; text-align: right;"&gt;32&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;2327,3&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;23/6&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;2326,3&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;1,0&lt;/span&gt; ||
+| 363.6
-|| &lt;span style="display: block; text-align: right;"&gt;33&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;2400,0&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;4/1&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;2400,0&lt;/span&gt; || &lt;span style="display: block; text-align: right;"&gt;0,0&lt;/span&gt; ||
+| 16/13
+| 359.5
+| 4.1
+|- style="font-weight: bold"
+| 6
+| 436.4
+| 9/7
+| 435.1
+| 1.3
+|-
+| 7
+| 509.1
+| 51/38
+| 509.4
+| −0.3
+|- style="font-weight: bold"
+| 8
+| 581.8
+| 7/5
+| 582.5
+| −0.7
+|-
+| 9
+| 654.5
+| 19/13
+| 657.0
+| −2.5
+|-
+| 10
+| 727.3
+| 35/23
+| 726.9
+| 0.4
+|-
+| 11
+| 800.0
+| 27/17
+| 800.9
+| −0.9
+|-
+| 12
+| 872.7
+| 53/32
+| 873.5
+| −0.8
+|-
+| 13
+| 945.5
+| 19/11
+| 946.2
+| −0.7
+|- style="font-weight: bold"
+| 14
+| 1018.2
+| 9/5
+| 1017.6
+| 0.6
+|-
+| 15
+| 1090.9
+| 15/8
+| 1088.3
+| 2.6
+|- style="font-weight: bold; color: #080"
+| 16
+| 1163.6
+| 45/23
+| 1161.9
+| 1.7
+|- style="font-weight: bold; color: #080"
+| 17
+| 1236.4
+| 49/24
+| 1235.7
+| 0.7
+|-
+| 18
+| 1309.1
+| 32/15
+| 1311.7
+| −2.6
+|- style="font-weight: bold"
+| 19
+| 1381.8
+| 20/9
+| 1382.4
+| −0.6
+|-
+| 20
+| 1454.5
+| 44/19
+| 1453.8
+| 0.7
+|-
+| 21
+| 1527.3
+| 29/12
+| 1527.6
+| −0.3
+|-
+| 22
+| 1600.0
+| 68/27
+| 1599.1
+| 0.9
+|-
+| 23
+| 1672.7
+| 21/8
+| 1670.8
+| 1.9
+|-
+| 24
+| 1745.5
+| 52/19
+| 1743.0
+| 2.5
+|- style="font-weight: bold"
+| 25
+| 1818.2
+| 20/7
+| 1817.5
+| 0.7
+|-
+| 26
+| 1890.9
+| 116/39
+| 1887.1
+| 3.8
+|- style="font-weight: bold"
+| 27
+| 1963.6
+| 28/9
+| 1964.9
+| −1.3
+|-
+| 28
+| 2036.4
+| 13/4
+| 2040.5
+| −4.1
+|-
+| 29
+| 2109.1
+| 44/13
+| 2110.8
+| −1.7
+|-
+| 30
+| 2181.8
+| 60/17
+| 2183.3
+| −1.5
+|-
+| 31
+| 2254.5
+| 114/31
+| 2254.4
+| 0.1
+|-
+| 32
+| 2327.3
+| 23/6
+| 2326.3
+| 1.0
+|- style="font-weight: bold"
+| 33
+| 2400.0
+| 4/1
+| 2400.0
+| 0.0
+|}
-===**Music**===
+== Harmonics ==
-[[http://soundcloud.com/ahornberg/sets/equivocal-tuning-33ed4|Equivocal Tuning]] by Ahornberg</pre></div>
+{{Harmonics in equal
-<h4>Original HTML content:</h4>
+| steps = 33
-<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;33ed4&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;33ed4&lt;/strong&gt; is the &lt;a class="wiki_link" href="/ED4"&gt;Equal Divisions of the Double Octave&lt;/a&gt; into 33 narrow chromatic semitones each of 72.727 &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/cent"&gt;cent&lt;/a&gt;s. It takes out every second step of &lt;a class="wiki_link" href="/33edo"&gt;33edo&lt;/a&gt; and falls between &lt;a class="wiki_link" href="/16edo"&gt;16edo&lt;/a&gt; and &lt;a class="wiki_link" href="/17edo"&gt;17edo&lt;/a&gt;. So even degree 16 or degree 17 can play the role of the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt;, depending on the actual melodic or harmonic situation in a given composition. So it can be seen as a kind of equivocal tuning.&lt;br /&gt;
+| num = 4
-&lt;br /&gt;
+| denom = 1
-It has a &lt;a class="wiki_link" href="/9_5"&gt;9/5&lt;/a&gt; which is 0.6 cents sharp, a &lt;a class="wiki_link" href="/7_5"&gt;7/5&lt;/a&gt; which is 0.7 cents flat, and a &lt;a class="wiki_link" href="/9_7"&gt;9/7&lt;/a&gt; which is 1.3 cents sharp. Therefore it is closely related to &lt;a class="wiki_link" href="/13edt"&gt;13edt&lt;/a&gt;, the &lt;a class="wiki_link" href="/Bohlen-Pierce"&gt;Bohlen-Pierce&lt;/a&gt; scale, although it has no pure &lt;a class="wiki_link" href="/3_1"&gt;3/1&lt;/a&gt;, which is 11.1 cents flat.&lt;br /&gt;
+}}
-&lt;br /&gt;
+{{Harmonics in equal
-Furthermore it has some &lt;a class="wiki_link" href="/11-limit"&gt;11-limit&lt;/a&gt;, &lt;a class="wiki_link" href="/13-limit"&gt;13-limit&lt;/a&gt;, &lt;a class="wiki_link" href="/17-limit"&gt;17-limit&lt;/a&gt; and even &lt;a class="wiki_link" href="/23-limit"&gt;23-limit&lt;/a&gt; which are very close (most of them under or nearby 1 cent).&lt;br /&gt;
+| steps = 33
-&lt;br /&gt;
+| num = 4
-&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc0"&gt;&lt;a name="x--Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;strong&gt;Intervals&lt;/strong&gt;&lt;/h3&gt;
+| denom = 1
+| start = 12
+| collapsed = 1
+}}
-&lt;table class="wiki_table"&gt;
+== Music ==
-    &lt;tr&gt;
+* [http://soundcloud.com/ahornberg/sets/equivocal-tuning-33ed4 Equivocal Tuning] — Set of compositions by Ahornberg
-        &lt;th&gt;&lt;span style="display: block; text-align: center;"&gt;degree&lt;/span&gt;&lt;br /&gt;
-&lt;/th&gt;
-        &lt;th&gt;&lt;span style="display: block; text-align: center;"&gt;in cents&lt;/span&gt;&lt;br /&gt;
-&lt;/th&gt;
-        &lt;th&gt;&lt;span style="display: block; text-align: center;"&gt;nearest JI&lt;/span&gt;&lt;br /&gt;
-&lt;span style="display: block; text-align: center;"&gt;interval&lt;/span&gt;&lt;br /&gt;
-&lt;/th&gt;
-        &lt;th&gt;&lt;span style="display: block; text-align: center;"&gt;in cents&lt;/span&gt;&lt;br /&gt;
-&lt;/th&gt;
-        &lt;th&gt;&lt;span style="display: block; text-align: center;"&gt;difference&lt;/span&gt;&lt;br /&gt;
-&lt;span style="display: block; text-align: center;"&gt;in cents&lt;/span&gt;&lt;br /&gt;
-&lt;/th&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;72,7&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;24/23&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;73,7&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;-1,0&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;2&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;145,5&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;25/23&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;144,4&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1,1&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;3&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;218,2&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;17/15&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;216,6&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1,6&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;4&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;290,9&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;13/11&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;289,2&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1,7&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;5&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;363,6&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;16/13&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;359,5&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;4,1&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;6&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;436,4&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;9/7&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;435,1&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1,3&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;7&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;509,1&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;51/38&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;509,4&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;-0,3&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;8&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;581,8&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;7/5&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;582,5&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;-0,7&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;9&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;654,5&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;19/13&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;657,0&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;-2,5&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;10&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;727,3&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;35/23&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;726,9&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;0,4&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;11&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;800,0&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;27/17&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;800,9&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;-0,9&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;12&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;872,7&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;53/32&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;873,5&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;-0,8&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;13&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;945,5&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;19/11&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;946,2&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;-0,7&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;14&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1018,2&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;9/5&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1017,6&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;0,6&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;15&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1090,9&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;15/8&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1088,3&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;2,6&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;16&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1163,6&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;45/23&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1161,9&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1,7&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;17&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1236,4&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;49/24&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1235,7&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;0,7&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;18&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1309,1&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;32/15&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1311,7&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;-2,6&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;19&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1381,8&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;20/9&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1382,4&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;-0,6&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;20&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1454,5&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;44/19&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1453,8&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;0,7&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;21&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1527,3&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;29/12&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1527,6&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;-0,3&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;22&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1600,0&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;68/27&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1599,1&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;0,9&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;23&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1672,7&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;21/8&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1670,8&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1,9&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;24&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1745,5&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;52/19&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1743,0&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;2,5&lt;/span&gt;&lt;br /&gt;
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-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;25&lt;/span&gt;&lt;br /&gt;
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-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1818,2&lt;/span&gt;&lt;br /&gt;
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-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;20/7&lt;/span&gt;&lt;br /&gt;
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-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1817,5&lt;/span&gt;&lt;br /&gt;
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-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;0,7&lt;/span&gt;&lt;br /&gt;
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-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;26&lt;/span&gt;&lt;br /&gt;
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-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1890,9&lt;/span&gt;&lt;br /&gt;
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-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;116/39&lt;/span&gt;&lt;br /&gt;
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-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1887,1&lt;/span&gt;&lt;br /&gt;
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-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;3,8&lt;/span&gt;&lt;br /&gt;
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-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;27&lt;/span&gt;&lt;br /&gt;
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-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1963,6&lt;/span&gt;&lt;br /&gt;
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-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;28/9&lt;/span&gt;&lt;br /&gt;
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-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1964,9&lt;/span&gt;&lt;br /&gt;
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-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;-1,3&lt;/span&gt;&lt;br /&gt;
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-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;28&lt;/span&gt;&lt;br /&gt;
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-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;2036,4&lt;/span&gt;&lt;br /&gt;
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-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;13/4&lt;/span&gt;&lt;br /&gt;
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-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;2040,5&lt;/span&gt;&lt;br /&gt;
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-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;-4,1&lt;/span&gt;&lt;br /&gt;
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-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;29&lt;/span&gt;&lt;br /&gt;
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-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;2109,1&lt;/span&gt;&lt;br /&gt;
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-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;44/13&lt;/span&gt;&lt;br /&gt;
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-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;2110,8&lt;/span&gt;&lt;br /&gt;
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-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;-1,7&lt;/span&gt;&lt;br /&gt;
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-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;30&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;2181,8&lt;/span&gt;&lt;br /&gt;
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-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;60/17&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;2183,3&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;-1,5&lt;/span&gt;&lt;br /&gt;
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-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;31&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;2254,5&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;114/31&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;2254,4&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;0,1&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;32&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;2327,3&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;23/6&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;2326,3&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;1,0&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;33&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;2400,0&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;4/1&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;2400,0&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="display: block; text-align: right;"&gt;0,0&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-&lt;/table&gt;
-&lt;br /&gt;
+[[Category:Equal-step tuning]]
-&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x--Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;&lt;strong&gt;Music&lt;/strong&gt;&lt;/h3&gt;
+{{todo|expand}}
- &lt;a class="wiki_link_ext" href="http://soundcloud.com/ahornberg/sets/equivocal-tuning-33ed4" rel="nofollow"&gt;Equivocal Tuning&lt;/a&gt; by Ahornberg&lt;/body&gt;&lt;/html&gt;</pre></div>