29edo: Difference between revisions

Line 1:

<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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

: This revision was by author [[User:~~JosephRuhf~~|~~JosephRuhf~~]] and made on <tt>2016-12-~~05 15~~:21:13 UTC</tt>.

: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-12-28 02:59:16 UTC</tt>.

: The original revision id was <tt>~~601450260~~</tt>.

: The original revision id was <tt>602864728</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.

Line 26:

[[List of 29et rank two temperaments by badness]]

||~ ~~Degrees of 29-EDO~~ ||~ Cents ~~value coarse/fine~~

||~ Degree ||~ Cents ||~ Approx. ratiosof the [[15-limit]] ||||||~ [[xenharmonic/Ups and Downs Notation|Ups and downs]] notation ||~ Generator for temperaments ||

~~DMS value~~ ||~ Approx. ~~ratios of~~ the [[15-limit]] ||~ Generator for temperaments ||

||= 0 ||= 0 ||= 1/1 ||= P1 ||= unison ||= D ||= ||

|| 0 || 0

||= 1 ||= 41.379 ||= 25/24~33/32~56/55~81/80 ||= ^1, vm2 ||= up unison,

0° || 1/1 || ||

downminor 2nd ||= D^, Ebv ||= ||

|| 1 || 41.379~~, 49.655~~

||= 2 ||= 82.759 ||= 21/20 ||= m2 ||= minor 2nd ||= Eb ||= [[xenharmonic/Nautilus|Nautilus]] ||

~~12°24'50"~~ || 25/24~33/32~56/55~81/80 || ||

||= 3 ||= 124.138 ||= 16/15, 15/14, 14/13, 13/12 ||= ^m2 ||= upminor 2nd ||= Eb^ ||= [[xenharmonic/Negri|Negri]]/[[xenharmonic/Negril|Negril]] ||

|| 2 || 82.759~~, 99.310~~

||= 4 ||= 165.517 ||= 12/11, 11/10 ||= vM2 ||= downmajor 2nd ||= Ev ||= [[xenharmonic/Porcupine|Porcupine]]/[[xenharmonic/Porky|Porky]]/[[xenharmonic/Coendou|Coendou]] ||

~~24°49'39"~~ || 21/20 || [[xenharmonic/Nautilus|Nautilus]] ||

||= 5 ||= 206.897 ||= 9/8 ||= M2 ||= major 2nd ||= E ||= ||

|| 3 || 124.138~~, [[tel/148.9655|148.9655]]~~

||= 6 ||= 248.276 ||= 8/7, 7/6, 15/13 ||= ^M2, vm3 ||= upmajor 2nd,

~~37°14'29"~~ || 16/15, 15/14, 14/13, 13/12 || [[xenharmonic/Negri|Negri]]/[[xenharmonic/Negril|Negril]] ||

downminor 3rd ||= E^, Fv ||= [[xenharmonic/Chromatic pairs#Bridgetown|Bridgetown]]/[[xenharmonic/Immunity|Immunity]] ||

|| 4 || 165.517~~, 198.621~~

||= 7· ||= 289.655 ||= 13/11 ||= m3 ||= minor 3rd ||= F ||= ||

~~49°39'19"~~ || 12/11, 11/10 || [[xenharmonic/Porcupine|Porcupine]]/[[xenharmonic/Porky|Porky]]/[[xenharmonic/Coendou|Coendou]] ||

||= 8 ||= 331.035 ||= 6/5, 11/9 ||= ^m3 ||= upminor 3rd ||= F^ ||= ||

|| 5 || 206.897~~, 248.276~~

||= 9 ||= 372.414 ||= 5/4, 16/13 ||= vM3 ||= downmajor 3rd ||= F#v ||= ||

~~62°4'8"~~ || 9/8 || ||

||= 10 ||= 413.793 ||= 14/11 ||= M3 ||= major 3rd ||= F# ||= [[xenharmonic/Roman|Roman]] ||

|| 6 || 248.276~~, 297.391~~

||= 11 ||= 455.172 ||= 9/7, 13/10 ||= ^M3, v4 ||= upmajor 3rd

~~74°28'58"~~ || 8/7, 7/6, 15/13 || [[xenharmonic/Chromatic pairs#Bridgetown|Bridgetown]]/[[xenharmonic/Immunity|Immunity]] ||

down 4th ||= F#^, Gv ||= [[xenharmonic/Ammonite|Ammonite]] ||

|| 7· || 289.655~~, 347.586~~

||= 12· ||= 496.552 ||= 4/3 ||= P4 ||= 4th ||= G ||= [[xenharmonic/Cassandra|Cassandra]] [[Chromatic pairs#Edson|Edson]] [[Chromatic pairs#Pepperoni|Pepperoni]] ||

~~86°53'48"~~ || 13/11 || ||

||= 13 ||= 537.931 ||= 11/8, 15/11 ||= ^4 ||= up 4th ||= G^ ||= [[Wilsec]] ||

|| 8 || 331.~~0345/1, 397.241~~

||= 14 ||= 579.310 ||= 7/5, 18/13 ||= vA4, d5 ||= downaug 4th,

~~99°18'37"~~ || 6/5, 11/9 || ||

dim 5th ||= G#v, Ab ||= [[xenharmonic/Tritonic|Tritonic]] ||

|| 9 || 372.414~~, 446.896~~

||= 15 ||= 620.690 ||= 10/7, 13/9 ||= A4, ^d5 ||= aug 4th,

~~111°43'27"~~ || 5/4, 16/13 || ||

updim 5th ||= G#, Ab^ ||= ||

|| 10 || 413.793~~, 496.552~~

||= 16 ||= 662.069 ||= 16/11, 22/15 ||= v5 ||= down 5th ||= Av ||= ||

~~124°8'17"~~ || 14/11 || [[xenharmonic/Roman|Roman]] ||

||= 17· ||= 703.448 ||= 3/2 ||= P5 ||= 5th ||= A ||= ||

|| 11 || 455.172~~, 546.207~~

||= 18 ||= 744.828 ||= 14/9, 20/13 ||= ^5, vm6 ||= up 5th,

~~136°33'6"~~ || 9/7, 13/10 || [[xenharmonic/Ammonite|Ammonite]] ||

downminor 6th ||= A^, Bbv ||= ||

|| 12· || 496.552~~, 595.862~~

||= 19 ||= 786.207 ||= 11/7 ||= m6 ||= minor 6th ||= Bb ||= ||

~~148°57'56"~~ || 4/3 || [[xenharmonic/Cassandra|Cassandra]] [[Chromatic pairs#Edson|Edson]] [[Chromatic pairs#Pepperoni|Pepperoni]] ||

||= 20 ||= 827.586 ||= 8/5, 13/8 ||= ^m6 ||= upminor 6th ||= Bb^ ||= ||

|| 13 || 537.931~~, 645.517~~

||= 21 ||= 868.965 ||= 5/3, 18/11 ||= vM6 ||= downmajor 6th ||= Bv ||= ||

~~161°21'46"~~ || 11/8, 15/11 || [[Wilsec]] ||

||= 22· ||= 910.345 ||= 22/13 ||= M6 ||= major 6th ||= B ||= ||

|| 14 || 579.310~~, 695.172~~

||= 23 ||= 951.724 ||= 7/4, 12/7, 26/15 ||= ^M6, vm7 ||= upmajor 6th,

~~173°46'35"~~ || 7/5, 18/13 || [[xenharmonic/Tritonic|Tritonic]] ||

downminor 7th ||= B^, Cv ||= ||

|| 15 || 620.690~~, 744.828~~

||= 24 ||= 993.103 ||= 16/9 ||= m7 ||= minor 7th ||= C ||= ||

~~186°13'25"~~ || 10/7, 13/9 || ||

||= 25 ||= 1034.483 ||= 11/6, 20/11 ||= ^m7 ||= upminor 7th ||= C^ ||= ||

|| 16 || 662.069~~, 794.483~~

||= 26 ||= 1075.862 ||= 15/8, 28/15, 13/7, 24/13 ||= vM7 ||= downmajor 7th ||= C#v ||= ||

~~198°38'14"~~ || 16/11, 22/15 || ||

||= 27 ||= 1117.241 ||= 40/21 ||= M7 ||= major 7th ||= C# ||= ||

|| 17· || 703.448~~, 844.138~~

||= 28 ||= 1158.621 ||= 48/25~64/33~55/28 ~160/81 ||= ^M7, v8 ||= upmajor 7th,

~~211°2'4"~~ || 3/2 || ||

down 8ve ||= C#^, Dv ||= ||

|| 18 || 744.828~~, 893.793~~

||= 29 ||= 1200 ||= 2/1 ||= P8 ||= 8ve ||= D ||= ||

~~223°26'54"~~ || 14/9, 20/13 || ||

|| 19 || 786.207~~, 943.448~~

~~235°51'43"~~ || 11/7 || ||

|| 20 || 827.586~~, 993.103~~

248°16'33* || 8/5, 13/8 || ||

|| 21 || 868.~~9655/1, 1042.759~~

~~262°41'23"~~ || 5/3, 18/11 || ||

|| 22· || 910.345~~, 1092.414~~

~~273°6'12"~~ || 22/13 || ||

|| 23 || 951.724~~, 1142.069~~

~~285°31'2"~~ || 7/4, 12/7, 26/15 || ||

|| 24 || 993.103~~, 1191.724~~

~~297°55'52"~~ || 16/9 || ||

|| 25 || 1034.483~~, 1241.379~~

~~310°20'41"~~ || 11/6, 20/11 || ||

|| 26 || 1075.862~~, 1291.0345~~

~~322°45'31"~~ || 15/8, 28/15, 13/7, 24/13 || ||

|| 27 || 1117.241~~, 1340.690~~

~~335°10'21"~~ || 40/21 || ||

|| 28 || 1158.621~~, 1390.345~~

~~347°35'10"~~ || 48/25~64/33~55/28 ~160/81 || ||

See also: [[29edo solfege]]

Chords can be named using ups and downs as C upminor, D downmajor seven, etc. See [[xenharmonic/Ups and Downs Notation#Chord%20names%20in%20other%20EDOs|Ups and Downs Notation - Chord names in other EDOs]].

[[image:29edothumb.png caption="this example in Sagittal notation shows 29-edo as a fifth-tone system."]]

Line 118:

Line 99:

=Commas=

29 EDO tempers out the following commas. (Note: This assumes the val < ~~[[tel:~~29 46 67 81 100 107~~|29 46 67 81 100 107]]/1~~ |, cent values rounded to 5 digits.)

29 EDO tempers out the following commas. (Note: This assumes the val < 29 46 67 81 100 107 |, cent values rounded to 5 digits.)

||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||

||= 16875/16384 || | -14 3 4 > ||> 51.120 ||= Negri Comma ||= Double Augmentation Diesis ||

Line 200:

Line 181:

<tr>

<th>~~Degrees of 29-EDO~~

<th>Degree

</th>

<th>Cents

</th>

<th>~~Cents value coarse~~/~~fine~~

<th>Approx. ratiosof the <a class="wiki_link" href="/15-limit">15-limit</a>

~~DMS value~~

</th>

<th>~~Approx. ratios of the~~ <a class="wiki_link" href="/~~15-limit~~">~~15-limit~~</a>

<th colspan="3"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation">Ups and downs</a> notation

</th>

<th>Generator for temperaments

Line 211:

Line 193:

</tr>

<tr>

<td>0

<td style="text-align: center;">0

</td>

<td style="text-align: center;">0

</td>

<td style="text-align: center;">1/1

</td>

<td style="text-align: center;">P1

</td>

<td style="text-align: center;">unison

</td>

<td style="text-align: center;">D

</td>

</td>

</tr>

<tr>

<td style="text-align: center;">1

</td>

<td style="text-align: center;">41.379

</td>

<td style="text-align: center;">25/24~33/32~56/55~81/80

</td>

<td style="text-align: center;">^1, vm2

</td>

<td>0

<td style="text-align: center;">up unison,

0°

downminor 2nd

</td>

<td>~~1/1~~

<td style="text-align: center;">D^, Ebv

</td>

<td>

</td>

</tr>

<tr>

<td>1

<td style="text-align: center;">2

</td>

<td style="text-align: center;">82.759

</td>

<td style="text-align: center;">21/20

</td>

<td style="text-align: center;">m2

</td>

<td~~>41.379, 49.655&lt~~;~~br /~~>

<td style="text-align: center;">minor 2nd

~~12°24'50&quot;~~

</td>

<td>~~25/24~33/32~56/55~81/80~~

<td style="text-align: center;">Eb

</td>

<td>

<td style="text-align: center;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Nautilus">Nautilus</a>

</td>

</tr>

<tr>

<td>2

<td style="text-align: center;">3

</td>

<td style="text-align: center;">124.138

</td>

<td style="text-align: center;">16/15, 15/14, 14/13, 13/12

</td>

<td style="text-align: center;">^m2

</td>

<td~~>82.759, 99.310&lt~~;~~br /~~>

<td style="text-align: center;">upminor 2nd

~~24°49'39&quot;~~

</td>

<td>~~21/20~~

<td style="text-align: center;">Eb^

</td>

<td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/~~Nautilus~~">~~Nautilus~~</a>

<td style="text-align: center;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Negri">Negri</a>/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Negril">Negril</a>

</td>

</tr>

<tr>

<td>3

<td style="text-align: center;">4

</td>

<td~~>124.138, <a class~~="~~wiki_link" href="http~~:~~//tel.wikispaces.com/148.9655~~">~~148~~.~~9655</a> ~~

<td style="text-align: center;">165.517

~~37°14'29&quot;~~

</td>

<td>~~16/15, 15~~/14, 14/~~13, 13/12~~

<td style="text-align: center;">12/11, 11/10

</td>

<td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/~~Negri~~">~~Negri~~</a>/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/~~Negril~~">~~Negril~~</a>

<td style="text-align: center;">vM2

</td>

<td style="text-align: center;">downmajor 2nd

</td>

<td style="text-align: center;">Ev

</td>

<td style="text-align: center;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Porcupine">Porcupine</a>/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Porky">Porky</a>/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Coendou">Coendou</a>

</td>

</tr>

<tr>

<td>4

<td style="text-align: center;">5

</td>

<td style="text-align: center;">206.897

</td>

<td>~~165.517, 198.621<br~~ /~~>~~

<td style="text-align: center;">9/8

~~49°39'19&quot;~~

</td>

<td>~~12/11, 11/10~~

<td style="text-align: center;">M2

</td>

<td><~~a class="wiki_link" href="http:~~/~~/xenharmonic.wikispaces.com/Porcupine"~~>~~Porcupine~~</a>/<~~a class~~="~~wiki_link" href="http~~:~~//xenharmonic.wikispaces.com/Porky~~">~~Porky~~</a>/<~~a class="wiki_link" href="http:~~/~~/xenharmonic.wikispaces.com/Coendou"~~>~~Coendou~~</a>

<td style="text-align: center;">major 2nd

</td>

<td style="text-align: center;">E

</td>

</td>

</tr>

<tr>

<td>5

<td style="text-align: center;">6

</td>

<td style="text-align: center;">248.276

</td>

<td style="text-align: center;">8/7, 7/6, 15/13

</td>

<td style="text-align: center;">^M2, vm3

</td>

<td>~~206.897~~, ~~248.276~~

<td style="text-align: center;">upmajor 2nd,

~~62°4'8&quot;~~

downminor 3rd

</td>

<td>~~9/8~~

<td style="text-align: center;">E^, Fv

</td>

<td>

<td style="text-align: center;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chromatic%20pairs#Bridgetown">Bridgetown</a>/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Immunity">Immunity</a>

</td>

</tr>

<tr>

<td>6

<td style="text-align: center;">7·

</td>

<td style="text-align: center;">289.655

</td>

<td style="text-align: center;">13/11

</td>

<td style="text-align: center;">m3

</td>

<td~~>248.276, 297.391&lt~~;~~br /~~>

<td style="text-align: center;">minor 3rd

~~74°28'58&quot;~~

</td>

<td>~~8/7, 7/6, 15/13~~

<td style="text-align: center;">F

</td>

<td~~><a class~~="~~wiki_link" href="http~~:~~//xenharmonic.wikispaces.com/Chromatic%20pairs#Bridgetown">Bridgetown</a&gt~~;~~/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Immunity~~"~~>Immunity</a~~>

</td>

</tr>

<tr>

<td>7·

<td style="text-align: center;">8

</td>

<td style="text-align: center;">331.035

</td>

<td>~~289.655~~, ~~347.586<br~~ /~~>~~

<td style="text-align: center;">6/5, 11/9

~~86°53'48&quot;~~

</td>

<td>~~13/11~~

<td style="text-align: center;">^m3

</td>

<td>

<td style="text-align: center;">upminor 3rd

</td>

<td style="text-align: center;">F^

</td>

</td>

</tr>

<tr>

<td>8

<td style="text-align: center;">9

</td>

<td style="text-align: center;">372.414

</td>

<td>~~331.0345~~/1, ~~397.241<br~~ /~~>~~

<td style="text-align: center;">5/4, 16/13

~~99°18'37&quot;~~

</td>

<td>~~6/5, 11/9~~

<td style="text-align: center;">vM3

</td>

<td>

<td style="text-align: center;">downmajor 3rd

</td>

<td style="text-align: center;">F#v

</td>

</td>

</tr>

<tr>

<td>9

<td style="text-align: center;">10

</td>

<td style="text-align: center;">413.793

</td>

<td style="text-align: center;">14/11

</td>

<td style="text-align: center;">M3

</td>

<td~~>372.414, 446.896&lt~~;~~br /~~>

<td style="text-align: center;">major 3rd

~~111°43'27&quot;~~

</td>

<td>~~5/4, 16/13~~

<td style="text-align: center;">F#

</td>

<td>

<td style="text-align: center;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Roman">Roman</a>

</td>

</tr>

<tr>

<td>10

<td style="text-align: center;">11

</td>

<td style="text-align: center;">455.172

</td>

<td style="text-align: center;">9/7, 13/10

</td>

<td style="text-align: center;">^M3, v4

</td>

<td>~~413.793, 496.552~~

<td style="text-align: center;">upmajor 3rd

~~124°8'17&quot;~~

down 4th

</td>

<td>~~14/11~~

<td style="text-align: center;">F#^, Gv

</td>

<td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/~~Roman~~">~~Roman~~</a>

<td style="text-align: center;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ammonite">Ammonite</a>

</td>

</tr>

<tr>

<td>11

<td style="text-align: center;">12·

</td>

<td style="text-align: center;">496.552

</td>

<td style="text-align: center;">4/3

</td>

<td~~>455.172, 546.207&lt~~;~~br /~~>

<td style="text-align: center;">P4

~~136°33'6&quot;~~

</td>

<td>~~9/7, 13/10~~

<td style="text-align: center;">4th

</td>

<td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/~~Ammonite~~">~~Ammonite~~</a>

<td style="text-align: center;">G

</td>

<td style="text-align: center;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Cassandra">Cassandra</a> <a class="wiki_link" href="/Chromatic%20pairs#Edson">Edson</a> <a class="wiki_link" href="/Chromatic%20pairs#Pepperoni">Pepperoni</a>

</td>

</tr>

<tr>

<td>~~12·~~

<td style="text-align: center;">13

</td>

<td>~~496~~.~~552, 595.862 ~~

<td style="text-align: center;">537.931

~~148°57'56&quot;~~

</td>

<td>4/3

<td style="text-align: center;">11/8, 15/11

</td>

<td><~~a class~~="~~wiki_link~~" ~~href="http://xenharmonic.wikispaces.com~~/~~Cassandra"~~>~~Cassandra~~</a> <~~a class~~="~~wiki_link" href=~~"/~~Chromatic%20pairs#Edson"~~>~~Edson~~</a> <a class="wiki_link" href="/~~Chromatic%20pairs#Pepperoni~~">~~Pepperoni~~</a>

<td style="text-align: center;">^4

</td>

<td style="text-align: center;">up 4th

</td>

<td style="text-align: center;">G^

</td>

<td style="text-align: center;"><a class="wiki_link" href="/Wilsec">Wilsec</a>

</td>

</tr>

<tr>

<td>13

<td style="text-align: center;">14

</td>

<td>~~537~~.~~931, 645.517 ~~

<td style="text-align: center;">579.310

~~161°21'46&quot;~~

</td>

<td>11/8, 15/11

<td style="text-align: center;">7/5, 18/13

</td>

<td><a class="wiki_link" href="/~~Wilsec~~">~~Wilsec~~</a>

<td style="text-align: center;">vA4, d5

</td>

<td style="text-align: center;">downaug 4th,

dim 5th

</td>

<td style="text-align: center;">G#v, Ab

</td>

<td style="text-align: center;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tritonic">Tritonic</a>

</td>

</tr>

<tr>

<td>14

<td style="text-align: center;">15

</td>

<td style="text-align: center;">620.690

</td>

<td style="text-align: center;">10/7, 13/9

</td>

<td style="text-align: center;">A4, ^d5

</td>

<td>~~579.310~~, ~~695.172~~

<td style="text-align: center;">aug 4th,

~~173°46'35&quot;~~

updim 5th

</td>

<td>~~7/5~~, ~~18/13~~

<td style="text-align: center;">G#, Ab^

</td>

<td~~><a class="wiki_link" href~~="~~http~~:~~//xenharmonic.wikispaces.com/Tritonic~~"~~>Tritonic</a~~>

</td>

</tr>

<tr>

<td>15

<td style="text-align: center;">16

</td>

<td style="text-align: center;">662.069

</td>

<td style="text-align: center;">16/11, 22/15

</td>

<td style="text-align: center;">v5

</td>

<td~~>620.690, 744.828&lt~~;~~br /~~>

<td style="text-align: center;">down 5th

~~186°13'25&quot;~~

</td>

<td>~~10/7, 13/9~~

<td style="text-align: center;">Av

</td>

<td>

</td>

</tr>

<tr>

<td>16

<td style="text-align: center;">17·

</td>

<td>~~662~~.~~069, 794.483 ~~

<td style="text-align: center;">703.448

~~198°38'14&quot;~~

</td>

<td>~~16/11, 22~~/15

<td style="text-align: center;">3/2

</td>

<td>

<td style="text-align: center;">P5

</td>

<td style="text-align: center;">5th

</td>

<td style="text-align: center;">A

</td>

</td>

</tr>

<tr>

<td>~~17·~~

<td style="text-align: center;">18

</td>

<td>~~703~~.~~448, 844.138 ~~

<td style="text-align: center;">744.828

~~211°2'4&quot;~~

</td>

<td>3/2

<td style="text-align: center;">14/9, 20/13

</td>

<td>

<td style="text-align: center;">^5, vm6

</td>

<td style="text-align: center;">up 5th,

downminor 6th

</td>

<td style="text-align: center;">A^, Bbv

</td>

</td>

</tr>

<tr>

<td>18

<td style="text-align: center;">19

</td>

<td style="text-align: center;">786.207

</td>

<td style="text-align: center;">11/7

</td>

<td style="text-align: center;">m6

</td>

<td~~>744.828, 893.793&lt~~;~~br /~~>

<td style="text-align: center;">minor 6th

~~223°26'54&quot;~~

</td>

<td>~~14/9, 20/13~~

<td style="text-align: center;">Bb

</td>

<td>

</td>

</tr>

<tr>

<td>19

<td style="text-align: center;">20

</td>

<td style="text-align: center;">827.586

</td>

<td style="text-align: center;">8/5, 13/8

</td>

<td style="text-align: center;">^m6

</td>

<td~~>786.207, 943.448&lt~~;~~br /~~>

<td style="text-align: center;">upminor 6th

~~235°51'43&quot;~~

</td>

<td>~~11/7~~

<td style="text-align: center;">Bb^

</td>

<td>

</td>

</tr>

<tr>

<td>20

<td style="text-align: center;">21

</td>

<td>~~827.586, 993~~.~~103 ~~

<td style="text-align: center;">868.965

248°16'33*

</td>

<td>8/5, 13/8

<td style="text-align: center;">5/3, 18/11

</td>

<td>

<td style="text-align: center;">vM6

</td>

<td style="text-align: center;">downmajor 6th

</td>

<td style="text-align: center;">Bv

</td>

</td>

</tr>

<tr>

<td>21

<td style="text-align: center;">22·

</td>

<td style="text-align: center;">910.345

</td>

<td style="text-align: center;">22/13

</td>

<td style="text-align: center;">M6

</td>

<td~~>868.9655/1, 1042.759&lt~~;~~br /~~>

<td style="text-align: center;">major 6th

~~262°41'23&quot;~~

</td>

<td>~~5/3, 18/11~~

<td style="text-align: center;">B

</td>

<td>

</td>

</tr>

<tr>

<td>~~22·~~

<td style="text-align: center;">23

</td>

<td style="text-align: center;">951.724

</td>

<td style="text-align: center;">7/4, 12/7, 26/15

</td>

<td style="text-align: center;">^M6, vm7

</td>

<td>~~910.345~~, ~~1092.414~~

<td style="text-align: center;">upmajor 6th,

~~273°6'12&quot;~~

downminor 7th

</td>

<td>~~22/13~~

<td style="text-align: center;">B^, Cv

</td>

<td>

</td>

</tr>

<tr>

<td>23

<td style="text-align: center;">24

</td>

<td style="text-align: center;">993.103

</td>

<td style="text-align: center;">16/9

</td>

<td~~>951.724, 1142.069&lt~~;~~br /~~>

<td style="text-align: center;">m7

~~285°31'2&quot;~~

</td>

<td>~~7/4, 12/7, 26/15~~

<td style="text-align: center;">minor 7th

</td>

<td>

<td style="text-align: center;">C

</td>

</td>

</tr>

<tr>

<td>24

<td style="text-align: center;">25

</td>

<td style="text-align: center;">1034.483

</td>

<td style="text-align: center;">11/6, 20/11

</td>

<td~~>993.103, 1191.724&lt~~;~~br /~~>

<td style="text-align: center;">^m7

~~297°55'52&quot;~~

</td>

<td>~~16/9~~

<td style="text-align: center;">upminor 7th

</td>

<td>

<td style="text-align: center;">C^

</td>

</td>

</tr>

<tr>

<td>25

<td style="text-align: center;">26

</td>

<td style="text-align: center;">1075.862

</td>

<td style="text-align: center;">15/8, 28/15, 13/7, 24/13

</td>

<td style="text-align: center;">vM7

</td>

<td~~>1034.483, 1241.379&lt~~;~~br /~~>

<td style="text-align: center;">downmajor 7th

~~310°20'41&quot;~~

</td>

<td>~~11/6, 20/11~~

<td style="text-align: center;">C#v

</td>

<td>

</td>

</tr>

<tr>

<td>26

<td style="text-align: center;">27

</td>

<td style="text-align: center;">1117.241

</td>

<td style="text-align: center;">40/21

</td>

<td style="text-align: center;">M7

</td>

<td~~>1075.862, 1291.0345&lt~~;~~br /~~>

<td style="text-align: center;">major 7th

~~322°45'31&quot;~~

</td>

<td>~~15/8, 28/15, 13/7, 24/13~~

<td style="text-align: center;">C#

</td>

<td>

</td>

</tr>

<tr>

<td>27

<td style="text-align: center;">28

</td>

<td style="text-align: center;">1158.621

</td>

<td>~~1117.241, 1340.690<br~~ /~~>~~

<td style="text-align: center;">48/25~64/33~55/28 ~160/81

~~335°10'21&quot;~~

</td>

<td>~~40/21~~

<td style="text-align: center;">^M7, v8

</td>

<td>

<td style="text-align: center;">upmajor 7th,

down 8ve

</td>

<td style="text-align: center;">C#^, Dv

</td>

</td>

</tr>

<tr>

<td>28

<td style="text-align: center;">29

</td>

<td style="text-align: center;">1200

</td>

<td>~~1158.621, 1390.345<br~~ /~~>~~

<td style="text-align: center;">2/1

~~347°35'10&quot;~~

</td>

<td>~~48/25~64/33~55/28 ~160/81~~

<td style="text-align: center;">P8

</td>

<td>

<td style="text-align: center;">8ve

</td>

<td style="text-align: center;">D

</td>

</td>

</tr>

Line 532:

Line 683:

See also: <a class="wiki_link" href="/29edo%20solfege">29edo solfege</a>

<table class="captionBox"><tr><td class="captionedImage"><img src="/file/view/29edothumb.png/277524658/29edothumb.png" alt="29edothumb.png" title="29edothumb.png" /></td></tr><tr><td class="imageCaption">this example in Sagittal notation shows 29-edo as a fifth-tone system.</td></tr></table>

Chords can be named using ups and downs as C upminor, D downmajor seven, etc. See <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation#Chord%20names%20in%20other%20EDOs">Ups and Downs Notation - Chord names in other EDOs</a>.

<table class="captionBox"><tr><td class="captionedImage"><img src="/file/view/29edothumb.png/277524658/29edothumb.png" alt="29edothumb.png" title="29edothumb.png" /></td></tr><tr><td class="imageCaption">this example in Sagittal notation shows 29-edo as a fifth-tone system.</td></tr></table>

<h2 id="toc2"><a name="Intervals and linear temperaments-Selected just intervals by error"></a>Selected just intervals by error</h2>

Line 693:

Line 846:

<h1 id="toc3"><a name="Commas"></a>Commas</h1>

29 EDO tempers out the following commas. (Note: This assumes the val &lt~~; <a class="wiki_link" href="http://tel.wikispaces.com/29%2046%2067%2081%20100%20107"&gt~~;29 46 67 81 100 107~~</a>/1~~ |, cent values rounded to 5 digits.)

29 EDO tempers out the following commas. (Note: This assumes the val &lt; 29 46 67 81 100 107 |, cent values rounded to 5 digits.)

Line 982:

Line 1,135:

<ul><li><h4 id="toc8"><a name="Music-Instruments--Guitar 29EDO from Peruvian - Charles Loli and Antonio Huamani"></a><a class="wiki_link_ext" href="http://www.microtonalismo.com/proyecto-xvii" rel="nofollow">Guitar 29EDO from Peruvian - Charles Loli and Antonio Huamani</a></h4>

<img src="http://content.pimp-my-profile.com/i116/2/10/29/f_735065b21747.jpg" alt="external image f_735065b21747.jpg" title="external image f_735065b21747.jpg" style="height: 891px; width: 321px;" /></li></ul>

<img src="http://content.pimp-my-profile.com/i116/2/10/29/f_735065b21747.jpg" alt="external image f_735065b21747.jpg" title="external image f_735065b21747.jpg" style="height: 891px; width: 321px;" /></li></ul>

<ul><li><h4 id="toc9"><a name="Music-Instruments--Bass 29EDO from Peruvian - Charles Loli and Antonio Huamani"></a><a class="wiki_link_ext" href="http://www.microtonalismo.com/proyecto-xvii" rel="nofollow">Bass 29EDO from Peruvian - Charles Loli and Antonio Huamani</a></h4>

<img src="https://fbcdn-sphotos-c-a.akamaihd.net/hphotos-ak-prn1/r90/550502_538613626155939_2005925977_n.jpg" alt="external image 550502_538613626155939_2005925977_n.jpg" title="external image 550502_538613626155939_2005925977_n.jpg" style="height: 936px; width: 305px;" /></li></ul></body></html></pre></div>

<img src="https://fbcdn-sphotos-c-a.akamaihd.net/hphotos-ak-prn1/r90/550502_538613626155939_2005925977_n.jpg" alt="external image 550502_538613626155939_2005925977_n.jpg" title="external image 550502_538613626155939_2005925977_n.jpg" style="height: 936px; width: 305px;" /></li></ul></body></html></pre></div>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-05 15:21:13 UTC</tt>.<br>
+: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-12-28 02:59:16 UTC</tt>.<br>
-: The original revision id was <tt>601450260</tt>.<br>
+: The original revision id was <tt>602864728</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>
@@ Line 26: / Line 26: @@
 [[List of 29et rank two temperaments by badness]]
-||~ Degrees of 29-EDO ||~ Cents value coarse/fine
+||~ Degree ||~ Cents ||~ Approx. ratiosof the [[15-limit]] ||||||~ [[xenharmonic/Ups and Downs Notation|Ups and downs]] notation ||~ Generator for temperaments ||
-DMS value ||~ Approx. ratios of the [[15-limit]] ||~ Generator for temperaments ||
+||= 0 ||= 0 ||= 1/1 ||= P1 ||= unison ||= D ||=   ||
-|| 0 || 0
+||= 1 ||= 41.379 ||= 25/24~33/32~56/55~81/80 ||= ^1, vm2 ||= up unison,
-° || 1/1 ||   ||
+downminor 2nd ||= D^, Ebv ||=   ||
-|| 1 || 41.379, 49.655
+||= 2 ||= 82.759 ||= 21/20 ||= m2 ||= minor 2nd ||= Eb ||= [[xenharmonic/Nautilus|Nautilus]] ||
-°24'50" || 25/24~33/32~56/55~81/80 ||   ||
+||= 3 ||= 124.138 ||= 16/15, 15/14, 14/13, 13/12 ||= ^m2 ||= upminor 2nd ||= Eb^ ||= [[xenharmonic/Negri|Negri]]/[[xenharmonic/Negril|Negril]] ||
-|| 2 || 82.759, 99.310
+||= 4 ||= 165.517 ||= 12/11, 11/10 ||= vM2 ||= downmajor 2nd ||= Ev ||= [[xenharmonic/Porcupine|Porcupine]]/[[xenharmonic/Porky|Porky]]/[[xenharmonic/Coendou|Coendou]] ||
-°49'39" || 21/20 || [[xenharmonic/Nautilus|Nautilus]] ||
+||= 5 ||= 206.897 ||= 9/8 ||= M2 ||= major 2nd ||= E ||=   ||
-|| 3 || 124.138, [[tel/148.9655|148.9655]]
+||= 6 ||= 248.276 ||= 8/7, 7/6, 15/13 ||= ^M2, vm3 ||= upmajor 2nd,
-°14'29" || 16/15, 15/14, 14/13, 13/12 || [[xenharmonic/Negri|Negri]]/[[xenharmonic/Negril|Negril]] ||
+downminor 3rd ||= E^, Fv ||= [[xenharmonic/Chromatic pairs#Bridgetown|Bridgetown]]/[[xenharmonic/Immunity|Immunity]] ||
-|| 4 || 165.517, 198.621
+||= 7· ||= 289.655 ||= 13/11 ||= m3 ||= minor 3rd ||= F ||=   ||
-°39'19" || 12/11, 11/10 || [[xenharmonic/Porcupine|Porcupine]]/[[xenharmonic/Porky|Porky]]/[[xenharmonic/Coendou|Coendou]] ||
+||= 8 ||= 331.035 ||= 6/5, 11/9 ||= ^m3 ||= upminor 3rd ||= F^ ||=   ||
-|| 5 || 206.897, 248.276
+||= 9 ||= 372.414 ||= 5/4, 16/13 ||= vM3 ||= downmajor 3rd ||= F#v ||=   ||
-°4'8" || 9/8 ||   ||
+||= 10 ||= 413.793 ||= 14/11 ||= M3 ||= major 3rd ||= F# ||= [[xenharmonic/Roman|Roman]] ||
-|| 6 || 248.276, 297.391
+||= 11 ||= 455.172 ||= 9/7, 13/10 ||= ^M3, v4 ||= upmajor 3rd
-°28'58" || 8/7, 7/6, 15/13 || [[xenharmonic/Chromatic pairs#Bridgetown|Bridgetown]]/[[xenharmonic/Immunity|Immunity]] ||
+down 4th ||= F#^, Gv ||= [[xenharmonic/Ammonite|Ammonite]] ||
-|| 7· || 289.655, 347.586
+||= 12· ||= 496.552 ||= 4/3 ||= P4 ||= 4th ||= G ||= [[xenharmonic/Cassandra|Cassandra]] [[Chromatic pairs#Edson|Edson]] [[Chromatic pairs#Pepperoni|Pepperoni]] ||
-°53'48" || 13/11 ||   ||
+||= 13 ||= 537.931 ||= 11/8, 15/11 ||= ^4 ||= up 4th ||= G^ ||= [[Wilsec]] ||
-|| 8 || 331.0345/1, 397.241
+||= 14 ||= 579.310 ||= 7/5, 18/13 ||= vA4, d5 ||= downaug 4th,
-°18'37" || 6/5, 11/9 ||   ||
+dim 5th ||= G#v, Ab ||= [[xenharmonic/Tritonic|Tritonic]] ||
-|| 9 || 372.414, 446.896
+||= 15 ||= 620.690 ||= 10/7, 13/9 ||= A4, ^d5 ||= aug 4th,
-°43'27" || 5/4, 16/13 ||   ||
+updim 5th ||= G#, Ab^ ||=   ||
-|| 10 || 413.793, 496.552
+||= 16 ||= 662.069 ||= 16/11, 22/15 ||= v5 ||= down 5th ||= Av ||=   ||
-°8'17" || 14/11 || [[xenharmonic/Roman|Roman]] ||
+||= 17· ||= 703.448 ||= 3/2 ||= P5 ||= 5th ||= A ||=   ||
-|| 11 || 455.172, 546.207
+||= 18 ||= 744.828 ||= 14/9, 20/13 ||= ^5, vm6 ||= up 5th,
-°33'6" || 9/7, 13/10 || [[xenharmonic/Ammonite|Ammonite]] ||
+downminor 6th ||= A^, Bbv ||=   ||
-|| 12· || 496.552, 595.862
+||= 19 ||= 786.207 ||= 11/7 ||= m6 ||= minor 6th ||= Bb ||=   ||
-°57'56" || 4/3 || [[xenharmonic/Cassandra|Cassandra]] [[Chromatic pairs#Edson|Edson]] [[Chromatic pairs#Pepperoni|Pepperoni]] ||
+||= 20 ||= 827.586 ||= 8/5, 13/8 ||= ^m6 ||= upminor 6th ||= Bb^ ||=   ||
-|| 13 || 537.931, 645.517
+||= 21 ||= 868.965 ||= 5/3, 18/11 ||= vM6 ||= downmajor 6th ||= Bv ||=   ||
-°21'46" || 11/8, 15/11 || [[Wilsec]] ||
+||= 22· ||= 910.345 ||= 22/13 ||= M6 ||= major 6th ||= B ||=   ||
-|| 14 || 579.310, 695.172
+||= 23 ||= 951.724 ||= 7/4, 12/7, 26/15 ||= ^M6, vm7 ||= upmajor 6th,
-°46'35" || 7/5, 18/13 || [[xenharmonic/Tritonic|Tritonic]] ||
+downminor 7th ||= B^, Cv ||=   ||
-|| 15 || 620.690, 744.828
+||= 24 ||= 993.103 ||= 16/9 ||= m7 ||= minor 7th ||= C ||=   ||
-°13'25" || 10/7, 13/9 ||   ||
+||= 25 ||= 1034.483 ||= 11/6, 20/11 ||= ^m7 ||= upminor 7th ||= C^ ||=   ||
-|| 16 || 662.069, 794.483
+||= 26 ||= 1075.862 ||= 15/8, 28/15, 13/7, 24/13 ||= vM7 ||= downmajor 7th ||= C#v ||=   ||
-°38'14" || 16/11, 22/15 ||   ||
+||= 27 ||= 1117.241 ||= 40/21 ||= M7 ||= major 7th ||= C# ||=   ||
-|| 17· || 703.448, 844.138
+||= 28 ||= 1158.621 ||= 48/25~64/33~55/28 ~160/81 ||= ^M7, v8 ||= upmajor 7th,
-°2'4" || 3/2 ||   ||
+down 8ve ||= C#^, Dv ||=   ||
-|| 18 || 744.828, 893.793
+||= 29 ||= 1200 ||= 2/1 ||= P8 ||= 8ve ||= D ||=   ||
-°26'54" || 14/9, 20/13 ||   ||
-|| 19 || 786.207, 943.448
-°51'43" || 11/7 ||   ||
-|| 20 || 827.586, 993.103
-°16'33* || 8/5, 13/8 ||   ||
-|| 21 || 868.9655/1, 1042.759
-°41'23" || 5/3, 18/11 ||   ||
-|| 22· || 910.345, 1092.414
-°6'12" || 22/13 ||   ||
-|| 23 || 951.724, 1142.069
-°31'2" || 7/4, 12/7, 26/15 ||   ||
-|| 24 || 993.103, 1191.724
-°55'52" || 16/9 ||   ||
-|| 25 || 1034.483, 1241.379
-°20'41" || 11/6, 20/11 ||   ||
-|| 26 || 1075.862, 1291.0345
-°45'31" || 15/8, 28/15, 13/7, 24/13 ||   ||
-|| 27 || 1117.241, 1340.690
-°10'21" || 40/21 ||   ||
-|| 28 || 1158.621, 1390.345
-°35'10" || 48/25~64/33~55/28 ~160/81 ||   ||
 See also: [[29edo solfege]]
+Chords can be named using ups and downs as C upminor, D downmajor seven, etc. See [[xenharmonic/Ups and Downs Notation#Chord%20names%20in%20other%20EDOs|Ups and Downs Notation - Chord names in other EDOs]].
 [[image:29edothumb.png caption="this example in Sagittal notation shows 29-edo as a fifth-tone system."]]
@@ Line 118: / Line 99: @@
 =Commas=
-EDO tempers out the following commas. (Note: This assumes the val &lt; [[tel:29 46 67 81 100 107|29 46 67 81 100 107]]/1 |, cent values rounded to 5 digits.)
+EDO tempers out the following commas. (Note: This assumes the val &lt; 29 46 67 81 100 107 |, cent values rounded to 5 digits.)
 ||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||
 ||= 16875/16384 || | -14 3 4 &gt; ||&gt; 51.120 ||= Negri Comma ||= Double Augmentation Diesis ||
@@ Line 200: / Line 181: @@
 &lt;table class="wiki_table"&gt;
      &lt;tr&gt;
-         &lt;th&gt;Degrees of 29-EDO&lt;br /&gt;
+         &lt;th&gt;Degree&lt;br /&gt;
+&lt;/th&gt;
+        &lt;th&gt;Cents&lt;br /&gt;
 &lt;/th&gt;
-         &lt;th&gt;Cents value coarse/fine&lt;br /&gt;
+         &lt;th&gt;Approx. ratiosof the &lt;a class="wiki_link" href="/15-limit"&gt;15-limit&lt;/a&gt;&lt;br /&gt;
-DMS value&lt;br /&gt;
 &lt;/th&gt;
-         &lt;th&gt;Approx. ratios of the &lt;a class="wiki_link" href="/15-limit"&gt;15-limit&lt;/a&gt;&lt;br /&gt;
+         &lt;th colspan="3"&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation"&gt;Ups and downs&lt;/a&gt; notation&lt;br /&gt;
 &lt;/th&gt;
          &lt;th&gt;Generator for temperaments&lt;br /&gt;
@@ Line 211: / Line 193: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;0&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;0&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;0&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;P1&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;unison&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;D&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: center;"&gt;1&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;41.379&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;25/24~33/32~56/55~81/80&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;^1, vm2&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;0&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;up unison,&lt;br /&gt;
-°&lt;br /&gt;
+downminor 2nd&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1/1&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;D^, Ebv&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;1&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;2&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;82.759&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;21/20&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;m2&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;41.379, 49.655&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;minor 2nd&lt;br /&gt;
-°24'50&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;25/24~33/32~56/55~81/80&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Eb&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Nautilus"&gt;Nautilus&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;2&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;3&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;124.138&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;16/15, 15/14, 14/13, 13/12&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;^m2&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;82.759, 99.310&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;upminor 2nd&lt;br /&gt;
-°49'39&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;21/20&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Eb^&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Nautilus"&gt;Nautilus&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Negri"&gt;Negri&lt;/a&gt;/&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Negril"&gt;Negril&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;3&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;4&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;124.138, &lt;a class="wiki_link" href="http://tel.wikispaces.com/148.9655"&gt;148.9655&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;165.517&lt;br /&gt;
-°14'29&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;16/15, 15/14, 14/13, 13/12&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;12/11, 11/10&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Negri"&gt;Negri&lt;/a&gt;/&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Negril"&gt;Negril&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;vM2&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;downmajor 2nd&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;Ev&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Porcupine"&gt;Porcupine&lt;/a&gt;/&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Porky"&gt;Porky&lt;/a&gt;/&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Coendou"&gt;Coendou&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;4&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;5&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;206.897&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;165.517, 198.621&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;9/8&lt;br /&gt;
-°39'19&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;12/11, 11/10&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;M2&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Porcupine"&gt;Porcupine&lt;/a&gt;/&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Porky"&gt;Porky&lt;/a&gt;/&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Coendou"&gt;Coendou&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;major 2nd&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;E&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;5&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;6&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;248.276&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;8/7, 7/6, 15/13&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;^M2, vm3&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;206.897, 248.276&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;upmajor 2nd,&lt;br /&gt;
-°4'8&amp;quot;&lt;br /&gt;
+downminor 3rd&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;9/8&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;E^, Fv&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chromatic%20pairs#Bridgetown"&gt;Bridgetown&lt;/a&gt;/&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Immunity"&gt;Immunity&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;6&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;7·&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;289.655&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;13/11&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;m3&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;248.276, 297.391&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;minor 3rd&lt;br /&gt;
-°28'58&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;8/7, 7/6, 15/13&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;F&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chromatic%20pairs#Bridgetown"&gt;Bridgetown&lt;/a&gt;/&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Immunity"&gt;Immunity&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;7·&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;8&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;331.035&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;289.655, 347.586&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;6/5, 11/9&lt;br /&gt;
-°53'48&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;13/11&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;^m3&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;upminor 3rd&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;F^&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;8&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;9&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;372.414&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;331.0345/1, 397.241&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;5/4, 16/13&lt;br /&gt;
-°18'37&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;6/5, 11/9&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;vM3&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;downmajor 3rd&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;F#v&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;9&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;10&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;413.793&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;14/11&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;M3&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;372.414, 446.896&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;major 3rd&lt;br /&gt;
-°43'27&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;5/4, 16/13&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;F#&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Roman"&gt;Roman&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;10&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;11&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;455.172&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;9/7, 13/10&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;^M3, v4&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;413.793, 496.552&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;upmajor 3rd &lt;br /&gt;
-°8'17&amp;quot;&lt;br /&gt;
+down 4th&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;14/11&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;F#^, Gv&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Roman"&gt;Roman&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ammonite"&gt;Ammonite&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;11&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;12·&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;496.552&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;4/3&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;455.172, 546.207&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;P4&lt;br /&gt;
-°33'6&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;9/7, 13/10&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;4th&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ammonite"&gt;Ammonite&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;G&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Cassandra"&gt;Cassandra&lt;/a&gt; &lt;a class="wiki_link" href="/Chromatic%20pairs#Edson"&gt;Edson&lt;/a&gt; &lt;a class="wiki_link" href="/Chromatic%20pairs#Pepperoni"&gt;Pepperoni&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;12·&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;13&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;496.552, 595.862&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;537.931&lt;br /&gt;
-°57'56&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;4/3&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;11/8, 15/11&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Cassandra"&gt;Cassandra&lt;/a&gt; &lt;a class="wiki_link" href="/Chromatic%20pairs#Edson"&gt;Edson&lt;/a&gt; &lt;a class="wiki_link" href="/Chromatic%20pairs#Pepperoni"&gt;Pepperoni&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;^4&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;up 4th&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;G^&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/Wilsec"&gt;Wilsec&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;13&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;14&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;537.931, 645.517&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;579.310&lt;br /&gt;
-°21'46&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;11/8, 15/11&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;7/5, 18/13&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/Wilsec"&gt;Wilsec&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;vA4, d5&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;downaug 4th,&lt;br /&gt;
+dim 5th&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;G#v, Ab&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tritonic"&gt;Tritonic&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;14&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;15&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;620.690&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;10/7, 13/9&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;A4, ^d5&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;579.310, 695.172&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;aug 4th,&lt;br /&gt;
-°46'35&amp;quot;&lt;br /&gt;
+updim 5th&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;7/5, 18/13&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;G#, Ab^&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tritonic"&gt;Tritonic&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;15&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;16&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;662.069&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;16/11, 22/15&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;v5&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;620.690, 744.828&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;down 5th&lt;br /&gt;
-°13'25&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;10/7, 13/9&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Av&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;16&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;17·&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;662.069, 794.483&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;703.448&lt;br /&gt;
-°38'14&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;16/11, 22/15&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;3/2&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;P5&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;5th&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;A&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;17·&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;18&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;703.448, 844.138&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;744.828&lt;br /&gt;
-°2'4&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;3/2&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;14/9, 20/13&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;^5, vm6&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;up 5th,&lt;br /&gt;
+downminor 6th&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;A^, Bbv&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;18&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;19&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;786.207&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;11/7&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;m6&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;744.828, 893.793&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;minor 6th&lt;br /&gt;
-°26'54&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;14/9, 20/13&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Bb&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;19&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;20&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;827.586&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;8/5, 13/8&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;^m6&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;786.207, 943.448&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;upminor 6th&lt;br /&gt;
-°51'43&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;11/7&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Bb^&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;20&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;21&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;827.586, 993.103&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;868.965&lt;br /&gt;
-°16'33*&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;8/5, 13/8&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;5/3, 18/11&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;vM6&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;downmajor 6th&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;Bv&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;21&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;22·&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;910.345&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;22/13&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;M6&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;868.9655/1, 1042.759&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;major 6th&lt;br /&gt;
-°41'23&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;5/3, 18/11&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;B&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;22·&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;23&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;951.724&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;7/4, 12/7, 26/15&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;^M6, vm7&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;910.345, 1092.414&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;upmajor 6th,&lt;br /&gt;
-°6'12&amp;quot;&lt;br /&gt;
+downminor 7th&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;22/13&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;B^, Cv&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;23&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;24&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;993.103&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;16/9&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;951.724, 1142.069&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;m7&lt;br /&gt;
-°31'2&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;7/4, 12/7, 26/15&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;minor 7th&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;C&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;24&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;25&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;1034.483&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;11/6, 20/11&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;993.103, 1191.724&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;^m7&lt;br /&gt;
-°55'52&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;16/9&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;upminor 7th&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;C^&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;25&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;26&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;1075.862&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;15/8, 28/15, 13/7, 24/13&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;vM7&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1034.483, 1241.379&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;downmajor 7th&lt;br /&gt;
-°20'41&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;11/6, 20/11&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;C#v&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;26&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;27&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;1117.241&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;40/21&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;M7&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1075.862, 1291.0345&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;major 7th&lt;br /&gt;
-°45'31&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;15/8, 28/15, 13/7, 24/13&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;C#&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;27&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;28&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;1158.621&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1117.241, 1340.690&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;48/25~64/33~55/28 ~160/81&lt;br /&gt;
-°10'21&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;40/21&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;^M7, v8&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;upmajor 7th,&lt;br /&gt;
+down 8ve&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;C#^, Dv&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;28&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;29&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;1200&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1158.621, 1390.345&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;2/1&lt;br /&gt;
-°35'10&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;48/25~64/33~55/28 ~160/81&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;P8&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;8ve&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;D&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 532: / Line 683: @@
 See also: &lt;a class="wiki_link" href="/29edo%20solfege"&gt;29edo solfege&lt;/a&gt;&lt;br /&gt;
-&lt;!-- ws:start:WikiTextLocalImageRule:751:&amp;lt;img src=&amp;quot;/file/view/29edothumb.png/277524658/29edothumb.png&amp;quot; alt=&amp;quot;this example in Sagittal notation shows 29-edo as a fifth-tone system.&amp;quot; title=&amp;quot;this example in Sagittal notation shows 29-edo as a fifth-tone system.&amp;quot; /&amp;gt; --&gt;&lt;table class="captionBox"&gt;&lt;tr&gt;&lt;td class="captionedImage"&gt;&lt;img src="/file/view/29edothumb.png/277524658/29edothumb.png" alt="29edothumb.png" title="29edothumb.png" /&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td class="imageCaption"&gt;this example in Sagittal notation shows 29-edo as a fifth-tone system.&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;&lt;!-- ws:end:WikiTextLocalImageRule:751 --&gt;&lt;br /&gt;
+&lt;br /&gt;
+Chords can be named using ups and downs as C upminor, D downmajor seven, etc. See &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation#Chord%20names%20in%20other%20EDOs"&gt;Ups and Downs Notation - Chord names in other EDOs&lt;/a&gt;.&lt;br /&gt;
+&lt;!-- ws:start:WikiTextLocalImageRule:943:&amp;lt;img src=&amp;quot;/file/view/29edothumb.png/277524658/29edothumb.png&amp;quot; alt=&amp;quot;this example in Sagittal notation shows 29-edo as a fifth-tone system.&amp;quot; title=&amp;quot;this example in Sagittal notation shows 29-edo as a fifth-tone system.&amp;quot; /&amp;gt; --&gt;&lt;table class="captionBox"&gt;&lt;tr&gt;&lt;td class="captionedImage"&gt;&lt;img src="/file/view/29edothumb.png/277524658/29edothumb.png" alt="29edothumb.png" title="29edothumb.png" /&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td class="imageCaption"&gt;this example in Sagittal notation shows 29-edo as a fifth-tone system.&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;&lt;!-- ws:end:WikiTextLocalImageRule:943 --&gt;&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Intervals and linear temperaments-Selected just intervals by error"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Selected just intervals by error&lt;/h2&gt;
@@ Line 693: / Line 846: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Commas&lt;/h1&gt;
-EDO tempers out the following commas. (Note: This assumes the val &amp;lt; &lt;a class="wiki_link" href="http://tel.wikispaces.com/29%2046%2067%2081%20100%20107"&gt;29 46 67 81 100 107&lt;/a&gt;/1 |, cent values rounded to 5 digits.)&lt;br /&gt;
+EDO tempers out the following commas. (Note: This assumes the val &amp;lt; 29 46 67 81 100 107 |, cent values rounded to 5 digits.)&lt;br /&gt;
@@ Line 982: / Line 1,135: @@
 &lt;ul&gt;&lt;li&gt;&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc8"&gt;&lt;a name="Music-Instruments--Guitar 29EDO from Peruvian - Charles Loli and Antonio Huamani"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;&lt;strong&gt;&lt;a class="wiki_link_ext" href="http://www.microtonalismo.com/proyecto-xvii" rel="nofollow"&gt;Guitar 29EDO from Peruvian - Charles Loli and Antonio Huamani&lt;/a&gt;&lt;/strong&gt;&lt;/h4&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextRemoteImageRule:752:&amp;lt;img src=&amp;quot;http://content.pimp-my-profile.com/i116/2/10/29/f_735065b21747.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 891px; width: 321px;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://content.pimp-my-profile.com/i116/2/10/29/f_735065b21747.jpg" alt="external image f_735065b21747.jpg" title="external image f_735065b21747.jpg" style="height: 891px; width: 321px;" /&gt;&lt;!-- ws:end:WikiTextRemoteImageRule:752 --&gt;&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
+&lt;!-- ws:start:WikiTextRemoteImageRule:944:&amp;lt;img src=&amp;quot;http://content.pimp-my-profile.com/i116/2/10/29/f_735065b21747.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 891px; width: 321px;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://content.pimp-my-profile.com/i116/2/10/29/f_735065b21747.jpg" alt="external image f_735065b21747.jpg" title="external image f_735065b21747.jpg" style="height: 891px; width: 321px;" /&gt;&lt;!-- ws:end:WikiTextRemoteImageRule:944 --&gt;&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
 &lt;a class="wiki_link_ext" href="http://www.microtonalismo.com/" rel="nofollow" target="_blank"&gt;Bass 29EDO&lt;/a&gt;&lt;br /&gt;
 &lt;ul&gt;&lt;li&gt;&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc9"&gt;&lt;a name="Music-Instruments--Bass 29EDO from Peruvian - Charles Loli and Antonio Huamani"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;&lt;strong&gt;&lt;a class="wiki_link_ext" href="http://www.microtonalismo.com/proyecto-xvii" rel="nofollow"&gt;Bass 29EDO from Peruvian - Charles Loli and Antonio Huamani&lt;/a&gt;&lt;/strong&gt;&lt;/h4&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextRemoteImageRule:753:&amp;lt;img src=&amp;quot;https://fbcdn-sphotos-c-a.akamaihd.net/hphotos-ak-prn1/r90/550502_538613626155939_2005925977_n.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 936px; width: 305px;&amp;quot; /&amp;gt; --&gt;&lt;img src="https://fbcdn-sphotos-c-a.akamaihd.net/hphotos-ak-prn1/r90/550502_538613626155939_2005925977_n.jpg" alt="external image 550502_538613626155939_2005925977_n.jpg" title="external image 550502_538613626155939_2005925977_n.jpg" style="height: 936px; width: 305px;" /&gt;&lt;!-- ws:end:WikiTextRemoteImageRule:753 --&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
+&lt;!-- ws:start:WikiTextRemoteImageRule:945:&amp;lt;img src=&amp;quot;https://fbcdn-sphotos-c-a.akamaihd.net/hphotos-ak-prn1/r90/550502_538613626155939_2005925977_n.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 936px; width: 305px;&amp;quot; /&amp;gt; --&gt;&lt;img src="https://fbcdn-sphotos-c-a.akamaihd.net/hphotos-ak-prn1/r90/550502_538613626155939_2005925977_n.jpg" alt="external image 550502_538613626155939_2005925977_n.jpg" title="external image 550502_538613626155939_2005925977_n.jpg" style="height: 936px; width: 305px;" /&gt;&lt;!-- ws:end:WikiTextRemoteImageRule:945 --&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>