25edo: 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:

: This revision was by author [[User:~~JosephRuhf~~|~~JosephRuhf~~]] and made on <tt>2016-12-~~05 14~~:56:01 UTC</tt>.

: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-12-25 18:52:38 UTC</tt>.

: The original revision id was <tt>~~601447782~~</tt>.

: The original revision id was <tt>602808482</tt>.

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

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=Intervals=

|| Degrees || Cents ~~value~~ ||= Approximate

||= Degrees ||= Cents ||= Approximate

Ratios* ||= Armodue

Notation ||

Notation ||||||= [[xenharmonic/Ups and Downs Notation|ups and downs notation]] ||

|| 0 || 0

||= 0 ||= 0 ||= 1/1 ||= 1 ||= P1 ||= perfect 1sn ||= D, Eb ||

0° ||= 1/1 ||= 1 ||

||= 1 ||= 48 ||= 33/32, 39/38, 34/33 ||= 1# ||= ^1, ^m2 ||= up 1sn, upminor 2nd ||= D^, Eb^ ||

|| 1 || 48~~, //57.6//~~

||= 2 ||= 96 ||= 17/16, 20/19, 18/17 ||= 2b ||= ^^m2 ||= double-upminor 2nd ||= Eb^^ ||

~~14°24'~~ ||= 33/32, 39/38, 34/33 ||= 1# ||

||= 3 ||= 144 ||= 12/11, 38/35 ||= 2 ||= vvM2 ||= double-downmajor 2nd ||= Evv ||

|| 2 || 96~~, //115.2//~~

||= 4 ||= 192 ||= 9/8, 10/9, 19/17 ||= 2# ||= vM2 ||= downmajor 2nd ||= Ev ||

~~28°48'~~ ||= 17/16, 20/19, 18/17 ||= 2b ||

||= 5· ||= 240 ||= 8/7 ||= 3b ||= M2, m3 ||= major 2nd, minor 3rd ||= E, F ||

|| 3 || 144~~, //172.8//~~

||= 6 ||= 288 ||= 19/16, 20/17 ||= 3 ||= ^m3 ||= upminor 3rd ||= F^ ||

~~43°12'~~ ||= 12/11, 38/35 ||= 2 ||

||= 7 ||= 336 ||= 39/32, 17/14, 40/33 ||= 3# ||= ^^m3 ||= double-upminor 3rd ||= F^^ ||

|| 4 || 192~~, //230.4//~~

||= 8· ||= 384 ||= 5/4 ||= 4b ||= vvM3 ||= double-downmajor 3rd ||= F#vv ||

~~57°36'~~ ||= 9/8, 10/9, 19/17 ||= 2# ||

||= 9 ||= 432 ||= 9/7, 32/25, 50/39 ||= 4 ||= vM3 ||= downmajor ||= F#v ||

|| 5· || 240~~, 288~~

||= 10 ||= 480 ||= 33/25, 25/19 ||= 4#/5b ||= M3, P4 ||= major 3rd, perfect 4th ||= F#, G ||

~~72°~~ ||= 8/7 ||= 3b ||

||= 11· ||= 528 ||= 31/21, 34/25 ||= 5 ||= ^4 ||= up 4th ||= G^ ||

|| 6 || 288~~, //345.6//~~

||= 12 ||= 576 ||= 7/5, 39/28 ||= 5# ||= ^^4,^^d5 ||= double-up 4th,

~~86°24'~~ ||= 19/16, 20/17 ||= 3 ||

double-up dim 5th ||= G^^, Ab^^ ||

|| 7 || 336~~, //403.2//~~

||= 13 ||= 624 ||= 10/7, 56/39 ||= 6b ||= vvA4,vv5 ||= double-down aug 4th,

~~100°48'~~ ||= 39/32, 17/14, 40/33 ||= 3# ||

double-down 5th ||= G#vv, Avv ||

|| 8· || 384~~, //460.8//~~

||= 14· ||= 672 ||= 42/31, 25/17 ||= 6 ||= v5 ||= down 5th ||= Av ||

~~115°12'~~ ||= 5/4 ||= 4b ||

||= 15 ||= 720 ||= 50/33, 38/25 ||= 6# ||= P5, m6 ||= perfect 5th, minor 6th ||= A, Bb ||

|| 9 || 432~~, //518.4//~~

||= 16 ||= 768 ||= 14/9, 25/16, 39/25 ||= 7b ||= ^m6 ||= upminor 6th ||= Bb^ ||

~~129°36'~~ ||= 9/7, 32/25, 50/39 ||= 4 ||

||= 17· ||= 816 ||= 8/5 ||= 7 ||= ^^m6 ||= double-upminor 6th ||= Bb^^ ||

|| 10 || 480~~, 576~~

||= 18 ||= 864 ||= 64/39, 28/17, 33/20 ||= 7# ||= vvM6 ||= double-downmajor 6th ||= Bvv ||

~~144°~~ ||= 33/25, 25/19 ||= 4#/5b ||

||= 19 ||= 912 ||= 32/19, 17/10 ||= 8b ||= vM6 ||= downmajor 6th ||= Bv ||

|| 11· || 528~~, //633.6//~~

||= 20· ||= 960 ||= 7/4 ||= 8 ||= M6, m7 ||= major 6th, minor 7th ||= B, C ||

~~158°24'~~ ||= 31/21, 34/25 ||= 5 ||

||= 21 ||= 1008 ||= 16/9, 9/5, 34/19 ||= 8# ||= ^m7 ||= upminor 7th ||= C^ ||

|| 12 || 576~~, //691.2//~~

||= 22 ||= 1056 ||= 11/6, 35/19 ||= 9b ||= ^^m7 ||= double-upminor 7th ||= C^^ ||

~~172°48'~~ ||= 7/5, 39/28 ||= 5# ||

||= 23 ||= 1104 ||= 32/17, 17/9, 19/10 ||= 9 ||= vvM7 ||= double-downmajor 7th ||= C#vv ||

|| 13 || 624~~, //748.8//~~

||= 24 ||= 1152 ||= 33/17, 64/33, 76/39 ||= 9#/1b ||= vM7 ||= downmajor 7th ||= C#v ||

~~187°12'~~ ||= 10/7, 56/39 ||= 6b ||

||= 25 ||= 1200 ||= 2/1 ||= 1 ||= P8 ||= perfect 8ve ||= C#, D ||

|| 14· || 672~~, //806.4//~~

~~201°36'~~ ||= 42/31, 25/17 ||= 6 ||

|| 15 || 720~~, 864~~

~~216°~~ ||= 50/33, 38/25 ||= 6# ||

|| 16 || 768~~, //921.6//~~

~~230°24'~~ ||= 14/9, 25/16, 39/25 ||= 7b ||

|| 17· || 816~~, //979.2//~~

~~244°48'~~ ||= 8/5 ||= 7 ||

|| 18 || 864~~, //1036.8//~~

~~259°12'~~ ||= 64/39, 28/17, 33/20 ||= 7# ||

|| 19 || 912~~, //1094.4//~~

~~273°36'~~ ||= 32/19, 17/10 ||= 8b ||

|| 20· || 960~~, 1152~~

~~288°~~ ||= 7/4 ||= 8 ||

|| 21 || 1008~~, //1209.6//~~

~~302°14'~~ ||= 16/9, 9/5, 34/19 ||= 8# ||

|| 22 || 1056~~, //1267.2//~~

~~316°48'~~ ||= 11/6, 35/19 ||= 9b ||

|| 23 || 1104~~, //1324.8//~~

~~331°12'~~ ||= 32/17, 17/9, 19/10 ||= 9 ||

|| 24 || 1152~~, //1382.4//~~

~~345°36'~~ ||= 33/17, 64/33, 76/39 ||= 9#/1b ||

|| 25 || 1200~~, 1440~~

~~360°~~ ||= 2/1 ||= 1 ||

*based on treating 25-EDO as a 2.9.5.7.33.39.17.19 subgroup; other approaches are possible.

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=Commas=

25 EDO tempers out the following commas. (Note: This assumes the val < 25 40 58 70 86 93/1 |.)

25 EDO tempers out the following commas. (Note: This assumes the val < 25 40 58 70 86 93 |.)

||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 ||

||= 256/243 ||< | 8 -5 > ||> 90.22 ||= Limma ||= Pythagorean Minor 2nd ||= ||

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<a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Fiale/flat%20fourth%20blues.mp3" rel="nofollow">Flat fourth blues</a> by Fabrizio Fulvio Fausto Fiale

<embed type="audio/midi" style="cursor:hand; cursor:pointer;" src="http://xenharmonic.wikispaces.com/file/view/25edochorale.mid" width="300" height="50" autoplay="false" target="myself" controller="true" loop="false" scale="aspect" bgcolor="#FFFFFF" pluginspage="http://www.apple.com/quicktime/download/"></embed> <div class="objectEmbed"><a href="/file/view/25edochorale.mid/314425794/25edochorale.mid" onclick="ws.common.trackFileLink('/file/view/25edochorale.mid/314425794/25edochorale.mid');"><img src="http://~~www~~.~~wikispaces~~.com/i/mime/32/empty.png" height="32" width="32" alt="25edochorale.mid" /></a><div><a href="/file/view/25edochorale.mid/314425794/25edochorale.mid" onclick="ws.common.trackFileLink('/file/view/25edochorale.mid/314425794/25edochorale.mid');" class="filename" title="25edochorale.mid">25edochorale.mid</a> <ul><li><a href="/file/detail/25edochorale.mid">Details</a></li><li><a href="/file/view/25edochorale.mid/314425794/25edochorale.mid">Download</a></li><li style="color: #666">4 KB</li></ul></div></div> Peter Kosmorsky (10/14/10, 2.5.7 subgroup, a friend responded &quot;The 25edo canon has a nice theme, but all the harmonizations from there are laughably dissonant. I showed them to my roomie and he found it disturbing, hahaha. He had an unintentional physical reaction to it with his mouth in which his muscles did a smirk sort of thing, without him even trying to, hahaha. So, my point; this I think this 25 edo idea was an example of where tonal thinking doesn't suit the sound of the scale.&quot;)

<embed type="audio/midi" style="cursor:hand; cursor:pointer;" src="http://xenharmonic.wikispaces.com/file/view/25edochorale.mid" width="300" height="50" autoplay="false" target="myself" controller="true" loop="false" scale="aspect" bgcolor="#FFFFFF" pluginspage="http://www.apple.com/quicktime/download/"></embed> <div class="objectEmbed"><a href="/file/view/25edochorale.mid/314425794/25edochorale.mid" onclick="ws.common.trackFileLink('/file/view/25edochorale.mid/314425794/25edochorale.mid');"><img src="http://c1.wikicdn.com/i/mime/32/empty.png" height="32" width="32" alt="25edochorale.mid" /></a><div><a href="/file/view/25edochorale.mid/314425794/25edochorale.mid" onclick="ws.common.trackFileLink('/file/view/25edochorale.mid/314425794/25edochorale.mid');" class="filename" title="25edochorale.mid">25edochorale.mid</a> <ul><li><a href="/file/detail/25edochorale.mid">Details</a></li><li><a href="/file/view/25edochorale.mid/314425794/25edochorale.mid">Download</a></li><li style="color: #666">4 KB</li></ul></div></div> Peter Kosmorsky (10/14/10, 2.5.7 subgroup, a friend responded &quot;The 25edo canon has a nice theme, but all the harmonizations from there are laughably dissonant. I showed them to my roomie and he found it disturbing, hahaha. He had an unintentional physical reaction to it with his mouth in which his muscles did a smirk sort of thing, without him even trying to, hahaha. So, my point; this I think this 25 edo idea was an example of where tonal thinking doesn't suit the sound of the scale.&quot;)

<embed type="audio/midi" style="cursor:hand; cursor:pointer;" src="http://xenharmonic.wikispaces.com/file/view/25+edo+prelude+largo.mid" width="300" height="50" autoplay="false" target="myself" controller="true" loop="false" scale="aspect" bgcolor="#FFFFFF" pluginspage="http://www.apple.com/quicktime/download/"></embed> <div class="objectEmbed"><a href="/file/view/25%20edo%20prelude%20largo.mid/314425914/25%20edo%20prelude%20largo.mid" onclick="ws.common.trackFileLink('/file/view/25%20edo%20prelude%20largo.mid/314425914/25%20edo%20prelude%20largo.mid');"><img src="http://~~www~~.~~wikispaces~~.com/i/mime/32/empty.png" height="32" width="32" alt="25 edo prelude largo.mid" /></a><div><a href="/file/view/25%20edo%20prelude%20largo.mid/314425914/25%20edo%20prelude%20largo.mid" onclick="ws.common.trackFileLink('/file/view/25%20edo%20prelude%20largo.mid/314425914/25%20edo%20prelude%20largo.mid');" class="filename" title="25 edo prelude largo.mid">25 edo prelude largo.mid</a> <ul><li><a href="/file/detail/25%20edo%20prelude%20largo.mid">Details</a></li><li><a href="/file/view/25%20edo%20prelude%20largo.mid/314425914/25%20edo%20prelude%20largo.mid">Download</a></li><li style="color: #666">6 KB</li></ul></div></div> Peter Kosmorsky (2011, Blackwood)

<embed type="audio/midi" style="cursor:hand; cursor:pointer;" src="http://xenharmonic.wikispaces.com/file/view/25+edo+prelude+largo.mid" width="300" height="50" autoplay="false" target="myself" controller="true" loop="false" scale="aspect" bgcolor="#FFFFFF" pluginspage="http://www.apple.com/quicktime/download/"></embed> <div class="objectEmbed"><a href="/file/view/25%20edo%20prelude%20largo.mid/314425914/25%20edo%20prelude%20largo.mid" onclick="ws.common.trackFileLink('/file/view/25%20edo%20prelude%20largo.mid/314425914/25%20edo%20prelude%20largo.mid');"><img src="http://c1.wikicdn.com/i/mime/32/empty.png" height="32" width="32" alt="25 edo prelude largo.mid" /></a><div><a href="/file/view/25%20edo%20prelude%20largo.mid/314425914/25%20edo%20prelude%20largo.mid" onclick="ws.common.trackFileLink('/file/view/25%20edo%20prelude%20largo.mid/314425914/25%20edo%20prelude%20largo.mid');" class="filename" title="25 edo prelude largo.mid">25 edo prelude largo.mid</a> <ul><li><a href="/file/detail/25%20edo%20prelude%20largo.mid">Details</a></li><li><a href="/file/view/25%20edo%20prelude%20largo.mid/314425914/25%20edo%20prelude%20largo.mid">Download</a></li><li style="color: #666">6 KB</li></ul></div></div> Peter Kosmorsky (2011, Blackwood)

<h1 id="toc2"><a name="Intervals"></a>Intervals</h1>

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<tr>

<td>Degrees

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

</td>

<td>Cents ~~value~~

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

</td>

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

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

Notation

</td>

<td colspan="3" style="text-align: center;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation">ups and downs notation</a>

</td>

</tr>

<tr>

<td>0

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

</td>

<td>0~~ ~~

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

0°

</td>

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

</td>

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

</td>

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

</td>

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

</td>

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

</td>

</tr>

<tr>

<td>1

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

</td>

<td>48~~, 57.6 ~~

<td style="text-align: center;">48

~~14°24'~~

</td>

<td style="text-align: center;">33/32, 39/38, 34/33

</td>

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

</td>

<td style="text-align: center;">^1, ^m2

</td>

<td style="text-align: center;">up 1sn, upminor 2nd

</td>

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

</td>

</tr>

<tr>

<td>2

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

</td>

<td>96~~, 115.2 ~~

<td style="text-align: center;">96

~~28°48'~~

</td>

<td style="text-align: center;">17/16, 20/19, 18/17

</td>

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

</td>

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

</td>

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

</td>

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

</td>

</tr>

<tr>

<td>3

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

</td>

<td>144~~, 172.8 ~~

<td style="text-align: center;">144

~~43°12'~~

</td>

<td style="text-align: center;">12/11, 38/35

</td>

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

</td>

<td style="text-align: center;">vvM2

</td>

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

</td>

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

</td>

</tr>

<tr>

<td>4

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

</td>

<td>192~~, 230.4 ~~

<td style="text-align: center;">192

~~57°36'~~

</td>

<td style="text-align: center;">9/8, 10/9, 19/17

</td>

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

</td>

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

</td>

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

</td>

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

</td>

</tr>

<tr>

<td>5·

<td style="text-align: center;">5·

</td>

<td>240~~, 288 ~~

<td style="text-align: center;">240

~~72°~~

</td>

<td style="text-align: center;">8/7

</td>

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

</td>

<td style="text-align: center;">M2, m3

</td>

<td style="text-align: center;">major 2nd, minor 3rd

</td>

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

</td>

</tr>

<tr>

<td>6

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

</td>

<td>288~~, 345.6 ~~

<td style="text-align: center;">288

~~86°24'~~

</td>

<td style="text-align: center;">19/16, 20/17

</td>

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

</td>

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

</td>

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

</td>

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

</td>

</tr>

<tr>

<td>7

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

</td>

<td>336~~, 403.2 ~~

<td style="text-align: center;">336

~~100°48'~~

</td>

<td style="text-align: center;">39/32, 17/14, 40/33

</td>

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

</td>

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

</td>

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

</td>

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

</td>

</tr>

<tr>

<td>8·

<td style="text-align: center;">8·

</td>

<td>384~~, 460.8 ~~

<td style="text-align: center;">384

~~115°12'~~

</td>

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

</td>

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

</td>

<td style="text-align: center;">vvM3

</td>

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

</td>

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

</td>

</tr>

<tr>

<td>9

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

</td>

<td>432~~, 518.4 ~~

<td style="text-align: center;">432

~~129°36'~~

</td>

<td style="text-align: center;">9/7, 32/25, 50/39

</td>

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

</td>

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

</td>

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

</td>

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

</td>

</tr>

<tr>

<td>10

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

</td>

<td>480~~, 576 ~~

<td style="text-align: center;">480

~~144°~~

</td>

<td style="text-align: center;">33/25, 25/19

</td>

<td style="text-align: center;">4#/5b

</td>

<td style="text-align: center;">M3, P4

</td>

<td style="text-align: center;">major 3rd, perfect 4th

</td>

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

</td>

</tr>

<tr>

<td>11·

<td style="text-align: center;">11·

</td>

<td>528~~, 633.6 ~~

<td style="text-align: center;">528

~~158°24'~~

</td>

<td style="text-align: center;">31/21, 34/25

</td>

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

</td>

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

</td>

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

</td>

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

</td>

</tr>

<tr>

<td>12

<td style="text-align: center;">12

</td>

<td>576~~, 691.2 ~~

<td style="text-align: center;">576

~~172°48'~~

</td>

<td style="text-align: center;">7/5, 39/28

</td>

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

</td>

<td style="text-align: center;">^^4,^^d5

</td>

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

double-up dim 5th

</td>

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

</td>

</tr>

<tr>

<td>13

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

</td>

<td>624~~, 748.8 ~~

<td style="text-align: center;">624

~~187°12'~~

</td>

<td style="text-align: center;">10/7, 56/39

</td>

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

</td>

<td style="text-align: center;">vvA4,vv5

</td>

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

double-down 5th

</td>

<td style="text-align: center;">G#vv, Avv

</td>

</tr>

<tr>

<td>14·

<td style="text-align: center;">14·

</td>

<td>672~~, 806.4 ~~

<td style="text-align: center;">672

~~201°36'~~

</td>

<td style="text-align: center;">42/31, 25/17

</td>

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

</td>

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

</td>

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

</td>

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

</td>

</tr>

<tr>

<td>15

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

</td>

<td>720~~, 864 ~~

<td style="text-align: center;">720

~~216°~~

</td>

<td style="text-align: center;">50/33, 38/25

</td>

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

</td>

<td style="text-align: center;">P5, m6

</td>

<td style="text-align: center;">perfect 5th, minor 6th

</td>

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

</td>

</tr>

<tr>

<td>16

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

</td>

<td>768~~, 921.6 ~~

<td style="text-align: center;">768

~~230°24'~~

</td>

<td style="text-align: center;">14/9, 25/16, 39/25

</td>

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

</td>

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

</td>

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

</td>

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

</td>

</tr>

<tr>

<td>17·

<td style="text-align: center;">17·

</td>

<td>816~~, 979.2 ~~

<td style="text-align: center;">816

~~244°48'~~

</td>

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

</td>

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

</td>

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

</td>

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

</td>

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

</td>

</tr>

<tr>

<td>18

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

</td>

<td>864~~, 1036.8 ~~

<td style="text-align: center;">864

~~259°12'~~

</td>

<td style="text-align: center;">64/39, 28/17, 33/20

</td>

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

</td>

<td style="text-align: center;">vvM6

</td>

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

</td>

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

</td>

</tr>

<tr>

<td>19

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

</td>

<td>912~~, 1094.4 ~~

<td style="text-align: center;">912

~~273°36'~~

</td>

<td style="text-align: center;">32/19, 17/10

</td>

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

</td>

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

</td>

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

</td>

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

</td>

</tr>

<tr>

<td>20·

<td style="text-align: center;">20·

</td>

<td>960~~, 1152 ~~

<td style="text-align: center;">960

~~288°~~

</td>

<td style="text-align: center;">7/4

</td>

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

</td>

<td style="text-align: center;">M6, m7

</td>

<td style="text-align: center;">major 6th, minor 7th

</td>

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

</td>

</tr>

<tr>

<td>21

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

</td>

<td>1008~~, 1209.6 ~~

<td style="text-align: center;">1008

~~302°14'~~

</td>

<td style="text-align: center;">16/9, 9/5, 34/19

</td>

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

</td>

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

</td>

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

</td>

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

</td>

</tr>

<tr>

<td>22

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

</td>

<td>1056~~, 1267.2 ~~

<td style="text-align: center;">1056

~~316°48'~~

</td>

<td style="text-align: center;">11/6, 35/19

</td>

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

</td>

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

</td>

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

</td>

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

</td>

</tr>

<tr>

<td>23

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

</td>

<td>1104~~, 1324.8 ~~

<td style="text-align: center;">1104

~~331°12'~~

</td>

<td style="text-align: center;">32/17, 17/9, 19/10

</td>

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

</td>

<td style="text-align: center;">vvM7

</td>

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

</td>

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

</td>

</tr>

<tr>

<td>24

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

</td>

<td>1152~~, 1382.4 ~~

<td style="text-align: center;">1152

~~345°36'~~

</td>

<td style="text-align: center;">33/17, 64/33, 76/39

</td>

<td style="text-align: center;">9#/1b

</td>

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

</td>

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

</td>

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

</td>

</tr>

<tr>

<td>25

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

</td>

<td>1200~~, 1440 ~~

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

~~360°~~

</td>

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

</td>

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

</td>

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

</td>

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

</td>

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

</td>

</tr>

Line 440:

Line 550:

<object id="example" type="image/svg+xml" data="http://xenharmonic.wikispaces.com/file/view/25ed2-001.svg">alt : Your browser has no SVG support.</object>

<div class="objectEmbed"><a href="/file/view/25ed2-001.svg/489051424/25ed2-001.svg" onclick="ws.common.trackFileLink('/file/view/25ed2-001.svg/489051424/25ed2-001.svg');"><img src="http://~~www~~.~~wikispaces~~.com/i/mime/32/empty.png" height="32" width="32" alt="25ed2-001.svg" /></a><div><a href="/file/view/25ed2-001.svg/489051424/25ed2-001.svg" onclick="ws.common.trackFileLink('/file/view/25ed2-001.svg/489051424/25ed2-001.svg');" class="filename" title="25ed2-001.svg">25ed2-001.svg</a> <ul><li><a href="/file/detail/25ed2-001.svg">Details</a></li><li><a href="/file/view/25ed2-001.svg/489051424/25ed2-001.svg">Download</a></li><li style="color: #666">23 KB</li></ul></div></div>

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Line 448:

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<h1 id="toc4"><a name="Commas"></a>Commas</h1>

25 EDO tempers out the following commas. (Note: This assumes the val &lt; 25 40 58 70 86 93/1 |.)

25 EDO tempers out the following commas. (Note: This assumes the val &lt; 25 40 58 70 86 93 |.)

Line 681:

Line 791:

<h1 id="toc5"><a name="A 25edo keyboard"></a>A 25edo keyboard</h1>

<img src="/file/view/mm25.PNG/179204243/mm25.PNG" alt="mm25.PNG" title="mm25.PNG" /></body></html></pre></div>

<img src="/file/view/mm25.PNG/179204243/mm25.PNG" alt="mm25.PNG" title="mm25.PNG" /></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 14:56:01 UTC</tt>.<br>
+: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-12-25 18:52:38 UTC</tt>.<br>
-: The original revision id was <tt>601447782</tt>.<br>
+: The original revision id was <tt>602808482</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 25: / Line 25: @@
 =Intervals=
-|| Degrees || Cents value ||= Approximate
+||= Degrees ||= Cents ||= Approximate
 Ratios* ||= Armodue
-Notation ||
+Notation ||||||= [[xenharmonic/Ups and Downs Notation|ups and downs notation]] ||
-|| 0 || 0
+||= 0 ||= 0 ||= 1/1 ||= 1 ||= P1 ||= perfect 1sn ||= D, Eb ||
-° ||= 1/1 ||= 1 ||
+||= 1 ||= 48 ||= 33/32, 39/38, 34/33 ||= 1# ||= ^1, ^m2 ||= up 1sn, upminor 2nd ||= D^, Eb^ ||
-|| 1 || 48, //57.6//
+||= 2 ||= 96 ||= 17/16, 20/19, 18/17 ||= 2b ||= ^^m2 ||= double-upminor 2nd ||= Eb^^ ||
-°24' ||= 33/32, 39/38, 34/33 ||= 1# ||
+||= 3 ||= 144 ||= 12/11, 38/35 ||= 2 ||= vvM2 ||= double-downmajor 2nd ||= Evv ||
-|| 2 || 96, //115.2//
+||= 4 ||= 192 ||= 9/8, 10/9, 19/17 ||= 2# ||= vM2 ||= downmajor 2nd ||= Ev ||
-°48' ||= 17/16, 20/19, 18/17 ||= 2b ||
+||= 5· ||= 240 ||= 8/7 ||= 3b ||= M2, m3 ||= major 2nd, minor 3rd ||= E, F ||
-|| 3 || 144, //172.8//
+||= 6 ||= 288 ||= 19/16, 20/17 ||= 3 ||= ^m3 ||= upminor 3rd ||= F^ ||
-°12' ||= 12/11, 38/35 ||= 2 ||
+||= 7 ||= 336 ||= 39/32, 17/14, 40/33 ||= 3# ||= ^^m3 ||= double-upminor 3rd ||= F^^ ||
-|| 4 || 192, //230.4//
+||= 8· ||= 384 ||= 5/4 ||= 4b ||= vvM3 ||= double-downmajor 3rd ||= F#vv ||
-°36' ||= 9/8, 10/9, 19/17 ||= 2# ||
+||= 9 ||= 432 ||= 9/7, 32/25, 50/39 ||= 4 ||= vM3 ||= downmajor ||= F#v ||
-|| 5· || 240, 288
+||= 10 ||= 480 ||= 33/25, 25/19 ||= 4#/5b ||= M3, P4 ||= major 3rd, perfect 4th ||= F#, G ||
-° ||= 8/7 ||= 3b ||
+||= 11· ||= 528 ||= 31/21, 34/25 ||= 5 ||= ^4 ||= up 4th ||= G^ ||
-|| 6 || 288, //345.6//
+||= 12 ||= 576 ||= 7/5, 39/28 ||= 5# ||= ^^4,^^d5 ||= double-up 4th,
-°24' ||= 19/16, 20/17 ||= 3 ||
+double-up dim 5th ||= G^^, Ab^^ ||
-|| 7 || 336, //403.2//
+||= 13 ||= 624 ||= 10/7, 56/39 ||= 6b ||= vvA4,vv5 ||= double-down aug 4th,
-°48' ||= 39/32, 17/14, 40/33 ||= 3# ||
+double-down 5th ||= G#vv, Avv ||
-|| 8· || 384, //460.8//
+||= 14· ||= 672 ||= 42/31, 25/17 ||= 6 ||= v5 ||= down 5th ||= Av ||
-°12' ||= 5/4 ||= 4b ||
+||= 15 ||= 720 ||= 50/33, 38/25 ||= 6# ||= P5, m6 ||= perfect 5th, minor 6th ||= A, Bb ||
-|| 9 || 432, //518.4//
+||= 16 ||= 768 ||= 14/9, 25/16, 39/25 ||= 7b ||= ^m6 ||= upminor 6th ||= Bb^ ||
-°36' ||= 9/7, 32/25, 50/39 ||= 4 ||
+||= 17· ||= 816 ||= 8/5 ||= 7 ||= ^^m6 ||= double-upminor 6th ||= Bb^^ ||
-|| 10 || 480, 576
+||= 18 ||= 864 ||= 64/39, 28/17, 33/20 ||= 7# ||= vvM6 ||= double-downmajor 6th ||= Bvv ||
-° ||= 33/25, 25/19 ||= 4#/5b ||
+||= 19 ||= 912 ||= 32/19, 17/10 ||= 8b ||= vM6 ||= downmajor 6th ||= Bv ||
-|| 11· || 528, //633.6//
+||= 20· ||= 960 ||= 7/4 ||= 8 ||= M6, m7 ||= major 6th, minor 7th ||= B, C ||
-°24' ||= 31/21, 34/25 ||= 5 ||
+||= 21 ||= 1008 ||= 16/9, 9/5, 34/19 ||= 8# ||= ^m7 ||= upminor 7th ||= C^ ||
-|| 12 || 576, //691.2//
+||= 22 ||= 1056 ||= 11/6, 35/19 ||= 9b ||= ^^m7 ||= double-upminor 7th ||= C^^ ||
-°48' ||= 7/5, 39/28 ||= 5# ||
+||= 23 ||= 1104 ||= 32/17, 17/9, 19/10 ||= 9 ||= vvM7 ||= double-downmajor 7th ||= C#vv ||
-|| 13 || 624, //748.8//
+||= 24 ||= 1152 ||= 33/17, 64/33, 76/39 ||= 9#/1b ||= vM7 ||= downmajor 7th ||= C#v ||
-°12' ||= 10/7, 56/39 ||= 6b ||
+||= 25 ||= 1200 ||= 2/1 ||= 1 ||= P8 ||= perfect 8ve ||= C#, D ||
-|| 14· || 672, //806.4//
-°36' ||= 42/31, 25/17 ||= 6 ||
-|| 15 || 720, 864
-° ||= 50/33, 38/25 ||= 6# ||
-|| 16 || 768, //921.6//
-°24' ||= 14/9, 25/16, 39/25 ||= 7b ||
-|| 17· || 816, //979.2//
-°48' ||= 8/5 ||= 7 ||
-|| 18 || 864, //1036.8//
-°12' ||= 64/39, 28/17, 33/20 ||= 7# ||
-|| 19 || 912, //1094.4//
-°36' ||= 32/19, 17/10 ||= 8b ||
-|| 20· || 960, 1152
-° ||= 7/4 ||= 8 ||
-|| 21 || 1008, //1209.6//
-°14' ||= 16/9, 9/5, 34/19 ||= 8# ||
-|| 22 || 1056, //1267.2//
-°48' ||= 11/6, 35/19 ||= 9b ||
-|| 23 || 1104, //1324.8//
-°12' ||= 32/17, 17/9, 19/10 ||= 9 ||
-|| 24 || 1152, //1382.4//
-°36' ||= 33/17, 64/33, 76/39 ||= 9#/1b ||
-|| 25 || 1200, 1440
-° ||= 2/1 ||= 1 ||
 *based on treating 25-EDO as a 2.9.5.7.33.39.17.19 subgroup; other approaches are possible.
@@ Line 92: / Line 68: @@
 =Commas=
-EDO tempers out the following commas. (Note: This assumes the val &lt; 25 40 58 70 86 93/1 |.)
+EDO tempers out the following commas. (Note: This assumes the val &lt; 25 40 58 70 86 93 |.)
 ||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 ||
 ||= 256/243 ||&lt; | 8 -5 &gt; ||&gt; 90.22 ||= Limma ||= Pythagorean Minor 2nd ||=   ||
@@ Line 128: / Line 104: @@
 &lt;em&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Fiale/flat%20fourth%20blues.mp3" rel="nofollow"&gt;Flat fourth blues&lt;/a&gt;&lt;/em&gt; by Fabrizio Fulvio Fausto Fiale&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/25edochorale.mid?h=50&amp;amp;w=300&amp;quot; class=&amp;quot;WikiMedia WikiMediaFile&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;file&amp;amp;quot; key=&amp;amp;quot;25edochorale.mid&amp;amp;quot; width=&amp;amp;quot;300&amp;amp;quot; height=&amp;amp;quot;50&amp;amp;quot;&amp;quot; title=&amp;quot;Local Media File&amp;quot;height=&amp;quot;50&amp;quot; width=&amp;quot;300&amp;quot;/&amp;gt; --&gt;&lt;embed type="audio/midi" style="cursor:hand; cursor:pointer;" src="http://xenharmonic.wikispaces.com/file/view/25edochorale.mid" width="300" height="50" autoplay="false" target="myself" controller="true" loop="false" scale="aspect" bgcolor="#FFFFFF" pluginspage="http://www.apple.com/quicktime/download/"&gt;&lt;/embed&gt;&lt;!-- ws:end:WikiTextMediaRule:0 --&gt; &lt;!-- ws:start:WikiTextFileRule:522:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file/25edochorale.mid?h=52&amp;amp;w=320&amp;quot; class=&amp;quot;WikiFile&amp;quot; id=&amp;quot;wikitext@@file@@25edochorale.mid&amp;quot; title=&amp;quot;File: 25edochorale.mid&amp;quot; width=&amp;quot;320&amp;quot; height=&amp;quot;52&amp;quot; /&amp;gt; --&gt;&lt;div class="objectEmbed"&gt;&lt;a href="/file/view/25edochorale.mid/314425794/25edochorale.mid" onclick="ws.common.trackFileLink('/file/view/25edochorale.mid/314425794/25edochorale.mid');"&gt;&lt;img src="http://www.wikispaces.com/i/mime/32/empty.png" height="32" width="32" alt="25edochorale.mid" /&gt;&lt;/a&gt;&lt;div&gt;&lt;a href="/file/view/25edochorale.mid/314425794/25edochorale.mid" onclick="ws.common.trackFileLink('/file/view/25edochorale.mid/314425794/25edochorale.mid');" class="filename" title="25edochorale.mid"&gt;25edochorale.mid&lt;/a&gt;&lt;br /&gt;&lt;ul&gt;&lt;li&gt;&lt;a href="/file/detail/25edochorale.mid"&gt;Details&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="/file/view/25edochorale.mid/314425794/25edochorale.mid"&gt;Download&lt;/a&gt;&lt;/li&gt;&lt;li style="color: #666"&gt;4 KB&lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;/div&gt;&lt;!-- ws:end:WikiTextFileRule:522 --&gt; Peter Kosmorsky (10/14/10, 2.5.7 subgroup, a friend responded &amp;quot;The &lt;span class="il"&gt;25edo&lt;/span&gt; canon has a nice theme, but all the harmonizations from there are laughably dissonant. I showed them to my roomie and he found it disturbing, hahaha. He had an unintentional physical reaction to it with his mouth in which his muscles did a smirk sort of thing, without him even trying to, hahaha. So, my point; this I think this 25 edo idea was an example of where tonal thinking doesn't suit the sound of the scale.&amp;quot;)&lt;br /&gt;
+&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/25edochorale.mid?h=50&amp;amp;w=300&amp;quot; class=&amp;quot;WikiMedia WikiMediaFile&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;file&amp;amp;quot; key=&amp;amp;quot;25edochorale.mid&amp;amp;quot; width=&amp;amp;quot;300&amp;amp;quot; height=&amp;amp;quot;50&amp;amp;quot;&amp;quot; title=&amp;quot;Local Media File&amp;quot;height=&amp;quot;50&amp;quot; width=&amp;quot;300&amp;quot;/&amp;gt; --&gt;&lt;embed type="audio/midi" style="cursor:hand; cursor:pointer;" src="http://xenharmonic.wikispaces.com/file/view/25edochorale.mid" width="300" height="50" autoplay="false" target="myself" controller="true" loop="false" scale="aspect" bgcolor="#FFFFFF" pluginspage="http://www.apple.com/quicktime/download/"&gt;&lt;/embed&gt;&lt;!-- ws:end:WikiTextMediaRule:0 --&gt; &lt;!-- ws:start:WikiTextFileRule:680:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file/25edochorale.mid?h=52&amp;amp;w=320&amp;quot; class=&amp;quot;WikiFile&amp;quot; id=&amp;quot;wikitext@@file@@25edochorale.mid&amp;quot; title=&amp;quot;File: 25edochorale.mid&amp;quot; width=&amp;quot;320&amp;quot; height=&amp;quot;52&amp;quot; /&amp;gt; --&gt;&lt;div class="objectEmbed"&gt;&lt;a href="/file/view/25edochorale.mid/314425794/25edochorale.mid" onclick="ws.common.trackFileLink('/file/view/25edochorale.mid/314425794/25edochorale.mid');"&gt;&lt;img src="http://c1.wikicdn.com/i/mime/32/empty.png" height="32" width="32" alt="25edochorale.mid" /&gt;&lt;/a&gt;&lt;div&gt;&lt;a href="/file/view/25edochorale.mid/314425794/25edochorale.mid" onclick="ws.common.trackFileLink('/file/view/25edochorale.mid/314425794/25edochorale.mid');" class="filename" title="25edochorale.mid"&gt;25edochorale.mid&lt;/a&gt;&lt;br /&gt;&lt;ul&gt;&lt;li&gt;&lt;a href="/file/detail/25edochorale.mid"&gt;Details&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="/file/view/25edochorale.mid/314425794/25edochorale.mid"&gt;Download&lt;/a&gt;&lt;/li&gt;&lt;li style="color: #666"&gt;4 KB&lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;/div&gt;&lt;!-- ws:end:WikiTextFileRule:680 --&gt; Peter Kosmorsky (10/14/10, 2.5.7 subgroup, a friend responded &amp;quot;The &lt;span class="il"&gt;25edo&lt;/span&gt; canon has a nice theme, but all the harmonizations from there are laughably dissonant. I showed them to my roomie and he found it disturbing, hahaha. He had an unintentional physical reaction to it with his mouth in which his muscles did a smirk sort of thing, without him even trying to, hahaha. So, my point; this I think this 25 edo idea was an example of where tonal thinking doesn't suit the sound of the scale.&amp;quot;)&lt;br /&gt;
-&lt;!-- ws:start:WikiTextMediaRule:1:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/25%20edo%20prelude%20largo.mid?h=50&amp;amp;w=300&amp;quot; class=&amp;quot;WikiMedia WikiMediaFile&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;file&amp;amp;quot; key=&amp;amp;quot;25 edo prelude largo.mid&amp;amp;quot; width=&amp;amp;quot;300&amp;amp;quot; height=&amp;amp;quot;50&amp;amp;quot;&amp;quot; title=&amp;quot;Local Media File&amp;quot;height=&amp;quot;50&amp;quot; width=&amp;quot;300&amp;quot;/&amp;gt; --&gt;&lt;embed type="audio/midi" style="cursor:hand; cursor:pointer;" src="http://xenharmonic.wikispaces.com/file/view/25+edo+prelude+largo.mid" width="300" height="50" autoplay="false" target="myself" controller="true" loop="false" scale="aspect" bgcolor="#FFFFFF" pluginspage="http://www.apple.com/quicktime/download/"&gt;&lt;/embed&gt;&lt;!-- ws:end:WikiTextMediaRule:1 --&gt; &lt;!-- ws:start:WikiTextFileRule:523:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file/25%20edo%20prelude%20largo.mid?h=52&amp;amp;w=320&amp;quot; class=&amp;quot;WikiFile&amp;quot; id=&amp;quot;wikitext@@file@@25 edo prelude largo.mid&amp;quot; title=&amp;quot;File: 25 edo prelude largo.mid&amp;quot; width=&amp;quot;320&amp;quot; height=&amp;quot;52&amp;quot; /&amp;gt; --&gt;&lt;div class="objectEmbed"&gt;&lt;a href="/file/view/25%20edo%20prelude%20largo.mid/314425914/25%20edo%20prelude%20largo.mid" onclick="ws.common.trackFileLink('/file/view/25%20edo%20prelude%20largo.mid/314425914/25%20edo%20prelude%20largo.mid');"&gt;&lt;img src="http://www.wikispaces.com/i/mime/32/empty.png" height="32" width="32" alt="25 edo prelude largo.mid" /&gt;&lt;/a&gt;&lt;div&gt;&lt;a href="/file/view/25%20edo%20prelude%20largo.mid/314425914/25%20edo%20prelude%20largo.mid" onclick="ws.common.trackFileLink('/file/view/25%20edo%20prelude%20largo.mid/314425914/25%20edo%20prelude%20largo.mid');" class="filename" title="25 edo prelude largo.mid"&gt;25 edo prelude largo.mid&lt;/a&gt;&lt;br /&gt;&lt;ul&gt;&lt;li&gt;&lt;a href="/file/detail/25%20edo%20prelude%20largo.mid"&gt;Details&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="/file/view/25%20edo%20prelude%20largo.mid/314425914/25%20edo%20prelude%20largo.mid"&gt;Download&lt;/a&gt;&lt;/li&gt;&lt;li style="color: #666"&gt;6 KB&lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;/div&gt;&lt;!-- ws:end:WikiTextFileRule:523 --&gt; Peter Kosmorsky (2011, Blackwood)&lt;br /&gt;
+&lt;!-- ws:start:WikiTextMediaRule:1:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/25%20edo%20prelude%20largo.mid?h=50&amp;amp;w=300&amp;quot; class=&amp;quot;WikiMedia WikiMediaFile&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;file&amp;amp;quot; key=&amp;amp;quot;25 edo prelude largo.mid&amp;amp;quot; width=&amp;amp;quot;300&amp;amp;quot; height=&amp;amp;quot;50&amp;amp;quot;&amp;quot; title=&amp;quot;Local Media File&amp;quot;height=&amp;quot;50&amp;quot; width=&amp;quot;300&amp;quot;/&amp;gt; --&gt;&lt;embed type="audio/midi" style="cursor:hand; cursor:pointer;" src="http://xenharmonic.wikispaces.com/file/view/25+edo+prelude+largo.mid" width="300" height="50" autoplay="false" target="myself" controller="true" loop="false" scale="aspect" bgcolor="#FFFFFF" pluginspage="http://www.apple.com/quicktime/download/"&gt;&lt;/embed&gt;&lt;!-- ws:end:WikiTextMediaRule:1 --&gt; &lt;!-- ws:start:WikiTextFileRule:681:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file/25%20edo%20prelude%20largo.mid?h=52&amp;amp;w=320&amp;quot; class=&amp;quot;WikiFile&amp;quot; id=&amp;quot;wikitext@@file@@25 edo prelude largo.mid&amp;quot; title=&amp;quot;File: 25 edo prelude largo.mid&amp;quot; width=&amp;quot;320&amp;quot; height=&amp;quot;52&amp;quot; /&amp;gt; --&gt;&lt;div class="objectEmbed"&gt;&lt;a href="/file/view/25%20edo%20prelude%20largo.mid/314425914/25%20edo%20prelude%20largo.mid" onclick="ws.common.trackFileLink('/file/view/25%20edo%20prelude%20largo.mid/314425914/25%20edo%20prelude%20largo.mid');"&gt;&lt;img src="http://c1.wikicdn.com/i/mime/32/empty.png" height="32" width="32" alt="25 edo prelude largo.mid" /&gt;&lt;/a&gt;&lt;div&gt;&lt;a href="/file/view/25%20edo%20prelude%20largo.mid/314425914/25%20edo%20prelude%20largo.mid" onclick="ws.common.trackFileLink('/file/view/25%20edo%20prelude%20largo.mid/314425914/25%20edo%20prelude%20largo.mid');" class="filename" title="25 edo prelude largo.mid"&gt;25 edo prelude largo.mid&lt;/a&gt;&lt;br /&gt;&lt;ul&gt;&lt;li&gt;&lt;a href="/file/detail/25%20edo%20prelude%20largo.mid"&gt;Details&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="/file/view/25%20edo%20prelude%20largo.mid/314425914/25%20edo%20prelude%20largo.mid"&gt;Download&lt;/a&gt;&lt;/li&gt;&lt;li style="color: #666"&gt;6 KB&lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;/div&gt;&lt;!-- ws:end:WikiTextFileRule:681 --&gt; Peter Kosmorsky (2011, Blackwood)&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:7:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:7 --&gt;Intervals&lt;/h1&gt;
@@ Line 137: / Line 113: @@
 &lt;table class="wiki_table"&gt;
      &lt;tr&gt;
-         &lt;td&gt;Degrees&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Degrees&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Cents value&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Cents&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;Approximate&lt;br /&gt;
@@ Line 146: / Line 122: @@
          &lt;td style="text-align: center;"&gt;Armodue&lt;br /&gt;
 Notation&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td colspan="3" style="text-align: center;"&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation"&gt;ups and downs notation&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
      &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&gt;0&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;0&lt;br /&gt;
-°&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;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;perfect 1sn&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;D, Eb&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;1&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;48, &lt;em&gt;57.6&lt;/em&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;48&lt;br /&gt;
-°24'&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;33/32, 39/38, 34/33&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;1#&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;^1, ^m2&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;up 1sn, upminor 2nd&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;D^, Eb^&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;2&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;96, &lt;em&gt;115.2&lt;/em&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;96&lt;br /&gt;
-°48'&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;17/16, 20/19, 18/17&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;2b&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;^^m2&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;double-upminor 2nd&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;Eb^^&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;3&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;144, &lt;em&gt;172.8&lt;/em&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;144&lt;br /&gt;
-°12'&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;12/11, 38/35&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;2&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;vvM2&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;double-downmajor 2nd&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;Evv&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;4&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;192, &lt;em&gt;230.4&lt;/em&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;192&lt;br /&gt;
-°36'&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;9/8, 10/9, 19/17&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;2#&lt;br /&gt;
+&lt;/td&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;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;5·&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;5·&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;240, 288&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;240&lt;br /&gt;
-°&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;8/7&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;3b&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;M2, m3&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;major 2nd, minor 3rd&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;E, F&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;6&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;288, &lt;em&gt;345.6&lt;/em&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;288&lt;br /&gt;
-°24'&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;19/16, 20/17&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;3&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;^m3&lt;br /&gt;
+&lt;/td&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;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;7&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;7&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;336, &lt;em&gt;403.2&lt;/em&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;336&lt;br /&gt;
-°48'&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;39/32, 17/14, 40/33&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;3#&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;^^m3&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;double-upminor 3rd&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;F^^&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;8·&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;384, &lt;em&gt;460.8&lt;/em&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;384&lt;br /&gt;
-°12'&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;5/4&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;4b&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;vvM3&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;double-downmajor 3rd&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;F#vv&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;9&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;432, &lt;em&gt;518.4&lt;/em&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;432&lt;br /&gt;
-°36'&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;9/7, 32/25, 50/39&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;4&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;vM3&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;downmajor&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;F#v&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;10&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;480, 576&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;480&lt;br /&gt;
-°&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;33/25, 25/19&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;4#/5b&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;M3, P4&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;major 3rd, perfect 4th&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;F#, G&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;11·&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;528, &lt;em&gt;633.6&lt;/em&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;528&lt;br /&gt;
-°24'&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;31/21, 34/25&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;5&lt;br /&gt;
+&lt;/td&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;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;12&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;12&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;576, &lt;em&gt;691.2&lt;/em&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;576&lt;br /&gt;
-°48'&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;7/5, 39/28&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;5#&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;^^4,^^d5&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;double-up 4th,&lt;br /&gt;
+double-up dim 5th&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;G^^, Ab^^&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;13&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;624, &lt;em&gt;748.8&lt;/em&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;624&lt;br /&gt;
-°12'&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;10/7, 56/39&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;6b&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;vvA4,vv5&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;double-down aug 4th,&lt;br /&gt;
+double-down 5th&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;G#vv, Avv&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;14·&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;672, &lt;em&gt;806.4&lt;/em&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;672&lt;br /&gt;
-°36'&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;42/31, 25/17&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;6&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;v5&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;down 5th&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;Av&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;15&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;720, 864&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;720&lt;br /&gt;
-°&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;50/33, 38/25&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;6#&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;P5, m6&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;perfect 5th, minor 6th&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;A, Bb&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;16&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;768, &lt;em&gt;921.6&lt;/em&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;768&lt;br /&gt;
-°24'&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;14/9, 25/16, 39/25&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;7b&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;^m6&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;upminor 6th&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;Bb^&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;17·&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;816, &lt;em&gt;979.2&lt;/em&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;816&lt;br /&gt;
-°48'&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;8/5&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;7&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;^^m6&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;double-upminor 6th&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;Bb^^&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;18&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;864, &lt;em&gt;1036.8&lt;/em&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;864&lt;br /&gt;
-°12'&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;64/39, 28/17, 33/20&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;7#&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;vvM6&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;double-downmajor 6th&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;Bvv&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;19&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;912, &lt;em&gt;1094.4&lt;/em&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;912&lt;br /&gt;
-°36'&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;32/19, 17/10&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;8b&lt;br /&gt;
+&lt;/td&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;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;20·&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;20·&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;960, 1152&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;960&lt;br /&gt;
-°&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;7/4&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;8&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;M6, m7&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;major 6th, minor 7th&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;B, C&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;21&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1008, &lt;em&gt;1209.6&lt;/em&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;1008&lt;br /&gt;
-°14'&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;16/9, 9/5, 34/19&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;8#&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;^m7&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;upminor 7th&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;C^&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;22&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1056, &lt;em&gt;1267.2&lt;/em&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;1056&lt;br /&gt;
-°48'&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;11/6, 35/19&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;9b&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;^^m7&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;double-upminor 7th&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;C^^&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;23&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1104, &lt;em&gt;1324.8&lt;/em&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;1104&lt;br /&gt;
-°12'&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;32/17, 17/9, 19/10&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;9&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;vvM7&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;double-downmajor 7th&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;C#vv&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;24&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1152, &lt;em&gt;1382.4&lt;/em&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;1152&lt;br /&gt;
-°36'&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;33/17, 64/33, 76/39&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;9#/1b&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;vM7&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;downmajor 7th&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;C#v&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;25&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1200, 1440&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;1200&lt;br /&gt;
-°&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;2/1&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;1&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;P8&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;perfect 8ve&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;C#, D&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
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