11edo: 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:~~TallKite~~|~~TallKite~~]] and made on <tt>2016-12-~~25 22~~:18:01 UTC</tt>.

: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-12-29 07:53:20 UTC</tt>.

: The original revision id was <tt>~~602809330~~</tt>.

: The original revision id was <tt>602890256</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.

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=Intervals=

|| Harmonic || 8 || || 9 || || 11 || || 14 || || 16 ||

||~ Harmonic ||~ 8 ||~ ||~ 9 ||~ ||~ 11 ||~ ||~ 14 ||~ ||~ 16 ||

|| JI interval from 1/1 || 1/1 = 0 cents || || 9/8 = 204 || || 11/8 = 551 || || 7/4 = 969 || || 2/1 = 1200 ||

||~ JI interval from 1/1 || 1/1 = 0 cents || || 9/8 = 204 || || 11/8 = 551 || || 7/4 = 969 || || 2/1 = 1200 ||

|| nearest 11edo interval || 0\11edo = 0¢ || || 2\11 = 218¢ || || 5\11 = 545 || || 9\11 = 982 || || 11\11 = 1200 ||

||~ nearest 11edo interval || 0\11edo = 0¢ || || 2\11 = 218¢ || || 5\11 = 545 || || 9\11 = 982 || || 11\11 = 1200 ||

|| difference || 0 || || +14¢ || || -6¢ || || +13¢ || || 0¢ ||

||~ difference || 0 || || +14¢ || || -6¢ || || +13¢ || || 0¢ ||

|| JI interval between || || 9:8 = 204¢ || || 11:9 = 347 || || 14:11 = 418 || || 8:7 = 231 || ||

||~ JI interval between || || 9:8 = 204¢ || || 11:9 = 347 || || 14:11 = 418 || || 8:7 = 231 || ||

|| nearest 11edo interval || || 2\11 = 218¢ || || 3\11 = 327 || || 4\11 = 436 || || 2\11 = 218 || ||

||~ nearest 11edo interval || || 2\11 = 218¢ || || 3\11 = 327 || || 4\11 = 436 || || 2\11 = 218 || ||

|| difference || || +14¢ || || -20¢ || || +18¢ || || -13¢ || ||

||~ difference || || +14¢ || || -20¢ || || +18¢ || || -13¢ || ||

11edo also may be considered a 2.7.9.11.15.17 subgroup temperament. See diagram:

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The second approach preserves the __harmonic__ meaning of sharp/flat, major/minor and aug/dim, in that the former is always further fifthwards on the chain of fifths than the latter. Sharp is lower in pitch than flat, and major/aug is narrower than minor/dim. While this approach may seem bizarre at first, interval arithmetic and chord names work as usual. Furthermore, conventional 12edo music can be directly translated to 11edo "on the fly".

||~~= degree~~ ||~~= cents~~ ||~~= solfege~~ ||= Approximate

||~ Degree ||~ Size in

Ratios* ||= Sagittal

[[cent|Cents]] ||~ Solfege ||~ Approximate Ratios* ||~ Sagittal

notation

(22edo subset) ||||= [[Ups and Downs Notation|Up/down notation ]]

(22edo subset) ||||~ [[Ups and Downs Notation|Up/down notation]]

with major wider

than minor ||||= Up/down notation

than minor ||||~ Up/down notation

with major narrower

than minor ||= [[Tútim Dennsuul Wafiil|TDW]]

than minor ||~ [[Tútim Dennsuul Wafiil|TDW]]

Machine

notation ||

||= 0 ||= 0.00 ||= **do** ||= 1/1 ||= A ||= P1 ||= A ||= P1 ||= A ||= Q\P# ||

||= 0 ||> 0.00 ||= **do** ||= 1/1 ||= A ||= P1 ||= A ||= P1 ||= A ||= Q\P# ||

||= 1 ||= 109.09 ||= **ra** ||= 15/14, 16/15,

||= 1 ||> 109.09 ||= **ra** ||= [[15_14|15/14]], [[16_15|16/15]], [[17_16|17/16]], [[18_17|18/17]] ||= AII\ or B!!/ ||= ^1, m2 ||= A^, B ||= ^1, M2 ||= A^, B ||= Q#\Rb ||

17/16, 18/17 ||= AII\ or B!!/ ||= ^1, m2 ||= A^, B ||= ^1, M2 ||= A^, B ||= Q#\Rb ||

||= 2 ||> 218.18 ||= **re** ||= [[8_7|8/7]], [[9_8|9/8]], [[17_15|17/15]] ||= B ||= ~2, m3 ||= B^, Cb ||= ~2, M3 ||= B^, C# ||= R ||

||= 2 ||= 218.18 ||= **re** ||= 8/7, 9/8, 17/15 ||= B ||= ~2, m3 ||= B^, Cb ||= ~2, M3 ||= B^, C# ||= R ||

||= 3 ||> 327.27 ||= **me** ||= [[6_5|6/5]], [[11_9|11/9]], [[17_14|17/14]] ||= C/I or BII\ or D\!!/ ||= M2, ~3 ||= B#, Cv ||= m2, ~3 ||= Bb, Cv ||= R#\Sb ||

||= 3 ||= 327.27 ||= **me** ||= 6/5, 11/9, 17/14 ||= C/I or BII\ or D\!!/ ||= M2, ~3 ||= B#, Cv ||= m2, ~3 ||= Bb, Cv ||= R#\Sb ||

||= 4 ||> 436.36 ||= **mo** ||= [[9_7|9/7]], [[14_11|14/11]], [[22_17|22/17]] ||= D\! or C/II\ ||= M3, v4 ||= C, Dv ||= m3, v4 ||= C, Dv ||= S ||

||= 4 ||= 436.36 ||= **mo** ||= 9/7, 14/11, 22/17 ||= D\! or C/II\ ||= M3, v4 ||= C, Dv ||= m3, v4 ||= C, Dv ||= S ||

||= 5 ||> 545.45 ||= **fu** ||= [[11_8|11/8]], [[15_11|15/11]] ||= D/I or E\!!/ ||= P4, v5 ||= D, Ev ||= P4, v5 ||= D, Ev ||= S#\Tb ||

||= 5 ||= 545.45 ||= **fu** ||= 11/8, 15/11 ||= D/I or E\!!/ ||= P4, v5 ||= D, Ev ||= P4, v5 ||= D, Ev ||= S#\Tb ||

||= 6 ||> 654.55 ||= **su** ||= [[16_11|16/11]], [[22_15|22/15]] ||= E\! or D/II\ ||= ^4, P5 ||= D^, E ||= ^4, P5 ||= D^, E ||= T ||

||= 6 ||= 654.55 ||= **su** ||= 16/11, 22/15 ||= E\! or D/II\ ||= ^4, P5 ||= D^, E ||= ^4, P5 ||= D^, E ||= T ||

||= 7 ||> 763.64 ||= **lo** ||= [[11_7|11/7]], [[14_9|14/9]], [[17_11|17/11]] ||= F ||= ^5, m6 ||= E^, Fb ||= ^5, M6 ||= E^, F# ||= T#\Ub ||

||= 7 ||= 763.64 ||= **lo** ||= 11/7, 14/9, 17/11 ||= F ||= ^5, m6 ||= E^, Fb ||= ^5, M6 ||= E^, F# ||= T#\Ub ||

||= 8 ||> 872.73 ||= **la** ||= [[5_3|5/3]], [[18_11|18/11]], [[28_17|28/17]] ||= FII\ or G!!/ ||= ~6, m7 ||= Fv, Gb ||= ~6, M7 ||= Fv, G# ||= U ||

||= 8 ||= 872.73 ||= **la** ||= 5/3, 18/11, 28/17 ||= FII\ or G!!/ ||= ~6, m7 ||= Fv, Gb ||= ~6, M7 ||= Fv, G# ||= U ||

||= 9 ||> 981.82 ||= **ta** ||= [[7_4|7/4]], [[16_9|16/9]], [[30_17|30/17]] ||= G ||= M6, ~7 ||= F, Gv ||= m6, ~7 ||= F, Gv ||= U#\Pb ||

||= 9 ||= 981.82 ||= **ta** ||= 7/4, 16/9, 30/17 ||= G ||= M6, ~7 ||= F, Gv ||= m6, ~7 ||= F, Gv ||= U#\Pb ||

||= 10 ||> 1090.91 ||= **ti** ||= [[15_8|15/8]], [[17_9|17/9]], [[28_15|28/15]], [[32_17|32/17]] ||= GII\ or A!!/ ||= M7, v8 ||= G, Av ||= m7, v8 ||= G, Av ||= P\Qb ||

||= 10 ||= 1090.91 ||= **ti** ||= 15/8, 17/9,

||= 11 ||> 1200.00 ||= **do** ||= 2/1 ||= A ||= P8 ||= A ||= P8 ||= A ||= Q\P# ||

28/15, 32/17 ||= GII\ or A!!/ ||= M7, v8 ||= G, Av ||= m7, v8 ||= G, Av ||= P\Qb ||

||= 11 ||= 1200 ||= **do** ||= 2/1 ||= A ||= P8 ||= A ||= P8 ||= A ||= Q\P# ||

*in 2.7.9.11.15.17 subgroup

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11 EDO tempers out the following commas. (Note: This assumes val < 11 17 26 31 38 41 |.)

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

||~ Rational ||~ Monzo ||~ Size ([[cent|Cents]]) ||~ Name 1 ||~ Name 2 ||~ Name 3 ||

||= 135/128 ||~~<~~ | -7 3 1 > ||> 92.18 ||= Major Chroma ||= Major Limma ||= Pelogic Comma ||

||= [[135_128|135/128]] || | -7 3 1 > ||> 92.18 ||= Major Chroma ||= Major Limma ||= Pelogic Comma ||

||= ||~~<~~ | -25 7 6 > ||> 31.57 ||= Ampersand's Comma ||= ||= ||

||= 9931568/9752117 || | -25 7 6 > ||> 31.57 ||= Ampersand's Comma ||= ||= ||

||= ||~~<~~ | -68 18 17 > ||> 2.52 ||= Vavoom ||= ||= ||

||= 1776337/1773750 || | -68 18 17 > ||> 2.52 ||= Vavoom ||= ||= ||

||= ||~~<~~ | -10 7 8 -7 > ||> 22.41 ||= Blackjackisma ||= ||= ||

||= 9859966/9733137 || | -10 7 8 -7 > ||> 22.41 ||= Blackjackisma ||= ||= ||

||= 1029/1024 ||~~<~~ | -10 1 0 3 > ||> 8.43 ||= Gamelisma ||= ||= ||

||= 1029/1024 || | -10 1 0 3 > ||> 8.43 ||= Gamelisma ||= ||= ||

||= 225/224 ||~~<~~ | -5 2 2 -1 > ||> 7.71 ||= Septimal Kleisma ||= Marvel Comma ||= ||

||= [[225_224|225/224]] || | -5 2 2 -1 > ||> 7.71 ||= Septimal Kleisma ||= Marvel Comma ||= ||

||= 16875/16807 ||~~<~~ | 0 3 4 -5 > ||> 6.99 ||= Mirkwai ||= ||= ||

||= 16875/16807 || | 0 3 4 -5 > ||> 6.99 ||= Mirkwai ||= ||= ||

||= 2401/2400 ||~~<~~ | -5 -1 -2 4 > ||> 0.72 ||= Breedsma ||= ||= ||

||= 2401/2400 || | -5 -1 -2 4 > ||> 0.72 ||= Breedsma ||= ||= ||

||= 121/120 ||~~<~~ | -3 -1 -1 0 2 > ||> 14.37 ||= Biyatisma ||= ||= ||

||= 121/120 || | -3 -1 -1 0 2 > ||> 14.37 ||= Biyatisma ||= ||= ||

||= 65536/65219 ||~~<~~ | 16 0 0 -2 -3 > ||> 8.39 ||= Orgonisma ||= ||= ||

||= 65536/65219 || | 16 0 0 -2 -3 > ||> 8.39 ||= Orgonisma ||= ||= ||

=11edo Instant Ensemble=

In February 2011, [[http://oddmusicuc.wordpress.com/|Oddmusic U-C]], as part of its Microtonal Design Seminar, generated a 7-piece ensemble for playing music in 11edo. Instrumentation: autotuner, cümbüş, electronic keyboard, kalimba, retrofretted guitar, tuned bottles, udderbot. Recordings forthcoming.

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<tr>

<td>Harmonic

<th>Harmonic

</td>

</th>

<td>8

<th>8

</td>

</th>

<td>

<th>

</td>

</th>

<td>9

<th>9

</td>

</th>

<td>

<th>

</td>

</th>

<td>11

<th>11

</td>

</th>

<td>

<th>

</td>

</th>

<td>14

<th>14

</td>

</th>

<td>

<th>

</td>

</th>

<td>16

<th>16

</td>

</th>

</tr>

<tr>

<td>JI interval from 1/1

<th>JI interval from 1/1

</td>

</th>

<td>1/1 = 0 cents

</td>

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</tr>

<tr>

<td>nearest 11edo interval

<th>nearest 11edo interval

</td>

</th>

<td>0\11edo = 0¢

</td>

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Line 230:

</tr>

<tr>

<td>difference

<th>difference

</td>

</th>

<td>0

</td>

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Line 252:

</tr>

<tr>

<td>JI interval between

<th>JI interval between

</td>

</th>

<td>

</td>

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Line 274:

</tr>

<tr>

<td>nearest 11edo interval

<th>nearest 11edo interval

</td>

</th>

<td>

</td>

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</tr>

<tr>

<td>difference

<th>difference

</td>

</th>

<td>

</td>

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<tr>

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

<th>Degree

</td>

</th>

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

<th>Size in

</td>

<a class="wiki_link" href="/cent">Cents</a>

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

</th>

</td>

<th>Solfege

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

</th>

Ratios*

<th>Approximate Ratios*

</td>

</th>

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

<th>Sagittal

notation

(22edo subset)

</td>

</th>

<td colspan="2~~" style="text-align: center;~~"><a class="wiki_link" href="/Ups%20and%20Downs%20Notation">Up/down notation </a>

<th colspan="2"><a class="wiki_link" href="/Ups%20and%20Downs%20Notation">Up/down notation</a>

with major wider

than minor

</td>

</th>

<td colspan="2~~" style="text-align: center;~~">Up/down notation

<th colspan="2">Up/down notation

with major narrower

than minor

</td>

</th>

<~~td style="text-align: center;"~~><a class="wiki_link" href="/T%C3%BAtim%20Dennsuul%20Wafiil">TDW</a>

Machine

notation

</td>

</th>

</tr>

<tr>

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

</td>

<td style="text-align: ~~center~~;">0.00

<td style="text-align: right;">0.00

</td>

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

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

</td>

<td style="text-align: ~~center~~;">109.09

<td style="text-align: right;">109.09

</td>

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

</td>

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

17/16, 18/17

</td>

<td style="text-align: center;">AII\ or B!!/

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

</td>

<td style="text-align: ~~center~~;">218.18

<td style="text-align: right;">218.18

</td>

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

</td>

<td style="text-align: center;">8/7, 9/8, 17/15

</td>

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

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

</td>

<td style="text-align: ~~center~~;">327.27

<td style="text-align: right;">327.27

</td>

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

</td>

<td style="text-align: center;">6/5, 11/9, 17/14

</td>

<td style="text-align: center;">C/I or BII\ or D\!!/

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

</td>

<td style="text-align: ~~center~~;">436.36

<td style="text-align: right;">436.36

</td>

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

</td>

<td style="text-align: center;">9/7, 14/11, 22/17

</td>

<td style="text-align: center;">D\! or C/II\

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

</td>

<td style="text-align: ~~center~~;">545.45

<td style="text-align: right;">545.45

</td>

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

</td>

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

</td>

<td style="text-align: center;">D/I or E\!!/

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

</td>

<td style="text-align: ~~center~~;">654.55

<td style="text-align: right;">654.55

</td>

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

</td>

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

</td>

<td style="text-align: center;">E\! or D/II\

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

</td>

<td style="text-align: ~~center~~;">763.64

<td style="text-align: right;">763.64

</td>

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

</td>

<td style="text-align: center;">11/7, 14/9, 17/11

</td>

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

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

</td>

<td style="text-align: ~~center~~;">872.73

<td style="text-align: right;">872.73

</td>

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

</td>

<td style="text-align: center;">5/3, 18/11, 28/17

</td>

<td style="text-align: center;">FII\ or G!!/

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

</td>

<td style="text-align: ~~center~~;">981.82

<td style="text-align: right;">981.82

</td>

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

</td>

<td style="text-align: center;">7/4, 16/9, 30/17

</td>

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

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

</td>

<td style="text-align: ~~center~~;">1090.91

<td style="text-align: right;">1090.91

</td>

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

</td>

<td style="text-align: center;">15/8, 17/9,

28/15, 32/17

</td>

<td style="text-align: center;">GII\ or A!!/

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

</td>

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

<td style="text-align: right;">1200.00

</td>

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

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<tr>

<th>~~Comma~~

<th>Rational

</th>

<th>Monzo

</th>

<th>~~Value~~ (Cents)

<th>Size (<a class="wiki_link" href="/cent">Cents</a>)

</th>

<th>Name 1

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</tr>

<tr>

<td style="text-align: center;">135/128

</td>

<td ~~style="text-align: left;"~~>| -7 3 1 &gt;

<td>| -7 3 1 &gt;

</td>

<td style="text-align: right;">92.18

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</tr>

<tr>

<td style="text-align: center;">9931568/9752117

</td>

<td ~~style="text-align: left;"~~>| -25 7 6 &gt;

<td>| -25 7 6 &gt;

</td>

<td style="text-align: right;">31.57

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</tr>

<tr>

<td style="text-align: center;">1776337/1773750

</td>

<td ~~style="text-align: left;"~~>| -68 18 17 &gt;

<td>| -68 18 17 &gt;

</td>

<td style="text-align: right;">2.52

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</tr>

<tr>

<td style="text-align: center;">9859966/9733137

</td>

<td ~~style="text-align: left;"~~>| -10 7 8 -7 &gt;

<td>| -10 7 8 -7 &gt;

</td>

<td style="text-align: right;">22.41

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<td style="text-align: center;">1029/1024

</td>

<td ~~style="text-align: left;"~~>| -10 1 0 3 &gt;

<td>| -10 1 0 3 &gt;

</td>

<td style="text-align: right;">8.43

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</tr>

<tr>

<td style="text-align: center;">225/224

</td>

<td ~~style="text-align: left;"~~>| -5 2 2 -1 &gt;

<td>| -5 2 2 -1 &gt;

</td>

<td style="text-align: right;">7.71

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<td style="text-align: center;">16875/16807

</td>

<td ~~style="text-align: left;"~~>| 0 3 4 -5 &gt;

<td>| 0 3 4 -5 &gt;

</td>

<td style="text-align: right;">6.99

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<td style="text-align: center;">2401/2400

</td>

<td ~~style="text-align: left;"~~>| -5 -1 -2 4 &gt;

<td>| -5 -1 -2 4 &gt;

</td>

<td style="text-align: right;">0.72

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<td style="text-align: center;">121/120

</td>

<td ~~style="text-align: left;"~~>| -3 -1 -1 0 2 &gt;

<td>| -3 -1 -1 0 2 &gt;

</td>

<td style="text-align: right;">14.37

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<td style="text-align: center;">65536/65219

</td>

<td ~~style="text-align: left;"~~>| 16 0 0 -2 -3 &gt;

<td>| 16 0 0 -2 -3 &gt;

</td>

<td style="text-align: right;">8.39

@@ 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:TallKite|TallKite]] and made on <tt>2016-12-25 22:18:01 UTC</tt>.<br>
+: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-12-29 07:53:20 UTC</tt>.<br>
-: The original revision id was <tt>602809330</tt>.<br>
+: The original revision id was <tt>602890256</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 30: / Line 30: @@
 =Intervals=
-|| Harmonic || 8 ||   || 9 ||   || 11 ||   || 14 ||   || 16 ||
+||~ Harmonic ||~ 8 ||~   ||~ 9 ||~   ||~ 11 ||~   ||~ 14 ||~   ||~ 16 ||
-|| JI interval from 1/1 || 1/1 = 0 cents ||   || 9/8 = 204 ||   || 11/8 = 551 ||   || 7/4 = 969 ||   || 2/1 = 1200 ||
+||~ JI interval from 1/1 || 1/1 = 0 cents ||   || 9/8 = 204 ||   || 11/8 = 551 ||   || 7/4 = 969 ||   || 2/1 = 1200 ||
-|| nearest 11edo interval || 0\11edo = 0¢ ||   || 2\11 = 218¢ ||   || 5\11 = 545 ||   || 9\11 = 982 ||   || 11\11 = 1200 ||
+||~ nearest 11edo interval || 0\11edo = 0¢ ||   || 2\11 = 218¢ ||   || 5\11 = 545 ||   || 9\11 = 982 ||   || 11\11 = 1200 ||
-|| difference || 0 ||   || +14¢ ||   || -6¢ ||   || +13¢ ||   || 0¢ ||
+||~ difference || 0 ||   || +14¢ ||   || -6¢ ||   || +13¢ ||   || 0¢ ||
-|| JI interval between ||   || 9:8 = 204¢ ||   || 11:9 = 347 ||   || 14:11 = 418 ||   || 8:7 = 231 ||   ||
+||~ JI interval between ||   || 9:8 = 204¢ ||   || 11:9 = 347 ||   || 14:11 = 418 ||   || 8:7 = 231 ||   ||
-|| nearest 11edo interval ||   || 2\11 = 218¢ ||   || 3\11 = 327 ||   || 4\11 = 436 ||   || 2\11 = 218 ||   ||
+||~ nearest 11edo interval ||   || 2\11 = 218¢ ||   || 3\11 = 327 ||   || 4\11 = 436 ||   || 2\11 = 218 ||   ||
-|| difference ||   || +14¢ ||   || -20¢ ||   || +18¢ ||   || -13¢ ||   ||
+||~ difference ||   || +14¢ ||   || -20¢ ||   || +18¢ ||   || -13¢ ||   ||
 edo also may be considered a 2.7.9.11.15.17 subgroup temperament. See diagram:
@@ Line 52: / Line 52: @@
 The second approach preserves the __harmonic__ meaning of sharp/flat, major/minor and aug/dim, in that the former is always further fifthwards on the chain of fifths than the latter. Sharp is lower in pitch than flat, and major/aug is narrower than minor/dim. While this approach may seem bizarre at first, interval arithmetic and chord names work as usual. Furthermore, conventional 12edo music can be directly translated to 11edo "on the fly".
-||= degree ||= cents ||= solfege ||= Approximate
+||~ Degree ||~ Size in
-Ratios* ||= Sagittal
+[[cent|Cents]] ||~ Solfege ||~ Approximate Ratios* ||~ Sagittal
 notation
-(22edo subset) ||||= [[Ups and Downs Notation|Up/down notation ]]
+(22edo subset) ||||~ [[Ups and Downs Notation|Up/down notation]]
 with major wider
-than minor ||||= Up/down notation
+than minor ||||~ Up/down notation
 with major narrower
-than minor ||= [[Tútim Dennsuul Wafiil|TDW]]
+than minor ||~ [[Tútim Dennsuul Wafiil|TDW]]
 Machine
 notation ||
-||= 0 ||= 0.00 ||= **do** ||= 1/1 ||= A ||= P1 ||= A ||= P1 ||= A ||= Q\P# ||
+||= 0 ||&gt; 0.00 ||= **do** ||= 1/1 ||= A ||= P1 ||= A ||= P1 ||= A ||= Q\P# ||
-||= 1 ||= 109.09 ||= **ra** ||= 15/14, 16/15,
+||= 1 ||&gt; 109.09 ||= **ra** ||= [[15_14|15/14]], [[16_15|16/15]], [[17_16|17/16]], [[18_17|18/17]] ||= AII\ or B!!/ ||= ^1, m2 ||= A^, B ||= ^1, M2 ||= A^, B ||= Q#\Rb ||
-/16, 18/17 ||= AII\ or B!!/ ||= ^1, m2 ||= A^, B ||= ^1, M2 ||= A^, B ||= Q#\Rb ||
+||= 2 ||&gt; 218.18 ||= **re** ||= [[8_7|8/7]], [[9_8|9/8]], [[17_15|17/15]] ||= B ||= ~2, m3 ||= B^, Cb ||= ~2, M3 ||= B^, C# ||= R ||
-||= 2 ||= 218.18 ||= **re** ||= 8/7, 9/8, 17/15 ||= B ||= ~2, m3 ||= B^, Cb ||= ~2, M3 ||= B^, C# ||= R ||
+||= 3 ||&gt; 327.27 ||= **me** ||= [[6_5|6/5]], [[11_9|11/9]], [[17_14|17/14]] ||= C/I or BII\ or D\!!/ ||= M2, ~3 ||= B#, Cv ||= m2, ~3 ||= Bb, Cv ||= R#\Sb ||
-||= 3 ||= 327.27 ||= **me** ||= 6/5, 11/9, 17/14 ||= C/I or BII\ or D\!!/ ||= M2, ~3 ||= B#, Cv ||= m2, ~3 ||= Bb, Cv ||= R#\Sb ||
+||= 4 ||&gt; 436.36 ||= **mo** ||= [[9_7|9/7]], [[14_11|14/11]], [[22_17|22/17]] ||= D\! or C/II\ ||= M3, v4 ||= C, Dv ||= m3, v4 ||= C, Dv ||= S ||
-||= 4 ||= 436.36 ||= **mo** ||= 9/7, 14/11, 22/17 ||= D\! or C/II\ ||= M3, v4 ||= C, Dv ||= m3, v4 ||= C, Dv ||= S ||
+||= 5 ||&gt; 545.45 ||= **fu** ||= [[11_8|11/8]], [[15_11|15/11]] ||= D/I or E\!!/ ||= P4, v5 ||= D, Ev ||= P4, v5 ||= D, Ev ||= S#\Tb ||
-||= 5 ||= 545.45 ||= **fu** ||= 11/8, 15/11 ||= D/I or E\!!/ ||= P4, v5 ||= D, Ev ||= P4, v5 ||= D, Ev ||= S#\Tb ||
+||= 6 ||&gt; 654.55 ||= **su** ||= [[16_11|16/11]], [[22_15|22/15]] ||= E\! or D/II\ ||= ^4, P5 ||= D^, E ||= ^4, P5 ||= D^, E ||= T ||
-||= 6 ||= 654.55 ||= **su** ||= 16/11, 22/15 ||= E\! or D/II\ ||= ^4, P5 ||= D^, E ||= ^4, P5 ||= D^, E ||= T ||
+||= 7 ||&gt; 763.64 ||= **lo** ||= [[11_7|11/7]], [[14_9|14/9]], [[17_11|17/11]] ||= F ||= ^5, m6 ||= E^, Fb ||= ^5, M6 ||= E^, F# ||= T#\Ub ||
-||= 7 ||= 763.64 ||= **lo** ||= 11/7, 14/9, 17/11 ||= F ||= ^5, m6 ||= E^, Fb ||= ^5, M6 ||= E^, F# ||= T#\Ub ||
+||= 8 ||&gt; 872.73 ||= **la** ||= [[5_3|5/3]], [[18_11|18/11]], [[28_17|28/17]] ||= FII\ or G!!/ ||= ~6, m7 ||= Fv, Gb ||= ~6, M7 ||= Fv, G# ||= U ||
-||= 8 ||= 872.73 ||= **la** ||= 5/3, 18/11, 28/17 ||= FII\ or G!!/ ||= ~6, m7 ||= Fv, Gb ||= ~6, M7 ||= Fv, G# ||= U ||
+||= 9 ||&gt; 981.82 ||= **ta** ||= [[7_4|7/4]], [[16_9|16/9]], [[30_17|30/17]] ||= G ||= M6, ~7 ||= F, Gv ||= m6, ~7 ||= F, Gv ||= U#\Pb ||
-||= 9 ||= 981.82 ||= **ta** ||= 7/4, 16/9, 30/17 ||= G ||= M6, ~7 ||= F, Gv ||= m6, ~7 ||= F, Gv ||= U#\Pb ||
+||= 10 ||&gt; 1090.91 ||= **ti** ||= [[15_8|15/8]], [[17_9|17/9]], [[28_15|28/15]], [[32_17|32/17]] ||= GII\ or A!!/ ||= M7, v8 ||= G, Av ||= m7, v8 ||= G, Av ||= P\Qb ||
-||= 10 ||= 1090.91 ||= **ti** ||= 15/8, 17/9,
+||= 11 ||&gt; 1200.00 ||= **do** ||= 2/1 ||= A ||= P8 ||= A ||= P8 ||= A ||= Q\P# ||
-/15, 32/17 ||= GII\ or A!!/ ||= M7, v8 ||= G, Av ||= m7, v8 ||= G, Av ||= P\Qb ||
-||= 11 ||= 1200 ||= **do** ||= 2/1 ||= A ||= P8 ||= A ||= P8 ||= A ||= Q\P# ||
 *in 2.7.9.11.15.17 subgroup
@@ Line 93: / Line 91: @@
 EDO tempers out the following commas. (Note: This assumes val &lt; 11 17 26 31 38 41 |.)
-||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 ||
+||~ Rational ||~ Monzo ||~ Size ([[cent|Cents]]) ||~ Name 1 ||~ Name 2 ||~ Name 3 ||
-||= 135/128 ||&lt; | -7 3 1 &gt; ||&gt; 92.18 ||= Major Chroma ||= Major Limma ||= Pelogic Comma ||
+||= [[135_128|135/128]] || | -7 3 1 &gt; ||&gt; 92.18 ||= Major Chroma ||= Major Limma ||= Pelogic Comma ||
-||=   ||&lt; | -25 7 6 &gt; ||&gt; 31.57 ||= Ampersand's Comma ||=   ||=   ||
+||= 9931568/9752117 || | -25 7 6 &gt; ||&gt; 31.57 ||= Ampersand's Comma ||=   ||=   ||
-||=   ||&lt; | -68 18 17 &gt; ||&gt; 2.52 ||= Vavoom ||=   ||=   ||
+||= 1776337/1773750 || | -68 18 17 &gt; ||&gt; 2.52 ||= Vavoom ||=   ||=   ||
-||=   ||&lt; | -10 7 8 -7 &gt; ||&gt; 22.41 ||= Blackjackisma ||=   ||=   ||
+||= 9859966/9733137  || | -10 7 8 -7 &gt; ||&gt; 22.41 ||= Blackjackisma ||=   ||=   ||
-||= 1029/1024 ||&lt; | -10 1 0 3 &gt; ||&gt; 8.43 ||= Gamelisma ||=   ||=   ||
+||= 1029/1024 || | -10 1 0 3 &gt; ||&gt; 8.43 ||= Gamelisma ||=   ||=   ||
-||= 225/224 ||&lt; | -5 2 2 -1 &gt; ||&gt; 7.71 ||= Septimal Kleisma ||= Marvel Comma ||=   ||
+||= [[225_224|225/224]] || | -5 2 2 -1 &gt; ||&gt; 7.71 ||= Septimal Kleisma ||= Marvel Comma ||=   ||
-||= 16875/16807 ||&lt; | 0 3 4 -5 &gt; ||&gt; 6.99 ||= Mirkwai ||=   ||=   ||
+||= 16875/16807 || | 0 3 4 -5 &gt; ||&gt; 6.99 ||= Mirkwai ||=   ||=   ||
-||= 2401/2400 ||&lt; | -5 -1 -2 4 &gt; ||&gt; 0.72 ||= Breedsma ||=   ||=   ||
+||= 2401/2400 || | -5 -1 -2 4 &gt; ||&gt; 0.72 ||= Breedsma ||=   ||=   ||
-||= 121/120 ||&lt; | -3 -1 -1 0 2 &gt; ||&gt; 14.37 ||= Biyatisma ||=   ||=   ||
+||= 121/120 || | -3 -1 -1 0 2 &gt; ||&gt; 14.37 ||= Biyatisma ||=   ||=   ||
-||= 65536/65219 ||&lt; | 16 0 0 -2 -3 &gt; ||&gt; 8.39 ||= Orgonisma ||=   ||=   ||
+||= 65536/65219 || | 16 0 0 -2 -3 &gt; ||&gt; 8.39 ||= Orgonisma ||=   ||=   ||
 =11edo Instant Ensemble=
 In February 2011, [[http://oddmusicuc.wordpress.com/|Oddmusic U-C]], as part of its Microtonal Design Seminar, generated a 7-piece ensemble for playing music in 11edo. Instrumentation: autotuner, cümbüş, electronic keyboard, kalimba, retrofretted guitar, tuned bottles, udderbot. Recordings forthcoming.
@@ Line 166: / Line 164: @@
 &lt;table class="wiki_table"&gt;
      &lt;tr&gt;
-         &lt;td&gt;Harmonic&lt;br /&gt;
+         &lt;th&gt;Harmonic&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
-         &lt;td&gt;8&lt;br /&gt;
+         &lt;th&gt;8&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;th&gt;&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
-         &lt;td&gt;9&lt;br /&gt;
+         &lt;th&gt;9&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;th&gt;&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
-         &lt;td&gt;11&lt;br /&gt;
+         &lt;th&gt;11&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;th&gt;&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
-         &lt;td&gt;14&lt;br /&gt;
+         &lt;th&gt;14&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;th&gt;&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
-         &lt;td&gt;16&lt;br /&gt;
+         &lt;th&gt;16&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;JI interval from 1/1&lt;br /&gt;
+         &lt;th&gt;JI interval from 1/1&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
          &lt;td&gt;1/1 = 0 cents&lt;br /&gt;
 &lt;/td&gt;
@@ Line 210: / Line 208: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;nearest 11edo interval&lt;br /&gt;
+         &lt;th&gt;nearest 11edo interval&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
          &lt;td&gt;0\11edo = 0¢&lt;br /&gt;
 &lt;/td&gt;
@@ Line 232: / Line 230: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;difference&lt;br /&gt;
+         &lt;th&gt;difference&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
          &lt;td&gt;0&lt;br /&gt;
 &lt;/td&gt;
@@ Line 254: / Line 252: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;JI interval between&lt;br /&gt;
+         &lt;th&gt;JI interval between&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
@@ Line 276: / Line 274: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;nearest 11edo interval&lt;br /&gt;
+         &lt;th&gt;nearest 11edo interval&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
@@ Line 298: / Line 296: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;difference&lt;br /&gt;
+         &lt;th&gt;difference&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
@@ Line 340: / Line 338: @@
 &lt;table class="wiki_table"&gt;
      &lt;tr&gt;
-         &lt;td style="text-align: center;"&gt;degree&lt;br /&gt;
+         &lt;th&gt;Degree&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
-         &lt;td style="text-align: center;"&gt;cents&lt;br /&gt;
+         &lt;th&gt;Size in&lt;br /&gt;
-&lt;/td&gt;
+&lt;a class="wiki_link" href="/cent"&gt;Cents&lt;/a&gt;&lt;br /&gt;
-        &lt;td style="text-align: center;"&gt;solfege&lt;br /&gt;
+&lt;/th&gt;
-&lt;/td&gt;
+         &lt;th&gt;Solfege&lt;br /&gt;
-         &lt;td style="text-align: center;"&gt;Approximate&lt;br /&gt;
+&lt;/th&gt;
-Ratios*&lt;br /&gt;
+        &lt;th&gt;Approximate Ratios*&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
-         &lt;td style="text-align: center;"&gt;Sagittal&lt;br /&gt;
+         &lt;th&gt;Sagittal&lt;br /&gt;
 notation&lt;br /&gt;
 (22edo subset)&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
-         &lt;td colspan="2" style="text-align: center;"&gt;&lt;a class="wiki_link" href="/Ups%20and%20Downs%20Notation"&gt;Up/down notation &lt;/a&gt;&lt;br /&gt;
+         &lt;th colspan="2"&gt;&lt;a class="wiki_link" href="/Ups%20and%20Downs%20Notation"&gt;Up/down notation&lt;/a&gt;&lt;br /&gt;
 with major wider&lt;br /&gt;
 than minor&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
-         &lt;td colspan="2" style="text-align: center;"&gt;Up/down notation&lt;br /&gt;
+         &lt;th colspan="2"&gt;Up/down notation&lt;br /&gt;
 with major narrower&lt;br /&gt;
 than minor&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
-         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/T%C3%BAtim%20Dennsuul%20Wafiil"&gt;TDW&lt;/a&gt;&lt;br /&gt;
+         &lt;th&gt;&lt;a class="wiki_link" href="/T%C3%BAtim%20Dennsuul%20Wafiil"&gt;TDW&lt;/a&gt;&lt;br /&gt;
 Machine&lt;br /&gt;
 notation&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
          &lt;td style="text-align: center;"&gt;0&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;0.00&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;0.00&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;strong&gt;do&lt;/strong&gt;&lt;br /&gt;
@@ Line 391: / Line 389: @@
          &lt;td style="text-align: center;"&gt;1&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;109.09&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;109.09&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;strong&gt;ra&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;15/14, 16/15,&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/15_14"&gt;15/14&lt;/a&gt;, &lt;a class="wiki_link" href="/16_15"&gt;16/15&lt;/a&gt;, &lt;a class="wiki_link" href="/17_16"&gt;17/16&lt;/a&gt;, &lt;a class="wiki_link" href="/18_17"&gt;18/17&lt;/a&gt;&lt;br /&gt;
-/16, 18/17&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;AII\ or B!!/&lt;br /&gt;
@@ Line 414: / Line 411: @@
          &lt;td style="text-align: center;"&gt;2&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;218.18&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;218.18&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;strong&gt;re&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;8/7, 9/8, 17/15&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/8_7"&gt;8/7&lt;/a&gt;, &lt;a class="wiki_link" href="/9_8"&gt;9/8&lt;/a&gt;, &lt;a class="wiki_link" href="/17_15"&gt;17/15&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;B&lt;br /&gt;
@@ Line 436: / Line 433: @@
          &lt;td style="text-align: center;"&gt;3&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;327.27&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;327.27&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;strong&gt;me&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;6/5, 11/9, 17/14&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/6_5"&gt;6/5&lt;/a&gt;, &lt;a class="wiki_link" href="/11_9"&gt;11/9&lt;/a&gt;, &lt;a class="wiki_link" href="/17_14"&gt;17/14&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;C/I or BII\ or D\!!/&lt;br /&gt;
@@ Line 458: / Line 455: @@
          &lt;td style="text-align: center;"&gt;4&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;436.36&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;436.36&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;strong&gt;mo&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;9/7, 14/11, 22/17&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/9_7"&gt;9/7&lt;/a&gt;, &lt;a class="wiki_link" href="/14_11"&gt;14/11&lt;/a&gt;, &lt;a class="wiki_link" href="/22_17"&gt;22/17&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;D\! or C/II\&lt;br /&gt;
@@ Line 480: / Line 477: @@
          &lt;td style="text-align: center;"&gt;5&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;545.45&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;545.45&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;strong&gt;fu&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;11/8, 15/11&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/11_8"&gt;11/8&lt;/a&gt;, &lt;a class="wiki_link" href="/15_11"&gt;15/11&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;D/I or E\!!/&lt;br /&gt;
@@ Line 502: / Line 499: @@
          &lt;td style="text-align: center;"&gt;6&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;654.55&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;654.55&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;strong&gt;su&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;16/11, 22/15&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/16_11"&gt;16/11&lt;/a&gt;, &lt;a class="wiki_link" href="/22_15"&gt;22/15&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;E\! or D/II\&lt;br /&gt;
@@ Line 524: / Line 521: @@
          &lt;td style="text-align: center;"&gt;7&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;763.64&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;763.64&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;strong&gt;lo&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;11/7, 14/9, 17/11&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/11_7"&gt;11/7&lt;/a&gt;, &lt;a class="wiki_link" href="/14_9"&gt;14/9&lt;/a&gt;, &lt;a class="wiki_link" href="/17_11"&gt;17/11&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;F&lt;br /&gt;
@@ Line 546: / Line 543: @@
          &lt;td style="text-align: center;"&gt;8&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;872.73&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;872.73&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;strong&gt;la&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;5/3, 18/11, 28/17&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/5_3"&gt;5/3&lt;/a&gt;, &lt;a class="wiki_link" href="/18_11"&gt;18/11&lt;/a&gt;, &lt;a class="wiki_link" href="/28_17"&gt;28/17&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;FII\ or G!!/&lt;br /&gt;
@@ Line 568: / Line 565: @@
          &lt;td style="text-align: center;"&gt;9&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;981.82&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;981.82&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;strong&gt;ta&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;7/4, 16/9, 30/17&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/7_4"&gt;7/4&lt;/a&gt;, &lt;a class="wiki_link" href="/16_9"&gt;16/9&lt;/a&gt;, &lt;a class="wiki_link" href="/30_17"&gt;30/17&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;G&lt;br /&gt;
@@ Line 590: / Line 587: @@
          &lt;td style="text-align: center;"&gt;10&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;1090.91&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;1090.91&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;strong&gt;ti&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;15/8, 17/9,&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/15_8"&gt;15/8&lt;/a&gt;, &lt;a class="wiki_link" href="/17_9"&gt;17/9&lt;/a&gt;, &lt;a class="wiki_link" href="/28_15"&gt;28/15&lt;/a&gt;, &lt;a class="wiki_link" href="/32_17"&gt;32/17&lt;/a&gt;&lt;br /&gt;
-/15, 32/17&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;GII\ or A!!/&lt;br /&gt;
@@ Line 613: / Line 609: @@
          &lt;td style="text-align: center;"&gt;11&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;1200&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;1200.00&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;strong&gt;do&lt;/strong&gt;&lt;br /&gt;
@@ Line 655: / Line 651: @@
 &lt;table class="wiki_table"&gt;
      &lt;tr&gt;
-         &lt;th&gt;Comma&lt;br /&gt;
+         &lt;th&gt;Rational&lt;br /&gt;
 &lt;/th&gt;
          &lt;th&gt;Monzo&lt;br /&gt;
 &lt;/th&gt;
-         &lt;th&gt;Value (Cents)&lt;br /&gt;
+         &lt;th&gt;Size (&lt;a class="wiki_link" href="/cent"&gt;Cents&lt;/a&gt;)&lt;br /&gt;
 &lt;/th&gt;
          &lt;th&gt;Name 1&lt;br /&gt;
@@ Line 669: / Line 665: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td style="text-align: center;"&gt;135/128&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/135_128"&gt;135/128&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;| -7 3 1 &amp;gt;&lt;br /&gt;
+         &lt;td&gt;| -7 3 1 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: right;"&gt;92.18&lt;br /&gt;
@@ Line 683: / Line 679: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;9931568/9752117&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;| -25 7 6 &amp;gt;&lt;br /&gt;
+         &lt;td&gt;| -25 7 6 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: right;"&gt;31.57&lt;br /&gt;
@@ Line 697: / Line 693: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;1776337/1773750&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;| -68 18 17 &amp;gt;&lt;br /&gt;
+         &lt;td&gt;| -68 18 17 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: right;"&gt;2.52&lt;br /&gt;
@@ Line 711: / Line 707: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;9859966/9733137&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;| -10 7 8 -7 &amp;gt;&lt;br /&gt;
+         &lt;td&gt;| -10 7 8 -7 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: right;"&gt;22.41&lt;br /&gt;
@@ Line 727: / Line 723: @@
          &lt;td style="text-align: center;"&gt;1029/1024&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;| -10 1 0 3 &amp;gt;&lt;br /&gt;
+         &lt;td&gt;| -10 1 0 3 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: right;"&gt;8.43&lt;br /&gt;
@@ Line 739: / Line 735: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td style="text-align: center;"&gt;225/224&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/225_224"&gt;225/224&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;| -5 2 2 -1 &amp;gt;&lt;br /&gt;
+         &lt;td&gt;| -5 2 2 -1 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: right;"&gt;7.71&lt;br /&gt;
@@ Line 755: / Line 751: @@
          &lt;td style="text-align: center;"&gt;16875/16807&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;| 0 3 4 -5 &amp;gt;&lt;br /&gt;
+         &lt;td&gt;| 0 3 4 -5 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: right;"&gt;6.99&lt;br /&gt;
@@ Line 769: / Line 765: @@
          &lt;td style="text-align: center;"&gt;2401/2400&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;| -5 -1 -2 4 &amp;gt;&lt;br /&gt;
+         &lt;td&gt;| -5 -1 -2 4 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: right;"&gt;0.72&lt;br /&gt;
@@ Line 783: / Line 779: @@
          &lt;td style="text-align: center;"&gt;121/120&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;| -3 -1 -1 0 2 &amp;gt;&lt;br /&gt;
+         &lt;td&gt;| -3 -1 -1 0 2 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: right;"&gt;14.37&lt;br /&gt;
@@ Line 797: / Line 793: @@
          &lt;td style="text-align: center;"&gt;65536/65219&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;| 16 0 0 -2 -3 &amp;gt;&lt;br /&gt;
+         &lt;td&gt;| 16 0 0 -2 -3 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: right;"&gt;8.39&lt;br /&gt;

11edo: Difference between revisions

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