26edo: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-12-28 02:07:56 UTC</tt>.

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//26edo// divides the [[octave]] into 26 equal parts of 46.154 [[cent]]s each. It tempers out 81/80 in the [[5-limit]], making it a meantone tuning with a very flat fifth. In the [[7-limit]], it tempers out 50/49, 525/512 and 875/864, and supports [[Meantone family|injera]], [[Meantone family|flattone]], [[Jubilismic clan#Lemba|lemba]] and [[Jubilismic clan#Doublewide|doublewide]] temperaments. It really comes into its own as a higher-limit temperament, being the smallest equal division which represents the [[13-limit|13 odd limit]] [[consistent|consistently]]. 26edo has a very good approximation of the harmonic seventh ([[7_4|7/4]]).

== Structure ==

==Structure==

The structure of 26edo is an interesting beast, with various approaches relating it to various rank two temperaments.

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5. It also has a pretty good 17th harmonic and tempers out the comma 459:448, thus three fifths gives a 17:14 and four gives a 21:17; "mushtone". Mushtone is high in badness, but 26edo does it pretty well (and [[33edo]] even better). Because 26edo also tempers out 85:84, the septendecimal major and minor thirds are equivalent to their pental counterparts, making mushtone the same as flattone.

== Intervals ==

==Intervals==

||~ Degrees ||~ Size in

[[cent|cents]] ||~ Approximate Ratios* ||~ Solfege ||

[[cent|cents]] ||~ Approximate Ratios* ||~ Solfege ||~ Interval

||= 0 ||~~>~~ 0.00 ||= 1/1 || do ||

Name ||~ Example

||= 1 ||~~>~~ 46.15 ||= [[33_32|33/32]], [[49_48|49/48]], [[36_35|36/35]], [[25_24|25/24]] || di ||

in D ||

||= 2 ||~~>~~ 92.31 ||= [[21_20|21/20]], [[22_21|22/21]], [[26_25|26/25]] || rih ||

||= 0 ||= 0.00 ||= 1/1 ||= do ||= P1 ||= D ||

||= 3 ||~~>~~ 138.46 ||= [[12_11|12/11]], [[13_12|13/12]], [[14_13|14/13]], [[16_15|16/15]] || ru ||

||= 1 ||= 46.15 ||= [[33_32|33/32]], [[49_48|49/48]], [[36_35|36/35]], [[25_24|25/24]] ||= di ||= A1 ||= D# ||

||= 4 ||~~>~~ 184.62 ||= [[9_8|9/8]], [[10_9|10/9]], [[11_10|11/10]] || re ||

||= 2 ||= 92.31 ||= [[21_20|21/20]], [[22_21|22/21]], [[26_25|26/25]] ||= rih ||= d2 ||= Ebb ||

||= 5 ||~~>~~ 230.77 ||= [[8_7|8/7]], 15/13 || ri ||

||= 3 ||= 138.46 ||= [[12_11|12/11]], [[13_12|13/12]], [[14_13|14/13]], [[16_15|16/15]] ||= ru ||= m2 ||= Eb ||

||= 6 ||~~>~~ 276.92 ||= [[7_6|7/6]], [[13_11|13/11]], [[33_28|33/28]] || ma ||

||= 4 ||= 184.62 ||= [[9_8|9/8]], [[10_9|10/9]], [[11_10|11/10]] ||= re ||= M2 ||= E ||

||= 7 ||~~>~~ 323.08 ||= [[6_5|6/5]] || me ||

||= 5 ||= 230.77 ||= [[8_7|8/7]], 15/13 ||= ri ||= A2 ||= E# ||

||= 8 ||~~>~~ 369.23 ||= [[5_4|5/4]], [[11_9|11/9]], [[16_13|16/13]] || muh/mi ||

||= 6 ||= 276.92 ||= [[7_6|7/6]], [[13_11|13/11]], [[33_28|33/28]] ||= ma ||= d3 ||= Fb ||

||= 9 ||~~>~~ 415.38 ||= [[9_7|9/7]], [[14_11|14/11]], [[33_26|33/26]] || maa ||

||= 7 ||= 323.08 ||= [[6_5|6/5]] ||= me ||= m3 ||= F ||

||= 10 ||~~>~~ 461.54 ||= [[21_16|21/16]], [[13_10|13/10]] || fe ||

||= 8 ||= 369.23 ||= [[5_4|5/4]], [[11_9|11/9]], [[16_13|16/13]] ||= muh/mi ||= M3 ||= F# ||

||= 11 ||~~>~~ 507.69 ||= [[4_3|4/3]] || fa ||

||= 9 ||= 415.38 ||= [[9_7|9/7]], [[14_11|14/11]], [[33_26|33/26]] ||= maa ||= A3 ||= Fx ||

||= 12 ||~~>~~ 553.85 ||= [[11_8|11/8]], [[18_13|18/13]] || fu ||

||= 10 ||= 461.54 ||= [[21_16|21/16]], [[13_10|13/10]] ||= fe ||= d4 ||= Gb ||

||= 13 ||~~>~~ 600.00 ||= [[7_5|7/5]], [[10_7|10/7]] || fi/se ||

||= 11 ||= 507.69 ||= [[4_3|4/3]] ||= fa ||= P4 ||= G ||

||= 14 ||~~>~~ 646.15 ||= [[16_11|16/11]], [[13_9|13/9]] || su ||

||= 12 ||= 553.85 ||= [[11_8|11/8]], [[18_13|18/13]] ||= fu ||= A4 ||= G# ||

||= 15 ||~~>~~ 692.31 ||= [[3_2|3/2]] || sol ||

||= 13 ||= 600.00 ||= [[7_5|7/5]], [[10_7|10/7]] ||= fi/se ||= AA4, dd5 ||= Gx, Abb ||

||= 16 ||~~>~~ 738.46 ||= [[32_21|32/21]], [[20_13|20/13]] || si ||

||= 14 ||= 646.15 ||= [[16_11|16/11]], [[13_9|13/9]] ||= su ||= d5 ||= Ab ||

||= 17 ||~~>~~ 784.62 ||= [[11_7|11/7]], [[14_9|14/9]] || leh ||

||= 15 ||= 692.31 ||= [[3_2|3/2]] ||= sol ||= P5 ||= A ||

||= 18 ||~~>~~ 830.77 ||= [[13_8|13/8]], [[8_5|8/5]] || le/lu ||

||= 16 ||= 738.46 ||= [[32_21|32/21]], [[20_13|20/13]] ||= si ||= A5 ||= A# ||

||= 19 ||~~>~~ 876.92 ||= [[5_3|5/3]] || la ||

||= 17 ||= 784.62 ||= [[11_7|11/7]], [[14_9|14/9]] ||= leh ||= d6 ||= Bbb ||

||= 20 ||~~>~~ 923.08 ||= [[12_7|12/7]], [[22_13|22/13]] || li ||

||= 18 ||= 830.77 ||= [[13_8|13/8]], [[8_5|8/5]] ||= le/lu ||= m6 ||= Bb ||

||= 21 ||~~>~~ 969.23 ||= [[7_4|7/4]] || ta ||

||= 19 ||= 876.92 ||= [[5_3|5/3]] ||= la ||= M6 ||= B ||

||= 22 ||~~>~~ 1015.38 ||= [[9_5|9/5]], [[16_9|16/9]], [[20_11|20/11]] || te ||

||= 20 ||= 923.08 ||= [[12_7|12/7]], [[22_13|22/13]] ||= li ||= A6 ||= B# ||

||= 23 ||~~>~~ 1061.54 ||= [[11_6|11/6]], [[13_7|13/7]], [[15_8|15/8]], [[24_13|24/13]] || tu/ti ||

||= 21 ||= 969.23 ||= [[7_4|7/4]] ||= ta ||= d7 ||= Cb ||

||= 24 ||~~>~~ 1107.69 ||= [[21_11|21/11]], [[25_13|25/13]], [[40_21|40/21]] || to ||

||= 22 ||= 1015.38 ||= [[9_5|9/5]], [[16_9|16/9]], [[20_11|20/11]] ||= te ||= m7 ||= C ||

||= 25 ||~~>~~ 1153.85 ||= [[64_33|64/33]], [[96_49|96/49]], [[35_18|35/18]], [[48_25|48/25]] || da ||

||= 23 ||= 1061.54 ||= [[11_6|11/6]], [[13_7|13/7]], [[15_8|15/8]], [[24_13|24/13]] ||= tu/ti ||= M7 ||= C# ||

||= 26 ||~~>~~ 1200.00 ||= 2/1 || do ||

||= 24 ||= 1107.69 ||= [[21_11|21/11]], [[25_13|25/13]], [[40_21|40/21]] ||= to ||= A7 ||= Cx ||

||= 25 ||= 1153.85 ||= [[64_33|64/33]], [[96_49|96/49]], [[35_18|35/18]], [[48_25|48/25]] ||= da ||= d8 ||= Db ||

||= 26 ||= 1200.00 ||= 2/1 ||= do ||= P8 ||= D ||

*based on treating 26-EDO as a 13-limit temperament; other approaches are possible.

Chords can be named using conventional methods, expanded to include augmented and diminished 2nd, 3rds, 6ths and 7ths. See the [[19edo]] page for examples.

==Selected just intervals by error==

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[[http://micro.soonlabel.com/26edo/20161224_26edo_wing.mp3|Morpheous Wing in 26 edo]] by [[Chris Vaisvil]]</pre></div>

<h4>Original HTML content:</h4>

<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>26edo</title></head><body><div id="toc"><h1 class="nopad">Table of Contents</h1><div style="margin-left: 2em;"><a href="#x-Structure"> Structure </a></div>

<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>26edo</title></head><body><div id="toc"><h1 class="nopad">Table of Contents</h1><div style="margin-left: 2em;"><a href="#x-Structure">Structure</a></div>

<div style="margin-left: 2em;"><a href="#x-Intervals"> Intervals </a></div>

<div style="margin-left: 2em;"><a href="#x-Intervals">Intervals</a></div>

<div style="margin-left: 2em;"><a href="#x-Selected just intervals by error">Selected just intervals by error</a></div>

<div style="margin-left: 1em;"><a href="#Rank two temperaments">Rank two temperaments</a></div>

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26edo divides the <a class="wiki_link" href="/octave">octave</a> into 26 equal parts of 46.154 <a class="wiki_link" href="/cent">cent</a>s each. It tempers out 81/80 in the <a class="wiki_link" href="/5-limit">5-limit</a>, making it a meantone tuning with a very flat fifth. In the <a class="wiki_link" href="/7-limit">7-limit</a>, it tempers out 50/49, 525/512 and 875/864, and supports <a class="wiki_link" href="/Meantone%20family">injera</a>, <a class="wiki_link" href="/Meantone%20family">flattone</a>, <a class="wiki_link" href="/Jubilismic%20clan#Lemba">lemba</a> and <a class="wiki_link" href="/Jubilismic%20clan#Doublewide">doublewide</a> temperaments. It really comes into its own as a higher-limit temperament, being the smallest equal division which represents the <a class="wiki_link" href="/13-limit">13 odd limit</a> <a class="wiki_link" href="/consistent">consistently</a>. 26edo has a very good approximation of the harmonic seventh (<a class="wiki_link" href="/7_4">7/4</a>).

<h2 id="toc0"><a name="x-Structure"></a> Structure </h2>

<h2 id="toc0"><a name="x-Structure"></a>Structure</h2>

The structure of 26edo is an interesting beast, with various approaches relating it to various rank two temperaments.

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5. It also has a pretty good 17th harmonic and tempers out the comma 459:448, thus three fifths gives a 17:14 and four gives a 21:17; &quot;mushtone&quot;. Mushtone is high in badness, but 26edo does it pretty well (and <a class="wiki_link" href="/33edo">33edo</a> even better). Because 26edo also tempers out 85:84, the septendecimal major and minor thirds are equivalent to their pental counterparts, making mushtone the same as flattone.

<h2 id="toc1"><a name="x-Intervals"></a> Intervals </h2>

<h2 id="toc1"><a name="x-Intervals"></a>Intervals</h2>

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<th>Degrees

</th>

<th>Size in

<th>Size in

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

</th>

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</th>

<th>Solfege

</th>

<th>Interval

Name

</th>

<th>Example

in D

</th>

</tr>

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

</td>

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

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

</td>

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

</td>

<td>do

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

</td>

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

</td>

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

</td>

</tr>

Line 235:

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

</td>

<td style="text-align: ~~right~~;">46.15

<td style="text-align: center;">46.15

</td>

</td>

<td>di

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

</td>

<td style="text-align: center;">A1

</td>

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

</td>

</tr>

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

</td>

<td style="text-align: ~~right~~;">92.31

<td style="text-align: center;">92.31

</td>

</td>

<td>rih

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

</td>

<td style="text-align: center;">d2

</td>

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

</td>

</tr>

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

</td>

<td style="text-align: ~~right~~;">138.46

<td style="text-align: center;">138.46

</td>

</td>

<td>ru

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

</td>

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

</td>

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

</td>

</tr>

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

</td>

<td style="text-align: ~~right~~;">184.62

<td style="text-align: center;">184.62

</td>

</td>

<td>re

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

</td>

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

</td>

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

</td>

</tr>

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

</td>

<td style="text-align: ~~right~~;">230.77

<td style="text-align: center;">230.77

</td>

<td style="text-align: center;"><a class="wiki_link" href="/8_7">8/7</a>, 15/13

</td>

<td>ri

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

</td>

<td style="text-align: center;">A2

</td>

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

</td>

</tr>

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

</td>

<td style="text-align: ~~right~~;">276.92

<td style="text-align: center;">276.92

</td>

</td>

<td>ma

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

</td>

<td style="text-align: center;">d3

</td>

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

</td>

</tr>

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

</td>

<td style="text-align: ~~right~~;">323.08

<td style="text-align: center;">323.08

</td>

</td>

<td>me

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

</td>

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

</td>

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

</td>

</tr>

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

</td>

<td style="text-align: ~~right~~;">369.23

<td style="text-align: center;">369.23

</td>

</td>

<td>muh/mi

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

</td>

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

</td>

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

</td>

</tr>

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

</td>

<td style="text-align: ~~right~~;">415.38

<td style="text-align: center;">415.38

</td>

</td>

<td>maa

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

</td>

<td style="text-align: center;">A3

</td>

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

</td>

</tr>

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

</td>

<td style="text-align: ~~right~~;">461.54

<td style="text-align: center;">461.54

</td>

</td>

<td>fe

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

</td>

<td style="text-align: center;">d4

</td>

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

</td>

</tr>

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

</td>

<td style="text-align: ~~right~~;">507.69

<td style="text-align: center;">507.69

</td>

</td>

<td>fa

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

</td>

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

</td>

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

</td>

</tr>

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

</td>

<td style="text-align: ~~right~~;">553.85

<td style="text-align: center;">553.85

</td>

</td>

<td>fu

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

</td>

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

</td>

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

</td>

</tr>

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

</td>

<td style="text-align: ~~right~~;">600.00

<td style="text-align: center;">600.00

</td>

</td>

<td>fi/se

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

</td>

<td style="text-align: center;">AA4, dd5

</td>

<td style="text-align: center;">Gx, Abb

</td>

</tr>

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

</td>

<td style="text-align: ~~right~~;">646.15

<td style="text-align: center;">646.15

</td>

</td>

<td>su

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

</td>

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

</td>

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

</td>

</tr>

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

</td>

<td style="text-align: ~~right~~;">692.31

<td style="text-align: center;">692.31

</td>

</td>

<td>sol

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

</td>

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

</td>

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

</td>

</tr>

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

</td>

<td style="text-align: ~~right~~;">738.46

<td style="text-align: center;">738.46

</td>

</td>

<td>si

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

</td>

<td style="text-align: center;">A5

</td>

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

</td>

</tr>

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<td style="text-align: center;">17

</td>

<td style="text-align: ~~right~~;">784.62

<td style="text-align: center;">784.62

</td>

</td>

<td>leh

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

</td>

<td style="text-align: center;">d6

</td>

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

</td>

</tr>

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

</td>

<td style="text-align: ~~right~~;">830.77

<td style="text-align: center;">830.77

</td>

</td>

<td>le/lu

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

</td>

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

</td>

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

</td>

</tr>

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

</td>

<td style="text-align: ~~right~~;">876.92

<td style="text-align: center;">876.92

</td>

</td>

<td>la

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

</td>

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

</td>

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

</td>

</tr>

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

</td>

<td style="text-align: ~~right~~;">923.08

<td style="text-align: center;">923.08

</td>

</td>

<td>li

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

</td>

<td style="text-align: center;">A6

</td>

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

</td>

</tr>

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

</td>

<td style="text-align: ~~right~~;">969.23

<td style="text-align: center;">969.23

</td>

</td>

<td>ta

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

</td>

<td style="text-align: center;">d7

</td>

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

</td>

</tr>

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

</td>

<td style="text-align: ~~right~~;">1015.38

<td style="text-align: center;">1015.38

</td>

</td>

<td>te

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

</td>

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

</td>

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

</td>

</tr>

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

</td>

<td style="text-align: ~~right~~;">1061.54

<td style="text-align: center;">1061.54

</td>

</td>

<td>tu/ti

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

</td>

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

</td>

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

</td>

</tr>

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

</td>

<td style="text-align: ~~right~~;">1107.69

<td style="text-align: center;">1107.69

</td>

</td>

<td>to

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

</td>

<td style="text-align: center;">A7

</td>

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

</td>

</tr>

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

</td>

<td style="text-align: ~~right~~;">1153.85

<td style="text-align: center;">1153.85

</td>

</td>

<td>da

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

</td>

<td style="text-align: center;">d8

</td>

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

</td>

</tr>

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

</td>

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

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

</td>

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

</td>

<td>do

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

</td>

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

</td>

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

</td>

</tr>

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*based on treating 26-EDO as a 13-limit temperament; other approaches are possible.

Chords can be named using conventional methods, expanded to include augmented and diminished 2nd, 3rds, 6ths and 7ths. See the <a class="wiki_link" href="/19edo">19edo</a> page for examples.

<h2 id="toc2"><a name="x-Selected just intervals by error"></a>Selected just intervals by error</h2>

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Line 1,412:

Orgone has a minimax tuning which sharpens both 7 and 11 by 1/5 of an orgonisma, or 1.679 cents. This makes the generator g a 77/64 sharp by 2/5 of the orgonisma. From this we may conclude that 24/89 or 31/115 would be reasonable alternatives to the 7/26 generator.

<img src="/file/view/orgone_heptatonic.jpg/155606933/orgone_heptatonic.jpg" alt="orgone_heptatonic.jpg" title="orgone_heptatonic.jpg" />

<img src="/file/view/orgone_heptatonic.jpg/155606933/orgone_heptatonic.jpg" alt="orgone_heptatonic.jpg" title="orgone_heptatonic.jpg" />

@@ 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:xenwolf|xenwolf]] and made on <tt>2016-12-27 08:47:15 UTC</tt>.<br>
+: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-12-28 02:07:56 UTC</tt>.<br>
-: The original revision id was <tt>602835400</tt>.<br>
+: The original revision id was <tt>602864266</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 9: / Line 9: @@
 //26edo// divides the [[octave]] into 26 equal parts of 46.154 [[cent]]s each. It tempers out 81/80 in the [[5-limit]], making it a meantone tuning with a very flat fifth. In the [[7-limit]], it tempers out 50/49, 525/512 and 875/864, and supports [[Meantone family|injera]], [[Meantone family|flattone]], [[Jubilismic clan#Lemba|lemba]] and [[Jubilismic clan#Doublewide|doublewide]] temperaments. It really comes into its own as a higher-limit temperament, being the smallest equal division which represents the [[13-limit|13 odd limit]] [[consistent|consistently]]. 26edo has a very good approximation of the harmonic seventh ([[7_4|7/4]]).
-== Structure ==
+==Structure==
 The structure of 26edo is an interesting beast, with various approaches relating it to various rank two temperaments.
@@ Line 18: / Line 18: @@
 . It also has a pretty good 17th harmonic and tempers out the comma 459:448, thus three fifths gives a 17:14 and four gives a 21:17; "mushtone". Mushtone is high in badness, but 26edo does it pretty well (and [[33edo]] even better). Because 26edo also tempers out 85:84, the septendecimal major and minor thirds are equivalent to their pental counterparts, making mushtone the same as flattone.
-== Intervals ==
+==Intervals==
 ||~ Degrees ||~ Size in
-[[cent|cents]] ||~ Approximate Ratios* ||~ Solfege ||
+[[cent|cents]] ||~ Approximate Ratios* ||~ Solfege ||~ Interval
-||= 0 ||&gt; 0&lt;span style="color: #fff;"&gt;.00&lt;/span&gt; ||= 1/1 || do ||
+Name ||~ Example
-||= 1 ||&gt; 46.15 ||= [[33_32|33/32]], [[49_48|49/48]], [[36_35|36/35]], [[25_24|25/24]] || di ||
+in D ||
-||= 2 ||&gt; 92.31 ||= [[21_20|21/20]], [[22_21|22/21]], [[26_25|26/25]] || rih ||
+||= 0 ||= 0&lt;span style="color: #ffffff;"&gt;.00&lt;/span&gt; ||= 1/1 ||= do ||= P1 ||= D ||
-||= 3 ||&gt; 138.46 ||= [[12_11|12/11]], [[13_12|13/12]], [[14_13|14/13]], [[16_15|16/15]] || ru ||
+||= 1 ||= 46.15 ||= [[33_32|33/32]], [[49_48|49/48]], [[36_35|36/35]], [[25_24|25/24]] ||= di ||= A1 ||= D# ||
-||= 4 ||&gt; 184.62 ||= [[9_8|9/8]], [[10_9|10/9]], [[11_10|11/10]] || re ||
+||= 2 ||= 92.31 ||= [[21_20|21/20]], [[22_21|22/21]], [[26_25|26/25]] ||= rih ||= d2 ||= Ebb ||
-||= 5 ||&gt; 230.77 ||= [[8_7|8/7]], 15/13 || ri ||
+||= 3 ||= 138.46 ||= [[12_11|12/11]], [[13_12|13/12]], [[14_13|14/13]], [[16_15|16/15]] ||= ru ||= m2 ||= Eb ||
-||= 6 ||&gt; 276.92 ||= [[7_6|7/6]], [[13_11|13/11]], [[33_28|33/28]] || ma ||
+||= 4 ||= 184.62 ||= [[9_8|9/8]], [[10_9|10/9]], [[11_10|11/10]] ||= re ||= M2 ||= E ||
-||= 7 ||&gt; 323.08 ||= [[6_5|6/5]] || me ||
+||= 5 ||= 230.77 ||= [[8_7|8/7]], 15/13 ||= ri ||= A2 ||= E# ||
-||= 8 ||&gt; 369.23 ||= [[5_4|5/4]], [[11_9|11/9]], [[16_13|16/13]] || muh/mi ||
+||= 6 ||= 276.92 ||= [[7_6|7/6]], [[13_11|13/11]], [[33_28|33/28]] ||= ma ||= d3 ||= Fb ||
-||= 9 ||&gt; 415.38 ||= [[9_7|9/7]], [[14_11|14/11]], [[33_26|33/26]] || maa ||
+||= 7 ||= 323.08 ||= [[6_5|6/5]] ||= me ||= m3 ||= F ||
-||= 10 ||&gt; 461.54 ||= [[21_16|21/16]], [[13_10|13/10]] || fe ||
+||= 8 ||= 369.23 ||= [[5_4|5/4]], [[11_9|11/9]], [[16_13|16/13]] ||= muh/mi ||= M3 ||= F# ||
-||= 11 ||&gt; 507.69 ||= [[4_3|4/3]] || fa ||
+||= 9 ||= 415.38 ||= [[9_7|9/7]], [[14_11|14/11]], [[33_26|33/26]] ||= maa ||= A3 ||= Fx ||
-||= 12 ||&gt; 553.85 ||= [[11_8|11/8]], [[18_13|18/13]] || fu ||
+||= 10 ||= 461.54 ||= [[21_16|21/16]], [[13_10|13/10]] ||= fe ||= d4 ||= Gb ||
-||= 13 ||&gt; 600&lt;span style="color: #fff;"&gt;.00&lt;/span&gt; ||= [[7_5|7/5]], [[10_7|10/7]] || fi/se ||
+||= 11 ||= 507.69 ||= [[4_3|4/3]] ||= fa ||= P4 ||= G ||
-||= 14 ||&gt; 646.15 ||= [[16_11|16/11]], [[13_9|13/9]] || su ||
+||= 12 ||= 553.85 ||= [[11_8|11/8]], [[18_13|18/13]] ||= fu ||= A4 ||= G# ||
-||= 15 ||&gt; 692.31 ||= [[3_2|3/2]] || sol ||
+||= 13 ||= 600&lt;span style="color: #ffffff;"&gt;.00&lt;/span&gt; ||= [[7_5|7/5]], [[10_7|10/7]] ||= fi/se ||= AA4, dd5 ||= Gx, Abb ||
-||= 16 ||&gt; 738.46 ||= [[32_21|32/21]], [[20_13|20/13]] || si ||
+||= 14 ||= 646.15 ||= [[16_11|16/11]], [[13_9|13/9]] ||= su ||= d5 ||= Ab ||
-||= 17 ||&gt; 784.62 ||= [[11_7|11/7]], [[14_9|14/9]] || leh ||
+||= 15 ||= 692.31 ||= [[3_2|3/2]] ||= sol ||= P5 ||= A ||
-||= 18 ||&gt; 830.77 ||= [[13_8|13/8]], [[8_5|8/5]] || le/lu ||
+||= 16 ||= 738.46 ||= [[32_21|32/21]], [[20_13|20/13]] ||= si ||= A5 ||= A# ||
-||= 19 ||&gt; 876.92 ||= [[5_3|5/3]] || la ||
+||= 17 ||= 784.62 ||= [[11_7|11/7]], [[14_9|14/9]] ||= leh ||= d6 ||= Bbb ||
-||= 20 ||&gt; 923.08 ||= [[12_7|12/7]], [[22_13|22/13]] || li ||
+||= 18 ||= 830.77 ||= [[13_8|13/8]], [[8_5|8/5]] ||= le/lu ||= m6 ||= Bb ||
-||= 21 ||&gt; 969.23 ||= [[7_4|7/4]] || ta ||
+||= 19 ||= 876.92 ||= [[5_3|5/3]] ||= la ||= M6 ||= B ||
-||= 22 ||&gt; 1015.38 ||= [[9_5|9/5]], [[16_9|16/9]], [[20_11|20/11]] || te ||
+||= 20 ||= 923.08 ||= [[12_7|12/7]], [[22_13|22/13]] ||= li ||= A6 ||= B# ||
-||= 23 ||&gt; 1061.54 ||= [[11_6|11/6]], [[13_7|13/7]], [[15_8|15/8]], [[24_13|24/13]] || tu/ti ||
+||= 21 ||= 969.23 ||= [[7_4|7/4]] ||= ta ||= d7 ||= Cb ||
-||= 24 ||&gt; 1107.69 ||= [[21_11|21/11]], [[25_13|25/13]], [[40_21|40/21]] || to ||
+||= 22 ||= 1015.38 ||= [[9_5|9/5]], [[16_9|16/9]], [[20_11|20/11]] ||= te ||= m7 ||= C ||
-||= 25 ||&gt; 1153.85 ||= [[64_33|64/33]], [[96_49|96/49]], [[35_18|35/18]], [[48_25|48/25]] || da ||
+||= 23 ||= 1061.54 ||= [[11_6|11/6]], [[13_7|13/7]], [[15_8|15/8]], [[24_13|24/13]] ||= tu/ti ||= M7 ||= C# ||
-||= 26 ||&gt; 1200&lt;span style="color: #fff;"&gt;.00&lt;/span&gt; ||= 2/1 || do ||
+||= 24 ||= 1107.69 ||= [[21_11|21/11]], [[25_13|25/13]], [[40_21|40/21]] ||= to ||= A7 ||= Cx ||
+||= 25 ||= 1153.85 ||= [[64_33|64/33]], [[96_49|96/49]], [[35_18|35/18]], [[48_25|48/25]] ||= da ||= d8 ||= Db ||
+||= 26 ||= 1200&lt;span style="color: #ffffff;"&gt;.00&lt;/span&gt; ||= 2/1 ||= do ||= P8 ||= D ||
 *based on treating 26-EDO as a 13-limit temperament; other approaches are possible.
+Chords can be named using conventional methods, expanded to include augmented and diminished 2nd, 3rds, 6ths and 7ths. See the [[19edo]] page for examples.
 ==Selected just intervals by error==
@@ Line 185: / Line 189: @@
 [[http://micro.soonlabel.com/26edo/20161224_26edo_wing.mp3|Morpheous Wing in 26 edo]] by [[Chris Vaisvil]]</pre></div>
 <h4>Original HTML content:</h4>
-<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;26edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:21:&amp;lt;img id=&amp;quot;wikitext@@toc@@normal&amp;quot; class=&amp;quot;WikiMedia WikiMediaToc&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/normal?w=225&amp;amp;h=100&amp;quot;/&amp;gt; --&gt;&lt;div id="toc"&gt;&lt;h1 class="nopad"&gt;Table of Contents&lt;/h1&gt;&lt;!-- ws:end:WikiTextTocRule:21 --&gt;&lt;!-- ws:start:WikiTextTocRule:22: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#x-Structure"&gt; Structure &lt;/a&gt;&lt;/div&gt;
+<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;26edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:21:&amp;lt;img id=&amp;quot;wikitext@@toc@@normal&amp;quot; class=&amp;quot;WikiMedia WikiMediaToc&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/normal?w=225&amp;amp;h=100&amp;quot;/&amp;gt; --&gt;&lt;div id="toc"&gt;&lt;h1 class="nopad"&gt;Table of Contents&lt;/h1&gt;&lt;!-- ws:end:WikiTextTocRule:21 --&gt;&lt;!-- ws:start:WikiTextTocRule:22: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#x-Structure"&gt;Structure&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:22 --&gt;&lt;!-- ws:start:WikiTextTocRule:23: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#x-Intervals"&gt; Intervals &lt;/a&gt;&lt;/div&gt;
+&lt;!-- ws:end:WikiTextTocRule:22 --&gt;&lt;!-- ws:start:WikiTextTocRule:23: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#x-Intervals"&gt;Intervals&lt;/a&gt;&lt;/div&gt;
 &lt;!-- ws:end:WikiTextTocRule:23 --&gt;&lt;!-- ws:start:WikiTextTocRule:24: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#x-Selected just intervals by error"&gt;Selected just intervals by error&lt;/a&gt;&lt;/div&gt;
 &lt;!-- ws:end:WikiTextTocRule:24 --&gt;&lt;!-- ws:start:WikiTextTocRule:25: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Rank two temperaments"&gt;Rank two temperaments&lt;/a&gt;&lt;/div&gt;
@@ Line 198: / Line 202: @@
 &lt;!-- ws:end:WikiTextTocRule:32 --&gt;&lt;em&gt;26edo&lt;/em&gt; divides the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt; into 26 equal parts of 46.154 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s each. It tempers out 81/80 in the &lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt;, making it a meantone tuning with a very flat fifth. In the &lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt;, it tempers out 50/49, 525/512 and 875/864, and supports &lt;a class="wiki_link" href="/Meantone%20family"&gt;injera&lt;/a&gt;, &lt;a class="wiki_link" href="/Meantone%20family"&gt;flattone&lt;/a&gt;, &lt;a class="wiki_link" href="/Jubilismic%20clan#Lemba"&gt;lemba&lt;/a&gt; and &lt;a class="wiki_link" href="/Jubilismic%20clan#Doublewide"&gt;doublewide&lt;/a&gt; temperaments. It really comes into its own as a higher-limit temperament, being the smallest equal division which represents the &lt;a class="wiki_link" href="/13-limit"&gt;13 odd limit&lt;/a&gt; &lt;a class="wiki_link" href="/consistent"&gt;consistently&lt;/a&gt;. 26edo has a very good approximation of the harmonic seventh (&lt;a class="wiki_link" href="/7_4"&gt;7/4&lt;/a&gt;).&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:1:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Structure"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:1 --&gt; Structure &lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:1:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Structure"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:1 --&gt;Structure&lt;/h2&gt;
   &lt;br /&gt;
 The structure of 26edo is an interesting beast, with various approaches relating it to various rank two temperaments.&lt;br /&gt;
@@ Line 207: / Line 211: @@
 . It also has a pretty good 17th harmonic and tempers out the comma 459:448, thus three fifths gives a 17:14 and four gives a 21:17; &amp;quot;mushtone&amp;quot;. Mushtone is high in badness, but 26edo does it pretty well (and &lt;a class="wiki_link" href="/33edo"&gt;33edo&lt;/a&gt; even better). Because 26edo also tempers out 85:84, the septendecimal major and minor thirds are equivalent to their pental counterparts, making mushtone the same as flattone.&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:3:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:3 --&gt; Intervals &lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:3:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:3 --&gt;Intervals&lt;/h2&gt;
@@ Line 214: / Line 218: @@
          &lt;th&gt;Degrees&lt;br /&gt;
 &lt;/th&gt;
-         &lt;th&gt;Size in &lt;br /&gt;
+         &lt;th&gt;Size in&lt;br /&gt;
 &lt;a class="wiki_link" href="/cent"&gt;cents&lt;/a&gt;&lt;br /&gt;
 &lt;/th&gt;
@@ Line 220: / Line 224: @@
 &lt;/th&gt;
          &lt;th&gt;Solfege&lt;br /&gt;
+&lt;/th&gt;
+        &lt;th&gt;Interval&lt;br /&gt;
+Name&lt;br /&gt;
+&lt;/th&gt;
+        &lt;th&gt;Example&lt;br /&gt;
+in D&lt;br /&gt;
 &lt;/th&gt;
      &lt;/tr&gt;
@@ Line 225: / Line 235: @@
          &lt;td style="text-align: center;"&gt;0&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: right;"&gt;0&lt;span style="color: #fff;"&gt;.00&lt;/span&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;0&lt;span style="color: #ffffff;"&gt;.00&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;do&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;do&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;D&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 235: / Line 249: @@
          &lt;td style="text-align: center;"&gt;1&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: right;"&gt;46.15&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;46.15&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/33_32"&gt;33/32&lt;/a&gt;, &lt;a class="wiki_link" href="/49_48"&gt;49/48&lt;/a&gt;, &lt;a class="wiki_link" href="/36_35"&gt;36/35&lt;/a&gt;, &lt;a class="wiki_link" href="/25_24"&gt;25/24&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;di&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;di&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;A1&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;D#&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 245: / Line 263: @@
          &lt;td style="text-align: center;"&gt;2&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: right;"&gt;92.31&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;92.31&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/21_20"&gt;21/20&lt;/a&gt;, &lt;a class="wiki_link" href="/22_21"&gt;22/21&lt;/a&gt;, &lt;a class="wiki_link" href="/26_25"&gt;26/25&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;rih&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;rih&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;d2&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;Ebb&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 255: / Line 277: @@
          &lt;td style="text-align: center;"&gt;3&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: right;"&gt;138.46&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;138.46&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/12_11"&gt;12/11&lt;/a&gt;, &lt;a class="wiki_link" href="/13_12"&gt;13/12&lt;/a&gt;, &lt;a class="wiki_link" href="/14_13"&gt;14/13&lt;/a&gt;, &lt;a class="wiki_link" href="/16_15"&gt;16/15&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;ru&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;ru&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;Eb&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 265: / Line 291: @@
          &lt;td style="text-align: center;"&gt;4&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: right;"&gt;184.62&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;184.62&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/9_8"&gt;9/8&lt;/a&gt;, &lt;a class="wiki_link" href="/10_9"&gt;10/9&lt;/a&gt;, &lt;a class="wiki_link" href="/11_10"&gt;11/10&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;re&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;re&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;E&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 275: / Line 305: @@
          &lt;td style="text-align: center;"&gt;5&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: right;"&gt;230.77&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;230.77&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/8_7"&gt;8/7&lt;/a&gt;, 15/13&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;ri&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;ri&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;A2&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;E#&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 285: / Line 319: @@
          &lt;td style="text-align: center;"&gt;6&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: right;"&gt;276.92&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;276.92&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/7_6"&gt;7/6&lt;/a&gt;, &lt;a class="wiki_link" href="/13_11"&gt;13/11&lt;/a&gt;, &lt;a class="wiki_link" href="/33_28"&gt;33/28&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;ma&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;ma&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;d3&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;Fb&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 295: / Line 333: @@
          &lt;td style="text-align: center;"&gt;7&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: right;"&gt;323.08&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;323.08&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/6_5"&gt;6/5&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;me&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;me&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;F&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 305: / Line 347: @@
          &lt;td style="text-align: center;"&gt;8&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: right;"&gt;369.23&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;369.23&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/5_4"&gt;5/4&lt;/a&gt;, &lt;a class="wiki_link" href="/11_9"&gt;11/9&lt;/a&gt;, &lt;a class="wiki_link" href="/16_13"&gt;16/13&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;muh/mi&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;muh/mi&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;F#&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 315: / Line 361: @@
          &lt;td style="text-align: center;"&gt;9&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: right;"&gt;415.38&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;415.38&lt;br /&gt;
 &lt;/td&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="/33_26"&gt;33/26&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;maa&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;maa&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;A3&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;Fx&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 325: / Line 375: @@
          &lt;td style="text-align: center;"&gt;10&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: right;"&gt;461.54&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;461.54&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/21_16"&gt;21/16&lt;/a&gt;, &lt;a class="wiki_link" href="/13_10"&gt;13/10&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;fe&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;fe&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;d4&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;Gb&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 335: / Line 389: @@
          &lt;td style="text-align: center;"&gt;11&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: right;"&gt;507.69&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;507.69&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/4_3"&gt;4/3&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;fa&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;fa&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;P4&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;G&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 345: / Line 403: @@
          &lt;td style="text-align: center;"&gt;12&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: right;"&gt;553.85&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;553.85&lt;br /&gt;
 &lt;/td&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="/18_13"&gt;18/13&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;fu&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;fu&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;A4&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;G#&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 355: / Line 417: @@
          &lt;td style="text-align: center;"&gt;13&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: right;"&gt;600&lt;span style="color: #fff;"&gt;.00&lt;/span&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;600&lt;span style="color: #ffffff;"&gt;.00&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/7_5"&gt;7/5&lt;/a&gt;, &lt;a class="wiki_link" href="/10_7"&gt;10/7&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;fi/se&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;fi/se&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;AA4, dd5&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;Gx, Abb&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 365: / Line 431: @@
          &lt;td style="text-align: center;"&gt;14&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: right;"&gt;646.15&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;646.15&lt;br /&gt;
 &lt;/td&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="/13_9"&gt;13/9&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;su&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;su&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;d5&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;Ab&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 375: / Line 445: @@
          &lt;td style="text-align: center;"&gt;15&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: right;"&gt;692.31&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;692.31&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;sol&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;sol&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;P5&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;A&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 385: / Line 459: @@
          &lt;td style="text-align: center;"&gt;16&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: right;"&gt;738.46&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;738.46&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/32_21"&gt;32/21&lt;/a&gt;, &lt;a class="wiki_link" href="/20_13"&gt;20/13&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;si&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;si&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;A5&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;A#&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 395: / Line 473: @@
          &lt;td style="text-align: center;"&gt;17&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: right;"&gt;784.62&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;784.62&lt;br /&gt;
 &lt;/td&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;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;leh&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;leh&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;d6&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;Bbb&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 405: / Line 487: @@
          &lt;td style="text-align: center;"&gt;18&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: right;"&gt;830.77&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;830.77&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/13_8"&gt;13/8&lt;/a&gt;, &lt;a class="wiki_link" href="/8_5"&gt;8/5&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;le/lu&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;le/lu&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;Bb&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 415: / Line 501: @@
          &lt;td style="text-align: center;"&gt;19&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: right;"&gt;876.92&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;876.92&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/5_3"&gt;5/3&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;la&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;la&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;B&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 425: / Line 515: @@
          &lt;td style="text-align: center;"&gt;20&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: right;"&gt;923.08&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;923.08&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/12_7"&gt;12/7&lt;/a&gt;, &lt;a class="wiki_link" href="/22_13"&gt;22/13&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;li&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;li&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;A6&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;B#&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 435: / Line 529: @@
          &lt;td style="text-align: center;"&gt;21&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: right;"&gt;969.23&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;969.23&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/7_4"&gt;7/4&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;ta&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;ta&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;d7&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;Cb&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 445: / Line 543: @@
          &lt;td style="text-align: center;"&gt;22&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: right;"&gt;1015.38&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;1015.38&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/9_5"&gt;9/5&lt;/a&gt;, &lt;a class="wiki_link" href="/16_9"&gt;16/9&lt;/a&gt;, &lt;a class="wiki_link" href="/20_11"&gt;20/11&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;te&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;te&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;C&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 455: / Line 557: @@
          &lt;td style="text-align: center;"&gt;23&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: right;"&gt;1061.54&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;1061.54&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/11_6"&gt;11/6&lt;/a&gt;, &lt;a class="wiki_link" href="/13_7"&gt;13/7&lt;/a&gt;, &lt;a class="wiki_link" href="/15_8"&gt;15/8&lt;/a&gt;, &lt;a class="wiki_link" href="/24_13"&gt;24/13&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;tu/ti&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;tu/ti&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;C#&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 465: / Line 571: @@
          &lt;td style="text-align: center;"&gt;24&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: right;"&gt;1107.69&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;1107.69&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/21_11"&gt;21/11&lt;/a&gt;, &lt;a class="wiki_link" href="/25_13"&gt;25/13&lt;/a&gt;, &lt;a class="wiki_link" href="/40_21"&gt;40/21&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;to&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;to&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;A7&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;Cx&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 475: / Line 585: @@
          &lt;td style="text-align: center;"&gt;25&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: right;"&gt;1153.85&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;1153.85&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/64_33"&gt;64/33&lt;/a&gt;, &lt;a class="wiki_link" href="/96_49"&gt;96/49&lt;/a&gt;, &lt;a class="wiki_link" href="/35_18"&gt;35/18&lt;/a&gt;, &lt;a class="wiki_link" href="/48_25"&gt;48/25&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;da&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;da&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;d8&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;Db&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 485: / Line 599: @@
          &lt;td style="text-align: center;"&gt;26&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: right;"&gt;1200&lt;span style="color: #fff;"&gt;.00&lt;/span&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;1200&lt;span style="color: #ffffff;"&gt;.00&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;2/1&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;do&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;do&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;D&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 495: / Line 613: @@
 *based on treating 26-EDO as a 13-limit temperament; other approaches are possible.&lt;br /&gt;
+&lt;br /&gt;
+Chords can be named using conventional methods, expanded to include augmented and diminished 2nd, 3rds, 6ths and 7ths. See the &lt;a class="wiki_link" href="/19edo"&gt;19edo&lt;/a&gt; page for examples.&lt;br /&gt;
 &lt;br /&gt;
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@@ Line 1,292: / Line 1,412: @@
 Orgone has a minimax tuning which sharpens both 7 and 11 by 1/5 of an orgonisma, or 1.679 cents. This makes the generator g a 77/64 sharp by 2/5 of the orgonisma. From this we may conclude that 24/89 or 31/115 would be reasonable alternatives to the 7/26 generator.&lt;br /&gt;
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