41edo: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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

: This revision was by author [[User:~~JosephRuhf~~|~~JosephRuhf~~]] and made on <tt>2016-12-~~06 08~~:45:22 UTC</tt>.

: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-12-28 03:59:20 UTC</tt>.

: The original revision id was <tt>~~601504166~~</tt>.

: The original revision id was <tt>602865326</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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=Commas=

41 EDO tempers out the following commas using its patent val, < [[tel:41 65 95 115 142|41 65 95 115 142]]/1 [[tel:152 168 174 185 199|152 168 174 185 199]]/1 203 |.

41 EDO tempers out the following commas using its patent val, < [[tel/41 65 95 115 142|41 65 95 115 142]]/1 [[tel/152 168 174 185 199|152 168 174 185 199]]/1 203 |.

||~ Name ||~ Monzo ||~ Ratio ||~ Cents ||

|| odiheim || | -1 2 -4 5 -2 > ||= || 0.15 ||

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=Intervals=

||~ ~~degrees of 41edo~~ ||~ cents value ||~ Approximate Ratios in the [[11-limit]] ||~ Proposed names ||~ Andrew's solfege syllable ||~ generator for ||~ some MOS and MODMOS Scales available ||

||~ step ||~ cents value ||~ Approximate

|| 0 || 0.00 || [[1_1|1/1]] || Unison || do || || ||

Ratios in the [[11-limit]] ||~ [[xenharmonic/Ups and Downs Notation|ups and]]

|| 1 || 29.27 || [[81_80|81/80]] || Red unison || di || || ||

[[xenharmonic/Ups and Downs Notation|downs]]

|| 2 || 58.54 || [[25_24|25/24]], [[28_27|28/27]], [[33_32|33/32]] || Blue minor second || ro || [[Hemimiracle]] || ||

[[xenharmonic/Ups and Downs Notation|notation]] ||~ Proposed names ||~ Andrew's

|| 3 || 87.80 || [[21_20|21/20]], [[22_21|22/21]] || Gray minor second || rih || 88cET (approx) / [[octacot]] || ||

solfege

|| 4 || 117.07 || [[16_15|16/15]], [[15_14|15/14]] || Red minor second || ra || [[Miracle]] || ||

syllable ||~ generator for ||~ some MOS and MODMOS Scales available ||

|| 5 || 146.34 || [[12_11|12/11]] || Neutral second || ru || [[Bohlen-Pierce]]/[[bohpier]] || ||

||= 0 ||= 0.00 ||= [[1_1|1/1]] ||= P1 || Unison || do || || ||

|| 6 || 175.61 || [[10_9|10/9]], [[11_10|11/10]] || Blue major second || reh || [[Tetracot]]/[[bunya]]/[[monkey]] || 13-tone MOS: 1 5 1 5 1 5 1 5 5 1 5 1 5 ||

||= 1 ||= 29.27 ||= [[81_80|81/80]] ||= ^1 || Red unison || di || || ||

|| 7 || 204.88 || [[9_8|9/8]] || Gray major second || re || [[Baldy]] || 11-tone MOS: 6 1 6 6 1 6 1 6 1 6 1 ||

||= 2 ||= 58.54 ||= [[25_24|25/24]], [[28_27|28/27]],

|| 8 || 234.15 || [[8_7|8/7]] || Red major second || ri || [[Rodan]]/[[guiron]] || 11-tone MOS: 7 1 7 1 7 1 7 1 1 7 1 ||

[[33_32|33/32]] ||= vm2 || Blue minor second || ro || [[Hemimiracle]] || ||

|| 9 || 263.41 || [[7_6|7/6]], [[32_25|32/25]] || Blue minor third || ma || [[Septimin]] || 9-tone MOS: 5 4 5 5 4 5 4 5 4 ||

||= 3 ||= 87.80 ||= [[21_20|21/20]], [[22_21|22/21]] ||= m2 || Gray minor second || rih || 88cET (approx),

|| 10 || 292.68 || [[32_27|32/27]] || Gray minor third || meh || [[Quasitemp]] || ||

[[octacot]] || ||

|| 11 || 321.95 || [[6_5|6/5]] || Red minor third || me || [[Superkleismic]] || 11-tone MOS: 5 3 5 3 3 5 3 3 5 3 3 ||

||= 4 ||= 117.07 ||= [[16_15|16/15]], [[15_14|15/14]] ||= ^m2 || Red minor second || ra || [[Miracle]] || ||

|| 12 || 351.22 || [[11_9|11/9]],[[27_22|27/22]] || Neutral third || mu || [[Hemififths]]/[[karadeniz]] || 10-tone MOS: 5 2 5 5 2 5 5 5 2 5 ||

||= 5 ||= 146.34 ||= [[12_11|12/11]] ||= ~2 || Neutral second || ru || [[Bohlen-Pierce]]/[[bohpier]] || ||

|| 13 || 380.49 || [[5_4|5/4]] || Blue major third || mi || [[Magic]]/[[witchcraft]] || 10-tone MOS: 2 9 2 2 9 2 2 9 2 2 ||

||= 6 ||= 175.61 ||= [[10_9|10/9]], [[11_10|11/10]] ||= vM2 || Blue major second || reh || [[Tetracot]]/[[bunya]]/[[monkey]] || 13-tone MOS: 1 5 1 5 1 5 1 5 5 1 5 1 5 ||

|| 14 || 409.76 || [[14_11|14/11]], [[81_64|81/64]] || Gray major third || maa || [[Hocus]] || ||

||= 7 ||= 204.88 ||= [[9_8|9/8]] ||= M2 || Gray major second || re || [[Baldy]] || 11-tone MOS: 6 1 6 6 1 6 1 6 1 6 1 ||

|| 15 || 439.02 || [[9_7|9/7]] || Red major third || mo || || 11-tone MOS: 4 3 4 4 4 3 4 4 3 4 4 ||

||= 8 ||= 234.15 ||= [[8_7|8/7]] ||= ^M2 || Red major second || ri || [[Rodan]]/[[guiron]] || 11-tone MOS: 7 1 7 1 7 1 7 1 1 7 1 ||

|| 16 || 468.29 || [[21_16|21/16]] || Blue fourth || fe || [[Barbad]] || ||

||= 9 ||= 263.41 ||= [[7_6|7/6]], [[32_25|32/25]] ||= vm3 || Blue minor third || ma || [[Septimin]] || 9-tone MOS: 5 4 5 5 4 5 4 5 4 ||

|| 17 || 497.56 || [[4_3|4/3]] || Perfect fourth || fa || [[Schismatic]] ([[helmholtz]], [[Garibaldi temperament|garibaldi]], [[cassandra]]) || ||

||= 10 ||= 292.68 ||= [[32_27|32/27]] ||= m3 || Gray minor third || meh || [[Quasitemp]] || ||

|| 18 || 526.83 || [[15_11|15/11]], [[27_20|27/20]] || Red fourth || fih || [[Trismegistus]] || 9-tone MOS: 5 5 3 5 5 5 5 3 5 ||

||= 11 ||= 321.95 ||= [[6_5|6/5]] ||= ^m3 || Red minor third || me || [[Superkleismic]] || 11-tone MOS: 5 3 5 3 3 5 3 3 5 3 3 ||

|| 19 || 556.10 || [[11_8|11/8]] || Blue minor tritone || fu || || ||

||= 12 ||= 351.22 ||= [[11_9|11/9]],[[27_22|27/22]] ||= ~3 || Neutral third || mu || [[Hemififths]]/[[karadeniz]] || 10-tone MOS: 5 2 5 5 2 5 5 5 2 5 ||

|| 20 || 585.37 || [[7_5|7/5]] || Minor tritone / diminished fifth || fi || [[Pluto]] || ||

||= 13 ||= 380.49 ||= [[5_4|5/4]] ||= vM3 || Blue major third || mi || [[Magic]]/[[witchcraft]] || 10-tone MOS: 2 9 2 2 9 2 2 9 2 2 ||

|| 21 || 614.63 || [[10_7|10/7]] || Major tritone / augmented fourth || se || || ||

||= 14 ||= 409.76 ||= [[14_11|14/11]], [[81_64|81/64]] ||= M3 || Gray major third || maa || [[Hocus]] || ||

|| 22 || 643.90 || [[16_11|16/11]] || Red major tritone || su || || ||

||= 15 ||= 439.02 ||= [[9_7|9/7]] ||= ^M3 || Red major third || mo || || 11-tone MOS: 4 3 4 4 4 3 4 4 3 4 4 ||

|| 23 || 673.17 || [[22_15|22/15]], [[40_27|40/27]] || Blue fifth || sih || || ||

||= 16 ||= 468.29 ||= [[21_16|21/16]] ||= v4 || Blue fourth || fe || [[Barbad]] || ||

|| 24 || 702.44 || [[3_2|3/2]] || Perfect fifth || sol || || ||

||= 17 ||= 497.56 ||= [[4_3|4/3]] ||= P4 || Perfect fourth || fa || [[Schismatic]] ([[helmholtz]], [[Garibaldi temperament|garibaldi]], [[cassandra]]) || ||

|| 25 || 731.71 || [[32_21|32/21]] || Red fifth || si || || ||

||= 18 ||= 526.83 ||= [[15_11|15/11]], [[27_20|27/20]] ||= ^4 || Red fourth || fih || [[Trismegistus]] || 9-tone MOS: 5 5 3 5 5 5 5 3 5 ||

|| 26 || 760.98 || [[14_9|14/9]], [[25_16|25/16]] || Blue minor sixth || lo || || ||

||= 19 ||= 556.10 ||= [[11_8|11/8]] ||= ^^4 || Blue minor tritone || fu || || ||

|| 27 || 790.24 || [[11_7|11/7]], [[128_81|128/81]] || Gray minor sixth || leh || || ||

||= 20 ||= 585.37 ||= [[7_5|7/5]] ||= vA4, d5 || Minor tritone / diminished fifth || fi || [[Pluto]] || ||

|| 28 || 819.51 || [[8_5|8/5]] || Red minor sixth || le || || ||

||= 21 ||= 614.63 ||= [[10_7|10/7]] ||= A4, ^d5 || Major tritone / augmented fourth || se || || ||

|| 29 || 848.78 || [[18_11|18/11]], [[44_27|44/27]] || Neutral sixth || lu || || ||

||= 22 ||= 643.90 ||= [[16_11|16/11]] ||= vv5 || Red major tritone || su || || ||

|| 30 || 878.05 || [[5_3|5/3]] || Blue major sixth || la || || ||

||= 23 ||= 673.17 ||= [[22_15|22/15]], [[40_27|40/27]] ||= v5 || Blue fifth || sih || || ||

|| 31 || 907.32 || [[27_16|27/16]] || Gray major sixth || laa || || ||

||= 24 ||= 702.44 ||= [[3_2|3/2]] ||= P5 || Perfect fifth || sol || || ||

|| 32 || 936.59 || [[12_7|12/7]] || Red major sixth || li || || ||

||= 25 ||= 731.71 ||= [[32_21|32/21]] ||= ^5 || Red fifth || si || || ||

|| 33 || 965.85 || [[7_4|7/4]] || Blue minor seventh || ta || || ||

||= 26 ||= 760.98 ||= [[14_9|14/9]], [[25_16|25/16]] ||= vm6 || Blue minor sixth || lo || || ||

|| 34 || 995.12 || [[16_9|16/9]] || Gray minor seventh || teh || || ||

||= 27 ||= 790.24 ||= [[11_7|11/7]], [[128_81|128/81]] ||= m6 || Gray minor sixth || leh || || ||

|| 35 || 1024.39 || [[9_5|9/5]], [[20_11|20/11]] || Red minor seventh || te || || ||

||= 28 ||= 819.51 ||= [[8_5|8/5]] ||= ^m6 || Red minor sixth || le || || ||

|| 36 || 1053.66 || [[11_6|11/6]] || Neutral seventh || tu || || ||

||= 29 ||= 848.78 ||= [[18_11|18/11]], [[44_27|44/27]] ||= ~6 || Neutral sixth || lu || || ||

|| 37 || 1082.93 || [[15_8|15/8]] || Blue major seventh || ti || || ||

||= 30 ||= 878.05 ||= [[5_3|5/3]] ||= vM6 || Blue major sixth || la || || ||

|| 38 || 1112.20 || [[40_21|40/21]], [[21_11|21/11]] || Gray major seventh || taa || || ||

||= 31 ||= 907.32 ||= [[27_16|27/16]] ||= M6 || Gray major sixth || laa || || ||

|| 39 || 1141.46 || [[48_25|48/25]], [[27_14|27/14]], [[64_33|64/33]] || Red major seventh || to || || ||

||= 32 ||= 936.59 ||= [[12_7|12/7]] ||= ^M6 || Red major sixth || li || || ||

|| 40 || 1170.73 || [[160_81|160/81]] || Blue octave || da || || ||

||= 33 ||= 965.85 ||= [[7_4|7/4]] ||= vm7 || Blue minor seventh || ta || || ||

||= 34 ||= 995.12 ||= [[16_9|16/9]] ||= m7 || Gray minor seventh || teh || || ||

||= 35 ||= 1024.39 ||= [[9_5|9/5]], [[20_11|20/11]] ||= ^m7 || Red minor seventh || te || || ||

||= 36 ||= 1053.66 ||= [[11_6|11/6]] ||= ~7 || Neutral seventh || tu || || ||

||= 37 ||= 1082.93 ||= [[15_8|15/8]] ||= vM7 || Blue major seventh || ti || || ||

||= 38 ||= 1112.20 ||= [[40_21|40/21]], [[21_11|21/11]] ||= M7 || Gray major seventh || taa || || ||

||= 39 ||= 1141.46 ||= [[48_25|48/25]], [[27_14|27/14]],

[[64_33|64/33]] ||= ^M7 || Red major seventh || to || || ||

||= 40 ||= 1170.73 ||= [[160_81|160/81]] ||= v8 || Blue octave || da || || ||

||= 41 ||= 1200 ||= 2/1 ||= P8 || || do || || ||

41edo chord names using ups and downs:

0-10-20 = D F Ab = Ddim = "D dim"

0-10-21 = D F Ab^ = Ddim(^5) = "D dim up-five"

0-10-22 = D F Avv = Dm(vv5) = "D minor double-down five", or possibly Ddim(^^5)

0-10-23 = D F Av = Dm(v5) = "D minor down-five"

0-10-24 = D F A = Dm = "D minor"

0-11-24 = D F^ A = D.^m = "D upminor"

0-12-24 = D F^^ A = D.~ = "D mid"

0-13-24 = D F#v A = D.v = "D downmajor" or "D dot down"

0-14-24 = D F# A = D = "D" or "D major"

0-14-25 = D F# A^ = D(^5) = "D up-five"

0-14-26 = D F# A^^ = D(^^5) = "D double-up-five", or possibly Daug(vv5)

0-14-27 = D F# A#v = Daug(v5) = "D aug down-five"

0-14-28 = D F# A# is Daug = "D aug"

etc.

For a more complete list, see [[xenharmonic/Ups and Downs Notation#Chord%20names%20in%20other%20EDOs|Ups and Downs Notation - Chord names in other EDOs]].

==Selected just intervals by error==

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==Notation==

A red-note/blue-note system, similar to the one proposed for [[36edo]], is one option for notating 41edo. We have the "white key" albitonic notes A-G (7 in total), the "black key" sharps and flats (10 in total), a "red" and "blue" version of each albitonic note (14 in total), a "red" (dark red?) version of each sharp and a "blue" (dark blue?) version of each flat (10 in total), adding up to 41. This would result in quite a colorful keyboard! Note that there are no red flats or blue sharps. Using this nomenclature the notes are:

A red-note/blue-note system, similar to the one proposed for [[36edo]], is one option for notating 41edo. (This is separate from and not compatible with Kite's [[xenharmonic/Kite's color notation|color notation]].) We have the "white key" albitonic notes A-G (7 in total), the "black key" sharps and flats (10 in total), a "red" and "blue" version of each albitonic note (14 in total), a "red" (dark red?) version of each sharp and a "blue" (dark blue?) version of each flat (10 in total), adding up to 41. This would result in quite a colorful keyboard! Note that there are no red flats or blue sharps. Using this nomenclature the notes are:

A, red A, blue Bb, Bb, A#, red A#, blue B, B, red B, blue C, C, red C, blue Db, Db, C#, red C#, blue D, D, red D, blue Eb, Eb, D#, red D#, blue E, E, red E, blue F, F, red F, blue Gb, Gb, F#, red F#, blue G, G, red G, blue Ab, Ab, G#, red G#, blue A, A.

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The step size of 41edo is small enough that the smallest interval (the "red/blue unison", seventh-tone, comma, diesis or whatever you want to call it) is actually fairly consonant with most timbres; it resembles a "noticeably out of tune unison" rather than a minor second, and has its own distinct character and appeal.

~~41edo can be notated with [[Ups and Downs Notation|ups and downs]] like so:~~

~~Black and white keys: C * * * * * * D * * * * * * E * * F * * * * * * G * * * * * * A * * * * * * B * * C~~

~~P1 ^P1 vm2 m2 ^m2 ~2 vM2 M2 ^M2 vm3 m3 ^m3 ~3 vM3 M3 ^M3 vP4 P4 ^P4 ^^P4 d5 ^d5 vvP5 vP5 P5 etc.~~

~~In C: C C^ Dbv Db Db^ D D^ Ebv Eb Eb^ E E^ Fv F F^ F# Gb Gb^ G etc.~~

~~41edo chord names:~~

~~0-10-20 = D F Ab = Ddim = "D dim"~~

~~0-10-21 = D F Ab^ = Ddim(^5) = "D dim up-five"~~

~~0-10-22 = D F Avv = Dm(vv5) = "D minor double-down five", or possibly Ddim(^^5)~~

~~0-10-23 = D F Av = Dm(v5) = "D minor down-five"~~

~~0-10-24 = D F A = Dm = "D minor"~~

~~0-11-24 = D F^ A = D.^m = "D upminor"~~

~~0-12-24 = D F^^ A = D.~ = "D mid"~~

~~0-13-24 = D F#v A = D.v = "D downmajor" or "D dot down"~~

~~0-14-24 = D F# A = D = "D" or "D major"~~

~~0-14-25 = D F# A^ = D(^5) = "D up-five"~~

~~0-14-26 = D F# A^^ = D(^^5) = "D double-up-five", or possibly Daug(vv5)~~

~~0-14-27 = D F# A#v = Daug(v5) = "D aug down-five"~~

~~0-14-28 = D F# A# is Daug = "D aug"~~

~~etc.~~

=Music=

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<tr>

<th>~~degrees of 41edo~~

<th>step

</th>

<th>cents value

</th>

<th>Approximate Ratios in the <a class="wiki_link" href="/11-limit">11-limit</a>

<th>Approximate

Ratios in the <a class="wiki_link" href="/11-limit">11-limit</a>

</th>

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

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

</th>

<th>Proposed names

</th>

<th>Andrew's solfege syllable

<th>Andrew's

solfege

syllable

</th>

<th>generator for

Line 921:

Line 935:

</tr>

<tr>

<td>0

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

</td>

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

</td>

<td>~~0.00~~

</td>

<td~~><a class~~="~~wiki_link" href="/1_1~~">~~1/1</a>~~

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

</td>

<td>Unison

Line 937:

Line 953:

</tr>

<tr>

<td>1

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

</td>

<td>29.27

<td style="text-align: center;">29.27

</td>

</td>

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

</td>

<td>Red unison

Line 953:

Line 971:

</tr>

<tr>

<td>2

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

</td>

<td>58.54

<td style="text-align: center;">58.54

</td>

<td style="text-align: center;"><a class="wiki_link" href="/25_24">25/24</a>, <a class="wiki_link" href="/28_27">28/27</a>,

</td>

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

</td>

<td>Blue minor second

Line 969:

Line 990:

</tr>

<tr>

<td>3

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

</td>

<td>87.80

<td style="text-align: center;">87.80

</td>

</td>

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

</td>

<td>Gray minor second

Line 979:

Line 1,002:

<td>rih

</td>

<td>88cET (approx) / <a class="wiki_link" href="/octacot">octacot</a>

<td>88cET (approx),

<a class="wiki_link" href="/octacot">octacot</a>

</td>

<td>

Line 985:

Line 1,009:

</tr>

<tr>

<td>4

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

</td>

<td>117.07

<td style="text-align: center;">117.07

</td>

</td>

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

</td>

<td>Red minor second

Line 1,001:

Line 1,027:

</tr>

<tr>

<td>5

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

</td>

<td style="text-align: center;">146.34

</td>

<td>~~146.34~~

</td>

<td~~><a class~~="~~wiki_link" href="/12_11~~">~~12/11</a>~~

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

</td>

<td>Neutral second

Line 1,017:

Line 1,045:

</tr>

<tr>

<td>6

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

</td>

<td style="text-align: center;">175.61

</td>

<td>~~175.61~~

</td>

<td~~><a class="wiki_link" href~~="~~/10_9">10/9</a>, &lt~~;~~a class="wiki_link" href="/11_10~~">~~11/10</a>~~

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

</td>

<td>Blue major second

Line 1,033:

Line 1,063:

</tr>

<tr>

<td>7

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

</td>

<td style="text-align: center;">204.88

</td>

<td>~~204.88~~

</td>

<td~~><a class~~="~~wiki_link" href="/9_8~~">~~9/8</a>~~

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

</td>

<td>Gray major second

Line 1,049:

Line 1,081:

</tr>

<tr>

<td>8

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

</td>

<td style="text-align: center;">234.15

</td>

<td>~~234.15~~

</td>

<td~~><a class~~="~~wiki_link" href="/8_7~~">~~8/7</a>~~

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

</td>

<td>Red major second

Line 1,065:

Line 1,099:

</tr>

<tr>

<td>9

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

</td>

<td style="text-align: center;">263.41

</td>

<td>~~263.41~~

</td>

<td~~><a class="wiki_link" href~~="~~/7_6">7/6</a>, &lt~~;~~a class="wiki_link" href="/32_25~~">~~32/25</a>~~

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

</td>

<td>Blue minor third

Line 1,081:

Line 1,117:

</tr>

<tr>

<td>10

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

</td>

<td style="text-align: center;">292.68

</td>

<td>~~292.68~~

</td>

<td~~><a class~~="~~wiki_link" href="/32_27~~">~~32/27</a>~~

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

</td>

<td>Gray minor third

Line 1,097:

Line 1,135:

</tr>

<tr>

<td>11

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

</td>

<td style="text-align: center;">321.95

</td>

<td>~~321.95~~

</td>

<td~~><a class~~="~~wiki_link" href="/6_5~~">~~6/5</a>~~

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

</td>

<td>Red minor third

Line 1,113:

Line 1,153:

</tr>

<tr>

<td>12

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

</td>

<td style="text-align: center;">351.22

</td>

<td>~~351.~~22

</td>

<td~~><a class="wiki_link" href~~="~~/11_9">11/9</a>,&lt~~;~~a class="wiki_link" href="/27_22~~">~~27/22</a>~~

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

</td>

<td>Neutral third

Line 1,129:

Line 1,171:

</tr>

<tr>

<td>13

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

</td>

<td style="text-align: center;">380.49

</td>

<td>~~380.49~~

</td>

<td~~><a class~~="~~wiki_link" href="/5_4~~">~~5/4</a>~~

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

</td>

<td>Blue major third

Line 1,145:

Line 1,189:

</tr>

<tr>

<td>14

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

</td>

<td style="text-align: center;">409.76

</td>

<td>~~409.76~~

</td>

<td~~><a class="wiki_link" href~~="~~/14_11">14/11</a>, &lt~~;~~a class="wiki_link" href="/81_64~~">~~81/64</a>~~

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

</td>

<td>Gray major third

Line 1,161:

Line 1,207:

</tr>

<tr>

<td>15

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

</td>

<td style="text-align: center;">439.02

</td>

<td>~~439.02~~

</td>

<td~~><a class~~="~~wiki_link" href="/9_7~~">~~9/7</a>~~

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

</td>

<td>Red major third

Line 1,177:

Line 1,225:

</tr>

<tr>

<td>16

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

</td>

<td style="text-align: center;">468.29

</td>

<td>~~468.29~~

</td>

<td~~><a class~~="~~wiki_link" href="/21_16~~">~~21/16</a>~~

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

</td>

<td>Blue fourth

Line 1,193:

Line 1,243:

</tr>

<tr>

<td>17

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

</td>

<td style="text-align: center;">497.56

</td>

<td>~~497.56~~

</td>

<td~~><a class~~="~~wiki_link" href="/4_3~~">~~4/3</a>~~

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

</td>

<td>Perfect fourth

Line 1,209:

Line 1,261:

</tr>

<tr>

<td>18

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

</td>

<td style="text-align: center;">526.83

</td>

<td>~~526.83~~

</td>

<td~~><a class="wiki_link" href~~="~~/15_11">15/11</a>, &lt~~;~~a class="wiki_link" href="/27_20~~">~~27/20</a>~~

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

</td>

<td>Red fourth

Line 1,225:

Line 1,279:

</tr>

<tr>

<td>19

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

</td>

<td style="text-align: center;">556.10

</td>

<td>~~556.10~~

</td>

<td~~><a class~~="~~wiki_link" href="/11_8~~">~~11/8</a>~~

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

</td>

<td>Blue minor tritone

Line 1,241:

Line 1,297:

</tr>

<tr>

<td>20

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

</td>

<td>585.37

<td style="text-align: center;">585.37

</td>

</td>

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

</td>

<td>Minor tritone / diminished fifth

Line 1,257:

Line 1,315:

</tr>

<tr>

<td>21

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

</td>

<td style="text-align: center;">614.63

</td>

<td>~~614.63~~

</td>

<td~~><a class~~="~~wiki_link" href="/10_7~~">~~10/7</a>~~

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

</td>

<td>Major tritone / augmented fourth

Line 1,273:

Line 1,333:

</tr>

<tr>

<td>22

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

</td>

<td>643.90

<td style="text-align: center;">643.90

</td>

</td>

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

</td>

<td>Red major tritone

Line 1,289:

Line 1,351:

</tr>

<tr>

<td>23

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

</td>

<td>673.17

<td style="text-align: center;">673.17

</td>

</td>

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

</td>

<td>Blue fifth

Line 1,305:

Line 1,369:

</tr>

<tr>

<td>24

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

</td>

<td style="text-align: center;">702.44

</td>

<td>~~702.44~~

</td>

<td~~><a class~~="~~wiki_link" href="/3_2~~">~~3/2</a>~~

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

</td>

<td>Perfect fifth

Line 1,321:

Line 1,387:

</tr>

<tr>

<td>25

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

</td>

<td style="text-align: center;">731.71

</td>

<td>~~731.71~~

</td>

<td~~><a class~~="~~wiki_link" href="/32_21~~">~~32/21</a>~~

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

</td>

<td>Red fifth

Line 1,337:

Line 1,405:

</tr>

<tr>

<td>26

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

</td>

<td>760.98

<td style="text-align: center;">760.98

</td>

</td>

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

</td>

<td>Blue minor sixth

Line 1,353:

Line 1,423:

</tr>

<tr>

<td>27

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

</td>

<td style="text-align: center;">790.24

</td>

<td>~~790.24~~

</td>

<td~~><a class="wiki_link" href~~="~~/11_7">11/7</a>, &lt~~;~~a class="wiki_link" href="/128_81~~">~~128/81</a>~~

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

</td>

<td>Gray minor sixth

Line 1,369:

Line 1,441:

</tr>

<tr>

<td>28

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

</td>

<td style="text-align: center;">819.51

</td>

<td>~~819.51~~

</td>

<td~~><a class~~="~~wiki_link" href="/8_5~~">~~8/5</a>~~

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

</td>

<td>Red minor sixth

Line 1,385:

Line 1,459:

</tr>

<tr>

<td>29

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

</td>

<td style="text-align: center;">848.78

</td>

<td>~~848.78~~

</td>

<td~~><a class="wiki_link" href~~="~~/18_11">18/11</a>, &lt~~;~~a class="wiki_link" href="/44_27~~">~~44/27</a>~~

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

</td>

<td>Neutral sixth

Line 1,401:

Line 1,477:

</tr>

<tr>

<td>30

<td style="text-align: center;">30

</td>

<td>878.05

<td style="text-align: center;">878.05

</td>

</td>

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

</td>

<td>Blue major sixth

Line 1,417:

Line 1,495:

</tr>

<tr>

<td>31

<td style="text-align: center;">31

</td>

<td>907.32

<td style="text-align: center;">907.32

</td>

</td>

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

</td>

<td>Gray major sixth

Line 1,433:

Line 1,513:

</tr>

<tr>

<td>32

<td style="text-align: center;">32

</td>

<td>936.59

<td style="text-align: center;">936.59

</td>

</td>

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

</td>

<td>Red major sixth

Line 1,449:

Line 1,531:

</tr>

<tr>

<td>33

<td style="text-align: center;">33

</td>

<td style="text-align: center;">965.85

</td>

<td>~~965.85~~

</td>

<td~~><a class~~="~~wiki_link" href="/7_4~~">~~7/4</a>~~

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

</td>

<td>Blue minor seventh

Line 1,465:

Line 1,549:

</tr>

<tr>

<td>34

<td style="text-align: center;">34

</td>

<td style="text-align: center;">995.12

</td>

<td>~~995.12~~

</td>

<td~~><a class~~="~~wiki_link" href="/16_9~~">~~16/9</a>~~

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

</td>

<td>Gray minor seventh

Line 1,481:

Line 1,567:

</tr>

<tr>

<td>35

<td style="text-align: center;">35

</td>

<td>1024.39

<td style="text-align: center;">1024.39

</td>

</td>

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

</td>

<td>Red minor seventh

Line 1,497:

Line 1,585:

</tr>

<tr>

<td>36

<td style="text-align: center;">36

</td>

<td>1053.66

<td style="text-align: center;">1053.66

</td>

</td>

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

</td>

<td>Neutral seventh

Line 1,513:

Line 1,603:

</tr>

<tr>

<td>37

<td style="text-align: center;">37

</td>

<td style="text-align: center;">1082.93

</td>

<td>~~1082.93~~

</td>

<td~~><a class~~="~~wiki_link" href="/15_8~~">~~15/8</a>~~

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

</td>

<td>Blue major seventh

Line 1,529:

Line 1,621:

</tr>

<tr>

<td>38

<td style="text-align: center;">38

</td>

<td>1112.20

<td style="text-align: center;">1112.20

</td>

</td>

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

</td>

<td>Gray major seventh

Line 1,545:

Line 1,639:

</tr>

<tr>

<td>39

<td style="text-align: center;">39

</td>

<td>1141.46

<td style="text-align: center;">1141.46

</td>

<td style="text-align: center;"><a class="wiki_link" href="/48_25">48/25</a>, <a class="wiki_link" href="/27_14">27/14</a>,

</td>

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

</td>

<td>Red major seventh

</td>

<td>to

</td>

<td>

</td>

<td>

</td>

</tr>

<tr>

<td>40

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

</td>

<td>1170.73

<td style="text-align: center;">1170.73

</td>

</td>

<td>Blue octave

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

</td>

<td>da

<td>Blue octave

</td>

<td>

<td>da

</td>

<td>

</td>

</tr>

<td>

</table>

</td>

</tr>

<tr>

<td style="text-align: center;">41

</td>

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

</td>

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

</td>

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

</td>

<td>

</td>

<td>do

</td>

<td>

</td>

<td>

</td>

</tr>

</table>

41edo chord names using ups and downs:

0-10-20 = D F Ab = Ddim = &quot;D dim&quot;

0-10-21 = D F Ab^ = Ddim(^5) = &quot;D dim up-five&quot;

0-10-22 = D F Avv = Dm(vv5) = &quot;D minor double-down five&quot;, or possibly Ddim(^^5)

0-10-23 = D F Av = Dm(v5) = &quot;D minor down-five&quot;

0-10-24 = D F A = Dm = &quot;D minor&quot;

0-11-24 = D F^ A = D.^m = &quot;D upminor&quot;

0-12-24 = D F^^ A = D.~ = &quot;D mid&quot;

0-13-24 = D F#v A = D.v = &quot;D downmajor&quot; or &quot;D dot down&quot;

0-14-24 = D F# A = D = &quot;D&quot; or &quot;D major&quot;

0-14-25 = D F# A^ = D(^5) = &quot;D up-five&quot;

0-14-26 = D F# A^^ = D(^^5) = &quot;D double-up-five&quot;, or possibly Daug(vv5)

0-14-27 = D F# A#v = Daug(v5) = &quot;D aug down-five&quot;

0-14-28 = D F# A# is Daug = &quot;D aug&quot;

etc.

For a more complete list, see <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation#Chord%20names%20in%20other%20EDOs">Ups and Downs Notation - Chord names in other EDOs</a>.

<h2 id="toc4"><a name="Intervals-Selected just intervals by error"></a>Selected just intervals by error</h2>

Line 1,738:

Line 1,872:

<h1 id="toc5"><a name="Instruments"></a>Instruments</h1>

<img src="/file/view/Ron_Sword_with_a_41ET_Guitar.jpg/221056094/Ron_Sword_with_a_41ET_Guitar.jpg" alt="Ron_Sword_with_a_41ET_Guitar.jpg" title="Ron_Sword_with_a_41ET_Guitar.jpg" />

<img src="/file/view/Ron_Sword_with_a_41ET_Guitar.jpg/221056094/Ron_Sword_with_a_41ET_Guitar.jpg" alt="Ron_Sword_with_a_41ET_Guitar.jpg" title="Ron_Sword_with_a_41ET_Guitar.jpg" />

41-EDO Classical guitar, by Ron Sword.

Line 2,826:

Line 2,960:

<h2 id="toc8"><a name="Nonoctave Temperaments-Notation"></a>Notation</h2>

A red-note/blue-note system, similar to the one proposed for <a class="wiki_link" href="/36edo">36edo</a>, is one option for notating 41edo. We have the &quot;white key&quot; albitonic notes A-G (7 in total), the &quot;black key&quot; sharps and flats (10 in total), a &quot;red&quot; and &quot;blue&quot; version of each albitonic note (14 in total), a &quot;red&quot; (dark red?) version of each sharp and a &quot;blue&quot; (dark blue?) version of each flat (10 in total), adding up to 41. This would result in quite a colorful keyboard! Note that there are no red flats or blue sharps. Using this nomenclature the notes are:

A red-note/blue-note system, similar to the one proposed for <a class="wiki_link" href="/36edo">36edo</a>, is one option for notating 41edo. (This is separate from and not compatible with Kite's <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Kite%27s%20color%20notation">color notation</a>.) We have the &quot;white key&quot; albitonic notes A-G (7 in total), the &quot;black key&quot; sharps and flats (10 in total), a &quot;red&quot; and &quot;blue&quot; version of each albitonic note (14 in total), a &quot;red&quot; (dark red?) version of each sharp and a &quot;blue&quot; (dark blue?) version of each flat (10 in total), adding up to 41. This would result in quite a colorful keyboard! Note that there are no red flats or blue sharps. Using this nomenclature the notes are:

A, red A, blue Bb, Bb, A#, red A#, blue B, B, red B, blue C, C, red C, blue Db, Db, C#, red C#, blue D, D, red D, blue Eb, Eb, D#, red D#, blue E, E, red E, blue F, F, red F, blue Gb, Gb, F#, red F#, blue G, G, red G, blue Ab, Ab, G#, red G#, blue A, A.

Line 2,834:

Line 2,968:

The step size of 41edo is small enough that the smallest interval (the &quot;red/blue unison&quot;, seventh-tone, comma, diesis or whatever you want to call it) is actually fairly consonant with most timbres; it resembles a &quot;noticeably out of tune unison&quot; rather than a minor second, and has its own distinct character and appeal.

~~41edo can be notated with <a class="wiki_link" href="/Ups%20and%20Downs%20Notation">ups and downs</a> like so: ~~

~~Black and white keys: C * * * * * * D * * * * * * E * * F * * * * * * G * * * * * * A * * * * * * B * * C ~~

~~P1 ^P1 vm2 m2 ^m2 ~2 vM2 M2 ^M2 vm3 m3 ^m3 ~3 vM3 M3 ^M3 vP4 P4 ^P4 ^^P4 d5 ^d5 vvP5 vP5 P5 etc. ~~

~~In C: C C^ Dbv Db Db^ D D^ Ebv Eb Eb^ E E^ Fv F F^ F# Gb Gb^ G etc. ~~

~~41edo chord names: ~~

~~0-10-20 = D F Ab = Ddim = &quot;D dim&quot; ~~

~~0-10-21 = D F Ab^ = Ddim(^5) = &quot;D dim up-five&quot; ~~

~~0-10-22 = D F Avv = Dm(vv5) = &quot;D minor double-down five&quot;, or possibly Ddim(^^5) ~~

~~0-10-23 = D F Av = Dm(v5) = &quot;D minor down-five&quot; ~~

~~0-10-24 = D F A = Dm = &quot;D minor&quot; ~~

~~0-11-24 = D F^ A = D.^m = &quot;D upminor&quot; ~~

~~0-12-24 = D F^^ A = D.~ = &quot;D mid&quot; ~~

~~0-13-24 = D F#v A = D.v = &quot;D downmajor&quot; or &quot;D dot down&quot; ~~

~~0-14-24 = D F# A = D = &quot;D&quot; or &quot;D major&quot; ~~

~~0-14-25 = D F# A^ = D(^5) = &quot;D up-five&quot; ~~

~~0-14-26 = D F# A^^ = D(^^5) = &quot;D double-up-five&quot;, or possibly Daug(vv5) ~~

~~0-14-27 = D F# A#v = Daug(v5) = &quot;D aug down-five&quot; ~~

~~0-14-28 = D F# A# is Daug = &quot;D aug&quot; ~~

~~etc. ~~

<h1 id="toc9"><a name="Music"></a>Music</h1>

Line 2,858:

Line 2,973:

<h1 id="toc10"><a name="Links"></a>Links</h1>

<ul><li><a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/41_equal_temperament" rel="nofollow">Wikipedia article on 41edo</a></li><li><a class="wiki_link" href="/Magic22%20as%20srutis#magic22assrutis">Magic22 as srutis</a> describes a possible use of 41edo for <a class="wiki_link" href="/indian">indian</a> music.</li><li>see also <a class="wiki_link" href="/Magic%20family">Magic family</a></li><li>Sword, Ron. <a class="wiki_link_ext" href="http://www.ronsword.com" rel="nofollow" target="_blank">&quot;Tetracontamonophonic Scales for Guitar&quot;</a></li></ul><hr class="references" /><ol class="references">

<ul><li><a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/41_equal_temperament" rel="nofollow">Wikipedia article on 41edo</a></li><li><a class="wiki_link" href="/Magic22%20as%20srutis#magic22assrutis">Magic22 as srutis</a> describes a possible use of 41edo for <a class="wiki_link" href="/indian">indian</a> music.</li><li>see also <a class="wiki_link" href="/Magic%20family">Magic family</a></li><li>Sword, Ron. <a class="wiki_link_ext" href="http://www.ronsword.com" rel="nofollow" target="_blank">&quot;Tetracontamonophonic Scales for Guitar&quot;</a></li></ul><hr class="references" /><ol class="references">

<li id="cite_note-1"><a href="#cite_ref-1">^</a> <a class="wiki_link_ext" href="http://x31eq.com/schismic.htm" rel="nofollow">&quot;Schismic Temperaments&quot;</a> at x31eq.com the website of <a class="wiki_link" href="/Graham%20Breed">Graham Breed</a></li>

<li id="cite_note-2"><a href="#cite_ref-2">^</a> <a class="wiki_link_ext" href="http://x31eq.com/decimal_lattice.htm" rel="nofollow">&quot;Lattices with Decimal Notation&quot;</a> at x31eq.com</li>

<li id="cite_note-3"><a href="#cite_ref-3">^</a> <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Schismatic_temperament" rel="nofollow">Schismatic temperament</a></li>

<li id="cite_note-4"><a href="#cite_ref-4">^</a> <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Magic_temperament" rel="nofollow">Magic temperament</a></li>

</ol></body></html></pre></div>

</ol></body></html></pre></div>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-06 08:45:22 UTC</tt>.<br>
+: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-12-28 03:59:20 UTC</tt>.<br>
-: The original revision id was <tt>601504166</tt>.<br>
+: The original revision id was <tt>602865326</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 21: / Line 21: @@
 =Commas=
-EDO tempers out the following commas using its patent val, &lt; [[tel:41 65 95 115 142|41 65 95 115 142]]/1 [[tel:152 168 174 185 199|152 168 174 185 199]]/1 203 |.
+EDO tempers out the following commas using its patent val, &lt; [[tel/41 65 95 115 142|41 65 95 115 142]]/1 [[tel/152 168 174 185 199|152 168 174 185 199]]/1 203 |.
 ||~ Name ||~ Monzo ||~ Ratio ||~ Cents ||
 || odiheim || | -1 2 -4 5 -2 &gt; ||=   || 0.15 ||
@@ Line 86: / Line 86: @@
 =Intervals=
-||~ degrees of 41edo ||~ cents value ||~ Approximate Ratios in the [[11-limit]] ||~ Proposed names ||~ Andrew's solfege syllable ||~ generator for ||~ some MOS and MODMOS Scales available ||
+||~ step ||~ cents value ||~ Approximate
-|| 0 || 0.00 || [[1_1|1/1]] || Unison || do ||   ||   ||
+Ratios in the [[11-limit]] ||~ [[xenharmonic/Ups and Downs Notation|ups and]]
-|| 1 || 29.27 || [[81_80|81/80]] || Red unison || di ||   ||   ||
+[[xenharmonic/Ups and Downs Notation|downs]]
-|| 2 || 58.54 || [[25_24|25/24]], [[28_27|28/27]], [[33_32|33/32]] || Blue minor second || ro || [[Hemimiracle]] ||   ||
+[[xenharmonic/Ups and Downs Notation|notation]] ||~ Proposed names ||~ Andrew's
-|| 3 || 87.80 || [[21_20|21/20]], [[22_21|22/21]] || Gray minor second || rih || 88cET (approx) / [[octacot]] ||   ||
+solfege
-|| 4 || 117.07 || [[16_15|16/15]], [[15_14|15/14]] || Red minor second || ra || [[Miracle]] ||   ||
+syllable ||~ generator for ||~ some MOS and MODMOS Scales available ||
-|| 5 || 146.34 || [[12_11|12/11]] || Neutral second || ru || [[Bohlen-Pierce]]/[[bohpier]] ||   ||
+||= 0 ||= 0.00 ||= [[1_1|1/1]] ||= P1 || Unison || do ||   ||   ||
-|| 6 || 175.61 || [[10_9|10/9]], [[11_10|11/10]] || Blue major second || reh || [[Tetracot]]/[[bunya]]/[[monkey]] || 13-tone MOS: 1 5 1 5 1 5 1 5 5 1 5 1 5 ||
+||= 1 ||= 29.27 ||= [[81_80|81/80]] ||= ^1 || Red unison || di ||   ||   ||
-|| 7 || 204.88 || [[9_8|9/8]] || Gray major second || re || [[Baldy]] || 11-tone MOS: 6 1 6 6 1 6 1 6 1 6 1 ||
+||= 2 ||= 58.54 ||= [[25_24|25/24]], [[28_27|28/27]],
-|| 8 || 234.15 || [[8_7|8/7]] || Red major second || ri || [[Rodan]]/[[guiron]] || 11-tone MOS: 7 1 7 1 7 1 7 1 1 7 1 ||
+[[33_32|33/32]] ||= vm2 || Blue minor second || ro || [[Hemimiracle]] ||   ||
-|| 9 || 263.41 || [[7_6|7/6]], [[32_25|32/25]] || Blue minor third || ma || [[Septimin]] || 9-tone MOS: 5 4 5 5 4 5 4 5 4 ||
+||= 3 ||= 87.80 ||= [[21_20|21/20]], [[22_21|22/21]] ||= m2 || Gray minor second || rih || 88cET (approx),
-|| 10 || 292.68 || [[32_27|32/27]] || Gray minor third || meh || [[Quasitemp]] ||   ||
+[[octacot]] ||   ||
-|| 11 || 321.95 || [[6_5|6/5]] || Red minor third || me || [[Superkleismic]] || 11-tone MOS: 5 3 5 3 3 5 3 3 5 3 3 ||
+||= 4 ||= 117.07 ||= [[16_15|16/15]], [[15_14|15/14]] ||= ^m2 || Red minor second || ra || [[Miracle]] ||   ||
-|| 12 || 351.22 || [[11_9|11/9]],[[27_22|27/22]] || Neutral third || mu || [[Hemififths]]/[[karadeniz]] || 10-tone MOS: 5 2 5 5 2 5 5 5 2 5 ||
+||= 5 ||= 146.34 ||= [[12_11|12/11]] ||= ~2 || Neutral second || ru || [[Bohlen-Pierce]]/[[bohpier]] ||   ||
-|| 13 || 380.49 || [[5_4|5/4]] || Blue major third || mi || [[Magic]]/[[witchcraft]] || 10-tone MOS: 2 9 2 2 9 2 2 9 2 2 ||
+||= 6 ||= 175.61 ||= [[10_9|10/9]], [[11_10|11/10]] ||= vM2 || Blue major second || reh || [[Tetracot]]/[[bunya]]/[[monkey]] || 13-tone MOS: 1 5 1 5 1 5 1 5 5 1 5 1 5 ||
-|| 14 || 409.76 || [[14_11|14/11]], [[81_64|81/64]] || Gray major third || maa || [[Hocus]] ||   ||
+||= 7 ||= 204.88 ||= [[9_8|9/8]] ||= M2 || Gray major second || re || [[Baldy]] || 11-tone MOS: 6 1 6 6 1 6 1 6 1 6 1 ||
-|| 15 || 439.02 || [[9_7|9/7]] || Red major third || mo ||   || 11-tone MOS: 4 3 4 4 4 3 4 4 3 4 4 ||
+||= 8 ||= 234.15 ||= [[8_7|8/7]] ||= ^M2 || Red major second || ri || [[Rodan]]/[[guiron]] || 11-tone MOS: 7 1 7 1 7 1 7 1 1 7 1 ||
-|| 16 || 468.29 || [[21_16|21/16]] || Blue fourth || fe || [[Barbad]] ||   ||
+||= 9 ||= 263.41 ||= [[7_6|7/6]], [[32_25|32/25]] ||= vm3 || Blue minor third || ma || [[Septimin]] || 9-tone MOS: 5 4 5 5 4 5 4 5 4 ||
-|| 17 || 497.56 || [[4_3|4/3]] || Perfect fourth || fa || [[Schismatic]] ([[helmholtz]], [[Garibaldi temperament|garibaldi]], [[cassandra]]) ||   ||
+||= 10 ||= 292.68 ||= [[32_27|32/27]] ||= m3 || Gray minor third || meh || [[Quasitemp]] ||   ||
-|| 18 || 526.83 || [[15_11|15/11]], [[27_20|27/20]] || Red fourth || fih || [[Trismegistus]] || 9-tone MOS: 5 5 3 5 5 5 5 3 5 ||
+||= 11 ||= 321.95 ||= [[6_5|6/5]] ||= ^m3 || Red minor third || me || [[Superkleismic]] || 11-tone MOS: 5 3 5 3 3 5 3 3 5 3 3 ||
-|| 19 || 556.10 || [[11_8|11/8]] || Blue minor tritone || fu ||   ||   ||
+||= 12 ||= 351.22 ||= [[11_9|11/9]],[[27_22|27/22]] ||= ~3 || Neutral third || mu || [[Hemififths]]/[[karadeniz]] || 10-tone MOS: 5 2 5 5 2 5 5 5 2 5 ||
-|| 20 || 585.37 || [[7_5|7/5]] || Minor tritone / diminished fifth || fi || [[Pluto]] ||   ||
+||= 13 ||= 380.49 ||= [[5_4|5/4]] ||= vM3 || Blue major third || mi || [[Magic]]/[[witchcraft]] || 10-tone MOS: 2 9 2 2 9 2 2 9 2 2 ||
-|| 21 || 614.63 || [[10_7|10/7]] || Major tritone / augmented fourth || se ||   ||   ||
+||= 14 ||= 409.76 ||= [[14_11|14/11]], [[81_64|81/64]] ||= M3 || Gray major third || maa || [[Hocus]] ||   ||
-|| 22 || 643.90 || [[16_11|16/11]] || Red major tritone || su ||   ||   ||
+||= 15 ||= 439.02 ||= [[9_7|9/7]] ||= ^M3 || Red major third || mo ||   || 11-tone MOS: 4 3 4 4 4 3 4 4 3 4 4 ||
-|| 23 || 673.17 || [[22_15|22/15]], [[40_27|40/27]] || Blue fifth || sih ||   ||   ||
+||= 16 ||= 468.29 ||= [[21_16|21/16]] ||= v4 || Blue fourth || fe || [[Barbad]] ||   ||
-|| 24 || 702.44 || [[3_2|3/2]] || Perfect fifth || sol ||   ||   ||
+||= 17 ||= 497.56 ||= [[4_3|4/3]] ||= P4 || Perfect fourth || fa || [[Schismatic]] ([[helmholtz]], [[Garibaldi temperament|garibaldi]], [[cassandra]]) ||   ||
-|| 25 || 731.71 || [[32_21|32/21]] || Red fifth || si ||   ||   ||
+||= 18 ||= 526.83 ||= [[15_11|15/11]], [[27_20|27/20]] ||= ^4 || Red fourth || fih || [[Trismegistus]] || 9-tone MOS: 5 5 3 5 5 5 5 3 5 ||
-|| 26 || 760.98 || [[14_9|14/9]], [[25_16|25/16]] || Blue minor sixth || lo ||   ||   ||
+||= 19 ||= 556.10 ||= [[11_8|11/8]] ||= ^^4 || Blue minor tritone || fu ||   ||   ||
-|| 27 || 790.24 || [[11_7|11/7]], [[128_81|128/81]] || Gray minor sixth || leh ||   ||   ||
+||= 20 ||= 585.37 ||= [[7_5|7/5]] ||= vA4, d5 || Minor tritone / diminished fifth || fi || [[Pluto]] ||   ||
-|| 28 || 819.51 || [[8_5|8/5]] || Red minor sixth || le ||   ||   ||
+||= 21 ||= 614.63 ||= [[10_7|10/7]] ||= A4, ^d5 || Major tritone / augmented fourth || se ||   ||   ||
-|| 29 || 848.78 || [[18_11|18/11]], [[44_27|44/27]] || Neutral sixth || lu ||   ||   ||
+||= 22 ||= 643.90 ||= [[16_11|16/11]] ||= vv5 || Red major tritone || su ||   ||   ||
-|| 30 || 878.05 || [[5_3|5/3]] || Blue major sixth || la ||   ||   ||
+||= 23 ||= 673.17 ||= [[22_15|22/15]], [[40_27|40/27]] ||= v5 || Blue fifth || sih ||   ||   ||
-|| 31 || 907.32 || [[27_16|27/16]] || Gray major sixth || laa ||   ||   ||
+||= 24 ||= 702.44 ||= [[3_2|3/2]] ||= P5 || Perfect fifth || sol ||   ||   ||
-|| 32 || 936.59 || [[12_7|12/7]] || Red major sixth || li ||   ||   ||
+||= 25 ||= 731.71 ||= [[32_21|32/21]] ||= ^5 || Red fifth || si ||   ||   ||
-|| 33 || 965.85 || [[7_4|7/4]] || Blue minor seventh || ta ||   ||   ||
+||= 26 ||= 760.98 ||= [[14_9|14/9]], [[25_16|25/16]] ||= vm6 || Blue minor sixth || lo ||   ||   ||
-|| 34 || 995.12 || [[16_9|16/9]] || Gray minor seventh || teh ||   ||   ||
+||= 27 ||= 790.24 ||= [[11_7|11/7]], [[128_81|128/81]] ||= m6 || Gray minor sixth || leh ||   ||   ||
-|| 35 || 1024.39 || [[9_5|9/5]], [[20_11|20/11]] || Red minor seventh || te ||   ||   ||
+||= 28 ||= 819.51 ||= [[8_5|8/5]] ||= ^m6 || Red minor sixth || le ||   ||   ||
-|| 36 || 1053.66 || [[11_6|11/6]] || Neutral seventh || tu ||   ||   ||
+||= 29 ||= 848.78 ||= [[18_11|18/11]], [[44_27|44/27]] ||= ~6 || Neutral sixth || lu ||   ||   ||
-|| 37 || 1082.93 || [[15_8|15/8]] || Blue major seventh || ti ||   ||   ||
+||= 30 ||= 878.05 ||= [[5_3|5/3]] ||= vM6 || Blue major sixth || la ||   ||   ||
-|| 38 || 1112.20 || [[40_21|40/21]], [[21_11|21/11]] || Gray major seventh || taa ||   ||   ||
+||= 31 ||= 907.32 ||= [[27_16|27/16]] ||= M6 || Gray major sixth || laa ||   ||   ||
-|| 39 || 1141.46 || [[48_25|48/25]], [[27_14|27/14]], [[64_33|64/33]] || Red major seventh || to ||   ||   ||
+||= 32 ||= 936.59 ||= [[12_7|12/7]] ||= ^M6 || Red major sixth || li ||   ||   ||
-|| 40 || 1170.73 || [[160_81|160/81]] || Blue octave || da ||   ||   ||
+||= 33 ||= 965.85 ||= [[7_4|7/4]] ||= vm7 || Blue minor seventh || ta ||   ||   ||
+||= 34 ||= 995.12 ||= [[16_9|16/9]] ||= m7 || Gray minor seventh || teh ||   ||   ||
+||= 35 ||= 1024.39 ||= [[9_5|9/5]], [[20_11|20/11]] ||= ^m7 || Red minor seventh || te ||   ||   ||
+||= 36 ||= 1053.66 ||= [[11_6|11/6]] ||= ~7 || Neutral seventh || tu ||   ||   ||
+||= 37 ||= 1082.93 ||= [[15_8|15/8]] ||= vM7 || Blue major seventh || ti ||   ||   ||
+||= 38 ||= 1112.20 ||= [[40_21|40/21]], [[21_11|21/11]] ||= M7 || Gray major seventh || taa ||   ||   ||
+||= 39 ||= 1141.46 ||= [[48_25|48/25]], [[27_14|27/14]],
+[[64_33|64/33]] ||= ^M7 || Red major seventh || to ||   ||   ||
+||= 40 ||= 1170.73 ||= [[160_81|160/81]] ||= v8 || Blue octave || da ||   ||   ||
+||= 41 ||= 1200 ||= 2/1 ||= P8 ||   || do ||   ||   ||
+edo chord names using ups and downs:
+-10-20 = D F Ab = Ddim = "D dim"
+-10-21 = D F Ab^ = Ddim(^5) = "D dim up-five"
+-10-22 = D F Avv = Dm(vv5) = "D minor double-down five", or possibly Ddim(^^5)
+-10-23 = D F Av = Dm(v5) = "D minor down-five"
+-10-24 = D F A = Dm = "D minor"
+-11-24 = D F^ A = D.^m = "D upminor"
+-12-24 = D F^^ A = D.~ = "D mid"
+-13-24 = D F#v A = D.v = "D downmajor" or "D dot down"
+-14-24 = D F# A = D = "D" or "D major"
+-14-25 = D F# A^ = D(^5) = "D up-five"
+-14-26 = D F# A^^ = D(^^5) = "D double-up-five", or possibly Daug(vv5)
+-14-27 = D F# A#v = Daug(v5) = "D aug down-five"
+-14-28 = D F# A# is Daug = "D aug"
+etc.
+For a more complete list, see [[xenharmonic/Ups and Downs Notation#Chord%20names%20in%20other%20EDOs|Ups and Downs Notation - Chord names in other EDOs]].
 ==Selected just intervals by error==
@@ Line 248: / Line 274: @@
 ==Notation==
-A red-note/blue-note system, similar to the one proposed for [[36edo]], is one option for notating 41edo. We have the "white key" albitonic notes A-G (7 in total), the "black key" sharps and flats (10 in total), a "red" and "blue" version of each albitonic note (14 in total), a "red" (dark red?) version of each sharp and a "blue" (dark blue?) version of each flat (10 in total), adding up to 41. This would result in quite a colorful keyboard! Note that there are no red flats or blue sharps. Using this nomenclature the notes are:
+A red-note/blue-note system, similar to the one proposed for [[36edo]], is one option for notating 41edo. (This is separate from and not compatible with Kite's [[xenharmonic/Kite's color notation|color notation]].) We have the "white key" albitonic notes A-G (7 in total), the "black key" sharps and flats (10 in total), a "red" and "blue" version of each albitonic note (14 in total), a "red" (dark red?) version of each sharp and a "blue" (dark blue?) version of each flat (10 in total), adding up to 41. This would result in quite a colorful keyboard! Note that there are no red flats or blue sharps. Using this nomenclature the notes are:
 A, red A, blue Bb, Bb, A#, red A#, blue B, B, red B, blue C, C, red C, blue Db, Db, C#, red C#, blue D, D, red D, blue Eb, Eb, D#, red D#, blue E, E, red E, blue F, F, red F, blue Gb, Gb, F#, red F#, blue G, G, red G, blue Ab, Ab, G#, red G#, blue A, A.
@@ Line 256: / Line 282: @@
 The step size of 41edo is small enough that the smallest interval (the "red/blue unison", seventh-tone, comma, diesis or whatever you want to call it) is actually fairly consonant with most timbres; it resembles a "noticeably out of tune unison" rather than a minor second, and has its own distinct character and appeal.
-edo can be notated with [[Ups and Downs Notation|ups and downs]] like so:
-Black and white keys: C * * * * * * D * * * * * * E * * F * * * * * * G * * * * * * A * * * * * * B * * C
-P1 ^P1 vm2 m2 ^m2 ~2 vM2 M2 ^M2 vm3 m3 ^m3 ~3 vM3 M3 ^M3 vP4 P4 ^P4 ^^P4 d5 ^d5 vvP5 vP5 P5 etc.
-In C: C C^ Dbv Db Db^ D D^ Ebv Eb Eb^ E E^ Fv F F^ F# Gb Gb^ G etc.
-edo chord names:
--10-20 = D F Ab = Ddim = "D dim"
--10-21 = D F Ab^ = Ddim(^5) = "D dim up-five"
--10-22 = D F Avv = Dm(vv5) = "D minor double-down five", or possibly Ddim(^^5)
--10-23 = D F Av = Dm(v5) = "D minor down-five"
--10-24 = D F A = Dm = "D minor"
--11-24 = D F^ A = D.^m = "D upminor"
--12-24 = D F^^ A = D.~ = "D mid"
--13-24 = D F#v A = D.v = "D downmajor" or "D dot down"
--14-24 = D F# A = D = "D" or "D major"
--14-25 = D F# A^ = D(^5) = "D up-five"
--14-26 = D F# A^^ = D(^^5) = "D double-up-five", or possibly Daug(vv5)
--14-27 = D F# A#v = Daug(v5) = "D aug down-five"
--14-28 = D F# A# is Daug = "D aug"
-etc.
 =Music=
@@ Line 905: / Line 912: @@
 &lt;table class="wiki_table"&gt;
      &lt;tr&gt;
-         &lt;th&gt;degrees of 41edo&lt;br /&gt;
+         &lt;th&gt;step&lt;br /&gt;
 &lt;/th&gt;
          &lt;th&gt;cents value&lt;br /&gt;
 &lt;/th&gt;
-         &lt;th&gt;Approximate Ratios in the &lt;a class="wiki_link" href="/11-limit"&gt;11-limit&lt;/a&gt;&lt;br /&gt;
+         &lt;th&gt;Approximate&lt;br /&gt;
+Ratios in the &lt;a class="wiki_link" href="/11-limit"&gt;11-limit&lt;/a&gt;&lt;br /&gt;
+&lt;/th&gt;
+        &lt;th&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation"&gt;ups and&lt;/a&gt;&lt;br /&gt;
+&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation"&gt;downs&lt;/a&gt;&lt;br /&gt;
+&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation"&gt;notation&lt;/a&gt;&lt;br /&gt;
 &lt;/th&gt;
          &lt;th&gt;Proposed names&lt;br /&gt;
 &lt;/th&gt;
-         &lt;th&gt;Andrew's solfege syllable&lt;br /&gt;
+         &lt;th&gt;Andrew's&lt;br /&gt;
+solfege&lt;br /&gt;
+syllable&lt;br /&gt;
 &lt;/th&gt;
          &lt;th&gt;generator for&lt;br /&gt;
@@ Line 921: / Line 935: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;0&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;0&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;0.00&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;0.00&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/1_1"&gt;1/1&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/1_1"&gt;1/1&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;P1&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Unison&lt;br /&gt;
@@ Line 937: / Line 953: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;1&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;1&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;29.27&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;29.27&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/81_80"&gt;81/80&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/81_80"&gt;81/80&lt;/a&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;^1&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Red unison&lt;br /&gt;
@@ Line 953: / Line 971: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;2&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;2&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;58.54&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;58.54&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/25_24"&gt;25/24&lt;/a&gt;, &lt;a class="wiki_link" href="/28_27"&gt;28/27&lt;/a&gt;, &lt;a class="wiki_link" href="/33_32"&gt;33/32&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/25_24"&gt;25/24&lt;/a&gt;, &lt;a class="wiki_link" href="/28_27"&gt;28/27&lt;/a&gt;,&lt;br /&gt;
+&lt;a class="wiki_link" href="/33_32"&gt;33/32&lt;/a&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;vm2&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Blue minor second&lt;br /&gt;
@@ Line 969: / Line 990: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;3&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;3&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;87.80&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;87.80&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&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;br /&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;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;m2&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Gray minor second&lt;br /&gt;
@@ Line 979: / Line 1,002: @@
          &lt;td&gt;rih&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;88cET (approx) / &lt;a class="wiki_link" href="/octacot"&gt;octacot&lt;/a&gt;&lt;br /&gt;
+         &lt;td&gt;88cET (approx),&lt;br /&gt;
+&lt;a class="wiki_link" href="/octacot"&gt;octacot&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 985: / Line 1,009: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;4&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;4&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;117.07&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;117.07&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/16_15"&gt;16/15&lt;/a&gt;, &lt;a class="wiki_link" href="/15_14"&gt;15/14&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/16_15"&gt;16/15&lt;/a&gt;, &lt;a class="wiki_link" href="/15_14"&gt;15/14&lt;/a&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;^m2&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Red minor second&lt;br /&gt;
@@ Line 1,001: / Line 1,027: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;5&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;5&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;146.34&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;146.34&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/12_11"&gt;12/11&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/12_11"&gt;12/11&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;~2&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Neutral second&lt;br /&gt;
@@ Line 1,017: / Line 1,045: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;6&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;6&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;175.61&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;175.61&lt;br /&gt;
+         &lt;td style="text-align: center;"&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;&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 style="text-align: center;"&gt;vM2&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Blue major second&lt;br /&gt;
@@ Line 1,033: / Line 1,063: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;7&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;7&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;204.88&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;204.88&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/9_8"&gt;9/8&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/9_8"&gt;9/8&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;M2&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Gray major second&lt;br /&gt;
@@ Line 1,049: / Line 1,081: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;8&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;8&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;234.15&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;234.15&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;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/8_7"&gt;8/7&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;^M2&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Red major second&lt;br /&gt;
@@ Line 1,065: / Line 1,099: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;9&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;9&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;263.41&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;263.41&lt;br /&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="/32_25"&gt;32/25&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/7_6"&gt;7/6&lt;/a&gt;, &lt;a class="wiki_link" href="/32_25"&gt;32/25&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;vm3&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Blue minor third&lt;br /&gt;
@@ Line 1,081: / Line 1,117: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;10&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;10&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;292.68&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;292.68&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/32_27"&gt;32/27&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/32_27"&gt;32/27&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;m3&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Gray minor third&lt;br /&gt;
@@ Line 1,097: / Line 1,135: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;11&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;11&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;321.95&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;321.95&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;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/6_5"&gt;6/5&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;^m3&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Red minor third&lt;br /&gt;
@@ Line 1,113: / Line 1,153: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;12&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;12&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;351.22&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;351.22&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/11_9"&gt;11/9&lt;/a&gt;,&lt;a class="wiki_link" href="/27_22"&gt;27/22&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/11_9"&gt;11/9&lt;/a&gt;,&lt;a class="wiki_link" href="/27_22"&gt;27/22&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;~3&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Neutral third&lt;br /&gt;
@@ Line 1,129: / Line 1,171: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;13&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;13&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;380.49&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;380.49&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/5_4"&gt;5/4&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/5_4"&gt;5/4&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;vM3&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Blue major third&lt;br /&gt;
@@ Line 1,145: / Line 1,189: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;14&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;14&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;409.76&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;409.76&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/14_11"&gt;14/11&lt;/a&gt;, &lt;a class="wiki_link" href="/81_64"&gt;81/64&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/14_11"&gt;14/11&lt;/a&gt;, &lt;a class="wiki_link" href="/81_64"&gt;81/64&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;M3&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Gray major third&lt;br /&gt;
@@ Line 1,161: / Line 1,207: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;15&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;15&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;439.02&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;439.02&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;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/9_7"&gt;9/7&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;^M3&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Red major third&lt;br /&gt;
@@ Line 1,177: / Line 1,225: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;16&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;16&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;468.29&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;468.29&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/21_16"&gt;21/16&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/21_16"&gt;21/16&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;v4&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Blue fourth&lt;br /&gt;
@@ Line 1,193: / Line 1,243: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;17&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;17&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;497.56&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;497.56&lt;br /&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;&lt;a class="wiki_link" href="/4_3"&gt;4/3&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;P4&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Perfect fourth&lt;br /&gt;
@@ Line 1,209: / Line 1,261: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;18&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;18&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;526.83&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;526.83&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/15_11"&gt;15/11&lt;/a&gt;, &lt;a class="wiki_link" href="/27_20"&gt;27/20&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/15_11"&gt;15/11&lt;/a&gt;, &lt;a class="wiki_link" href="/27_20"&gt;27/20&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;^4&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Red fourth&lt;br /&gt;
@@ Line 1,225: / Line 1,279: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;19&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;19&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;556.10&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;556.10&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;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/11_8"&gt;11/8&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;^^4&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Blue minor tritone&lt;br /&gt;
@@ Line 1,241: / Line 1,297: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;20&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;20&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;585.37&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;585.37&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/7_5"&gt;7/5&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/7_5"&gt;7/5&lt;/a&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;vA4, d5&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Minor tritone / diminished fifth&lt;br /&gt;
@@ Line 1,257: / Line 1,315: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;21&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;21&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;614.63&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;614.63&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/10_7"&gt;10/7&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/10_7"&gt;10/7&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;A4, ^d5&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Major tritone / augmented fourth&lt;br /&gt;
@@ Line 1,273: / Line 1,333: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;22&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;22&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;643.90&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;643.90&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/16_11"&gt;16/11&lt;/a&gt;&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;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;vv5&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Red major tritone&lt;br /&gt;
@@ Line 1,289: / Line 1,351: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;23&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;23&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;673.17&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;673.17&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/22_15"&gt;22/15&lt;/a&gt;, &lt;a class="wiki_link" href="/40_27"&gt;40/27&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/22_15"&gt;22/15&lt;/a&gt;, &lt;a class="wiki_link" href="/40_27"&gt;40/27&lt;/a&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;v5&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Blue fifth&lt;br /&gt;
@@ Line 1,305: / Line 1,369: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;24&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;24&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;702.44&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;702.44&lt;br /&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;&lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;P5&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Perfect fifth&lt;br /&gt;
@@ Line 1,321: / Line 1,387: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;25&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;25&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;731.71&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;731.71&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/32_21"&gt;32/21&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/32_21"&gt;32/21&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;^5&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Red fifth&lt;br /&gt;
@@ Line 1,337: / Line 1,405: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;26&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;26&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;760.98&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;760.98&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/14_9"&gt;14/9&lt;/a&gt;, &lt;a class="wiki_link" href="/25_16"&gt;25/16&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/14_9"&gt;14/9&lt;/a&gt;, &lt;a class="wiki_link" href="/25_16"&gt;25/16&lt;/a&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;vm6&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Blue minor sixth&lt;br /&gt;
@@ Line 1,353: / Line 1,423: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;27&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;27&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;790.24&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;790.24&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="/128_81"&gt;128/81&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/11_7"&gt;11/7&lt;/a&gt;, &lt;a class="wiki_link" href="/128_81"&gt;128/81&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;m6&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Gray minor sixth&lt;br /&gt;
@@ Line 1,369: / Line 1,441: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;28&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;28&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;819.51&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;819.51&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/8_5"&gt;8/5&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/8_5"&gt;8/5&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;^m6&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Red minor sixth&lt;br /&gt;
@@ Line 1,385: / Line 1,459: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;29&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;29&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;848.78&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;848.78&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/18_11"&gt;18/11&lt;/a&gt;, &lt;a class="wiki_link" href="/44_27"&gt;44/27&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/18_11"&gt;18/11&lt;/a&gt;, &lt;a class="wiki_link" href="/44_27"&gt;44/27&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;~6&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Neutral sixth&lt;br /&gt;
@@ Line 1,401: / Line 1,477: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;30&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;30&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;878.05&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;878.05&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/5_3"&gt;5/3&lt;/a&gt;&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;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;vM6&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Blue major sixth&lt;br /&gt;
@@ Line 1,417: / Line 1,495: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;31&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;31&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;907.32&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;907.32&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/27_16"&gt;27/16&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/27_16"&gt;27/16&lt;/a&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;M6&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Gray major sixth&lt;br /&gt;
@@ Line 1,433: / Line 1,513: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;32&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;32&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;936.59&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;936.59&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/12_7"&gt;12/7&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/12_7"&gt;12/7&lt;/a&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;^M6&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Red major sixth&lt;br /&gt;
@@ Line 1,449: / Line 1,531: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;33&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;33&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;965.85&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;965.85&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;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/7_4"&gt;7/4&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;vm7&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Blue minor seventh&lt;br /&gt;
@@ Line 1,465: / Line 1,549: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;34&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;34&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;995.12&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;995.12&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/16_9"&gt;16/9&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/16_9"&gt;16/9&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;m7&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Gray minor seventh&lt;br /&gt;
@@ Line 1,481: / Line 1,567: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;35&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;35&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1024.39&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;1024.39&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/9_5"&gt;9/5&lt;/a&gt;, &lt;a class="wiki_link" href="/20_11"&gt;20/11&lt;/a&gt;&lt;br /&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="/20_11"&gt;20/11&lt;/a&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;^m7&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Red minor seventh&lt;br /&gt;
@@ Line 1,497: / Line 1,585: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;36&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;36&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1053.66&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;1053.66&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/11_6"&gt;11/6&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/11_6"&gt;11/6&lt;/a&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;~7&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Neutral seventh&lt;br /&gt;
@@ Line 1,513: / Line 1,603: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;37&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;37&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;1082.93&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1082.93&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;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/15_8"&gt;15/8&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;vM7&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Blue major seventh&lt;br /&gt;
@@ Line 1,529: / Line 1,621: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;38&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;38&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1112.20&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;1112.20&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/40_21"&gt;40/21&lt;/a&gt;, &lt;a class="wiki_link" href="/21_11"&gt;21/11&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/40_21"&gt;40/21&lt;/a&gt;, &lt;a class="wiki_link" href="/21_11"&gt;21/11&lt;/a&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;M7&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Gray major seventh&lt;br /&gt;
@@ Line 1,545: / Line 1,639: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;39&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;39&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1141.46&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;1141.46&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/48_25"&gt;48/25&lt;/a&gt;, &lt;a class="wiki_link" href="/27_14"&gt;27/14&lt;/a&gt;, &lt;a class="wiki_link" href="/64_33"&gt;64/33&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/48_25"&gt;48/25&lt;/a&gt;, &lt;a class="wiki_link" href="/27_14"&gt;27/14&lt;/a&gt;, &lt;br /&gt;
+&lt;a class="wiki_link" href="/64_33"&gt;64/33&lt;/a&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;^M7&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Red major seventh&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;to&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;40&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;40&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1170.73&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;1170.73&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;a class="wiki_link" href="/160_81"&gt;160/81&lt;/a&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/160_81"&gt;160/81&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Blue octave&lt;br /&gt;
+        &lt;td style="text-align: center;"&gt;v8&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;da&lt;br /&gt;
+         &lt;td&gt;Blue octave&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td&gt;da&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-     &lt;/tr&gt;
+        &lt;td&gt;&lt;br /&gt;
-&lt;/table&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: center;"&gt;41&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;1200&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;2/1&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;P8&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;do&lt;br /&gt;
+&lt;/td&gt;
+         &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+         &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+     &lt;/tr&gt;
+&lt;/table&gt;
+&lt;br /&gt;
+edo chord names using ups and downs:&lt;br /&gt;
+-10-20 = D F Ab = Ddim = &amp;quot;D dim&amp;quot;&lt;br /&gt;
+-10-21 = D F Ab^ = Ddim(^5) = &amp;quot;D dim up-five&amp;quot;&lt;br /&gt;
+-10-22 = D F Avv = Dm(vv5) = &amp;quot;D minor double-down five&amp;quot;, or possibly Ddim(^^5)&lt;br /&gt;
+-10-23 = D F Av = Dm(v5) = &amp;quot;D minor down-five&amp;quot;&lt;br /&gt;
+-10-24 = D F A = Dm = &amp;quot;D minor&amp;quot;&lt;br /&gt;
+-11-24 = D F^ A = D.^m = &amp;quot;D upminor&amp;quot;&lt;br /&gt;
+-12-24 = D F^^ A = D.~ = &amp;quot;D mid&amp;quot;&lt;br /&gt;
+-13-24 = D F#v A = D.v = &amp;quot;D downmajor&amp;quot; or &amp;quot;D dot down&amp;quot;&lt;br /&gt;
+-14-24 = D F# A = D = &amp;quot;D&amp;quot; or &amp;quot;D major&amp;quot;&lt;br /&gt;
+-14-25 = D F# A^ = D(^5) = &amp;quot;D up-five&amp;quot;&lt;br /&gt;
+-14-26 = D F# A^^ = D(^^5) = &amp;quot;D double-up-five&amp;quot;, or possibly Daug(vv5)&lt;br /&gt;
+-14-27 = D F# A#v = Daug(v5) = &amp;quot;D aug down-five&amp;quot;&lt;br /&gt;
+-14-28 = D F# A# is Daug = &amp;quot;D aug&amp;quot;&lt;br /&gt;
+etc.&lt;br /&gt;
+For a more complete list, see &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation#Chord%20names%20in%20other%20EDOs"&gt;Ups and Downs Notation - Chord names in other EDOs&lt;/a&gt;.&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:17:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Intervals-Selected just intervals by error"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:17 --&gt;Selected just intervals by error&lt;/h2&gt;
@@ Line 1,738: / Line 1,872: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:19:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="Instruments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:19 --&gt;Instruments&lt;/h1&gt;
-  &lt;!-- ws:start:WikiTextLocalImageRule:2531:&amp;lt;img src=&amp;quot;/file/view/Ron_Sword_with_a_41ET_Guitar.jpg/221056094/Ron_Sword_with_a_41ET_Guitar.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/Ron_Sword_with_a_41ET_Guitar.jpg/221056094/Ron_Sword_with_a_41ET_Guitar.jpg" alt="Ron_Sword_with_a_41ET_Guitar.jpg" title="Ron_Sword_with_a_41ET_Guitar.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:2531 --&gt;&lt;br /&gt;
+  &lt;!-- ws:start:WikiTextLocalImageRule:2633:&amp;lt;img src=&amp;quot;/file/view/Ron_Sword_with_a_41ET_Guitar.jpg/221056094/Ron_Sword_with_a_41ET_Guitar.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/Ron_Sword_with_a_41ET_Guitar.jpg/221056094/Ron_Sword_with_a_41ET_Guitar.jpg" alt="Ron_Sword_with_a_41ET_Guitar.jpg" title="Ron_Sword_with_a_41ET_Guitar.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:2633 --&gt;&lt;br /&gt;
 &lt;em&gt;41-EDO Classical guitar, by Ron Sword.&lt;/em&gt;&lt;br /&gt;
 &lt;br /&gt;
@@ Line 2,826: / Line 2,960: @@
 &lt;!-- ws:start:WikiTextHeadingRule:25:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="Nonoctave Temperaments-Notation"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:25 --&gt;Notation&lt;/h2&gt;
   &lt;br /&gt;
-A red-note/blue-note system, similar to the one proposed for &lt;a class="wiki_link" href="/36edo"&gt;36edo&lt;/a&gt;, is one option for notating 41edo. We have the &amp;quot;white key&amp;quot; albitonic notes A-G (7 in total), the &amp;quot;black key&amp;quot; sharps and flats (10 in total), a &amp;quot;red&amp;quot; and &amp;quot;blue&amp;quot; version of each albitonic note (14 in total), a &amp;quot;red&amp;quot; (dark red?) version of each sharp and a &amp;quot;blue&amp;quot; (dark blue?) version of each flat (10 in total), adding up to 41. This would result in quite a colorful keyboard! Note that there are no red flats or blue sharps. Using this nomenclature the notes are:&lt;br /&gt;
+A red-note/blue-note system, similar to the one proposed for &lt;a class="wiki_link" href="/36edo"&gt;36edo&lt;/a&gt;, is one option for notating 41edo. (This is separate from and not compatible with Kite's &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Kite%27s%20color%20notation"&gt;color notation&lt;/a&gt;.) We have the &amp;quot;white key&amp;quot; albitonic notes A-G (7 in total), the &amp;quot;black key&amp;quot; sharps and flats (10 in total), a &amp;quot;red&amp;quot; and &amp;quot;blue&amp;quot; version of each albitonic note (14 in total), a &amp;quot;red&amp;quot; (dark red?) version of each sharp and a &amp;quot;blue&amp;quot; (dark blue?) version of each flat (10 in total), adding up to 41. This would result in quite a colorful keyboard! Note that there are no red flats or blue sharps. Using this nomenclature the notes are:&lt;br /&gt;
 &lt;br /&gt;
 A, red A, blue Bb, Bb, A#, red A#, blue B, B, red B, blue C, C, red C, blue Db, Db, C#, red C#, blue D, D, red D, blue Eb, Eb, D#, red D#, blue E, E, red E, blue F, F, red F, blue Gb, Gb, F#, red F#, blue G, G, red G, blue Ab, Ab, G#, red G#, blue A, A.&lt;br /&gt;
@@ Line 2,834: / Line 2,968: @@
 The step size of 41edo is small enough that the smallest interval (the &amp;quot;red/blue unison&amp;quot;, seventh-tone, comma, diesis or whatever you want to call it) is actually fairly consonant with most timbres; it resembles a &amp;quot;noticeably out of tune unison&amp;quot; rather than a minor second, and has its own distinct character and appeal.&lt;br /&gt;
 &lt;br /&gt;
-edo can be notated with &lt;a class="wiki_link" href="/Ups%20and%20Downs%20Notation"&gt;ups and downs&lt;/a&gt; like so:&lt;br /&gt;
-Black and white keys: C * * * * * * D * * * * * * E * * F * * * * * * G * * * * * * A * * * * * * B * * C&lt;br /&gt;
-P1 ^P1 vm2 m2 ^m2 ~2 vM2 M2 ^M2 vm3 m3 ^m3 ~3 vM3 M3 ^M3 vP4 P4 ^P4 ^^P4 d5 ^d5 vvP5 vP5 P5 etc.&lt;br /&gt;
-In C: C C^ Dbv Db Db^ D D^ Ebv Eb Eb^ E E^ Fv F F^ F# Gb Gb^ G etc.&lt;br /&gt;
-edo chord names:&lt;br /&gt;
--10-20 = D F Ab = Ddim = &amp;quot;D dim&amp;quot;&lt;br /&gt;
--10-21 = D F Ab^ = Ddim(^5) = &amp;quot;D dim up-five&amp;quot;&lt;br /&gt;
--10-22 = D F Avv = Dm(vv5) = &amp;quot;D minor double-down five&amp;quot;, or possibly Ddim(^^5)&lt;br /&gt;
--10-23 = D F Av = Dm(v5) = &amp;quot;D minor down-five&amp;quot;&lt;br /&gt;
--10-24 = D F A = Dm = &amp;quot;D minor&amp;quot;&lt;br /&gt;
--11-24 = D F^ A = D.^m = &amp;quot;D upminor&amp;quot;&lt;br /&gt;
--12-24 = D F^^ A = D.~ = &amp;quot;D mid&amp;quot;&lt;br /&gt;
--13-24 = D F#v A = D.v = &amp;quot;D downmajor&amp;quot; or &amp;quot;D dot down&amp;quot;&lt;br /&gt;
--14-24 = D F# A = D = &amp;quot;D&amp;quot; or &amp;quot;D major&amp;quot;&lt;br /&gt;
--14-25 = D F# A^ = D(^5) = &amp;quot;D up-five&amp;quot;&lt;br /&gt;
--14-26 = D F# A^^ = D(^^5) = &amp;quot;D double-up-five&amp;quot;, or possibly Daug(vv5)&lt;br /&gt;
--14-27 = D F# A#v = Daug(v5) = &amp;quot;D aug down-five&amp;quot;&lt;br /&gt;
--14-28 = D F# A# is Daug = &amp;quot;D aug&amp;quot;&lt;br /&gt;
-etc.&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:27:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc9"&gt;&lt;a name="Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:27 --&gt;Music&lt;/h1&gt;
@@ Line 2,858: / Line 2,973: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:29:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc10"&gt;&lt;a name="Links"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:29 --&gt;Links&lt;/h1&gt;
-  &lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/41_equal_temperament" rel="nofollow"&gt;Wikipedia article on 41edo&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Magic22%20as%20srutis#magic22assrutis"&gt;Magic22 as srutis&lt;/a&gt; describes a possible use of 41edo for &lt;a class="wiki_link" href="/indian"&gt;indian&lt;/a&gt; music.&lt;/li&gt;&lt;li&gt;see also &lt;a class="wiki_link" href="/Magic%20family"&gt;Magic family&lt;/a&gt;&lt;/li&gt;&lt;li&gt;Sword, Ron. &lt;a class="wiki_link_ext" href="http://www.ronsword.com" rel="nofollow" target="_blank"&gt;&amp;quot;Tetracontamonophonic Scales for Guitar&amp;quot;&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;!-- ws:start:WikiTextReferencesRule:3838: --&gt;&lt;hr class="references" /&gt;&lt;ol class="references"&gt;
+  &lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/41_equal_temperament" rel="nofollow"&gt;Wikipedia article on 41edo&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Magic22%20as%20srutis#magic22assrutis"&gt;Magic22 as srutis&lt;/a&gt; describes a possible use of 41edo for &lt;a class="wiki_link" href="/indian"&gt;indian&lt;/a&gt; music.&lt;/li&gt;&lt;li&gt;see also &lt;a class="wiki_link" href="/Magic%20family"&gt;Magic family&lt;/a&gt;&lt;/li&gt;&lt;li&gt;Sword, Ron. &lt;a class="wiki_link_ext" href="http://www.ronsword.com" rel="nofollow" target="_blank"&gt;&amp;quot;Tetracontamonophonic Scales for Guitar&amp;quot;&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;!-- ws:start:WikiTextReferencesRule:4000: --&gt;&lt;hr class="references" /&gt;&lt;ol class="references"&gt;
 &lt;li id="cite_note-1"&gt;&lt;a href="#cite_ref-1"&gt;^&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://x31eq.com/schismic.htm" rel="nofollow"&gt;&amp;quot;Schismic Temperaments&amp;quot;&lt;/a&gt; at x31eq.com the website of &lt;a class="wiki_link" href="/Graham%20Breed"&gt;Graham Breed&lt;/a&gt;&lt;/li&gt;
 &lt;li id="cite_note-2"&gt;&lt;a href="#cite_ref-2"&gt;^&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://x31eq.com/decimal_lattice.htm" rel="nofollow"&gt;&amp;quot;Lattices with Decimal Notation&amp;quot;&lt;/a&gt; at x31eq.com&lt;/li&gt;
 &lt;li id="cite_note-3"&gt;&lt;a href="#cite_ref-3"&gt;^&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Schismatic_temperament" rel="nofollow"&gt;Schismatic temperament&lt;/a&gt;&lt;/li&gt;
 &lt;li id="cite_note-4"&gt;&lt;a href="#cite_ref-4"&gt;^&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Magic_temperament" rel="nofollow"&gt;Magic temperament&lt;/a&gt;&lt;/li&gt;
-&lt;/ol&gt;&lt;!-- ws:end:WikiTextReferencesRule:3838 --&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
+&lt;/ol&gt;&lt;!-- ws:end:WikiTextReferencesRule:4000 --&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>