Pergen names: Difference between revisions

Line 1:

<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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

: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2017-11-~~20 23~~:54:11 UTC</tt>.

: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2017-11-21 02:56:33 UTC</tt>.

: The original revision id was <tt>~~622073789~~</tt>.

: The original revision id was <tt>622079045</tt>.

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

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Line 117:

||~ pergen set ||~ split interval(s) ||~ enharmonic

interval(s) ||~ equiva-

lence(s) ||~ genchain(s) ||~ ~~example~~

lence(s) ||~ genchain(s) ||~ examples ||~ compatible edos

~~temperament~~ ||~ compatible edos

(12-31 only) ||

||= {P8, P5} ||= none ||= P1 ||= none ||= C - G ||= meantone ||= 12, 13b, 14*, 15*, 16,

Line 125:

Line 124:

27, 28*, 29, 30*, 31 ||

||~ halves ||~ ||~ ||~ ||~ ||~ ||~ ||

||= {P8/2, P5} ||= P8/2 = vA4 = ^d5 ||= ^^d2 ||= C^^ = B# ||= C - F#v=Gb^ - C ||= srutal, ^1 = 81/80 ||= 12, 20*, 22, 24*, 30* ||

||= {P8/2, P5} ||= P8/2 = vA4 = ^d5 ||= ^^d2 ||= C^^ = B# ||= C - F#v=Gb^ - C ||= srutal

^1 = 81/80 ||= 12, 20*, 22, 24*, 30* ||

||= " ||= P8/2 = ^A4 = vd5

(if 5th < 700¢) ||= vvd2 ||= C^^ = Db ||= C - F#^=Gbv - C ||= large deep red,

(if 5th < 700¢) ||= vvd2 ||= C^^ = Db ||= C - F#^=Gbv - C ||= large deep red

^1 = 64/63 ||= 12, 14, 16, 18b,

24*, 26, 28* ||

||= " ||= P8/2 = ^P4 = vP5 ||= vvM2 ||= C^^ = D ||= C - F^=Gv - C ||= ~~(is this needed?)~~ ||= ||

||= " ||= P8/2 = ^P4 = vP5 ||= vvM2 ||= C^^ = D ||= C - F^=Gv - C ||= ||= ||

||= {P8, P4/2} ||= P4/2 = ^M2 = vm3 ||= vvm2 ||= C^^ = Db ||= C - D^=Ebv - F ||= semaphore ||= ||

||= " ||= P4/2 = vA2 = ^d3 ||= ^^dd2 ||= C^^ = B## ||= C - D#v=Ebb^ - F ||= ||= ||

||= " ||= P4/2 = ^A2 = vd3 ||= vvdd2 ||= C^^ = Db3 ||= C - D#^=Ebv - F ||= ||= ||

||= " ||= P4/2 = ^A2 = vd3

||= {P8, P5/2} ||= P5/2 = ^m3 = vM3 ||= vvA1 ||= C^^ = C# ||= C - Eb^=Ev - G ||= mohajira,

(if 5th < 11\19) ||= vvdd2 ||= C^^ = Db3 ||= C - D#^=Ebv - F ||= ||= ||

^1 ~~= j1~~ = 33/32 ||= 14*, 17, 18b, 20*, 21*,

||= {P8, P5/2} ||= P5/2 = ^m3 = vM3 ||= vvA1 ||= C^^ = C# ||= C - Eb^=Ev - G ||= mohajira

^1 = 33/32 ||= 14*, 17, 18b, 20*, 21*,

24, 27, 28*, 30*, 31 ||

||= {P8/2, P4/2} ||= P4/2 = /M2 = \m3,

Line 148:

Line 149:

C - Eb^=Ev - G,

C - F#v/=Gb^\ - C,

C - F^/=Gv\ - C ||= bb&aaT,

C - F^/=Gv\ - C ||= bb&aaT

^1 ~~= j1~~ = 33/32,

^1 = 33/32,

/1 ~~= r1~~ = 64/63 ||= 14, 18b, 20*,

/1 = 64/63 ||= 14, 18b, 20*,

24, 28*, 30* ||

||= " ||= P8/2 = vA4 = ^d5,

Line 160:

Line 161:

C^^// = C# ||= C - F#v=Gb^ - C,

C - D/=Eb\ - F,

C - Eb^/=Ev\ - G ||= sgg&bbT,

C - Eb^/=Ev\ - G ||= sgg&bbT

^1 ~~= g1~~ = 81/80,

^1 = 81/80,

/1 ~~= r1~~ = 64/63 ||= " ||

/1 = 64/63 ||= " ||

||= " ||= P8/2 = vA4 = ^d5,

P5/2 = /m3 = \M3,

Line 171:

Line 172:

C^^// = B## ||= C - F#v=Gb^ - C,

C - Eb/=E\ - G,

C - Dv/=Eb^\ - F ||= sgg&aaT,

C - Dv/=Eb^\ - F ||= sgg&aaT

^1 ~~= g1~~ = 81/80,

^1 = 81/80,

/1 ~~= j1~~ = 33/32 ||= " ||

/1 = 33/32 ||= " ||

||~ thirds ||~ ||~ ||~ ||~ ||~ ||~ ||

||= {P8/3, P5} ||= P8/3 = vM3 = ^^d4

(^/v ~~may reverse~~) ||= ^3d2 ||= C^3 = B# ||= C - Ev - Ab^ - C ||= ||= 12, 15, 18b*, 21, 24*,

(swap ^/v if 5th<700¢) ||= ^3d2 ||= C^3 = B# ||= C - Ev - Ab^ - C ||= ||= 12, 15, 18b*, 21, 24*,

27, 30* ||

||= {P8, P4/3} ||= P4/3 = ^^m2 = vM2 ||= v3A1 ||= C^3 = C# ||= C - Dv - Eb^ - F ||= ||= 13b, 14*, 15, 21*,

Line 187:

Line 188:

||= {P8/3, P5/2} ||= ||= ||= ||= ||= ||= 18b, 24, 30 ||

||= {P8/2, P4/3} ||= ||= ||= ||= ||= ||= 14, 22, 28*, 30* ||

||= {P8/2, P5/3} ||= ||= ||= ||= ||= ||= 16, 20*, 26, 30* ||

||= {P8/2, P5/3} ||= P8/2 = v3AA4 = ^3dd5

P5/3 = vvA2 = ^4dd3 ||= ^6d32 ||= C^6 = B#3 ||= C - Fxv3=Gbb^3 C

C - D#vv - Fb^^ - G ||= ||= 16, 20*, 26, 30* ||

||= " ||= P8/2 = vA4 = ^d5,

P5/3 = /M2 = \\m3 ||= ^^d2,

\\\m2 ||= C^^ = B#,

C/// = Db ||= C - F#v=Gb^ - C,

C - /D - \F - G ||= ||= " ||

||= {P8/2, P11/3} ||= ||= ||= ||= ||= ||= same as {P8/2, P4/3} ||

||= {P8/3, P4/3} ||= ||= ||= ||= ||= ||= 15, 21, 30* ||

||~ quarters ||~ ||~ ||~ ||~ ||~ ||~ ||

||= {P8/4, P5} ||= P8/4 = vm3 = ^3A2

(^/v ~~may reverse~~) ||= v4d2 ||= C^4 = Dbb ||= C Ebv Gbvv A^ C ||= diminished,

(swap ^/v if 5th<700¢) ||= v4d2 ||= C^4 = Dbb ||= C Ebv Gbvv A^ C ||= diminished,

^1 = 81/80 ||= 12, 16, 20, 24*, 28 ||

||= {P8, P4/4} ||= P4/4 = ^m2 = v3AA1 ||= ^4dd2 ||= C^4 = B## ||= C Db^ Ebb^^ Ev F ||= ||= ||

Line 209:

Line 217:

(to be continued)</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>pergen names</title></head><body><a href="#Definition">Definition</a> | <a href="#Derivation">Derivation</a> | <a href="#Applications">Applications</a> | <a href="#x^/P4"> ^/P4 </a> | <a href="#B# ||"> B# ||</a> | <a href="#C# ||"> C# ||</a> | <a href="#Db ||"> Db ||</a> | <a href="#B## ||"> B## ||</a> | <a href="#D ||"> D ||</a> | <a href="#Dbb ||"> Dbb ||</a> | <a href="#B## ||"> B## ||</a> | <a href="#C# ||"> C# ||</a> | <a href="#Eb3 ||"> Eb3 ||</a> | <a href="#Db ||"> Db ||</a>

<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>pergen names</title></head><body><a href="#Definition">Definition</a> | <a href="#Derivation">Derivation</a> | <a href="#Applications">Applications</a> | <a href="#x^/P4"> ^/P4 </a> | <a href="#B# ||"> B# ||</a> | <a href="#C# ||"> C# ||</a> | <a href="#Db ||"> Db ||</a> | <a href="#B## ||"> B## ||</a> | <a href="#D ||"> D ||</a> | <a href="#B#3 ||"> B#3 ||</a> | <a href="#Dbb ||"> Dbb ||</a> | <a href="#B## ||"> B## ||</a> | <a href="#C# ||"> C# ||</a> | <a href="#Eb3 ||"> Eb3 ||</a> | <a href="#Db ||"> Db ||</a>

<h1 id="toc0"><a name="Definition"></a>Definition</h1>

<h1 id="toc0"><a name="Definition"></a>Definition</h1>

A pergen set (pronounced &quot;peer-gen&quot;) is a way of identifying a rank-2 or rank-3 regular temperament solely by its period and generator(s). For any temperament, there are many possible periods and generators. The pergen set is chosen to use the fewest, and smallest, prime factors possible. Fractions are allowed, e.g. half-octave, but avoided if possible.

Line 753:

Line 761:

<th>genchain(s)

</th>

<th>~~example ~~

<th>examples

~~temperament~~

</th>

<th>compatible edos

Line 806:

Line 813:

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

</td>

<td style="text-align: center;">srutal, ^1 = 81/80

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

^1 = 81/80

</td>

<td style="text-align: center;">12, 20*, 22, 24*, 30*

Line 823:

Line 831:

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

</td>

<td style="text-align: center;">large deep red,

<td style="text-align: center;">large deep red

^1 = 64/63

</td>

Line 841:

Line 849:

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

</td>

<td style="text-align: center;">~~(is this needed?)~~

</td>

Line 882:

Line 890:

</td>

<td style="text-align: center;">P4/2 = ^A2 = vd3

(if 5th &lt; 11\19)

</td>

<td style="text-align: center;">vvdd2

Line 905:

Line 914:

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

</td>

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

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

^1 ~~= j1~~ = 33/32

^1 = 33/32

</td>

<td style="text-align: center;">14*, 17, 18b, 20*, 21*,

Line 934:

Line 943:

C - F^/=Gv\ - C

</td>

<td style="text-align: center;">bb&amp;aaT,

<td style="text-align: center;">bb&amp;aaT

^1 ~~= j1~~ = 33/32,

^1 = 33/32,

/1 ~~= r1~~ = 64/63

/1 = 64/63

</td>

<td style="text-align: center;">14, 18b, 20*,

Line 961:

Line 970:

C - Eb^/=Ev\ - G

</td>

<td style="text-align: center;">sgg&amp;bbT,

<td style="text-align: center;">sgg&amp;bbT

^1 ~~= g1~~ = 81/80,

^1 = 81/80,

/1 ~~= r1~~ = 64/63

/1 = 64/63

</td>

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

Line 987:

Line 996:

C - Dv/=Eb^\ - F

</td>

<td style="text-align: center;">sgg&amp;aaT,

<td style="text-align: center;">sgg&amp;aaT

^1 ~~= g1~~ = 81/80,

^1 = 81/80,

/1 ~~= j1~~ = 33/32

/1 = 33/32

</td>

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

Line 1,014:

Line 1,023:

</td>

<td style="text-align: center;">P8/3 = vM3 = ^^d4

(^/v ~~may reverse~~)

(swap ^/v if 5th&lt;700¢)

</td>

<td style="text-align: center;">^3d2

Line 1,144:

Line 1,153:

<tr>

<td style="text-align: center;">{P8/2, P5/3}

</td>

<td style="text-align: center;">P8/2 = v3AA4 = ^3dd5

P5/3 = vvA2 = ^4dd3

</td>

<td style="text-align: center;">^6d32

</td>

<td style="text-align: center;">C^6 <h1 id="toc9"><a name="B#3 ||"></a> B#3

</td>

C - Fxv3=Gbb^3 CC - D#vv - Fb^^ - G

</td>

</td>

<td style="text-align: center;">16, 20*, 26, 30*

</td>

</tr>

<tr>

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

</td>

<td style="text-align: center;">P8/2 = vA4 = ^d5,

P5/3 = /M2 = \\m3

</td>

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

\\\m2

</td>

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

C/// = Db

</td>

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

C - /D - \F - G

</td>

</td>

<td style="text-align: center;">16, 20*, 26, 30*

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

</td>

</tr>

Line 1,210:

Line 1,241:

</td>

<td style="text-align: center;">P8/4 = vm3 = ^3A2

(^/v ~~may reverse~~)

(swap ^/v if 5th&lt;700¢)

</td>

<td style="text-align: center;">v4d2

</td>

<td style="text-align: center;">C^4 <h1 id="~~toc9~~"><a name="Dbb ||"></a> Dbb

<td style="text-align: center;">C^4 <h1 id="toc10"><a name="Dbb ||"></a> Dbb

</td>

Line 1,231:

Line 1,262:

<td style="text-align: center;">^4dd2

</td>

<td style="text-align: center;">C^4 <h1 id="~~toc10~~"><a name="B## ||"></a> B##

<td style="text-align: center;">C^4 <h1 id="toc11"><a name="B## ||"></a> B##

</td>

Line 1,247:

Line 1,278:

<td style="text-align: center;">v4A1

</td>

<td style="text-align: center;">C^4 <h1 id="~~toc11~~"><a name="C# ||"></a> C#

<td style="text-align: center;">C^4 <h1 id="toc12"><a name="C# ||"></a> C#

</td>

Line 1,263:

Line 1,294:

<td style="text-align: center;">v4dd3

</td>

<td style="text-align: center;">C^4 <h1 id="~~toc12~~"><a name="Eb3 ||"></a> Eb3

<td style="text-align: center;">C^4 <h1 id="toc13"><a name="Eb3 ||"></a> Eb3

</td>

Line 1,279:

Line 1,310:

<td style="text-align: center;">v4m2

</td>

<td style="text-align: center;">C^4 <h1 id="~~toc13~~"><a name="Db ||"></a> Db

<td style="text-align: center;">C^4 <h1 id="toc14"><a name="Db ||"></a> Db

</td>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2017-11-20 23:54:11 UTC</tt>.<br>
+: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2017-11-21 02:56:33 UTC</tt>.<br>
-: The original revision id was <tt>622073789</tt>.<br>
+: The original revision id was <tt>622079045</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 117: / Line 117: @@
 ||~ pergen set ||~ split interval(s) ||~ enharmonic
 interval(s) ||~ equiva-
-lence(s) ||~ genchain(s) ||~ example
+lence(s) ||~ genchain(s) ||~ examples ||~ compatible edos
-temperament ||~ compatible edos
 (12-31 only) ||
 ||= {P8, P5} ||= none ||= P1 ||= none ||= C - G ||= meantone ||= 12, 13b, 14*, 15*, 16,
@@ Line 125: / Line 124: @@
 , 28*, 29, 30*, 31 ||
 ||~ halves ||~   ||~   ||~   ||~   ||~   ||~   ||
-||= {P8/2, P5} ||= P8/2 = vA4 = ^d5 ||= ^^d2 ||= C^^ = B# ||= C - F#v=Gb^ - C ||= srutal, ^1 = 81/80 ||= 12, 20*, 22, 24*, 30* ||
+||= {P8/2, P5} ||= P8/2 = vA4 = ^d5 ||= ^^d2 ||= C^^ = B# ||= C - F#v=Gb^ - C ||= srutal
+^1 = 81/80 ||= 12, 20*, 22, 24*, 30* ||
 ||= " ||= P8/2 = ^A4 = vd5
-(if 5th &lt; 700¢) ||= vvd2 ||= C^^ = Db ||= C - F#^=Gbv - C ||= large deep red,
+(if 5th &lt; 700¢) ||= vvd2 ||= C^^ = Db ||= C - F#^=Gbv - C ||= large deep red
 ^1 = 64/63 ||= 12, 14, 16, 18b,
 *, 26, 28* ||
-||= " ||= P8/2 = ^P4 = vP5 ||= vvM2 ||= C^^ = D ||= C - F^=Gv - C ||= (is this needed?) ||=   ||
+||= " ||= P8/2 = ^P4 = vP5 ||= vvM2 ||= C^^ = D ||= C - F^=Gv - C ||=   ||=   ||
 ||= {P8, P4/2} ||= P4/2 = ^M2 = vm3 ||= vvm2 ||= C^^ = Db ||= C - D^=Ebv - F ||= semaphore ||=   ||
 ||= " ||= P4/2 = vA2 = ^d3 ||= ^^dd2 ||= C^^ = B## ||= C - D#v=Ebb^ - F ||=   ||=   ||
-||= " ||= P4/2 = ^A2 = vd3 ||= vvdd2 ||= C^^ = Db&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt; ||= C - D#^=Ebv - F ||=   ||=   ||
+||= " ||= P4/2 = ^A2 = vd3
-||= {P8, P5/2} ||= P5/2 = ^m3 = vM3 ||= vvA1 ||= C^^ = C# ||= C - Eb^=Ev - G ||= mohajira,
+(if 5th &lt; 11\19) ||= vvdd2 ||= C^^ = Db&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt; ||= C - D#^=Ebv - F ||=   ||=   ||
-^1 = j1 = 33/32 ||= 14*, 17, 18b, 20*, 21*,
+||= {P8, P5/2} ||= P5/2 = ^m3 = vM3 ||= vvA1 ||= C^^ = C# ||= C - Eb^=Ev - G ||= mohajira
+^1 = 33/32 ||= 14*, 17, 18b, 20*, 21*,
 , 27, 28*, 30*, 31 ||
 ||= {P8/2, P4/2} ||= P4/2 = /M2 = \m3,
@@ Line 148: / Line 149: @@
 C - Eb^=Ev - G,
 C - F#v/=Gb^\ - C,
-C - F^/=Gv\ - C ||= bb&amp;aaT,
+C - F^/=Gv\ - C ||= bb&amp;aaT
-^1 = j1 = 33/32,
+^1 = 33/32,
-/1 = r1 = 64/63 ||= 14, 18b, 20*,
+/1 = 64/63 ||= 14, 18b, 20*,
 , 28*, 30* ||
 ||= " ||= P8/2 = vA4 = ^d5,
@@ Line 160: / Line 161: @@
 C^^// = C# ||= C - F#v=Gb^ - C,
 C - D/=Eb\ - F,
-C - Eb^/=Ev\ - G ||= sgg&amp;bbT,
+C - Eb^/=Ev\ - G ||= sgg&amp;bbT
-^1 = g1 = 81/80,
+^1 = 81/80,
-/1 = r1 = 64/63 ||= " ||
+/1 = 64/63 ||= " ||
 ||= " ||= P8/2 = vA4 = ^d5,
 P5/2 = /m3 = \M3,
@@ Line 171: / Line 172: @@
 C^^// = B## ||= C - F#v=Gb^ - C,
 C - Eb/=E\ - G,
-C - Dv/=Eb^\ - F ||= sgg&amp;aaT,
+C - Dv/=Eb^\ - F ||= sgg&amp;aaT
-^1 = g1 = 81/80,
+^1 = 81/80,
-/1 = j1 = 33/32 ||= " ||
+/1 = 33/32 ||= " ||
 ||~ thirds ||~   ||~   ||~   ||~   ||~   ||~   ||
 ||= {P8/3, P5} ||= P8/3 = vM3 = ^^d4
-(^/v may reverse) ||= ^&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;d2 ||= C^&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt; = B# ||= &lt;span style="font-family: Arial,Helvetica,sans-serif;"&gt;C - Ev - Ab^ - C&lt;/span&gt; ||=   ||= 12, 15, 18b*, 21, 24*,
+(swap ^/v if 5th&lt;700¢) ||= ^&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;d2 ||= C^&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt; = B# ||= &lt;span style="font-family: Arial,Helvetica,sans-serif;"&gt;C - Ev - Ab^ - C&lt;/span&gt; ||=   ||= 12, 15, 18b*, 21, 24*,
 , 30* ||
 ||= {P8, P4/3} ||= P4/3 = ^^m2 = vM2 ||= v&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;A1 ||= C^&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt; = C# ||= C - Dv - Eb^ - F ||=   ||= 13b, 14*, 15, 21*,
@@ Line 187: / Line 188: @@
 ||= {P8/3, P5/2} ||=   ||=   ||=   ||=   ||=   ||= 18b, 24, 30 ||
 ||= {P8/2, P4/3} ||=   ||=   ||=   ||=   ||=   ||= 14, 22, 28*, 30* ||
-||= {P8/2, P5/3} ||=   ||=   ||=   ||=   ||=   ||= 16, 20*, 26, 30* ||
+||= {P8/2, P5/3} ||= P8/2 = v&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;AA4 = ^&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;dd5
+P5/3 = vvA2 = ^&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;dd3 ||= ^&lt;span style="vertical-align: super;"&gt;6&lt;/span&gt;d&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;2 ||= C^&lt;span style="vertical-align: super;"&gt;6&lt;/span&gt; = B#&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt; ||= C - F&lt;span style="vertical-align: super;"&gt;x&lt;/span&gt;v&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;=Gbb^&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt; C
+C - D#vv - Fb^^ - G ||=   ||= 16, 20*, 26, 30* ||
+||= " ||= P8/2 = vA4 = ^d5,
+P5/3 = /M2 = \\m3 ||= ^^d2,
+\\\m2 ||= C^^ = B#,
+C/// = Db ||= C - F#v=Gb^ - C,
+C - /D - \F - G ||=   ||= " ||
 ||= {P8/2, P11/3} ||=   ||=   ||=   ||=   ||=   ||= same as {P8/2, P4/3} ||
 ||= {P8/3, P4/3} ||=   ||=   ||=   ||=   ||=   ||= 15, 21, 30* ||
 ||~ quarters ||~   ||~   ||~   ||~   ||~   ||~   ||
 ||= {P8/4, P5} ||= P8/4 = vm3 = ^&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;A2
-(^/v may reverse) ||= v&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;d2 ||= C^&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt; = Dbb ||= C Ebv Gbvv A^ C ||= diminished,
+(swap ^/v if 5th&lt;700¢) ||= v&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;d2 ||= C^&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt; = Dbb ||= C Ebv Gbvv A^ C ||= diminished,
 ^1 = 81/80 ||= 12, 16, 20, 24*, 28 ||
 ||= {P8, P4/4} ||= P4/4 = ^m2 = v&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;AA1 ||= ^&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;dd2 ||= C^&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt; = B## ||= C Db^ Ebb^^ Ev F ||=   ||=   ||
@@ Line 209: / Line 217: @@
 (to be continued)</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;pergen names&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:28:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:28 --&gt;&lt;!-- ws:start:WikiTextTocRule:29: --&gt;&lt;a href="#Definition"&gt;Definition&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:29 --&gt;&lt;!-- ws:start:WikiTextTocRule:30: --&gt; | &lt;a href="#Derivation"&gt;Derivation&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:30 --&gt;&lt;!-- ws:start:WikiTextTocRule:31: --&gt; | &lt;a href="#Applications"&gt;Applications&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:31 --&gt;&lt;!-- ws:start:WikiTextTocRule:32: --&gt; | &lt;a href="#x^/P4"&gt; ^/P4 &lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:32 --&gt;&lt;!-- ws:start:WikiTextTocRule:33: --&gt; | &lt;a href="#B# ||"&gt; B# ||&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:33 --&gt;&lt;!-- ws:start:WikiTextTocRule:34: --&gt; | &lt;a href="#C# ||"&gt; C# ||&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:34 --&gt;&lt;!-- ws:start:WikiTextTocRule:35: --&gt; | &lt;a href="#Db ||"&gt; Db ||&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:35 --&gt;&lt;!-- ws:start:WikiTextTocRule:36: --&gt; | &lt;a href="#B## ||"&gt; B## ||&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:36 --&gt;&lt;!-- ws:start:WikiTextTocRule:37: --&gt; | &lt;a href="#D ||"&gt; D ||&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:37 --&gt;&lt;!-- ws:start:WikiTextTocRule:38: --&gt; | &lt;a href="#Dbb ||"&gt; Dbb ||&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:38 --&gt;&lt;!-- ws:start:WikiTextTocRule:39: --&gt; | &lt;a href="#B## ||"&gt; B## ||&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:39 --&gt;&lt;!-- ws:start:WikiTextTocRule:40: --&gt; | &lt;a href="#C# ||"&gt; C# ||&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:40 --&gt;&lt;!-- ws:start:WikiTextTocRule:41: --&gt; | &lt;a href="#Eb3 ||"&gt; Eb3 ||&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:41 --&gt;&lt;!-- ws:start:WikiTextTocRule:42: --&gt; | &lt;a href="#Db ||"&gt; Db ||&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:42 --&gt;&lt;!-- ws:start:WikiTextTocRule:43: --&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;pergen names&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:30:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:30 --&gt;&lt;!-- ws:start:WikiTextTocRule:31: --&gt;&lt;a href="#Definition"&gt;Definition&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:31 --&gt;&lt;!-- ws:start:WikiTextTocRule:32: --&gt; | &lt;a href="#Derivation"&gt;Derivation&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:32 --&gt;&lt;!-- ws:start:WikiTextTocRule:33: --&gt; | &lt;a href="#Applications"&gt;Applications&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:33 --&gt;&lt;!-- ws:start:WikiTextTocRule:34: --&gt; | &lt;a href="#x^/P4"&gt; ^/P4 &lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:34 --&gt;&lt;!-- ws:start:WikiTextTocRule:35: --&gt; | &lt;a href="#B# ||"&gt; B# ||&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:35 --&gt;&lt;!-- ws:start:WikiTextTocRule:36: --&gt; | &lt;a href="#C# ||"&gt; C# ||&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:36 --&gt;&lt;!-- ws:start:WikiTextTocRule:37: --&gt; | &lt;a href="#Db ||"&gt; Db ||&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:37 --&gt;&lt;!-- ws:start:WikiTextTocRule:38: --&gt; | &lt;a href="#B## ||"&gt; B## ||&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:38 --&gt;&lt;!-- ws:start:WikiTextTocRule:39: --&gt; | &lt;a href="#D ||"&gt; D ||&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:39 --&gt;&lt;!-- ws:start:WikiTextTocRule:40: --&gt; | &lt;a href="#B#3 ||"&gt; B#3 ||&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:40 --&gt;&lt;!-- ws:start:WikiTextTocRule:41: --&gt; | &lt;a href="#Dbb ||"&gt; Dbb ||&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:41 --&gt;&lt;!-- ws:start:WikiTextTocRule:42: --&gt; | &lt;a href="#B## ||"&gt; B## ||&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:42 --&gt;&lt;!-- ws:start:WikiTextTocRule:43: --&gt; | &lt;a href="#C# ||"&gt; C# ||&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:43 --&gt;&lt;!-- ws:start:WikiTextTocRule:44: --&gt; | &lt;a href="#Eb3 ||"&gt; Eb3 ||&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:44 --&gt;&lt;!-- ws:start:WikiTextTocRule:45: --&gt; | &lt;a href="#Db ||"&gt; Db ||&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:45 --&gt;&lt;!-- ws:start:WikiTextTocRule:46: --&gt;
-&lt;!-- ws:end:WikiTextTocRule:43 --&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Definition"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;u&gt;&lt;strong&gt;Definition&lt;/strong&gt;&lt;/u&gt;&lt;/h1&gt;
+&lt;!-- ws:end:WikiTextTocRule:46 --&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Definition"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;u&gt;&lt;strong&gt;Definition&lt;/strong&gt;&lt;/u&gt;&lt;/h1&gt;
   &lt;br /&gt;
 A &lt;strong&gt;pergen&lt;/strong&gt; set (pronounced &amp;quot;peer-gen&amp;quot;) is a way of identifying a rank-2 or rank-3 regular temperament solely by its period and generator(s). For any temperament, there are many possible periods and generators. The pergen set is chosen to use the fewest, and smallest, prime factors possible. Fractions are allowed, e.g. half-octave, but avoided if possible.&lt;br /&gt;
@@ Line 753: / Line 761: @@
          &lt;th&gt;genchain(s)&lt;br /&gt;
 &lt;/th&gt;
-         &lt;th&gt;example&lt;br /&gt;
+         &lt;th&gt;examples&lt;br /&gt;
-temperament&lt;br /&gt;
 &lt;/th&gt;
          &lt;th&gt;compatible edos&lt;br /&gt;
@@ Line 806: / Line 813: @@
          &lt;td style="text-align: center;"&gt;C - F#v=Gb^ - C&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;srutal, ^1 = 81/80&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;srutal &lt;br /&gt;
+^1 = 81/80&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;12, 20*, 22, 24*, 30*&lt;br /&gt;
@@ Line 823: / Line 831: @@
          &lt;td style="text-align: center;"&gt;C - F#^=Gbv - C&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;large deep red,&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;large deep red&lt;br /&gt;
 ^1 = 64/63&lt;br /&gt;
 &lt;/td&gt;
@@ Line 841: / Line 849: @@
          &lt;td style="text-align: center;"&gt;C - F^=Gv - C&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;(is this needed?)&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
@@ Line 882: / Line 890: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;P4/2 = ^A2 = vd3&lt;br /&gt;
+(if 5th &amp;lt; 11\19)&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;vvdd2&lt;br /&gt;
@@ Line 905: / Line 914: @@
          &lt;td style="text-align: center;"&gt;C - Eb^=Ev - G&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;mohajira,&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;mohajira&lt;br /&gt;
-^1 = j1 = 33/32&lt;br /&gt;
+^1 = 33/32&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;14*, 17, 18b, 20*, 21*,&lt;br /&gt;
@@ Line 934: / Line 943: @@
 C - F^/=Gv\ - C&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;bb&amp;amp;aaT,&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;bb&amp;amp;aaT&lt;br /&gt;
-^1 = j1 = 33/32,&lt;br /&gt;
+^1 = 33/32,&lt;br /&gt;
-/1 = r1 = 64/63&lt;br /&gt;
+/1 = 64/63&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;14, 18b, 20*,&lt;br /&gt;
@@ Line 961: / Line 970: @@
 C - Eb^/=Ev\ - G&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;sgg&amp;amp;bbT,&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;sgg&amp;amp;bbT&lt;br /&gt;
-^1 = g1 = 81/80,&lt;br /&gt;
+^1 = 81/80,&lt;br /&gt;
-/1 = r1 = 64/63&lt;br /&gt;
+/1 = 64/63&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&amp;quot;&lt;br /&gt;
@@ Line 987: / Line 996: @@
 C - Dv/=Eb^\ - F&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;sgg&amp;amp;aaT,&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;sgg&amp;amp;aaT&lt;br /&gt;
-^1 = g1 = 81/80,&lt;br /&gt;
+^1 = 81/80,&lt;br /&gt;
-/1 = j1 = 33/32&lt;br /&gt;
+/1 = 33/32&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&amp;quot;&lt;br /&gt;
@@ Line 1,014: / Line 1,023: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;P8/3 = vM3 = ^^d4&lt;br /&gt;
-(^/v may reverse)&lt;br /&gt;
+(swap ^/v if 5th&amp;lt;700¢)&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;^&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;d2&lt;br /&gt;
@@ Line 1,144: / Line 1,153: @@
      &lt;tr&gt;
          &lt;td style="text-align: center;"&gt;{P8/2, P5/3}&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;P8/2 = v&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;AA4 = ^&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;dd5&lt;br /&gt;
+P5/3 = vvA2 = ^&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;dd3&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;^&lt;span style="vertical-align: super;"&gt;6&lt;/span&gt;d&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;2&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;C^&lt;span style="vertical-align: super;"&gt;6&lt;/span&gt;  &lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc9"&gt;&lt;a name="B#3 ||"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt; B#&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;/h1&gt;
+ C - F&lt;span style="vertical-align: super;"&gt;x&lt;/span&gt;v&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;=Gbb^&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt; CC - D#vv - Fb^^ - G&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;16, 20*, 26, 30*&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: center;"&gt;&amp;quot;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;P8/2 = vA4 = ^d5,&lt;br /&gt;
+P5/3 = /M2 = \\m3&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;^^d2,&lt;br /&gt;
+\\\m2&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;C^^ = B#,&lt;br /&gt;
+C/// = Db&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;C - F#v=Gb^ - C,&lt;br /&gt;
+C - /D - \F - G&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;16, 20*, 26, 30*&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 1,210: / Line 1,241: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;P8/4 = vm3 = ^&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;A2&lt;br /&gt;
-(^/v may reverse)&lt;br /&gt;
+(swap ^/v if 5th&amp;lt;700¢)&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;v&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;d2&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;C^&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;  &lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc9"&gt;&lt;a name="Dbb ||"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt; Dbb&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;C^&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;  &lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc10"&gt;&lt;a name="Dbb ||"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt; Dbb&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;/h1&gt;
@@ Line 1,231: / Line 1,262: @@
          &lt;td style="text-align: center;"&gt;^&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;dd2&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;C^&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;  &lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc10"&gt;&lt;a name="B## ||"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt; B##&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;C^&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;  &lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc11"&gt;&lt;a name="B## ||"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt; B##&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;/h1&gt;
@@ Line 1,247: / Line 1,278: @@
          &lt;td style="text-align: center;"&gt;v&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;A1&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;C^&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;  &lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc11"&gt;&lt;a name="C# ||"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt; C#&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;C^&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;  &lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc12"&gt;&lt;a name="C# ||"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt; C#&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;/h1&gt;
@@ Line 1,263: / Line 1,294: @@
          &lt;td style="text-align: center;"&gt;v&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;dd3&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;C^&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;  &lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc12"&gt;&lt;a name="Eb3 ||"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt; Eb&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;C^&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;  &lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc13"&gt;&lt;a name="Eb3 ||"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt; Eb&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;/h1&gt;
@@ Line 1,279: / Line 1,310: @@
          &lt;td style="text-align: center;"&gt;v&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;m2&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;C^&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;  &lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc13"&gt;&lt;a name="Db ||"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt; Db&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;C^&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;  &lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc14"&gt;&lt;a name="Db ||"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt; Db&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;/h1&gt;