Pergen names: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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

: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2017-11-20 01:08:56 UTC</tt>.

: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2017-11-20 02:27:46 UTC</tt>.

: The original revision id was <tt>~~621992011~~</tt>.

: The original revision id was <tt>621993889</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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Analogous to 22-edo, sometimes additional accidentals aren't needed, but are desirable, to avoid misspelled chords. For example, schismic is fifth-based and can be notated conventionally. But this causes 4:5:6 to be spelled as C Fb G. With ^1 = 81/80, the chord can be spelled C Ev G.

Not all possible combinations of periods and generators are unique pergens. {P8, WWP5/2} is actually {P8, P5/2}. {P8/2, P5/2} is actually {P8/2, P4/2}. There is no {P8, M2/2}, and {P8/2, M2/2} is actually {P8/2, P5}. This table lists all unique rank-2 pergens, ~~ordered~~ by the size of the ~~largest~~ splitting factor.

Not all possible combinations of periods and generators are unique pergens. {P8, WWP5/2} is actually {P8, P5/2}. {P8/2, P5/2} is actually {P8/2, P4/2}. There is no {P8, M2/2}, and {P8/2, M2/2} is actually {P8/2, P5}.

This table lists all unique rank-2 pergens, assuming primes 2 and 3, grouped by the size of the larger splitting factor.

The genchain shown is a short section of the full genchain. C - G implies ...Eb Bb F C G D A E B F# C#... And C - Eb^=Ev - G implies ...F - Ab^=Av - C - Eb^=Ev - G - Bb^=Bv - D - F^=F#v - A - C^=C#v - E... If the octave is split, the genchain shows the octave: In C - F#v=Gb^ - C, the last C is an octave above the first one.

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||~ pergen set ||~ valid range

of the 5th ||~ equivalences ||~ enharmonic

interval ||~ genchain(s) ||~ example

interval(s) ||~ genchain(s) ||~ example

temperament ||~ compatible edos

(12-31 only) ||

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22, 23, 24*, 25*, 26,

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

||~ ||~ ||~ ||~ ||~ ||~ ||~ ||

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

||= {P8/2, P5} ||= 700-720¢ ||= P8/2 = vA4 = ^d5 ||= ^^d2 ||= C - F#v=Gb^ - C ||= srutal ||= 12, 20*, 22, 24*, 30* ||

||= " ||= 600-700¢ ||= P8/2 = ^A4 = vd5 ||= vvd2 ||= C - F#^=Gbv - C ||= ||= 12, 14, 16, 18b,

||= " ||= 600-700¢ ||= P8/2 = ^A4 = vd5 ||= vvd2 ||= C - F#^=Gbv - C ||= large deep red ||= 12, 14, 16, 18b,

24*, 26, 28* ||

||= " ||= 600-720¢ ||= P8/2 = ^P4 = vP5 ||= vvM2 ||= C - F^=Gv - C ||= (is this needed?) ||= ||

||= {P8, P5/2} ||= 4\7 - 720¢ ||= P5/2 = ^m3 = vM3 ||= vvA1 ||= C - Eb^=Ev - G ||= mohajira ||= 14*, 17, 20*, 21*, 24

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

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

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

||= {P8, P5/2} ||= 4\7 - 720¢ ||= P5/2 = ^m3 = vM3 ||= vvA1 ||= C - Eb^=Ev - G ||= mohajira, dicot ||= 14*, 17, 20*, 21*, 24

27, 28*, 30*, 31 ||

||= " ||= 600¢ - 4\7 ||= P5/2 = ^M3 = vm3 ||= vvd1 ||= ||= ||= 14*, 18b, 21*, 28* ||

||= " ||= 600¢ - 4\7 ||= P5/2 = ^M3 = vm3 ||= vvd1 ||= C - E^=Ebv - G ||= ||= 14*, 18b, 21*, 28* ||

~~||= {P8, P4/2} ||= ||= P4/2 = ^M2 = vm3 ||= vvm2 ||= D - E^=Fv - G ||= semaphore ||= ||~~

~~||= " ||= ||= P4/2 = vA2 = ^d3 ||= ^^dd2 ||= ||= ||= ||~~

~~||= " ||= ||= P4/2 = ^A2 = vd3 ||= vvdd2 ||= ||= ||= ||~~

~~||= ||= ||= ||= ||= ||= ||= ||~~

~~|| || || || || || ||~~ ||

||= {P8/2, P4/2} ||= ||= P8/2 = vA4 = ^d5,

P4/2 = /M2 = \m3 ||= ^^d2,

P4/2 = /M2 = \m3,

\\m2 ||= C - F#v=Gb^ - C,

P5/2 = ^/m3 = v\M3 ||= ^^d2,

C - D/=Eb\ - F ||= bb&aaT ||= ||

\\m2,

||~ ||~ ||~ ||~ ||~ ||~ ||~ ||

vv\\A1 ||= C - F#v=Gb^ - C,

C - D/=Eb\ - F,

C - ^/Eb=v\E - G ||= bb&aaT ||= ||

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

||= {P8/3, P5} ||= ||= ||= ||= ||= ||= 12, 15, 18b*, 21, 24*,

27, 30* ||

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

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

||~ ||~ ||~ ||~ ||~ ||~ ||~ ||

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

||= {P8/4, P5} ||= ||= ||= ||= ||= ||= ||

||= {P8, P4/4} ||= ||= ||= ||= ||= ||= ||

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||= {P8, P11/4} ||= ||= ||= ||= ||= ||= ||

||= {P8, P12/4} ||= ||= ||= ||= ||= ||= ||

|| { || || || || || || ||

||= {P8/4, P4/2} ||= ||= ||= ||= ||= ||= ||

|| || || || || || || ||

||= {P8/2, P4/4} ||= ||= ||= ||= ||= ||= ||

||= {P8/2, P5/4} ||= ||= ||= ||= ||= ||= ||

||= ||= ||= ||= ||= ||= ||= ||

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Analogous to 22-edo, sometimes additional accidentals aren't needed, but are desirable, to avoid misspelled chords. For example, schismic is fifth-based and can be notated conventionally. But this causes 4:5:6 to be spelled as C Fb G. With ^1 = 81/80, the chord can be spelled C Ev G.

Not all possible combinations of periods and generators are unique pergens. {P8, WWP5/2} is actually {P8, P5/2}. {P8/2, P5/2} is actually {P8/2, P4/2}. There is no {P8, M2/2}, and {P8/2, M2/2} is actually {P8/2, P5}. This table lists all unique rank-2 pergens, ~~ordered~~ by the size of the ~~largest~~ splitting factor.

Not all possible combinations of periods and generators are unique pergens. {P8, WWP5/2} is actually {P8, P5/2}. {P8/2, P5/2} is actually {P8/2, P4/2}. There is no {P8, M2/2}, and {P8/2, M2/2} is actually {P8/2, P5}.

This table lists all unique rank-2 pergens, assuming primes 2 and 3, grouped by the size of the larger splitting factor.

The genchain shown is a short section of the full genchain. C - G implies ...Eb Bb F C G D A E B F# C#... And C - Eb^=Ev - G implies ...F - Ab^=Av - C - Eb^=Ev - G - Bb^=Bv - D - F^=F#v - A - C^=C#v - E... If the octave is split, the genchain shows the octave: In C - F#v=Gb^ - C, the last C is an octave above the first one.

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</th>

<th>enharmonic

interval

interval(s)

</th>

<th>genchain(s)

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</tr>

<tr>

<th>

<th>halves

</th>

<th>

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

</td>

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

</td>

<td style="text-align: center;">12, 14, 16, 18b,

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</td>

~~</td>~~

~~</tr>~~

~~<tr>~~

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

~~</td>~~

~~<td style="text-align: center;">4\7 - 720¢ ~~

~~</td>~~

~~<td style="text-align: center;">P5/2 = ^m3 = vM3 ~~

~~</td>~~

~~<td style="text-align: center;">vvA1 ~~

~~</td>~~

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

~~</td>~~

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

~~</td>~~

~~<td style="text-align: center;">14*, 17, 20*, 21*, 24 ~~

~~27, 28*, 30*, 31 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

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

~~</td>~~

~~<td style="text-align: center;">600¢ - 4\7 ~~

~~</td>~~

~~<td style="text-align: center;">P5/2 = ^M3 = vm3 ~~

~~</td>~~

~~<td style="text-align: center;">vvd1 ~~

~~</td>~~

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

~~</td>~~

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

~~</td>~~

~~<td style="text-align: center;">14*, 18b, 21*, 28* ~~

</td>

</tr>

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<td style="text-align: center;">{P8, P4/2}

</td>

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

</td>

<td style="text-align: center;">P4/2 = ^M2 = vm3

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<td style="text-align: center;">vvm2

</td>

<td style="text-align: center;">D ~~- E~~^=Fv - G

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

</td>

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

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

</td>

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

</td>

<td style="text-align: center;">P4/2 = vA2 = ^d3

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

</td>

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

</td>

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

</td>

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

</td>

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

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

</td>

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

</td>

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</tr>

<tr>

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

</td>

<td style="text-align: center;">4\7 - 720¢

</td>

<td style="text-align: center;">P5/2 = ^m3 = vM3

</td>

<td style="text-align: center;">vvA1

</td>

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

</td>

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

</td>

<td style="text-align: center;">14*, 17, 20*, 21*, 24

27, 28*, 30*, 31

</td>

</tr>

<tr>

<td>

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

</td>

<td>

<td style="text-align: center;">600¢ - 4\7

</td>

<td>

<td style="text-align: center;">P5/2 = ^M3 = vm3

</td>

<td>

<td style="text-align: center;">vvd1

</td>

<td>

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

</td>

<td>

</td>

<td>

<td style="text-align: center;">14*, 18b, 21*, 28*

</td>

</tr>

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</td>

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

P4/2 = /M2 = \m3

P4/2 = /M2 = \m3,

P5/2 = ^/m3 = v\M3

</td>

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

\\m2

\\m2,

vv\\A1

</td>

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

C - D/=Eb\ - F

C - D/=Eb\ - F,

C - ^/Eb=v\E - G

</td>

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

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</tr>

<tr>

<th>

<th>thirds

</th>

<th>

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</tr>

<tr>

<th>

<th>quarters

</th>

<th>

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</tr>

<tr>

<td>{

<td style="text-align: center;">{P8/4, P4/2}

</td>

</td>

</td>

</td>

</td>

</td>

</td>

</tr>

<tr>

<td style="text-align: center;">{P8/2, P4/4}

</td>

</td>

</td>

</td>

</td>

</td>

</td>

</tr>

<tr>

<td style="text-align: center;">{P8/2, P5/4}

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

</tr>

<tr>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

</tr>

@@ 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 01:08:56 UTC</tt>.<br>
+: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2017-11-20 02:27:46 UTC</tt>.<br>
-: The original revision id was <tt>621992011</tt>.<br>
+: The original revision id was <tt>621993889</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 105: / Line 105: @@
 Analogous to 22-edo, sometimes additional accidentals aren't needed, but are desirable, to avoid misspelled chords. For example, schismic is fifth-based and can be notated conventionally. But this causes 4:5:6 to be spelled as C Fb G. With ^1 = 81/80, the chord can be spelled C Ev G.
-Not all possible combinations of periods and generators are unique pergens. {P8, WWP5/2} is actually {P8, P5/2}. {P8/2, P5/2} is actually {P8/2, P4/2}. There is no {P8, M2/2}, and {P8/2, M2/2} is actually {P8/2, P5}. This table lists all unique rank-2 pergens, ordered by the size of the largest splitting factor.
+Not all possible combinations of periods and generators are unique pergens. {P8, WWP5/2} is actually {P8, P5/2}. {P8/2, P5/2} is actually {P8/2, P4/2}. There is no {P8, M2/2}, and {P8/2, M2/2} is actually {P8/2, P5}.
+This table lists all unique rank-2 pergens, assuming primes 2 and 3, grouped by the size of the larger splitting factor.
 The genchain shown is a short section of the full genchain. C - G implies ...Eb Bb F C G D A E B F# C#... And C - Eb^=Ev - G implies ...F - Ab^=Av - C - Eb^=Ev - G - Bb^=Bv - D - F^=F#v - A - C^=C#v - E... If the octave is split, the genchain shows the octave: In C - F#v=Gb^ - C, the last C is an octave above the first one.
@@ Line 115: / Line 117: @@
 ||~ pergen set ||~ valid range
 of the 5th ||~ equivalences ||~ enharmonic
-interval ||~ genchain(s) ||~ example
+interval(s) ||~ genchain(s) ||~ example
 temperament ||~ compatible edos
 (12-31 only) ||
@@ Line 122: / Line 124: @@
 , 23, 24*, 25*, 26,
 , 28*, 29, 30*, 31 ||
-||~   ||~   ||~   ||~   ||~   ||~   ||~   ||
+||~ halves ||~   ||~   ||~   ||~   ||~   ||~   ||
 ||= {P8/2, P5} ||= 700-720¢ ||= P8/2 = vA4 = ^d5 ||= ^^d2 ||= C - F#v=Gb^ - C ||= srutal ||= 12, 20*, 22, 24*, 30* ||
-||= " ||= 600-700¢ ||= P8/2 = ^A4 = vd5 ||= vvd2 ||= C - F#^=Gbv - C ||=   ||= 12, 14, 16, 18b,
+||= " ||= 600-700¢ ||= P8/2 = ^A4 = vd5 ||= vvd2 ||= C - F#^=Gbv - C ||= large deep red ||= 12, 14, 16, 18b,
 *, 26, 28* ||
 ||= " ||= 600-720¢ ||= P8/2 = ^P4 = vP5 ||= vvM2 ||= C - F^=Gv - C ||= (is this needed?) ||=   ||
-||= {P8, P5/2} ||= 4\7 - 720¢ ||= P5/2 = ^m3 = vM3 ||= vvA1 ||= C - Eb^=Ev - G ||= mohajira ||= 14*, 17, 20*, 21*, 24
+||= {P8, P4/2} ||= ? ||= P4/2 = ^M2 = vm3 ||= vvm2 ||= C - D^=Ebv - F ||= semaphore ||=   ||
+||= " ||= ? ||= P4/2 = vA2 = ^d3 ||= ^^dd2 ||= C - D#v=Ebb^ - F ||=   ||=   ||
+||= " ||= ? ||= P4/2 = ^A2 = vd3 ||= vvdd2 ||= C - D#^=Ebv - F ||=   ||=   ||
+||= {P8, P5/2} ||= 4\7 - 720¢ ||= P5/2 = ^m3 = vM3 ||= vvA1 ||= C - Eb^=Ev - G ||= mohajira, dicot ||= 14*, 17, 20*, 21*, 24
 , 28*, 30*, 31 ||
-||= " ||= 600¢ - 4\7 ||= P5/2 = ^M3 = vm3 ||= vvd1 ||=   ||=   ||= 14*, 18b, 21*, 28* ||
+||= " ||= 600¢ - 4\7 ||= P5/2 = ^M3 = vm3 ||= vvd1 ||= C - E^=Ebv - G ||=   ||= 14*, 18b, 21*, 28* ||
-||= {P8, P4/2} ||=   ||= P4/2 = ^M2 = vm3 ||= vvm2 ||= D - E^=Fv - G ||= semaphore ||=   ||
-||= " ||=   ||= P4/2 = vA2 = ^d3 ||= ^^dd2 ||=   ||=   ||=   ||
-||= " ||=   ||= P4/2 = ^A2 = vd3 ||= vvdd2 ||=   ||=   ||=   ||
-||=   ||=   ||=   ||=   ||=   ||=   ||=   ||
-||   ||   ||   ||   ||   ||   ||   ||
 ||= {P8/2, P4/2} ||=   ||= P8/2 = vA4 = ^d5,
-P4/2 = /M2 = \m3 ||= ^^d2,
+P4/2 = /M2 = \m3,
-\\m2 ||= C - F#v=Gb^ - C,
+P5/2 = ^/m3 = v\M3 ||= ^^d2,
-C - D/=Eb\ - F ||= bb&amp;aaT ||=   ||
+\\m2,
-||~   ||~   ||~   ||~   ||~   ||~   ||~   ||
+vv\\A1 ||= C - F#v=Gb^ - C,
+C - D/=Eb\ - F,
+C - ^/Eb=v\E - G ||= bb&amp;aaT ||=   ||
+||~ thirds ||~   ||~   ||~   ||~   ||~   ||~   ||
 ||= {P8/3, P5} ||=   ||=   ||=   ||=   ||=   ||= 12, 15, 18b*, 21, 24*,
 , 30* ||
@@ Line 153: / Line 156: @@
 ||= {P8/2, P11/3} ||=   ||=   ||=   ||=   ||=   ||= same as {P8/2, P4/3} ||
 ||= {P8/3, P4/3} ||=   ||=   ||=   ||=   ||=   ||= 15, 21, 30* ||
-||~   ||~   ||~   ||~   ||~   ||~   ||~   ||
+||~ quarters ||~   ||~   ||~   ||~   ||~   ||~   ||
 ||= {P8/4, P5} ||=   ||=   ||=   ||=   ||=   ||=   ||
 ||= {P8, P4/4} ||=   ||=   ||=   ||=   ||=   ||=   ||
@@ Line 159: / Line 162: @@
 ||= {P8, P11/4} ||=   ||=   ||=   ||=   ||=   ||=   ||
 ||= {P8, P12/4} ||=   ||=   ||=   ||=   ||=   ||=   ||
-|| { ||   ||   ||   ||   ||   ||   ||
+||= {P8/4, P4/2} ||=   ||=   ||=   ||=   ||=   ||=   ||
-||   ||   ||   ||   ||   ||   ||   ||
+||= {P8/2, P4/4} ||=   ||=   ||=   ||=   ||=   ||=   ||
+||= {P8/2, P5/4} ||=   ||=   ||=   ||=   ||=   ||=   ||
+||=   ||=   ||=   ||=   ||=   ||=   ||=   ||
@@ Line 683: / Line 688: @@
 Analogous to 22-edo, sometimes additional accidentals aren't needed, but are desirable, to avoid misspelled chords. For example, schismic is fifth-based and can be notated conventionally. But this causes 4:5:6 to be spelled as C Fb G. With ^1 = 81/80, the chord can be spelled C Ev G.&lt;br /&gt;
 &lt;br /&gt;
-Not all possible combinations of periods and generators are unique pergens. {P8, WWP5/2} is actually {P8, P5/2}. {P8/2, P5/2} is actually {P8/2, P4/2}. There is no {P8, M2/2}, and {P8/2, M2/2} is actually {P8/2, P5}. This table lists all unique rank-2 pergens, ordered by the size of the largest splitting factor.&lt;br /&gt;
+Not all possible combinations of periods and generators are unique pergens. {P8, WWP5/2} is actually {P8, P5/2}. {P8/2, P5/2} is actually {P8/2, P4/2}. There is no {P8, M2/2}, and {P8/2, M2/2} is actually {P8/2, P5}. &lt;br /&gt;
+&lt;br /&gt;
+This table lists all unique rank-2 pergens, assuming primes 2 and 3, grouped by the size of the larger splitting factor.&lt;br /&gt;
 &lt;br /&gt;
 The genchain shown is a short section of the full genchain. C - G implies ...Eb Bb F C G D A E B F# C#... And C - Eb^=Ev - G implies ...F - Ab^=Av - C - Eb^=Ev - G - Bb^=Bv - D - F^=F#v - A - C^=C#v - E... If the octave is split, the genchain shows the octave: In C - F#v=Gb^ - C, the last C is an octave above the first one.&lt;br /&gt;
@@ Line 703: / Line 710: @@
 &lt;/th&gt;
          &lt;th&gt;enharmonic&lt;br /&gt;
-interval&lt;br /&gt;
+interval(s)&lt;br /&gt;
 &lt;/th&gt;
          &lt;th&gt;genchain(s)&lt;br /&gt;
@@ Line 734: / Line 741: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;th&gt;&lt;br /&gt;
+         &lt;th&gt;halves&lt;br /&gt;
 &lt;/th&gt;
          &lt;th&gt;&lt;br /&gt;
@@ Line 776: / Line 783: @@
          &lt;td style="text-align: center;"&gt;C - F#^=Gbv - C&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;large deep red&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;12, 14, 16, 18b,&lt;br /&gt;
@@ Line 796: / Line 803: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td style="text-align: center;"&gt;{P8, P5/2}&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;4\7 - 720¢&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;P5/2 = ^m3 = vM3&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;vvA1&lt;br /&gt;
-&lt;/td&gt;
-        &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&gt;
-        &lt;td style="text-align: center;"&gt;14*, 17, 20*, 21*, 24 &lt;br /&gt;
-, 28*, 30*, 31&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;600¢ - 4\7&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;P5/2 = ^M3 = vm3&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;vvd1&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&gt;
-        &lt;td style="text-align: center;"&gt;14*, 18b, 21*, 28*&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 834: / Line 808: @@
          &lt;td style="text-align: center;"&gt;{P8, P4/2}&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;?&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;P4/2 = ^M2 = vm3&lt;br /&gt;
@@ Line 840: / Line 814: @@
          &lt;td style="text-align: center;"&gt;vvm2&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;D - E^=Fv - G&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;C - D^=Ebv - F&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;semaphore&lt;br /&gt;
@@ Line 850: / Line 824: @@
          &lt;td style="text-align: center;"&gt;&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;?&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;P4/2 = vA2 = ^d3&lt;br /&gt;
@@ Line 856: / Line 830: @@
          &lt;td style="text-align: center;"&gt;^^dd2&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;C - D#v=Ebb^ - F&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
@@ Line 866: / Line 840: @@
          &lt;td style="text-align: center;"&gt;&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;?&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;P4/2 = ^A2 = vd3&lt;br /&gt;
@@ Line 872: / Line 846: @@
          &lt;td style="text-align: center;"&gt;vvdd2&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;C - D#^=Ebv - F&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
@@ Line 880: / Line 854: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;{P8, P5/2}&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;4\7 - 720¢&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;P5/2 = ^m3 = vM3&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;vvA1&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;C - Eb^=Ev - G&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;mohajira, dicot&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;14*, 17, 20*, 21*, 24 &lt;br /&gt;
+, 28*, 30*, 31&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;600¢ - 4\7&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;P5/2 = ^M3 = vm3&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;vvd1&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;C - E^=Ebv - G&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;14*, 18b, 21*, 28*&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 917: / Line 892: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;P8/2 = vA4 = ^d5,&lt;br /&gt;
-P4/2 = /M2 = \m3&lt;br /&gt;
+P4/2 = /M2 = \m3,&lt;br /&gt;
+P5/2 = ^/m3 = v\M3&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;^^d2,&lt;br /&gt;
-\\m2&lt;br /&gt;
+\\m2,&lt;br /&gt;
+vv\\A1&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;C - F#v=Gb^ - C,&lt;br /&gt;
-C - D/=Eb\ - F&lt;br /&gt;
+C - D/=Eb\ - F,&lt;br /&gt;
+C - ^/Eb=v\E - G&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;bb&amp;amp;aaT&lt;br /&gt;
@@ Line 931: / Line 909: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;th&gt;&lt;br /&gt;
+         &lt;th&gt;thirds&lt;br /&gt;
 &lt;/th&gt;
          &lt;th&gt;&lt;br /&gt;
@@ Line 1,110: / Line 1,088: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;th&gt;&lt;br /&gt;
+         &lt;th&gt;quarters&lt;br /&gt;
 &lt;/th&gt;
          &lt;th&gt;&lt;br /&gt;
@@ Line 1,206: / Line 1,184: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;{&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;{P8/4, P4/2}&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&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&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&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: center;"&gt;{P8/2, P4/4}&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&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&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&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: center;"&gt;{P8/2, P5/4}&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;