Kite's ups and downs notation: 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>2016-11-21 04:43:30 UTC</tt>.

: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-11-21 07:15:16 UTC</tt>.

: The original revision id was <tt>~~599948600~~</tt>.

: The original revision id was <tt>599960546</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 782:

==__"Superflat" EDOs__==

(9, 11, 13b, 16, 18b and 23)

~~All superflat EDOs use~~ the ~~usual~~ chain of fifths: m2 - m6 - m3 - m7 - P4 - P1 - P5 - M2 - M6 - M3 - M7 etc.

If sharp is lower than flat, the chain of fifths is m2 - m6 - m3 - m7 - P4 - P1 - P5 - M2 - M6 - M3 - M7 etc.

Fb - Cb - Gb - Db - Ab - Eb - Bb - F - C - G - D - A - E - B - F# - C# - G# - D# - A# - E# - B# etc.

Edos 11 and 13 and problematic. See "Supersharp EDOs" below for alternate notations for them.

If sharp is higher than flat, the chain of fifths is M2 - M6 - M3 - M7 - P4 - P1 - P5 - m2 - m6 - m3 - m7 etc.

F# - C# - G# - D# - A# - E# - B# - F - C - G - D - A - E - B - Fb - Cb - Gb - Db - Ab - Eb - Bb etc.

Edos 11 and 13b and problematic. See "Supersharp EDOs" below for alternate notations for them.

**__9edo__:** C/D# Cb/D (# = v)

**__9edo__:** C/D# Cb/D (# = v) with sharp lowering the pitch, and major/aug narrower than minor/dim

D E * F G A B * C D

D - E - Eb/F# - F - G - A - B - Bb/C# - C - D

P1 - M2 - m2/M3 - m3 - P4 - P5 - M6 - m6/M7 - m7 - P8

**__11edo__:** C D Cb Db (# = vv)

C/Db C#/D (# = ^) with sharp raising the pitch, and major/aug wider than minor/dim

D - E - E#/Fb - F - G - A - B - B#/Cb - C - D

P1 - m2 - M2/m3 - M3 - P4 - P5 - m6 - M6/m7 - M7 - P8

**__11edo__:** C D Cb Db (# = vv) with sharp lowering the pitch, and major/aug narrower than minor/dim

D E * * F G A B * * C D

D - E - E^/F# - Eb/Fv - F - G - A - B - B^/C# - Bb/Cv - C - D

Line 797:

Line 803:

problematic because M3 is narrower than m2

**__13b-edo__:** C D * Cb Db (# = vvv)

C D C# D# (# = ^^) with sharp raising the pitch, and major/aug wider than minor/dim

D - E - E^/Fb - E#/Fv - F - G - A - B - B^/Cb - B#/Cv - C - D

P1 - m2 - ~2/m3 - M2/~3 - M3 - P4 - P5 - m6 - ~6/m7 - M6/~7 - M7 - P8

problematic because m3 is narrower than M2

**__13b-edo__:** C D * Cb Db (# = vvv) with sharp lowering the pitch, and major/aug narrower than minor/dim

D E * * * F G A B * * * C D

D - E - E^/F# - Ebv/F#^ - Eb/Fv - F - G - A - B - B^/C# - Bbv/C#^ - Bb/Cv - C - D

Line 803:

Line 814:

problematic because M3 is narrower than m2

**__16edo__:** C Cb/D# D (# = v)

C D * C# D# (# = ^^^) with sharp raising the pitch, and major/aug wider than minor/dim

D - E - E^/Fb - E#v/Fb^ - E#/Fv - F - G - A - B - B^/Cb - B#v/Cb^ - B#/Cv - C - D

P1 - m2 - ^m2/m3 - vM2/^m3 - M2/vM3 - M3 - P4 - P5 - m6 - ^m6/m7 - vM6/^m7 - M6/vM7 - M7 - P8

problematic because m3 is narrower than M2

**__16edo__:** C Cb/D# D (# = v) with sharp lowering the pitch, and major/aug narrower than minor/dim

D * E * * F * G * A * B * * C * D

D - Db/E# - E - Eb - F# - F - Fb/G# - G - Gb/A# - A - Ab/B# - B - Bb - C# - C - Cb/D# - D

P1 - d1/A2 - M2 - m2 - M3 - m3 - d3/A4 - P4 - d4/A5 - P5 - d5/A6 - M6 - m6 - M7 - m7 - d7/A8 - P8

**__18b-edo__:** C/D# * Cb/D (# = vv)

C C#/Db D (# = ^) with sharp raising the pitch, and major/aug wider than minor/dim

D - D#/Eb - E - E# - Fb - F - F#/Gb - G - G#/Ab - A - A#/Bb - B - B# - Cb - C - C#/Db - D

P1 - A1/d2 - m2 - M2 - m3 - M3 - A3/d4 - P4 - A4/d5 - P5 - A5/d6 - m6 - M6 - m7 - M7 - A7/d8 - P8

**__18b-edo__:** C/D# * Cb/D (# = vv) with sharp lowering the pitch, and major/aug narrower than minor/dim

D * E * * * F * G * A * B * * * C * D

D - D^/Ev - E - E^ - Eb/F# - Fv - F - F^/Gv - G - G^/Av - A - A^/Bv - B - B^ - Bb/C# - Cv - C - C^/Dv - D

Line 814:

Line 834:

Mid "~" is midway between major and minor, and replaces both upmajor and downminor.

**__23edo__:** C Cb * D# D (# = v)

C/Db * C#/D (# = ^^) with sharp raising the pitch, and major/aug wider than minor/dim

D - D^/Ev - E - E^ - E#/Fb - Fv - F - F^/Gv - G - G^/Av - A - A^/Bv - B - B^ - B#/Cb - Cv - C - C^/Dv - D

P1 - ^P1/vm2 - m2 - ~2 - mM2/m3 - ~3 - M3 - ^M3/vP4 - P4 - ^P4/vP5 - P5 - ^P5/vm6 - m6 - ~6 - M6/m7 - ~7 - M7 - ^M7/d8 - P8

**__23edo__:** C Cb * D# D (# = v) with sharp lowering the pitch, and major/aug narrower than minor/dim

D * * E * * * F * * G * * A * * B * * * C * * D

D - Db - E# - E - Eb - Ebb/Fx - F# - F - Fb - G# - G - Gb - A# - A - Ab - B# - B - Bb - Bbb/Cx - C# - C - Cb - D# - D

P1 - d1 - A2 - M2 - m2 - d2/A3 - M3 - m3 - d3 - A4 - P4 - d4 - A5 - P5 - d5 - A6 - M6 - m6 - d6/A7 - M7 - m7 - d7 - A8 - P8

C C# * Db D (# = ^) with sharp raising the pitch, and major/aug wider than minor/dim

D - D# - Eb - E - E# - Ex/Fbb - Fb - F - F# - Gb - G - G# - Ab - A - A# - Bb - B - B# - Bx/Cbb - Cb - C - C# - Db - D

P1 - A1 - d2 - m2 - M2 - A2/d3 - m3 - M3 - A3 - d4 - P4 - A4 - d5 - P5 - A5 - d6 - m6 - M6 - A6/d7 - m7 - M7 - A7 - d8 - P8

Line 3,623:

Line 3,651:

<h2 id="toc10"><a name="Summary of EDO notation-&quot;Superflat&quot; EDOs"></a>&quot;Superflat&quot; EDOs</h2>

(9, 11, 13b, 16, 18b and 23)

~~All superflat EDOs use~~ the ~~usual~~ chain of fifths: m2 - m6 - m3 - m7 - P4 - P1 - P5 - M2 - M6 - M3 - M7 etc.

If sharp is lower than flat, the chain of fifths is m2 - m6 - m3 - m7 - P4 - P1 - P5 - M2 - M6 - M3 - M7 etc.

Fb - Cb - Gb - Db - Ab - Eb - Bb - F - C - G - D - A - E - B - F# - C# - G# - D# - A# - E# - B# etc.

Edos 11 and 13 and problematic. See &quot;Supersharp EDOs&quot; below for alternate notations for them.

If sharp is higher than flat, the chain of fifths is M2 - M6 - M3 - M7 - P4 - P1 - P5 - m2 - m6 - m3 - m7 etc.

F# - C# - G# - D# - A# - E# - B# - F - C - G - D - A - E - B - Fb - Cb - Gb - Db - Ab - Eb - Bb etc.

Edos 11 and 13b and problematic. See &quot;Supersharp EDOs&quot; below for alternate notations for them.

9edo: C/D# Cb/D (# = v)

9edo: C/D# Cb/D (# = v) with sharp lowering the pitch, and major/aug narrower than minor/dim

D E * F G A B * C D

D - E - Eb/F# - F - G - A - B - Bb/C# - C - D

P1 - M2 - m2/M3 - m3 - P4 - P5 - M6 - m6/M7 - m7 - P8

11edo: C D Cb Db (# = vv)

C/Db C#/D (# = ^) with sharp raising the pitch, and major/aug wider than minor/dim

D - E - E#/Fb - F - G - A - B - B#/Cb - C - D

P1 - m2 - M2/m3 - M3 - P4 - P5 - m6 - M6/m7 - M7 - P8

11edo: C D Cb Db (# = vv) with sharp lowering the pitch, and major/aug narrower than minor/dim

D E * * F G A B * * C D

D - E - E^/F# - Eb/Fv - F - G - A - B - B^/C# - Bb/Cv - C - D

Line 3,638:

Line 3,672:

problematic because M3 is narrower than m2

13b-edo: C D * Cb Db (# = vvv)

C D C# D# (# = ^^) with sharp raising the pitch, and major/aug wider than minor/dim

D - E - E^/Fb - E#/Fv - F - G - A - B - B^/Cb - B#/Cv - C - D

P1 - m2 - ~2/m3 - M2/~3 - M3 - P4 - P5 - m6 - ~6/m7 - M6/~7 - M7 - P8

problematic because m3 is narrower than M2

13b-edo: C D * Cb Db (# = vvv) with sharp lowering the pitch, and major/aug narrower than minor/dim

D E * * * F G A B * * * C D

D - E - E^/F# - Ebv/F#^ - Eb/Fv - F - G - A - B - B^/C# - Bbv/C#^ - Bb/Cv - C - D

Line 3,644:

Line 3,683:

problematic because M3 is narrower than m2

16edo: C Cb/D# D (# = v)

C D * C# D# (# = ^^^) with sharp raising the pitch, and major/aug wider than minor/dim

D - E - E^/Fb - E#v/Fb^ - E#/Fv - F - G - A - B - B^/Cb - B#v/Cb^ - B#/Cv - C - D

P1 - m2 - ^m2/m3 - vM2/^m3 - M2/vM3 - M3 - P4 - P5 - m6 - ^m6/m7 - vM6/^m7 - M6/vM7 - M7 - P8

problematic because m3 is narrower than M2

16edo: C Cb/D# D (# = v) with sharp lowering the pitch, and major/aug narrower than minor/dim

D * E * * F * G * A * B * * C * D

D - Db/E# - E - Eb - F# - F - Fb/G# - G - Gb/A# - A - Ab/B# - B - Bb - C# - C - Cb/D# - D

P1 - d1/A2 - M2 - m2 - M3 - m3 - d3/A4 - P4 - d4/A5 - P5 - d5/A6 - M6 - m6 - M7 - m7 - d7/A8 - P8

18b-edo: C/D# * Cb/D (# = vv)

C C#/Db D (# = ^) with sharp raising the pitch, and major/aug wider than minor/dim

D - D#/Eb - E - E# - Fb - F - F#/Gb - G - G#/Ab - A - A#/Bb - B - B# - Cb - C - C#/Db - D

P1 - A1/d2 - m2 - M2 - m3 - M3 - A3/d4 - P4 - A4/d5 - P5 - A5/d6 - m6 - M6 - m7 - M7 - A7/d8 - P8

18b-edo: C/D# * Cb/D (# = vv) with sharp lowering the pitch, and major/aug narrower than minor/dim

D * E * * * F * G * A * B * * * C * D

D - D^/Ev - E - E^ - Eb/F# - Fv - F - F^/Gv - G - G^/Av - A - A^/Bv - B - B^ - Bb/C# - Cv - C - C^/Dv - D

Line 3,655:

Line 3,703:

Mid &quot;~&quot; is midway between major and minor, and replaces both upmajor and downminor.

23edo: C Cb * D# D (# = v)

C/Db * C#/D (# = ^^) with sharp raising the pitch, and major/aug wider than minor/dim

D - D^/Ev - E - E^ - E#/Fb - Fv - F - F^/Gv - G - G^/Av - A - A^/Bv - B - B^ - B#/Cb - Cv - C - C^/Dv - D

P1 - ^P1/vm2 - m2 - ~2 - mM2/m3 - ~3 - M3 - ^M3/vP4 - P4 - ^P4/vP5 - P5 - ^P5/vm6 - m6 - ~6 - M6/m7 - ~7 - M7 - ^M7/d8 - P8

23edo: C Cb * D# D (# = v) with sharp lowering the pitch, and major/aug narrower than minor/dim

D * * E * * * F * * G * * A * * B * * * C * * D

D - Db - E# - E - Eb - Ebb/Fx - F# - F - Fb - G# - G - Gb - A# - A - Ab - B# - B - Bb - Bbb/Cx - C# - C - Cb - D# - D

P1 - d1 - A2 - M2 - m2 - d2/A3 - M3 - m3 - d3 - A4 - P4 - d4 - A5 - P5 - d5 - A6 - M6 - m6 - d6/A7 - M7 - m7 - d7 - A8 - P8

C C# * Db D (# = ^) with sharp raising the pitch, and major/aug wider than minor/dim

D - D# - Eb - E - E# - Ex/Fbb - Fb - F - F# - Gb - G - G# - Ab - A - A# - Bb - B - B# - Bx/Cbb - Cb - C - C# - Db - D

P1 - A1 - d2 - m2 - M2 - A2/d3 - m3 - M3 - A3 - d4 - P4 - A4 - d5 - P5 - A5 - d6 - m6 - M6 - A6/d7 - m7 - M7 - A7 - d8 - P8

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-11-21 04:43:30 UTC</tt>.<br>
+: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-11-21 07:15:16 UTC</tt>.<br>
-: The original revision id was <tt>599948600</tt>.<br>
+: The original revision id was <tt>599960546</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 782: / Line 782: @@
 ==__"Superflat" EDOs__==
 (9, 11, 13b, 16, 18b and 23)
-All superflat EDOs use the usual chain of fifths: m2 - m6 - m3 - m7 - P4 - P1 - P5 - M2 - M6 - M3 - M7 etc.
+If sharp is lower than flat, the chain of fifths is m2 - m6 - m3 - m7 - P4 - P1 - P5 - M2 - M6 - M3 - M7 etc.
 Fb - Cb - Gb - Db - Ab - Eb - Bb - F - C - G - D - A - E - B - F# - C# - G# - D# - A# - E# - B# etc.
-Edos 11 and 13 and problematic. See "Supersharp EDOs" below for alternate notations for them.
+If sharp is higher than flat, the chain of fifths is M2 - M6 - M3 - M7 - P4 - P1 - P5 - m2 - m6 - m3 - m7 etc.
+F# - C# - G# - D# - A# - E# - B# - F - C - G - D - A - E - B - Fb - Cb - Gb - Db - Ab - Eb - Bb etc.
+Edos 11 and 13b and problematic. See "Supersharp EDOs" below for alternate notations for them.
-**__9edo__:** C/D# Cb/D (# = v)
+**__9edo__:** C/D# Cb/D (# = v) with sharp lowering the pitch, and major/aug narrower than minor/dim
 D E * F G A B * C D
 D - E - Eb/F# - F - G - A - B - Bb/C# - C - D
 P1 - M2 - m2/M3 - m3 - P4 - P5 - M6 - m6/M7 - m7 - P8
-**__11edo__:** C D Cb Db (# = vv)
+C/Db C#/D (# = ^) with sharp raising the pitch, and major/aug wider than minor/dim
+D - E - E#/Fb - F - G - A - B - B#/Cb - C - D
+P1 - m2 - M2/m3 - M3 - P4 - P5 - m6 - M6/m7 - M7 - P8
+**__11edo__:** C D Cb Db (# = vv) with sharp lowering the pitch, and major/aug narrower than minor/dim
 D E * * F G A B * * C D
 D - E - E^/F# - Eb/Fv - F - G - A - B - B^/C# - Bb/Cv - C - D
@@ Line 797: / Line 803: @@
 problematic because M3 is narrower than m2
-**__13b-edo__:** C D * Cb Db (# = vvv)
+C D C# D# (# = ^^) with sharp raising the pitch, and major/aug wider than minor/dim
+D - E - E^/Fb - E#/Fv - F - G - A - B - B^/Cb - B#/Cv - C - D
+P1 - m2 - ~2/m3 - M2/~3 - M3 - P4 - P5 - m6 - ~6/m7 - M6/~7 - M7 - P8
+problematic because m3 is narrower than M2
+**__13b-edo__:** C D * Cb Db (# = vvv) with sharp lowering the pitch, and major/aug narrower than minor/dim
 D E * * * F G A B * * * C D
 D - E - E^/F# - Ebv/F#^ - Eb/Fv - F - G - A - B - B^/C# - Bbv/C#^ - Bb/Cv - C - D
@@ Line 803: / Line 814: @@
 problematic because M3 is narrower than m2
-**__16edo__:** C Cb/D# D (# = v)
+C D * C# D# (# = ^^^) with sharp raising the pitch, and major/aug wider than minor/dim
+D - E - E^/Fb - E#v/Fb^ - E#/Fv - F - G - A - B - B^/Cb - B#v/Cb^ - B#/Cv - C - D
+P1 - m2 - ^m2/m3 - vM2/^m3 - M2/vM3 - M3 - P4 - P5 - m6 - ^m6/m7 - vM6/^m7 - M6/vM7 - M7 - P8
+problematic because m3 is narrower than M2
+**__16edo__:** C Cb/D# D (# = v) with sharp lowering the pitch, and major/aug narrower than minor/dim
 D * E * * F * G * A * B * * C * D
 D - Db/E# - E - Eb - F# - F - Fb/G# - G - Gb/A# - A - Ab/B# - B - Bb - C# - C - Cb/D# - D
 P1 - d1/A2 - M2 - m2 - M3 - m3 - d3/A4 - P4 - d4/A5 - P5 - d5/A6 - M6 - m6 - M7 - m7 - d7/A8 - P8
-**__18b-edo__:** C/D# * Cb/D (# = vv)
+C C#/Db D (# = ^) with sharp raising the pitch, and major/aug wider than minor/dim
+D - D#/Eb - E - E# - Fb - F - F#/Gb - G - G#/Ab - A - A#/Bb - B - B# - Cb - C - C#/Db - D
+P1 - A1/d2 - m2 - M2 - m3 - M3 - A3/d4 - P4 - A4/d5 - P5 - A5/d6 - m6 - M6 - m7 - M7 - A7/d8 - P8
+**__18b-edo__:** C/D# * Cb/D (# = vv) with sharp lowering the pitch, and major/aug narrower than minor/dim
 D * E * * * F * G * A * B * * * C * D
 D - D^/Ev - E - E^ - Eb/F# - Fv - F - F^/Gv - G - G^/Av - A - A^/Bv - B - B^ - Bb/C# - Cv - C - C^/Dv - D
@@ Line 814: / Line 834: @@
 Mid "~" is midway between major and minor, and replaces both upmajor and downminor.
-**__23edo__:** C Cb * D# D (# = v)
+C/Db * C#/D (# = ^^) with sharp raising the pitch, and major/aug wider than minor/dim
+D - D^/Ev - E - E^ - E#/Fb - Fv - F - F^/Gv - G - G^/Av - A - A^/Bv - B - B^ - B#/Cb - Cv - C - C^/Dv - D
+P1 - ^P1/vm2 - m2 - ~2 - mM2/m3 - ~3 - M3 - ^M3/vP4 - P4 - ^P4/vP5 - P5 - ^P5/vm6 - m6 - ~6 - M6/m7 - ~7 - M7 - ^M7/d8 - P8
+**__23edo__:** C Cb * D# D (# = v) with sharp lowering the pitch, and major/aug narrower than minor/dim
 D * * E * * * F * * G * * A * * B * * * C * * D
 D - Db - E# - E - Eb - Ebb/Fx - F# - F - Fb - G# - G - Gb - A# - A - Ab - B# - B - Bb - Bbb/Cx - C# - C - Cb - D# - D
 P1 - d1 - A2 - M2 - m2 - d2/A3 - M3 - m3 - d3 - A4 - P4 - d4 - A5 - P5 - d5 - A6 - M6 - m6 - d6/A7 - M7 - m7 - d7 - A8 - P8
+C C# * Db D (# = ^) with sharp raising the pitch, and major/aug wider than minor/dim
+D - D# - Eb - E - E# - Ex/Fbb - Fb - F - F# - Gb - G - G# - Ab - A - A# - Bb - B - B# - Bx/Cbb - Cb - C - C# - Db - D
+P1 - A1 - d2 - m2 - M2 - A2/d3 - m3 - M3 - A3 - d4 - P4 - A4 - d5 - P5 - A5 - d6 - m6 - M6 - A6/d7 - m7 - M7 - A7 - d8 - P8
@@ Line 3,623: / Line 3,651: @@
 &lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc10"&gt;&lt;a name="Summary of EDO notation-&amp;quot;Superflat&amp;quot; EDOs"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;&lt;u&gt;&amp;quot;Superflat&amp;quot; EDOs&lt;/u&gt;&lt;/h2&gt;
   (9, 11, 13b, 16, 18b and 23)&lt;br /&gt;
-All superflat EDOs use the usual chain of fifths: m2 - m6 - m3 - m7 - P4 - P1 - P5 - M2 - M6 - M3 - M7 etc.&lt;br /&gt;
+If sharp is lower than flat, the chain of fifths is m2 - m6 - m3 - m7 - P4 - P1 - P5 - M2 - M6 - M3 - M7 etc.&lt;br /&gt;
 Fb - Cb - Gb - Db - Ab - Eb - Bb - F - C - G - D - A - E - B - F# - C# - G# - D# - A# - E# - B# etc.&lt;br /&gt;
-Edos 11 and 13 and problematic. See &amp;quot;Supersharp EDOs&amp;quot; below for alternate notations for them.&lt;br /&gt;
+If sharp is higher than flat, the chain of fifths is M2 - M6 - M3 - M7 - P4 - P1 - P5 - m2 - m6 - m3 - m7 etc.&lt;br /&gt;
+F# - C# - G# - D# - A# - E# - B# - F - C - G - D - A - E - B - Fb - Cb - Gb - Db - Ab - Eb - Bb etc.&lt;br /&gt;
+Edos 11 and 13b and problematic. See &amp;quot;Supersharp EDOs&amp;quot; below for alternate notations for them.&lt;br /&gt;
 &lt;br /&gt;
-&lt;strong&gt;&lt;u&gt;9edo&lt;/u&gt;:&lt;/strong&gt; C/D# Cb/D (# = v)&lt;br /&gt;
+&lt;strong&gt;&lt;u&gt;9edo&lt;/u&gt;:&lt;/strong&gt; C/D# Cb/D (# = v) with sharp lowering the pitch, and major/aug narrower than minor/dim&lt;br /&gt;
 D E * F G A B * C D&lt;br /&gt;
 D - E - Eb/F# - F - G - A - B - Bb/C# - C - D&lt;br /&gt;
 P1 - M2 - m2/M3 - m3 - P4 - P5 - M6 - m6/M7 - m7 - P8&lt;br /&gt;
 &lt;br /&gt;
-&lt;strong&gt;&lt;u&gt;11edo&lt;/u&gt;:&lt;/strong&gt; C D Cb Db (# = vv)&lt;br /&gt;
+C/Db C#/D (# = ^) with sharp raising the pitch, and major/aug wider than minor/dim&lt;br /&gt;
+D - E - E#/Fb - F - G - A - B - B#/Cb - C - D&lt;br /&gt;
+P1 - m2 - M2/m3 - M3 - P4 - P5 - m6 - M6/m7 - M7 - P8&lt;br /&gt;
+&lt;br /&gt;
+&lt;strong&gt;&lt;u&gt;11edo&lt;/u&gt;:&lt;/strong&gt; C D Cb Db (# = vv) with sharp lowering the pitch, and major/aug narrower than minor/dim&lt;br /&gt;
 D E * * F G A B * * C D&lt;br /&gt;
 D - E - E^/F# - Eb/Fv - F - G - A - B - B^/C# - Bb/Cv - C - D&lt;br /&gt;
@@ Line 3,638: / Line 3,672: @@
 problematic because M3 is narrower than m2&lt;br /&gt;
 &lt;br /&gt;
-&lt;strong&gt;&lt;u&gt;13b-edo&lt;/u&gt;:&lt;/strong&gt; C D * Cb Db (# = vvv)&lt;br /&gt;
+C D C# D# (# = ^^) with sharp raising the pitch, and major/aug wider than minor/dim&lt;br /&gt;
+D - E - E^/Fb - E#/Fv - F - G - A - B - B^/Cb - B#/Cv - C - D&lt;br /&gt;
+P1 - m2 - ~2/m3 - M2/~3 - M3 - P4 - P5 - m6 - ~6/m7 - M6/~7 - M7 - P8&lt;br /&gt;
+problematic because m3 is narrower than M2&lt;br /&gt;
+&lt;br /&gt;
+&lt;strong&gt;&lt;u&gt;13b-edo&lt;/u&gt;:&lt;/strong&gt; C D * Cb Db (# = vvv) with sharp lowering the pitch, and major/aug narrower than minor/dim&lt;br /&gt;
 D E * * * F G A B * * * C D&lt;br /&gt;
 D - E - E^/F# - Ebv/F#^ - Eb/Fv - F - G - A - B - B^/C# - Bbv/C#^ - Bb/Cv - C - D&lt;br /&gt;
@@ Line 3,644: / Line 3,683: @@
 problematic because M3 is narrower than m2&lt;br /&gt;
 &lt;br /&gt;
-&lt;strong&gt;&lt;u&gt;16edo&lt;/u&gt;:&lt;/strong&gt; C Cb/D# D (# = v)&lt;br /&gt;
+C D * C# D# (# = ^^^) with sharp raising the pitch, and major/aug wider than minor/dim&lt;br /&gt;
+D - E - E^/Fb - E#v/Fb^ - E#/Fv - F - G - A - B - B^/Cb - B#v/Cb^ - B#/Cv - C - D&lt;br /&gt;
+P1 - m2 - ^m2/m3 - vM2/^m3 - M2/vM3 - M3 - P4 - P5 - m6 - ^m6/m7 - vM6/^m7 - M6/vM7 - M7 - P8&lt;br /&gt;
+problematic because m3 is narrower than M2&lt;br /&gt;
+&lt;br /&gt;
+&lt;strong&gt;&lt;u&gt;16edo&lt;/u&gt;:&lt;/strong&gt; C Cb/D# D (# = v) with sharp lowering the pitch, and major/aug narrower than minor/dim&lt;br /&gt;
 D * E * * F * G * A * B * * C * D&lt;br /&gt;
 D - Db/E# - E - Eb - F# - F - Fb/G# - G - Gb/A# - A - Ab/B# - B - Bb - C# - C - Cb/D# - D&lt;br /&gt;
 P1 - d1/A2 - M2 - m2 - M3 - m3 - d3/A4 - P4 - d4/A5 - P5 - d5/A6 - M6 - m6 - M7 - m7 - d7/A8 - P8&lt;br /&gt;
 &lt;br /&gt;
-&lt;strong&gt;&lt;u&gt;18b-edo&lt;/u&gt;:&lt;/strong&gt; C/D# * Cb/D (# = vv)&lt;br /&gt;
+C C#/Db D (# = ^) with sharp raising the pitch, and major/aug wider than minor/dim&lt;br /&gt;
+D - D#/Eb - E - E# - Fb - F - F#/Gb - G - G#/Ab - A - A#/Bb - B - B# - Cb - C - C#/Db - D&lt;br /&gt;
+P1 - A1/d2 - m2 - M2 - m3 - M3 - A3/d4 - P4 - A4/d5 - P5 - A5/d6 - m6 - M6 - m7 - M7 - A7/d8 - P8&lt;br /&gt;
+&lt;br /&gt;
+&lt;strong&gt;&lt;u&gt;18b-edo&lt;/u&gt;:&lt;/strong&gt; C/D# * Cb/D (# = vv) with sharp lowering the pitch, and major/aug narrower than minor/dim&lt;br /&gt;
 D * E * * * F * G * A * B * * * C * D&lt;br /&gt;
 D - D^/Ev - E - E^ - Eb/F# - Fv - F - F^/Gv - G - G^/Av - A - A^/Bv - B - B^ - Bb/C# - Cv - C - C^/Dv - D&lt;br /&gt;
@@ Line 3,655: / Line 3,703: @@
 Mid &amp;quot;~&amp;quot; is midway between major and minor, and replaces both upmajor and downminor.&lt;br /&gt;
 &lt;br /&gt;
-&lt;strong&gt;&lt;u&gt;23edo&lt;/u&gt;:&lt;/strong&gt; C Cb * D# D (# = v)&lt;br /&gt;
+C/Db * C#/D (# = ^^) with sharp raising the pitch, and major/aug wider than minor/dim&lt;br /&gt;
+D - D^/Ev - E - E^ - E#/Fb - Fv - F - F^/Gv - G - G^/Av - A - A^/Bv - B - B^ - B#/Cb - Cv - C - C^/Dv - D&lt;br /&gt;
+P1 - ^P1/vm2 - m2 - ~2 - mM2/m3 - ~3 - M3 - ^M3/vP4 - P4 - ^P4/vP5 - P5 - ^P5/vm6 - m6 - ~6 - M6/m7 - ~7 - M7 - ^M7/d8 - P8&lt;br /&gt;
+&lt;br /&gt;
+&lt;strong&gt;&lt;u&gt;23edo&lt;/u&gt;:&lt;/strong&gt; C Cb * D# D (# = v) with sharp lowering the pitch, and major/aug narrower than minor/dim&lt;br /&gt;
 D * * E * * * F * * G * * A * * B * * * C * * D&lt;br /&gt;
 D - Db - E# - E - Eb - Ebb/Fx - F# - F - Fb - G# - G - Gb - A# - A - Ab - B# - B - Bb - Bbb/Cx - C# - C - Cb - D# - D&lt;br /&gt;
 P1 - d1 - A2 - M2 - m2 - d2/A3 - M3 - m3 - d3 - A4 - P4 - d4 - A5 - P5 - d5 - A6 - M6 - m6 - d6/A7 - M7 - m7 - d7 - A8 - P8&lt;br /&gt;
+&lt;br /&gt;
+C C# * Db D (# = ^) with sharp raising the pitch, and major/aug wider than minor/dim&lt;br /&gt;
+D - D# - Eb - E - E# - Ex/Fbb - Fb - F - F# - Gb - G - G# - Ab - A - A# - Bb - B - B# - Bx/Cbb - Cb - C - C# - Db - D&lt;br /&gt;
+P1 - A1 - d2 - m2 - M2 - A2/d3 - m3 - M3 - A3 - d4 - P4 - A4 - d5 - P5 - A5 - d6 - m6 - M6 - A6/d7 - m7 - M7 - A7 - d8 - P8&lt;br /&gt;
 &lt;br /&gt;
 &lt;br /&gt;