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Kite's ups and downs notation: Difference between revisions

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Wikispaces>TallKite
**Imported revision 594385594 - Original comment: **
Wikispaces>TallKite
**Imported revision 594425770 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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>2016-10-05 21:56:50 UTC</tt>.<br>
: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-10-06 01:57:13 UTC</tt>.<br>
: The original revision id was <tt>594385594</tt>.<br>
: The original revision id was <tt>594425770</tt>.<br>
: The revision comment was: <tt></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>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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__**Pentatonic notation for 8edo, 11b-edo, 13edo and 18edo**__
__**Pentatonic notation for 8edo, 11b-edo, 13edo and 18edo**__


All three EDOs use the same pentatonic fifthwards chain of fifths: ms3 - ms7 - P4d - P1 - P5d - Ms3 - Ms7 - A4d etc.
All four EDOs use the same pentatonic fifthwards chain of fifths: ms3 - ms7 - P4d - P1 - P5d - Ms3 - Ms7 - A4d etc.
Cb - Gb - Db - Ab - Eb - C - G - D - A - E - C# - G# - D# - A# - E# etc.
Cb - Gb - Db - Ab - Eb - C - G - D - A - E - C# - G# - D# - A# - E# etc.


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__**11b-edo**__**:** (generator = 7\11 = perfect 5thoid) C Db C# D, # is ^^
__**11b-edo**__**:** (generator = 7\11 = perfect 5thoid) C Db C# D, # is ^^
D * * E G * * A C * * D
D * * E G * * A C * * D
P1 - ms3 - ^ms3/vMs3 - Ms3 - P4d - ^P4d/d5d - A4d/vP5d - P5d - ms7 - ^ms7/vMs7 - Ms7 - P8d
P1 - ms3 - ~s3 - Ms3 - P4d - ^P4d/d5d - A4d/vP5d - P5d - ms7 - ~s7 - Ms7 - P8d


__**13edo**__**:** (generator = 8\13 = perfect 5thoid) C C# Db D
__**13edo**__**:** (generator = 8\13 = perfect 5thoid) C C# Db D
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requires learning octatonic interval arithmetic and staff notation
requires learning octatonic interval arithmetic and staff notation


__**11edo**__ nonotonic narrow-fifth-based, fifthwards with no ups and downs (3/2 maps to 6\11 = perfect 6th):
__**11edo**__ nonotonic narrow-fifth-based (3/2 maps to 6\11 = perfect 6th):
nonotonic fifthwards chain of sixths: M2 - M7 - M3 - M8 - M4 - M9 - P5 - P1 - P6 - m2 - m7 - m3 - m8 - m4 - m9
nonotonic chain of sixths: M2 - M7 - M3 - M8 - M4 - M9 - P5 - P1 - P6 - m2 - m7 - m3 - m8 - m4 - m9
P1 m2 M2/m3 M3/m4 M4 P5 P6 m7 M7/m8 M8/m9 M9 P8
P1 m2 M2/m3 M3/m4 M4 P5 P6 m7 M7/m8 M8/m9 M9 P8
requires learning nonotonic interval arithmetic and staff notation
requires learning nonotonic interval arithmetic and staff notation


__**11b-edo**__ octatonic wide-fifth-based, fifthwards, no ^/v (3/2 maps to 7\11 = perfect 6th):
__**11b-edo**__ octatonic wide-fifth-based (3/2 maps to 7\11 = perfect 6th):
octatonic chain of 6ths: m3 - m8 - m5 - m2 - m7 - P4 - P1 - P6 - M3 - M8 - M5 - M2 - M7
octatonic chain of sixths: m3 - m8 - m5 - m2 - m7 - P4 - P1 - P6 - M3 - M8 - M5 - M2 - M7
P1 - m2 - M2/m3 - M3 - P4 - m5 - M5 - P6 - m7 - M7/m8 - M8 - P9
P1 - m2 - M2/m3 - M3 - P4 - m5 - M5 - P6 - m7 - M7/m8 - M8 - P9
requires learning octatonic interval arithmetic and notation
requires learning octatonic interval arithmetic and notation


__**13b-edo**__ undecatonic narrow-fifth-based, superflat, 3/2 maps to 7\13 = perfect 7th
__**13b-edo**__ undecatonic narrow-fifth-based (3/2 maps to 7\13 = perfect 7th)
undecatonic sixthwards chain of sevenths:
undecatonic chain of sevenths:
M2 - M8 - M3 - M9 - M4 - M10 - M5 - M11 - P6 - P1 - P7 - m2 - m8 - m3 - m9 - m4 - m10 - m5 - m11
M2 - M8 - M3 - M9 - M4 - M10 - M5 - M11 - P6 - P1 - P7 - m2 - m8 - m3 - m9 - m4 - m10 - m5 - m11
P1 - m2 - M2/m3 - M3/m4 - M4/m5 - M5 - P6 - P7 - m8 - M8/m9 - M9/m10 - M10/m11 - M11 - P12
P1 - m2 - M2/m3 - M3/m4 - M4/m5 - M5 - P6 - P7 - m8 - M8/m9 - M9/m10 - M10/m11 - M11 - P12
requires learning undecatonic interval arithmetic and notation
requires learning undecatonic interval arithmetic and notation


__**13edo**__ octatonic wide-fifth-based, fourthwards, 3/2 maps to 8\13 = perfect 6th
__**13edo**__ octatonic wide-fifth-based (3/2 maps to 8\13 = perfect 6th)
octotonic chain of sixths: M3 - M8 - M5 - M2 - M7 - P4 - P1 - P6 - m3 - m8 - m5 - m2 - m7
octotonic chain of sixths: M3 - M8 - M5 - M2 - M7 - P4 - P1 - P6 - m3 - m8 - m5 - m2 - m7
P1 - m2 - M2 - m3 - M3 - P4 - m5 - M5 - P6 - m7 - M7 - m8 - M8 - P9
P1 - m2 - M2 - m3 - M3 - P4 - m5 - M5 - P6 - m7 - M7 - m8 - M8 - P9
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&lt;u&gt;&lt;strong&gt;Pentatonic notation for 8edo, 11b-edo, 13edo and 18edo&lt;/strong&gt;&lt;/u&gt;&lt;br /&gt;
&lt;u&gt;&lt;strong&gt;Pentatonic notation for 8edo, 11b-edo, 13edo and 18edo&lt;/strong&gt;&lt;/u&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
All three EDOs use the same pentatonic fifthwards chain of fifths: ms3 - ms7 - P4d - P1 - P5d - Ms3 - Ms7 - A4d etc.&lt;br /&gt;
All four EDOs use the same pentatonic fifthwards chain of fifths: ms3 - ms7 - P4d - P1 - P5d - Ms3 - Ms7 - A4d etc.&lt;br /&gt;
Cb - Gb - Db - Ab - Eb - C - G - D - A - E - C# - G# - D# - A# - E# etc.&lt;br /&gt;
Cb - Gb - Db - Ab - Eb - C - G - D - A - E - C# - G# - D# - A# - E# etc.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
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&lt;u&gt;&lt;strong&gt;11b-edo&lt;/strong&gt;&lt;/u&gt;&lt;strong&gt;:&lt;/strong&gt; (generator = 7\11 = perfect 5thoid) C Db C# D, # is ^^&lt;br /&gt;
&lt;u&gt;&lt;strong&gt;11b-edo&lt;/strong&gt;&lt;/u&gt;&lt;strong&gt;:&lt;/strong&gt; (generator = 7\11 = perfect 5thoid) C Db C# D, # is ^^&lt;br /&gt;
D * * E G * * A C * * D&lt;br /&gt;
D * * E G * * A C * * D&lt;br /&gt;
P1 - ms3 - ^ms3/vMs3 - Ms3 - P4d - ^P4d/d5d - A4d/vP5d - P5d - ms7 - ^ms7/vMs7 - Ms7 - P8d&lt;br /&gt;
P1 - ms3 - ~s3 - Ms3 - P4d - ^P4d/d5d - A4d/vP5d - P5d - ms7 - ~s7 - Ms7 - P8d&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;u&gt;&lt;strong&gt;13edo&lt;/strong&gt;&lt;/u&gt;&lt;strong&gt;:&lt;/strong&gt; (generator = 8\13 = perfect 5thoid) C C# Db D&lt;br /&gt;
&lt;u&gt;&lt;strong&gt;13edo&lt;/strong&gt;&lt;/u&gt;&lt;strong&gt;:&lt;/strong&gt; (generator = 8\13 = perfect 5thoid) C C# Db D&lt;br /&gt;
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requires learning octatonic interval arithmetic and staff notation&lt;br /&gt;
requires learning octatonic interval arithmetic and staff notation&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;u&gt;&lt;strong&gt;11edo&lt;/strong&gt;&lt;/u&gt; nonotonic narrow-fifth-based, fifthwards with no ups and downs (3/2 maps to 6\11 = perfect 6th):&lt;br /&gt;
&lt;u&gt;&lt;strong&gt;11edo&lt;/strong&gt;&lt;/u&gt; nonotonic narrow-fifth-based (3/2 maps to 6\11 = perfect 6th):&lt;br /&gt;
nonotonic fifthwards chain of sixths: M2 - M7 - M3 - M8 - M4 - M9 - P5 - P1 - P6 - m2 - m7 - m3 - m8 - m4 - m9&lt;br /&gt;
nonotonic chain of sixths: M2 - M7 - M3 - M8 - M4 - M9 - P5 - P1 - P6 - m2 - m7 - m3 - m8 - m4 - m9&lt;br /&gt;
P1 m2 M2/m3 M3/m4 M4 P5 P6 m7 M7/m8 M8/m9 M9 P8&lt;br /&gt;
P1 m2 M2/m3 M3/m4 M4 P5 P6 m7 M7/m8 M8/m9 M9 P8&lt;br /&gt;
requires learning nonotonic interval arithmetic and staff notation&lt;br /&gt;
requires learning nonotonic interval arithmetic and staff notation&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;u&gt;&lt;strong&gt;11b-edo&lt;/strong&gt;&lt;/u&gt; octatonic wide-fifth-based, fifthwards, no ^/v (3/2 maps to 7\11 = perfect 6th):&lt;br /&gt;
&lt;u&gt;&lt;strong&gt;11b-edo&lt;/strong&gt;&lt;/u&gt; octatonic wide-fifth-based (3/2 maps to 7\11 = perfect 6th):&lt;br /&gt;
octatonic chain of 6ths: m3 - m8 - m5 - m2 - m7 - P4 - P1 - P6 - M3 - M8 - M5 - M2 - M7&lt;br /&gt;
octatonic chain of sixths: m3 - m8 - m5 - m2 - m7 - P4 - P1 - P6 - M3 - M8 - M5 - M2 - M7&lt;br /&gt;
P1 - m2 - M2/m3 - M3 - P4 - m5 - M5 - P6 - m7 - M7/m8 - M8 - P9&lt;br /&gt;
P1 - m2 - M2/m3 - M3 - P4 - m5 - M5 - P6 - m7 - M7/m8 - M8 - P9&lt;br /&gt;
requires learning octatonic interval arithmetic and notation&lt;br /&gt;
requires learning octatonic interval arithmetic and notation&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;u&gt;&lt;strong&gt;13b-edo&lt;/strong&gt;&lt;/u&gt; undecatonic narrow-fifth-based, superflat, 3/2 maps to 7\13 = perfect 7th&lt;br /&gt;
&lt;u&gt;&lt;strong&gt;13b-edo&lt;/strong&gt;&lt;/u&gt; undecatonic narrow-fifth-based (3/2 maps to 7\13 = perfect 7th)&lt;br /&gt;
undecatonic sixthwards chain of sevenths:&lt;br /&gt;
undecatonic chain of sevenths:&lt;br /&gt;
M2 - M8 - M3 - M9 - M4 - M10 - M5 - M11 - P6 - P1 - P7 - m2 - m8 - m3 - m9 - m4 - m10 - m5 - m11&lt;br /&gt;
M2 - M8 - M3 - M9 - M4 - M10 - M5 - M11 - P6 - P1 - P7 - m2 - m8 - m3 - m9 - m4 - m10 - m5 - m11&lt;br /&gt;
P1 - m2 - M2/m3 - M3/m4 - M4/m5 - M5 - P6 - P7 - m8 - M8/m9 - M9/m10 - M10/m11 - M11 - P12&lt;br /&gt;
P1 - m2 - M2/m3 - M3/m4 - M4/m5 - M5 - P6 - P7 - m8 - M8/m9 - M9/m10 - M10/m11 - M11 - P12&lt;br /&gt;
requires learning undecatonic interval arithmetic and notation&lt;br /&gt;
requires learning undecatonic interval arithmetic and notation&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;u&gt;&lt;strong&gt;13edo&lt;/strong&gt;&lt;/u&gt; octatonic wide-fifth-based, fourthwards, 3/2 maps to 8\13 = perfect 6th&lt;br /&gt;
&lt;u&gt;&lt;strong&gt;13edo&lt;/strong&gt;&lt;/u&gt; octatonic wide-fifth-based (3/2 maps to 8\13 = perfect 6th)&lt;br /&gt;
octotonic chain of sixths: M3 - M8 - M5 - M2 - M7 - P4 - P1 - P6 - m3 - m8 - m5 - m2 - m7&lt;br /&gt;
octotonic chain of sixths: M3 - M8 - M5 - M2 - M7 - P4 - P1 - P6 - m3 - m8 - m5 - m2 - m7&lt;br /&gt;
P1 - m2 - M2 - m3 - M3 - P4 - m5 - M5 - P6 - m7 - M7 - m8 - M8 - P9&lt;br /&gt;
P1 - m2 - M2 - m3 - M3 - P4 - m5 - M5 - P6 - m7 - M7 - m8 - M8 - P9&lt;br /&gt;
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