Kite's ups and downs notation: Difference between revisions

<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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

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

Gb^ Db^ Ab^ Eb^ Bb^ Gb Db Ab Eb Bb F C G D A E B Gv Dv Av Ev Bv

Gx Dx Ax F# C# G# D# A# F C G D A Fb Cb Gb Db Ab Fbb Cbb Gbb Dbb

__**Staff Notation**__

For staff notation, just put an up or down to the left of the note and any standard accidental it might have. To write Db^ followed by Db in the same measure, use the mid sign: Db^ Db~. All 22 possible keys can be written out. The tonic is always a mid note, i.e. not up or down. Just as conventionally each black key produces both a sharp key and a flat key (Db major and C# minor), each of the 15 black keys of 22-EDO produces both, and there are 37 possible keys. The 2 most remote are Bbbb and F###, and triple-sharps and triple-flat keys seem rather extreme. Avoiding those, we have 35 possible tonics that run from Fbb to Bx. Some of the key signatures will have double-sharps or double-flats in them, or even triple-sharps.

C: no sharps

C#: 7 sharps

G#: 6 sharps, 1 double-sharp on F

D#: 5 sharps, 2 double-sharps on F and C

Bx: 2 double-sharps on E and B, 5 triple-sharps on F, C, G, D and A

=__Naming Chords__=  

There are 3 special cases to be addressed. The first is when the edo's 5th is narrower than 4\7, as in 16edo. Major is defined as always wider than minor, so major is not fifthwards but fourthwards:

0-5-9-12 = vM,m7

chord components: P1 d2 m2 M2 m3 M3 A3/d4 P4 A4/d5 P5 d6 m6 M6/d7 m7 M7 A7 P8

chord roots: I #I/bbII bII II bIII III #III/vIV IV #IV/bV V #V/bbVI bVI VI bVII VII #VII/bI

0-3-9 = sus2

0-4-9 = m

21edo: D * * E * * F * * G * * A * * B * * C * * D, zero keys per #/b.

chord components: P1 ^P1/vvP2 vP2 P2 ^P2 vP3 P3 ^P3 vP4 P4 ^P4 vP5 P5 ^P5 vP6 P6 ^P6 vP7 P7 ^P7 ^^P7/vP8

chord roots: I ^I vII II ^II vIII III vIII vIV IV ^IV vV V ^V vVI VI ^VI vVII VII ^VII vI

0-3-12 = sus2

0-4-12 = vv or sus^2

0-8-12 = ^^ or susv4

0-9-12 = sus4

0-7-12-15 = ^,~6

0-7-12-14 = ^,v6

24edo: D * * * E * F * * * G * * * A * * * B * C * * * D, 2 keys per #/b.

==__EDOs with an inaccurate 3/2__==  

<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;Ups and Downs Notation&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x&amp;quot;Ups and Downs&amp;quot; Notation"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&amp;quot;Ups and Downs&amp;quot; Notation&lt;/h1&gt;

Gb^ Db^ Ab^ Eb^ Bb^ Gb Db Ab Eb Bb F C G D A E B Gv Dv Av Ev Bv&lt;br /&gt;

&lt;br /&gt;

&lt;br /&gt;

Gx Dx Ax F# C# G# D# A# F C G D A Fb Cb Gb Db Ab Fbb Cbb Gbb Dbb&lt;br /&gt;

&lt;u&gt;&lt;strong&gt;Staff Notation&lt;/strong&gt;&lt;/u&gt;&lt;br /&gt;

For staff notation, just put an up or down to the left of the note and any standard accidental it might have. To write Db^ followed by Db in the same measure, use the mid sign: Db^ Db~. All 22 possible keys can be written out. The tonic is always a mid note, i.e. not up or down. Just as conventionally each black key produces both a sharp key and a flat key (Db major and C# minor), each of the 15 black keys of 22-EDO produces both, and there are 37 possible keys. The 2 most remote are Bbbb and F###, and triple-sharps and triple-flat keys seem rather extreme. Avoiding those, we have 35 possible tonics that run from Fbb to Bx. Some of the key signatures will have double-sharps or double-flats in them, or even triple-sharps.&lt;br /&gt;

C: no sharps&lt;br /&gt;

C#: 7 sharps&lt;br /&gt;

G#: 6 sharps, 1 double-sharp on F&lt;br /&gt;

D#: 5 sharps, 2 double-sharps on F and C&lt;br /&gt;

Bx: 2 double-sharps on E and B, 5 triple-sharps on F, C, G, D and A&lt;br /&gt;

&lt;br /&gt;

&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Naming Chords"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;&lt;u&gt;Naming Chords&lt;/u&gt;&lt;/h1&gt;

  &lt;br /&gt;

&lt;br /&gt;

There are 3 special cases to be addressed. The first is when the edo's 5th is narrower than 4\7, as in 16edo. Major is defined as always wider than minor, so major is not fifthwards but fourthwards:&lt;br /&gt;

0-5-9-12 = vM,m7&lt;br /&gt;

&lt;br /&gt;

chord components: P1 d2 m2 M2 m3 M3 A3/d4 P4 A4/d5 P5 d6 m6 M6/d7 m7 M7 A7 P8&lt;br /&gt;

chord roots: I #I/bbII bII II bIII III #III/vIV IV #IV/bV V #V/bbVI bVI VI bVII VII #VII/bI&lt;br /&gt;

0-3-9 = sus2&lt;br /&gt;

0-4-9 = m&lt;br /&gt;

21edo: D * * E * * F * * G * * A * * B * * C * * D, zero keys per #/b.&lt;br /&gt;

chord components: P1 ^P1/vvP2 vP2 P2 ^P2 vP3 P3 ^P3 vP4 P4 ^P4 vP5 P5 ^P5 vP6 P6 ^P6 vP7 P7 ^P7 ^^P7/vP8&lt;br /&gt;

chord roots: I ^I vII II ^II vIII III vIII vIV IV ^IV vV V ^V vVI VI ^VI vVII VII ^VII vI&lt;br /&gt;

0-3-12 = sus2&lt;br /&gt;

0-4-12 = vv or sus^2&lt;br /&gt;

0-8-12 = ^^ or susv4&lt;br /&gt;

0-9-12 = sus4&lt;br /&gt;

0-7-12-15 = ^,~6&lt;br /&gt;

0-7-12-14 = ^,v6&lt;br /&gt;

&lt;br /&gt;

24edo: D * * * E * F * * * G * * * A * * * B * C * * * D, 2 keys per #/b.&lt;br /&gt;

&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Naming Chords-EDOs with an inaccurate 3/2"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;&lt;u&gt;EDOs with an inaccurate 3/2&lt;/u&gt;&lt;/h2&gt;

  &lt;br /&gt;

&lt;br /&gt;

&lt;br /&gt;

&lt;br /&gt;