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>2015-08-31 19:54:31 UTC</tt>.

: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2015-08-31 20:01:05 UTC</tt>.

: The original revision id was <tt>~~557847281~~</tt>.

: The original revision id was <tt>557847993</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 136:

==__22edo chord names__==

Chord names are based entirely on the ups/downs interval names:

Chord names are based entirely on the ups/downs interval names, not on JI ratios. This avoids identifying one EDOstep with multiple ratios, as happens when 0-7-18 implies 4:5:7 but 0-9-18 implies 9:12:16. 18\22 is neither 7/4 nor 16/9, it's 18\22!

0\22 = P1

Line 216:

^bVIvM,M9 = "up-flat six downmajor, major nine"

Im7,-5 = "one minor seven, no five"

IIvM,m7 = "two downmajor, minor seven"</pre></div>

IIvM,m7 = "two downmajor, minor seven"

==__Chord names in other EDOs__==

15edo: use 3/2 as a notation generator, 3 keys per #/b, so ^/v is needed.

keyboard/fretboard: D * * E/F * * G * * A * * B/C * * D

(the chain of generators is always centered on D)

chord components: P1 ^m2 vM2 M2/m3 ^m3 vM3 P4 ^P4 vP5 P5 ^m6 vM6 M6/m7 ^m7 vM7 P8

chord roots: I ^bII vII II/bIII ^bIII vIII IV ^IV vV V ^bVI vVI VI/bVII ^bVII vVII

0-3-9 = m

0-4-9 = ^m

0-5-9 = vM

0-6-9 = sus4 (or possibly M)

0-5-9-12 = vM,m7

16edo: D * E * * F * G * A * B * * C * D, 1 key per #/b, ^/v not needed.

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

0-2-9 = sus2

0-3-9 = susM2

0-4-9 = m

0-5-9 = M

0-5-10 = M,A5 (aug chord)

0-6-9 = A3

0-7-9 = sus4

0-4-8-12 = m,d5,d7 (dim tetrad)

17edo: D * * E F * * G * * A * * B C * * D, 2 keys per #/b.

chord components: P1 m2 ^m2/vM2 M2 m3 ^m3/vM3 M3 P4 ^P4/d5 A4/vP5 P5 m6 ^m6/vM6 M6 m7 ^m7/vM7 M7 P8

chord roots: I v#I/bII #I/vII II bIII vIII III IV ^IV/bV #IV/vV V #V/bVI vVI VI bVII vVII VII

0-4-10 = m

0-5-10 = ^m or vM (probably choose vM over ^m whenever possible)

0-6-10 = M

0-7-10 = sus4

0-4-10-14 = m7

0-5-10-15 = vM7

0-6-10-16 = M7

Sure, we could replace downmajor with n = neutral, but that spoils the economy -- two new words up & down, and we can name everything!

19edo: D * * E * F * * G * * A * * B * C * * D, ^/v not needed.

chord components: P1 d2 m2 M2 d3 m3 M3 A3 P4 A4 d5 P5 d6 m6 M6 d7 m7 M7 A7 P8

chord roots: I v#I/bII #I/vII II bIII vIII III IV ^IV/bV #IV/vV V #V/bVI vVI VI bVII vVII VII

Note that "dim chord" means dim 3rd, perfect 5th, and "aug chord" means aug 3rd, perfect 5th:

0-4-11 = d

0-4-10 = d,d5

0-5-11 = m

0-6-11 = M

0-7-11 = A

0-7-12 = A,A5

0-8-11 = sus4

31edo: D * * * * E * * F * * * * G * * * * A etc. 2 keys per #/b.

P1 ^P1 vm2 m2 vM2 M2 ^M2 vm3 m3 vM3 M3 ^M3 vP4 P4 ^P4 A4 d5 vP5 P5 etc.

I ^I vbII bII vII II ^II vbIII bIII vIII III ^III vIV IV ^IV #IV bV vV V etc.

0-7-18 = vm

0-8-18 = m

0-9-18 = vM

0-10-18 = M

0-11-18 = ^M

0-12-18 = sus-v4</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>Ups and Downs Notation</title></head><body><h1 id="toc0"><a name="x&quot;Ups and Downs&quot; Notation"></a>&quot;Ups and Downs&quot; Notation</h1>

Line 348:

Line 407:

<h2 id="toc2"><a name="Naming Chords-22edo chord names"></a>22edo chord names</h2>

Chord names are based entirely on the ups/downs interval names:

Chord names are based entirely on the ups/downs interval names, not on JI ratios. This avoids identifying one EDOstep with multiple ratios, as happens when 0-7-18 implies 4:5:7 but 0-9-18 implies 9:12:16. 18\22 is neither 7/4 nor 16/9, it's 18\22!

0\22 = P1

Line 428:

Line 487:

^bVIvM,M9 = &quot;up-flat six downmajor, major nine&quot;

Im7,-5 = &quot;one minor seven, no five&quot;

IIvM,m7 = &quot;two downmajor, minor seven&quot;</body></html></pre></div>

IIvM,m7 = &quot;two downmajor, minor seven&quot;

<h2 id="toc3"><a name="Naming Chords-Chord names in other EDOs"></a>Chord names in other EDOs</h2>

15edo: use 3/2 as a notation generator, 3 keys per #/b, so ^/v is needed.

keyboard/fretboard: D * * E/F * * G * * A * * B/C * * D

(the chain of generators is always centered on D)

chord components: P1 ^m2 vM2 M2/m3 ^m3 vM3 P4 ^P4 vP5 P5 ^m6 vM6 M6/m7 ^m7 vM7 P8

chord roots: I ^bII vII II/bIII ^bIII vIII IV ^IV vV V ^bVI vVI VI/bVII ^bVII vVII

0-3-9 = m

0-4-9 = ^m

0-5-9 = vM

0-6-9 = sus4 (or possibly M)

0-5-9-12 = vM,m7

16edo: D * E * * F * G * A * B * * C * D, 1 key per #/b, ^/v not needed.

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

0-2-9 = sus2

0-3-9 = susM2

0-4-9 = m

0-5-9 = M

0-5-10 = M,A5 (aug chord)

0-6-9 = A3

0-7-9 = sus4

0-4-8-12 = m,d5,d7 (dim tetrad)

17edo: D * * E F * * G * * A * * B C * * D, 2 keys per #/b.

chord components: P1 m2 ^m2/vM2 M2 m3 ^m3/vM3 M3 P4 ^P4/d5 A4/vP5 P5 m6 ^m6/vM6 M6 m7 ^m7/vM7 M7 P8

chord roots: I v#I/bII #I/vII II bIII vIII III IV ^IV/bV #IV/vV V #V/bVI vVI VI bVII vVII VII

0-4-10 = m

0-5-10 = ^m or vM (probably choose vM over ^m whenever possible)

0-6-10 = M

0-7-10 = sus4

0-4-10-14 = m7

0-5-10-15 = vM7

0-6-10-16 = M7

Sure, we could replace downmajor with n = neutral, but that spoils the economy -- two new words up &amp; down, and we can name everything!

19edo: D * * E * F * * G * * A * * B * C * * D, ^/v not needed.

chord components: P1 d2 m2 M2 d3 m3 M3 A3 P4 A4 d5 P5 d6 m6 M6 d7 m7 M7 A7 P8

chord roots: I v#I/bII #I/vII II bIII vIII III IV ^IV/bV #IV/vV V #V/bVI vVI VI bVII vVII VII

Note that &quot;dim chord&quot; means dim 3rd, perfect 5th, and &quot;aug chord&quot; means aug 3rd, perfect 5th:

0-4-11 = d

0-4-10 = d,d5

0-5-11 = m

0-6-11 = M

0-7-11 = A

0-7-12 = A,A5

0-8-11 = sus4

31edo: D * * * * E * * F * * * * G * * * * A etc. 2 keys per #/b.

P1 ^P1 vm2 m2 vM2 M2 ^M2 vm3 m3 vM3 M3 ^M3 vP4 P4 ^P4 A4 d5 vP5 P5 etc.

I ^I vbII bII vII II ^II vbIII bIII vIII III ^III vIV IV ^IV #IV bV vV V etc.

0-7-18 = vm

0-8-18 = m

0-9-18 = vM

0-10-18 = M

0-11-18 = ^M

0-12-18 = sus-v4</body></html></pre></div>

@@ 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>2015-08-31 19:54:31 UTC</tt>.<br>
+: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2015-08-31 20:01:05 UTC</tt>.<br>
-: The original revision id was <tt>557847281</tt>.<br>
+: The original revision id was <tt>557847993</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 136: / Line 136: @@
 ==__22edo chord names__==
-Chord names are based entirely on the ups/downs interval names:
+Chord names are based entirely on the ups/downs interval names, not on JI ratios. This avoids identifying one EDOstep with multiple ratios, as happens when 0-7-18 implies 4:5:7 but 0-9-18 implies 9:12:16. 18\22 is neither 7/4 nor 16/9, it's 18\22!
 \22 = P1
@@ Line 216: / Line 216: @@
 ^bVIvM,M9 = "up-flat six downmajor, major nine"
 Im7,-5 = "one minor seven, no five"
-IIvM,m7 = "two downmajor, minor seven"</pre></div>
+IIvM,m7 = "two downmajor, minor seven"
+==__Chord names in other EDOs__==
+edo: use 3/2 as a notation generator, 3 keys per #/b, so ^/v is needed.
+keyboard/fretboard: D * * E/F * * G * * A * * B/C * * D
+(the chain of generators is always centered on D)
+chord components: P1 ^m2 vM2 M2/m3 ^m3 vM3 P4 ^P4 vP5 P5 ^m6 vM6 M6/m7 ^m7 vM7 P8
+chord roots: I ^bII vII II/bIII ^bIII vIII IV ^IV vV V ^bVI vVI VI/bVII ^bVII vVII
+-3-9 = m
+-4-9 = ^m
+-5-9 = vM
+-6-9 = sus4 (or possibly M)
+-5-9-12 = vM,m7
+edo: D * E * * F * G * A * B * * C * D, 1 key per #/b, ^/v not needed.
+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
+-2-9 = sus2
+-3-9 = susM2
+-4-9 = m
+-5-9 = M
+-5-10 = M,A5 (aug chord)
+-6-9 = A3
+-7-9 = sus4
+-4-8-12 = m,d5,d7 (dim tetrad)
+edo: D * * E F * * G * * A * * B C * * D, 2 keys per #/b.
+chord components: P1 m2 ^m2/vM2 M2 m3 ^m3/vM3 M3 P4 ^P4/d5 A4/vP5 P5 m6 ^m6/vM6 M6 m7 ^m7/vM7 M7 P8
+chord roots: I v#I/bII #I/vII II bIII vIII III IV ^IV/bV #IV/vV V #V/bVI vVI VI bVII vVII VII
+-4-10 = m
+-5-10 = ^m or vM (probably choose vM over ^m whenever possible)
+-6-10 = M
+-7-10 = sus4
+-4-10-14 = m7
+-5-10-15 = vM7
+-6-10-16 = M7
+Sure, we could replace downmajor with n = neutral, but that spoils the economy -- two new words up &amp; down, and we can name everything!
+edo: D * * E * F * * G * * A * * B * C * * D, ^/v not needed.
+chord components: P1 d2 m2 M2 d3 m3 M3 A3 P4 A4 d5 P5 d6 m6 M6 d7 m7 M7 A7 P8
+chord roots: I v#I/bII #I/vII II bIII vIII III IV ^IV/bV #IV/vV V #V/bVI vVI VI bVII vVII VII
+Note that "dim chord" means dim 3rd, perfect 5th, and "aug chord" means aug 3rd, perfect 5th:
+-4-11 = d
+-4-10 = d,d5
+-5-11 = m
+-6-11 = M
+-7-11 = A
+-7-12 = A,A5
+-8-11 = sus4
+edo: D * * * * E * * F * * * * G * * * * A etc. 2 keys per #/b.
+P1 ^P1 vm2 m2 vM2 M2 ^M2 vm3 m3 vM3 M3 ^M3 vP4 P4 ^P4 A4 d5 vP5 P5 etc.
+I ^I vbII bII vII II ^II vbIII bIII vIII III ^III vIV IV ^IV #IV bV vV V etc.
+-7-18 = vm
+-8-18 = m
+-9-18 = vM
+-10-18 = M
+-11-18 = ^M
+-12-18 = sus-v4</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;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;
@@ Line 348: / Line 407: @@
 &lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Naming Chords-22edo chord names"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;&lt;u&gt;22edo chord names&lt;/u&gt;&lt;/h2&gt;
   &lt;br /&gt;
-Chord names are based entirely on the ups/downs interval names:&lt;br /&gt;
+Chord names are based entirely on the ups/downs interval names, not on JI ratios. This avoids identifying one EDOstep with multiple ratios, as happens when 0-7-18 implies 4:5:7 but 0-9-18 implies 9:12:16. 18\22 is neither 7/4 nor 16/9, it's 18\22!&lt;br /&gt;
 &lt;br /&gt;
 \22 = P1&lt;br /&gt;
@@ Line 428: / Line 487: @@
 ^bVIvM,M9 = &amp;quot;up-flat six downmajor, major nine&amp;quot;&lt;br /&gt;
 Im7,-5 = &amp;quot;one minor seven, no five&amp;quot;&lt;br /&gt;
-IIvM,m7 = &amp;quot;two downmajor, minor seven&amp;quot;&lt;/body&gt;&lt;/html&gt;</pre></div>
+IIvM,m7 = &amp;quot;two downmajor, minor seven&amp;quot;&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="Naming Chords-Chord names in other EDOs"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;&lt;u&gt;Chord names in other EDOs&lt;/u&gt;&lt;/h2&gt;
+ &lt;br /&gt;
+edo: use 3/2 as a notation generator, 3 keys per #/b, so ^/v is needed.&lt;br /&gt;
+keyboard/fretboard: D * * E/F * * G * * A * * B/C * * D&lt;br /&gt;
+(the chain of generators is always centered on D)&lt;br /&gt;
+chord components: P1 ^m2 vM2 M2/m3 ^m3 vM3 P4 ^P4 vP5 P5 ^m6 vM6 M6/m7 ^m7 vM7 P8&lt;br /&gt;
+chord roots: I ^bII vII II/bIII ^bIII vIII IV ^IV vV V ^bVI vVI VI/bVII ^bVII vVII&lt;br /&gt;
+-3-9 = m&lt;br /&gt;
+-4-9 = ^m&lt;br /&gt;
+-5-9 = vM&lt;br /&gt;
+-6-9 = sus4 (or possibly M)&lt;br /&gt;
+-5-9-12 = vM,m7&lt;br /&gt;
+&lt;br /&gt;
+edo: D * E * * F * G * A * B * * C * D, 1 key per #/b, ^/v not needed.&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;
+-2-9 = sus2&lt;br /&gt;
+-3-9 = susM2&lt;br /&gt;
+-4-9 = m&lt;br /&gt;
+-5-9 = M&lt;br /&gt;
+-5-10 = M,A5 (aug chord)&lt;br /&gt;
+-6-9 = A3&lt;br /&gt;
+-7-9 = sus4&lt;br /&gt;
+-4-8-12 = m,d5,d7 (dim tetrad)&lt;br /&gt;
+&lt;br /&gt;
+edo: D * * E F * * G * * A * * B C * * D, 2 keys per #/b.&lt;br /&gt;
+chord components: P1 m2 ^m2/vM2 M2 m3 ^m3/vM3 M3 P4 ^P4/d5 A4/vP5 P5 m6 ^m6/vM6 M6 m7 ^m7/vM7 M7 P8&lt;br /&gt;
+chord roots: I v#I/bII #I/vII II bIII vIII III IV ^IV/bV #IV/vV V #V/bVI vVI VI bVII vVII VII&lt;br /&gt;
+-4-10 = m&lt;br /&gt;
+-5-10 = ^m or vM (probably choose vM over ^m whenever possible)&lt;br /&gt;
+-6-10 = M&lt;br /&gt;
+-7-10 = sus4&lt;br /&gt;
+-4-10-14 = m7&lt;br /&gt;
+-5-10-15 = vM7&lt;br /&gt;
+-6-10-16 = M7&lt;br /&gt;
+Sure, we could replace downmajor with n = neutral, but that spoils the economy -- two new words up &amp;amp; down, and we can name everything!&lt;br /&gt;
+&lt;br /&gt;
+edo: D * * E * F * * G * * A * * B * C * * D, ^/v not needed.&lt;br /&gt;
+chord components: P1 d2 m2 M2 d3 m3 M3 A3 P4 A4 d5 P5 d6 m6 M6 d7 m7 M7 A7 P8&lt;br /&gt;
+chord roots: I v#I/bII #I/vII II bIII vIII III IV ^IV/bV #IV/vV V #V/bVI vVI VI bVII vVII VII&lt;br /&gt;
+Note that &amp;quot;dim chord&amp;quot; means dim 3rd, perfect 5th, and &amp;quot;aug chord&amp;quot; means aug 3rd, perfect 5th:&lt;br /&gt;
+-4-11 = d&lt;br /&gt;
+-4-10 = d,d5&lt;br /&gt;
+-5-11 = m&lt;br /&gt;
+-6-11 = M&lt;br /&gt;
+-7-11 = A&lt;br /&gt;
+-7-12 = A,A5&lt;br /&gt;
+-8-11 = sus4&lt;br /&gt;
+&lt;br /&gt;
+edo: D * * * * E * * F * * * * G * * * * A etc. 2 keys per #/b.&lt;br /&gt;
+P1 ^P1 vm2 m2 vM2 M2 ^M2 vm3 m3 vM3 M3 ^M3 vP4 P4 ^P4 A4 d5 vP5 P5 etc.&lt;br /&gt;
+I ^I vbII bII vII II ^II vbIII bIII vIII III ^III vIV IV ^IV #IV bV vV V etc.&lt;br /&gt;
+-7-18 = vm&lt;br /&gt;
+-8-18 = m&lt;br /&gt;
+-9-18 = vM&lt;br /&gt;
+-10-18 = M&lt;br /&gt;
+-11-18 = ^M&lt;br /&gt;
+-12-18 = sus-v4&lt;/body&gt;&lt;/html&gt;</pre></div>