Kite's ups and downs notation: Difference between revisions
Wikispaces>TallKite **Imported revision 587607995 - Original comment: ** |
Wikispaces>TallKite **Imported revision 587608403 - 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>2016-07-23 00: | : This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-07-23 00:50:09 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>587608403</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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These are pronounced "downmajor second", "upminor third", etc. For 4ths and 5ths, "perfect" is implied and can be omitted: ^P4 = "up-fourth" and vP5 = "down-fifth". In larger edos there may be "down-octave", "up-unison", etc. | These are pronounced "downmajor second", "upminor third", etc. For 4ths and 5ths, "perfect" is implied and can be omitted: ^P4 = "up-fourth" and vP5 = "down-fifth". In larger edos there may be "down-octave", "up-unison", etc. | ||
There are some alternate names. However double-ups and double-downs are to be avoided in 22edo | There are some alternate names. However double-ups and double-downs are to be avoided in 22edo. Thus 7\22 would never be written ^^m3. In larger edos, they would be necessary. | ||
0-8-13 in C has C E & G, and is written "C" and pronounced "C" or "C major". | 0-8-13 in C has C E & G, and is written "C" and pronounced "C" or "C major". | ||
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0-6-13 = C Eb^ G is "C.^m", "C upminor" | 0-6-13 = C Eb^ G is "C.^m", "C upminor" | ||
0-5-13 = C Eb G is "Cm", "C minor" | 0-5-13 = C Eb G is "Cm", "C minor" | ||
The period isn't needed | The period isn't needed in the last chord name because there's no ups or downs immediately after the note name. | ||
0-8-13-18 = C E G Bb is "C7", "C seven", a standard C7 chord with a M3 and a m7. | 0-8-13-18 = C E G Bb is "C7", "C seven", a standard C7 chord with a M3 and a m7. | ||
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0-5-13 = C Eb G = Cm | 0-5-13 = C Eb G = Cm | ||
0-6-13 = C Eb^ G = C.^m | 0-6-13 = C Eb^ G = C.^m | ||
0-7-13 = C Ev G = C. | 0-7-13 = C Ev G = C.v | ||
0-8-13 = C E G = C | 0-8-13 = C E G = C | ||
0-9-13 = C F G = Csus4 | 0-9-13 = C F G = Csus4 | ||
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Sometimes doubled ups/downs are unavoidable: | Sometimes doubled ups/downs are unavoidable: | ||
0-6-12-15 = C Eb^ Gv Avv = Cm6(^3,v5,vv6), or C Eb^ Gb^^ Bbb = Cdim7(^3,^^5) | 0-6-12-15 = C Eb^ Gv Avv = Cm6(^3,v5,vv6), or C Eb^ Gb^^ Bbb = Cdim7(^3,^^5) | ||
0-8-13-17 = C E G A = C6 | 0-8-13-17 = C E G A = C6 | ||
0-7-13-16 = C Ev G Av = C.v6 | 0-8-13-16 = C E G Av = C(v6) | ||
0-7-13-17 = C Ev G A = C6(v3) | |||
0-7-13-16 = C Ev G Av = C.v6 (the down symbol applies to both the 3rd and the 6th) | |||
0-5-13-18 = C Eb G Bb = Cm7 | 0-5-13-18 = C Eb G Bb = Cm7 | ||
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0-8-13-21 = C E G B = CM7 | 0-8-13-21 = C E G B = CM7 | ||
0-5-13-16 = C Eb G Av = | 0-5-13-16 = C Eb G Av = Cm(v6) | ||
0-8-13-19 = C E G Bb^ = | 0-8-13-19 = C E G Bb^ = C(^7) | ||
0-7-13-18-26 = C Ev G Bb D = C9(v3) | 0-7-13-18-26 = C Ev G Bb D = C9(v3) | ||
0-7-13-18-26-32 = C Ev G Bb D F^ = | 0-7-13-18-26-32 = C Ev G Bb D F^ = C9(v3,^11) | ||
You can write out chord progressions using ups/downs notation to name the roots. Here's the first 4 chords of Paul Erlich's 22edo composition "Tibia": | You can write out chord progressions using ups/downs notation to name the roots. Here's the first 4 chords of Paul Erlich's 22edo composition "Tibia": | ||
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chord components: 1 ^1/vv2 v2 2 ^2 v3 3 ^3 v4 4 ^4 v5 5 ^5 v6 6 ^6 v7 7 ^7 ^^7/v8 | chord components: 1 ^1/vv2 v2 2 ^2 v3 3 ^3 v4 4 ^4 v5 5 ^5 v6 6 ^6 v7 7 ^7 ^^7/v8 | ||
chord roots: I ^I vII II ^II vIII III vIII vIV IV ^IV vV V ^V vVI VI ^VI vVII VII ^VII vI | 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 = D E A = Dsus2 | 0-3-12 = D E A = Dsus2 | ||
0-4-12 = D Fvv A = D.vv, or D E^ A = Dsus^2 | 0-4-12 = D Fvv A = D.vv, or D E^ A = Dsus^2 | ||
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0-6-12 = D F A = D.~ ("D dot mid") | 0-6-12 = D F A = D.~ ("D dot mid") | ||
0-7-12 = D F^ A = D.^ ("D dot up") | 0-7-12 = D F^ A = D.^ ("D dot up") | ||
0-8-12 = ^^ or | 0-8-12 = D F^^ A = D.^^, or D Gv A = Dsusv4 | ||
0-9-12 = | 0-9-12 = D G A = Dsus4 | ||
0-6-11 = ~(v5) | 0-6-11 = D F Av = D.~(v5) | ||
0-6-12-18 = | 0-6-12-18 = D F A C = D7 | ||
0-7-12-18 = | 0-7-12-18 = D F^ A C = D7(^3) | ||
0-7-12-19 = ^7 | 0-7-12-19 = D F^ A C^ = D.^7 | ||
0-7-12-17 = ^(v7) | 0-7-12-17 = D F^ A Cv = D.^(v7) | ||
0-6-12-15 = | 0-6-12-15 = D F A B = D6 | ||
0-7-12-15 = | 0-7-12-15 = D F^ A B = D6(^3) | ||
0-7-12-16 = ^6 | 0-7-12-16 = D F^ A B^ = D.^6 | ||
0-7-12-14 = ^(v6) | 0-7-12-14 = D F^ A Bv = D.^(v6) | ||
24edo: D * * * E * F * * * G * * * A * * * B * C * * * D, 2 keys per #/b. | 24edo: D * * * E * F * * * G * * * A * * * B * C * * * D, 2 keys per #/b. | ||
chord components: P1 vm2 m2 | chord components: P1 vm2 m2 ~2 M2 vm3 m3 ~3 M3 ^M3/vP4 P4 ^P4 A4/d5 vP5 P5 vm6 m6 ~6 M6 ^M6/vm7 m7 ~7 M7 ^M7 | ||
chord roots: I v#I/vbII #I/bII vII II vbIII bIII vIII III ^III/vIV IV ^IV #IV/bV vV V ^#V/vbVI bVI vVI VI ^VI/vbVII bVII vVII VII ^VII/vI | chord roots: I v#I/vbII #I/bII vII II vbIII bIII vIII III ^III/vIV IV ^IV #IV/bV vV V ^#V/vbVI bVI vVI VI ^VI/vbVII bVII vVII VII ^VII/vI | ||
0-5-14 = vm | 0-5-14 = D Fv A = D.vm | ||
0-6-14 = | 0-6-14 = D F A = Dm | ||
0-7-14 = ~ | 0-7-14 = D F^ A = D.~ | ||
0-8-14 = | 0-8-14 = D F# A = D (major) | ||
0-9-14 = ^ | 0-9-14 = D F#^ A = D.^ | ||
0-10-14 = | 0-10-14 = D G A = Dsus4 | ||
31edo: D * * * * E * * F * * * * G * * * * A etc. 2 keys per #/b. | 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. | 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. | I ^I vbII bII vII II ^II vbIII bIII vIII III ^III vIV IV ^IV #IV bV vV V etc. | ||
0-7-18 = vm | 0-7-18 = D Fv A = D.vm | ||
0-8-18 = | 0-8-18 = D F A = Dm | ||
0-9-18 = ~ | 0-9-18 = D F^ A = D.~ | ||
0-10-18 = | 0-10-18 = D F# A = D (major) | ||
0-11-18 = ^ | 0-11-18 = D F#^ A = D.^ | ||
0-12-18 = | 0-12-18 = D Gv A = Dsusv4 | ||
==**__Cross-EDO considerations__**== | ==**__Cross-EDO considerations__**== | ||
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These are pronounced &quot;downmajor second&quot;, &quot;upminor third&quot;, etc. For 4ths and 5ths, &quot;perfect&quot; is implied and can be omitted: ^P4 = &quot;up-fourth&quot; and vP5 = &quot;down-fifth&quot;. In larger edos there may be &quot;down-octave&quot;, &quot;up-unison&quot;, etc.<br /> | These are pronounced &quot;downmajor second&quot;, &quot;upminor third&quot;, etc. For 4ths and 5ths, &quot;perfect&quot; is implied and can be omitted: ^P4 = &quot;up-fourth&quot; and vP5 = &quot;down-fifth&quot;. In larger edos there may be &quot;down-octave&quot;, &quot;up-unison&quot;, etc.<br /> | ||
<br /> | <br /> | ||
There are some alternate names. However double-ups and double-downs are to be avoided in 22edo | There are some alternate names. However double-ups and double-downs are to be avoided in 22edo. Thus 7\22 would never be written ^^m3. In larger edos, they would be necessary. <br /> | ||
<br /> | <br /> | ||
0-8-13 in C has C E &amp; G, and is written &quot;C&quot; and pronounced &quot;C&quot; or &quot;C major&quot;.<br /> | 0-8-13 in C has C E &amp; G, and is written &quot;C&quot; and pronounced &quot;C&quot; or &quot;C major&quot;.<br /> | ||
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0-6-13 = C Eb^ G is &quot;C.^m&quot;, &quot;C upminor&quot;<br /> | 0-6-13 = C Eb^ G is &quot;C.^m&quot;, &quot;C upminor&quot;<br /> | ||
0-5-13 = C Eb G is &quot;Cm&quot;, &quot;C minor&quot;<br /> | 0-5-13 = C Eb G is &quot;Cm&quot;, &quot;C minor&quot;<br /> | ||
The period isn't needed | The period isn't needed in the last chord name because there's no ups or downs immediately after the note name.<br /> | ||
<br /> | <br /> | ||
0-8-13-18 = C E G Bb is &quot;C7&quot;, &quot;C seven&quot;, a standard C7 chord with a M3 and a m7.<br /> | 0-8-13-18 = C E G Bb is &quot;C7&quot;, &quot;C seven&quot;, a standard C7 chord with a M3 and a m7.<br /> | ||
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0-5-13 = C Eb G = Cm<br /> | 0-5-13 = C Eb G = Cm<br /> | ||
0-6-13 = C Eb^ G = C.^m<br /> | 0-6-13 = C Eb^ G = C.^m<br /> | ||
0-7-13 = C Ev G = C. | 0-7-13 = C Ev G = C.v<br /> | ||
0-8-13 = C E G = C<br /> | 0-8-13 = C E G = C<br /> | ||
0-9-13 = C F G = Csus4<br /> | 0-9-13 = C F G = Csus4<br /> | ||
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Sometimes doubled ups/downs are unavoidable:<br /> | Sometimes doubled ups/downs are unavoidable:<br /> | ||
0-6-12-15 = C Eb^ Gv Avv = Cm6(^3,v5,vv6), or C Eb^ Gb^^ Bbb = Cdim7(^3,^^5)<br /> | 0-6-12-15 = C Eb^ Gv Avv = Cm6(^3,v5,vv6), or C Eb^ Gb^^ Bbb = Cdim7(^3,^^5)<br /> | ||
<br /> | |||
0-8-13-17 = C E G A = C6<br /> | 0-8-13-17 = C E G A = C6<br /> | ||
0-7-13-16 = C Ev G Av = C.v6<br /> | 0-8-13-16 = C E G Av = C(v6)<br /> | ||
0-7-13-17 = C Ev G A = C6(v3)<br /> | |||
0-7-13-16 = C Ev G Av = C.v6 (the down symbol applies to both the 3rd and the 6th)<br /> | |||
<br /> | <br /> | ||
0-5-13-18 = C Eb G Bb = Cm7<br /> | 0-5-13-18 = C Eb G Bb = Cm7<br /> | ||
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0-8-13-21 = C E G B = CM7<br /> | 0-8-13-21 = C E G B = CM7<br /> | ||
<br /> | <br /> | ||
0-5-13-16 = C Eb G Av = | 0-5-13-16 = C Eb G Av = Cm(v6)<br /> | ||
0-8-13-19 = C E G Bb^ = | 0-8-13-19 = C E G Bb^ = C(^7)<br /> | ||
0-7-13-18-26 = C Ev G Bb D = C9(v3)<br /> | 0-7-13-18-26 = C Ev G Bb D = C9(v3)<br /> | ||
0-7-13-18-26-32 = C Ev G Bb D F^ = | 0-7-13-18-26-32 = C Ev G Bb D F^ = C9(v3,^11)<br /> | ||
<br /> | <br /> | ||
You can write out chord progressions using ups/downs notation to name the roots. Here's the first 4 chords of Paul Erlich's 22edo composition &quot;Tibia&quot;:<br /> | You can write out chord progressions using ups/downs notation to name the roots. Here's the first 4 chords of Paul Erlich's 22edo composition &quot;Tibia&quot;:<br /> | ||
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chord components: 1 ^1/vv2 v2 2 ^2 v3 3 ^3 v4 4 ^4 v5 5 ^5 v6 6 ^6 v7 7 ^7 ^^7/v8<br /> | chord components: 1 ^1/vv2 v2 2 ^2 v3 3 ^3 v4 4 ^4 v5 5 ^5 v6 6 ^6 v7 7 ^7 ^^7/v8<br /> | ||
chord roots: I ^I vII II ^II vIII III vIII vIV IV ^IV vV V ^V vVI VI ^VI vVII VII ^VII vI<br /> | chord roots: I ^I vII II ^II vIII III vIII vIV IV ^IV vV V ^V vVI VI ^VI vVII VII ^VII vI<br /> | ||
0-3-12 = D E A = Dsus2<br /> | 0-3-12 = D E A = Dsus2<br /> | ||
0-4-12 = D Fvv A = D.vv, or D E^ A = Dsus^2<br /> | 0-4-12 = D Fvv A = D.vv, or D E^ A = Dsus^2<br /> | ||
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0-6-12 = D F A = D.~ (&quot;D dot mid&quot;)<br /> | 0-6-12 = D F A = D.~ (&quot;D dot mid&quot;)<br /> | ||
0-7-12 = D F^ A = D.^ (&quot;D dot up&quot;)<br /> | 0-7-12 = D F^ A = D.^ (&quot;D dot up&quot;)<br /> | ||
0-8-12 = ^^ or | 0-8-12 = D F^^ A = D.^^, or D Gv A = Dsusv4<br /> | ||
0-9-12 = | 0-9-12 = D G A = Dsus4<br /> | ||
0-6-11 = ~(v5)<br /> | 0-6-11 = D F Av = D.~(v5)<br /> | ||
<br /> | <br /> | ||
0-6-12-18 = | 0-6-12-18 = D F A C = D7<br /> | ||
0-7-12-18 = | 0-7-12-18 = D F^ A C = D7(^3)<br /> | ||
0-7-12-19 = ^7<br /> | 0-7-12-19 = D F^ A C^ = D.^7<br /> | ||
0-7-12-17 = ^(v7)<br /> | 0-7-12-17 = D F^ A Cv = D.^(v7)<br /> | ||
0-6-12-15 = | 0-6-12-15 = D F A B = D6<br /> | ||
0-7-12-15 = | 0-7-12-15 = D F^ A B = D6(^3)<br /> | ||
0-7-12-16 = ^6<br /> | 0-7-12-16 = D F^ A B^ = D.^6<br /> | ||
0-7-12-14 = ^(v6)<br /> | 0-7-12-14 = D F^ A Bv = D.^(v6)<br /> | ||
<br /> | <br /> | ||
24edo: D * * * E * F * * * G * * * A * * * B * C * * * D, 2 keys per #/b.<br /> | 24edo: D * * * E * F * * * G * * * A * * * B * C * * * D, 2 keys per #/b.<br /> | ||
chord components: P1 vm2 m2 | chord components: P1 vm2 m2 ~2 M2 vm3 m3 ~3 M3 ^M3/vP4 P4 ^P4 A4/d5 vP5 P5 vm6 m6 ~6 M6 ^M6/vm7 m7 ~7 M7 ^M7<br /> | ||
chord roots: I v#I/vbII #I/bII vII II vbIII bIII vIII III ^III/vIV IV ^IV #IV/bV vV V ^#V/vbVI bVI vVI VI ^VI/vbVII bVII vVII VII ^VII/vI<br /> | chord roots: I v#I/vbII #I/bII vII II vbIII bIII vIII III ^III/vIV IV ^IV #IV/bV vV V ^#V/vbVI bVI vVI VI ^VI/vbVII bVII vVII VII ^VII/vI<br /> | ||
0-5-14 = vm<br /> | 0-5-14 = D Fv A = D.vm<br /> | ||
0-6-14 = | 0-6-14 = D F A = Dm<br /> | ||
0-7-14 = ~<br /> | 0-7-14 = D F^ A = D.~<br /> | ||
0-8-14 = | 0-8-14 = D F# A = D (major)<br /> | ||
0-9-14 = ^ | 0-9-14 = D F#^ A = D.^<br /> | ||
0-10-14 = | 0-10-14 = D G A = Dsus4<br /> | ||
<br /> | <br /> | ||
31edo: D * * * * E * * F * * * * G * * * * A etc. 2 keys per #/b.<br /> | 31edo: D * * * * E * * F * * * * G * * * * A etc. 2 keys per #/b.<br /> | ||
P1 ^P1 vm2 m2 vM2 M2 ^M2 vm3 m3 vM3 M3 ^M3 vP4 P4 ^P4 A4 d5 vP5 P5 etc.<br /> | P1 ^P1 vm2 m2 vM2 M2 ^M2 vm3 m3 vM3 M3 ^M3 vP4 P4 ^P4 A4 d5 vP5 P5 etc.<br /> | ||
I ^I vbII bII vII II ^II vbIII bIII vIII III ^III vIV IV ^IV #IV bV vV V etc.<br /> | I ^I vbII bII vII II ^II vbIII bIII vIII III ^III vIV IV ^IV #IV bV vV V etc.<br /> | ||
0-7-18 = vm<br /> | 0-7-18 = D Fv A = D.vm<br /> | ||
0-8-18 = | 0-8-18 = D F A = Dm<br /> | ||
0-9-18 = ~<br /> | 0-9-18 = D F^ A = D.~<br /> | ||
0-10-18 = | 0-10-18 = D F# A = D (major)<br /> | ||
0-11-18 = ^ | 0-11-18 = D F#^ A = D.^<br /> | ||
0-12-18 = | 0-12-18 = D Gv A = Dsusv4<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="Naming Chords-Cross-EDO considerations"></a><!-- ws:end:WikiTextHeadingRule:16 --><strong><u>Cross-EDO considerations</u></strong></h2> | <!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="Naming Chords-Cross-EDO considerations"></a><!-- ws:end:WikiTextHeadingRule:16 --><strong><u>Cross-EDO considerations</u></strong></h2> |