Kite Guitar originals: Difference between revisions

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See also: [[Ups and downs notation]]

===Scales and key signatures===

Any scale without arrows is just as one would expect. D minor is still D E F G A Bb C D. Adding up or down to the scale name alters the 3rd, 6th and 7th. Thus D upminor is D E ^F G A ^Bb ^C D. If the tonic has an arrow, it's added to every note: vD ~~upminor~~ = vD vE F vG vA ~~Bb C~~ vD.

Any scale without arrows is just as one would expect. D minor is still D E F G A Bb C D. Adding up or down to the scale name alters the 3rd, 6th and 7th. Thus D upminor is D E ^F G A ^Bb ^C D. If the tonic has an arrow, it's added to every note: vD minor = vD vE vF vG vA vBb vC vD. Sometimes the scale's arrows cancel out the tonic's arrow; see ^D downmajor and vD upminor below.

The key signature is divided into two regions. The sharp/flat region is as usual, except it can also have double-sharps or double-flats (e.g. Db minor has Bbb). The arrow region consists of up to two stacks, a '''quadruple stack''' for the tonic, 2nd 4th and 5th, and/or a '''triple stack''' for the 3rd, 6th and 7th.

{| class="wikitable"

|+

!

! rowspan="2" |

! colspan="3" |tonic

|-

!D

!up-D

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|-

! major

scale

|[[File:D major.png|frameless|137x137px]]

D E F# G A B C# D

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|-

! downmajor

scale

|[[File:D downmajor.png|frameless|137x137px]]

D E vF# G A vB vC# D

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|-

!minor

scale

|[[File:D minor.png|frameless|142x142px]]

D E F G A Bb C D

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|-

!upminor

scale

|[[File:D upminor.png|frameless|140x140px]]

D E ^F G A ^Bb ^C D

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Upmajor and downminor work similarly.

~~Both stacks~~ always ~~have~~ the exact same shape. The only differences are whether the arrows point up or down, and whether they are single or double. The lowest arrow in the quadruple stack always indicates the tonic. The triple stack's lowest arrow indicates the 3rd, and its highest arrow indicates the 7th. Thus it's quite easy to deduce the tonic. Note that C downmajor and vA upminor have slightly different key signatures. The former has plain D and the latter has down D.

The quadruple stack always has the exact same shape: two below and two above. Likewise, the triple stack is always one below, two above. The only differences are whether the arrows point up or down, and whether they are single or double. The lowest arrow in the quadruple stack always indicates the tonic. The triple stack's lowest arrow indicates the 3rd, and its highest arrow indicates the 7th. Thus it's quite easy to deduce the tonic. Note that C downmajor and vA upminor have slightly different key signatures. The former has plain D and the latter has down D.

Modal key signatures are possible, e.g. G downmixolydian is G A vB C D vE vF G.

See also: [[Kite's Thoughts on 41edo Note Names and Key Signatures]]

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|

|}

This approach often minimizes clutter greatly ~~because of how 41edo works~~. ~~The key of D downmajor has vC#. Of all the various C-naturals, often the most likely one is vC.~~

This approach often minimizes clutter greatly. See also: [[Kite's Thoughts on 41edo Note Names and Key Signatures]]

See also: [[Kite's Thoughts on 41edo Note Names and Key Signatures]]

===Interval names===

Intervals also use arrows. If D is 0¢ and E is +5¢, a major 2nd is 205¢, so an ~~upmajor~~ 2nd ~~must be~~ about 235¢.

Intervals also use arrows. Since D is 0¢ and E is +5¢, a major 2nd is 205¢. Since an arrow is about 30¢, an upmajor 2nd is about 235¢.

This table lists all the intervals. There are 7 versions of every scale degree: 3 major versions, 3 minor versions, and a '''mid''' version midway between major and minor (e.g. ~2). The 7 fourths overlap with the 7 fifths, making 4 tritones. There are only 3 versions of the octave. Just like the notes, most intervals have alternate names. A few are shown here, e.g. aug unisons and aug 5ths.

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Any chord name without arrows is as expected. Cm7 is still C Eb G Bb. But in practice most chords have arrows in them. An arrow between the chord root and the chord type (e.g. C^m7) raises or lowers the 3rd, and also the 6th, 7th or 11th, if present. Thus C down-seven is the usual C7 chord with the 3rd and 7th downed: Cv7 = C vE G vBb. Mnemonic: every other note of a stacked-3rds chord with a 6th below the root is affected: '''6th''' - root - '''3rd''' - 5th - '''7th''' - 9th - '''11th''' - 13th. Note that the 6th is affected, but the 13th is not.

If the 3rd is downed but the ~~minor~~ 7th is not, the chord is named C-down add7, written Cv,7. The comma before the 7 means "add".

In a dom7 chord, if the 3rd is downed but the 7th is not, the chord is named C-down add7, written Cv,7. The comma before the 7 means "add".

Analogous to M and m, "a" means augmented and "d" means diminished. Thus C^a = C ^E G# and Bvd7 = B vD F vAb. Half-diminished chords are named as dim add7 chords. For example, C ^Eb Gb ^Bb is C updim up-7, written C^d^7.

Alterations are enclosed in parentheses, additions never are. For example Cv(vv#5) is C vE vvG#.

Alterations are enclosed in parentheses, additions never are. For example Cv(vv#5) is C vE vvG#. However sus chords are written C4 or C2 as usual.

Chord roots often have arrows. The arrows add up and cancel out as expected. Thus ~~vA^m~~ = vA C vE, and ~~vAvm~~ = vA ~~vvC~~ vE.

Chord roots often have arrows. The arrows add up and cancel out as expected. Thus vAvm = vA vvC vE, and vA^m = vA C vE.

@@ Line 524: / Line 524: @@
 See also: [[Ups and downs notation]]
 ===Scales and key signatures===
-Any scale without arrows is just as one would expect. D minor is still D E F G A Bb C D. Adding up or down to the scale name alters the <u>3rd, 6th and 7th</u>. Thus D upminor is D E ^F G A ^Bb ^C D. If the tonic has an arrow, it's added to every note: vD upminor = vD vE F vG vA Bb C vD.
+Any scale without arrows is just as one would expect. D minor is still D E F G A Bb C D. Adding up or down to the scale name alters the <u>3rd, 6th and 7th</u>. Thus D upminor is D E ^F G A ^Bb ^C D. If the tonic has an arrow, it's added to every note: vD minor = vD vE vF vG vA vBb vC vD. Sometimes the scale's arrows cancel out the tonic's arrow; see ^D downmajor and vD upminor below.
 The key signature is divided into two regions. The sharp/flat region is as usual, except it can also have double-sharps or double-flats (e.g. Db minor has Bbb). The arrow region consists of up to two stacks, a '''quadruple stack''' for the tonic, 2nd 4th and 5th, and/or a '''triple stack''' for the 3rd, 6th and 7th.
 {| class="wikitable"
 |+
-!
+! rowspan="2" |
+! colspan="3" |tonic
+|-
 !D
 !up-D
@@ Line 535: / Line 537: @@
 |-
 ! major
+scale
 |[[File:D major.png|frameless|137x137px]]
 D E F# G A B C# D
@@ Line 543: / Line 546: @@
 |-
 ! downmajor
+scale
 |[[File:D downmajor.png|frameless|137x137px]]
 D E vF# G A vB vC# D
@@ Line 551: / Line 555: @@
 |-
 !minor
+scale
 |[[File:D minor.png|frameless|142x142px]]
 D E F G A Bb C D
@@ Line 559: / Line 564: @@
 |-
 !upminor
+scale
 |[[File:D upminor.png|frameless|140x140px]]
 D E ^F G A ^Bb ^C D
@@ Line 568: / Line 574: @@
 Upmajor and downminor work similarly.
-Both stacks always have the exact same shape. The only differences are whether the arrows point up or down, and whether they are single or double. The lowest arrow in the quadruple stack always indicates the tonic. The triple stack's lowest arrow indicates the 3rd, and its highest arrow indicates the 7th. Thus it's quite easy to deduce the tonic. Note that C downmajor and vA upminor have slightly different key signatures. The former has plain D and the latter has down D.
+The quadruple stack always has the exact same shape: two below and two above. Likewise, the triple stack is always one below, two above. The only differences are whether the arrows point up or down, and whether they are single or double. The lowest arrow in the quadruple stack always indicates the tonic. The triple stack's lowest arrow indicates the 3rd, and its highest arrow indicates the 7th. Thus it's quite easy to deduce the tonic. Note that C downmajor and vA upminor have slightly different key signatures. The former has plain D and the latter has down D.
+Modal key signatures are possible, e.g. G downmixolydian is G A vB C D vE vF G.
 See also: [[Kite's Thoughts on 41edo Note Names and Key Signatures]]
@@ Line 789: / Line 797: @@
 |
 |}
-This approach often minimizes clutter greatly because of how 41edo works. The key of D downmajor has vC#. Of all the various C-naturals, often the most likely one is vC.
+This approach often minimizes clutter greatly. See also: [[Kite's Thoughts on 41edo Note Names and Key Signatures]]
-See also: [[Kite's Thoughts on 41edo Note Names and Key Signatures]]
 ===Interval names===
-Intervals also use arrows. If D is 0¢ and E is +5¢, a major 2nd is 205¢, so an upmajor 2nd must be about 235¢.
+Intervals also use arrows. Since D is 0¢ and E is +5¢, a major 2nd is 205¢. Since an arrow is about 30¢, an <u>up</u>major 2nd is about 235¢.
 This table lists all the intervals. There are 7 versions of every scale degree: 3 major versions, 3 minor versions, and a '''mid''' version midway between major and minor (e.g. ~2). The 7 fourths overlap with the 7 fifths, making 4 tritones. There are only 3 versions of the octave. Just like the notes, most intervals have alternate names. A few are shown here, e.g. aug unisons and aug 5ths.
@@ Line 1,155: / Line 1,161: @@
 Any chord name without arrows is as expected. Cm7 is still C Eb G Bb. But in practice most chords have arrows in them. An arrow between the chord root and the chord type (e.g. C^m7) raises or lowers the 3rd, and also the 6th, 7th or 11th, if present. Thus C down-seven is the usual C7 chord with the 3rd and 7th downed: Cv7 = C vE G vBb. Mnemonic: every other note of a stacked-3rds chord with a 6th below the root is affected: '''6th''' - root - '''3rd''' - 5th - '''7th''' - 9th - '''11th''' - 13th. Note that the 6th is affected, but the 13th is not.
-If the 3rd is downed but the minor 7th is not, the chord is named C-down add7, written Cv,7. The comma before the 7 means "add".
+In a dom7 chord, if the 3rd is downed but the 7th is not, the chord is named C-down add7, written Cv,7. The comma before the 7 means "add".
 Analogous to M and m, "a" means augmented and "d" means diminished. Thus C^a = C ^E G# and Bvd7 = B vD F vAb. Half-diminished chords are named as dim add7 chords. For example, C ^Eb Gb ^Bb is C updim up-7, written C^d^7.
-Alterations are enclosed in parentheses, additions never are. For example Cv(vv#5) is C vE vvG#.
+Alterations are enclosed in parentheses, additions never are. For example Cv(vv#5) is C vE vvG#. However sus chords are written C4 or C2 as usual.
-Chord roots often have arrows. The arrows add up and cancel out as expected. Thus vA^m = vA C vE, and vAvm = vA vvC vE.
+Chord roots often have arrows. The arrows add up and cancel out as expected. Thus vAvm = vA vvC vE, and vA^m = vA C vE.
 See also: