Difference between revisions of "B Diminished"

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{{Top-Level Crumbs|1}}
 
{{Top-Level Crumbs|1}}
 
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{{Lesson Crumbs|2}}
 
{{Intermediate Lesson Crumbs|1}}
 
{{Intermediate Lesson Crumbs|1}}
  
So we talked about all the diatonic C Major chords except for ''B Diminished''.  Time to cover it now.
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In the [[Contents#Beginner|beginner lessons]] we talked about all the diatonic chords diatonic to C Major except ''B Diminished''.  Time to cover it now.
  
<u>Diminished Chords</u> are comprised of a root, its minor third, and its diminished 5th.  The distance between the minor third and the diminished fifth is another minor third, so the chord is composed of 2 minor thirds and 1 diminished fifth (and their inverses).
+
'''Diminished Chords''' are comprised of a root, its minor third, and its diminished 5th.  The distance between the minor third and the diminished fifth is also minor third, so the chord is composed of 2 minor thirds and 1 diminished fifth.  Diminished chords are often marked as using "dim" or {{dim}}, such as Bdim, B dim, or B{{dim}}.
  
 
== PreReqs ==
 
== PreReqs ==
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== Open Position B Diminished Triad ==
 
== Open Position B Diminished Triad ==
<div class="item-wrap">
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{{crumbs|blue|1
<div class="trail blue">
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|B Diminished#Open Position B Diminished Triad|Open B dim
<span class="text current">[[#Open Position B Diminished Triad|Open B dim]]</span>
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|B Diminished#Harmonic Function: Leading Chord|Theory: Leading Chord
<span class="text">[[#Harmonic Function: Leading Chord|Theory: Leading Chord]]</span> 
+
|B Diminished#Full Circle Progression|Circle Prog
<span class="text">[[#Full Circle Progression|Circle Prog]]</span>
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|B Diminished#Diminished Fifth Interval|Dim 5th Interval}}
<span class="text">[[#Diminished Fifth Interval|Dim 5th Interval]]</span>
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</div>
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'''B Diminished''' is composed of (B D F).  Here are the common voicings in or near open position:
</div>
 
  
 
{|
 
{|
! Root Pos.
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! Open Pos. !! 2nd Pos.
 
|-
 
|-
 
|
 
|
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  '''F'''  ||-|-|r|-|
 
  '''F'''  ||-|-|r|-|
 
  '''B'''  ||-|m|-|-|
 
  '''B'''  ||-|m|-|-|
 +
''' '''  ||-|-|-|-|
 +
|
 +
''' '''  ||-|-|-|-|
 +
'''D'''  ||-|-|r|-|
 +
'''B'''  ||-|-|-|p|
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'''F'''  ||-|-|m|-|
 +
'''B'''  ||-|i|-|-|
 
  ''' '''  ||-|-|-|-|
 
  ''' '''  ||-|-|-|-|
 
|}
 
|}
  
You'll need to use your ring finger to mute the 3rd string when you strum this chord, so you don't hear the open G string. Diminished triads tend to have pretty nasty shapes, and even vanilla B dim is no different.  If it's difficult, you can drop the high F with the index finger.
+
Although B and D occur as open strings, the common open position voicing avoids using them.  The G string is typically muted, as it offers no notes from the chord until the 4th fret, which pulls us out of open position.  You'll need to use your ring finger to mute the 3rd string when you strum this chord, so you don't hear the open G string.
 +
 
 +
Diminished triads tend to have pretty nasty shapes, and even vanilla B dim is no different.  If it's difficult, you can drop the high F with the index finger.
 +
 
 +
The 2nd position shape is also a bit strange, at least in comparison to the common major and minor chords; however, it may seem a bit simpler to finger than the full open position chord.  Open position is generally preferred; however, as it includes a wider range of notes and retains open position alignment of the fingers to frets.
  
<div class="going-top">[[#top|Top]] <i class="fa fa-level-up fa-fw"></i></div>
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{{top}}
  
 
== Harmonic Function: Leading Chord ==
 
== Harmonic Function: Leading Chord ==
<div class="item-wrap">
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{{crumbs|blue|2
<div class="trail blue">
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|B Diminished#Open Position B Diminished Triad|Open B dim
<span class="text">[[#Open Position B Diminished Triad|Open B dim]]</span>
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|B Diminished#Harmonic Function: Leading Chord|Theory: Leading Chord
<span class="text current">[[#Harmonic Function: Leading Chord|Theory: Leading Chord]]</span> 
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|B Diminished#Full Circle Progression|Circle Prog
<span class="text">[[#Full Circle Progression|Circle Prog]]</span>
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|B Diminished#Diminished Fifth Interval|Dim 5th Interval}}
<span class="text">[[#Diminished Fifth Interval|Dim 5th Interval]]</span>
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</div>
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B dim is diatonic to the key of C Major, using its 7th scale degree as the root note.  Thus, it is called the '''vii{{dim}} chord''' (or vii or viio when the {{dim}} symbol cannot be made).  The {{dim}} symbol indicates diminished, but you have to be careful - we are dealing with the diminished triad here, not the [[7th Chords#Half Diminished|diminished 7th]].  The diminished 7th chord has two variations - half and full.  Half is indicated with a slash through the {{dim}} symbol (B{{hdim}}{{7}}).  Full uses the normal symbol (B{{dim}}{{7}}).
</div>
 
  
B dim is diatonic to the key of C Major, using its 7th scale degree as the root note.  Thus, it is called the <u>vii</u> or <u>vii° chord</u>.  The ° indicates diminished, but you have to be careful - we are dealing with the diminished triad here, not the diminished seventh.  The Diminished 7th chord has two variations - half and full.  Half is indicated with a slash through the ° symbol.  ''Where the {{dim}} symbol cannot be made, such as on a standard keyboard, or to avoid ambiguity, you can use "dim" (ex. Bdim) to indicate the diminished quality of the chord.''
+
<small>''Where the {{dim}} symbol cannot be made, such as on a standard keyboard without using special character codes, or to avoid ambiguity, you can use "dim" (ex. Bdim) to indicate the diminished quality of the chord. Then a half diminished 7th can be written as Bm7b5''.</small>
  
The vii chord is called the <u>Leading Chord</u>.  Harmonically, it has a ''dominant'' function.
+
The vii chord is called the '''leading chord'''.  Harmonically, it has a ''dominant'' function, sharing the leading tone and 2nd of the scale with the V chord (B and D in the key of C Major).
  
     C    F/C     B{{dim}}    C
+
     C    F/C   Bdim    C
     I      IV    vii{{dim}}   I
+
     I      IV    viio   I
 
  E--0------1------1------0------
 
  E--0------1------1------0------
 
  B--1------1------3------1------
 
  B--1------1------3------1------
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  E------------------------------
 
  E------------------------------
  
<div class="going-top">[[#top|Top]] <i class="fa fa-level-up fa-fw"></i></div>
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{{top}}
  
 
== Full Circle Progression ==
 
== Full Circle Progression ==
<div class="item-wrap">
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{{crumbs|blue|3
<div class="trail blue">
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|B Diminished#Open Position B Diminished Triad|Open B dim
<span class="text">[[#Open Position B Diminished Triad|Open B dim]]</span>
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|B Diminished#Harmonic Function: Leading Chord|Theory: Leading Chord
<span class="text">[[#Harmonic Function: Leading Chord|Theory: Leading Chord]]</span> 
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|B Diminished#Full Circle Progression|Circle Prog
<span class="text current">[[#Full Circle Progression|Circle Prog]]</span>
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|B Diminished#Diminished Fifth Interval|Dim 5th Interval}}
<span class="text">[[#Diminished Fifth Interval|Dim 5th Interval]]</span>
 
</div>
 
</div>
 
  
  C  F  B{{dim}}   Em  Am  Dm  G  C
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Now that we know the vii{{dim}} chord, we can play the full circle progression in the key of C Major.
  I  IV  vii{{dim}} iii vi  ii  V  I
 
E-0---1---1----0---0---1---3---0--
 
B-1---1---3----0---1---3---3---1--
 
G-0---2---x----0---2---2---0---0--
 
D-2---3---3----2---2---0---0---2--
 
A-3-------2----2---0-------2---3--
 
E--------------0-----------3------
 
  
Now that we know the vii{{dim}} chord, we can play the full circle progression in the key of C Major.
+
    C     F    Bdim  Em    Am    Dm    G    C
 +
    I    IV    viio  iii  vi    ii    V    I
 +
E--0-----1-----1-----0-----0-----1-----3-----0--
 +
B--1-----1-----3-----0-----1-----3-----3-----1--
 +
G--0-----2-----x-----0-----2-----2-----0-----0--
 +
D--2-----3-----3-----2-----2-----0-----0-----2--
 +
A--3-----------2-----2-----0-----------2-----3--
 +
E--------------------0-----------------3--------
  
<div class="going-top">[[#top|Top]] <i class="fa fa-level-up fa-fw"></i></div>
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{{top}}
  
 
== Diminished Fifth Interval ==
 
== Diminished Fifth Interval ==
<div class="item-wrap">
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{{crumbs|blue|4
<div class="trail blue">
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|B Diminished#Open Position B Diminished Triad|Open B dim
<span class="text">[[#Open Position B Diminished Triad|Open B dim]]</span>
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|B Diminished#Harmonic Function: Leading Chord|Theory: Leading Chord
<span class="text">[[#Harmonic Function: Leading Chord|Theory: Leading Chord]]</span> 
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|B Diminished#Full Circle Progression|Circle Prog
<span class="text">[[#Full Circle Progression|Circle Prog]]</span>
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|B Diminished#Diminished Fifth Interval|Dim 5th Interval}}
<span class="text current">[[#Diminished Fifth Interval|Dim 5th Interval]]</span>
 
</div>
 
</div>
 
  
The vii{{dim}} chord is the only diatonic chord in any major key to contain the diminished 5th interval.  Remember that the most harmonic interval (other than an octave) is the perfect fifth, represented by the simple ratio of 3:2.  By contrast, the diminished 5th has a ratio is 7:5.  Let's see all the intervals:
+
The vii{{dim}} chord is the only diatonic chord in any major key to contain the diminished 5th interval.  Remember that the most harmonic interval (other than an octave) is the perfect fifth, represented by the simple ratio of 3:2.  By contrast, the diminished 5th has a ratio is 45:32.  Let's see all the intervals again:
  
 
{|class="wikitable"
 
{|class="wikitable"
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| P4 || 4:3  
 
| P4 || 4:3  
 
|-
 
|-
| d5 || 7:5
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| '''d5''' || '''45:32'''
 
|-
 
|-
 
| P5 || 3:2  
 
| P5 || 3:2  
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| M6 || 5:3  
 
| M6 || 5:3  
 
|-
 
|-
| m7 || 16:9
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| m7 || 9:5
 
|-
 
|-
 
| M7 || 15:8
 
| M7 || 15:8
 
|}
 
|}
  
As you notice, the intervals closest to the root note or octave feature the highest numbers on their ratios and have the largest least common multiples.  Yet, the d5 is a major departure from the general trend.  As it serves as the replacement of the P5 in this chord, this immediately makes the chord quite dissonant.
+
As you notice, the intervals closest to the root note or octave feature the larger integer numbers for their ratios and have the largest least common multiples.  As we move away from the root/octave, the ratios seem to get more and more harmonic.  Yet, the d5 is a major departure from the general trend - it appears the least harmonious of all.  (Even in an alternate tuning where its ratio is a more harmonic 7:5 variation, it is about as harmonious as the minor 3rd and 6th, far from the perfect 4th and 5th.) As it serves as the replacement of the P5 in this chord, this immediately makes the chord quite dissonant.
  
It's quite apparent when playing the B dim chord.  This means the vii{{dim}} chord not only has tension in the context of the tonality and its placement inside a progression, but it is also quite dissonant and tense in and of itself.  Typically, we don't see diminished triads as frequently as 7th or other extended chords.  Its half diminished (diatonic to the major, natural minor, and harmonic minor scales) variety actually adds consonance.
+
It's quite apparent when playing the B{{dim}} chord.  This means the vii{{dim}} chord not only has tension in the context of the tonality and its placement inside a progression, but it is also quite dissonant and tense in and of itself.  Typically, we don't see diminished triads as frequently as [[7th Chords|7th]] or other [[Extended Chords|extended chords]].  Its half diminished variety (diatonic to the major, natural minor, and harmonic minor scales) actually adds consonance, which we will cover [[7th Chords#Half Diminished|later]].
  
<div class="going-top">[[#top|Top]] <i class="fa fa-level-up fa-fw"></i></div>
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{{top}}
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== Homework ==
 +
* Know that the diminished chord is composed of root and the m3 and d5 above.
 +
* Know that B dim consists of (B D F).
 +
* Know that the vii{{dim}} chord of a scale is a diminished chord.
 +
* Know that the vii{{dim}} chord has a dominant harmonic function.
 +
* Practice fingering and strumming B dim in open position.
 +
** Be sure to mute the G string.
 +
* Practice the I - IV - vii{{dim}} - I progression above.
 +
* Practice the full circle progression above.
  
 
== Q & A ==
 
== Q & A ==
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* [[Extended Chords]]
 
* [[Extended Chords]]
  
<div class="item-wrap">
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{{top}}
<div class="trail red">
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<span class="text current">[[B Diminished|B dim]]</span>
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{{Intermediate Lesson Crumbs|1}}
<span class="text">[[Other Open String Chords|Open Chords]]</span>
 
<span class="text">[[Music Theory - Minor Keys|Minor Keys]]</span>
 
<span class="text">[[Harmonic Minor and Augmented Chords|Harmonic Min]]</span>
 
<span class="text">[[Barre Chords|Barre Chords]]</span>
 
<span class="text">[[Suspended Chords|Sus Chords]]</span>
 
<span class="text">[[Applying Rhythm to Chords|Rhythm]]</span>
 
<span class="text">[[Circle of Fifths|Circle of 5ths]]</span>
 
<span class="text">[[G Major and E Minor|G Maj and E Min]]</span>
 
<span class="text">[[5th Position|5th Pos]]</span>
 
<span class="text">[[Scales for all Positions|All Pos]]</span>
 
<span class="text">[[CAGED]]</span>
 
<span class="text">[[7th Chords]]</span>
 
</div>
 
</div>
 
  
 
[[Category:Guitar]]
 
[[Category:Guitar]]
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[[Category:Open Position]]
 
[[Category:Open Position]]
 
[[Category:Intervals]]
 
[[Category:Intervals]]
 
<div class="going-top">[[#top|Top]] <i class="fa fa-level-up fa-fw"></i></div>
 

Latest revision as of 22:57, 11 June 2016

In the beginner lessons we talked about all the diatonic chords diatonic to C Major except B Diminished. Time to cover it now.

Diminished Chords are comprised of a root, its minor third, and its diminished 5th. The distance between the minor third and the diminished fifth is also minor third, so the chord is composed of 2 minor thirds and 1 diminished fifth. Diminished chords are often marked as using "dim" or °, such as Bdim, B dim, or B°.

Contents

PreReqs

Open Position B Diminished Triad

B Diminished is composed of (B D F). Here are the common voicings in or near open position:

Open Pos. 2nd Pos.
F  ||i|-|-|-|
D  ||-|-|p|-|
   ||-|-|-|-|
F  ||-|-|r|-|
B  ||-|m|-|-|
   ||-|-|-|-|
   ||-|-|-|-|
D  ||-|-|r|-|
B  ||-|-|-|p|
F  ||-|-|m|-|
B  ||-|i|-|-|
   ||-|-|-|-|

Although B and D occur as open strings, the common open position voicing avoids using them. The G string is typically muted, as it offers no notes from the chord until the 4th fret, which pulls us out of open position. You'll need to use your ring finger to mute the 3rd string when you strum this chord, so you don't hear the open G string.

Diminished triads tend to have pretty nasty shapes, and even vanilla B dim is no different. If it's difficult, you can drop the high F with the index finger.

The 2nd position shape is also a bit strange, at least in comparison to the common major and minor chords; however, it may seem a bit simpler to finger than the full open position chord. Open position is generally preferred; however, as it includes a wider range of notes and retains open position alignment of the fingers to frets.

Harmonic Function: Leading Chord

B dim is diatonic to the key of C Major, using its 7th scale degree as the root note. Thus, it is called the vii° chord (or vii or viio when the ° symbol cannot be made). The ° symbol indicates diminished, but you have to be careful - we are dealing with the diminished triad here, not the diminished 7th. The diminished 7th chord has two variations - half and full. Half is indicated with a slash through the ° symbol (Bø7). Full uses the normal symbol (B°7).

Where the ° symbol cannot be made, such as on a standard keyboard without using special character codes, or to avoid ambiguity, you can use "dim" (ex. Bdim) to indicate the diminished quality of the chord. Then a half diminished 7th can be written as Bm7b5.

The vii chord is called the leading chord. Harmonically, it has a dominant function, sharing the leading tone and 2nd of the scale with the V chord (B and D in the key of C Major).

   C     F/C    Bdim    C
   I      IV    viio    I
E--0------1------1------0------
B--1------1------3------1------
G--0------2------x------0------
D--2------3------3------2------
A--3------3------2------3------
E------------------------------

Full Circle Progression

Now that we know the vii° chord, we can play the full circle progression in the key of C Major.

   C     F     Bdim  Em    Am    Dm    G     C
   I     IV    viio  iii   vi    ii    V     I
E--0-----1-----1-----0-----0-----1-----3-----0--
B--1-----1-----3-----0-----1-----3-----3-----1--
G--0-----2-----x-----0-----2-----2-----0-----0--
D--2-----3-----3-----2-----2-----0-----0-----2--
A--3-----------2-----2-----0-----------2-----3--
E--------------------0-----------------3--------

Diminished Fifth Interval

The vii° chord is the only diatonic chord in any major key to contain the diminished 5th interval. Remember that the most harmonic interval (other than an octave) is the perfect fifth, represented by the simple ratio of 3:2. By contrast, the diminished 5th has a ratio is 45:32. Let's see all the intervals again:

Interval Name Ratio
m2 16:15
M2 9:8
m3 6:5
M3 5:4
P4 4:3
d5 45:32
P5 3:2
m6 8:5
M6 5:3
m7 9:5
M7 15:8

As you notice, the intervals closest to the root note or octave feature the larger integer numbers for their ratios and have the largest least common multiples. As we move away from the root/octave, the ratios seem to get more and more harmonic. Yet, the d5 is a major departure from the general trend - it appears the least harmonious of all. (Even in an alternate tuning where its ratio is a more harmonic 7:5 variation, it is about as harmonious as the minor 3rd and 6th, far from the perfect 4th and 5th.) As it serves as the replacement of the P5 in this chord, this immediately makes the chord quite dissonant.

It's quite apparent when playing the B° chord. This means the vii° chord not only has tension in the context of the tonality and its placement inside a progression, but it is also quite dissonant and tense in and of itself. Typically, we don't see diminished triads as frequently as 7th or other extended chords. Its half diminished variety (diatonic to the major, natural minor, and harmonic minor scales) actually adds consonance, which we will cover later.

Homework

  • Know that the diminished chord is composed of root and the m3 and d5 above.
  • Know that B dim consists of (B D F).
  • Know that the vii° chord of a scale is a diminished chord.
  • Know that the vii° chord has a dominant harmonic function.
  • Practice fingering and strumming B dim in open position.
    • Be sure to mute the G string.
  • Practice the I - IV - vii° - I progression above.
  • Practice the full circle progression above.

Q & A

Related Lessons