Purpose/Introduction:
Many musicians, myself included, hit wondered what would hap if we were to add digit state in a key. How would the chord structures change? How such of the key module rest unaltered? Will sharpened and planar notes hit the aforementioned result? Up until now, I hit been doing a rattling humble noetic science with Byzantine key modifications. In this paper, I hit charted discover every doable scenario of single-note alterations. However, I hit not careful whatever chord changes resulting from the add of more than digit note. I module indite a second, more in-depth, follow-up psychotherapy detailing the similarities and differences between every of the threefold state alterations that are doable in whatever field key.
Basic Rules:
A add in digit state of a key module add the scheme of threesome chords because apiece state exists as a conception of threesome assorted chords. A state crapper stop digit of threesome assorted positions in a chord, as; the root, the third, or the fifth. For example, in the key of C Major, the C state is the stem of the C field chord, the ordinal of the A Minor chord, and the ordinal of the F Major Chord. If the C state is augmented (sharpened), those aforementioned chords embellish C#dim, A Major, and F#5(or augmented), respectively.
There are heptad notes in apiece key, discover of a amount of dozen acquirable notes. Four of the heptad notes of a key crapper be altered; the 2nd, 3rd, 5th and 6th. The ordinal and ordinal tones cannot be altered. If the ordinal talk is flattened, the key module change; a planar 7th talk results in a agitate to the field key of the 4th tone, i.e. C Major becomes F Major. If the 4th talk is sharpened, the key module change; a sharpened 4th talk results in a agitate to the field key of the 5th tone, i.e. C Major becomes G major.
For the purposes of this analysis, we module not be flattening the ordinal tone, sharpening the ordinal tone, or altering the stem state in whatever way.
Concerning the notes that crapper be altered, whatever crapper be sharpened or flattened, and whatever crapper be either sharpened or flattened. The 2nd crapper be sharpened or flattened, the ordinal crapper be planar but not sharpened (if sharpened, it becomes the 4th), the 5th crapper be sharpened or flattened, and the ordinal crapper be sharpened or flattened.
Lets verify a countenance at what happens to the chord structures of a key, when we agitate the alterable pitches either intense or flat.
The Charts (Left Column is warning chords in C Major; Right Column is chords resulting from state change. All examples are in C Major):
The Sharp 2nd (D#)
C D# E F G A B C
C Major -- C major
D secondary -- D# sus2 b5
E secondary --E minor
F major--F major
G major--G Major #5
A minor--A minor
B dim--B secondary b5
The Flat 2nd (Db)
C Db E F G A B C
C Major -- C major
D secondary -- Db field #5
E secondary --E minor
F major--F major
G major--G dim
A minor--A minor
B dim--B sus2b5
The Flat 3rd (Eb)
C D Eb F G A B C
C Major--C Minor
D Minor--D Minor
E Minor--Eb Major
F Major--F Major
G Major--G Major
A Minor--A Dim
B dim--B Dim
The Sharp 5th (G#)
C D E F G# A B C
Sharpen the 5th (G) to G#. The chords become:
C field -- C Major #5
D minor--D Minor
E minor--E Major
F major--F Major
G major--G# Minor
A minor--A Minor
B dim--B Dim
The Flat 5th (Gb)
C D E F Gb A B C
C field -- C Major b5
D minor--D Minor
E minor--E sus2
F major--F Major
G major--Gb Major
A secondary --A Minor
B dim--B Dim
The Sharp 6th (A#)
C D E F G A# B C
C field -- C Major
D minor--D Minor #5
E minor--E Major
F major--F sus4
G major--G Major
A secondary --A sus2
B dim--B Dim
The Flat 6th (Ab)
C D E F G Ab B C
C field -- C Major
D minor--D Dim
E minor--E Minor
F major--F Minor
G major--G Major
A secondary --Ab Major
B dim--B Dim
Analysis:
Seven changes crapper be prefabricated within a key without dynamical the state around which the singable pieces centers (the key note). This is rattling interesting, considering that we hit exclusive implemented 4 notes that do not belong to the warning key. How is this possible? 7 structure to move 4 notes? There are heptad assorted possibilities because notes that are not in the warning key crapper be reached by either sharpening digit note, or flattening another. Although the aforementioned state haw be introduced to the key, the outcomes are assorted depending on how the state is reached. This is because, if digit state is sharpened or flattened, then the warning state does not rest (i.e. F - F#, or G- Gb). The state that we opt to alter, in visit to attain the desirable result, determines which state is feat to be excluded in the resulting key.
Suppose our content is to add a key so that we hit an F#-note in the key. If the F is sharpened, there module not be an F chord in our newborn key, and if the G is flattened, there module not be a G chord. It is a concern of exclusion, and it crapper be rattling unclear because an F# state is the literal aforementioned state as a Gb. At this point, it becomes manifest that keys crapper be rattling complicated.
Two-Note Alterations:
I module today substance an warning of what happens to a key when more than digit state is altered:
Example;
C Major, insipid 2nd, intense 5th
C Db E F G# A B C
The chords in this key are; C Major #5, Db Major, E Major, F major, G#minorbb5, A Minor, Bsus2 b5
Just as when denotive chords, we crapper humble the study from whatever state that we choose. The C Major attorney with a insipid 2nd and a intense 5th is comprised of the aforementioned notes as an F Major attorney with a intense 4th, insipid 6th and intense 2nd. The aggregation of possibilities shrinks when we verify enharmonic keys into consideration.
Why?
The charts above crapper be rattling multipurpose when composition music. Suppose, for example, that I poverty to indite a song, in a Stygian superficial 7-tone key. I could countenance over the interpret and apace settled the C Major attorney with a Flat 3rd, which contains digit instruction occurring impaired chords, and digit secondary chords. Of course, it does seem confused to intend to a key as a C Major Key, when the C chord of this portion key is a C Minor but I am disagreeable not to tack anybody.
Transposing penalization into restricted keys crapper expel newborn chronicle into a song. The results crapper be tedious, painful, or enjoyable, but ever interesting. Sometimes the changes are rattling pleasing, such as the housing of the sharpened 5th- the info of every land guitar. I would declare toying around with these ideas, because it seems that likewise such penalization adheres to penalization theory guidelines, as if they were rules- penalization is not governed by laws.
You should hit recreation with exceptional chords and progressions, and dont be afeard to endeavor the sus2b5 chord, or whatever another ugly-looking chords. Sometimes they modify that vacuum in the region of a strain that you meet cant seem to modify with whatever accepted field or secondary chord.
Richard Mould grew up in Norman, Oklahoma and Seattle, Washington. He has played the bass for a daylong time.
