The spiral thing is hard to grasp.... but probably the best example....
http://www.guggenheim.org/image_archive/index.html
The Guggenheim Museum in New York is a bit controversial.
Many think it's ugly and looks uneven....
It looks like it's tilting and it's going to fall over....
In reality it's actually a spiral and perfectly balanced so all the load is
spread evenly..... Kinda like Pythagorean approach to music/sound. It's
perfect, it's absolutely perfect.... but it looks odd and is hard to work with.
To bring this back to where it started tho.....
Best thing you can learn is how to Harmonise a Major scale...
and play chords which are all part of the same scale.
Might seem like a bit of effort on my part.... but I need the revision...
Terminology
T = Tone
S = Semi-tone
(All MAJOR scales have same formula of semi-tone/tone spacing)
Chromatic scale (all the notes black and white)
C = Unison = Same note
C#/Db = Minor 2nd (flat 2nd)
D = Major 2nd
D#/Eb = Minor 3rd (flat 3rd)
E = Major 3rd
(no black note between (C MAJOR is keyboards "default")
F = Perfect 4th
F#/Gb = Suspended 4th (Diminished 5th) (Sharp 4th, Flat 5th) (Tritone) (dead center)
G = Perfect 5th
G#/Ab = Minor 6th
A = Major 6th
A#/Bb = Dominant 7th
B = Major 7th
(no black note between (C MAJOR is keyboards "default")
C = Octave/Unison
Take a C Major scale.
Notes: C D E F G A B C
Intervals: 1 2 3 4 5 6 7 1
Steps: T T S T T T S
Build chords off each interval. (Skip every second note)
C E G B
D F A C
E G B D
F A C E
G B D F
A C E G
B D F A
Now using the interval names and the semi-tone gaps we can get names
for all these notes and see how they conform to chord types..... Research
this more... I'll just throw up the guts of it... This is the old Ionian way of doing it.... Bit more common then Lydian theory....
C E G B
E = Major 3rd
G = Perfect 5th
B = Major 7th
Major 7th Chord
D F A C
F = Minor 3rd (A Major 3rd in D would be F#, which isn't in C Major)
A = Perfect 5th
C = Dominant 7th (A Major 7th in D would be C#, which isn't in C Major)
Minor 7th Chord
E G B D
G = Minor 3rd
B = Perfect 5th
D = Dominant 7th
Minor 7th Chord
F A C E
A = Major 3rd
C = Perfect 5th
E = Major 7th
Major 7th Chord
G B D F
B = Major 3rd
D = Perfect 5th
F = Dominant 7th
Dominant 7th Chord
A C E G
C = Minor 3rd
E = Perfect 5th
G = Dominant 7th
Minor 7th Chord
B D F A
D = Minor 3rd
F = Diminished 5th
A = Dominant 7th
Minor 7 Flat 5 (Half-Diminished) Chord
So....
Chord 1: Major 7th
Chord 2: Minor 7th
Chord 3: Minor 7th
Chord 4: Major 7th
Chord 5: Dominant 7th
Chord 6: Minor 7th
Chord 7: Minor 7th b5 (Half-Diminished)
You can now choose chords from this harmonisation and they will all be perfect relatives of the original scale that was harmonised.
This will give you every single Beatles song ever written and 90% of
western music.
So now. It follows that each Chord has a Scale which represents it best...
C D E F G A B C
D E F G A B C D
E F G A B C D E
F G A B C D E F
G A B C D E F G
A B C D E F G A
B C D E F G A B
These are the "Modes" of C Major (Ionian)...
You can do the same for any other Major scale... Say D Major which has
2 sharps, F# and C#.... It would all be the same except you're no longer
dealing with just white keys....
Ionian
C D E F G A B C
1 2 3 4 5 6 7 1
T T S T T T S
Dorian
D E F G A B C D
1 2 b3 4 5 6 b7 1
T S T T T S T
Phrygian
E F G A B C D E
1 b2 b3 4 5 b6 b7 1
S T T T S T T
Lydian
F G A B C D E F
1 2 3 #4 5 6 7 1
T T T S T T S
Mixo-Lydian
G A B C D E F G
1 2 3 4 5 6 b7 1
T T S T T S T
Aeolian
A B C D E F G A
1 2 b3 4 5 b6 b7 1
T S T T S T T
Locrian
B C D E F G A B
1 b2 b3 4 5 b6 b7 1
S T T S T T T
If you get into it.... These numbers will run thru your head until you know
them instantly and can call on them mid-solo to pull out the part you're
aiming for...
Ionian
A straight Major scale, simple.
Dorian
A good substitute for Natural Minor (Aeolian), funky, solo friendly.
Phrygian
Hard to get at first, b2 makes it sound odd... Makes for lots of fun.
Lydian
Miles and Russell say this is the true "root" mode, a whole nuther story.
It's Major, but the #4 gives it a Tritone, which makes it more balanced.
Mixo-Lydian
Major with a b7... Great for funk bass-lines.... Being a V (5) chord mode it
turns around into Ionian or Lydian very well.
Aeolian
Natural Minor.... like the Major of the Minor world... Relative Minor to the
Major key, they go hand in hand.
Locrian
Another hard one to get at first, b2 makes it sound odd, starting on a
semi-tone gap really can throw you.... but once you "get it" the b2 b7
combo give you a lot of solo options for making some cool lines.
THEN......
The 6th mode... Aeolian represents "Natural Minor"...
A is the "Relative" minor to C Major.... Same for all keys... the 6th...
Harmonic Minor....
Is simply the Natural Minor with a Major 7th.
This gives you a lot of gypsie, indian, ethnic sounds.
You can also harmonise the Harmonic Minor scale as you would a Major
scale to come up with chords such as Fully-Diminished (double flat 7th)
etc. Personally I love 4th mode harmonic minor and 6th (gives a
major/minor combo sound)
A B C D E F G# A
1 2 b3 4 5 b6 7 1
Melodic Minor..... When you learn this generally you play Melodic minor
on the way up and Natural minor on the way down.... In the end you look
at it as containing all the notes (too many for an 8 note scale)
A B C D E F F# G G# A
1 2 b3 4 5 b6 6 b7 7 1
Blues (Minor Pentatonic)...
There are MANY pentatonic (5 note) scales, basically every small ethnic
sound is some form on pentatonic.
A C D (Eb) E G A
1 b3 4 (b5) 5 b7 1
The flat 5th is the "Blues Note" without it... It's just "Minor Pentatonic" with
it, it's "Blues Scale"... Probably the easiest point to start with improv, it
fits easy into most things and gives you some freedom from the major
scale.
Now turn it around (if it's a 6th mode.... it's 3rd is the Major).... and you
have....
Major Pentatonic.
C D E G A C
1 2 3 5 6 1
This sounds "Country"... you can play modes of it for more sounds.... but
generally lots of "Major" "Country" kinda fun to be had here.
Then you have all your modes of Harmonic Minor, Altered scale, other
symetrical scales, the explaination of how a Major scale works using
Upper and Lower tetra-chords and so on. Then you have Carnatic
Melakartha which is the Indian classical method of a grid of upper and
lower tetra-chords that can be combined as needed to create 42 classical
scales... then you have... then you have.... Lydian Chromatic Theory (my
fav)... etc etc etc.
"Play what you feel!"
-Ben