Difference between revisions of "Circle of Fifths"

Revision as of 16:30, 9 April 2014

Table with fifths from C to Cb and C# w/ full major scales

	Cb	Gb	Db	Ab	Eb	Bb	F	C	G	D	A	E	B	F#	C#
	7 b's	6 b's	5 b's	4 b's	3 b's	2 b's	1 b's	0 b/#'s	1 #'s	2 #'s	3 #'s	4 #'s	5 #'s	6 #'s	7 #'s
Unison	Cb	Gb	Db	Ab	Eb	Bb	F	C	G	D	A	E	B	F#	C#
2nd	Db	Ab	Eb	Bb	F	C	G	D	A	E	B	F#	C#	G#	D#
3rd	Eb	Bb	F	C	G	D	A	E	B	F#	C#	G#	D#	A#	E#
4th	Fb	Cb	Gb	Db	Ab	Eb	Bb	F	C	G	D	A	E	B	F#
5th	Gb	Db	Ab	Eb	Bb	F	C	G	D	A	E	B	F#	C#	G#
6th	Ab	Eb	Bb	F	C	G	D	A	E	B	F#	C#	G#	D#	A#
7th	Bb	F	C	G	D	A	E	B	F#	C#	G#	D#	A#	E#	B#
Oct	Cb	Gb	Db	Ab	Eb	Bb	F	C	G	D	A	E	B	F#	C#

Notice the 4ths and 7ths - this is where the notes flatten/sharpen when shifting keys up/down a fifth (or down/up a fourth).

Fifths and equivalents

All columns are equivalent pitches. Each cell is a perfect fifth above the cell to its left.

Dbb	Abb	Ebb	Bbb	Fb	Cb	Gb	Db	Ab	Eb	Bb	F	C
C	G	D	A	E	B	F#	C#	G#	D#	A#	E#	B#
B#	F##	C##	G##	D##	A##	E##	B##	F###	C###	G###	D###	A###

Rules and Guidelines

The 1.____ scale a perfect fifth 2.____ the current scale contains the same notes but the 3.___ in the current scale is 4.____ to become the 5.____ of the new scale.

1	2	3	4	5
major	above	P4	sharped	M7
minor	above	M6	sharped	M2
major	below	M7	flattened	P4
minor	below	M2	flattened	m6

Equivalent Pitches for Scales Below/Above by Interval

Modulating from any major scale to a new major scale ___ interval above/below the original key has ___ same pitches and #/b per note:

Example Key	C	C#	D	D#	E	F	F#	G	G#	A	A#	B
Interval Above	Unison	m2	M2	m3	M3	P4	d5	P5	m6	M6	D7	M7
Interval Below	Unison	M7	D7	M6	m6	P5	d5	P4	M3	m3	M2	m2
Number of Equivalent Pitches	7	2	5	4	3	6	2	6	3	4	5	2

Which means the most harmonic key changes are:

Common Notes	Diatonic Keys	Non-Diatonic Keys
6	P4, P5
5	M2	D7
4	M6	m3
3	M3	m6
2	M7	m2, d5

@@ Line 58: / Line 58: @@
 |Example Key || C || C# || D || D# || E || F || F# || G || G# || A || A# || B
 |-
-| Interval Above ||  Unison || +m2 || +M2 || +m3 || +M3 || +P4 || +d5 || +P5 || +m6 || +M6 || +D7 || +M7
+| Interval Above ||  Unison || m2 || M2 || m3 || M3 || P4 || d5 || P5 || m6 || M6 || D7 || M7
 |-
-| Interval Below || Unison || -M7 || -D7 || -M6 || -m6 || -P5 || -d5 || -P4 || -M3 || -m3 || -M2 || -m2
+| Interval Below || Unison || M7 || D7 || M6 || m6 || P5 || d5 || P4 || M3 || m3 || M2 || m2
 |-
 |Number of Equivalent Pitches || 7 || 2 || 5 || 4 || 3 || 6 || 2 || 6 || 3 || 4 || 5 || 2