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Descending 3rds (I → vi → IV → ii → vii° → V → iii → I)

Look at the Intervals between the lowest Notes of each Chord. The Root Movement is descending by a Third.

♮

• Key of C Major:
C [C-E-G] → Am [A-C-E] → F [F-A-C] → Dm [D-F-A] → B° [B-D-F] → G [G-B-D] → Em [E-G-B] → C [C-E-G]

♯

• Key of G Major:
G [G-B-D] → Em [E-G-B] → C [C-E-G] → Am [A-C-E] → F♯° [F♯-A-C] → D [D-F♯-A] → Bm [B-D-F♯] → G [G-B-D]

• Key of D Major:
D [D-F♯-A] → Bm [B-D-F♯] → G [G-B-D] → Em [E-G-B] → C♯° [C♯-E-G] → A [A-C♯-E] → F♯m [F♯-A-C♯] → D [D-F♯-A]

• Key of A Major:
A [A-C♯-E] → F♯m [F♯-A-C♯] → D [D-F♯-A] → Bm [B-D-F♯] → G♯° [G♯-B-D] → E [E-G♯-B] → C♯m [C♯-E-G♯] → A [A-C♯-E]

• Key of E Major:
E [E-G♯-B] → C♯m [C♯-E-G♯] → A [A-C♯-E] → F♯m [F♯-A-C♯] → D♯° [D♯-F♯-A] → B [B-D♯-F♯] → G♯m [G♯-B-D♯] → E [E-G♯-B]

• Key of B Major:
B [B-D♯-F♯] → G♯m [G♯-B-D♯] → E [E-G♯-B] → C♯m [C♯-E-G♯] → A♯° [A♯-C♯-E] → F♯ [F♯-A♯-C♯] → D♯m [D♯-F♯-A♯] → B [B-D♯-F♯]

• Key of F♯ Major:
F♯ [F♯-A♯-C♯] → D♯m [D♯-F♯-A♯] → B [B-D♯-F♯] → G♯m [G♯-B-D♯] → E♯° [E♯-G♯-B] → C♯ [C♯-E♯-G♯] → A♯m [A♯-C♯-E♯] → F♯ [F♯-A♯-C♯]

• Key of C♯ Major:
C♯ [C♯-E♯-G♯] → A♯m [A♯-C♯-E♯] → F♯ [F♯-A♯-C♯] → D♯m [D♯-F♯-A♯] → B♯° [B♯-D♯-F♯] → G♯ [G♯-B♯-D♯] → E♯m [E♯-G♯-B♯] → C♯ [C♯-E♯-G♯]

♭

• Key of F Major:
F [F-A-C] → Dm [D-F-A] → B♭ [B♭-D-F] → Gm [G-B♭-D] → E° [E-G-B♭] → C [C-E-G] → Am [A-C-E] → F [F-A-C]

• Key of B♭ Major:
B♭ [B♭-D-F] → Gm [G-B♭-D] → E♭ [E♭-G-B♭] → Cm [C-E♭-G] → A° [A-C-E♭] → F [F-A-C] → Dm [D-F-A] → B♭ [B♭-D-F]

• Key of E♭ Major:
E♭ [E♭-G-B♭] → Cm [C-E♭-G] → A♭ [A♭-C-E♭] → Fm [F-A♭-C] → D° [D-F-A♭] → B♭ [B♭-D-F] → Gm [G-B♭-D] → E♭ [E♭-G-B♭]

• Key of A♭ Major:
A♭ [A♭-C-E♭] → Fm [F-A♭-C] → D♭ [D♭-F-A♭] → B♭m [B♭-D♭-F] → G° [G-B♭-D♭] → E♭ [E♭-G-B♭] → Cm [C-E♭-G] → A♭ [A♭-C-E♭]

• Key of D♭ Major:
D♭ [D♭-F-A♭] → B♭m [B♭-D♭-F] → G♭ [G♭-B♭-D♭] → E♭m [E♭-G♭-B♭] → C° [C-E♭-G♭] → A♭ [A♭-C-E♭] → Fm [F-A♭-C] → D♭ [D♭-F-A♭]

• Key of G♭ Major:
G♭ [G♭-B♭-D♭] → E♭m [E♭-G♭-B♭] → C♭ [C♭-E♭-G♭] → A♭m [A♭-C♭-E♭] → F° [F-A♭-C♭] → D♭ [D♭-F-A♭] → B♭m [B♭-D♭-F] → G♭ [G♭-B♭-D♭]

• Key of C♭ Major:
C♭ [C♭-E♭-G♭] → A♭m [A♭-C♭-E♭] → F♭ [F♭-A♭-C♭] → D♭m [D♭-F♭-A♭] → B♭° [B♭-D♭-F♭] → G♭ [G♭-B♭-D♭] → E♭m [E♭-G♭-B♭] → C♭ [C♭-E♭-G♭]