Accidentals, the principal name

Now we know our diatonic scales and we know our key signatures. We are ready to believe that F# is more common than Gb. The more common a name the more familiar it is to us. The common name is the principal name.

Recall how 9 of our 12 notes have two names.

 C#
Db
 D#
Eb
  F#
Gb
 G#
Ab
 A#
Bb
 
C
B#
DE
Fb
F
E#
GAB
Cb

Well let us do some detective work. How many key signatures is F# in? 7. How many key signatures is Gb in? 3. F# is the principal name of the F# / Gb enharmonic pair.

Enharmonic namesThe enharmonic name that appears in the greater number of key signatures is the principal namePrincipal name
B# CB# is in 1 key signatureC is in 7 key signaturesC
C# DbC# is in 6 key signaturesDb is in 4 key signaturesC#
D  D
D# EbD# is in 4 key signaturesEb is in 6 key signaturesEb
E FbE is in 7 key signaturesFb is in 1 key signatureE
F E#F is in 7 key signaturesE# is in 2 key signaturesF
F# GbF# is in 7 key signaturesGb is in 3 key signaturesF#
G  G
G# AbG# is in 5 key signaturesAb is in 5 key signaturesAb
A  A
A# BbA# is in 3 key signaturesBb is in 7 key signaturesBb
B CbB is in 7 key signaturesCb is in 2 key signaturesB
 
C#
 Eb  F# Ab Bb 

C
DEFGAB