Paleo
Student Of The Blues
Or "If 6 was 9"?
This was the original post from awhile back. Please don't tell me I need to get out more or I must have too much time on my hands. This is the kind of stuff I enjoy along with learning to play.
Following up on some recent discussion regarding using an E# instead of F.
What if we didn't use E#?
1) How would you write an F# Major scale?
F# G# A# B C# D# F ???
2) How would you design a Key Signature that shows F as both sharp and natural?
Throughout the score you would have to use a lot of natural signs?
3) How would you differentiate a key signature for F# Major from B Major which has the same 5 sharps? F#C#G#D#G#
B C# D# E F# G# A#
4) What would be a perfect 5th (P5) above A#?
F would be a minor 6th. A Perfect 5th would be E#.
(Although you will often see Aaug written as A C# F.)
5) How would you write a C# Major scale without an E# or a B#?
C# D# F F# G# A# C ???
Now you have both F & F# and C & C#. Same problems and still the same 5 sharps as B Major.
E# has to be used when writing F# Major and C# Major to preserve the intervalic relationships of Major scales, i.e the Perfect 5th our system is built upon.
(The system comes first. The "rule" of using each letter name once insures the internal integrity of the system.)
And being able to build a Major scale from any root was the whole purpose of creating our equal temperament system in the first place.
Each successive #, as well as Key and Major Scale, is a Perfect 5th above the previous one.
G Major - F#
D Major - F#, C#
A Major - F#, C#, G#
E Major - F#, C#, G#, D#
B Major - F#, C#, G#, D#, A#
F# Major F#, C#, G#, D#, A#, E#
C# Major F#, C#, G#, D#, A#, E#, B#
(Using Gb Major instead of F# Major requires a Cb instead of B. Cb Major also requires an Fb instead of E.)
This was the original post from awhile back. Please don't tell me I need to get out more or I must have too much time on my hands. This is the kind of stuff I enjoy along with learning to play.
Following up on some recent discussion regarding using an E# instead of F.
What if we didn't use E#?
1) How would you write an F# Major scale?
F# G# A# B C# D# F ???
2) How would you design a Key Signature that shows F as both sharp and natural?
Throughout the score you would have to use a lot of natural signs?
3) How would you differentiate a key signature for F# Major from B Major which has the same 5 sharps? F#C#G#D#G#
B C# D# E F# G# A#
4) What would be a perfect 5th (P5) above A#?
F would be a minor 6th. A Perfect 5th would be E#.
(Although you will often see Aaug written as A C# F.)
5) How would you write a C# Major scale without an E# or a B#?
C# D# F F# G# A# C ???
Now you have both F & F# and C & C#. Same problems and still the same 5 sharps as B Major.
E# has to be used when writing F# Major and C# Major to preserve the intervalic relationships of Major scales, i.e the Perfect 5th our system is built upon.
(The system comes first. The "rule" of using each letter name once insures the internal integrity of the system.)
And being able to build a Major scale from any root was the whole purpose of creating our equal temperament system in the first place.
Each successive #, as well as Key and Major Scale, is a Perfect 5th above the previous one.
G Major - F#
D Major - F#, C#
A Major - F#, C#, G#
E Major - F#, C#, G#, D#
B Major - F#, C#, G#, D#, A#
F# Major F#, C#, G#, D#, A#, E#
C# Major F#, C#, G#, D#, A#, E#, B#
(Using Gb Major instead of F# Major requires a Cb instead of B. Cb Major also requires an Fb instead of E.)
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