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How many octaves...?

On a normal four-string, the low E is an octave lower than the low E on a guitar. Although some subcontra basses are going down to a low C# at this point (a full octave and three half-steps below a bass' low E).
 
reiver1 said:
I seem to remember that it's 2 octaves ; but it's written 1 octave lower to fit on the staff.

Both guitar and bass are transposing instruments. That means that the written notes are not the ones you hear. For both instruments, transposition is the same: They're written one octave higher than the actual pitches. For instance: The open E (1st string) on the guitar is written in the fourth space, treble clef, but you hear the first line E. The bass' open G is written in the fourth space, bass clef, but you hear the first line G. (Lines and spaces on music notation are understood from bottom to top)

Now, as for the difference between them, the bass' open G sounds the same than the guitar's G on the sixth string, 3rd fret (timbric considerations aside, of course). The open low E of the guitar sounds the same than the bass' E on the D string, 2nd fret. If you compare both instruments' open low Es, there's a difference of ONE octave between them.

Hope this helps.
 
ok, so i am mis-informed somewhere along this line or reasoning and need to be corrected:

If the A string on a guitar is 440 (this maybe where my theory starts to go bad) and an octave is a doubling of frequency...then the A string on a bass would be 220 Hz. The E string would then be
~164Hz and the low B would be 123 Hz. But since we know the low B is really ~31 Hz....my math isnt adding up.

so where did i go wrong?
 
DougP said:
ok, so i am mis-informed somewhere along this line or reasoning and need to be corrected:

If the A string on a guitar is 440 (this maybe where my theory starts to go bad) and an octave is a doubling of frequency...then the A string on a bass would be 220 Hz. The E string would then be
~164Hz and the low B would be 123 Hz. But since we know the low B is really ~31 Hz....my math isnt adding up.

so where did i go wrong?

As msquared said, open A on a guitar is 110Hz, it's 55Hz on a bass.