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Theory

Contra octave

The contra octave covers the notes from contra C to contra B, written C₁ to B₁. It lies below the great octave and begins at 32.7 Hz. The low strings of the double bass, the pipes of a 16-foot stop and the lowest piano keys belong to it.

Range
C₁ to B₁
Notation
capital letter with a subscript 1
Scientific
C1 to B1
Lowest note
C₁ = 32.70 Hz
Highest note
B₁ = 61.74 Hz
Next lower
sub-contra octave, C₂ to B₂

Below the great octave

In the older German system the octaves are counted upwards from the small c with strokes and downwards with names: the great octave carries capital letters, C to B, below it follows the contra octave with a subscript 1, then the sub-contra octave with 2. In the scientific count used in this glossary, contra C is “C1”, the great C is “C2”, and middle C “C4”. Each octave downwards halves the frequency, which is why C₁ with 32.7 Hz has exactly half as many vibrations as the great C with 65.4 Hz.

The strings of the double bass (sounding)

E A D G

The four strings of the double bass sound E1, A1, D2 and G2. The two lowest, marked, lie in the contra octave. Notes played are written for the double bass an octave higher than they sound, so that not so many ledger lines are needed below the staff.

Frequencies

The table gives the seven notes of the contra octave. The values follow from the standard pitch A4 = 440 Hz and the equal division described on the page Standard pitch. For comparison: the lower limit of hearing is at about 20 Hz, so the notes of this octave still lie in the audible range, but near its lower end. Small loudspeakers can hardly reproduce them; you then hear mainly the overtones.

NoteScientificFrequency at A4 = 440 Hz
C₁C132.70 Hz
D₁D136.71 Hz
E₁E141.20 Hz
F₁F143.65 Hz
G₁G149.00 Hz
A₁A155.00 Hz
B₁B161.74 Hz

Where you play it

On the organ contra C sounds when you press the lowest key C on a 16-foot stop: the pipe is about five metres long. The 32-foot stop goes an octave lower into the sub-contra octave. The piano with its 88 keys reaches down to A0, the sub-contra A (A₂ in the older system); contra C is the fourth key from the bottom. On the double bass and the electric bass the lowest open string, E1 = 41.2 Hz, lies in the contra octave.

Practice: If you want to master the octave names reliably, practise them on an instrument you know, for example on the lowest string of a bass guitar: E1, then at the 12th fret E in the great octave. On the page Reading music octave registers and clefs are shown in context.

Common mistakes

  • Confusing the number with the scientific octave number: contra C with subscript 1 is C1; here both numbers agree. For the upper octaves, written with strokes above, the scientific number is by contrast three larger.
  • Equating the notation of the double bass with the sound: it sounds an octave lower than notated.
  • Expecting too much of small loudspeakers: below about 100 Hz they hardly reproduce anything.