Ultrasonic transducer actual bandwidth for filtering
If total BW is defined as the 0.707 amplitude threshold ( -3dB) and on the lower half BW averages to -35kHz at 965 KHz, we might approximate it as a BW of 70kHz with a Q= 1000/70= 14 or inversely 1/Q=7.1%

Given a 10% 90% rise time,T = 0.35/f(-3dB) we expect a burst envelope rise time of 0.35/70kHz = 5 us or approximately 5 cycles at center f.

The center f tolerance is 30kHz @ 975kHz or 3%.  The actual error is 25kHz or +2.5%

The effective rise time will not change significantly when a pulsed carrier is within the 3% tolerance spec. The load impedance and steady-state power load will be very frequency sensitive off actual center, yet not during the risetime of the pulse.

Short Answer:

BW is not the same as Tolerance and is always expected to be greater otherwise it must be manually tuned.

Other ( for the advanced user)

e.g.  a Crystal with a natural 100 ppm tolerance is expect to have a BW of at least 100 to 200 ppm while MFG's with better process controls can achieve 25 to 50 ppm tolerance at 25'C although the BW will likely be the same.  

Again %Tolerance must always be less than %BW.
However in a "good" part, the %error tolerance on the %BW relative to centre f or Tolerance error of Q will always be much less than the center frequency error .

Special 10MHz SC cut Xtals with &lt;0.00001 ppm (1e-11) error at some ovenized temp, will still have a phase noise BW greater than 1e-11.   These are used for extremely stable OCXO's and Stratum Level clocks.

A very high Q LC filter with a % BW of 0.5 or a Q of 200 but has a tolerance error of 1% is not very practical as the Q is greater than its centre tolerance with poor results.  Since this is more difficult to produce low tolerance in LC components than crystals, LC BW's &lt; 1% are difficult unless manually tuned and then must be temperature compensated.

How will YOU define your requirements?