http://home.indy.net/~gregdunn/dynaco/components/ST70/index.html Start here with the basic specifications.
It also helps to understand that Tube Amps are constant-current devices such that power output does not increase or decrease with speaker impedance. With that in mind, comparing a solid-state amplifier to a tube amplifier can be a misleading exercise unless one understand exactly what is going on.
Here goes:
a) Your HK-730 is rated at 40 wpc/rms @ 8 ohms.
b) As it is a solid-state unit, that means it will put out approximately 80 watts at 4 ohms.
c) You have not given a speaker brand or efficiency, but suffice it that the difference between 35 watts and 80 watts is >3dB under any conditions.
In addition, tube amps clip very softly, as OPTs do not pass DC. To some ears, clipping = loud as that is typically what happens when the volume is turned all the way up and/or the signal has a low peak-to-average.
1.3V RMS will drive the 70 to its full output - what that means is if a pure sine-wave at 1,000 Hz is fed into the 70, it will deliver 35 watts to the load, whether it is 4, 8, or 16 ohms. Were that load to be a conventional speaker, it would burn up in short order if fed a pure sine wave at 35 watts. Musical signal is _NOT_ a sine wave, but speakers and amplifiers have to be rated somehow.
Which gets into peak-to-average. Generic "Heavy Metal" music has a p/a of about 10 dB. Meaning the loudest passages are only twice as loud as the average. Also true of most folk, & R&R, with some considerable exceptions. However, most (well-recorded) classical music has a p/a of 20 dB, with some as much as 30 dB (Saint-Saens Organ Symphony being one example).
NOW - let's get into Headroom: If you are driving your speakers at 1 watt, average, and you are playing most non-classical music, an amplifier with 30 watts of power and an 80-watt peak will do fine with only 10 dB of p/a.
If you are driving your speakers at 1 watt, average, and you are playing most classical music, you will need 100 watts of peak. The HK will clip harshly and sound "loud", the 70 will clip softly and sound soft.
Forget a 30 dB peak, you would need 1,000 watts for that.
The above is very broad-brush, with much detail either left out or ignored, but covers the very basic elements.