Well, the OP did not say what kind of receiver he is using and I think it's perfectly reasonable to assume that he's most likely to have started out on the lower cost end. Lots of handheld SW receivers are extremely sensitive and with lousy dynamic range.
But we have no reason to suppose that the OP has such a radio. And with the more expensive radios for listening, sensitivity will be just as high and there is little need for a resonant antenna above the A.M. broadcast band. At BC or below a resonant antenna will help to counter the insensitivity of the small highly directional magnetic loops that are generally best for good DX work.
The thread right before this one (Recommendation for an antenna) in this same forum the OP discusses his radio, an Icom R75. Along with that it took less than 45 seconds to click his name on his post, select “Find all post by shortride” and find him asking about the R75 and the R7100. Similarly it took about the same amount of time to do that with regards to you and find out you use or have used a Sat 750, a PCR-1500, and a 40 foot random wire. You may use other things as well, but those are what showed up without taking the time to open any posts. In general, before I respond to anyone whom I am not familiar with, I always try to look at a few past posts, just to see what their experience level is. We all have brain fade moments and can post something sounding very newby’ish accidentally, even if very experienced.
For Shortwave listening you usually want to avoid resonance since any piece of wire longer than about fifteen feet, if properly placed, will almost always give you as much signal as your receiver needs. Of course any antenna has a resonance, so many are purposely cut to put that resonance out of the bands that the user wants to listen on.
The other aspect of this 15 foot universal length solution up is how do you feed it? Attach the center-conductor of 100 feet of RG-174 to the very end of this short wire? - not a good solution unless natural attenuation is what one desires to build. I wish life were just this simple.
Perfectly practical as long as the connections are mechanically sound and the shield of the Coax is grounded. I happen have 100 feet of 75 ohm coax attached to my antenna and it works just fine. Of course it would be silly to do this if I was also transmitting, but I'm not. At HF the loss in such a piece of coax is under two DB. Not worth worrying about.
I know about modern receivers having enough gain to deal with short antennas, but there is no need to fear resonance with antennas designed to match the feedline impedance. You may not need it, but from what I've read, it almost sounds like 15 feet of wire is all you need for anything, and manufacturers would do well to save consumers money by not even including 9:1 baluns or any other sort of impedance matching components in their antennas.
There is virtually no good reason to match feedline impedance with a highly sensitive modern receiver. For transmission of course it is essential. But this is a forum for receiver antennas, not transmitting antennas. For receivers low noise is as important or more so than pure sensitivity. An antenna that brings more signal to the front end also brings more noise.
Possibly if you are listening to power house SW BC stations there is little need for a resonant antenna or an antenna longer than 15 feet. But chasing weak signals, utilities, pirates, and flea power SW BC stations a resonant antenna, or random wires with large capture areas, can make all the difference in the world.
Out of curiosity I just now tried something, admittedly I had never tried an intentionally suboptimal antenna like a 15 foot wire compared to any of my other antennas. Among other antennas I have dipoles or Inverted-V’s here for 160, 80, 60, 40, and 20 meters. There is an extra feedline going up one of my main towers so I attached a 18 foot chunk of wire to it (longer than the 15 foot minimum you describe, no balun, since you say impedance is not important for receive applications), oriented along the same rough bearing as the 40 and 160 meter Inverted-V’s, other antennas are on other bearings. The 18 foot wire is at a height of about 32 feet, the other antennas are probably pretty close to that on average, with some a bit higher and one or two slightly lower. 18 feet of wire should approach resonance at about 13 MHz, and the 32 feet should be plenty high for that freq. For this comparison I did not use any of my directional wire antennas, the Rhombics and wire beams were not compared.
The feedlines for all antennas tested are approximately the same length, roughly 90 to 140 feet, depending on which antenna. The feedline used is RG-214 and LMR-400, depending on which antenna it is. All feedlines are properly grounded and have identical lightning protection. The 18 foot random wire is fed with about 110 feet of RG-214.
For simplicity I am going to call the 18 foot antenna, antenna “S” (for “short”

from now on.
The first test was “S” against the 40 meter Inverted-V. Starting in the V’s wheelhouse at 7240 kHz the noise floor on the V is about –135 dBm (20 kHz sample width on the Excalibur). Going to “S” the noise floor for the same sample width is about –127 dBm. Noise floor advantage, at the V’s resonant frequency, to the V.
Picking freqs at more or less random, noise floor, V vs 20 footer:
3000 kHz, -145 dBm for the 40V, -132 dBm for “S”
5000 kHz, -141 dBm for the 40V, -137 dBm for “S”
9000 kHz, -137 dBm for the 40V, -123 dBm for “S”
13000 kHz, -146 dBm for the 40V, -134 dBm for “S”
17000 kHz, -146 dBm for the 40V, -137 dBm for “S”
20000 kHz, -145 dBm for the 40V, -138 dBm for “S”
24000 kHz, -143 dBm for the 40V, -140 dBm for “S”
28000 kHz, -145 dBm for the 40V, -143 dBm for “S”
Every freq, from 3000 to 28000 kHz tested, including the resonant freqs of both antennas, show the Inverted V has a lower noise floor. I am thinking maybe the lack of a balun on “S” is hurting us here.
Next would be sample signals, selected at random, to show signal to noise ratios. I intentionally did not pick any signals that one antenna could receive and the other could not see at all. For this purpose the SNR is defined as the peak signal level above the average noise floor on a 20 kHz span sample. Noise floor is averaged over 2 seconds and peak signal level is defined as the peak signal in a 15 second period of time.
2500 kHz WWV, 16 dB SNR on 40V, 14 dB SNR for “S”
5000 kHz WWV, 47 dB SNR on 40V, 45 dB SNR for “S”
10000 kHz WWV, 72 dB SNR on 40V, 63 dB SNR for “S”
15000 kHz WWV, 62 dB SNR on 40V, 67 dB SNR for “S”
20000 kHz WWV, 26 dB SNR on 40V, 30 dB SNR for “S”
4555 kHz CODAR, unk loc, 45 dB SNR on 40 V, 28 dB SNR on “S”
6360 kHz GW-Tor sig, 38 dB SNR on 40V, 28 dB SNR on “S”
8694 kHz Unk FSK, 850 Hz shift, 70 dB SNR on 40V, 64 dB on “S”
10430 kHz Unk FSK, 850 Hz shift, 65 dB SNR on 40V, 37 dB on “S”
12828.5 kHz Unk STANAG 4285, 30 dB SNR on 40V, 35 dB SNR on “S”
15610 kHz WEWN BC stn, 55 dB SNR on 40V, 60 dB SNR on “S”
20500 kHz Unk OTHR, 32 dB SNR on 40V, 23 dB SNR on “S”
The take away form this is that antenna “S” could not compete with the 40 meter inverted V through most of the HF range. Near frequencies that it was resonant on and the 40 meter was not “S” did better, but only slightly. I suspect if it was a dipole and had a balun it would do better yet near those resonant freqs.
How about a bigger antenna, lets say the 160 meter inverted V? OK, it is not truly an inverted V because the included angle is not quite small enough, call it a dropping dipole. This antenna is mounted with the feed point at about 40 feet, very much less than optimal for 160 meters. To make things a little better for antenna “S” the 160 antenna does NOT have a 1:1 balun, it is simply a dipole fed by direct connection to the RG-214 center conductor and outer shield. The 160 meter antenna is cut for 1925 kHz.
Noise floor:
890 kHz, -132 dBm for 160V, -145 dBm for “S”
1925 kHz, -127 dBm for 160V, -145 dBm for “S”
3000 kHz, -123 dBm for the 160V, -132 dBm for “S”
5000 kHz, -137 dBm for the 160V, -137 dBm for “S”
9000 kHz, -137 dBm for the 160V, -123 dBm for “S”
13000 kHz, -140 dBm for the 160V, -134 dBm for “S”
17000 kHz, -142 dBm for the 160V, -137 dBm for “S”
20000 kHz, -133 dBm for the 160V, -138 dBm for “S”
24000 kHz, -132 dBm for the 160V, -140 dBm for “S”
28000 kHz, -145 dBm for the 160V, -143 dBm for “S”
A bit more of a mixed bag here, antenna “S” competing much better now, with lower noise floor than the 160V on several frequencies, a huge difference down on the freq 160V is resonant on. The much, much bigger antenna (about 243 feet of wire), with a much greater capture area is bringing in a lot more noise. But, does it also bring in bigger signals to compensate for that bigger noise?
2500 kHz WWV, 26 dB SNR on 160V, 20 dB SNR for “S”
5000 kHz WWV, 40 dB SNR on 160V, 43 dB SNR for “S”
10000 kHz WWV, 65 dB SNR on 160V, 60 dB SNR for “S”
15000 kHz WWV, 60 dB SNR on 160V, 75 dB SNR for “S”
20000 kHz WWV, 33 dB SNR on 160V, 30 dB SNR for “S”
550 kHz MW BC, 70 dB SNR on 160V, 55 dB SNR for “S”
850 kHz MW BC, 40 dB SNR on 160V, 20 dB SNR for “S”
1650 kHz MW BC, 45 dB SNR for 160V, 20 dB SNR for “S”
4555 kHz CODAR, unk loc, 40 dB SNR on 160 V, 22 dB SNR on “S”
6360 kHz GW-Tor sig, 47 dB SNR on 160V, 36 dB SNR on “S”
8694 kHz Unk FSK, 850 Hz shift, 65 dB SNR on 160V, 55 dB on “S”
10430 kHz Unk FSK, 850 Hz shift, 47 dB SNR on 160V, 30 dB on “S”
12828.5 kHz Unk STANAG 4285, 23 dB SNR on 160V, 27 dB SNR on “S”
15610 kHz WEWN BC stn, 70 dB SNR on 160V, 65 dB SNR on “S”
29850 kHz SKiYMET meteor radar, 30 dB SNR on 160V, 20 dB SNR on “S”
On all of these signals the 160V produced a higher SNR than antenna “S”, with the exception of near “S” resonance and on the 5000 kHz WWV. So yes, the noise floor was up on the bigger antenna, but so were the signals levels.
Yeah, a random hunk of wire just connected to the coax / feedline will work, no doubt. And if you get it up high and away from noise it will be pretty decent. I have a feeling many of us start out that way. But a good, resonant, antenna will work better, even for receive only applications.
Personally, I have not made do with one antenna in decades. Typically I use several antennas, some resonant at low freqs, some at mid freqs, some at higher freqs, and select among those as needed. Unless a person is space limited there is no good reason not to have multiple antennas, on multiple bearings, and optimized for different parts of the spectrum.
A short antenna also has the advantage of more or less omnidirectional pattern at common shortwave frequencies.
This is also a disadvantage. A couple of slightly directional antennas on different bearings can help deal with noise sources and also when there are multiple stations on freq or near the same freq.
T!