This resonant 15m, 20m, 40m antenna, which also tunes to 17m, will work DX on the high bands. I am not a 10m op, but it should also tune to 10m, with a strong tuner. It is best for short to medium distance on 40m (think most of USA), but will work out farther.
Perched halfway up a small mountain (240m above sea level), I contacted over 20 stations from my HL1ZIX QTH to the EU and the Middle East, in just a few hours. I was running 90 watts, or less. Most DX stations were 3,000 to 5,000 miles away. I also worked several contacts between 400 and 2,000 miles on 40m, as well as one contact out to 4,100 miles, in Oman. Not bad!
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The "Buddy-based" antennas are of excellent build quality, but darned expensive, and they require set-up and change work between bands. This antenna, which I called "the buddy-killer" is both simple, easy to make, and extremely effective. You don't have to get out of the chair to work all of the bands, once set up. It does not compromise on any band, except about 1/2 s-unit on 17m, with DX still doable. On 15m, 20m, and 40m, it is completely resonant and highly efficient!
This antenna is simple to build, because you just need to cut the wires to provided lengths. The 20m portion should be spot-on. It's also adjustable by folding ends of wires, but it should be close. I love this antenna, because I don't need a tuner on 15m, 20m, or 40m, and I can also work 17m with a tuner. If I want to change bands, I just flip a switch. No lowering the antenna to tap coils to change bands! The really nice addition is that 20m is vertically-polarized, so I can work more DX there. You can also experiment with the 40m legs, adding a lot more wire, and unrolling it for 80m, if you care to work NVIS from that band.
To build this antenna, you will need:
1. About 32 meters (105 feet) of wire 14awg or 16awg recommended.
2. An inexpensive 1:1 balun at the feedpoint (not necessary, but highly recommended)
3. A 12m (40ft) Spiderbeam HD fiberglass pole, or a tree at least that high
4. Some thin rope for tying the ends of the 40m legs
5. Some electrical tape, for taping wire to the pole
Here is a video of a contact from Korea to Australia (over 5,000 miles) on a different outing, using this same antenna: