Don't think of it as +1minute song Duration, think of it as Battle Voice +33%. It increases the effectiveness of your 15minute drastically, so it's pretty useful.
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I think though if you've played FFXI you probably expected a bit more even if it was subconsciously. In all reality it feels it enhances the Archer part of Barcher rather than the BRD part which is why I feel it was too early for them to introduce this class with a lack of choice, but eh, people use it over Archer now even for DD, so it works.
Y War last? :(
pld > drg = brd > war = mnk > blm > whm
pld is strongest all-around. drg has the best bonuses otherwise. the extra minute on songs gives brd more time to dps and support without needing to recast songs (and as previously mentioned is even better on BV). war and mnk are both upgrades over the garuda counterpoints simply by virtue of increased DPS alone- with bravura being even better for tank/offtank use. people are really underrating the value of sphairai and it's silly (higher damage, 60 attk, increased fists uptime with refresh, slight increase to shoulder tackle dmg- all contribute towards increasing mnk's damage ceiling). blm is a great piece but you have to make sure you're able to compensate for the loss of accuracy (pending encounter), and so far conserve mp seems underwhelming. whm is the most overrated of all the relics as it has a silly bonus (lolholy) and pretty much only gives you a couple more hp per tick on your regen.