I answer that According to the Philosopher (Phys. vii, 17, 18), virtue is a perfection, and by this we are to understand the perfection of a power, and that it regards the extreme limit of that power, as stated in De Coelo i, 116. Now the perfection of a power is not perceived in every operation of that power, but in such operations as are great or difficult: for every power, however imperfect, can extend to ordinary and trifling operations. Hence it is essential to a virtue to be about the difficult and the good, as stated in Ethic. ii, 3.
Now the difficult and the good (which amount to the same) in an act of virtue may be considered from two points of view. First, from the point of view of reason, in so far as it is difficult to find and establish the rational means in some particular matter: and this difficulty is found only in the act of intellectual virtues, and also of justice. The other difficulty is on the part of the matter, which may involve a certain opposition to the moderation of reason, which moderation has to be applied thereto: and this difficulty regards chiefly the other moral virtues, which are about the passions, because the passions resist reason as Dionysius states (Div. Nom. iv, 4).
Now as regards the passions it is to be observed that the greatness of this power of resistance to reason arises chiefly in some cases from the passions themselves, and in others from the things that are the objects of the passions. The passions themselves have no great power of resistance, unless they be violent, because the sensitive appetite, which is the seat of the passions, is naturally subject to reason. Hence the resisting virtues that are about these passions regard only that which is great in such passions: thus fortitude is about very great fear and daring; temperance about the concupiscence of the greatest pleasures, and likewise meekness about the greatest anger. On the other hand, some passions have great power of resistance to reason arising from the external things themselves that are the objects of those passions: such are the love or desire of money or of honor. And for these it is necessary to have a virtue not only regarding that which is greatest in those passions, but also about that which is ordinary or little: because things external, though they be little, are very desirable, as being necessary for human life. Hence with regard to the desire of money there are two virtues, one about ordinary or little sums of money, namely liberality, and another about large sums of money, namely "magnificence."
In like manner there are two virtues about honors, one about ordinary honors. This virtue has no name, but is denominated by its extremes, which are {philotimia}, i.e. love of honor, and {aphilotimia}, i.e. without love of honor: for sometimes a man is commended for loving honor, and sometimes for not caring about it, in so far, to wit, as both these things may be done in moderation. But with regard to great honors there is "magnanimity." Wherefore we must conclude that the proper matter of magnanimity is great honor, and that a magnanimous man tends to such things as are deserving of honor.