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Fear is the path to the dark side. Fear leads to anger. Anger leads to hate. Hate leads to suffering.
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I'd suggest - and many psychological theories support this - that fear is the fundamental here and hatred and anger are forms of expression of that.
E.G. the dog that growls and bites is fundamentally exercising a strategy to deal with fear (fear of being hurt, hungry, of harm to family, etc.).   Hatred in real relationships ("real hate", not "i hate the dallas cowboys hate") is often seen as the proximal to love, but with fear of hurt, pain, etc. because of the power of said love.  
So...I think you've got hatred and anger which are two forms of expressing a fundamental form of fear. >

!delta This was simple and useful. It makes so much !sense and gives a new view to me. So for example, when I hate someone, and therefore don't want to meet them, what I fear is not them, but the meeting. >

Confirmed: 1 delta awarded to /u/iamintheforest (220∆).
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This is an interesting CMV. i like it.
for me, that is, in my own life... the things that cause the most fear are things that make me feel vulnerable. A generic example: were i to lose my job, i would be vulnerable to losing my house, and so i fear being made redundant. In this sense, "being vulnerable" is a state of being where I am ill equipped to successfully manage a situation.
and then... anger is (again for me) very often a cope for the state of being vulnerable. Anger activates a lot of behaviors: an assertive method of communication, a willing relinquishment of relationships (to support a more assertive method of communication), and de-valuing of potential future relationship states (i can't be hurt if i de-value a relationship). so anger, for me, doesn't exist on the "fear" continuum, but rather exists perpendicular; it is the tool i employ to stop feeling vulnerable.
and then hatred is less of an emotion... the more i think about hatred, hate is more of a rationalization. it is the justification as to why i am right, but much more than that, why "you" deserve bad. hate is the self-convincing i have to employ to justify the unhealthy application of the tool. hate is the method.
TLDR: i wouldn't put them on a common spectrum. rather, fear is a state, for which we learn anger can be a tool to resolve, and the method of deploying the tool of anger can sometimes be hateful.
i'm not suggesting that is the right way, simply that is a common way, at least for me.