LC Tank - Sine Wave Generator and RLC Oscillator Core - Simply Put 

As I go over in the video, the resistor affects the flow of current linearly, meaning it is constantly dropping a percentage of the voltage (according to V=I*R) which affects the amplitude of the signal, not the frequency. A resistor dissipates power; It does not literally "slow down" the flow.

@@simplyput2796 interesting you bring that up. I used to think of resistors in terms of slowing down the current until I realized the effective "slowing" of current was merely a phenomenon caused by their primary power dissipation function. A 'current limiting' resistor in an LED circuit is actually a power dissipator which only allows a limited current to flow through it based on TEMPERATURE (and that's an important feature most people forget to mention, because the temperature of the component is the result of power dissipation over time and ambient factors). ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-VSHqlK6bOf4.html

Perfect ideal components would oscillate at the one frequency and no other, but real components and circuits will have noise, and from what I've seen (since I'm still doing the learning), some of the more advanced oscillator circuits using LC tanks specifically counteract this using various tricks.