
Sawtooth Waveform Modulation
Most classic synths have common static waveforms, but Korg decided to give these some life, let's start with the most common. Sawtooth waveforms contain even harmonics and sound like brass instruments and is commonly used for bass sounds. Morphs the sawtooth into a double sawtooth. Applying an LFO modulation sounds like 2 sawtooths detuned with only using 1 oscillator.

Control 1: Applies static modulation, at 0 it's a pure sawtooth, at 127 it's a double sawtooth. (this can be modulated using virtural patch cords or a Modulation Sequencer)

Control 2: Provides the amount of modulation from LFO 1. Usually, set Control 1 to 64 when using LFO 1 modulation.
Square Waveform Modulation
Square waveforms contain odd harmonics and sound like woodwinds when the pulse width is narrow it can sound very reedy. Can be used for string and pad sounds when the pulse is modulated by an LFO. This is the familiar Pulse width modulation (PWM) we all know and love. LFO modulation gives you a square wave that transforms into a narrow pulse.

Control 1: Sets the Pulse width at 0 it's a pure square wave at 127 the pulse is so narrow you can barely hear it. (this can be modulated using virtural patch cords or a Modulation Sequencer)
Control 2: Provides the amount of pulse width modulation from LFO 1. Usually, set Control 1 to 64 when using LFO 1 modulation.
Triangle Waveform Modulation
Triangle waveforms contain little harmonics and is good for flute type sounds. This mangles the triangle waveform using a single-stage wave-folder. The triangle wave is amplified but instead of clipping, it is folded back upon itself approaching a double triangle. It sounds a little like FM.

Control 1: Applies amount of folding, at 0 the triangle is unaltered, at 127 it is folded onto itself producing a double triangle wave. (this can be modulated using virtural patch cords or a Modulation Sequencer)
Control 2: Provides the amount of modulation from LFO 1. Usually, set Control 1 to 64 when using LFO 1 modulation.
Sine Waveform Modulation
Sine waveform is the most basic of all waveforms, it only contains one harmonic and is not well suited for filtering.
Not really sure what is going on here, but it sounds cool. It changes the overtone structure of the sine wave.

Control 1: Applies harmonic modulation, at 0 the sine is pure, at 127 the waveform is more complex. (this can be modulated using virtural patch cords or a Modulation Sequencer)
Control 2: Provides the amount of modulation from LFO 1.
Comming Soon: Cross Modulation, Unison Modulation, VPM (Variable Phase Modulation), Formant Synthesis, Noise: Deluxe, Synth PCM 64 Samples (3 suitcase pianos with velocity switching, 2 claves, 8 organs, 3 guitars, 4 bass, 1 strings, 4 pad sounds, 4 noise sounds, 34 single cycle, 1 infinite barber pole), Drum PCM 128 Samples (17 Kick Drums, 31 snares, 4 claps, 12 Hi-hats, 5 cymbals, 10 toms, 5 percussion, 10 synth & noise, 34 Attack Sounds), Audio IN
All thiat is just Oscillator 1, Oscillator 2 includes the following, Classic waveforms with Ring, Sync and Ring/Sync