Butterworth vs Chebyshev

I know how to implement a Butterworth filter to control db/Octave. Basically, you put a FlterChain inside of a FilterChain

	using Filter = dsp::ProcessorDuplicator<dsp::IIR::Filter<float>, dsp::IIR::Coefficients<float>>;
	using Gain = dsp::Gain<float>;

	using CutFilter = dsp::ProcessorChain<
		CutFilter, //... Used for LowCut Filter
		Filter,    // Peak
		CutFilter, //... Used for HighCut Filter
		Gain> filter;

I would apply the Butterworth Coefficients to the CutFilters.

What would be the equivalent for Chebyshev? Is Db/Octave something that is done with Chebyshev coefficients. I notice that there is no “Order” variable in

static ReferenceCountedArray<IIRCoefficients> dsp::FilterDesign< FloatType >::designIIRLowpassHighOrderChebyshev1Method	(	FloatType 	frequency,
double 	sampleRate,
FloatType 	normalisedTransitionWidth,
FloatType 	passbandAmplitudedB,
FloatType 	stopbandAmplitudedB 

Is db/Octave different from db/Decade?
What is the purpose of a Chebyshev filter. It seems like distortion.

Can someone point me to working code example of a ChebyShev?

I believe octave would be the attenuation from 1khz to 2khz, and decade would be from 1khz to 10khz. Similar concept, different ranges. Someone correct me if I’m wrong.