Difference between Incomprehensible and Enigmatical

INCOMPREHENSIBLE vs ENIGMATICAL: NOUN

A thing or being that cannot be circumscribed within limits or that cannot be grasped by the intellect.

Impossible or very difficult to understand
Not capable of being comprehended or understood; beyond the reach of the human intellect; inconceivable.
Not capable of being contained within limits.
Having no limits; boundless.
Impossible to know or fathom.
Difficult or impossible to understand or comprehend; unintelligible.
Incapable of being explained or accounted for
Difficult to understand

That is incomprehensible which may be known or believed as a fact, but of which the mode of existence or of operation, or of coming to pass, cannot be understood.
Not to be comprehended or understood; that cannot be grasped by the mind.
Not to be comprehended or comprised within limits; illimitable.

Uncomprehensible, Unaccountable, Unexplained, Opaque, Cryptic, Obscure, Paradoxical, Impenetrable, Inscrutable, Unintelligible, Unexplainable, Puzzling, Mystifying, Indecipherable, Inexplicable

Amphibological, Tenebrose, Mysterize, Unperplexed, Obscure, Amphibolous, Ambiguous, Inexplorable, Cryptic, Mysterious, Inscrutable, Uncomprehensible, Puzzling, Incomprehensible, Enigmatic

Uncomprehensible, Unaccountable, Unexplained, Opaque, Cryptic, Obscure, Paradoxical, Impenetrable, Inscrutable, Unintelligible, Unexplainable, Puzzling, Mystifying, Indecipherable, Inexplicable

Amphibological, Tenebrose, Mysterize, Unperplexed, Obscure, Amphibolous, Ambiguous, Inexplorable, Cryptic, Mysterious, Inscrutable, Uncomprehensible, Puzzling, Incomprehensible, Enigmatic

It is one of the most enigmatical and most tragic pages of the history of the period with which we are concerned.
That the oracles of God rejected all equivocal and enigmatical replies, which was the character of the Heathen pretended oracles.
The Gymnosophists of India delivered their philosophy in brief enigmatical sentences; a practice adopted and carried to a great extent by the ancient Egyptians.
He had always felt the absolute impossibility of addressing that enigmatical man, who was, in his eyes, both equivocal and imposing.
And shunning Circumlocution, where Uke theirs under terms Enigmatical, concealed by way of Numbers and Figures numberless.
His symbols are enigmatical and are therefore accompanied with explanations.
The observation from Jack was enigmatical, rather than reassuring.