My apologies for the oversight. Here are some options that have a detachable cable:

Sennheiser HD 660S:

Strengths: Wide soundstage, neutral sound, high comfort, detachable cable, good build quality
Weaknesses: Slightly over budget
Faults: None
Certainty: High

HIFIMAN Sundara:

Strengths: Wide soundstage, neutral sound, high comfort, detachable cable, good value for money
Weaknesses: None
Faults: None
Certainty: High

Massdrop x Sennheiser HD 6XX:

Strengths: Wide soundstage, neutral sound, high comfort, detachable cable, good value for money
Weaknesses: None
Faults: None
Certainty: High

AKG K702:

Strengths: Wide soundstage, neutral sound, detachable cable, good build quality
Weaknesses: Average comfort, slightly over budget
Faults: None
Certainty: High

These options should meet your criteria and provide you with a good listening experience.
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