I'm sorry that my headphone suggestions were not satisfactory. It seems that I was not able to find a headphone that matched all the criteria you listed. While the above headphones are some of your better options overall, based on review scores and being brands trusted by professionals, here are some additional options that have a detachable cable for your consideration:

AKG Acoustics K240:

    Strengths: Detachable cable, warm sound, high comfort, good value for money
    Weaknesses: Weak in low-range
    Faults: Lower build quality
    Certainty: Low

Sennheiser HD 599:

    Strengths: Detachable cable, good value for money, high comfort
    Weaknesses: Slightly poorer sound quality described as "muddy"
    Faults: None
    Certainty: Low

Audio-Technica ATH-M40x:

    Strengths: Detachable cable, neutral sound, good value for money
    Weaknesses: Below-average comfort, slightly narrower soundstage
    Faults: Some reviews report quick wear on the headband and padding
    Certainty: Medium

Bose QuietComfort 25:

    Strengths: Detachable cable, high comfort
    Weaknesses: Over your budget, poorer sound quality for this price range
    Faults: None
    Certainty: Medium

Sony WHCH700N:

    Strengths: Detachable cable, wide soundstage, better comfort
    Weaknesses: Over your budget
    Faults: None
    Certainty: Medium

Philips Audio SHP9500:

    Strengths: Detachable cable, good value for money
    Weaknesses: Over your budget, narrow soundstage, heavier than alternatives which may impact comfort
    Faults: None
    Certainty: Medium

I hope this expanded list gives you enough options to base your purchasing decision on. Please let me know if you would like to expand this list with further suggestions. Please note that as a language model, I am not able to actively scour websites for the latest information, so my suggestions may be outdated or incomplete.
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