All perfect praise be to Allah, the Lord of the worlds. I testify that there is none worthy of worship except Allah and that Muhammad is His slave and Messenger.
It is not permissible to listen to musical instruments, even without a human voice, whether they are in the news broadcasts, documentaries, computer games, and so on. When there is a sound of music, it is an obligation to mute it.
What you heard - that it is permissible to listen to them without a human voice - is not correct. For more benefit, please refer to fatwa 81545.
We did not understand what you mean by ‘music which does not involve musical instruments’; if you mean the sound effects that are generated by the computer and resemble music, then the ruling on it is the same as the ruling on music because the Shariah equates between two similar things and does not differentiate between them in the same manner that it does not equate two different things; as we have already discussed in fatwa 352798.
It is not permissible for a woman to sing a nasheed, even without musical instruments, in such a way that men can listen to her, or that she records this in an audio so that men can listen to her, because a woman is Islamically prohibited from speaking in a soft voice before non-Mahram (marriageable) men, as Allah says (what means): {…then do not be soft in speech [to men], lest he in whose heart is disease should covet, but speak with appropriate speech.} [Quran 33:32]
Ibn Katheer said in his Tafseer (interpretation of the Quran), "As-Suddi and others said that this means: do not be soft in speech when addressing men… i.e. she should not address non-Mahram men in the same way that she addresses her husband."
The scholars of Fiqh said that it is forbidden for her to raise her voice in prayer with Quran recitation in the presence of men, and that it is forbidden (for men) to seek pleasure in listening to her voice.
Kash-shaaf Al-Qinaa’ reads, "It is forbidden to enjoy listening to her voice, even when she recites the Quran, out of fear of being tempted by it; this has already been discussed in the Chapter on Prayer. She should pray silently if a non-Mahram man can hear her. The narration of Muhanna says, 'A woman should lower her voice when she recites the Quran, if she recites it at night.'"
The fatwa of the Standing Committee reads:
"The woman's voice is not an ‘Awrah (something that must be hidden and should not be exposed to the public) in itself; it is not forbidden to hear it, except when she speaks in a soft, seductive manner, as this is forbidden from her for other than her husband, and it is forbidden for men other than her husband to listen to it, as Allah says (what means): {O wives of the Prophet, you are not like anyone among women. If you fear Allah, then do not be soft in speech [to men], lest he in whose heart is disease should covet, but speak with appropriate speech.} [Quran 33:32]"
When a woman's voice is found to be soft and attractive, then it is not permissible for men to listen to it, whether it be in documentaries, games, or otherwise. For more benefit, please refer to fatwa 263791.
We advise you to fear Allah and to turn to Him, especially given that you are at a young age, so do not blacken your register of deeds with sins and acts of disobedience.
Allah knows best.