Не то чтобы я не любил музыку, но сегодня мне хочется тишины.

Не то чтобы is a fixed expression. In this sentence, it means something like:

• it’s not that...
• not exactly that...
• it’s not as if...

So чтобы is not expressing purpose here. It is just part of the idiomatic pattern не то чтобы X, но Y.

The whole structure means: I’m not saying X is the real issue; rather, Y is the point.

Not in the English-school-grammar sense of two negatives making a positive.

Here the two не do different jobs:

• the first не is part of не то чтобы = it’s not that...
• the second не belongs to не любил = didn’t like / didn’t love

So the meaning is:

It’s not that I dislike music...

The speaker is rejecting that explanation, not simply stating the opposite in a direct way.

Not really. After не то чтобы, Russian very often uses the past tense to sound softer, more distanced, or more idiomatic.

So не то чтобы я не любил музыку does not necessarily mean that the speaker used to dislike music in the past. It is closer to:

• Not that I don’t like music
• It’s not as if I disliked music

Using the past here makes the statement feel less blunt.

You may also hear present tense in similar ideas, but не то чтобы я не любил... sounds very natural and idiomatic.

Because любить describes a general feeling, attitude, or state: to love / to like.

In this sentence, the speaker is talking about a general relationship to music, not about the moment when they started loving it.

Compare:

• любить / любил = to love, to like, to be fond of
• полюбить / полюбил = to come to love, to start loving

So полюбил музыку would mean something more like came to love music, which is not the idea here.

Because любить normally takes a direct object, and direct objects are usually in the accusative.

So:

• любить музыку
• любить книги
• любить лето

Since музыка is a feminine singular noun, its accusative singular form is музыку.

Мне хочется is a very common way to express a feeling, urge, or current mood. It is often softer and more natural than я хочу in this kind of sentence.

Compare:

• я хочу = I want
• мне хочется = I feel like, I’m in the mood for, I have a desire for

So сегодня мне хочется тишины means something like:

• today I feel like having some quiet
• today I’m in the mood for silence

It sounds more like a temporary inner feeling than a firm, deliberate want.

Мне is the dative form of я.

In the construction мне хочется, the person experiencing the desire is put in the dative:

• мне хочется = I feel like
• тебе хочется = you feel like
• ему хочется = he feels like

So literally, it is something like to me, it is desired, though that literal wording is not how you would translate it naturally.

This is a common Russian pattern with impersonal expressions.

After хочется, Russian often uses the genitive for the thing desired, especially when it is:

• abstract
• uncountable
• indefinite in amount

That is exactly the case with тишина.

So:

• мне хочется тишины
• мне хочется покоя
• мне хочется чаю

Here тишины suggests some quiet, peace and quiet, or a bit of silence.

Тишина would be wrong here, because that would be nominative. Тишину is much less natural in this sentence. Native speakers strongly prefer тишины here.

Because не то чтобы works here as one fixed unit.

So you write:

Не то чтобы я не любил музыку, но сегодня мне хочется тишины.

• no comma inside не то чтобы
• comma before но, because но joins two clauses:
  не то чтобы...
  • но сегодня...

A useful pattern to remember is:

Не то чтобы X, но Y.

Russian word order is flexible, but the version in your sentence is very natural.

Не то чтобы я не любил музыку, но сегодня мне хочется тишины.

This order does a few things well:

• first, it rejects one possible explanation
• then it introduces the real point
• сегодня highlights that this is a temporary mood, not a permanent attitude

You could also hear variations such as:

• Но сегодня мне хочется тишины
• Но мне сегодня хочется тишины

These are all possible, but they shift the emphasis slightly. The original sentence sounds smooth and neutral.