Kevin Matsubara |> けど、けれど、けれども、のに

肉じゃがを　上手にできなかった。　
I made nikujaga, it did not turn out well.
母親は　るとい。　
My mother is kind when she is angry, she is scary.
明日は　どこへもいかない。　
Tomorrow I am free, I am not going anywhere.
アップルパイが大、食べと、太っちゃう。　
I love apple pie, when I eat , I (always) became fat　(and I am not happy about that).
彼は16学校に行っていない。　
He is 16 years old does not go to school.

けど　＞　けれど　＞　けれども

Casual > Polite

りたいんです　があいてないんです。
I want to sit, there are no chairs available (For example when talking to staff, more polite than けど).

Expresses an emotion like a complaint, unsatisfaction, disappointment or admiration.

父はいつもは酒を　今日はたくさん飲んでいる。　
My father never drinks, today he is drinking a lot (expresses a complaint, you can also replace with けど but it then changes intonation).
毎日10時間　だいがくにでこなかった。
I studied 10 hours every day, I did not graduate to college　(disappointment).
この店、　料理がおいしくない。
This restaurant is expensive the food is not tasty　(complaint).
あのは　親に捨てられた。
That magazine was important (to me) my parents threw it away　(complaint).
あの子はまだ　漢字が書けるんです。
that child is 5 years old, she can already write kanji　(admiration).

のに is usually interchangable with けど、 but のに adds emotion to the sentence.

Here, you express no emotions, so のに is not used;