Any other season apart from low, high, off and shoulder season? [closed]

Besides the general seasons, as discribed in the other answers, there can be school holiday seasons.
These are more clear when looking at a relative small area where many people stay within the area for their holidays and show very clearly where holiday parks show calendars with coloured coding for different price rates.

If there is a short holiday in low season, the prices of holiday parks often peak for just the period of that holiday.

Not as clear but working the same way is when there is a school holiday in the country many of the tourists are from, like where a lot of English holiday makers stay in Spain and there is a mid term holiday in England.

The more diverse the tourists are in an area, the less clear the peaks and the more likely a shoulder or high season develops, unless the holiday is a widely celebrated one like Easter and the school holidays fall in the same week in many countries.

There are also holiday seasons and event seasons. Those are defined by region and hotel property. I know of several hotels in Montreal for example which have low, high and Grand Prix pricing. There are different prices as dates get closer to major event. Last week, for example, I booked 7 days of hotel in Rio starting and ending before Carnaval and there is a 3X (!!) difference in price between the first night and the two nights which are main Carnaval days, so in this case the increase is more gradual.

Holidays such as the week between xmas and new year or semana santa, the week in which easter falls, often get a higher pricing tier even if they fall in the generally low season. Again, taking Montreal as an example, winter is low season but prices often go up from xmas to new year.