The Newton temperature scale was defined by Isaac Newton in 1701 setting as 0 on this scale "the heat of air in winter at which water begins to freeze", or in other words, 0 as in Celsius scale, and the value 33 for "heat at which water begins to boil", so around 100 ℃, being exactly 100 the value commonly used for conversions between both scales. The Newton is represented as °N after the value.
The Rømer temperature scale was proposed by Ole Christensen Rømer in 1701. This measure was fix the zero initially using freezing brine, then it adjusts 60 degree at the point of the boiling of pure water and 7.5 degree as the freezing point. The unit is represented by °Rø after the value. Beware sometimes it has appeared as °R just like for Réaumur and Rankine scales.
The Rømer temperature scale values are calculated from Newton using the formula $$Newton × {35 \over 22} + 7.5$$
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