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In terms of frequency ratios "flattening" is not "subtracting" at least not mathematical subtraction. In the way that you are expressing it the mean tone fifth would be (3/2)/[ (81/80)**(1/4)]=1.495... The reduction is achieved by division. Often you want to think about things in terms of cents: a logarithmic measure of pitch. By working with these the ...


2

Mathematically, everything about pitch is logarithmic. "Adding a perfect fifth" really means "multiply the pitch by 3/2. So "subtracting a syntonic comma" means multiplying by the reciprocal of the comma; and "a quarter of" means the fourth root of. So try working out: 3/2 x 4th-root(81/80) ...and see if this is more like the correct answer. (I haven't ...



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