<P> 27 - EDO is the smallest EDO that uniquely represents all intervals involving the first eight harmonics . It tempers out the septimal comma but not the syntonic comma . </P> <P> 29 - TET is the lowest number of equal divisions of the octave that produces a better perfect fifth than 12 - TET . Its major third is roughly as inaccurate as 12 - TET; however, it is tuned 14 cents flat rather than 14 cents sharp . It tunes the 7th, 11th, and 13th harmonics flat as well, by roughly the same amount . This means intervals such as 7: 5, 11: 7, 13: 11, etc., are all matched extremely well in 29 - TET . </P> <P> 31 tone equal temperament was advocated by Christiaan Huygens and Adriaan Fokker. 31 - TET has a slightly less accurate fifth than 12 - TET, but provides near - just major thirds, and provides decent matches for harmonics up to at least 13, of which the seventh harmonic is particularly accurate . </P> <P> 34 EDO gives slightly less total combined errors of approximation to the 5 - limit just ratios 3: 2, 5: 4, 6: 5, and their inversions than 31 EDO does, although the approximation of 5: 4 is worse . 34 EDO doesn't approximate ratios involving prime 7 well . It contains a 600 - cent tritone, since it is an even - numbered EDO . </P>

Who established equal temperament and what work did he exemplify this new major/minor system