Anonymous authors like the one of the 16th-century Papadike ( EBE 899 ) maintained, that one of the minor tones in the tetrachord of nenano should be either smaller or larger than a tempered semitone, approaching the smallest interval of a third or a quarter of a tone.
12.
41-ET tempers out the 100 : 99 ratio, which is the difference between the greater undecimal neutral second and the minor tone, as well as the septimal kleisma ( 225 : 224 ), 1029 : 1024 ( the difference between three intervals of 8 : 7 the interval 3 : 2 ), and the small diesis ( 3125 : 3072 ).
13.
The major tone is the 9 : 8 interval, and it is an approximation thereof in other tuning systems, while the minor tone is the 10 : 9 ratio The 9 : 8 major tone arises in the C major scale between C & D, F & G, and A & B . This 9 : 8 interval was named epogdoon ( meaning'one eighth in addition') by the Pythagoreans.
