One of his many contributions to musical tuning theory was the suggestion of 2 3 − 2 4 {\displaystyle {\sqrt{\frac {2}{3-{\sqrt {2}}}}}} as the ratio for an equally-tempered semitone ( 2 12 {\displaystyle {\sqrt{2}}} ).
Una din numeroasele sale contribuții la teoria muzicii a fost sugestia că numărul 2 3 − 2 4 {\displaystyle {\sqrt{\frac {2}{3-{\sqrt {2}}}}}} este raportul unui semiton egal-temperat.