$\dfrac54,\space\dfrac54,\space\dfrac43,\space\dfrac32,\space\dfrac32,\space\dfrac43,\space\dfrac54,\space\dfrac98,\space1,\space1,\space\dfrac98,\space\dfrac54,\space\dfrac54,\space\dfrac98,\space\dfrac98,\cdots$
Why is this sequence joyful?
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1 Answer
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Why is this sequence joyful?
Because it represents
(a version of) Beethoven's Ode to Joy.
Each fraction in the sequence equals the frequency ratio between a note and the root tone: Notes at the root have value $1$, and seconds, thirds, fourths, fifths, etc. correspond to terms $\frac{9}{8},\frac{5}{4},\frac{4}{3},\frac{3}{2}, \dots$
