The frequencies of the notes in a scale—do, re, mi, fa, sol, la, ti, do—sound to us like they're rising in equal steps. But objectively their vibrational frequencies are rising by equal multiples. We perceive pitch logarithmically.


The Joy of x: A Guided Tour of Math, from One to Infinity (ed. Houghton Mifflin Harcourt, 2012) - ISBN: 9780547517667


The frequencies of the notes in a scale—do, re, mi, fa, sol, la, ti, do—sound to us like they're rising in equal steps. But objectively their...

The frequencies of the notes in a scale—do, re, mi, fa, sol, la, ti, do—sound to us like they're rising in equal steps. But objectively their...

The frequencies of the notes in a scale—do, re, mi, fa, sol, la, ti, do—sound to us like they're rising in equal steps. But objectively their...

The frequencies of the notes in a scale—do, re, mi, fa, sol, la, ti, do—sound to us like they're rising in equal steps. But objectively their...