Pythagorean Comma - Size

Size

The size of a Pythagorean comma, measured in cents, is

or more exactly, in terms of frequency ratios:

\frac{\hbox{apotome}}{\hbox{limma}}
=\frac{3^7/2^{11}}{2^8/3^5}
= \frac{3^{12}}{2^{19}}
= \frac{531441}{524288}
= 1.0136432647705078125
\!

Read more about this topic:  Pythagorean Comma

Famous quotes containing the word size:

    Beauty depends on size as well as symmetry. No very small animal can be beautiful, for looking at it takes so small a portion of time that the impression of it will be confused. Nor can any very large one, for a whole view of it cannot be had at once, and so there will be no unity and completeness.
    Aristotle (384 B.C.–322 B.C.)

    Our brains are no longer conditioned for reverence and awe. We cannot imagine a Second Coming that would not be cut down to size by the televised evening news, or a Last Judgment not subject to pages of holier-than-Thou second- guessing in The New York Review of Books.
    John Updike (b. 1932)

    For truly I tell you, if you have faith the size of a mustard seed, you will say to this mountain, ‘Move from here to there,’ and it will move; and nothing will be impossible for you.
    Bible: New Testament, Matthew 17:20.