E |161.27 |322.54 |645.08 |1290.16 |
F |170.86 |341.72 |683.44 |1366.87 |
F♯ |181.02 |362.04 |724.08 |1448.15 |
G |191.78 |383.57 |767.13 |1534.27 |
G♯ |203.19 |406.37 |812.75 |1625.50 |
A |215.27 |430.54 |861.08 |1722.16 |
A♯ |228.07 |456.14 |912.28 |1824.56 |
B |241.63 |483.26 |966.53 |1933.06 |
C |256. |512. |1024. |2048. |

Much interesting and valuable exercise may be derived from the
investigation of this table by figuring out what certain intervals
would be if exact, and then comparing them with the figures shown in
this tempered scale. To do this, select two notes and ascertain what
interval the higher forms to the lower; then, by the fraction in the
table below corresponding to that interval, multiply the vibration
number of the lower note.

EXAMPLE.--Say we select the first C, 128, and the G in the same
column. We know this to be an interval of a perfect fifth. Referring
to the table below, we find that the vibration of the fifth is 3/2 of,
or 3/2 times, that of its fundamental; so we simply multiply this
fraction by the vibration number of C, which is 128, and this gives
192 as the exact fifth. Now, on referring to the above table of equal
temperament, we find this G quoted a little less (flatter), viz.,
191.78. To find a fourth from any note, multiply its number by 4/3, a
major third, by 5/4, and so on as per table below.

TABLE SHOWING RELATIVE VIBRATION OF INTERVALS BY IMPROPER FRACTIONS.