Question

The note E has a frequency of 1,319 hertz. The note G# has a frequency of 1,661 hertz. Findthe ratio of G# to E to two decimal places. Express the answer in integer-ratio form.

Answer 1

The ratio of the frequency of musical note G# to the frequency of musical note E, when rounded to two decimal places, is approximately 63:50.

Step-by-step explanation:

To find the ratio of the frequency of the musical note G# to the frequency of the musical note E, we divide the frequency of G# by the frequency of E and express the answer in integer-ratio form rounded to two decimal places.

We have been given:

• Frequency of E = 1,319 Hz
• Frequency of G# = 1,661 Hz

To find the ratio, we calculate:

Ratio of G# to E = Frequency of G# ÷ Frequency of E = 1,661 Hz ÷ 1,319 Hz = 1.259 Hz

Now we round this to two decimal places: 1.26 Hz.
To express this as an integer ratio, we can think of 1.26 as 126/100, which simplifies to 63/50.

Therefore, the ratio of the frequency of G# to the frequency of E is approximately 63:50.

Answer 2

ok

`\text{ratio = }(1.319)/(1.661)\text{ = 0.79}`

Integer ratio form

0.79 : 1