2 ms·
I've been playing music all my life and even took theory courses in college and this whole thing is blowing my mind so I got out Excel and did a little math and
by protonfish 12y ago
I've been playing music all my life and even took theory courses in college and this whole thing is blowing my mind so I got out Excel and did a little math and discovered that the adjustments of equal temperament are significantly larger that 1.5000 to 1.5001. Here's my data:
A 55.00 55.00 55.00
E 82.50 82.41 110.00
B 123.75 123.47 220.00
F# 185.63 185.00 440.00
C# 278.44 277.18 880.00
G# 417.66 415.30 1,760.00
D# 626.48 622.25 3,520.00
A# 939.73 932.33 7,040.00
F 1,409.59 1,396.91
C 2,114.38 2,093.00
G 3,171.58 3,135.96
D 4,757.37 4,698.63
A 7,136.05 7,040.00
Starting with A1 (55Hz) the first column of numbers is simply multiplied by 1.5 12 times through the circle of fifths to get to an alleged A8. The last column I simply multiplied 55Hz by 2 7 times to get to the A8 to see the discrepancy.
The middle column of numbers I used to tweak the ratio for perfect fifths. I had to use 1.498307 to get the A8s to match up.