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Kiwi Kid said:Western music is based on the Twelve-Tone Equal Temerament (12-TET). This is a schema by which an Octave is divided into series of equal frequency ratios. The calculation for the below values is a bit complex, so I havn't gone into much detail about that.
12-TET Decimal Values
--------------------------------
Unison - 1
Minor second - 1.059463
Major second - 1.122462
Minor third - 1.189207
Major third - 1.259921
Perfect fourth - 1.334840
Diminished - 1.414214
Perfect fifth - 1.498307
Minor sixth - 1.587401
Major sixth - 1.681793
Minor seventh - 1.781797
Major seventh - 1.887749
Octave - 2.000000
Examples:
(Open A)55hz * 1.498307 = (D) 82.04hz
440hz * 2.0 = 880hz
Bass guitar open string frequencies
-----------------------------------
B = 31hz
E = 41hz
A = 55hz
D = 73hz
G = 98hz
C = 131hz
There is also another shema called Just Intonation Tuning, which is not as flexible as 12-TET.
(0) 1:1 - unison
(1) 135:128 - major chroma
(2) 9:8 - major second
(3) 6:5 - minor third
(4) 5:4 - major third
(5) 4:3 - perfect fourth
(6) 45:32 - diatonic tritone
(7) 3:2 - perfect fifth
(8) 8:5 - minor sixth
(9) 27:16 - major sixth
(10) 9:5 - minor seventh
(11) 15:8 - major seventh
(12) 2:1 - octave
Example:
55hz * (3/2) = 82.5Hz
If you want to know more, Google "Twelve-Tone Equal Temerament"
Sorry about that. Got a bit carried away. Another interesting fact, musicians in Ancient Greek times, had to be mathematicians as well.geoffkhan said:Not sure if that'll help me play music, though...![]()