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what exactly is music theory?

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"
 
theory is very useful for a bass player in particular because you'll likely spend a lot of your musical life attempting to play complementary figures to other people's idea of what music is :)

so you generally need to be able to have a framework that enables you to make sense of what people are giving you... it's not like being a guitarist, where your communication with other musicians consists of saying "it goes like this...." *NYAANNNGG*.... *BRANNNNNGGGG*

:D
 
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"

Not sure if that'll help me play music, though... :)