Brad Maloney wrote:
>
> Hi,
> My Name is Brad Maloney and I have been lurking for quite a while on this
> list. At any rate for a diversion and excercise I am playing around
> with coding a QBasic-like program from scratch, but I am hung up on
> the fomula that "figures" half step increments in MgHz.. I have
> so far created several scales & temperments but none that are
> "Well Tempered"
> Even if you don't have the formula if you could forward a table
> of A 440 chromaticaly through a 880 it would be a great help. with
> those figures I can find the formula..
> Thanks in advance, Brad Maloney [EMAIL PROTECTED]
I posted this table at abcusers a year or so ago:
Pythagorean Equal
c 260.74 261.6
cb 278.43 277.2
d# 274.69 277.2
d 293.33 293.7
db 313.24 311.1
e# 309.03 311.1
e 330 329.6
f 347.65 349.2
fb 371.25 370
g# 366.25 370
g 391.11 392
gb 417.66 415.3
a# 412.03 415.3
a 440 440
ab 469.86 466.2
b# 463.54 466.2
b 495 493.9
Just multiply the numbers with 2 to get the next octave.
Lots of people have already posted descriptions of the formula for equal
temperement, so I suppose I don't have to do that.
For the pythagorean temperement you multiply with 2187/2048 to go up an
augmented prime and 256/243 for a minor second.
These two temperements have two things in common, they are simple to
define mathematically and they are pretty useless musically.
Frank Nordberg
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