From nobrand@teleport.comFri Feb  3 10:24:06 1995
Date: Thu, 2 Feb 1995 16:15:23 -0800
From: Brian Coates <nobrand@teleport.com>
To: analogue@magnus.acs.ohio-state.edu
Subject: Scales

        Here's the list of ratios and frequencies for Equal temperment and
Just tunings,  It isn't as complete as I had thought, this was a chart for
illustration purposes for school, and some notes were omitted, but these
missing notes are easy to get with a calculator(if you need one, like me:).
Dividing with the ratios for the note you want, or multiplying by 2 for
the notes given in other octaves.
        Since I used *tabs* instead of space,space,space,space, this may
look strange in some mail readers.
        There is a book full of ratios and frequencies for all different
scales, even strange scales you'd only use once just to say you did.  I saw
it once years ago, and haven't found it since.  Not that I have a whole lot
of use for all of them, but an interesting thing to have on hand.  If
anyone knows titles or publishers of any such books, let me know.

       Equal temperment

Note            Ratio           Frequency
----------------------------------

A0                      0.0625          027.500
A1                      0.1250          055.000
A2                      0.2500          110.000
A3                      0.5000          220.000
A#3                     0.5297          233.068
B3                      0.5612          246.928
C4                      0.5946          261.624
C#4                     0.6300          277.200
D4                      0.6674          293.656
D#4                     0.7071          311.124
E4                      0.7492          329.648
F4                      0.7937          349.228
F#4                     0.8410          370.040
G4                      0.8910          392.040
G#4                     0.9439          415.316
A4                      1.0000          440.000
A#4                     1.0594          466.136
B4                      1.1224          493.856
C5                      1.1892          523.248
C#5                     1.2600          554.400
D5                      1.3348          587.312
D#5                     1.4142          622.248
E5                      1.4984          659.296
F5                      1.5874          698.456
F#5                     1.6820          740.080
G5                      1.7820          784.080
G#5                     1.8878          830.632
A5                      2.0000          880.000
A6                      4.0000          1760.00
A7                      8.0000          3520.00



A Major just

Note            Ratio           Frequency
----------------------------------

A0      1/16    0.0625          027.500
A1      1/8             0.1250          055.000
A2      1/4             0.2500          110.000
A3      1/2             0.5000          220.000
B3      9/16    0.5625          247.500
C#4     5/8             0.6250          275.000
D4      4/6             0.6667          293.333
E4      3/4             0.7500          330.000
F#4     5/6             0.8333          366.667
G#4     15/16   0.9375          412.500
A4      1               1.0000          440.000
B4      9/8             1.1250          495.000
C#5     5/4             1.2500          550.000
D5      4/3             1.3333          586.667
E5      3/2             1.5000          660.000
F#5     5/3             1.6667          733.333
G#5     15/8    1.8750          825.000
A5      2               2.0000          880.000
A6      4               4.0000          1760.00
A7      8               8.0000          3520.00

----------------------------------------------------------------------------
Searching through manuals for silly instructions.


