Cent values for a few temperaments

The following are my notes from 20+ years ago when I wrote the initial version of my "Understanding Temperaments" web page. Unfortunately, I didn't keep good notes as to how I arrived at these numbers (in particular, which source I used). Much may have come from Barbour. So with all the applicable caveats...

For each tuning/temperament, the following gives, on two lines:

The value in cents for each note on the circle of fifths; for closed temperaments, the "unequality" is given at the end of that line.
The amount by which each fifth deviates from pure.

The following assumes values for the pythagorean (ditonic) and syntonic commas of 24 cents and 22 cents, respectively.

                C       G       D       A       E       B       F#      C#      G#      Eb      Bb      F      (C)

Equal         000.0   700.0   200.0   900.0   400.0  1100.0   600.0   100.0   800.0   300.0  1000.0   500.0
                   -2.0    -2.0    -2.0    -2.0    -2.0    -2.0    -2.0    -2.0    -2.0    -2.0    -2.0    -2.0

Pythagore     000.0   702.0   204.0   906.0   408.0  1110.0   612.0   114.0   816.0   294.0   996.0   498.0
                    0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   -24.0     0.0     0.0     0.0

Aaron         000.0   696.5   193.0   889.5   386.0  1082.5   579.0    75.5   772.0   310.5  1007.0   503.5
                   -5.5    -5.5    -5.5    -5.5    -5.5    -5.5    -5.5    -5.5   +36.5    -5.5    -5.5    -5.5

Silbermann    000.0   698.3   196.7   895.0   393.3  1091.7   590.0    88.3   786.7   305.0  1003.3   501.7
                   -3.7    -3.6    -3.7    -3.7    -3.6    -3.7    -3.7    -3.6   +16.3    -3.7    -3.6    -3.7

Salinas (-ve) 000.0   694.7   189.3   884.0   378.7  1073.3   568.0    62.7   757.3   316.0  1010.7   505.3
                   -7.3    -7.4    -7.3    -7.3    -7.4    -7.3    -7.3    -7.4   +56.7    -7.3    -7.4    -7.3

Kirnberger    000.0   696.5   193.0   889.5   386.0  1088.0   590.0    90.0   792.0   294.0   996.0   498.0       uneq=6.2
                   -5.5    -5.5    -5.5    -5.5     0.0     0.0    -2.0     0.0     0.0     0.0     0.0     0.0

Vallotti      000.0   698.0   196.0   894.0   392.0  1090.0   592.0    94.0   796.0   298.0  1000.0   502.0       uneq=5.3
                   -4.0    -4.0    -4.0    -4.0    -4.0     0.0     0.0     0.0     0.0     0.0     0.0    -4.0

Werkmeister   000.0   696.0   192.0   888.0   390.0  1092.0   588.0    90.0   792.0   294.0   996.0   498.0       uneq=5.3
                   -6.0    -6.0    -6.0     0.0     0.0    -6.0     0.0     0.0     0.0     0.0     0.0     0.0

Marpurg       000.0   702.0   204.0   906.0   400.0  1102.0   604.0   106.0   800.0   302.0  1004.0   506.0       uneq=0.0
                    0.0     0.0     0.0    -8.0     0.0     0.0     0.0    -8.0     0.0     0.0     0.0    -8.0

Mean semitone 000.0   696.5   193.0   889.5   386.0  1082.5   600.0    96.5   793.0   289.5   986.0   503.5       uneq=9.3
                   -5.5    -5.5    -5.5    -5.5    -5.5   +15.5    -5.5    -5.5    -5.5    -5.5   +15.5    -5.5

Grammateus    000.0   702.0   204.0   906.0   408.0  1110.0   600.0   102.0   804.0   306.0  1008.0   498.0       uneq=5.3
                    0.0     0.0     0.0     0.0     0.0   -12.0     0.0     0.0     0.0     0.0   -12.0     0.0

French        000.0   697.5   195.0   892.5   390.0  1087.5   587.0    87.0   789.0   294.0   998.5   502.5       uneq=8.0
                   -4.5    -4.5    -4.5    -4.5    -4.5    -2.5    -2.0     0.0    +3.0    +2.5    +2.0    -4.5

French (2)    000.0   696.5   193.0   889.5   386.0  1082.5   581.8    81.0   783.0   289.5   996.5   503.5       uneq=11.4
                   -5.5    -5.5    -5.5    -5.5    -5.5    -2.7    -2.8     0.0    +4.5    +5.0    +5.0    -5.5

Rameau        000.0   696.5   193.0   889.5   386.0  1082.5   584.5    86.5   788.5   298.0  1007.0   503.5       uneq=11.5
                   -5.5    -5.5    -5.5    -5.5    -5.5     0.0     0.0     0.0    +7.5    +7.0    -5.5    -5.5

Irr Fr 17e    000.0   697.0   194.0   891.0   388.0  1085.0   582.0    79.0   776.0   292.0   998.0   503.0       uneq=12.7
                   -5.0    -5.0    -5.0    -5.0    -5.0    -5.0    -5.0    -5.0   +14.0    +4.0    +3.0    -5.0

                C       G       D       A       E       B       F#      C#      G#      Eb      Bb      F      (C)

Notes:

"French (2)" corresponds to Lindsay's definition of the French "tempérament ordinaire". Similar but not the same as what I had.
Marpurg shows an unequality of zero as for equal temperament. All thirds in Marpurg are identical to equal-tempered thirds. Three out of every four fifths are pure, and one fifth takes all the tempering that, in equal temperament, is spread over four fifths.
The "French" temperaments (last four lines) show fifths tuned wide of pure. As a result, other fifths will have to be even narrower for the sum of the deviations around the circle to add up to -24 cents. A waste. "Mean semitone" also shows the same characteristic.
In "Silbermann" and "Salinas", .3 and .4 mean 1/3, and .6 and .7 mean 2/3.

If the table doesn't look right, paste it into your favorite editor or word processor, and change its font to Courier or other fixed-pitch font.

Thanks to John Wood for prompting and help in preparing this page (esp. for "French (2)" above).