Beat Rate ChartsThe following charts give the beat rates for a number of temperaments. The 1/3rd and 1/4 comma charts are more for interest only than practical keyboard application, with the exception of some suitable harpsichords, or virginals. The beat rates are calculated on A=440Hz, are in beats (cycles) per second, and setting the bearings on the octave beginning with middle C. | |||
INTERVALS | 5THS(c.p.s.) | INTERVALS | MAJ. 3RDS |
---|---|---|---|
C-G | -1.78 | C-E | +4.46 |
G-D | -2.66 | G-B | +6.67 |
D-A | -1.99 | D-F# | +4.99 |
A-E | -2.98 | A-C# | +12.46 |
E-B | -2.23 | E-G# | +13.07 |
B-F# | -3.33 | B-Eb | +25.17 |
F#-C# | 0 | F#-Bb | +23.05 |
C#-Ab | 0 | C#-F | +17.28 |
Ab-Eb | 0 | Ab-C | +25.93 |
Eb-Bb | 0 | Eb-G | +15.89 |
Bb-F | 0 | Bb-D | +18.52 |
F-C | 0 | F-A | +9.91 |
INTERVALS | 5THS(c.p.s.) | INTERVALS | MAJ. 3RDS |
---|---|---|---|
C-G | -1.78 | C-E | +4.46 |
G-D | -2.66 | G-B | +8.9 |
D-A | -1.98 | D-F# | +8.31 |
A-E | -3 | A-C# | +17.46 |
E-B | -1.11 | E-G# | +16.82 |
B-F# | -1.67 | B-Eb | +28.01 |
F#-C# | 0 | F#-Bb | +23.10 |
C#-Ab | 0 | C#-F | +15.74 |
Ab-Eb | 0 | Ab-C | +21.24 |
Eb-Bb | 0 | Eb-G | +12.37 |
Bb-F | 1.58 | Bb-D | +13.27 |
F-C | 1.19 | F-A | +7.93 |
INTERVALS | 5THS(c.p.s.) | INTERVALS | MAJ. 3RDS |
---|---|---|---|
C-G | -2 | C-E | +2.97 |
G-D | -2.99 | G-B | +7.23 |
D-A | -2.24 | D-F# | +8.33 |
A-E | -3.35 | A-C# | +18.08 |
E-B | -1.11 | E-G# | +17.75 |
B-F# | -0.83 | B-Eb | +30.03 |
F#-C# | 0 | F#-Bb | +23.10 |
C#-Ab | 0 | C#-F | +16.54 |
Ab-Eb | 0 | Ab-C | +22.43 |
Eb-Bb | 0 | Eb-G | +12.82 |
Bb-F | -0.79 | Bb-D | +13.25 |
F-C | -1.19 | F-A | +6.45 |
INTERVALS | 5THS(c.p.s.) | INTERVALS | MAJ. 3RDS |
---|---|---|---|
C-G | -2.45 | C-E | 0 |
G-D | -3.66 | G-B | 0 |
D-A | -2.74 | D-F# | +4.58 |
A-E | -4.09 | A-C# | +13.71 |
E-B | -3.06 | E-G# | +15.4 |
B-F# | 0 | B-Eb | +38.49 |
F#-C# | 0 | F#-Bb | +36.64 |
C#-Ab | 0 | C#-F | +24.42 |
Ab-Eb | +3.87 | Ab-C | +30.09 |
Eb-Bb | +3.89 | Eb-G | +12.84 |
Bb-F | -3.05 | Bb-D | +2.22 |
F-C | -3.27 | F-A | 0 |
INTERVALS | 5THS(c.p.s.) | INTERVALS | MAJ. 3RDS |
---|---|---|---|
C-G | -2.22 | C-E | +1.49 |
G-D | -3.33 | G-B | +7.79 |
D-A | -2.49 | D-F# | +8.33 |
A-E | -3.72 | A-C# | +18.69 |
E-B | 0 | E-G# | +18.67 |
B-F# | -1.67 | B-Eb | +28.03 |
F#-C# | 0 | F#-Bb | +23.11 |
C#-Ab | 0 | C#-F | +15.75 |
Ab-Eb | 0 | Ab-C | +23.62 |
Eb-Bb | 0 | Eb-G | +13.27 |
Bb-F | -1.58 | Bb-D | +13.25 |
F-C | 0 | F-A | +6.94 |
INTERVALS | 5THS(c.p.s.) | INTERVALS | MAJ. 3RDS |
---|---|---|---|
C-G | -2.45 | C-E | 0 |
G-D | -3.66 | G-B | 0 |
D-A | -2.74 | D-F# | 0 |
A-E | -4.09 | A-C# | 0 |
E-B | -3.06 | E-G# | 0 |
B-F# | -4.58 | B-Eb | +59.03 |
F#-C# | -3.42 | F#-Bb | +44.14 |
C#-Ab | -2.56 | C#-F | +33 |
Ab-Eb | +25.69 | Ab-C | +49.35 |
Eb-Bb | -2.93 | Eb-G | 0 |
Bb-F | -4.38 | Bb-D | 0 |
F-C | -3.27 | F-A | 0 |
INTERVALS | 5THS(c.p.s.) | INTERVALS | MAJ. 3RDS |
---|---|---|---|
C-G | -3.27 | C-E | -5.45 |
G-D | -4.89 | G-B | 8.15 |
D-A | -3.65 | D-F# | -6.09 |
A-E | -5.45 | A-C# | -9.09 |
E-B | -4.07 | E-G# | -6.79 |
B-F# | -6.09 | B-Eb | +79.81 |
F#-C# | -4.55 | F#-Bb | +59.61 |
C#-Ab | -3.4 | C#-F | +44.52 |
Ab-Eb | +39.91 | Ab-C | +66.51 |
Eb-Bb | -3.93 | Eb-G | -6.55 |
Bb-F | -5.87 | Bb-D | -9.78 |
F-C | -4.38 | F-A | -7.3 |
INTERVALS | 5THS(c.p.s.) | INTERVALS | MAJ. 3RDS |
---|---|---|---|
C-G | -1.33 | C-E | +7.44 |
G-D | -1.99 | G-B | +11.13 |
D-A | -1.47 | D-F# | +8.33 |
A-E | -2.23 | A-C# | +12.43 |
E-B | -1.67 | E-G# | +9.31 |
B-F# | -2.51 | B-Eb | +18.15 |
F#-C# | -1.88 | F#-Bb | +16.74 |
C#-Ab | -2.8 | C#-F | +14.87 |
Ab-Eb | 0 | Ab-C | +25.88 |
Eb-Bb | 0 | Eb-G | +16.74 |
Bb-F | 0 | Bb-D | +21.13 |
F-C | 0 | F-A | +12.89 |
INTERVALS | 5THS(c.p.s.) | INTERVALS | MAJ. 3RDS |
---|---|---|---|
C-G | -2.67 | C-E | +2.98 |
G-D | -3.99 | G-B | +11.15 |
D-A | -2.99 | D-F# | +8.33 |
A-E | 0 | A-C# | +19.97 |
E-B | 0 | E-G# | +14.97 |
B-F# | -5 | B-Eb | +22.46 |
F#-C# | 0 | F#-Bb | +23.1 |
C#-Ab | 0 | C#-F | +17.34 |
Ab-Eb | 0 | Ab-C | +26.01 |
Eb-Bb | 0 | Eb-G | +14.17 |
Bb-F | 0 | Bb-D | +13.26 |
F-C | 0 | F-A | +3.97 |
INTERVALS | 5THS(c.p.s.) | INTERVALS | MAJ. 3RDS |
---|---|---|---|
C-G | -2.45 | C-E | 0 |
G-D | -3.66 | G-B | +0.80 |
D-A | -2.74 | D-F# | +1.19 |
A-E | -4.09 | A-C# | +2.69 |
E-B | -2.66 | E-G# | +2.68 |
B-F# | -3.98 | B-Eb | +16.65 |
F#-C# | -2.98 | F#-Bb | +21.96 |
C#-Ab | -2.23 | C#-F | +23.57 |
Ab-Eb | +2.99 | Ab-C | +46.0 |
Eb-Bb | +2.25 | Eb-G | +25.87 |
Bb-F | +3.38 | Bb-D | +25.86 |
F-C | +2.54 | F-A | +9.69 |