Non Mean Tone Or Well Tempered Tunings

The following tables give examples of temperaments which do not belong to the mean tone, modified mean tone or the well tempered categories. The first column gives the circle of 5ths, beginning on C, and with A=440 c.p.s.(A+0) as the basis. The 2nd column gives the tempering- the degree of flattening or sharpening- to the 5ths. The column shows the tempering in cents, and in fractions of a Pythagorean(P) or Syntonic(S) comma. The 3rd column gives the chromatic scale, the 4th column shows intervals of the chromatic scale in cents, and the final column gives the errors in cents compared with Just Intonation.

Just Intonation

CIRCLE
OF FIFTHS
TEMPERING CHROMATIC
SCALE
INTERVALS
IN CENTS
ERRORS
COMP WITH
JUST SCALE
C+16 0 C 0 0
G+18 0
0
C# 112 0
D+20 0
0
D 204 0
A+0 -22
-1S
Eb 316 0
E+2 0
0
E 386 0
B+4 0
0
F 498 0
F#+6 0
0
F# 590 0
C#+28 +20
+10/12P
G 702 0
G#+30 0
0
Ab 814 0
Eb+32 0
0
A 884 0
Bb+12 -22
-1S
Bb 996 0
F+14 0
0
B 1088 0
C+16 0
0
c 1200 0


Equal Temperament

CIRCLE
OF FIFTHS
TEMPERING CHROMATIC
SCALE
INTERVALS
IN CENTS
ERRORS
COMP WITH
JUST SCALE
C+0 0 C 0 0
G+0 -2
-1/12P
C# 100 -12
D+0 -2
-1/12P
D 200 -4
A+0 -2
-1/12P
Eb 300 -16
E-0 -2
-1/12P
E 400 +14
B+0 -2
-1/12P
F 500 +2
F#+0 -2
-1/12P
F# 600 +10
C#+0 -2
-1/12P
G 700 -2
G#+0 -2
-1/12P
Ab 800 -14
Eb+0 -2
-1/12P
A 900 +16
Bb+0 -2
-1/12P
Bb 1000 +4
F+0 -2
-1/12P
B 1100 +12
c+0 -2
-1/12P
c 1200 0


Pythagorean(Arnout Van Zwolle 15c.)

CIRCLE
OF FIFTHS
TEMPERING CHROMATIC
SCALE
INTERVALS
IN CENTS
ERRORS
COMP WITH
JUST SCALE
C-6 0 C 0 0
G-4 0
0
C# 90 -22
D-2 0
0
D 204 0
A+0 0
0
Eb 294 -22
E+2 0
0
E 408 +22
B+4 0
0
F 498 0
F#-18 -24
-1P
F# 588 -2
C#-16 0
0
G 702 0
Ab-14 0
0
Ab 792 -22
Eb-12 0
0
A 906 +22
Bb-10 0
0
Bb 996 0
F-8 0
0
B 1110 +22
c-6 0
0
c 1200 0