20
Englis
h
Pitch ratio and cent values for the main pitches
Preset temperament cent list (for C Major/a minor)
Reference
The following temperaments are occasionally used.
Pitch
Pitch ratio
Cent value
Comments
Octave
2
1200.00
Pure 5
th
3/2
701.955
4
th
4/3
498.045
Major 3
rd
5/4
386.314
Minor 3
rd
6/5
315.641
Large Interval Whole Tone
9/8
203.910
Small Interval Whole Tone
10/9
182.404
Diatonic Scale Semi-tone
16/15
111.731
Difference between the 4
th
and major 3
rd
Chromatic Scale Semi-tone
25/24
70.672
Difference between the major 3
rd
and minor 3
rd
Meantone
193.157
Average between large and small interval whole tones
Syntonic-Comma (S.C.)
81/80
21.506
Difference between large and small interval whole tones
Pythagorean Comma (P.C.)
23.460
Difference between the pure 5
th
x12 and 7 octaves
Schisma
1.954
Difference between P.C. and S.C.
Equal Semi-tone
100.0
Display
Temperament
type
Individual cent value (cent)
C
D
b
D
E
b
E
F
F
#
G
A
b
A
B
b
B
Equal
Equal
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
Pure (Major) Pure Major
0.0
-29.3
3.9
15.6
-13.7
-2.0
-31.3
2.0
-27.4
-15.6
17.6
-11.7
pure (minor) Pure Minor
15.6
-13.7
-2.0
31.3
2.0
13.7
-15.6
17.6
-11.7
0.0
33.2
3.9
Temperament type
Individual cent value (cent)
C
D
b
D
E
b
E
F
F
#
G
A
b
A
B
b
B
Meatone Temperament
0.0
-24.0
-6.8
10.3
-13.7
3.4
-20.5
-3.4
-27.4
-10.3
6.8
-17.1
Pythagoras Temperament
0.0
13.7
3.9
-5.9
7.8
-2.0
11.7
2.0
15.6
5.9
-3.9
9.8
Werkmeister I 3rd Variant
0.0
-9.8
-7.8
-5.9
-9.8
-2.0
-11.7
-3.9
-7.8
-11.7
-3.9
-7.8
Kirnberger III
0.0
-9.8
-6.8
-5.9
-13.7
-2.0
-9.8
-3.4
-7.8
-10.3
-3.9
-11.7
Vallotti & Young
0.0
-9.8
-3.9
-5.9
-7.8
-2.0
-11.7
-2.0
-7.8
-5.9
-3.9
-9.8
5/2
12
2
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