User Manual

20
English
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