Yamaha Harmony Director HD-200 Owner's Manual page 25

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