Yamaha Harmony Director HD-200 Mode D'emploi page 25

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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
20

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