Yamaha Harmony Director HD-200 Owner's Manual page 21

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
C D D E
0.0 0.0 0.0 0.0
0.0 –29.3 3.9 15.6 –13.7 –2.0 –31.3
15.6 –13.7 –2.0 31.3
C D D E
0.0 –24.0 –6.8 10.3 –13.7
0.0 13.7 3.9 –5.9
0.0 –9.8 –7.8 –5.9
0.0 –9.8 –6.8 –5.9 –13.7 –2.0
0.0 –9.8 –3.9 –5.9
Comments
th
and major 3
Individual cent value (cent)
#
E F F G
0.0 0.0 0.0 0.0
2.0
2.0 13.7 –15.6 17.6 –11.7
Individual cent value (cent)
#
E F F G
3.4 –20.5 –3.4 –27.4 –10.3
7.8 –2.0 11.7 2.0
–9.8 –2.0 –11.7 –3.9
–9.8 –3.4
–7.8 –2.0 –11.7 –2.0
rd
rd rd
and minor 3
th
x12 and 7 octaves
A A B B
0.0 0.0 0.0 0.0
–27.4 –15.6 17.6 –11.7
0.0 33.2 3.9
A A B B
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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