Quelle:
MEISTER, Seite 127 ((Angabe ganzer Cent-Zahlen) T 79
Johann Philipp Kirnberger
(Nr.3), 1779
Verteilung
des pK º 23.46 cent Verteilung
des pK im Quintenzirkel
f
------- c 3/2 . -
1/6pK
b -------
f
. .
es ------- b 3/2 c - 5/24pK
gis -------
es
f │ g
cis ------- gis .
│
.
fis - 1.9550 cis b
│
d
h -------
fis 3/2 │ - 7/24pK
e -------
h . es───────┼────────a .
a - 5.8650
e
│
d - 6.8425
a 3/2 gis
│
e - 1/4pK
g - 4.8875
d . │ .
c - 3.9100
g
cis │ h
================== 3/2 fis 3/2
- 23.4600 . .
.
-
1/12pK 3/2
|
|
Quinten |
|
Quarten |
|
Großterzen |
|
Kleinterzen |
|
|||||
|
f |
701.9550 |
c |
498.0450 |
f |
392.1800 |
a |
309.7750 |
c |
|||||
|
b |
701.9550 |
f |
498.0450 |
b |
399.0225 |
d |
302.9325 |
f |
|||||
|
es |
701.9550 |
b |
498.0450 |
es |
403.9100 |
g |
298.0450 |
b |
|||||
|
gis |
701.9550 |
es |
498.0450 |
gis |
407.8200 |
c |
294.1350 |
es |
|||||
|
cis |
701.9550 |
gis |
498.0450 |
cis |
407.8200 |
f |
294.1350 |
gis |
|||||
|
fis |
700.0000 |
cis |
500.0000 |
fis |
405.8650 |
b |
294.1350 |
cis |
|||||
|
h |
701.9550 |
fis |
498.0450 |
h |
405.8650 |
es |
296.0900 |
fis |
|||||
|
e |
701.9550 |
h |
498.0450 |
e |
406.0450 |
gis |
296.0900 |
h |
|||||
|
a |
696.0900 |
e |
503.9100 |
a |
400.0000 |
cis |
295.9100 |
e |
|||||
|
d |
695.1125 |
a |
504.8875 |
d |
395.1125 |
fis |
300.0000 |
a |
|||||
|
g |
697.0075 |
d |
502.1325 |
g |
390.2250 |
h |
306.8425 |
d |
|||||
|
c |
698.0450 |
g |
501.9550 |
c |
386.1350 |
e |
311.9100 |
g |
|||||
|
Intervall-bezeichnung |
Quotient |
Dezimal-zahl |
Centwert des Intervalls |
Frequenzbeispiele (Zahlen in Hz) |
|||||||||
|
|
|
|
|
|
|
|
|
||||||
|
Oktave |
2/1 |
2.0 |
1200.0000 |
c |
526.2 |
>440.0< |
a |
||||||
|
gr.Septime |
210x12Ö32/729 |
1.8750010 |
1088.2700 |
h |
493.3 |
412.5 |
gis |
||||||
|
kl.Septime |
16/9 |
1.7777778 |
996.0900║ |
b |
467.7 |
391.1 |
g |
||||||
|
gr.Sexte |
256x3Ö4/243 |
1.6723237 |
890.2250 |
a |
>440.0< |
367.9 |
fis |
||||||
|
kl.Sexte |
128/81 |
1.5802469 |
792.1800 |
gis |
415.8 |
347.7 |
f |
||||||
|
Quinte |
4x6Ö2/3 |
1.4966161 |
698.0450 |
g |
393.8 |
329.3 |
e |
||||||
|
Tritonus |
256x12Ö32/243 |
1.4062511 |
590.2250 |
fis |
370.0 |
309.4 |
es |
||||||
|
Quarte |
4/3 |
1.3333333 |
498.1350 |
f |
350.8 |
293.3 |
d |
||||||
|
gr.Terz |
211x12Ö32/2187 |
1.2500009 |
386.1350 |
e |
328.9 |
275.0 |
cis |
||||||
|
kl.Terz |
32/27 |
1.1851852 |
294.1350 |
es |
311.8 |
260.7 |
c |
||||||
|
Ganzton |
16x8Ö2/9xÖ3 |
1.1192977 |
195.1125 |
d |
294.5 |
246.2 |
h |
||||||
|
Halbton |
256/243 |
1.0534979 |
90.2250 |
cis |
277.2 |
231.8 |
b |
||||||
|
Grundton |
1/1 |
1.0 |
0.0000 |
C |
263.1 |
220.0 |
a |
||||||
Abweichungen der
Tonstufen bei Modulationen (Zahlen in Cent)
in der Tabelle zur Graphik „Profil“:
