Quelle:
MEISTER, Seite 119 (Angabe ganzer Cent-Zahlen) T 68
Dreiteilung des
pythagoreischen Kommas
Verteilung
des pK º 23.46 cent Verteilung
des pK im Quintenzirkel
f
------ c 3/2 . -
1/3pK
b ------
f
. .
es ------ b 3/2 c - 1/3pK
gis ------
es
f │ g
cis ------ gis .
│
.
fis ------ cis b
│
d
h - 7.820
fis 3/2 │ 3/2
e ------
h . es───────┼────────a .
a ------
e
│
d ------
a 3/2 gis
│
e 3/2
g - 7.820
d . │ .
c - 7.820
g
cis │ h
================== 3/2 fis 3/2
- 23.460 . .
.
3/2 - 1/3pK
|
|
Quinten |
|
Quarten |
|
Großterzen |
|
Kleinterzen |
|
|||||
|
f |
701.955 |
c |
498.045 |
f |
392.180 |
a |
309.775 |
c |
|||||
|
b |
701.955 |
f |
498.045 |
b |
392.180 |
d |
309.775 |
f |
|||||
|
es |
701.955 |
b |
498.045 |
es |
400.000 |
g |
301.955 |
b |
|||||
|
gis |
701.955 |
es |
498.045 |
gis |
407.820 |
c |
294.135 |
es |
|||||
|
cis |
701.955 |
gis |
498.045 |
cis |
407.820 |
f |
294.135 |
gis |
|||||
|
fis |
701.955 |
cis |
498.045 |
fis |
407.820 |
b |
294.135 |
cis |
|||||
|
h |
694.135 |
fis |
505.865 |
h |
400.000 |
es |
294.135 |
fis |
|||||
|
e |
701.955 |
h |
498.045 |
e |
400.000 |
gis |
301.955 |
h |
|||||
|
a |
701.955 |
e |
498.045 |
a |
400.000 |
cis |
301.955 |
e |
|||||
|
d |
701.955 |
a |
498.045 |
d |
400.000 |
fis |
301.955 |
a |
|||||
|
g |
694.135 |
d |
505.865 |
g |
400.000 |
h |
294.135 |
d |
|||||
|
c |
694.135 |
g |
505.865 |
c |
392.180 |
e |
301.955 |
g |
|||||
|
Intervall-bezeichnung |
Quotient |
Dezimal-zahl |
Centwert des Intervalls |
Frequenzbeispiele (Zahlen in Hz) |
|||||||||
|
|
|
|
|
|
|
|
|
||||||
|
Oktave |
2/1 |
2.0 |
1200.000 |
c |
526.2 |
>440.0< |
A |
||||||
|
gr.Septime |
32x3Ö4/27 |
1.8813643 |
1094.135 |
h |
495.0 |
413.9 |
gis |
||||||
|
kl.Septime |
16/9 |
1.7777778 |
996.090 |
b |
467.7 |
391.1 |
G |
||||||
|
gr.Sexte |
256x3Ö4/243 |
1.6723238 |
890.225 |
a |
>440.0< |
367.9 |
fis |
||||||
|
kl.Sexte |
128/81 |
1.5802469 |
792.180 |
gis |
415.8 |
347.7 |
F |
||||||
|
Quinte |
32x3Ö2/27 |
1.4932398 |
694.135 |
g |
392.9 |
328.5 |
E |
||||||
|
Tritonus |
1024/729 |
1.4046639 |
588.270 |
fis |
369.6 |
309.0 |
es |
||||||
|
Quarte |
4/3 |
1.3333333 |
498.045 |
f |
350.8 |
293.3 |
D |
||||||
|
gr.Terz |
64x3Ö4/81 |
1.2542428 |
392.180 |
e |
330.0 |
275.9 |
cis |
||||||
|
kl.Terz |
32/27 |
1.1851852 |
294.135 |
es |
311.8 |
260.7 |
C |
||||||
|
Ganzton |
512x3Ö4/729 |
1.1114882 |
188.270 |
d |
292.4 |
244.5 |
H |
||||||
|
Halbton |
256/243 |
1.0534979 |
90.225 |
cis |
277.2 |
231.8 |
B |
||||||
|
Grundton |
1/1 |
1.0 |
0.000 |
C |
263.1 |
220.0 |
A |
||||||
Abweichungen der
Tonstufen bei Modulationen (Zahlen in Cent)
in der Tabelle zur Graphik „Profil“:
