Quelle:
MEISTER, Seite 120 (Angabe ganzer Cent-Zahlen) T 69
Vierteilung des
pythagoreischen Kommas
Verteilung
des pK º 23.46 cent Verteilung
des pK im Quintenzirkel
f
------ c 3/2 . -
1/4pK
b ------
f
. .
es ------ b 3/2 c - 1/4pK
gis - 5.865
es
f │ g
cis ------ gis .
│
.
fis ------ cis b
│
d
h ------
fis 3/2 │ 3/2
e - 5.865
h . es───────┼────────a .
a ------
e
│
d ------
a - 1/4pK gis
│
e 3/2
g - 5.865
d . │ .
c - 5.865
g
cis │ h
================== 3/2 fis - 1/4pK
- 23.460 . .
.
3/2 3/2
|
|
Quinten |
|
Quarten |
|
Großterzen |
|
Kleinterzen |
|
|||||
|
f |
701.955 |
C |
498.045 |
f |
396.090 |
a |
305.865 |
c |
|||||
|
b |
701.955 |
F |
498.045 |
b |
396.090 |
d |
305.865 |
f |
|||||
|
es |
701.955 |
B |
498.045 |
es |
401.955 |
g |
300.000 |
b |
|||||
|
gis |
696.090 |
es |
503.910 |
gis |
401.955 |
c |
294.135 |
es |
|||||
|
cis |
701.955 |
gis |
498.045 |
cis |
401.955 |
f |
300.000 |
gis |
|||||
|
fis |
701.955 |
cis |
498.045 |
fis |
401.955 |
b |
300.000 |
cis |
|||||
|
h |
701.955 |
fis |
498.045 |
h |
401.955 |
es |
300.000 |
fis |
|||||
|
e |
696.090 |
H |
503.910 |
e |
401.955 |
gis |
294.135 |
h |
|||||
|
a |
701.955 |
E |
498.045 |
a |
401.955 |
cis |
300.000 |
e |
|||||
|
d |
701.955 |
A |
498.045 |
d |
401.955 |
fis |
300.000 |
a |
|||||
|
g |
696.090 |
D |
503.910 |
g |
396.090 |
h |
300.000 |
d |
|||||
|
c |
696.090 |
G |
503.910 |
c |
396.090 |
e |
300.000 |
g |
|||||
|
Intervall-bezeichnung |
Quotient |
Dezimal-zahl |
Centwert des Intervalls |
Frequenzbeispiele (Zahlen in Hz) |
|||||||||
|
|
|
|
|
|
|
|
|
||||||
|
Oktave |
2/1 |
2.0 |
1200.000 |
c |
525.0 |
>440.0< |
a |
||||||
|
gr.Septime |
128x4Ö2/81 |
1.8792409 |
1092.180 |
h |
493.3 |
413.4 |
gis |
||||||
|
kl.Septime |
16/9 |
1.7777778 |
996.090 |
b |
466.7 |
391.1 |
g |
||||||
|
gr.Sexte |
32xÖ2/27 |
1.6761049 |
894.135 |
a |
>440.0< |
368.7 |
fis |
||||||
|
kl.Sexte |
4x4Ö2/3 |
1.5856095 |
798.045 |
gis |
416.2 |
348.8 |
f |
||||||
|
Quinte |
8x4Ö8/9 |
1.4949277 |
696.090 |
g |
392.4 |
328.9 |
e |
||||||
|
Tritonus |
32x4Ö2/27 |
1.4094307 |
594.135 |
fis |
370.0 |
310.1 |
es |
||||||
|
Quarte |
4/3 |
1.3333333 |
498.045 |
f |
350.0 |
293.3 |
d |
||||||
|
gr.Terz |
8xÖ2/9 |
1.2570787 |
396.090 |
e |
330.0 |
276.6 |
cis |
||||||
|
kl.Terz |
32/27 |
1.1851851 |
294.135 |
es |
311.1 |
260.7 |
c |
||||||
|
Ganzton |
64xÖ2/81 |
1.1174033 |
192.180 |
d |
293.3 |
245.8 |
h |
||||||
|
Halbton |
8x4Ö2/9 |
1.0570728 |
96.090 |
cis |
277.5 |
232.6 |
b |
||||||
|
Grundton |
1/1 |
1.0 |
0.000 |
C |
262.5 |
220.0 |
a |
||||||
Abweichungen der
Tonstufen bei Modulationen (Zahlen in Cent)
in der Tabelle zur Graphik „Profil“:
