Quelle:
RATTE, Seite 104 (Angabe genauer Cent-Zahlen) T 103
Pythagoreische Stimmung
(Quintkette as - cis)
Verteilung
des pK ≡ 23.46 cent Verteilung des pK im Quintenzirkel
f
------ c 3/2 . 3/2
b ------
f
. .
es ------ b 3/2 c 3/2
as
------ es f │ g
cis - 23.460
as . │ .
fis ------ cis b
│
d
h ------
fis 3/2 │ 3/2
e ------
h . es───────┼────────a .
a ------
e
│
d ------
a 3/2 as
│
e 3/2
g ------
d . │ .
c ------
g
cis │ h
================== - 1 pK
fis 3/2
- 23.460 . .
.
3/2 3/2
|
Quinten |
|
Quarten |
|
Großterzen |
|
Kleinterzen |
|
|||||
f |
701.955 |
c |
498.045 |
f |
407.820 |
a |
294.135 |
c |
|||||
b |
701.955 |
f |
498.045 |
b |
407.820 |
d |
294.135 |
f |
|||||
es |
701.955 |
b |
498.045 |
es |
407.820 |
g |
294.135 |
b |
|||||
gis |
701.955 |
es |
498.045 |
gis |
407.820 |
c |
294.135 |
es |
|||||
cis |
678.495 |
gis |
521.505 |
cis |
384.360 |
f |
294.135 |
gis |
|||||
fis |
701.955 |
cis |
498.045 |
fis |
384.360 |
b |
317.595 |
cis |
|||||
h |
701.955 |
fis |
498.045 |
h |
384.360 |
es |
317.595 |
fis |
|||||
e |
701.955 |
h |
498.045 |
e |
384.360 |
gis |
317.595 |
h |
|||||
a |
701.955 |
e |
498.045 |
a |
407.820 |
cis |
294.135 |
e |
|||||
d |
701.955 |
a |
498.045 |
d |
407.820 |
fis |
294.135 |
a |
|||||
g |
701.955 |
d |
498.045 |
g |
407.820 |
h |
294.135 |
d |
|||||
c |
701.955 |
g |
498.045 |
c |
407.820 |
e |
294.135 |
g |
|||||
Intervall-bezeichnung |
Quotient |
Dezimal-zahl |
Centwert des Intervalls |
Frequenzbeispiele (Zahlen in Hz) |
|||||||||
|
|
|
|
|
|
|
|
||||||
Oktave |
2/1 |
2.0 |
1200.000 |
c |
521.4 |
>440.0< |
a |
||||||
gr.Septime |
243/128 |
1.8984375 |
1109.775 |
h |
495.0 |
417.7 |
gis |
||||||
kl.Septime |
16/9. |
1.7777778 |
996.090 |
b |
463.5 |
391.1 |
g |
||||||
gr.Sexte |
27/16 |
1.6875 |
905.865 |
a |
>440.0< |
371.3 |
fis |
||||||
kl.Sexte |
128/81. |
1.5802469 |
792.180 |
gis |
412.0 |
347.7 |
f |
||||||
Quinte |
3/2 |
1.5 |
701.955 |
g |
391.1 |
330.0 |
e |
||||||
Tritonus |
729/512 |
1.4238281 |
611.730 |
fis |
371.2 |
313.2 |
es |
||||||
Quarte |
4/3 |
1.3333333 |
498.045 |
f |
347.6 |
293.3 |
d |
||||||
gr.Terz |
81/64 |
1.265625 |
407.820 |
e |
329.9 |
278.4 |
cis |
||||||
kl.Terz |
32/27 |
1.1851852 |
294.135 |
es |
309.0 |
260.7 |
c |
||||||
Ganzton |
9/8 |
1.125 |
203.910 |
d |
293.3 |
247.5 |
h |
||||||
Halbton |
2187/2048 |
1.0678711 |
113.685 |
cis |
278.4 |
243.5 |
b |
||||||