Quelle:
RATTE, Seite 121 (Angabe genauer Cent-Zahlen) T 108
Pythagoreische Stimmung
(Quintkette eses - g)
Verteilung
des pK ≡ 23.46 cent Verteilung des pK im Quintenzirkel
f
------ c 3/2 . 3/2
b ------
f
. .
es ------ b 3/2 c - 1 pK
as
------ es f │ g
des ------ as .
│
.
ges ------ des b
│
eses
ces ------ ges 3/2
│
3/2
fes ------ ces . es───────┼──────bebe.
bebe ------
fes
│
eses ------
bebe 3/2 as
│ fes 3/2
g -
23.460 eses .
│
.
c ------
g
des │ ces
================== 3/2
ges 3/2
- 23.460 . .
.
3/2 3/2
|
Quinten |
|
Quarten |
|
Großterzen |
|
Kleinterzen |
|
|||||
f |
701.955 |
c |
498.045 |
f |
384.360 |
a |
317.595 |
c |
|||||
b |
701.955 |
f |
498.045 |
b |
384.360 |
d |
317.595 |
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 |
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 |
701.955 |
fis |
498.045 |
h |
407.820 |
es |
294.135 |
fis |
|||||
e |
701.955 |
h |
498.045 |
e |
407.820 |
gis |
294.135 |
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 |
678.495 |
d |
521.505 |
g |
384.360 |
h |
294.135 |
d |
|||||
c |
701.955 |
g |
498.045 |
c |
384.360 |
e |
317.595 |
g |
|||||
Intervall-bezeichnung |
Quotient |
Dezimal-zahl |
Centwert des Intervalls |
Frequenzbeispiele (Zahlen in Hz) |
|||||||||
|
|
|
|
|
|
|
|
||||||
Oktave |
2/1 |
2.0 |
1200.000 |
c |
528.6 |
>440.0< |
a |
||||||
gr.Septime |
4096/2187 |
1.8728852 |
1086.315 |
h |
495.0 |
412.0 |
gis |
||||||
kl.Septime |
16/9. |
1.7777778 |
996.090 |
b |
469.9 |
391.1 |
g |
||||||
gr.Sexte |
32768/19683 |
1.6647869 |
882.405 |
a |
>440.0< |
366.3 |
fis |
||||||
kl.Sexte |
128/81. |
1.5802469 |
792.180 |
gis |
417.7 |
347.6 |
f |
||||||
Quinte |
3/2 |
1.5 |
701.955 |
g |
396.4 |
330.0 |
e |
||||||
Tritonus |
1024/729. |
1.4046639 |
588.270 |
fis |
371.3 |
309.0 |
es |
||||||
Quarte |
4/3 |
1.3333333 |
498.045 |
f |
352.4 |
293.3 |
d |
||||||
gr.Terz |
8192/6561 |
1.2485902 |
384.360 |
e |
330.0 |
274.7 |
cis |
||||||
kl.Terz |
32/27 |
1.1851852 |
294.135 |
es |
313.2 |
260.7 |
c |
||||||
Ganzton |
65536/59049 |
1.1098579 |
180.450 |
d |
293.3 |
244.2 |
h |
||||||
Halbton |
256/243 |
1.0534979 |
90.225 |
cis |
278.4 |
231.8 |
b |
||||||
Grundton |
1/1 |
1.0 |
0.000 |
C |
264.3 |
220.0 |
a |
||||||