Quelle:
MEISTER, Seite 112 (Angabe Quotienten "Halbtonschritte") T 57
Pythagoreisch -
rein
Verteilung
des pK ≡ 23.46 cent Verteilung des pK im Quintenzirkel
f
------ c 3/2 .
3/2
b ------
f
. .
dis - 1.955 b 3/2
c 3/2
gis ------ dis f
│ g
cis ------ gis .
│
.
fis ------ cis b
│
d
h ------ fis - Schisma │ - 1sK
e
------ h . dis──────┼────────a .
a
------ e │
d - 21.505
a 3/2 gis │ e 3/2
g ------
d . │ .
c ------
g
cis │ h
================== 3/2
fis 3/2
- 23.460 .
.
.
3/2 3/2
|
Quinten |
|
Quarten |
|
Großterzen |
|
Kleinterzen |
|
|||||
f |
701.955 |
c |
498.045 |
f |
386.315 |
a |
315.640 |
c |
|||||
b |
701.955 |
f |
498.045 |
b |
407.820 |
d |
294.135 |
f |
|||||
es |
700.000 |
b |
500.000 |
es |
405.865 |
g |
294.135 |
b |
|||||
gis |
701.955 |
es |
498.045 |
gis |
405.865 |
c |
296.090 |
es |
|||||
cis |
701.955 |
gis |
498.045 |
cis |
405.865 |
f |
296.090 |
gis |
|||||
fis |
701.955 |
cis |
498.045 |
fis |
405.865 |
b |
296.090 |
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 |
680.450 |
a |
680.450 |
d |
386.315 |
fis |
294.135 |
a |
|||||
g |
701.955 |
d |
498.045 |
g |
386.315 |
h |
315.640 |
d |
|||||
c |
701.955 |
g |
498.045 |
c |
386.315 |
e |
315.640 |
g |
|||||
Intervall-bezeichnung |
Quotient |
Dezimal-zahl |
Centwert des Intervalls |
Frequenzbeispiele (Zahlen in Hz) |
|||||||||
|
|
|
|
|
|
|
|
||||||
Oktave |
2/1 |
2.0 |
1200.000 |
c |
528.0 |
>440.0< |
a |
||||||
gr.Septime |
15/8. |
1.875 |
1088.270 |
h |
495.0 |
412.5 |
gis |
||||||
kl.Septime |
16/9. |
1.7777778 |
996.090 |
b |
469.3 |
391.1 |
g |
||||||
gr.Sexte |
5/3 |
1.6666667 |
884.360 |
a |
>440.0< |
366.7 |
fis |
||||||
kl.Sexte |
405/256 |
1.5820313 |
794.135 |
gis |
417.7 |
348.0 |
f |
||||||
Quinte |
3/2 |
1.5 |
701.955 |
g |
396.0 |
352.0 |
e |
||||||
Tritonus |
45/32 |
1.40625 |
590.225 |
fis |
371.3 |
309.4 |
es |
||||||
Quarte |
4/3 |
1.3333333 |
498.045 |
f |
352.0 |
293.3 |
d |
||||||
gr.Terz |
5/4 |
1.25 |
386.315 |
e |
352.0 |
275.0 |
cis |
||||||
kl.Terz |
1215/1024 |
1.1865234 |
296.090 |
es |
313.2 |
261.0 |
c |
||||||
Ganzton |
9/8 |
1.125 |
203.910 |
d |
297.0 |
247.5 |
h |
||||||
Halbton |
135/128 |
1.0546879 |
92.180 |
cis |
278.4 |
232.0 |
b |
||||||
Grundton |
1/1 |
1.0 |
0.000 |
C |
264.0 |
220.0 |
a |
||||||