Quelle:
RATTE, Seite 423 (Angabe gerundete Cent-Zahlen) T 56
Ignaz Bruder, 1829 -
systematisiert
Verteilung
des pK º 23.46 cent Verteilung
des pK im Quintenzirkel
f
- 0.97750 c - 1/24pK . -
1/48pK
b - 0.97750
f
. .
es
- 0.97750 b - 1/24pK c - 1/48pK
gis - 0.97750
es
f │ g
cis -
0.97750 gis .
│
.
fis -
0.48875 cis b
│
d
h - 0.48875
fis - 1/24pK │ - 1/3pK
e - 0.97750
h . es───────┼────────a
.
a - 7.82000
e
│
d - 7.82000
a - 1/24pK gis
│
e - 1/3pK
g - 0.48875
d . │ .
c - 0.48875
g
cis │ h
================== - 1/24pK
fis - 1/24pK
-
23.46000
. .
.
- 1/48pK - 1/48pK
|
|
Quinten |
|
Quarten |
|
Großterzen |
|
Kleinterzen |
|
|||||
|
f |
700.97750 |
c |
499.02250 |
f |
398.04500 |
a |
302.93250 |
c |
|||||
|
b |
700.97750 |
f |
499.02250 |
b |
404.88750 |
d |
296.09000 |
f |
|||||
|
dis |
700.97750 |
b |
499.02250 |
dis |
404.39875 |
g |
296.57875 |
b |
|||||
|
gis |
700.97750 |
dis |
499.02250 |
gis |
403.91000 |
c |
297.06750 |
dis |
|||||
|
cis |
700.97750 |
gis |
499.02250 |
cis |
403.91000 |
f |
297.06750 |
gis |
|||||
|
fis |
701.46625 |
cis |
498.53375 |
fis |
404.39875 |
b |
297.06750 |
cis |
|||||
|
h |
701.46625 |
fis |
498.53375 |
h |
404.88750 |
dis |
296.57875 |
fis |
|||||
|
e |
700.97750 |
h |
499.02250 |
e |
404.88750 |
gis |
296.09000 |
h |
|||||
|
a |
694.13500 |
e |
505.86500 |
a |
398.04500 |
cis |
296.09000 |
e |
|||||
|
d |
694.13500 |
a |
505.86500 |
d |
390.71375 |
fis |
303.42125 |
a |
|||||
|
g |
701.46625 |
d |
498.53375 |
g |
390.71375 |
h |
310.75250 |
d |
|||||
|
c |
701.46625 |
g |
498.53375 |
c |
391.20250 |
e |
310.26375 |
g |
|||||
|
Intervall-bezeichnung |
Quotient |
Dezimal-zahl |
Centwert des Intervalls |
Frequenzbeispiele (Zahlen in Hz) |
|||||||||
|
|
|
|
|
|
|
|
|
||||||
|
Oktave |
2/1 |
2.0 |
1200.00000 |
c |
524.2 |
>440.0< |
a |
||||||
|
gr.Septime |
128x4Ö2/81 |
1.8792405 |
1092.18000 |
h |
492.5 |
413.4 |
gis |
||||||
|
kl.Septime |
4x12Ö32/3 |
1.7797865 |
998.04500 |
b |
466.4 |
391.6 |
g |
||||||
|
gr.Sexte |
8x8Ö2/3xÖ3 |
1.6789465 |
897.06750 |
a |
>440.0< |
369.4 |
fis |
||||||
|
kl.Sexte |
8x6Ö32/9 |
1.5838199 |
796.09000 |
gis |
415.1 |
348.4 |
f |
||||||
|
Quinte |
4Ö27/48Ö229 |
1.4995766 |
701.46625 |
g |
393.0 |
329.9 |
e |
||||||
|
Tritonus |
32x48Ö231/27x4Ö3 |
1.4090328 |
593.64525 |
fis |
369.2 |
310.0 |
dis |
||||||
|
Quarte |
2x24Ö32/Ö3 |
1.3340864 |
499.02250 |
f |
349.6 |
293.5 |
d |
||||||
|
gr.Terz |
128x24Ö211/81xÖ3 |
1.2535348 |
391.20250 |
e |
328.5 |
275.8 |
cis |
||||||
|
kl.Terz |
4x8Ö32/3xÖ3 |
1.1871945 |
297.06750 |
dis |
311.1 |
261.2 |
c |
||||||
|
Ganzton |
3xÖ3/4x24Ö32 |
1.1243650 |
202.93250 |
d |
294.7 |
247.4 |
h |
||||||
|
Halbton |
16x24Ö2/9xÖ3 |
1.0564763 |
95.11250 |
cis |
276.9 |
232.4 |
b |
||||||
|
Grundton |
1/1 |
1.0 |
0.00000 |
C |
262.1 |
220.0 |
a |
||||||
Abweichungen der
Tonstufen bei Modulationen (Zahlen in Cent)
in der Tabelle zur Graphik „Profil“:
