Quelle:
DUPONT, Seite 81 (Angaben in ganzen Centzahlen) T 18
Werckmeister III
Verteilung
des pK º 23.46 cent Verteilung
des pK im Quintenzirkel
f
- 5.865 c - 1/4pK .
3/2
b ------
f
. .
dis
------ b 3/2 c 3/2
gis +
5.865(!)dis
f │ g
cis -
5.865 gis .
│
.
fis -
5.865 cis b
│
d
h ------
fis 3/2 │ - 1/4pK
e ------
h . dis──────┼────────a
.
a - 5.865
e
│
d - 5.865
a + 1/4pK gis │ e
- 1/4pK
g ------
d . │ .
c ------
g
cis │ h
================== - 1/4pK
fis 3/2
-
23.460 . .
.
- 1/4pK 3/2
|
|
Quinten |
|
Quarten |
|
Großterzen |
|
Kleinterzen |
|
|||||
|
f |
696.090 |
c |
503.910 |
f |
396.090 |
a |
300.000 |
c |
|||||
|
b |
701.955 |
f |
498.045 |
b |
401.955 |
d |
300.000 |
f |
|||||
|
dis |
701.955 |
b |
498.045 |
ß |
401.955 |
g |
300.000 |
b |
|||||
|
gis |
707.820 |
dis |
492.180 |
gis |
407.820 |
c |
300.000 |
dis |
|||||
|
cis |
696.090 |
gis |
503.910 |
cis |
407.820 |
f |
288.270 |
gis |
|||||
|
fis |
696.090 |
cis |
503.910 |
fis |
401.955 |
b |
294.135 |
cis |
|||||
|
h |
701.955 |
fis |
498.045 |
h |
401.955 |
dis |
300.000 |
fis |
|||||
|
e |
701.955 |
h |
498.045 |
e |
396.090 |
gis |
305.865 |
h |
|||||
|
a |
696.090 |
e |
503.910 |
a |
396.090 |
cis |
300.000 |
e |
|||||
|
d |
696.090 |
a |
503.910 |
d |
396.090 |
fis |
300.000 |
a |
|||||
|
g |
701.955 |
d |
498.045 |
g |
396.090 |
h |
305.865 |
d |
|||||
|
c |
701.955 |
g |
498.045 |
c |
396.090 |
e |
305.865 |
g |
|||||
|
Intervall-bezeichnung |
Quotient |
Dezimal-zahl |
Centwert des Intervalls |
Frequenzbeispiele (Zahlen in Hz) |
|||||||||
|
|
|
|
|
|
|
|
|
||||||
|
Oktave |
2/1 |
2.0 |
1200.000 |
c |
523.2 |
>440.0< |
a |
||||||
|
gr.Septime |
4xÖ2/3 |
1.8856181 |
1098.045 |
h |
493.3 |
414.8 |
gis |
||||||
|
kl.Septime |
3/4Ö8 |
1.7838107 |
1001.955 |
b |
466.6 |
392.4 |
g |
||||||
|
gr.Sexte |
4Ö8 |
1.6817928 |
900.000 |
a |
>440.0< |
370.0 |
fis |
||||||
|
kl.Sexte |
128/81 |
1.5802469 |
792.180 |
gis |
413.4 |
347.7 |
f |
||||||
|
Quinte |
3/2 |
1.5 |
701.955 |
g |
392.4 |
330.0 |
e |
||||||
|
Tritonus |
Ö2 |
1.4142136 |
600.000 |
fis |
370.0 |
311.1 |
dis |
||||||
|
Quarte |
9/4x4Ö8 |
1.3378580 |
503.910 |
f |
350.0 |
294.3 |
d |
||||||
|
gr.Terz |
8xÖ2/9 |
1.2570787 |
396.090 |
e |
328.9 |
276.6 |
cis |
||||||
|
kl.Terz |
4Ö2 |
1.1892071 |
300.000 |
dis |
311.1 |
261.6 |
c |
||||||
|
Ganzton |
9/8 |
1.125 |
203.910 |
d |
294.3 |
247.5 |
h |
||||||
|
Halbton |
8x4Ö2/9 |
1.057073 |
96.090 |
cis |
276.6 |
232.6 |
b |
||||||
|
Grundton |
1/1 |
1.0 |
0.000 |
C |
261.6 |
220.0 |
a |
||||||
Abweichungen der
Tonstufen bei Modulationen (Zahlen in Cent)
in der Tabelle zur Graphik „Profil“:
