Quelle:
DUPONT, Seite 80 (Angaben in ganzen Cent-Zahlen) T 17
Werckmeister II
Verteilung
des pK º 23.46 cent Verteilung
des pK im Quintenzirkel
f
------ c 3/2 . -
1/3pK
b - 7.820
f
. .
dis + 7.820(!)
b - 1/3pK c 3/2
gis +
7.820(!)dis
f │ g
cis ------ gis .
│
.
fis - 7.820 cis
b │ d
h ------
fis + 1/3pK │ - 1/3pK
e - 7.820
h . dis──────┼────────a
.
a ------
e
│
d - 7.820
a + 1/3pk
gis │ e 3/2
g ------
d . │ .
c - 7.820
g
cis │ h
================== 3/2
fis - 1/3pK
-
23.460 . .
.
- 1/3pK 3/2
|
|
Quinten |
|
Quarten |
|
Großterzen |
|
Kleinterzen |
|
|||||
|
f |
701.955 |
c |
498.045 |
f |
392.180 |
a |
309.775 |
c |
|||||
|
b |
694.135 |
f |
505.865 |
b |
392.180 |
d |
301.955 |
f |
|||||
|
dis |
709.775 |
b |
490.225 |
dis |
400.000 |
g |
309.775 |
b |
|||||
|
gis |
709.775 |
dis |
490.225 |
gis |
415.640 |
c |
294.135 |
dis |
|||||
|
cis |
701.955 |
gis |
498.045 |
cis |
415.640 |
f |
286.315 |
gis |
|||||
|
fis |
694.135 |
cis |
505.865 |
fis |
415.640 |
b |
278.495 |
cis |
|||||
|
h |
701.955 |
fis |
498.045 |
h |
407.820 |
dis |
294.135 |
fis |
|||||
|
e |
694.135 |
h |
505.865 |
e |
392.180 |
gis |
301.955 |
h |
|||||
|
a |
701.955 |
e |
498.045 |
a |
392.180 |
cis |
309.775 |
e |
|||||
|
d |
694.135 |
a |
505.865 |
d |
392.180 |
fis |
301.955 |
a |
|||||
|
g |
701.955 |
d |
498.045 |
g |
392.180 |
h |
309.775 |
d |
|||||
|
c |
694.135 |
g |
505.865 |
c |
392.180 |
e |
301.955 |
g |
|||||
|
Intervall-bezeichnung |
Quotient |
Dezimal-zahl |
Centwert des Intervalls |
Frequenzbeispiele (Zahlen in Hz) |
|||||||||
|
|
|
|
|
|
|
|
|
||||||
|
Oktave |
2/1 |
2.0 |
1200.000 |
c |
526.2 |
>440.0< |
a |
||||||
|
gr.Septime |
4096/2187 |
1.8728852 |
1086.315 |
h |
492.8 |
412.0 |
gis |
||||||
|
kl.Septime |
9/4x3Ö2 |
1.7858261 |
1003.910 |
b |
469.9 |
392.9 |
g |
||||||
|
gr.Sexte |
256x3Ö4/243 |
1.6723238 |
890.225 |
a |
>440.0< |
367.9 |
fis |
||||||
|
kl.Sexte |
8192x3Ö2/6561 |
1.5731251 |
784.360 |
gis |
413.9 |
346.1 |
f |
||||||
|
Quinte |
32x3Ö2/27 |
1.4932398 |
694.135 |
g |
392.9 |
328.5 |
e |
||||||
|
Tritonus |
1024/729 |
1.4046639 |
588.270 |
fis |
369.6 |
309.0 |
dis |
||||||
|
Quarte |
4/3 |
1.3333333 |
498.045 |
f |
350.8 |
293.3 |
d |
||||||
|
gr.Terz |
64x3Ö4/81 |
1.2542428 |
392.180 |
e |
330.0 |
275.9 |
cis |
||||||
|
kl.Terz |
32/27 |
1.1851852 |
294.135 |
dis |
311.8 |
260.7 |
c |
||||||
|
Ganzton |
8x3Ö2/9 |
1.1199299 |
196.090 |
d |
294.7 |
246.4 |
h |
||||||
|
Halbton |
16384x3Ö2/19683 |
1.0487501 |
82.405 |
cis |
275.9 |
230.7 |
b |
||||||
|
Grundton |
1/1 |
1.0 |
0.000 |
C |
263.1 |
220.0 |
a |
||||||
Abweichungen der
Tonstufen bei Modulationen (Zahlen in Cent)
in der Tabelle zur Graphik „Profil“:
