Quelle:
DUPONT, Seite 82 (Angaben in ganzen Cent-Zahlen) T 19
Werckmeister IV
Verteilung
des pK º 23.46 cent Verteilung
des pK im Quintenzirkel
f
------- c 3/2 . - 1/7pK
b - 3.3515
f
. .
dis
------- b - 1/7pK c - 4/7pK
gis +
3.3512(!)dis
f │ g
cis ------- gis .
│
.
fis - 6.7030 cis b
│
d
h - 3.3515
fis 3/2 │ + 1/7pK
e -------
h . dis──────┼────────a .
a -------
e
│
d + 3.3515(!) a + 1/7pK
gis │ e 3/2
g - 13.4055
d . │ .
c - 3.3515
g
cis │ h
=================== 3/2 fis 3/2
- 23.4600 . .
.
-
2/7pK - 1/7pK
|
|
Quinten |
|
Quarten |
|
Großterzen |
|
Kleinterzen |
|
|||||
|
f |
701.9550 |
c |
498.0450 |
f |
394.4145 |
a |
307.5405 |
c |
|||||
|
b |
698.6035 |
f |
501.3965 |
b |
387.7115 |
d |
310.8920 |
f |
|||||
|
dis |
701.9550 |
b |
498.0450 |
dis |
401.1170 |
g |
300.8380 |
b |
|||||
|
gis |
705.3065 |
dis |
494.6935 |
gis |
407.8200 |
c |
297.4865 |
dis |
|||||
|
cis |
701.9550 |
gis |
498.0450 |
cis |
407.8200 |
f |
294.1350 |
gis |
|||||
|
fis |
695.2520 |
cis |
504.7480 |
fis |
404.4685 |
b |
290.7835 |
cis |
|||||
|
h |
698.6035 |
fis |
501.3965 |
h |
401.1170 |
dis |
297.4865 |
fis |
|||||
|
e |
701.9550 |
h |
498.0450 |
e |
397.7655 |
gis |
304.1895 |
h |
|||||
|
a |
701.9550 |
e |
498.0450 |
a |
397.7655 |
cis |
304.1895 |
e |
|||||
|
d |
705.3065 |
a |
494.6935 |
d |
407.8200 |
fis |
297.4865 |
a |
|||||
|
g |
688.5495 |
d |
511.4505 |
g |
397.7660 |
h |
290.7835 |
d |
|||||
|
c |
698.6035 |
g |
501.3965 |
c |
394.4145 |
e |
304.1890 |
g |
|||||
|
Intervall-bezeichnung |
Quotient |
Dezimal-zahl |
Centwert des Intervalls |
Frequenzbeispiele (Zahlen in Hz) |
|||||||||
|
|
|
|
|
|
|
|
|
||||||
|
Oktave |
2/1 |
2.0 |
1200.0000 |
c |
525.6 |
>440.0< |
a |
||||||
|
gr.Septime |
8x7Ö64/3x7Ö729 |
1.8837957 |
1096.3695 |
h |
495.0 |
414.4 |
gis |
||||||
|
kl.Septime |
2x7Ö4/7Ö9 |
1.7812232 |
999.4415 |
b |
468.0 |
391.9 |
g |
||||||
|
gr.Sexte |
64x7Ö64/27x7Ö729 |
1.6744851 |
892.4595 |
a |
>440.0< |
368.4 |
fis |
||||||
|
kl.Sexte |
128/81 |
1.5802469 |
792.1800 |
gis |
415.2 |
347.7 |
f |
||||||
|
Quinte |
2x7Ö2/7Ö3 |
1.4970536 |
698.6035 |
g |
393.4 |
329.4 |
e |
||||||
|
Tritonus |
16x7Ö16/9x7Ö81 |
1.4101139 |
594.9730 |
fis |
370.5 |
310.2 |
dis |
||||||
|
Quarte |
4/3 |
1.3333333 |
498.0450 |
f |
350.4 |
293.3 |
d |
||||||
|
gr.Terz |
16x7Ö64/9x7Ö729 |
1.2558638 |
394.4145 |
e |
330.0 |
276.3 |
cis |
||||||
|
kl.Terz |
4x7Ö4/3x7Ö3 |
1.1874822 |
297.4865 |
dis |
312.0 |
261.2 |
c |
||||||
|
Ganzton |
1024x7Ö16/729x7Ö81 |
1.1141633 |
187.1530 |
d |
292.8 |
245.1 |
h |
||||||
|
Halbton |
256/243 |
1.0534979 |
90.2250 |
cis |
276.8 |
231.8 |
b |
||||||
|
Grundton |
1/1 |
1.0 |
0.0000 |
C |
262.8 |
220.0 |
a |
||||||
Abweichungen der
Tonstufen bei Modulationen (Zahlen in Cent)
in der Tabelle zur Graphik „Profil“:
