Quelle:
MARPURG, Seite 29 (Angabe der Tonlogarithmen) T 08
Achte Temperatur
Marpurg
Verteilung
des pK º 23.46 cent Verteilung
des pK im Quintenzirkel
f
------ c 3/2 . - 1/4pK
b - 5.865
f
. .
dis ------ b - 1/4pK
c 3/2
gis ------ dis f
│ g
cis - 5.865 gis .
│
.
fis ------ cis
b │ d
h ------
fis 3/2 │ 3/2
e - 5.865
h . dis──────┼────────a .
a ------
e
│
d ------
a 3/2 gis │ e 3/2
g ------
d . │ .
c - 5.865
g
cis │ h
================== - 1/4pK
fis - 1/4pK
-
23.460 . .
.
3/2 3/2
|
|
Quinten |
|
Quarten |
|
Großterzen |
|
Kleinterzen |
|
|||||
|
f |
701.955 |
c |
498.045 |
f |
401.955 |
a |
300.000 |
c |
|||||
|
b |
696.090 |
f |
503.910 |
b |
396.090 |
d |
300.000 |
f |
|||||
|
dis |
701.955 |
b |
498.045 |
ß |
396.090 |
g |
305.865 |
b |
|||||
|
gis |
701.955 |
dis |
498.045 |
gis |
401.955 |
c |
300.000 |
dis |
|||||
|
cis |
696.090 |
gis |
503.910 |
cis |
396.090 |
f |
300.000 |
gis |
|||||
|
fis |
701.955 |
cis |
498.045 |
fis |
401.955 |
b |
300.000 |
cis |
|||||
|
h |
701.955 |
fis |
498.045 |
h |
401.955 |
dis |
300.000 |
fis |
|||||
|
e |
696.090 |
h |
503.910 |
e |
396.090 |
gis |
300.000 |
h |
|||||
|
a |
701.955 |
e |
498.045 |
a |
401.955 |
cis |
300.000 |
e |
|||||
|
d |
701.955 |
a |
498.045 |
d |
401.955 |
fis |
300.000 |
a |
|||||
|
g |
701.955 |
d |
498.045 |
g |
401.955 |
h |
300.000 |
d |
|||||
|
c |
696.090 |
g |
503.910 |
c |
401.955 |
e |
294.135 |
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 |
3x4Ö2/2 |
1.7838107 |
1001.955 |
b |
466.7 |
392.4 |
g |
||||||
|
gr.Sexte |
4Ö8 |
1.6817928 |
900.000 |
a |
>440.0< |
370.0 |
fis |
||||||
|
kl.Sexte |
4x4Ö2/3 |
1.5856095 |
798.045 |
gis |
414.8 |
348.8 |
f |
||||||
|
Quinte |
8x4Ö8/9 |
1.4949270 |
696.090 |
g |
391.1 |
328.9 |
e |
||||||
|
Tritonus |
Ö2 |
1.4142136 |
600.000 |
fis |
370.0 |
311.1 |
dis |
||||||
|
Quarte |
4/3 |
1.3333333 |
498.045 |
f |
348.8 |
293.3 |
d |
||||||
|
gr.Terz |
3x4Ö8/4 |
1.2613446 |
401.955 |
e |
330.0 |
277.5 |
cis |
||||||
|
kl.Terz |
4Ö2 |
1.1892071 |
300.000 |
dis |
311.1 |
261.6 |
c |
||||||
|
Ganzton |
2x4Ö8/3 |
1.1211952 |
198.045 |
d |
293.3 |
246.7 |
h |
||||||
|
Halton |
2xÖ2/4 |
1.0606602 |
101.955 |
cis |
277.5 |
233.3 |
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“:
