Quelle:
MARPURG, Seite 24 (Angabe der Tonlogarithmen) T 04
Vierte Temperatur
Marpurg
Verteilung
des pK º 23.46 cent Verteilung
des pK im Quintenzirkel
f
------ c 3/2 .
3/2
b ------ f . .
es ------ b 3/2 c 3/2
gis - 7.820
es
f │ g
cis ------ gis .
│
.
fis ------ cis b
│
d
h ------
fis 3/2 │ 3/2
e - 15.640
h . es───────┼────────a .
a ------
e
│
d ------
a - 1/3pK gis │ e 3/2
g ------
d . │ .
c ------
g
cis │ h
================== 3/2 fis - 2/3pK
- 23.460 .
.
.
3/2 3/2
|
|
Quinten |
|
Quarten |
|
Großterzen |
|
Kleinterzen |
|
|||||
|
f |
701.955 |
c |
498.045 |
f |
407.820 |
a |
294.135 |
c |
|||||
|
b |
701.955 |
f |
498.045 |
b |
407.820 |
d |
294.135 |
f |
|||||
|
dis |
701.955 |
b |
498.045 |
dis |
407.820 |
g |
294.135 |
b |
|||||
|
gis |
694.135 |
dis |
505.865 |
gis |
400.000 |
c |
294.135 |
dis |
|||||
|
cis |
701.955 |
gis |
498.045 |
cis |
400.000 |
f |
301.955 |
gis |
|||||
|
fis |
701.955 |
cis |
498.045 |
fis |
400.000 |
b |
301.955 |
cis |
|||||
|
h |
701.955 |
fis |
498.045 |
h |
400.000 |
dis |
301.955 |
fis |
|||||
|
e |
686.315 |
h |
513.685 |
e |
392.180 |
gis |
294.135 |
h |
|||||
|
a |
701.955 |
e |
498.045 |
a |
392.180 |
cis |
309.775 |
e |
|||||
|
d |
701.955 |
a |
498.045 |
d |
392.180 |
fis |
309.775 |
a |
|||||
|
g |
701.955 |
d |
498.045 |
g |
392.180 |
h |
309.775 |
d |
|||||
|
c |
701.955 |
g |
498.045 |
c |
407.820 |
e |
294.135 |
g |
|||||
|
Intervall-bezeichnung |
Quotient |
Dezimal-zahl |
Centwert des Intervalls |
Frequenzbeispiele (Zahlen in Hz) |
|||||||||
|
|
|
|
|
|
|
|
|
||||||
|
Oktave |
2/1 |
2.0 |
1200.000 |
c |
521.4 |
>440.0< |
a |
||||||
|
gr.Septime |
32x3Ö4/27 |
1.8812643 |
1094.135 |
h |
463.5 |
413.9 |
gis |
||||||
|
kl.Septime |
16/9 |
1.7777778 |
996.090 |
b |
463.5 |
391.1 |
g |
||||||
|
gr.Sexte |
27/16 |
1.6875 |
905.865 |
a |
>440.0< |
371.3 |
fis |
||||||
|
kl.Sexte |
3Ö4 |
1.5874011 |
800.000 |
gis |
413.9 |
349.2 |
f |
||||||
|
Quinte |
3/2 |
1.5 |
701.955 |
g |
391.1 |
330.0 |
e |
||||||
|
Tritonus |
8x3Ö4/9 |
1.4110232 |
596.090 |
fis |
367.9 |
310
4 |
dis |
||||||
|
Quarte |
4/3 |
1.3333333 |
498.045 |
f |
347.9 |
293.3 |
d |
||||||
|
gr.Terz |
81/64 |
1.265625 |
407.820 |
e |
330.0 |
278.4 |
cis |
||||||
|
kl.Terz |
32/27 |
1.1851852 |
294.135 |
dis |
309.0 |
260.7 |
c |
||||||
|
Ganzton |
9/8 |
1.125 |
203.910 |
d |
293.3 |
247.5 |
h |
||||||
|
Halton |
2x3Ö4/3 |
1.0258267 |
98.045 |
cis |
275.9 |
232.8 |
b |
||||||
|
Grundton |
1/1 |
1.0 |
0.000 |
C |
260.7 |
220.0 |
a |
||||||
Abweichungen der
Tonstufen bei Modulationen (Zahlen in Cent)
in der Tabelle zur Graphik „Profil“:
