Quelle:
MARPURG, Seite 33 (Angabe der Tonlogarithmen) T 12
Zwölfte Temperatur
Marpurg
Verteilung
des pK º 23.46 cent Verteilung
des pK im Quintenzirkel
f
- 1.955 c - 1/12pK . + 1/12pK
b ------
f
. .
dis ------ b 3/2
c 3/2
gis - 19.550
dis
f │ g
cis ------ gis .
│
.
fis ------ cis b
│
d
h ------
fis 3/2 │ 3/2
e ------
h . dis──────┼────────a .
a - 3.910
e
│
d ------
a - 5/6pK
gis │ e - 1/6pK
g ------
d . │ .
c + 1.955(!) g cis
│ h
================== 3/2
fis 3/2
- 23.460 . .
.
3/2 3/2
|
|
Quinten |
|
Quarten |
|
Großterzen |
|
Kleinterzen |
|
|||||
|
f |
700.000 |
c |
500.000 |
f |
407.820 |
a |
492.180 |
c |
|||||
|
b |
701.955 |
f |
498.045 |
b |
407.820 |
d |
294.135 |
f |
|||||
|
dis |
701.955 |
b |
498.045 |
ß |
407.820 |
g |
294.135 |
b |
|||||
|
gis |
682.405 |
dis |
517.595 |
gis |
386.315 |
c |
296.090 |
dis |
|||||
|
cis |
701.955 |
gis |
498.045 |
cis |
388.270 |
f |
313.685 |
gis |
|||||
|
fis |
701.955 |
cis |
498.045 |
fis |
388.270 |
b |
313.685 |
cis |
|||||
|
h |
701.955 |
fis |
498.045 |
h |
388.270 |
dis |
313.685 |
fis |
|||||
|
e |
701.955 |
h |
498.045 |
e |
407.820 |
gis |
294.135 |
h |
|||||
|
a |
698.045 |
e |
501.955 |
a |
403.910 |
cis |
294.135 |
e |
|||||
|
d |
701.955 |
a |
498.045 |
d |
403.910 |
fis |
298.045 |
a |
|||||
|
g |
701.955 |
d |
498.045 |
g |
403.910 |
h |
298.045 |
d |
|||||
|
c |
703.910 |
g |
496.090 |
c |
405.865 |
e |
298.045 |
g |
|||||
|
Intervall-bezeichnung |
Quotient |
Dezimal-zahl |
Centwert des Intervalls |
Frequenzbeispiele (Zahlen in Hz) |
|||||||||
|
|
|
|
|
|
|
|
|
||||||
|
Oktave |
2/1 |
2.0 |
1200.000 |
c |
520.8 |
>440.0< |
a |
||||||
|
gr.Septime |
81/32x12Ö25 |
1.8962949 |
1107.820 |
h |
493.9 |
417.2 |
gis |
||||||
|
kl.Septime |
4x12Ö25/3 |
1.7797865 |
998.045 |
b |
463.5 |
391.6 |
g |
||||||
|
gr.Sexte |
81/32x12Ö27 |
1.6894067 |
907.820 |
a |
>440.0< |
371.7 |
fis |
||||||
|
kl.Sexte |
2187/1024x12Ö25 |
1.5999988 |
813.685 |
gis |
416.7 |
352.0 |
f |
||||||
|
Quinte |
9/4x12Ö27 |
1.5016948 |
703.910 |
g |
391.1 |
330.4 |
e |
||||||
|
Tritonus |
243/128x12Ö25 |
1.4222121 |
609.775 |
fis |
370.4 |
312.9 |
dis |
||||||
|
Quarte |
12Ö25 |
1.3348399 |
500.000 |
f |
347.7 |
293.7 |
d |
||||||
|
gr.Terz |
27/1612Ö25 |
1.2641966 |
405.865 |
e |
329.3 |
278.1 |
cis |
||||||
|
kl.Terz |
8x12Ö25/9 |
1.1865243 |
296.090 |
dis |
309.0 |
261.0 |
c |
||||||
|
Ganzton |
27/16x12Ö27 |
1.1262711 |
205.865 |
d |
293.3 |
247.8 |
h |
||||||
|
Halton |
729/512x12Ö25 |
1.0666659 |
111.730 |
cis |
277.8 |
234.7 |
b |
||||||
|
Grundton |
1/1 |
1.0 |
0.000 |
C |
260.4 |
220.0 |
a |
||||||
Abweichungen der
Tonstufen bei Modulationen (Zahlen in Cent)
in der Tabelle zur Graphik „Profil“:
