Quelle:
MARPURG, Seite 21 (Angabe der Tonlogarithmen) T 01
Erste Temperatur Marpurg -
Kirnbergersche Temperatur, 1766
Verteilung
des pK º 23.46 cent Verteilung
des pK im Quintenzirkel
f
------ c 3/2 .
3/2
b ------
f
. .
dis ------ b 3/2
c 3/2
gis ------ dis f
│ g
cis ------ gis .
│
.
fis - 1.955 cis b
│
d
h ------
fis 3/2 │ - 11/12pK
e ------
h . dis──────┼────────a .
a ------
e
│
d - 21.505
a 3/2 gis
│
e 3/2
g ------
d . │ .
c ------
g
cis │ h
================== 3/2 fis 3/2
-
23.460
. .
.
-
1/12pK 3/2
|
|
Quinten |
|
Quarten |
|
Großterzen |
|
Kleinterzen |
|
|||||
|
f |
701.955 |
c |
498.045 |
f |
386.315 |
a |
315.640 |
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 |
701.955 |
dis |
498.045 |
gis |
407.820 |
c |
294.135 |
dis |
|||||
|
cis |
701.955 |
gis |
498.045 |
cis |
407.820 |
f |
294.135 |
gis |
|||||
|
fis |
700.000 |
cis |
500.000 |
fis |
405.865 |
b |
294.135 |
cis |
|||||
|
h |
701.955 |
fis |
498.045 |
h |
405.865 |
dis |
296.090 |
fis |
|||||
|
e |
701.955 |
h |
498.045 |
e |
405.865 |
gis |
296.090 |
h |
|||||
|
a |
701.955 |
e |
498.045 |
a |
405.865 |
cis |
296.090 |
e |
|||||
|
d |
680.450 |
a |
519.550 |
d |
386.315 |
fis |
294.135 |
a |
|||||
|
g |
701.955 |
d |
498.045 |
g |
386.315 |
h |
315.640 |
d |
|||||
|
c |
701.955 |
g |
498.045 |
c |
386.315 |
e |
315.640 |
g |
|||||
|
Intervall-bezeichnung |
Quotient |
Dezimal-zahl |
Centwert des Intervalls |
Frequenzbeispiele (Zahlen in Hz) |
|||||||||
|
|
|
|
|
|
|
|
|
||||||
|
Oktave |
2/1 |
2.0 |
1200.000 |
c |
528.0 |
>440.0< |
a |
||||||
|
gr.Septime |
1024x12Ö32/729 |
1.8750014 |
1088.270 |
h |
495.0 |
412.5 |
gis |
||||||
|
kl.Septime |
16/9 |
1.7777778 |
969.090 |
b |
469.3 |
391.1 |
g |
||||||
|
gr.Sexte |
8192x12Ö32/6561 |
1.6666679 |
884.360 |
a |
>440.0< |
366.7 |
fis |
||||||
|
kl.Sexte |
128/81 |
1.5802469 |
792.180 |
gis |
417.2 |
347.7 |
f |
||||||
|
Quinte |
3/2 |
1.5 |
701.955 |
g |
396.0 |
330.0 |
e |
||||||
|
Tritonus |
256x12Ö32/243 |
1.4062510 |
590.225 |
fis |
371.3 |
309.4 |
dis |
||||||
|
Quarte |
4/3 |
1.3333333 |
498.045 |
f |
352.0 |
293.3 |
d |
||||||
|
gr.Terz |
2048x12Ö32/2187 |
1.2500009 |
386.315 |
e |
330.0 |
275.0 |
cis |
||||||
|
kl.Terz |
32/27 |
1.1851852 |
294.135 |
dis |
312.9 |
260.7 |
c |
||||||
|
Ganzton |
9/8 |
1.125 |
203.910 |
d |
297.0 |
247.5 |
h |
||||||
|
Halton |
256/243 |
1.0534979 |
90.225 |
cis |
278.1 |
231.8 |
b |
||||||
|
Grundton |
1/1 |
1.0 |
0.000 |
C |
264.0 |
220.0 |
a |
||||||
Abweichungen der
Tonstufen bei Modulationen (Zahlen in Cent)
in der Tabelle zur Graphik „Profil“:
