Quelle:
MARPURG, Seite 31 (Angabe der Tonlogarithmen) T 11
Elfte Temperatur
Marpurg
Verteilung
des pK ≡ 23.46 cent Verteilung des pK im Quintenzirkel
f
------ c 3/2 .
3/2
b - 3.910
f
. .
dis - 3.910 b - 1/6pK
c 3/2
gis - 3.910 dis f
│ g
cis - 3.910 gis .
│
.
fis - 3.910 cis b
│
d
h - 3.910
fis - 1/6pK │ 3/2
e ------
h . dis──────┼────────a
.
a ------
e
│
d ------
a - 1/6pK gis │ e 3/2
g ------
d . │ .
c ------
g
cis │ h
================== - 1/6pK
fis 3/2
-
23.460 . .
.
- 1/6pK - 1/6pK
|
|
Quinten |
! |
Quarten |
! |
Großterzen |
! |
Kleinterzen |
|
|||||
|
f |
701.955 |
c |
498.045 |
f |
407.820 |
a |
294.135 |
c |
|||||
|
b |
698.045 |
f |
501.955 |
b |
403.910 |
d |
294.135 |
f |
|||||
|
dis |
698.045 |
b |
501.955 |
ß |
400.000 |
g |
298.045 |
b |
|||||
|
gis |
698.045 |
dis |
501.955 |
gis |
396.090 |
c |
301.955 |
dis |
|||||
|
cis |
698.045 |
gis |
501.955 |
cis |
392.180 |
f |
305.865 |
gis |
|||||
|
fis |
698.045 |
cis |
501.955 |
fis |
392.180 |
b |
305.865 |
cis |
|||||
|
h |
698.045 |
fis |
501.955 |
h |
392.180 |
dis |
305.865 |
fis |
|||||
|
e |
701.955 |
h |
498.045 |
e |
396.090 |
gis |
305.865 |
h |
|||||
|
a |
701.955 |
e |
498.045 |
a |
400.000 |
cis |
301.955 |
e |
|||||
|
d |
701.955 |
a |
498.045 |
d |
403.910 |
fis |
298.045 |
a |
|||||
|
g |
701.955 |
d |
498.045 |
g |
407.820 |
h |
294.135 |
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 |
243/128 |
1.8984375 |
1109.775 |
h |
495.0 |
417.7 |
gis |
||||||
|
kl.Septime |
6Ö32 |
1.7817975 |
1000.000 |
b |
464.6 |
392.0 |
g |
||||||
|
gr.Sexte |
27/16 |
1.6875 |
905.865 |
a |
>440.0< |
371.3 |
fis |
||||||
|
kl.Sexte |
9/4xÖ2 |
1.5909903 |
803.910 |
gis |
414.8 |
350.0 |
f |
||||||
|
Quinte |
3/2 |
1.5 |
701.955 |
g |
391.1 |
330.0 |
e |
||||||
|
Tritonus |
81/32x6Ö32 |
1.420616 |
607.820 |
fis |
370.4 |
312.5 |
dis |
||||||
|
Quarte |
4/3 |
1,3333333 |
498.045 |
f |
347.7 |
293.3 |
d |
||||||
|
gr.Terz |
81/64 |
1.265625 |
407.820 |
e |
330.0 |
278.4 |
cis |
||||||
|
kl.Terz |
3/3Ö16 |
1.1905508 |
301.955 |
dis |
310.4 |
261.9 |
c |
||||||
|
Ganzton |
9/8 |
1,125 |
203.910 |
d |
293.3 |
247.5 |
h |
||||||
|
Halton |
27/16x3Ö4 |
1.0630584 |
105.865 |
cis |
277.2 |
233.9 |
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“:
