Quelle:
MARPURG, Seite 22 (Angabe der Tonlogarithmen) T 02
Zweite Temperatur
Marpurg
Verteilung
des pK º 23.46 cent Verteilung
des pK im Quintenzirkel
f
------ c 3/2 .
3/2
ais - 19.550
f
. .
dis ------ ais - 5/6pK
c 3/2
gis ------ dis f
│ g
cis ------ gis .
│
.
fis ------ cis ais
│
d
h ------
fis 3/2 │ 3/2
e - 3.910
h . dis──────┼────────a .
a ------
e
│
d ------
a 3/2
gis │ e 3/2
g ------
d . │ .
c ------
g
cis │ h
================== 3/2 fis - 1/6pK
- 23.460 . .
.
3/2 3/2
|
|
Quinten |
|
Quarten |
|
Großterzen |
|
Kleinterzen |
|
|||||
|
f |
701.955 |
c |
498.045 |
f |
407.820 |
a |
294.135 |
c |
|||||
|
b |
682.405 |
f |
498.045 |
b |
388.270 |
d |
294.135 |
f |
|||||
|
dis |
701.955 |
b |
498.045 |
ß |
388.270 |
g |
313.685 |
b |
|||||
|
gis |
701.955 |
dis |
498.045 |
gis |
388.270 |
c |
313.685 |
dis |
|||||
|
cis |
701.955 |
gis |
498.045 |
cis |
388.270 |
f |
313.685 |
gis |
|||||
|
fis |
701.955 |
cis |
498.045 |
fis |
407.820 |
b |
294.135 |
cis |
|||||
|
h |
701.955 |
fis |
498.045 |
h |
407.820 |
dis |
294.135 |
fis |
|||||
|
e |
698.045 |
h |
501.95 |
e |
403.910 |
gis |
294.135 |
h |
|||||
|
a |
701.955 |
e |
498.045 |
a |
403.910 |
cis |
298.045 |
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 |
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 |
27x6Ö2/16 |
1.8941548 |
1105.865 |
h |
493.9 |
416.7 |
gis |
||||||
|
kl.Septime |
6561x6Ö2/4096 |
1.7979672 |
1015.640 |
b |
468.8 |
395.6 |
g |
||||||
|
gr.Sexte |
27/16 |
1.6875 |
905.865 |
a |
>440.0< |
371.3 |
fis |
||||||
|
kl.Sexte |
729x6Ö2/512 |
1.5981931 |
811.730 |
gis |
416.7 |
351.6 |
f |
||||||
|
Quinte |
3/2 |
1.5 |
701.955 |
g |
391.1 |
330.0 |
e |
||||||
|
Tritonus |
81x6Ö2/64 |
1.4206161 |
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 |
2187x6Ö2/2048 |
1.1986448 |
313.685 |
dis |
312.5 |
263.7 |
c |
||||||
|
Ganzton |
9/8 |
1.125 |
203.910 |
d |
293.3 |
247.5 |
h |
||||||
|
Halton |
243x6Ö2/256 |
1.0654621 |
109.775 |
cis |
277.8 |
234.4 |
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“:
