Quelle:
MEISTER, Seite 124 (Angabe ganzer Cent-Zahlen) T 76
Johann Georg Neidhardt, 1732
(für ein Dorf)
Verteilung
des pK º 23.46 cent Verteilung
des pK im Quintenzirkel
f
------ c 3/2 . -
1/12pK
b - 1.955
f
. .
es ------ b - 1/12pK c - 1/6pK
gis ------
es
f │ g
cis - 1.955 gis .
│
.
fis ------ cis b
│
d
h - 1.955
fis 3/2 │ - 1/4pK
e ------
h . es───────┼────────a .
a - 5.865
e
│
d - 5.865
a 3/2 gis
│
e - 1/4pK
g - 3.910
d . │ .
c - 1.955
g
cis │ h
================== - 1/12pK fis 3/2
-
23.460
. .
.
3/2 - 1/12pK
|
|
Quinten |
|
Quarten |
|
Großterzen |
|
Kleinterzen |
|
|||||
|
f |
701.955 |
c |
498.045 |
f |
396.090 |
a |
305.865 |
c |
|||||
|
b |
700.000 |
f |
500.000 |
b |
400.000 |
d |
300.000 |
f |
|||||
|
es |
701.955 |
b |
498.045 |
es |
403.910 |
g |
298.045 |
b |
|||||
|
gis |
701.955 |
es |
498.045 |
gis |
405.865 |
c |
296.090 |
es |
|||||
|
cis |
700.000 |
gis |
500.000 |
cis |
403.910 |
f |
296.090 |
gis |
|||||
|
fis |
701.955 |
cis |
498.045 |
fis |
405.865 |
b |
296.090 |
cis |
|||||
|
h |
700.000 |
fis |
500.000 |
h |
403.910 |
es |
296.090 |
fis |
|||||
|
e |
701.955 |
h |
498.045 |
e |
403.910 |
gis |
298.045 |
h |
|||||
|
a |
696.090 |
e |
503.910 |
a |
400.000 |
cis |
296.090 |
e |
|||||
|
d |
696.090 |
a |
503.910 |
d |
394.135 |
fis |
301.955 |
a |
|||||
|
g |
696.090 |
d |
503.910 |
g |
392.180 |
h |
305.865 |
d |
|||||
|
c |
700.000 |
g |
500.000 |
c |
390.225 |
e |
309.775 |
g |
|||||
|
Intervall-bezeichnung |
Quotient |
Dezimal-zahl |
Centwert des Intervalls |
Frequenzbeispiele (Zahlen in Hz) |
|||||||||
|
|
|
|
|
|
|
|
|
||||||
|
Oktave |
2/1 |
2.0 |
1200.000 |
c |
525.0 |
>440.0< |
a |
||||||
|
gr.Septime |
128x4Ö2/81 |
1.8792409 |
1092.180 |
h |
493.3 |
413.4 |
gis |
||||||
|
kl.Septime |
4x12Ö32/3 |
1.7797865 |
998.045 |
b |
467.2 |
391.6 |
g |
||||||
|
gr.Sexte |
32xÖ2/27 |
1.6761050 |
894.135 |
a |
>440.0< |
368.7 |
fis |
||||||
|
kl.Sexte |
32x12Ö32/27 |
1.5820325 |
794.135 |
gis |
415.3 |
348.0 |
f |
||||||
|
Quinte |
12Ö27 |
1.4983071 |
700.000 |
g |
393.3 |
329.6 |
e |
||||||
|
Tritonus |
64x6Ö32/81 |
1.4078399 |
592.180 |
fis |
369.6 |
309.7 |
es |
||||||
|
Quarte |
4/3 |
1.3333333 |
498.045 |
f |
350.0 |
293.3 |
d |
||||||
|
gr.Terz |
256x4Ö2/243 |
1.2528272 |
390.225 |
e |
328.9 |
275.6 |
cis |
||||||
|
kl.Terz |
8x12Ö32/9 |
1.1865244 |
296.090 |
es |
311.5 |
261.0 |
c |
||||||
|
Ganzton |
2x4Ö8/3 |
1.1211952 |
198.045 |
d |
294.3 |
246.7 |
h |
||||||
|
Halbton |
16x6Ö32/27 |
1.0558799 |
198.045 |
cis |
277.2 |
232.3 |
b |
||||||
|
Grundton |
1/1 |
1.0 |
0.000 |
C |
262.5 |
220.0 |
a |
||||||
Abweichungen der
Tonstufen bei Modulationen (Zahlen in Cent)
in der Tabelle zur Graphik „Profil“:
