Quelle:
MEISTER, Seite 121 (Angabe ganzer Cent-Zahlen) T 72
Fünfteilung des
pythagoreischen Kommas
Verteilung
des pK º 23.46 cent Verteilung
des pK im Quintenzirkel
f
------ c 3/2 . -
1/5pK
b ------
f
. .
es ------ b 3/2 c - 1/5pK
gis ------
es
f │ g
cis ------ gis .
│
.
fis ------ cis b
│
d
h ------
fis 3/2 │ - 1/5pK
e - 4.692
h . es───────┼────────a .
a - 4.692
e
│
d - 4.692
a 3/2 gis
│
e - 1/5pK
g - 4.692
d . │ .
c - 4.692
g
cis │ h
================== 3/2 fis - 1/5pK
- 23.460 . .
.
3/2 3/2
|
|
Quinten |
|
Quarten |
|
Großterzen |
|
Kleinterzen |
|
|||||
|
f |
701.955 |
c |
498.045 |
f |
393.744 |
a |
308.211 |
c |
|||||
|
b |
701.955 |
f |
498.045 |
b |
398.436 |
d |
303.519 |
f |
|||||
|
es |
701.955 |
b |
498.045 |
es |
403.128 |
g |
298.827 |
b |
|||||
|
gis |
701.955 |
es |
498.045 |
gis |
407.820 |
c |
294.135 |
es |
|||||
|
cis |
701.955 |
gis |
498.045 |
cis |
407.820 |
f |
294.135 |
gis |
|||||
|
fis |
701.955 |
cis |
498.045 |
fis |
407.820 |
b |
294.135 |
cis |
|||||
|
h |
701.955 |
fis |
498.045 |
h |
407.820 |
es |
294.135 |
fis |
|||||
|
e |
697.263 |
h |
502.737 |
e |
403.128 |
gis |
294.135 |
h |
|||||
|
a |
697.263 |
e |
502.737 |
a |
398.436 |
cis |
298.827 |
e |
|||||
|
d |
697.263 |
a |
502.737 |
d |
393.744 |
fis |
303.519 |
a |
|||||
|
g |
697.263 |
d |
502.737 |
g |
389.052 |
h |
308.211 |
d |
|||||
|
c |
697.263 |
g |
502.737 |
c |
389.052 |
e |
308.211 |
g |
|||||
|
Intervall-bezeichnung |
Quotient |
Dezimal-zahl |
Centwert des Intervalls |
Frequenzbeispiele (Zahlen in Hz) |
|||||||||
|
|
|
|
|
|
|
|
|
||||||
|
Oktave |
2/1 |
2.0 |
1200.000 |
c |
525.8 |
>440.0< |
a |
||||||
|
gr.Septime |
4096/2187 |
1.8728852 |
1086.315 |
h |
492.3 |
412.0 |
gis |
||||||
|
kl.Septime |
16/9 |
1.7777778 |
996.090 |
b |
467.3 |
391.1 |
g |
||||||
|
gr.Sexte |
128x5Ö4/81x5Ö3 |
1.6738352 |
891.789 |
a |
>440.0< |
368.2 |
fis |
||||||
|
kl.Sexte |
128/81 |
1.5802469 |
792.180 |
gis |
415.4 |
347.7 |
f |
||||||
|
Quinte |
4x5Ö16/3x5Ö9 |
1.4959402 |
697.263 |
g |
393.2 |
329.1 |
e |
||||||
|
Tritonus |
1024/729 |
1.4046639 |
588.270 |
fis |
369.2 |
309.0 |
es |
||||||
|
Quarte |
4/3 |
1.3333333 |
498.045 |
f |
350.5 |
293.3 |
d |
||||||
|
gr.Terz |
512x5Ö2/243x5Ö27 |
1.2519787 |
389.052 |
e |
329.1 |
275.4 |
cis |
||||||
|
kl.Terz |
32/27 |
1.1851852 |
294.135 |
es |
311.5 |
260.7 |
c |
||||||
|
Ganzton |
16x5Ö8/9x5Ö81 |
1.1189185 |
194.526 |
d |
294.1 |
246.2 |
h |
||||||
|
Halbton |
256/243 |
1.0534979 |
90.225 |
cis |
276.9 |
231.8 |
b |
||||||
|
Grundton |
1/1 |
1.0 |
0.000 |
C |
262.9 |
220.0 |
a |
||||||
│
Abweichungen der
Tonstufen bei Modulationen (Zahlen in Cent)
in der Tabelle zur Graphik „Profil“:
