Quelle:
RATTE, Seite 236 (Angabe genauer Cent-Zahlen) T 117
Marin Mersenne, 1636 (gleichstufige
Temperatur mit einer reinen Terz)
Verteilung
des pK ≡ 23.46 cent Verteilung des pK im Quintenzirkel
f
+ 10.0185 c +41/96pK .
-43/96pK
b - 10.5075
f
. .
es + 4.8870 b -43/96pK c -1/96pK
gis - 5.3760
es
f │ g
cis -
5.3760 gis .
│ .
fis +
4.8870 cis b
│
d
h - 10.5075
fis +5/24pK │ -1/96pK
e + 10.0185
h . es───────┼────────a
.
a - 10.5075
e │
d - 0.2445
a -11/48pK gis
│
e -43/96pK
g - 0.2445
d . │ .
c - 10.5075
g
cis │ h
================== -11/48pK
fis +41/96pK
-
23.46000
. .
.
+5/24pK -43/96pK
|
|
Quinten |
|
Quarten |
|
Großterzen |
|
Kleinterzen |
|
|||||
|
f |
711.9735 |
c |
488.0265 |
f |
406.8420 |
a |
305.1315 |
c |
|||||
|
b |
691.4475 |
f |
508.5525 |
b |
396.5790 |
d |
294.8685 |
f |
|||||
|
es |
706.8420 |
b |
493.1580 |
es |
401.7105 |
g |
305.1315 |
b |
|||||
|
gis |
696.5790 |
es |
503.4210 |
gis |
406.8420 |
c |
289.7370 |
es |
|||||
|
cis |
696.5790 |
gis |
503.4210 |
cis |
391.4475 |
f |
305.1315 |
gis |
|||||
|
fis |
706.8420 |
cis |
493.1580 |
fis |
406.8420 |
b |
300.0000 |
cis |
|||||
|
h |
691.4475 |
fis |
508.5525 |
h |
391.4475 |
es |
300.0000 |
fis |
|||||
|
e |
711.9735 |
h |
488.0265 |
e |
406.8420 |
gis |
305.1315 |
h |
|||||
|
a |
691.4475 |
e |
508.5525 |
a |
401.7105 |
cis |
289.7370 |
e |
|||||
|
d |
701.7105 |
a |
498.2895 |
d |
396.5790 |
fis |
305.1315 |
a |
|||||
|
g |
701.7105 |
d |
498.2895 |
g |
406.8420 |
h |
294.8685 |
d |
|||||
|
c |
691.4475 |
g |
508.5525 |
c |
386.3160 |
e |
305.1315 |
g |
|||||
|
Intervall-bezeichnung |
Quotient |
Dezimal-zahl |
Centwert des Intervalls |
Frequenzbeispiele (Zahlen in Hz) |
|||||||||
|
|
|
|
|
|
|
|
|
||||||
|
Oktave |
2/1 |
2.0 |
1200.0000 |
c |
524.8 |
>440.0< |
a |
||||||
|
gr.Septime |
8Ö160 |
1.8858841 |
1098.2895 |
h |
494.9 |
414.9 |
gis |
||||||
|
kl.Septime |
4Ö10 |
1.7782794 |
996.5790 |
b |
466.6 |
391.2 |
g |
||||||
|
gr.Sexte |
8Ö125/8Ö2 |
1.6768144 |
894.8685 |
a |
>440.0< |
368.9 |
fis |
||||||
|
kl.Sexte |
Ö5/Ö2 |
1.5811388 |
793.1580 |
gis |
414.9 |
347.9 |
f |
||||||
|
Quinte |
8Ö55/8Ö27 |
1.4909223 |
691.4475 |
g |
391.2 |
328.0 |
e |
||||||
|
Tritonus |
4Ö125/4Ö32 |
1.4058533 |
589.7370 |
fis |
368.9 |
309.3 |
es |
||||||
|
Quarte |
8Ö57/2x8Ö32 |
1.3256382 |
488.0245 |
f |
347.8 |
291.6 |
d |
||||||
|
gr.Terz |
5/4 |
1.25 |
386.3160 |
e |
328.0 |
275.0 |
cis |
||||||
|
kl.Terz |
4Ö53/2xÖ2 |
1.1821770 |
289.7370 |
es |
310.2 |
260.1 |
c |
||||||
|
Ganzton |
Ö5/2 |
1.1180340 |
193.1580 |
d |
293.4 |
246.0 |
h |
||||||
|
Halbton |
4Ö5/Ö2 |
1.0573713 |
193.1580 |
cis |
277.5 |
232.6 |
b |
||||||
|
Grundton |
1/1 |
1.0 |
0.0000 |
C |
262.4 |
220.0 |
a |
||||||
Abweichungen der
Tonstufen bei Modulationen (Zahlen in Cent)
in der Tabelle zur Graphik „Profil“:
