Quelle:
RATTE, Seite 263 (Angabe genauer Cent-Zahlen) T 121
Elias Nikolaus Ammerbach, 1571,
1583 (Interpretation 1)
Verteilung
des pK ≡ 23.46 cent Verteilung des pK im Quintenzirkel
(* Näherungswerte)
f
------ c 3/2 .
3/2
b -
6.000 f . .
es
------ b - 1/4 pK* c - 1/4 pK*
gis + 6.540
es
f │ g
cis ------ gis .
│
.
fis - 6.000 cis b
│
d
h - 6.000
fis 3/2 │ - 1/4 pK*
e ------
h . es───────┼────────a
.
a ------
e
│
d - 6.000
a + 1/4 pK* gis
│
e 3/2
g - 6.000
d . │ .
c ------
g
cis │ h
================== 3/2
fis 3/2
-
23.460
. .
.
- 1/4 pK* - 1/4 pK*
|
|
Quinten |
|
Quarten |
|
Großterzen |
|
Kleinterzen |
|
|||||
|
f |
701.955 |
c |
498.045 |
f |
395.820 |
a |
306.135 |
c |
|||||
|
b |
695.955 |
f |
504.045 |
b |
395.820 |
d |
300.135 |
F |
|||||
|
es |
701.955 |
b |
498.045 |
es |
401.820 |
g |
300.135 |
b |
|||||
|
gis |
708.495 |
es |
491.505 |
gis |
408.360 |
c |
300.135 |
es |
|||||
|
cis |
701.955 |
gis |
498.045 |
cis |
408.360 |
f |
293.595 |
gis |
|||||
|
fis |
695.955 |
cis |
504.045 |
fis |
408.360 |
b |
287.595 |
cis |
|||||
|
h |
695.955 |
fis |
504.045 |
h |
402.360 |
es |
293.595 |
fis |
|||||
|
e |
701.955 |
h |
498.045 |
e |
395.820 |
gis |
306.135 |
h |
|||||
|
a |
701.955 |
e |
498.045 |
a |
395.820 |
cis |
306.135 |
e |
|||||
|
d |
695.955 |
a |
504.045 |
d |
395.820 |
fis |
300.135 |
a |
|||||
|
g |
695.955 |
d |
504.045 |
g |
395.820 |
h |
300.135 |
d |
|||||
|
c |
701.955 |
g |
498.045 |
c |
395.820 |
e |
306.135 |
g |
|||||
|
Intervall-bezeichnung |
Quotient |
Dezimal-zahl |
Centwert des Intervalls |
Frequenzbeispiele (Zahlen in Hz) |
|||||||||
|
|
|
|
|
|
|
|
|
||||||
|
Oktave |
2/1 |
2.0 |
1200.000 |
c |
525.2 |
>440.0< |
a |
||||||
|
gr.Septime |
243/128x100√2 |
1.8853240 |
1097.775 |
h |
495.0 |
414.8 |
gis |
||||||
|
kl.Septime |
16x200√2/9 |
1.7839498 |
1002.090 |
b |
468.4 |
392.5 |
g |
||||||
|
gr.Sexte |
27/16x100√2 |
1.6758436 |
893.865 |
a |
>440.0< |
368.7 |
fis |
||||||
|
kl.Sexte |
6561/4096x50√2 |
1.5797541 |
791.640 |
gis |
414.8 |
347.5 |
f |
||||||
|
Quinte |
3/2 |
1.5 |
701.955 |
g |
393.8 |
330.0 |
e |
||||||
|
Tritonus |
729/512x200√23 |
1.4091010 |
593.730 |
fis |
370.0 |
310.0 |
es |
||||||
|
Quarte |
4/3 |
1.3333333 |
498.045
|
f |
350.1 |
293.3 |
d |
||||||
|
gr.Terz |
81/64x100√2 |
1.2568827 |
395.820 |
e |
330.0 |
276.5 |
cis |
||||||
|
kl.Terz |
32x200√2/27 |
1.1892999 |
300.135 |
es |
312.3 |
261.6 |
c |
||||||
|
Ganzton |
9/8x200√2 |
1.1211078 |
197.910 |
d |
294.4 |
266.4 |
h |
||||||
|
Halbton |
2187/2048x50√2 |
1.0531694 |
89.685 |
cis |
276.5 |
236.7 |
b |
||||||
|
Grundton |
1/1 |
1.0 |
0.000 |
C |
262.6 |
220.0 |
a |
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Abweichungen der
Tonstufen bei Modulationen (Zahlen in Cent)
in der Tabelle zur Graphik „Profil“:
