Quelle:
MEISTER, Seite 117 (Angabe ganzer Cent-Zahlen) T 64
Halbierung des
syntonischen Kommas
Verteilung
des pK º 23.46 cent Verteilung
des pK im Quintenzirkel
f
------ c 3/2 . 3/2
b -10.753
f
. .
es
-10.753 b - 1/2 sK c - 1/2 sK
gis +
41.058(!) es
f │ g
cis ------ gis .
│
.
fis -10.753 cis b
│
d
h -10.753
fis - 1/2sK │ - 1/2 sK
e ------
h . es───────┼────────a
.
a ------
e
│
d -10.753
a + kleine Diesis gis
│
e 3/2
g -10.753
d (128/125) .
│
.
c ------
g
cis │ h
================== 3/2
fis 3/2
- 23.460 . .
.
- 1/2 sK - 1/2 sK
|
Quinten |
|
Quarten |
|
Großterzen |
|
Kleinterzen |
|
|||||
f |
701.955 |
c |
498.045 |
f |
386.314 |
a |
315.641 |
c |
|||||
b |
691.202 |
f |
508.798 |
b |
386.314 |
d |
304.888 |
f |
|||||
es |
691.202 |
b |
508.798 |
es |
386.314 |
g |
304.888 |
b |
|||||
gis |
743.013 |
es |
456.987 |
gis |
427.372 |
c |
315.641 |
es |
|||||
cis |
701.955 |
gis |
498.045 |
cis |
427.372 |
f |
274.583 |
gis |
|||||
fis |
691.202 |
cis |
508.798 |
fis |
427.372 |
b |
263.830 |
cis |
|||||
h |
691.202 |
fis |
508.798 |
h |
427.372 |
es |
263.830 |
fis |
|||||
e |
701.955 |
h |
498.045 |
e |
386.314 |
gis |
315.641 |
h |
|||||
a |
701.955 |
e |
498.045 |
a |
386.314 |
cis |
315.641 |
e |
|||||
d |
691.202 |
a |
508.798 |
d |
386.314 |
fis |
304.888 |
a |
|||||
g |
691.202 |
d |
508.798 |
g |
386.314 |
h |
304.888 |
d |
|||||
c |
701.955 |
g |
498.045 |
c |
386.314 |
e |
315.641 |
g |
|||||
Intervall-bezeichnung |
Quotient |
Dezimal-zahl |
Centwert des Intervalls |
Frequenzbeispiele (Zahlen in Hz) |
|||||||||
|
|
|
|
|
|
|
|
||||||
Oktave |
2/1 |
2.0 |
1200.000 |
c |
528.0 |
>440.0< |
a |
||||||
gr.Septime |
15/8 |
1.875 |
1088.269 |
h |
495.0 |
412.5 |
gis |
||||||
kl.Septime |
4/Ö5 |
1.7888544 |
1006.843 |
b |
472.3 |
393.5 |
g |
||||||
gr.Sexte |
5/3 |
1.6666667 |
884.359 |
a |
>440.0< |
366.7 |
fis |
||||||
kl.Sexte |
25/16 |
1.5625 |
772.628 |
gis |
412.5 |
343.8 |
f |
||||||
Quinte |
3/2 |
1.5 |
701.955 |
g |
396.0 |
330.0 |
e |
||||||
Tritonus |
5xÖ5/8 |
1.3975425 |
579.471 |
fis |
369.0 |
307.5 |
es |
||||||
Quarte |
4/3 |
1.3333333 |
498.045 |
f |
352.0 |
293.3 |
d |
||||||
gr.Terz |
5/4 |
1.25 |
386.314 |
e |
330.0 |
275.0 |
cis |
||||||
kl.Terz |
6/5 |
1.2 |
315.641 |
es |
316.8 |
264.0 |
c |
||||||
Ganzton |
Ö5/2 |
1.1180340 |
193.157 |
d |
295.2 |
246.0 |
h |
||||||
Halbton |
25/24 |
1.0416667 |
70.673 |
cis |
275.0 |
229.2 |
b |
||||||
Grundton |
1/1 |
1.0 |
0.000 |
C |
264.0 |
220.0 |
a |
||||||