Quelle:
MEISTER, Seite 121 (Angabe Zehntel-Centzahlen) T 71
Fünfteilung des
syntonischen Kommas
Verteilung
des pK º 23.46 cent Verteilung
des pK im Quintenzirkel
f -
0.782 c ┌─────────────┐ - A . - 1/5 sK
b -
0.782 f │
A ist: │ . .
es -
0.782 b │ │
- A c - 1/5 sK
gis - 0.782
es │ 1/40 sK │ f │ g
cis - 0.782 gis
│ plus
│
. │ .
fis - 0.782 cis
│ 1/8 Schisma │ b │ d
h - 0.782
fis └─────────────┘ -
A │ - 1/5 sK
e - 0.782
h . es───────┼────────a .
a - 4.301
e
│
d - 4.301
a - A gis
│
e - 1/5 sK
g - 4.301
d . │ .
c - 4.301
g
cis │ h
================== - A
fis - A
- 23.460 . .
.
- A - A
|
Quinten |
|
Quarten |
|
Großterzen |
|
Kleinterzen |
|
|||||
f |
701.173 |
c |
498.827 |
f |
394.135 |
a |
307.038 |
c |
|||||
b |
701.173 |
f |
498.827 |
b |
397.654 |
d |
303.519 |
f |
|||||
es |
701.173 |
b |
498.827 |
es |
401.173 |
g |
300.000 |
b |
|||||
gis |
701.173 |
es |
498.827 |
gis |
404.692 |
c |
296.481 |
es |
|||||
cis |
701.173 |
gis |
498.827 |
cis |
404.692 |
f |
296.481 |
gis |
|||||
fis |
701.173 |
cis |
498.827 |
fis |
404.692 |
b |
296.481 |
cis |
|||||
h |
701.173 |
fis |
498.827 |
h |
404.692 |
es |
296.481 |
fis |
|||||
e |
701.173 |
h |
498.827 |
e |
404.692 |
gis |
296.481 |
h |
|||||
a |
697.654 |
e |
502.346 |
a |
401.173 |
cis |
296.481 |
e |
|||||
d |
697.654 |
a |
502.346 |
d |
397.654 |
fis |
300.000 |
a |
|||||
g |
697.654 |
d |
502.346 |
g |
394.135 |
h |
303.519 |
d |
|||||
c |
697.654 |
g |
502.346 |
c |
390.616 |
e |
307.038 |
g |
|||||
Intervall-bezeichnung |
Quotient |
Dezimal-zahl |
Centwert des Intervalls |
Frequenzbeispiele (Zahlen in Hz) |
|||||||||
|
|
|
|
|
|
|
|
||||||
Oktave |
2/1 |
2.0 |
1200.000 |
c |
525.4 |
>440.0< |
a |
||||||
gr.Septime |
10Ö157/40Ö273 |
1.8788165 |
1091.789 |
h |
493.6 |
413.3 |
gis |
||||||
kl.Septime |
5Ö15x20Ö2 |
1.7793846 |
997.654 |
b |
467.4 |
391.5 |
g |
||||||
gr.Sexte |
5Ö153/5Ö28 |
1.6749690 |
892.962 |
a |
>440.0< |
368.5 |
fis |
||||||
kl.Sexte |
5Ö152/10Ö29 |
1.5831047 |
795.308 |
gis |
415.9 |
348.3 |
f |
||||||
Quinte |
5Ö15/5Ö2 |
1.4962785 |
697.654 |
g |
393.1 |
329.2 |
e |
||||||
Tritonus |
5Ö153/20Ö237 |
1.4084760 |
592.962 |
fis |
370.0 |
309.9 |
es |
||||||
Quarte |
10Ö15x40Ö2 |
1.3339357 |
498.827 |
f |
350.4 |
293.5 |
d |
||||||
gr.Terz |
5Ö154/5Ö214 |
1.2531095 |
390.616 |
e |
329.2 |
275.7 |
cis |
||||||
kl.Terz |
10Ö153/40Ö237 |
1.1867923 |
296.481 |
es |
311.8 |
261.1 |
c |
||||||
Ganzton |
5Ö152/5Ö27 |
1.1194237 |
195.308 |
d |
294.1 |
246.3 |
h |
||||||
Halbton |
Ö15/8Ö215 |
1.0558795 |
94.135 |
cis |
277.4 |
232.3 |
b |
||||||
Grundton |
1/1 |
1.0 |
0.000 |
C |
262.7 |
220.0 |
a |
||||||