Stimmungen

TeiltonFrequenz in HzFrequenz gS in HzFrequenz rS in HzTonname gSTonname rSFrequenz rS/gS in %
155,0055,0055,00aa100,00
2110,00110,00110,00aa100,00
3165,00164,81165,00ee100,11
4220,00220,00220,00aa100,00
5275,00277,18275,00cc♯99,21
6330,00329,63330,00ee100,11
7385,00392,00-gg98,22
8440,00440,00440,00aa100,00
9495,00493,88495,00bb100,23
10550,00554,37550,00c♯c♯99,21
11605,00587,33/622,25-d/d♯-103,01/97,23
12660,00659,26660,00ee100,11
13715,00698,46/739,99-f/f♯-102,37/96,62
14770,00783,99-g-98,22
15825,00830,61825,00g♯g♯99,32
16880,00880,00880,00aa100,00
17935,00932,33-a♯-100,29
18990,00987,77990,00bb100,23
191045,001046,50-c-99,86
201100,001108,731100,00c♯c♯99,21
211155,001174,66-d-98,33
221210,001244,51-d♯-97,23
231265,00-----
241320,001318,511320,00ee100,11
251375,001396,91-f-98,43
261430,00-----
271485,001479,98-f♯-100,34
281540,001567,98-g-98,22
291595,00-----
301650,001661,221650,00g♯g♯99,32
311705,00-----
321760,001760,001760,00aa100,00
331815,00-1815,00---
341870,001864,66-a♯-100,29
351925,00-1925,00---
361980,001975,531980,00bb100,23
372035,00-2035,00---
382090,002093,00-c-99,86
392145,00-2145,00---
402200,002217,462200,00c♯c♯99,21
412255,00-2255,00---
422310,00-2310,00---
432365,002349,322365,00dd100,67
442420,00-2420,00---
452475,002489,022475,00d♯d♯99,44
462530,00-----
472585,00-----
482640,002637,022640,00ee100,11

▤Sn1 Vergleich der gleichstufigen Stimmung (gS) mit der reinen Stimmung (rS) einer Oktavenschichtung.

Das erste a entspricht der Prime, alle anderen a entsprechen einer Oktave, das e entspricht der Quinte, das c♯ einer großen Terz, b einer großen Sekunde und g♯ einer großen Septime.

Die Spalte Frequenz gS in Hz zeigt die Frequenzen, die der Frequenz des Obertons ungefähr entsprechen. Die Spalte Frequenz rS in Hz zeigt nur die Frequenzen, die der Frequenz des Obertons exakt entsprechen (weil die reine Stimmung einen Zusammenhang mit Obertönen herleiten will).

Frequenzen der gleichstufigen Stimmung in Hz HalbtonschrittVerhältnis zur Prime
a13,7527,5055,00110,00220,00440,00880,001760,003520,007040,00Prime1,00
a♯14,5729,1458,27116,54233,08466,16932,331864,663729,317458,621. Halbtonschritt1,06
b15,4330,8761,74123,47246,94493,88987,771975,533951,077902,132. Halbtonschritt1,12
c16,3532,7065,41130,81261,63523,251046,502093,004186,018372,023. Halbtonschritt1,19
c♯17,3234,6569,30138,59277,18554,371108,732217,464434,928869,844. Halbtonschritt1,26
d18,3536,7173,42146,83293,66587,331174,662349,324698,649397,275. Halbtonschritt1,33
d♯19,4538,8977,78155,56311,13622,251244,512489,024978,039956,066. Halbtonschritt1,41
e20,6041,2082,41164,81329,63659,261318,512637,025274,0410548,087. Halbtonschritt1,50
f21,8343,6587,31174,61349,23698,461396,912793,835587,6511175,308. Halbtonschritt1,59
f♯23,1246,2592,50185,00369,99739,991479,982959,965919,9111839,829. Halbtonschritt1,68
g24,5049,0098,00196,00392,00783,991567,983135,966271,9312543,8510. Halbtonschritt1,78
g♯25,9651,91103,83207,65415,30830,611661,223322,446644,8813289,7511. Halbtonschritt1,89
a27,5055,00110,00220,00440,00880,001760,003520,007040,0014080,0012. Halbtonschritt2,00
Frequenzen der reinen Stimmung mit der Oktavenschichtung in Hz HalbtonschrittVerhältnis zur Prime
a13,7527,5055,00110,00220,00440,00880,001760,003520,007040,00Prime1,001/1
a♯14,6729,3358,67117,33234,67469,33938,671877,333754,677509,331. Halbtonschritt1,0716/15
b15,4730,9461,88123,75247,50495,00990,001980,003960,007920,002. Halbtonschritt1,139/8
c16,5033,0066,00132,00264,00528,001056,002112,004224,008448,003. Halbtonschritt1,206/5
c♯17,1934,3868,75137,50275,00550,001100,002200,004400,008800,004. Halbtonschritt1,255/4
d18,3336,6773,33146,67293,33586,671173,332346,674693,339386,675. Halbtonschritt1,334/3
d♯19,3438,6777,34154,69309,38618,751237,502475,004950,009900,006. Halbtonschritt1,4145/32
e20,6341,2582,50165,00330,00660,001320,002640,005280,0010560,007. Halbtonschritt1,503/2
f22,0044,0088,00176,00352,00704,001408,002816,005632,0011264,008. Halbtonschritt1,608/5
f♯22,9245,8391,67183,33366,67733,331466,672933,335866,6711733,339. Halbtonschritt1,675/3
g24,7549,5099,00198,00396,00792,001584,003168,006336,0012672,0010. Halbtonschritt1,809/5
g♯25,7851,56103,13206,25412,50825,001650,003300,006600,0013200,0011. Halbtonschritt1,8815/8
a27,5055,00110,00220,00440,00880,001760,003520,007040,0014080,0012. Halbtonschritt2,002/1

▤Sn2 Der Grundton und seine Obertöne.