B (in deutschen Sprachraum H) ist ein Zusammentreffen (fast) aller Tonarten der 12 Bezugsfrequenzen. Eine „Übertonart“, in sie alle versammelt sind:
256, 270, 288,300,320,352,360,384,400,432,450,480 HZ.
Im Allgemeinen wird für die übermäßige Quarte eine Ratio von 45/32 angenommen. Das wäre in der Tonart H ein F, hat dann aber eine Frequenz von 337,5. Das klingt auch in der Chromatik gut.
Bei einer Ratio von 22/15 hat der Ton F die Frequenz von 352 Hz. Wenn die übermäßige Quarte eine Ration von 45/32 hat, dann entfällt die Bezugsfrequenz für die F-Oktavtonreihe.
Aber immerhin: 11 Tonarten immer sind vorhanden. Das ist einzigartig.
Tone | Frequency Hz | Interval reference | Ratio | Interval |
---|---|---|---|---|
B-1 | 15 | B-1 15 Hz | 1/1 | prime |
A-1 | 27 | B-1 15 Hz | 9/5 | minor seventh |
A#-1 | 28,13 | B-1 15 Hz | 15/8 | major seventh |
B0 | 30 | B1 30 Hz | 1/1 | prime |
C1 | 32 | B1 30 Hz | 16/15 | minor second |
C#1 | 33,75 | B1 30 Hz | 9/8 | major second |
D1 | 36 | B1 30 Hz | 6/5 | minor third |
D#1 | 37,5 | B1 30 Hz | 5/4 | major third |
E1 | 40 | B1 30 Hz | 4/3 | perfect fourth |
F1 | 42,19 | B1 30 Hz | 45/32 | augmented fourth |
F#1 | 45 | B1 30 Hz | 3/2 | perfect fifth |
G1 | 48 | B1 30 Hz | 8/5 | minor sixth |
G#1 | 50 | B1 30 Hz | 5/3 | major sixth |
A1 | 54 | B1 30 Hz | 9/5 | minor seventh |
A#1 | 56,25 | B1 30 Hz | 15/8 | major seventh |
B1 | 60 | B1 60 Hz | 1/1 | prime |
C2 | 64 | B1 60 Hz | 16/15 | minor second |
C#2 | 67,5 | B1 60 Hz | 9/8 | major second |
D2 | 72 | B1 60 Hz | 6/5 | minor third |
D#2 | 75 | B1 60 Hz | 5/4 | major third |
E2 | 80 | B1 60 Hz | 4/3 | perfect fourth |
F2 | 84,38 | B1 60 Hz | 45/32 | augmented fourth |
F#2 | 90 | B1 60 Hz | 3/2 | perfect fifth |
G2 | 96 | B1 60 Hz | 8/5 | minor sixth |
G#2 | 100 | B1 60 Hz | 5/3 | major sixth |
A2 | 108 | B1 60 Hz | 9/5 16/9 | minor seventh |
A#2 | 112,5 | B1 60 Hz | 15/8 | major seventh |
B2 | 120 | B2 120 Hz | 1/1 | prime |
C3 | 128 | B2 120 Hz | 16/15 | minor second |
C#3 | 135 | B2 120 Hz | 9/8 | major second |
D3 | 144 | B2 120 Hz | 6/5 | minor third |
D#3 | 150 | B2 120 Hz | 5/4 | major third |
E3 | 160 | B2 120 Hz | 4/3 | perfect fourth |
F3 | 168,75 | B2 120 Hz | 45/32 | augmented fourth |
F#3 | 180 | B2 120 Hz | 3/2 | perfect fifth |
G3 | 192 | B2 120 Hz | 8/5 | minor sixth |
G#3 | 200 | B2 120 Hz | 5/3 | major sixth |
A3 | 216 | B2 120 Hz | 9/5 16/9 | minor seventh |
A#3 | 225 | B2 120 Hz | 15/8 | major seventh |
B3 | 240 | B3 240 Hz | 1/1 | prime |
C4 | 256 | B3 240 Hz | 16/15 | minor second |
C#4 | 270 | B3 240 Hz | 9/8 | major second |
D4 | 288 | B3 240 Hz | 6/5 | minor third |
D#4 | 300 | B3 240 Hz | 5/4 | major third |
E4 | 320 | B3 240 Hz | 4/3 | perfect fourth |
F4 | 337,5 | B3 240 Hz | 45/32 | augmented fourth |
F#4 | 360 | B3 240 Hz | 3/2 | perfect fifth |
G4 | 384 | B3 240 Hz | 8/5 | minor sixth |
G#4 | 400 | B3 240 Hz | 5/3 | major sixth |
A4 | 432 | B3 240 Hz | 9/5 16/9 | minor seventh |
A#4 | 450 | B3 240 Hz | 15/8 | major seventh |
B4 | 480 | B4 480 Hz | 1/1 | prime |
C5 | 512 | B4 480 Hz | 16/15 | minor second |
C#5 | 540 | B4 480 Hz | 9/8 | major second |
D5 | 576 | B4 480 Hz | 6/5 | minor third |
D#5 | 600 | B4 480 Hz | 5/4 | major third |
E5 | 640 | B4 480 Hz | 4/3 | perfect fourth |
F5 | 675 | B4 480 Hz | 45/32 | augmented fourth |
F#5 | 720 | B4 480 Hz | 3/2 | perfect fifth |
G5 | 768 | B4 480 Hz | 8/5 | minor sixth |
G#5 | 800 | B4 480 Hz | 5/3 | major sixth |
A5 | 864 | B4 480 Hz | 16/9 | minor seventh |
A#5 | 900 | B4 480 Hz | 15/8 | major seventh |
B5 | 960 | B5 960 Hz | 1/1 | prime |
C6 | 1024 | B5 960 Hz | 16/15 | minor second |
C#6 | 1080 | HB 960 Hz | 9/8 | major second |
D6 | 1152 | B5 960 Hz | 6/5 | minor third |
D#6 | 1200 | B5 960 Hz | 5/4 | major third |
E6 | 1280 | B5 960 Hz | 4/3 | perfect fourth |
F6 | 1350 | B5 960 Hz | 45/32 | augmented fourth |
F#6 | 1440 | B5 960 Hz | 3/2 | perfect fifth |
G6 | 1536 | B5 960 Hz | 8/5 | minor sixth |
G#6 | 1600 | B5 960 Hz | 5/3 | major sixth |
A6 | 1728 | B5 960 Hz | 9/5 16/9 | minor seventh |
A#6 | 1800 | B5 960 Hz | 15/8 | major seventh |
B6 | 1920 | B6 1920 Hz | 1/1 | prime |
C7 | 2048 | B6 1920 Hz | 16/15 | minor second |
C#7 | 2160 | B6 1920 Hz | 9/8 | major second |
D7 | 2304 | B6 1920 Hz | 6/5 | minor third |
D#7 | 2400 | B6 1920 Hz | 5/4 | major third |
E7 | 2560 | B6 1920 Hz | 4/3 | perfect fourth |
F7 | 2700 | B6 1920 Hz | 45/32 | augmented fourth |
F#7 | 2880 | B6 1920 Hz | 3/2 | perfect fifth |
G7 | 3072 | B6 1920 Hz | 8/5 | minor sixth |
G#7 | 3200 | B6 1920 Hz | 5/3 | major sixth |
A7 | 3456 | B6 1920 Hz | 9/5 16/9 | minor seventh |
A#7 | 3600 | B6 1920 Hz | 15/8 | major seventh |
B7 | 3840 | B7 3840 Hz | 1/1 | prime |
C8 | 4096 | B7 3840 Hz | 16/15 | minor second |