a common space & database for harmonic overtones
THE OVERTONE SCALE
Tonic = C = green
Translation of the names of intervals from German into English:
NUMBER OF THE OVERTONE <> INTERVAL
1 <> Prime = Unison
2 <> Oktave = Octave
3 <> Duodezime = Octave plus fifth (12th)*
4 <> Bioktave = Octave plus octave (2nd octave)
5 <> Große Terz = Major third
6 <> Quinte = Fifth
7 <> natürl. kl. Sept = perfect minor seventh
8 <> Trioktave = 3rd octave
9 <> Große Sekunde = (3rd octave plus) major second
10 <> Große Terz = (3rd octave plus) major third
11 <> 11. Naturton = perfect (natural) eleventh
12 <> 12. Quinte = (3rd octave plus) fifth
13 <> 13. Naturton = perfect thirteenth
14 <> 14. Naturton = perfect fourteenth
15 <> große Septime = (3rd octave plus) major seventh
16 <> 4. Oktave = 4th octave
32 <> 5. Oktave = 5th octave
45 <> übermäßige Quarte = (5th octave plus) augmented fourth
64 <> 6. Oktave = 6th octave
INTERVALS BETWEEN THE OVERTONES
Quarte = fourth
kl. Terz = minor third
gr. Ganzton = large major second
kl. Ganzton = small major second
kl. Sekunde = minor second
vermin. Quinte = diminished fifth
gr. Sexte = major sixth
kl. Sexte = minor sixth
kl. Septime = minor seventh
(kl. = klein = minor / gr. = groß = major / vermin. = vermindert = diminished)
Explanation about 3 <> Duodezime = Octave plus fifth (12th):
Normal arithmetic tells us that 8 + 5 = 13 but the arithmetic of intervals shows us that 8ve + 5th = 12th. This is because the note at the top of the 8ve is repeated as the note at the bottom of the 5th.
WHY C = GREEN
Colors are higher octaves of tones.
The frequencies of the audible range of tones covers about 10 octaves (from about 20 Hz to 20 000 Hz).
The frequencies of the visible spectrum of colors covers one octave (from about 380 000 000 000 000 Hz to 760 000 000 000 000 Hz).
The name of the notes repeats from ovtave to octave.
The next higher octave is doubling the frequency of the tonic.
The note C with 128 Hz one octave higher is the note C with 256 Hz and 41 octave higher the note C with 563 000 000 000 000 Hz which we see as the color GREEN.
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