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# The Harmonic Series #1-16, Fundamental A2, 110 Hz. Naturtonerækkens nr. 1-16, primærtone A, 110 Hz

ENGLISH/ DANSK:

The harmonic series is displayed in a visual structure, 'The Octave Spiral', which mirrors the musical content directly. The spiral clarifies the experience of the octave as a return to an already heard quality on a new level.
Mathematically the octave is constituted by the proportion 1: 2 (one to two) in frequency and wavelength.
In the video, the fundamental (first partial) is chosen to be A2 = 110 Hz.
The following frequencies are multiples of this value:
2x110 Hz, Hz 3x110, 4x110 Hz, ...

INTERVALS:
First octave:
1: 2, octave
Second octave:
2: 3, perfect fifth; 3: 4, perfect fourth
Third octave:
4: 5, major third; 5: 6, minor third; 6: 7, septimal third; 7: 8, septimal wholetone
Fourth Octave:
8: 9, wholetone; (9: 10: 11: 12: 13: 14: 15 - intervals between wholetone and semitone) 15:16, semitone

DANSK:
Naturtonerækken vises i en visuel struktur, oktavspiralen, som spejler det musikalske indhold direkte. Oktavspiralen klargør oplevelsen af oktaven som en tilbagevenden til en allerede hørt kvalitet på et nyt niveau.
Samtidig udgør oktaven proportionen 1:2 (ét til to) i frekvens og bølgelængde.
I videoen er primærtonen (første deltone) valgt til at være A= 110 Hz.
De følgende frekvenser er multipla af denne værdi:
2x110 Hz, 3x110 Hz, 4x110 Hz, …

INTERVALLER:
Første oktav:
1:2, oktav
Anden oktav:
2:3, ren kvint; 3:4 ren kvart
Tredje oktav:
4:5, stor terts; 5:6, lille terts; 6:7, septimal terts; 7:8, septimal heltone
Fjerde oktav:
8:9, heltone; (9:10:11:12:13:14:15 - intervaller mellem heltone og halvtone ) 15:16, halvtone

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