Natural Tuning consists of the Pitch Reference Frequency and of pure intervals, whose frequency ratios are the quotients of natural numbers. All is based on the natural overtone series. Natural Tuning begins with 1 Hz and includes 432 HZ as well as 256 and 440 HZ.The Natural Tuning System consists of
An octave means the doubling of an frequency.
Row of octaves:
The Pitch Reference Frequencies are always
and bear reference to the traditonal 12 keynotes of western scales.
The second reference frequency could be 2 Hz.
Because 2 Hz belongs to the octavation of 1 Hz,
3 Hz is the next reference frequency for a pure scale.
4 Hz belongs to the octavation of 1 Hz. Next is 5 Hz and so on.....
Natural Tuning builds on scientific pitch, first proposed in 1713 by Joseph Sauveur. It is an absolute concert pitch standard which is based on middle C (C4) being set to 256 Hz rather than 261.62 Hz as in the common A440 pitch standard. I have expanded scientific pitch to the Scientific tuning system.
C is a symbol, which stands for the first note of a musical scale. C has no information about the real pitch. The frequenz of C is the important thing. We say: C has a frequency reference of 1 HZ. That is precise! The Concert pitch (A4) is 426,67 Hz. Another example: A is the first note. A has a frequency reference of 27 HZ. The Concert pitch (A4) is 432 Hz.
Concert pitch refers to the pitch reference to which a group of musical instruments are tuned for a performance. Concert pitch may vary from ensemble to ensemble, and has varied widely over musical history. In Scientific Tuning the concert pitch varies according to the reference frequency.