Saturn tuning fork — 147.85 Hz

147.85 Hz is the tone of Saturn: 29.46 years for one orbit. This is the cycle astrology calls the “Saturn return” and associates with the turning point at around thirty years of age.

Saturn with its rings, imaged by Cassini · NASA/JPL, public domain

Frequency (middle octave)	147.85 Hz
Note	D · +12 cents from standard tuning A = 440 Hz
Tuning in which this is an exact note	A = 443.05 Hz
Cycle	orbit around the Sun29.46 years
Doublings from the cycle's frequency	37
Color (the same frequency as light)	blue · 461 nm
Paint on the Acutonics tuning fork	brick redshade measured from photos in the school's catalog — this is NOT the computed colorcolor name “Copper Brown” — school page · Acutonics Canada
What can be checked	Reproducible

In tradition, Saturn is about structure, boundaries and bones; its tone is considered gathering and “strict”. The pair of Mars and Saturn gives a difference of only 3.13 Hz, a very slow pulsation described as “action within limits”.

As with all the others, the number can be checked directly: 29.457 Julian years give 147.85 Hz, correct to the hundredth.

How this number is obtained

The axis is logarithmic: each doubling raises the sound by exactly one octave. The pitch goes up, the note stays the same.

Given: the period of Saturn

29.46 years = 929 592 223 seconds

1The frequency of the cycle itself: how many times it repeats per second

1 ÷ 929 592 223 = 0.000 000 001 075 7the same in short form: 1.08 × 10⁻⁹ Hz

A tiny number that cannot be heard: human hearing starts at about 20 Hz. But it is a real frequency, and we can keep working with it.

2Raising it into the audible range: each doubling is one octave up

0.000 000 001 075 7 × 2 = 0.000 000 002 151 51st doubling

0.000 000 002 151 5 × 2 = 0.000 000 004 303 02nd doubling

0.000 000 004 303 0 × 2 = 0.000 000 008 605 93rd doubling

⋮33 more doublings just like these

73.92 × 2 = 147.8537th doubling: now it is in the middle fork band

Or, in a single line:

0.000 000 001 075 7 × 2³⁷ = 147.85 Hz

where 2³⁷ = 137 438 953 472, the number of times the frequency has grown

The value Cousto published is 147.85 Hz. It matches.

3Which note it is

12 × log₂(147.85 ÷ 440) = −18.88semitones from A

nearest whole number: −19 = Dand that is the note

remainder: 0.12 of a semitone = 12 centshow far the tone is from the note

One hundred cents make one semitone. Planetary frequencies almost never land exactly on a note: orbits know nothing about musical tuning.

4In which tuning it would be an exact note

147.85 ÷ 2^(−19 ÷ 12) = 443.05 Hz

An ordinary piano is tuned to A = 440 Hz. Here the tone gets a tuning of its own, and for the Om tone it is exactly the much-discussed 432 Hz.

5Color: the same frequency raised all the way to light

147.85 × 2⁴² = 650 245 230 889 013 Hzthat is 6.50 × 10¹⁴ Hz, already visible light

299 792 458 ÷ 650 245 230 889 013 = 461 nmwavelength → blue

Divide the speed of light by the frequency and you get the wavelength. This is a model, not the measured color of a planet, but the arithmetic is exactly the same as for sound.

Octave ladder

Octave	Frequency	How it is used
2^34	18.48 Hz	below or at the edge of hearing
2^35	36.96 Hz	below or at the edge of hearing
2^36	73.92 Hz	low: stronger vibration on the body
2^37	147.85 Hz	the main tuning fork
2^38	295.70 Hz	high: work in the field above the body
2^39	591.39 Hz	high: work in the field above the body

What tradition ascribes

Tradition

Structure, discipline, boundaries.

This is a system of correspondences, not the result of a measurement: controlled studies of planetary frequencies do not exist. We present the tradition because it exists and the practice is built on it — but we call it tradition.

All frequencies in one chart · how the calculation works · what has been proven