Tarotalyze

Neptune tuning fork — 211.44 Hz

211.44 Hz is the tone of the planet Neptune: 164.8 years for one orbit. In tradition it stands for dreams, intuition, compassion and the dissolving of boundaries.

Neptune, imaged by Voyager 2
Neptune, imaged by Voyager 2 · NASA/JPL, public domain
Frequency (middle octave)211.44 Hz
NoteG# · +31 cents from standard tuning A = 440 Hz
Tuning in which this is an exact noteA = 448.02 Hz
Cycleorbit around the Sun164.8 years
Doublings from the cycle's frequency40
Color (the same frequency as light)orange · 645 nm
Paint on the Acutonics tuning forkturquoiseshade measured from photos in the school's catalog — this is NOT the computed colorcolor name “Sea Green” — school page · Acutonics Canada
What can be checkedReproducible

Neptune sits just one hertz away from the New Moon tone (210.42 Hz). Together they give an almost imperceptible pulsation, one “breath” roughly every second; ultra-slow pairs like this are used when what is wanted is not an effect but a background.

With Venus, Neptune gives 9.79 Hz, in the alpha range, and the method describes this pair as “self-worth plus dissolving fear”. The wording belongs to tradition, but the arithmetic underneath it is real.

How this number is obtained

middle fork band, 120–240 Hzstart8 doublings16 doublings24 doublings32 doublings211.44 Hz0.000 000 000 192 Hz: the frequency of the cycle itself40 doublings → note G#
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 the planet Neptune
164.8 years = 5 200 212 096 seconds
1The frequency of the cycle itself: how many times it repeats per second
1 ÷ 5 200 212 096 = 0.000 000 000 192 30the same in short form: 1.92 × 10⁻¹⁰ 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
0.000 000 000 192 30 × 2 = 0.000 000 000 384 601st doubling
0.000 000 000 384 60 × 2 = 0.000 000 000 769 202nd doubling
0.000 000 000 769 20 × 2 = 0.000 000 001 538 43rd doubling
⋮36 more doublings just like these
105.72 × 2 = 211.4440th doubling: now it is in the middle fork band
Or, in a single line:
0.000 000 000 192 30 × 2⁴⁰ = 211.44 Hz
where 2⁴⁰ = 1 099 511 627 776, the number of times the frequency has grown

The value Cousto published is 211.44 Hz. It matches.

3Which note it is
12 × log₂(211.44 ÷ 440) = −12.69semitones from A
nearest whole number: −13 = G#and that is the note
remainder: 0.31 of a semitone = 31 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
211.44 ÷ 2^(−13 ÷ 12) = 448.02 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
211.44 × 2⁴¹ = 464 952 504 742 849 Hzthat is 4.65 × 10¹⁴ Hz, already visible light
299 792 458 ÷ 464 952 504 742 849 = 645 nmwavelength → orange

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

OctaveFrequencyHow it is used
2^3726.43 Hzbelow or at the edge of hearing
2^3852.86 Hzbelow or at the edge of hearing
2^39105.72 Hzlow: stronger vibration on the body
2^40211.44 Hzthe main tuning fork
2^41422.87 Hzhigh: work in the field above the body
2^42845.74 Hzhigh: work in the field above the body

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What tradition ascribes

Tradition

Intuition, gentleness, dissolving 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.

Intervals with this tone

IntervalPairRatioDifference
Om / Neptune 5Om + Neptune1.55475.34 Hz