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Earth Day tuning fork — 194.18 Hz

194.18 Hz is the tone of a single day, the solar (synodic) day: the frequency of one rotation of the Earth on its axis, raised by twenty-four octaves. It is the most “daytime” sound in the set, and tradition links it to the root chakra and to the energy of the body.

The daytime side of the Earth, photographed by the EPIC camera. One rotation on its axis is 194.18 Hz
The daytime side of the Earth, photographed by the EPIC camera. One rotation on its axis is 194.18 Hz · NASA/GSFC, public domain
Frequency (middle octave)194.18 Hz
NoteG · −16 cents from standard tuning A = 440 Hz
Tuning in which this is an exact noteA = 435.92 Hz
CycleEarth's rotation on its axis24 hours (solar day)
Doublings from the cycle's frequency24
Color (the same frequency as light)orange-red · 700 nm
Paint on the Acutonics tuning forkdark greenshade measured from photos in the school's catalog — this is NOT the computed colorcolor name “Green” — school page · Acutonics Canada
What can be checkedReproducible

The day is a cycle people quite literally live by: sleep and waking, body temperature, hormones. Perhaps that is why this tone is credited with an invigorating effect, and, paired with Om (“Earth Day 5”), with bringing you back into a daytime rhythm.

The day has a second version, and it honestly gives a second frequency. The solar day lasts 24 hours and is a rotation relative to the Sun; the sidereal day is almost four minutes shorter, because the Earth moves on along its orbit in the meantime. The sidereal day gives 194.71 Hz. The difference can be heard: sounded together, the two tones beat about once every two seconds.

How this number is obtained

middle fork band, 120–240 Hzstart8 doublings16 doublings194.18 Hz0.000 011 6 Hz: the frequency of the cycle itself24 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 one Earth day
24 hours (solar day) = 86 400 seconds
1The frequency of the cycle itself: how many times it repeats per second
1 ÷ 86 400 = 0.000 011 574the same in short form: 1.16 × 10⁻⁵ 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
0.000 011 574 × 2 = 0.000 023 1481st doubling
0.000 023 148 × 2 = 0.000 046 2962nd doubling
0.000 046 296 × 2 = 0.000 092 5933rd doubling
⋮20 more doublings just like these
97.09 × 2 = 194.1824th doubling: now it is in the middle fork band
Or, in a single line:
0.000 011 574 × 2²⁴ = 194.18 Hz
where 2²⁴ = 16 777 216, the number of times the frequency has grown

The value Cousto published is 194.18 Hz. It matches.

3Which note it is
12 × log₂(194.18 ÷ 440) = −14.16semitones from A
nearest whole number: −14 = Gand that is the note
remainder: −0.16 of a semitone = −16 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
194.18 ÷ 2^(−14 ÷ 12) = 435.92 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
194.18 × 2⁴¹ = 427 007 964 669 203 Hzthat is 4.27 × 10¹⁴ Hz, already visible light
299 792 458 ÷ 427 007 964 669 203 = 702 nmwavelength → orange-red

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
2^2124.27 Hzbelow or at the edge of hearing
2^2248.55 Hzbelow or at the edge of hearing
2^2397.09 Hzlow: stronger vibration on the body
2^24194.18 Hzthe main tuning fork
2^25388.36 Hzhigh: work in the field above the body
2^26776.72 Hzhigh: work in the field above the body

Two values, and both are “official”

which day: solar, 24 hours → 194.18 Hz (Cousto) and sidereal, 23 h 56 min → 194.71 Hz (Cousto, on a separate row).

The solar day is a rotation relative to the Sun, the sidereal day a rotation relative to the stars; the Earth moves on along its orbit in the meantime, and the difference adds up to almost four minutes.

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What tradition ascribes

Tradition

Vitality, being “here and now”, a firm footing. The root chakra.

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
Earth Day 5Om + Earth Day1.42758.08 Hz