Tarotalyze

Om tuning fork — 136.10 Hz

136.10 Hz is the tone of the Earth year and the best-known frequency in the whole system. It is called “Om” because it is close to the pitch at which that syllable is usually chanted, yet it comes not from chanting but from astronomy: the Earth goes around the Sun in 365.2422 days, and the frequency of that orbit, raised by octaves until it can be heard, is 136.10 Hz.

The whole Earth, the “Blue Marble”. Its orbit around the Sun is the Om tone
The whole Earth, the “Blue Marble”. Its orbit around the Sun is the Om tone · NASA/GSFC, public domain
Frequency (middle octave)136.10 Hz
NoteC# · −31 cents from standard tuning A = 440 Hz
Tuning in which this is an exact noteA = 432.10 Hz
CycleEarth's orbit around the Sun365.2422 days (tropical year)
Doublings from the cycle's frequency32
Color (the same frequency as light)blue-green · 501 nm
Paint on the Acutonics tuning forkgoldshade measured from photos in the school's catalog — this is NOT the computed colorcolor name “Gold” — school page · Acutonics Canada
What can be checkedReproducible

Of all the forks in the set, this is the one used most often: sessions open and close with it, and almost every interval in Acutonics is Om plus something else. The practical reason is simple: the tone is low and calm, and it does not grate on the ear even after a long time.

This, by the way, is where the famous “432 Hz” comes from. If you work out the tuning in which 136.10 Hz would be an exact C sharp, you get A = 432.1 Hz. There is nothing mystical about it: it simply follows from the fact that the Earth year does not divide evenly into twelve semitones. Historically, though, the “432 tuning” and the “Earth tone” are connected precisely through this number.

Oddly enough, there are three kinds of year, and they give slightly different frequencies. Cousto uses the tropical year, the year of the changing seasons; the sidereal year, measured against the stars, would give 136.0969 Hz, and the Julian year, the conventional 365.25 days astronomers use to measure long periods, 136.0993 Hz. The gaps are thousandths of a hertz and cannot be heard, and even in tables rounded to the hundredth all three years give the same 136.10.

How this number is obtained

middle fork band, 120–240 Hzstart8 doublings16 doublings24 doublings136.10 Hz0.000 000 031 7 Hz: the frequency of the cycle itself32 doublings → note C#
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 Earth year (Om)
365.2422 days (tropical year) = 31 556 926 seconds
1The frequency of the cycle itself: how many times it repeats per second
1 ÷ 31 556 926 = 0.000 000 031 689the same in short form: 3.17 × 10⁻⁸ 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
0.000 000 031 689 × 2 = 0.000 000 063 3781st doubling
0.000 000 063 378 × 2 = 0.000 000 126 762nd doubling
0.000 000 126 76 × 2 = 0.000 000 253 513rd doubling
⋮28 more doublings just like these
68.05 × 2 = 136.1032nd doubling: now it is in the middle fork band
Or, in a single line:
0.000 000 031 689 × 2³² = 136.10 Hz
where 2³² = 4 294 967 296, the number of times the frequency has grown

The value Cousto published is 136.10 Hz. It matches.

3Which note it is
12 × log₂(136.10 ÷ 440) = −20.31semitones from A
nearest whole number: −20 = C#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
136.10 ÷ 2^(−20 ÷ 12) = 432.10 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
136.10 × 2⁴² = 598 583 840 182 535 Hzthat is 5.99 × 10¹⁴ Hz, already visible light
299 792 458 ÷ 598 583 840 182 535 = 501 nmwavelength → blue-green

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
2^2917.01 Hzbelow or at the edge of hearing
2^3034.03 Hzbelow or at the edge of hearing
2^3168.05 Hzlow: stronger vibration on the body
2^32136.10 Hzthe main tuning fork
2^33272.20 Hzhigh: work in the field above the body
2^34544.41 Hzhigh: work in the field above the body

Two values, and both are “official”

which year to use: tropical, 365.2422 days → 136.10 Hz (Cousto, The Cosmic Octave booklet) and Julian, 365.25 days → 136.0993 Hz (astronomical convention).

“Year” means three different quantities: the tropical year (the seasons), the sidereal year (measured against the stars) and the Julian year (a conventional 365.25 days). For the Earth tone Cousto takes the tropical one; the Julian year gives a tone three thousandths of a hertz lower.

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What tradition ascribes

Tradition

Grounding, coming back to yourself, work with the heart. The base tone a session starts from.

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 unisonOm + Om1.0000.00 Hz
Om octavelow Om + Om2.00068.05 Hz
New Moon 5Om + New Moon1.54674.32 Hz
Full Moon 6Om + Full Moon1.67191.33 Hz
Earth Day 5Om + Earth Day1.42758.08 Hz
Zodiac 3Om + Zodiac1.26435.96 Hz
Om / Jupiter 4Om + Jupiter1.34947.48 Hz
Om / Venus 6Om + Venus1.62585.13 Hz
Om / Mars 2Om + Mars1.0638.62 Hz
Om / Neptune 5Om + Neptune1.55475.34 Hz