Frequency Atlas

Paiste Planetary Gong — Platonic Year

172.06 Hz

Nearest note: F3, 26 cents below standard tuning

A planet gong pitch. Paiste tunes its Platonic Year gong to 172.06 Hz.

How well is this supported?

DerivedInstrument

Calculated from a measured value by a stated method. You can check the arithmetic. What the result means is a matter of interpretation.

This entry gives a typical pitch for an instrument. Real instruments vary.

What the four labels meanChecked against sources September 27, 2026

The button plays a plain tone. Start with the volume low. Phone and laptop speakers play low notes quietly; headphones or a speaker help.

Where this number comes from

Paiste tunes its Platonic Year gong to 172.06 Hz. The tuning comes from Hans Cousto's tables. Cousto took the Platonic year, the time the Earth's axis takes to complete one slow wobble, called the precession of the equinoxes. He used the traditional figure of 25,920 years. The measured rate of precession gives about 25,772 years. He doubled its frequency 47 times, until it became a tone people can hear. It is the longest cycle in the tuning tables on this site. Paiste names the gong by its lowest tone, F2 at 86.03 Hz. That is the same note one octave lower, which means half the frequency.

  1. Step 1. Start with the length of the cycle

    Precession of the equinoxes: 25,920 years (traditional figure).

  2. Step 2. Turn it into a frequency

    One divided by that many seconds is 1.22 × 10⁻¹² Hz. That is far too slow to hear.

  3. Step 3. Double it 47 times

    Doubling a frequency raises it by one octave: the same note, higher. After 47 doublings it is 172.06 Hz.

  4. Step 4. Name the note

    172.06 Hz is an F, 26 cents below standard tuning. A cent is one hundredth of the step between two neighboring piano keys. To play in tune with this tone, an instrument sets its A to 433.56 Hz instead of 440.

  5. Step 5. Keep doubling and the number lands in the range of light

    42 more doublings give the frequency of light with a wavelength of 396 nm, which is red-violet. This is arithmetic. It pairs a tone with a color; it does not show that the two are connected.

The method is Hans Cousto’s. Planet gongs explained walks through it and says what it does and does not show.

Facts

Frequency
172.06 Hz
Wavelength in air (20 °C)
1.99 m
Nearest note
F3, 26 cents below standard tuning
Kind of statement
Instrument
Filed under
Instruments & gongs

Tuning Data

The row for this tone in Hans Cousto’s tables, with the tempo and pendulum length that follow from it.

Cycle
Precession of the equinoxes
Length of the cycle
25,920 years (traditional figure)
Octaves up
47
Concert pitch (A)
433.56 Hz
Difference from A = 440 Hz
-25.51 cents
Tempo
80.65 beats per minute
Pendulum length
13.8 cm / 5.41 in
Color by octave
Red-Violet (396 nm / 792 nm)
Tempo and pendulum length, octave by octave
OctaveFrequencyOne cycleTempoPendulum
40tempo1.34 Hz743.93 ms80.65 BPM13.8 cm
412.69 Hz371.96 ms161.31 BPM3.4 cm
425.38 Hz185.98 msToo fast to countToo short to build
4310.75 Hz92.99 msToo fast to countToo short to build
4421.51 Hz46.50 msToo fast to countToo short to build
4543.02 Hz23.25 msToo fast to countToo short to build
4686.03 Hz11.62 msToo fast to countToo short to build
47tone172.06 Hz5.81 msToo fast to countToo short to build
Intervals built on this tone
RatioIntervalFrequencyNoteConcert ACents from 440
1/1Perfect unison172.06 HzF3433.56 Hz-25.51
81/80Syntonic comma174.21 HzF3438.98 Hz-4
531441/524288Pythagorean comma174.41 HzF3439.48 Hz-2.05
128/125Diesis176.19 HzF3443.97 Hz+15.55
648/625Greater diesis178.39 HzF3449.52 Hz+37.06
25/24Chroma179.23 HzF3451.63 Hz+45.16
16/15Diatonic semitone183.53 HzF#3436.51 Hz-13.78
10/9Minor whole tone191.18 HzG3429.18 Hz-43.11
9/8Major whole tone193.57 HzG3434.54 Hz-21.60
8/7Septimal whole tone196.64 HzG3441.44 Hz+5.66
6/5Minor third206.47 HzG#3437.50 Hz-9.87
5/4Major third215.08 HzA3430.15 Hz-39.20
4/3Perfect fourth229.41 HzA#3433.07 Hz-27.47
3/2Perfect fifth258.09 HzC4434.05 Hz-23.56
8/5Minor sixth275.30 HzC#4437.01 Hz-11.82
5/3Major sixth286.77 HzD4429.66 Hz-41.15
7/4Natural seventh301.11 HzD4451.15 Hz+43.32
16/9Pythagorean minor seventh305.88 HzD#4432.59 Hz-29.42
9/5Just minor seventh309.71 HzD#4437.99 Hz-7.91
15/8Major seventh322.61 HzE4430.64 Hz-37.24
2/1Octave344.12 HzF4433.56 Hz-25.51

Source notes

Cousto uses 25,920 years, the traditional figure (360 × 72). The measured rate of precession gives about 25,772 years, which would put the tone about 10 cents higher.

Source: Hans Cousto — Tuning Data / Sun Earth Moon Planets. View the source PDF, page 9.

License: CC BY-NC-ND 4.0, as stated in Stimmdaten.pdf (German edition), page 2.

Values are reproduced from Cousto’s tables. Tempo, pendulum length and interval tables are calculated by this site from those values.

See every tone in the tables: Open the tuning data reference.

Sources

More about the pitch

The same note in every octave

Each step doubles or halves the frequency. Tap one to hear it.

Entries close in pitch

Within 35 cents of this tone, in any octave. A cent is one hundredth of the step between two neighboring piano keys. Being close in pitch does not mean two things are connected.