What is pink noise? The sound, the science, and the sleep studies

What pink noise is physically, how a pink noise generator works, what the deep sleep studies really tested, and what pink noise played all night does.

Updated September 25, 2026 · 10 min read

Pink noise is a random sound whose power falls as the pitch rises, in proportion to 1/f: minus 3 decibels per octave, so every octave carries the same share of power. It sounds softer and rounder than white noise, often compared to a waterfall. The famous "pink noise for deep sleep" results come from short pulses of pink noise timed to the sleeping brain by EEG equipment, not from a track playing all night. Studies of continuous pink noise at night are small and mixed, and the largest recent one found it reduced REM sleep.

This page goes deeper on pink noise alone. For how white, pink and brown noise compare, see our guide to white, pink and brown noise.

Pink noise, physically

The Sound On Sound glossary defines pink noise as "a random signal with a power spectral density which is inversely proportional to the frequency. Each octave carries an equal amount of noise power." In numbers:

  • 1/f: double the frequency and the power per hertz halves.
  • Minus 3 dB per octave, which is the same as minus 10 dB per decade (a decade is a tenfold step in frequency).
  • Equal power per octave: the octave from 100 to 200 Hz carries as much power as the octave from 5,000 to 10,000 Hz, even though the second is 50 times wider.

That's why pink noise sounds more even to the ear than white noise: we hear pitch in octaves, and pink noise gives each octave the same weight.

Where pink noise shows up. It's also called 1/f noise or flicker noise. An engineering textbook chapter on noise (Woolf, Engineering LibreTexts) notes that it is "evident in electrical circuits," for example as the excess noise in carbon composition resistors above their thermal noise. In a 1975 paper in Nature, Richard Voss and John Clarke wrote that the power spectrum of many fluctuating physical variables is "1/f-like," and reported that loudness fluctuations in music and speech, and pitch fluctuations in music, show 1/f spectra. That's about how music changes over time, not about the sound of music itself, but it's one reason pink noise is sometimes called the most "natural" color.

How a pink noise generator works

You can't record pink noise from nature on demand, so apps and generators make it from white noise:

  1. A pinking filter. White noise goes through a filter that takes away 3 dB per octave. In practice this is several simple filters added together, each covering part of the range.
  2. The Voss-McCartney algorithm. Several random sources are added up, each changing at half the rate of the one before, so the lower octaves get their share.

AI Meditation: Sleep & Calm uses the first method: its code runs Paul Kellet's "refined" pinking filter, which Robin Whittle's page on pink noise generation describes as "a weighted sum of first order filters" and dates to the music-dsp code archive in 1999. According to that page, Kellet stated that it is "accurate to within +/-0.05dB above 9.2Hz (44100Hz sampling rate)." The app plays its sounds at exactly that rate, 44,100 samples per second (from the app's code). Our reading: at the app's sample rate, the filter meets Kellet's stated accuracy from 9.2 Hz upward. We have not measured the sound from a phone speaker, which also shapes what you hear.

"Pink noise restorative sleep study": what was actually tested

Searches for "pink noise restorative sleep study" lead to one line of research: closed-loop acoustic stimulation. Here's how it works and what it found.

  • The method. Equipment reads your brain waves (EEG) while you sleep and plays short pulses of sound at the exact moment a slow wave of deep sleep is rising. A 2020 paper in Nature and Science of Sleep summarizes it: phase-locked pink noise stimulation "can amplify slow oscillatory activity." A 2013 study from the University of Tübingen in Neuron found that stimulation in phase with the slow oscillation enhanced it and improved memory consolidation, while stimulation out of phase did not.
  • In older adults. In a 2017 study of 13 adults aged 60 to 84, pulses of pink noise timed to slow waves increased slow-wave activity while the pulses played, though not over the whole night, and improved word recall the next morning. Our comparison guide describes this study.
  • The meta-analysis. A 2021 systematic review and meta-analysis in Sleep pooled 10 studies with 177 participants on acoustic slow-wave stimulation and memory. The combined effect was small (Hedges' g 0.25) and did not reach statistical significance (p = 0.07); only the subgroups with phase-locked stimulation reached significance. The authors concluded: "Currently, the evidence is not sufficient to recommend the use of commercially available devices."
  • A retraction. A 2022 meta-analysis in the Journal of Sleep Research that reported larger memory effects in young adults was retracted in 2026, according to its PubMed record. If you see it cited, it no longer counts.

The key point: all of this used pulses timed to your brain, not a continuous sound. Even a 2020 study of non-phase-locked pink noise, which increased the share of deep (N3) sleep in 8 participants, had a sleep technologist watching the recordings live and choosing when to play the sounds.

Continuous pink noise at night: what the studies found

When pink noise simply plays all night, as it would from an app, the results are small and point in different directions:

Study Who What they did What they found Limits
Kawada and Suzuki, 1993 1 young man, then 4 students Steady pink noise at 60 dB(A) Time to fall asleep tended to be shorter with the noise 5 people; 60 dB is about the level of normal conversation according to the WHO
Zhou et al., 2012 40 adults (night sleep), 10 (naps) One night or nap with steady pink noise, one quiet More "stable sleep time," estimated from heart and breathing signals Indirect sleep measure (from an ECG-based method)
Vickrey and Lerner, 2023 72 adults Wake, silent sleep, or sleep with open-loop pink noise at home, then an insight task No gain in insight with pink noise; less time in the first light-sleep stage (N1) after falling asleep One task; home headband recordings
Vincens et al., 2026 12 healthy adults Five nights in sound-isolated bedrooms, with traffic noise, pink noise at 45 dB, or both Pink noise reduced the sleep disruption and blood changes linked to traffic noise Pilot; the authors ask for cautious interpretation
Basner et al., 2026 (Sleep) 25 healthy adults Seven lab nights with environmental noise, pink noise at 40 or 50 dBA, earplugs and combinations Pink noise reduced REM sleep; adding it to environmental noise worsened sleep structure overall; earplugs prevented nearly all noise effects until 65 dBA Young, healthy group; lab setting
Basner et al., 2026 (Sleep Health) Same 25 adults Compared noise sources Pink noise reduced aircraft noise awakenings in a dose-dependent way but was outperformed by earplugs; a crying baby and a fire alarm were the most likely to wake people Same study, second analysis

Taken together: continuous pink noise may soften the effect of noise you can't control, like traffic. On a quiet night it isn't neutral, and earplugs did better in the largest study. The authors of the 2026 Sleep paper caution against "the widespread and indiscriminate use of broadband noise."

Pink noise vs white noise, and pink vs brown

In one line each (our comparison guide has the full table):

  • Pink vs white: white noise has equal power per hertz and sounds like a bright hiss; pink noise has equal power per octave and sounds softer. See white noise.
  • Pink vs brown: brown noise falls twice as fast, minus 6 dB per octave, and loses almost all of the hiss. See brown noise.

No study we found has shown one of the three to be better for sleep than the others.

What the app's pink noise sounds like

The app describes its pink noise as "softer and more balanced than white noise. A gentle, steady wash that many people find calming for sleep." That last part is a description of how people use it, not a study result. It's generated live on your phone, so there's no loop point, and you can set a timer from 5 to 90 minutes, after which it fades out and stops, or let it play until you stop it.

How to use pink noise for sleep

  1. Use it to mask something, like traffic or a snoring partner. In a quiet room, the 2026 lab study suggests it may do more harm than good.
  2. Keep it low. The recent studies used 40 to 50 dB. The WHO puts a library at about 40 dB and normal conversation at about 60 dB.
  3. Use a timer so it fades out after you fall asleep. In the 2026 lab study, the REM reduction came from pink noise playing through the night.
  4. Try earplugs if the noise you want to block is loud. They did better than pink noise in the largest study.
  5. Mind the volume for your hearing. The US National Institute on Deafness and Other Communication Disorders (NIDCD) says sounds at or below 70 dBA are unlikely to cause hearing loss even after long exposure; long or repeated exposure at or above 85 dBA can. The WHO suggests keeping your device's volume at no more than 60% of maximum.

Pink noise in the app

AI Meditation: Sleep & Calm has pink noise alongside white, brown, blue, violet and grey noise, and four soft tonal sounds: Deep tone, Warmth, Crystal and Resonance. There are no nature recordings like rain or ocean in the app. If you'd rather fall asleep to a voice, there are guided sleep meditations and sleep stories, read by AI voices. See how the app works, try it for free, no account needed.

Your health

This app is a wellness app and does not replace medical advice. If sleep problems last for weeks or affect your day, talk to a doctor. If you notice changes in your hearing, see a doctor as well. The NHS insomnia page explains when to see a GP about sleep.

Sources

All pages accessed on September 25, 2026.

Questions

Good to know

What is pink noise?

Pink noise is a random sound whose power falls as the frequency rises, in proportion to 1/f. That works out to minus 3 decibels per octave, so every octave carries the same amount of power. It sounds softer and rounder than white noise, often compared to a waterfall.

Is there a study showing pink noise improves deep sleep?

Yes, but not the way it's usually told. The studies that increased deep sleep brain waves played short pulses of pink noise timed to the brain's slow waves, using equipment that read the sleeper's EEG. A 2021 meta-analysis of that method found only a small, uncertain effect on memory and said the evidence was not sufficient to recommend commercial devices. A pink noise track playing all night is a different thing.

Is pink noise better than white noise for sleep?

No study has shown that. Many people find pink noise gentler because it has less hiss. In a 2026 sleep lab study of 25 healthy adults, pink noise played all night reduced REM sleep, and earplugs protected sleep from environmental noise better than pink noise did. Choose the sound you notice least at a low volume.

What is the difference between pink noise and brown noise?

Both lose power toward the high frequencies, brown noise twice as fast: minus 6 decibels per octave instead of minus 3. Pink noise still has a soft hiss on top; brown noise is mostly a low rumble. Our comparison guide and our brown noise page explain it in more detail.

How is pink noise generated?

Usually by filtering white noise so the power falls by 3 decibels per octave. A common method is a set of simple filters added together; another, the Voss-McCartney algorithm, adds up several random sources that change at slower and slower rates. The app uses a widely published filter by Paul Kellet.

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