Price · Bitcoin

The Golden Ratio Multiplier, explained

A ladder of Fibonacci multiples built on top of Bitcoin's 350-day moving average — how the bands are built, what each rung tells you about where price sits in a cycle, and why each cycle has topped out on a lower rung than the one before.

By Menno van Ravels, Founder of Blockchain DecodedUpdated 26 July 20266 min readFree to read
Baseline
350d MA

Bitcoin's 350-day moving average

Band ladder
7 bands

1.6× / 2× / 3× / 5× / 8× / 13× / 21×

History from
Jul 2010

the earliest Bitcoin price on record here

Reads as
Standalone

its own signal, not part of a score

CYCLE 1CYCLE 2CYCLE 321×13×1.6×350d MATIME →
Schematic — the shape of the ladder, not live data. 4 of 7 bands shown.
01

What is the Golden Ratio Multiplier?

A Bitcoin price chart built around one baseline — the 350-day moving average — with a ladder of multiples of that baseline plotted above it. Instead of one line where price might stall, you get seven: 1.6×, 2×, 3×, 5×, 8×, 13× and 21× the baseline value.

The idea is simple even though the ladder looks busy: as a bull market runs, price has historically stalled or reversed close to one of these specific multiplier lines rather than at some arbitrary round number. Which rung price is near at any given time is a rough read on how far into a cycle the market currently is.

02

Why the 350-day moving average as the baseline?

Every band on this chart is defined relative to a single line — Bitcoin's 350-day moving average, the average price over the last 350 days. Averaging that far back smooths out the weekly and monthly swings while still tracking the underlying multi-year trend, which is what a chart meant to span whole market cycles needs. Move the baseline and the entire ladder moves with it; nothing else on this chart is independent of it.

03

Why these specific multiples — 1.6, 2, 3, 5, 8, 13, 21?

These are Fibonacci-adjacent numbers, which is where "golden ratio" in the name comes from — as the sequence progresses, each step gets closer to 1.6× (the golden ratio, φ ≈ 1.618) the one before it, though the early steps (1.6→2, 2→3) are further off than that. The multiples were chosen because, historically, Bitcoin's price has tended to find resistance near one of these specific levels above the moving average rather than at round percentage gains.

What this is: a pattern drawn from a small number of past cycles, not a law derived from how markets work. The multiples earn their place from what they have measured historically, not from an underlying mechanism that guarantees they keep working.

04

Are all seven bands always plotted?

Not always. The three lower bands — 1.6×, and — are always drawn: on any date where the data source is missing one of them, we work the value out ourselves as the 350-day moving average times that multiplier, so those three lines never break.

The four upper bands — , , 13× and 21× are drawn only where the source has a figure for that date, rather than estimated. In practice the highest rungs are the ones least likely to matter for most of a cycle anyway, since price rarely gets close to them.

05

Has it actually caught Bitcoin's past cycle peaks?

The highest rung price has reached has been lower in each successive cycle — an early cycle touching one of the higher rungs, a later one stalling on a lower one. That fits a market that keeps getting bigger: the larger Bitcoin's total value, the harder the highest multiples are to reach. It is a pattern observed across a small number of completed cycles, not a rule.

It's descriptive, not predictive

The ladder is drawn from where price has already been, not a forecast of where it is going. Each cycle has stalled at a different rung — there is no rule that says which rung the next cycle stops at, or whether it stops at one at all.

The upper rungs are drawn only where there is data

The 1.6×, 2× and 3× bands are always on the chart: where the data source is missing a day, we work the value out ourselves from the 350-day moving average. The 5×, 8×, 13× and 21× bands are drawn only where the source has a figure for that date — a gap there is a gap in the data, not an estimate filled in.

It stands alone, not inside a composite

This reading is not one of the weighted inputs behind the Bitcoin or Ethereum Heatmeter score. It is a standalone read on price structure — useful next to the composite score rather than inside it.

Only a handful of cycles to learn from

Bitcoin has completed a small number of full cycles since this chart's history starts in mid-2010. A ladder fitted to three or four past peaks is a thin basis for predicting a fifth.

Seven rungs, one baseline — the ladder doesn't say which rung the next cycle stops on, only which rungs the last few stopped on.

Descriptive, not predictive
06

How do you read the live chart?

Watch which rung price is nearest, not just the top of the ladder. Price sitting below the 1.6× band and close to the 350-day moving average has historically marked the quiet stretch of a cycle, when long-term buyers build positions. Price climbing through the middle rungs is the normal shape of a bull run. Only late in a strong cycle does price get anywhere near the top of the ladder.

Switch bands off if the ladder gets crowded. On the live chart the 350d MA and all seven multiples can be switched off individually from the legend — the price line always stays on — which matters more here than on most charts given how many lines are stacked on top of each other.

07

Where it fits

The Golden Ratio Multiplier is a price-structure chart: it says nothing about activity on the blockchain, what holders are doing with their coins, or anything else. It measures one thing — price against multiples of its own long-run average — and does that one thing across the whole history of the chart.

It is not currently one of the weighted inputs behind the Bitcoin or Ethereum Heatmeter composite score. Read it as a standalone structural reference, useful for framing roughly where in a cycle price sits, and set it against the composite rather than inside it.

08

Common questions

What is the Golden Ratio Multiplier?

A Bitcoin price chart built on a single baseline — the 350-day moving average — with a ladder of multiples of that baseline plotted above it: 1.6×, 2×, 3×, 5×, 8×, 13× and 21×. As Bitcoin's price runs up through a bull market, it has historically stalled or reversed close to one of these multiplier lines, which is why the chart is used to frame where in a cycle price currently sits.

Why the 350-day moving average as the baseline?

Averaging the last 350 days of price smooths out the weekly and monthly swings while still tracking the broad multi-year trend, which is what a chart meant to span entire market cycles needs. Every band on this chart is defined relative to this one line — move the baseline and the whole ladder moves with it.

Why these specific multiples — 1.6, 2, 3, 5, 8, 13, 21?

They're Fibonacci-adjacent numbers, which is where the "golden ratio" in the name comes from — the gap between each rung and the one before it gets closer to 1.6× (the golden ratio, φ) the further up the ladder you go. They were chosen because, historically, price has tended to find resistance near one of these specific multiples rather than at arbitrary round numbers.

Are all seven band lines always plotted on the chart?

Not always. The lower three bands — 1.6×, 2× and 3× — are always drawn: where the data source is missing a day, we work the value out ourselves as the 350-day moving average times the multiplier. The upper four bands — 5×, 8×, 13× and 21× — are drawn only where the source has a figure, so a missing day shows as a gap rather than an estimate.

Has it actually caught Bitcoin's past cycle peaks?

The highest rung price has reached has fallen with each successive cycle — consistent with a bigger, more mature market making the highest multiples progressively harder to reach. That pattern has held across the small number of cycles Bitcoin has completed so far, which is not the same as a rule that will keep holding.

Is the Golden Ratio Multiplier part of the Bitcoin or Ethereum Heatmeter?

No. Neither the Bitcoin nor the Ethereum Heatmeter composite currently includes the Golden Ratio Multiplier as one of its weighted inputs. It exists on this platform as its own standalone chart.

09

Related guides

Others in price & cycle models — What price is doing relative to its own history, trend and long-run models.

Every indicator we track — the full glossary.

See the live ladder, not the schematic

Everything above is how the ladder is built. On the live Golden Ratio Multiplier chart you get all seven multiplier bands plotted against actual Bitcoin price on a log scale, which keeps the early years readable alongside today's prices. Every line switches on and off from the legend, and the chart updates daily — free with an account.