Golden-Ratio Multiplier

The chart plots Bitcoin's daily close as a single line, with seven Fibonacci-multiple bands of the 350-day moving average laid behind it. The lowest band starts at the 350DMA itself; six more bands rise from there at multiples of ×1.6, ×2, ×3, ×5, ×8, ×13, and ×21. The colour ramp runs cool to warm so the lower bands read as accumulation regimes and the upper bands read as late-cycle excess.

Today's spot is $78,199.03 against a 350-day MA of $96,275.93 — a multiple of 0.81×. That places the network in the Below ×1.6 band. Spot refreshes a few times a day in the browser; the 350-day MA itself is recomputed overnight against the full daily-close history.

The input is the daily Bitcoin USD close history (see data sources). For every day t:

350DMA(t) = mean(price[t−349..t])
band_k(t) = m_k × 350DMA(t) for m_k ∈ {1.6, 2, 3, 5, 8, 13, 21}

Band assignment at any date is the largest multiple m_k the live price is at or above. The chart's underlying data file ships only the 350DMA series; the band lines are reconstructed client-side from the seven multipliers, so a reader can swap the multiplier set without re-fetching. Full derivation lives on the methodology page.

The 350-day window is Swift-selected, not derived — he picked it because it produced the cleanest band alignment for the 2013 and 2017 cycle tops at the time of publication (April 2019). The multiplier set ×1.6/2/3/5/8/13/21 is a Fibonacci sequence with the golden ratio (≈ 1.618) rounded to ×1.6 at the lower end; it is a heuristic, not a model.

Read by band, not by dollar value. A move from one band to the next is a regime shift in the long-run cycle. Crossing above ×1.6 after a sustained accumulation stretch has historically marked the start of a bull phase; crossing below ×1.6 after extended time in the upper bands has marked the transition into bear-market capitulation. The upper bands — ×5, ×8, ×13, ×21 — are escalation zones, not mandatory targets; later cycles have broken back down well before reaching the band the prior cycle did.

The cycle-by-cycle peak multiplier is the chart's defining quantitative observation. Computing each cycle peak's price ÷ 350DMA inline (the 2011 and 2013-Apr anchors fall before the 350DMA's full warm-up window and are flagged as such in the table) shows the diminishing-returns pattern Swift first noted in 2019, extended through the two cycles he had not yet seen.

By peak multiplier, cycle by cycle:

• 08 Jun 2011 · Mt. Gox-era — spot $29.03, 350DMA $1.38, multiple 21.0× — band 7.
• 10 Apr 2013 — spot $161.19, 350DMA $19.70, multiple 8.18× — band 5.
• 29 Nov 2013 — spot $1,101.83, 350DMA $127.41, multiple 8.65× — band 5.
• 17 Dec 2017 — spot $19,423.58, 350DMA $3,563.12, multiple 5.45× — band 4.
• 14 Apr 2021 — spot $63,576.68, 350DMA $22,910.04, multiple 2.78× — band 2.
• 10 Nov 2021 — spot $67,145.37, 350DMA $43,926.00, multiple 1.53× — band 0.
• 14 Mar 2024 — spot $73,097.77, 350DMA $34,933.85, multiple 2.09× — band 2.

The trend is mechanical: each cycle has reached a smaller multiple of its 350-day MA than the cycle before it. Swift's June 2019 mapping framed the same observation forward-looking — “each cycle peak has been reaching a lower multiplier band” — and the two cycles that have completed since publication have continued the pattern. By that pattern, the next cycle peak would land below ×3, not above ×5.

The ×1.6 line — the golden-ratio band — does double duty. It marks both the upper edge of accumulation territory (when spot is below it) and the lower edge of the bull-cycle envelope (when spot is above it). Crossings in either direction have been sticky: 2015's upcross preceded the 2017 cycle peak; 2018's downcross marked the cycle bottom; 2019's upcross preceded the 2021 cycle peak; 2022's downcross marked the post-FTX bottom. Crossings inside a single quarter — single-day false signals — are rare on a 350-day MA.

The other six bands carry less reliable signal as cycle markers. Each was useful in one cycle and silent in the next. Treat the ×1.6 line as the most durable threshold on the chart and the higher bands as risk-framing rather than as triggers.

For a dollar-cost-averaging investor. Treat the sub-×1.6 band as the accumulation discount the chart surfaces, and the ×1.6 to ×3 range as the hold band. Most of Bitcoin's days have been spent below ×3; weekly buys naturally accumulate most heavily in the lower bands.

For a cycle-timing trader. The ×1.6 cross is the signal worth tracking. Pair it with at least two of Pi Cycle, MVRV‑Z, and the 200-week MA. Given the band-decay pattern documented above, the next cycle's peak band is more likely to be lower than 2021's than higher — sizing toward the upper bands as targets ignores the trend.

For a researcher. The 350DMA series is reproducible from the daily-close history; band reconstructions are the seven multipliers applied to that moving average. Window choice and multiplier rationale are documented on the methodology page.

The 350-day window and Fibonacci multipliers are post-hoc fits, not derivations. Philip Swift's June 2019 piece (Medium, 17 Jun 2019) presents the multipliers as “the mathematically organic nature of Bitcoin adoption”, mapping past cycle tops to specific bands. The mapping fits well enough to be useful — but it is curve-fitting on three cycles, not a model derived from first principles. Tim Stolte of Amdax framed the broader category critique in a 2022 post on Bitcoin power-law fits: “there's no logic or wisdom there, just pure guesswork and picking whatever looks nice” (Amdax / Medium, 2 Sep 2022). The same caveat applies here: pretty bands fit on small samples don't survive forever.

The upper bands have gone silent since 2017. Swift's “mapping” was historical (×21 / ×13 / ×8 / ×5) — but no cycle since publication has reached even ×5. The ×8, ×13, and ×21 bands are now scenery, not operational thresholds. Matt Crosby summarised the broader 2024 situation: long-cycle indicators “remained untested” this cycle (Crosby, Dec 2025). The Golden-Ratio's silence is consistent with the category-wide silence of long-window cycle indicators.

The four-year cycle scaffolding may be ending. If Lyn Alden and Matt Hougan are right that the structural drivers of Bitcoin's price are shifting from issuance halvings to ETF flows and global liquidity (Bitwise CIO memo, 23 Dec 2025), the band-decay pattern this chart surfaces may continue all the way down — to the point where the multiplier framework collapses into the ×1.6 line as the regime-marker and the higher bands are decorative. That is a possibility this chart cannot rule out.

Canonical questions from Google's “People also ask” block for bitcoin golden ratio multiplier, answered against the data on this page.