Cycle Composites

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Instrument

Alignment ? How years are stacked Trading day Session 1 over session 1. Ignores weekends and holidays entirely. Use when you care how far into the trading year we are. Calendar day 14 March over 14 March; non-trading days carry the last close forward. Use when you care about a date – an expiry, a tax deadline, "the September effect". Equity years run 250–253 sessions, so the two drift about a month apart by December.

Average ? How years are combined Mean The arithmetic average. What these tools normally show – but one 2008, 2020 or 2017 drags the whole curve. Median The middle year at every point. Describes the typical year and ignores the outlier. Bitcoin's mean composite peaks near +600% because 2013 ran +5,500%. Its median is nearer +115%.

Y axis ? What the vertical axis shows Percent Each year rebased to 0% at its own first bar – the only way to compare years directly. Price The same curves projected onto this year's opening price, so a composite becomes a price path in real units. Raw historical price cannot be overlaid at all: the Nasdaq 100 opened 1986 near 130 and 2026 near 25,000.

Period composites ? Two independent choices Sampling — Consecutive A block of N years in a row. A 5-year composite is 2021,2022,2023,2024,2025. Answers "what have recent years been doing". Sampling — Every Nth One year every N, sharing a phase. A 5-year composite is 2021,2016,2011,2006…. Answers "is there a cycle of this length". Anchor — Rolling Counts back from the current year, so the set moves every January. Anchor — Fixed Pinned to a year you choose. Consecutive takes the N years ending there; Every Nth takes every year in phase with it, in both directions. The two dimensions are independent, so there are four composites for each period length. Rolling + Every Nth is the same as a fixed anchor whose year shares the current year's phase.

Other curves

Custom years ? Bull and bear are computed, not curated A year is coloured by its own calendar-year return: green for a year that finished up, orange for one that finished down. Hover a year for the figure. The reference tool keeps a hand-written bull/bear list, which covers one instrument and goes stale. Taking the sign of the year is objective and works for gold and copper too – and on Bitcoin it recovers the conventional bear years (2014, 2018, 2022) without being told.