Do your numbers follow the golden ratio? Type or load values — it measures and tells you.
What is this?
The golden ratio φ = 1.618 shows up in nature's spirals — shells, sunflowers, galaxies. This tool checks whether your numbers follow it.
① Type or load a list of values (or paste your own measurements). ② It divides each number by the one before it — those are the ratios shown below. ③ It tells you whether those ratios land on φ (or your own target). That verdict is the answer.
You bring the numbers; it tells you if they're golden. Try Fibonacci → watch the ratios settle onto φ. Or drag the dial to 1.613 and load Magnet ~1.613 to test your own number.
Values — type, add (＋), remove (✕)
Target dial
1.618
● on target · ● close · ● off — each chip is one pair's ratio
Presets — load & tweak
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Everything below is owner-only — enter the key to unlock. Everyone else just picks Hebrew or English above. Kept in this browser only, never shown.
Storage—
Volar never stops learning for disk — when this nears full, grow the Railway volume & raise MAX_KNOWLEDGE_ROWS.
Off = a clean chat. On = the band · tense · gematria · root · consensus · witness readout under each reply.
When Volar has to look something up, scan more sources and synthesise across them (via his own composer). Slower — up to a few minutes for the hard ones — but a fuller answer.