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The difference

What proportion feels like.

Same content. Same structure. One side uses arbitrary values — spacing, type sizes, and colors that feel reasonable when you first write them. The other uses Renge's token system, derived from PHI and the Fibonacci sequence. Drag the slider.
Arbitrary: 16px gaps · Georgia · #4a9a6a · line-height 1.5
Renge: PHI-derived spacing · DM Serif Display · OKLCH · φ line-height
Oakland, California — 37.8044° N, 122.2712° W
The living city.
Coast redwood and salt marsh. Oak woodland and tidal estuary. Within the city limits of Oakland, a full spectrum of native plant communities persists — unchanged in type if not in scale from what the Ohlone lived among for 3,000 years.
52
parks & open spaces
7,700+
acres of open space
12
plant communities
The landscape
Five places to know.
Oakland sits on a gradient from salt marsh to ridge. In 20 minutes you can walk from tidal estuary to old-growth redwood corridor. Each zone has its own light, its own smell, its own biology.
Forest
Redwood Regional Park
1,619 ft peak
A cathedral of second-growth coast redwoods. The tallest trees in the East Bay canopy reach 150 feet. Streams run cold year-round beneath them.
Woodland
Joaquin Miller Park
960 ft
Named for the poet. Mixed eucalyptus and native oak-bay woodland. Madrone peels its bark every summer like clockwork.
Urban Tidal Lagoon
Lake Merritt
Sea level
A saltwater tidal lagoon at the heart of the city. The oldest official wildlife refuge in North America, designated 1870.
Oakland, California — 37.8044° N, 122.2712° W
The living city.
Coast redwood and salt marsh. Oak woodland and tidal estuary. Within the city limits of Oakland, a full spectrum of native plant communities persists — unchanged in type if not in scale from what the Ohlone lived among for 3,000 years.
52
parks & open spaces
7,700+
acres of open space
12
plant communities
The landscape
Five places to know.
Oakland sits on a gradient from salt marsh to ridge. In 20 minutes you can walk from tidal estuary to old-growth redwood corridor. Each zone has its own light, its own smell, its own biology.
Forest
Redwood Regional Park
1,619 ft peak
A cathedral of second-growth coast redwoods. The tallest trees in the East Bay canopy reach 150 feet. Streams run cold year-round beneath them.
Woodland
Joaquin Miller Park
960 ft
Named for the poet. Mixed eucalyptus and native oak-bay woodland. Madrone peels its bark every summer like clockwork.
Urban Tidal Lagoon
Lake Merritt
Sea level
A saltwater tidal lagoon at the heart of the city. The oldest official wildlife refuge in North America, designated 1870.
Arbitrary
Renge
Arbitrary
φ⁻¹
φ⁻²
Renge

The specifics

What actually changed.

Many of the values are close. Some are identical. The difference isn't any single number — it's that every number in the Renge system has a reason. Each token is derived from the same mathematical root. That coherence is what you feel before you can articulate it.
PropertyArbitraryRengeWhy
Space between cards16pxvar(--renge-space-4) = 20px5 × 4 (Fibonacci × base unit)
Section padding-top48pxvar(--renge-space-7) = 84px21 × 4 (Fibonacci × base unit)
Card padding20pxvar(--renge-space-4) = 20pxsame value, derived from the system
Gap inside card12pxvar(--renge-space-3) = 12pxsame value, derived from the system
Eyebrow font-size11pxvar(--renge-font-size-xs) ≈ 12.6px16px × φ⁻⁰·⁵
Body font-size14pxvar(--renge-font-size-base) = 16px16px base (φ⁰)
Heading font-size28pxvar(--renge-font-size-2xl) ≈ 67.8px16px × φ³
Line height (body)1.51.618φ — the golden ratio
Eyebrow letter-spacing0.08em0.12emtuned to the type system
Card border-radius8pxvar(--renge-radius-3)from the radius scale
Accent color#4a9a6aoklch(…) via profile tokenperceptually uniform OKLCH
Display typefaceGeorgia, serifDM Serif Displaychosen for PHI-proportioned letterforms
The arbitrary values are not wrong. A developer who writes gap: 16px and line-height: 1.5 is making reasonable choices. The Renge values aren't dramatically different. They are systematically different. Every step relates to every other step by the same ratio — the ratio that appears in nautilus shells, sunflower spirals, galaxy arms. That relationship produces coherence you feel before you understand it.
1 : 1.618033...
Scale6.0