Free 90° Dial / Uranian Midpoint Tree Calculator
This tool folds your entire chart into a single 90-degree quadrant, so planets that are square or opposite each other land on the same dial position as ones that are conjunct. It's the classic technique for spotting "midpoint trees" that a normal 360-degree wheel keeps scattered apart.How it works ↓
Fill in the details above and compute to see your result here.
The 90° dial folds the zodiac into a single 90-degree quadrant, so that a planet at 5° Aries, 5° Cancer, 5° Libra, and 5° Capricorn all land on the same dial position. This is the core technique of Uranian and Hamburg School astrology: it surfaces "midpoint trees", clusters of planetary midpoints stacking on the same sensitive degree.
One quadrant instead of four
The 90-degree dial takes the full 360-degree zodiac and folds it into a single 90-degree arc. A planet at 5 degrees Aries, 5 degrees Cancer, 5 degrees Libra, and 5 degrees Capricorn, all 90 degrees apart from each other, land on the exact same dial position, because square, opposition, and conjunction are treated as the same "hard aspect" family on this dial.
That folding is the whole trick: instead of checking four separate quadrants of a normal wheel for hard aspects, you check one position on the dial and see everything that's stacked there at once.
What a midpoint tree looks like
When several planetary midpoints land on or near the same dial degree, that stack is called a midpoint tree. On a standard 360-degree wheel these midpoints are scattered across up to four different quadrants and easy to miss entirely. On the 90-degree dial they pile up visibly in one place.
This is the core technique of Uranian astrology, also known as the Hamburg School, a tradition that also incorporates a set of hypothetical transneptunian points not used elsewhere in Western astrology.
Same math as midpoint-calculator and cosmobiology-chart
This tool, midpoint-calculator, and cosmobiology-chart all compute identical midpoints and identical hits, the underlying math doesn't change between them. What changes is vocabulary and school: this one uses the Uranian/Hamburg framing and dial layout, midpoint-calculator states the same hits in plain planet-pair language with no school attached, and cosmobiology-chart applies Ebertin's specific psychological/physiological interpretive lens to the same numbers.
If you're not specifically looking for Uranian technique or transneptunian points, midpoint-calculator gives you the same hit list without the school-specific framing.
Frequently Asked Questions
Do I need to know Uranian astrology to use this?
No, the dial itself is just a way of viewing midpoint hits. The Uranian tradition adds its own hypothetical points and interpretive style on top, but the underlying hits are the same ones midpoint-calculator shows in plain language.
What's the difference between this and cosmobiology-chart?
Same dial, same math. Cosmobiology-chart applies Ebertin's psychological/physiological interpretive school and skips the transneptunian points Uranian astrology adds; this tool keeps the Uranian/Hamburg framing.