Step 1: Write down natal absolute longitudes
Count eastward from 0° Aries. The first degree of Taurus is 30°, the first of Cancer is 90°, and the first of Scorpio is 210°. Suppose an illustrative chart has a Sun at 13° Taurus and Venus at 25° Cancer. Their absolute longitudes are 43° and 115°. These are invented coordinates for arithmetic, not a claimed birth chart.
Step 2: Multiply and wrap
For H5, Sun = 43° × 5 = 215°, or 5° Scorpio. Venus = 115° × 5 = 575°. Subtract one full 360° circle to get 215°, also 5° Scorpio. The 72° natal separation is one fifth of a circle. Multiplication folds it into a conjunction. The natal Sun and Venus remain 72° apart; the derived labels are a second coordinate view.
| Point | Natal longitude | Multiply by five | H5 longitude |
|---|---|---|---|
| Sun | 43° · 13° Taurus | 215° | 215° · 5° Scorpio |
| Venus | 115° · 25° Cancer | 575° | 215° · 5° Scorpio |
The 72° distance is usually called a quintile in harmonic-astrology literature. The exact numerical folding is reproducible; the meaning assigned to a quintile is an interpretive choice.
Step 3: Inspect a close pair, including its orb
Exact numbers are unusual in actual charts. Suppose the H5 points are 2° apart. If the source separation is near 72°, it is about 0.4° from exact, because 2° ÷ 5 = 0.4°. Other multiples of 72° can lead to the same H5 result, so inspect the natal columns rather than naming every H5 conjunction simply a quintile. The site's list uses a fixed 3° derived conjunction orb and prints the measured distance for each pair.
Step 4: Return to the full chart
Record which bodies formed the match, their natal positions, and whether the birth time is verified. Then compare other chart factors if your tradition calls for them. A harmonic chart does not supply a new ephemeris date, transit, forecast, or evidence about personality. Interpretive schools disagree about whether to read derived signs and angles or focus primarily on close conjunctions. State the school or rule you use.
Moon, angles, and houses
The Moon's natal degree depends on the hour; the Ascendant and Midheaven also require place and time. A 1° uncertainty in a source longitude becomes a 9° uncertainty in H9 before wrapping. That is why a date-only sample cannot justify a precise high-harmonic Moon or angle. Our calculator omits the Moon and angles when birth time is unknown and never fabricates harmonic houses. For a chart with a known time, check the historical civil UTC offset rather than a present-day zone assumption.