Where the position lands
Twenty three degrees is well into the last ten degree stretch of Gemini, which begins at twenty and runs to the change into Cancer at thirty. At noon in every year from 1930 to 2035 the Sun on 14 June has been inside that stretch, with no year close to either end.
That gives an unusually clean case: the sign is certain, the face is certain, and the only genuine disagreement concerns which planet the older tables put in charge of the face.
It is also a reminder that the schemes are not competing measurements. Nothing observable distinguishes a solar face from a Saturnian one, so the question is which table a reader is working from, not which table is correct.
The Chaldean answer
The Chaldean order lists the seven visible planets by apparent speed, from Saturn as the slowest to the Moon as the fastest, and assigns them to successive ten degree faces around the whole zodiac beginning with Mars in early Aries. Counting through, Gemini's final face falls to the Sun.
Because the sequence never restarts at a sign boundary, the pattern of rulers cuts across the signs rather than lining up with them. That is the feature that makes the Chaldean scheme feel arbitrary at first sight and also what makes it internally consistent.
The triplicity answer
The other approach keeps everything inside the element. Gemini is air, and the air signs in order are Gemini, Libra and Aquarius, so the three faces of Gemini borrow from those signs in turn. The last one borrows from Aquarius, whose ruler is Saturn in the traditional scheme and Uranus in the modern one.
The gap between a solar reading and a Saturnian one is about as wide as decan disagreements get. Neither can be tested, since a face is a division of a circle and not a body, so the sensible course is to name the scheme rather than to average them.
Practitioners tend to settle this by tradition rather than argument. Those working from Hellenistic and medieval sources generally take the Chaldean faces, while the triplicity scheme is common in later popular writing, and a page that quotes neither provenance is hard to place.
What the reader still has to supply
All of this concerns a single placement. The Moon covers about thirteen degrees a day, so a 14 June birth leaves it in one of two signs with the hour deciding, and most practitioners would treat that difference as larger than the face question.
The rising sign is undetermined altogether without a time and a place. The widget above takes both, along with the year, and returns the exact solar degree together with the margin between it and the nearest sign boundary.
Houses are undetermined too. The Sun's degree on 14 June is settled to within about a degree and a half, but which sector of the chart that degree occupies depends entirely on the time of birth and on where in the world it happened.
Questions people ask about this
Which decan ruler should I use for 14 June?
Whichever scheme you are reading in. The Chaldean order gives the Sun and the triplicity count gives Saturn through Aquarius. Mixing the two produces a contradiction rather than a richer reading.
How far into Gemini is 14 June?
About twenty three degrees, ranging from roughly twenty two point five to twenty three point nine at noon across the years sampled.
Can this date be Cancer?
No. The Cancer boundary is the June solstice, close to a week later, and the annual drift is far too small to bridge that gap.
Why do two schemes exist at all?
They come from different periods and different purposes. Both were preserved in the manuscript tradition and neither displaced the other, so both are still printed today.
Does Uranus belong in this?
Only in modern practice, where it is treated as the ruler of Aquarius alongside or instead of Saturn. Traditional sources use Saturn throughout.
Is the face more informative than the sign?
It is narrower, which is why it distinguishes one Gemini birthday from another. Whether it carries interpretive weight is a question of practice, and this site marks it as tradition.