Why the usual answer is so short
A sign is easy to publish because it needs no calculation. Thirty degree bands mapped onto date ranges give a table anyone can copy, and that table has been copied for a very long time. It is correct on this date, since 6 October is nowhere near a boundary, but it stops at the coarsest layer available.
The degree takes an ephemeris and the decan takes one more step after that, so neither survives into the short version. What gets left out is the part that would actually separate one Libra birthday from another, and readers are handed adjectives instead.
The position and how firm it is
Across the years from 1930 to 2035 the noon figure on this date moves through a band of about one and a third degrees and no further. The leap year rule is what holds it there. Three common years let the Sun fall about a quarter of a day behind on any given date, the added day in February hands that back, and the position circles the same short stretch rather than wandering off it.
The practical value of the number is that aspects and houses need it. Whether your Sun sits at twelve degrees or fourteen decides which planets it contacts by exact angle, and once a birth time is known it decides which house the Sun falls in. Neither question can be answered by the sign name alone.
The decan, which almost nobody publishes
Each sign divides into three ten degree sections. Thirteen degrees of Libra sits in the middle one, running from ten to twenty, and every year in the range puts this date inside it. The Chaldean order of planets assigns that section to Saturn, which sits under Venus, the ruler of Libra as a whole.
Tradition draws a distinction from that pairing. The opening third of Libra is treated as the most purely Venusian stretch, the middle third as the one where the sign's comparative habit takes on rigour and holds to a measure, and the closing third, given to Jupiter, as the more expansive end. Those are readings laid over a position, and they are the layer a birthday page could offer and generally does not.
What is still missing after the date
The Moon covers about thirteen degrees in a day, so a birth in the morning and one at night on this date can place it in different signs. The rising sign is not narrowed at all, since every sign comes over the horizon during a full rotation and only the hour and the latitude pick one out. Together those two carry a great deal of what a chart is read for.
The widget above works from your year, your hour and your birthplace rather than from the calendar square, and it reports how far your Sun stood from the nearest sign boundary. On this date that distance is comfortable, which is worth knowing in itself: the answer was never close. Where a birthday sits near an ingress the same report is the only thing that settles the sign, so the figure is worth having either way.
Questions people ask about this
Is 6 October Libra or Scorpio?
Libra, in every year from 1930 to 2035. Scorpio does not begin until around the twenty third of the month, so this date has more than two weeks of margin and no year in the range comes close to the boundary.
What is the solar degree on 6 October?
Roughly twelve and a third to thirteen and two thirds degrees of Libra at noon, varying with the year. Your own value shifts slightly with the hour and the birthplace, which the widget above applies.
Why does every site say the same thing about this date?
Because the sign can be read off a fixed table while the degree and the decan require calculation. The short answer is not wrong here, it is simply the least detailed one available.
Which planet rules this part of Libra?
Venus rules the whole sign, and the second decan adds Saturn beneath it under the Chaldean sequence. Traditional readings apply both, treating the decan ruler as a modifier within the sign rather than a replacement.
Does the date tell me anything about my personality?
The tradition attaches descriptions to the sign and to the decan, and those descriptions are interpretations rather than measurements. The position itself is a checkable fact about where the Sun was, and nothing more than that.
How close is this birthday to a decan boundary?
Not close. Thirteen degrees sits near the middle of a band that runs from ten to twenty, so the decan holds in every year of the range regardless of hour or birthplace.