Is there a historical reason why the liturgical colour purple eventually replaced black to symbolize penance?

Is there a historical reason why the liturgical colour purple eventually replaced black to symbolize penance? This question does not have its' answer in the difference between the two forms of the Latin Rite as both rites employed the liturgical colour purple during the penitential season of Lent! >In the twelfth century, Pope Innocent III was the first to specify the colours of the vestments that were to be used for the Roman Rite; almost certainly this reflected prevailing custom in Rome, not an invention on his part. Although a separate subject from this article, it is well to remember that it was only towards the end of the 1st Millenium that the question of vestment colour became a significant one.Black was designated for penitential and funeral liturgies, but violaceus was indicated as a substitute for black. Pope Innocent’s treatise De sacro altaris mysterio (Book I, chapter 65, which was written before his election as pope in 1198) seems to be the first indication that violaceus had come to be regarded as a penitential colour for the Roman Rite. > >If the Royal Purple colour which emerged in Late Antiquity Europe as a substitute for Tyrian Purple incorporated what Innocent III refers to as violaceus how did it come to be regarded as a colour of Penance rather than Status? - The Saint Bede Studio Even the Lyon Rite chose to employ "Ashen" coloured vestment during Lent and not purple unless ash coloured vestments could not be obtained. >"Ash" colored vestments are utilized from Ash Wednesday until the Mass of the Lord's Supper exclusive. Where Ash is not available violet is used. And black comes out of the sacristy for Masses of the Dead and Good Friday. A parish could survive on only three or four sets of vestments. - The Rad Trad Can any historical reason be found as to how or why the liturgical colour purple eventually replaced the traditional black as a symbol of penance within the Catholic Church?