The frequent repetition of the Kyrie denotes in general the ardor, perseverance and importunity with which, impelled by the consciousness of our sinfulness and unworthiness, we implore mercy and assistance; then there is also therein a still higher, mystical and hidden meaning; wherefore the number three is thrice repeated. The three Divine Persons are separately and consecutively invoked: first, the Father by the Kyrie eleison; then, the Son by the Christe eleison; and, finally, the Holy Ghost by the Kyrie eleison. The invocation of each of the Divine Persons is repeated exactly three times, to signify that with each of the Divine Persons the two others are at least virtually invoked, since by the fact of their mystical indwelling in one another (circuminsessio) all three of the Divine Persons are and live eternally in one another. Other meanings, founded rather in devotion than otherwise, have still been given to this ninefold cry for mercy; thus, for instance, the ninefold signification of the Kyrie is devoutly thought to refer to the nine kinds of sins and wants, or it has been said that thereby we express our desire of union with the nine choirs of angels.
I can't remember what document I read, but it said that in the very early masses, the choir would sing kyrie eleison then the Bishop would signal when he thought that enough had been sung.
I think the priest-server back-and-forth here, as well as the duplicative Confiteor, wherein the PRIEST asks the servers to pray for him, is evidence of a much less clericalized vision of liturgy, wherein the priest is one of many, as opposed to a lone performer with spectators.
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