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The Quechua offerings in the South of Peru are banquets dedicated to the Pachamama and the Apus, and at the same time, are elaborated mathematical systems controlled by sophisticated operations. Using two principal numbers, 3 and 4, the religious specialist is capable of transmitting polysemic messages. Through the number 3, the religious specialist refers to the people, landscapes and mountains, in sum, to «persons» able to interact among themselves. The number 3 appears in the k'intus, composed of coca leaves, also in the prayers said during the process of the offering ritual. On the contrary, the number 4 does not indicate relationships but spatial forms: it is a geometrical operator that is constructed of the ceremonial square napkin (unk'uña) and paper in which the offering is completely wrapped to make the offering a miniature world, containing the «four directions of the world.» Using these numbers, the religious specialist can recreate the cosmos, establish covenants with the gods and define new situations favorable to the life of Quechuas. [ABSTRACT FROM AUTHOR]

One of the principal purposes of Q'eros music is to actively regenerate and re-create good relationships with the cosmos and the spirit world they believe in. In this paper, I explore how both the Q'eros' indigenous songs as well as their newly-adopted music and dance for Peru's largest pilgrimage, Qoyllurit'i, achieve efficacy of purpose through similar techniques of sound production and aesthetics. Even though the specific musical traits (structure, scale, and instrumentation) of both musical styles are significantly different, I address how Q'eros' musical production of both types share the same focus and serve the same end-goals, whether the ritual is an intimate one within the community or shared with thousands of other people from the greater region. In addition, the performance of both styles of music serve as specific identity markers for the Q'eros depending on their contextual use and the identity desired at the time. In other words, the Q'eros' musical choices allow them to shift identities between traditional Q'eros in their home community and misti (mestizo) in Qoyllurit'i. [ABSTRACT FROM AUTHOR]