Tightening systems for braces and other objects are provided, such as, a tightening system that comprises: a first housing having a first top surface a first set of lobes positioned on the first top surface, and including a first lobe wherein a first portion of the first top surface includes a first recessed path, wherein the first lobe and the first portion form an opening that is sized and dimensioned to receive a first sheave and wherein the first lobe includes a first gap a first set of sheaves including the first sheave, wherein the first sheave includes: a first cord receiving portion disposed between an upper wall and a lower wall of the first sheave, the first cord receiving portion sized and dimensioned to receive at least a portion of a cord and a first upper pin portion extending from the upper wall of the first sheave wherein the first gap of the first lobe is sized and dimensioned to receive the first upper pin portion such that the first sheave is rotatably secured at least partially between the first lobe and the first portion, capable of rotating about the first upper pin portion a second housing having a second top surface a second set of lobes positioned on the second top surface, and including a second lobe wherein a first portion of the second top surface includes a second recessed path, wherein the second lobe and the first portion of the second top surface form an opening that is sized and dimensioned to receive a second sheave and wherein the second lobe includes a second gap a second set of sheaves including the second sheave, wherein the second sheave includes: a second cord receiving portion disposed between an upper wall and a lower wall of the second sheave, the second cord receiving portion sized and dimensioned to receive at least a portion of the cord and a second upper pin portion extending from the upper wall of the second sheave wherein the second gap of the second lobe is sized and dimensioned to receive the second upper pin portio
