A lathe includes a tool holder having a holder reference point, and a tool having a tool nose is attachable to the tool holder. A tool post has a tool post origin and mounting surfaces. An actuator is to adjust each of the mounting surfaces to an indexing position. A memory stores first distances between the tool post origin and the holder reference point of the tool holder mounted on the mounting surfaces, respectively. The memory stores instructions that when executed by a processor, cause the processor to perform operations. The operations include obtaining a second distance between the holder reference point and the tool nose of the attached tool, and estimating, based on the first distances and second distance, a third distance between the tool post origin and the tool nose of the attached tool to control the actuator.

A turret device having a configuration for obtaining required processing accuracy, includes: an indexing motor configured to pivotally index a turret tool; a turret shaft configured to transmit a rotation of the indexing motor; and a turret head coupled to the turret shaft on which multiple turret tools are mounted on a circumference, wherein the turret head includes a diaphragm-type base member coupled to the turret shaft, an inner diameter side of the base member is coupled to the turret shaft, and an outer diameter side of the base member is rotationally supported by a bearing fixed to a main body member of a turret.

An indexing system for a lathe tool holder comprises a lower housing assembly with a rotary driver shaft interfaced with a tool turret and rotatable by the tool turret, a rotary driver clutch secured to the rotary driver shaft, and an outer rotary comprising an internally threaded pocket. A rotary pusher with an externally threaded portion mates with the internally threaded pocket. Rotation of the rotary driver shaft causes the rotary pusher to move linearly without rotation. An upper housing assembly mounted on the lower housing assembly comprises a sawtooth connection for a multiple insert lathe tool holder head. A camshaft driver interfaces with the tool holder head and has a cam channel that circumscribes a path that is interfaced with a stationary cam pin. Linear movement of the rotary pusher causes rotation of the camshaft driver and thereby rotation and linear movement of the tool holder head.

An indexing system for a lathe tool holder comprises a lower housing assembly with a rotary driver shaft interfaced with a tool turret and rotatable by the tool turret, a rotary driver clutch secured to the rotary driver shaft, and an outer rotary comprising an internally threaded pocket. A rotary pusher with an externally threaded portion mates with the internally threaded pocket. Rotation of the rotary driver shaft causes the rotary pusher to move linearly without rotation. An upper housing assembly mounted on the lower housing assembly comprises a sawtooth connection for a multiple insert lathe tool holder head. A camshaft driver interfaces with the tool holder head and has a cam channel that circumscribes a path that is interfaced with a stationary cam pin. Linear movement of the rotary pusher causes rotation of the camshaft driver and thereby rotation and linear movement of the tool holder head.