A light emitting device (500, 530, 560), comprising: a light emitting diode, LED (510, 540, 570); and a recipient luminophoric medium (520, 550, 580) that is configured to down-convert at least some of the light emitted by the LED, the recipient luminophoric medium including at least: a first broad-spectrum luminescent material that down-converts a first portion of the radiation emitted by the LED to radiation having a peak wavelength in the red color range; and a first narrow-spectrum luminescent material (526, 556, 588) that down-converts a second portion of the radiation emitted by the LED; and a second broad-spectrum luminescent material (524, 554, 584, 586) that down-converts a third portion of the radiation emitted by the LED to radiation having a peak wavelength in a color range other than the red color range; and wherein the recipient luminophoric medium comprises: a first layer that includes the first broad-spectrum luminescent material (522, 552, 582) on the LED (510, 540, 570); a second layer that includes the second broad-spectrum luminescent material (524, 554, 584, 586) on the first broad-spectrum luminescent material (522, 552, 582) opposite the LED; and a third layer that includes the first narrow-spectrum luminescent material (526, 556, 588) on the second broad-spectrum luminescent material opposite the first broad-spectrum luminescent material. a light emitting diode, LED (510, 540, 570); and a recipient luminophoric medium (520, 550, 580) that is configured to down-convert at least some of the light emitted by the LED, the recipient luminophoric medium including at least: a first broad-spectrum luminescent material that down-converts a first portion of the radiation emitted by the LED to radiation having a peak wavelength in the red color range; and a first narrow-spectrum luminescent material (526, 556, 588) that down-converts a second portion of the radiation emitted by the LED; and a second broad-spectrum luminescent material (524, 554, 584, 586) that down-converts a third portion of the radiation emitted by the LED to radiation having a peak wavelength in a color range other than the red color range; and wherein the recipient luminophoric medium comprises: a first layer that includes the first broad-spectrum luminescent material (522, 552, 582) on the LED (510, 540, 570); a second layer that includes the second broad-spectrum luminescent material (524, 554, 584, 586) on the first broad-spectrum luminescent material (522, 552, 582) opposite the LED; and a third layer that includes the first narrow-spectrum luminescent material (526, 556, 588) on the second broad-spectrum luminescent material opposite the first broad-spectrum luminescent material. a first broad-spectrum luminescent material that down-converts a first portion of the radiation emitted by the LED to radiation having a peak wavelength in the red color range; and a first narrow-spectrum luminescent material (526, 556, 588) that down-converts a second portion of the radiation emitted by the LED; and a second broad-spectrum luminescent material (524, 554, 584, 586) that down-converts a third portion of the radiation emitted by the LED to radiation having a peak wavelength in a color range other than the red color range; and wherein the recipient luminophoric medium comprises: a first layer that includes the first broad-spectrum luminescent material (522, 552, 582) on the LED (510, 540, 570); a second layer that includes the second broad-spectrum luminescent material (524, 554, 584, 586) on the first broad-spectrum luminescent material (522, 552, 582) opposite the LED; and a third layer that includes the first narrow-spectrum luminescent material (526, 556, 588) on the second broad-spectrum luminescent material opposite the first broad-spectrum luminescent material.