A light emitting device , comprising: a light emitting diode , LED ; and a recipient luminophoric medium 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 that down-converts a second portion of the radiation emitted by the LED; and a second broad-spectrum luminescent material 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 on the LED ; a second layer that includes the second broad-spectrum luminescent material on the first broad-spectrum luminescent material opposite the LED; and a third layer that includes the first narrow-spectrum luminescent material on the second broad-spectrum luminescent material opposite the first broad-spectrum luminescent material. a light emitting diode , LED ; and a recipient luminophoric medium 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 that down-converts a second portion of the radiation emitted by the LED; and a second broad-spectrum luminescent material 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 on the LED ; a second layer that includes the second broad-spectrum luminescent material on the first broad-spectrum luminescent material opposite the LED; and a third layer that includes the first narrow-spectrum luminescent material 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 that down-converts a second portion of the radiation emitted by the LED; and a second broad-spectrum luminescent material 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 on the LED ; a second layer that includes the second broad-spectrum luminescent material on the first broad-spectrum luminescent material opposite the LED; and a third layer that includes the first narrow-spectrum luminescent material on the second broad-spectrum luminescent material opposite the first broad-spectrum luminescent material. <EOS>