Certainly! Here’s a color palette that maintains #E6D1FD (Light Lavender) and #ABDCFC (Sky Blue), while avoiding any reddish or greenish tones. This palette focuses on soft, neutral, and cool shades to evoke apathetic emotions without introducing any warm hues.

json
{
  "palette_name": "Cool Neutral Apathy",
  "colors": [
    {
      "name": "Light Lavender",
      "hex_code": "
                            
                            #E6D1FD
                        "
    },
    {
      "name": "Sky Blue",
      "hex_code": "
                            
                            #ABDCFC
                        "
    },
    {
      "name": "Pale Periwinkle",
      "hex_code": "
                            
                            #D1D6E1
                        "
    },
    {
      "name": "Cool Gray",
      "hex_code": "
                            
                            #B7B7B7
                        "
    },
    {
      "name": "Soft Blue-Gray",
      "hex_code": "
                            
                            #A8B9C2
                        "
    },
    {
      "name": "Dusty Lilac",
      "hex_code": "
                            
                            #C8B7D1
                        "
    }
  ]
}

This palette features pale periwinkle, cool gray, soft blue-gray, and dusty lilac, all of which maintain a calm and subdued feel without introducing any reddish or greenish tones. This combination can effectively convey a sense of apathy and indifference.

If you need further modifications or have other themes in mind, feel free to ask!