Here’s a complementary palette featuring seven distinct, low-contrast colors that maintain good readability with black text:

 <Distinct Low Contrast Complementary Palette> 
1. Pale Lemon - 
          
          #E3EAB5
        - A soft, light yellow that adds a hint of warmth and cheerfulness.
2. Dusty Lavender - 
          
          #C6B2D6
        - A muted lavender that introduces a gentle elegance without overpowering.
3. Soft Aqua - 
          
          #A4D8E1
        - A light aqua that evokes a sense of calmness and refreshment.
4. Peachy Beige - 
          
          #F2D6B1
        - A warm, peach-toned beige that brings a cozy, inviting feel.
5. Mint Green - 
          
          #B9E1D8
        - A soft mint that adds a refreshing touch of nature without high contrast.
6. Light Coral - 
          
          #F2A6A1
        - A delicate coral that provides warmth while remaining subtle and soft.
7. Lilac Gray - 
          
          #D4C6E7
        - A gentle lilac-gray that adds depth and sophistication to the palette.

This palette consists of seven unique colors, each contributing to a harmonious and low-contrast aesthetic while ensuring that black text remains readable against them.

Does this palette align with your vision for your project? Would you like to explore specific applications or design strategies for using these colors?