Other than scale-degree 7, do other scale degrees have names for their altered forms?

Question

In a major key, we have names for all seven scale degrees:

• Tonic
• Supertonic
• Mediant
• Subdominant
• Dominant
• Submediant
• Leading Tone

To this we can add the subtonic, scale-degree ♭7 that rests a whole step below tonic instead of the leading tone's half step. We might also say that we colloquially refer to ♭2 as the Neapolitan scale degree.

I'm wondering if there are names (however rarely used) for other altered scale degrees. Scale-degree 6, for instance, has two common forms, yet to my knowledge we call them both "submediant."

This reaches a point of diminishing returns very quickly—surely there's no name for the raised third scale degree in major, since that's just enharmonic to the subdominant—so I'm mostly curious on whether common alterations like ♭3 or ♭6 have specific names.

Answer 1

The Greek prefixes hypo- (literally below) and hyper- (literally above) are attached to those technical scale degree names to denote the lowering (hypo) or raising (hyper) of the scale degree by one-half step.

For example,

p.iv A Treatise on Harmony with Exercises: Part 1 Joseph Humfrey Anger, January 1, 1906 Boston Music Company

Answer 2

In Music Theory and Composition: A Practical Approach, Steven Stone names the forms of the 6th scale degree as "lowered submediant" and "raised submediant", but does not extend that logic to name an alteration to the 3rd scale degree as "lowered mediant".