level (of satisfaction, disagreement, etc.)/unitary (scale)
You could refer to individual values, choices, or perhaps responses. Some scales have units (e.g., Rotten Tomatoes); however, in general a rating scale does not. Individual scales may have an implicit label: Rate your satisfaction on a scale of 1 to 10. I would say the values on these types of scales are usually unitless. As the other answer explains, we refer to the range or scale of, say, 1-10. So range of values for the collective.
For the dimension of Likert scales, I see level of agreement/disagreement used, since the scale is often used to measure agreement/disagreement with a statement. This explanation of the types of Likert scales (nominal, ordinal, etc.) may give you other suggestions.
The pH scale gives values as high as one-tenth (10-1)
of a mole of hydrogen ions per liter, to values as low as one
hundred-trillionth (10-14/) moles per liter. ref
On the whole, a Likert item is simply a statement that the respondent
is asked to evaluate by giving it a quantitative value on any kind
of objective dimension, with a level of agreement and/or disagreement
being the dimension most commonly used. ref.
The scale should be able to differentiate between the levels of
satisfaction on the various elements in the scale. Job
Satisfaction Scales for Effective Management
EA's answer prompted me to look for an adjective, if that is a necessity for the OP:
The Fatigue Severity Scale consists of nine items rated on a
Likert-type ... The Fatigue Severity Scale is considered an [sic]
unitary scale while the Fatigue Impact Scale is multidimensional. Fundamentals of Sleep Technology (2007) p.420
This scale measures the learners' preference for well-ordered vs.
ambiguous approaches to solving problems and managing details (12
items; Likert-type 6-point scale). This is a unitary scale (sample
items: “I don't like situations that ... Performance Improvement
Quarterly (2006) p.71