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Separate sections for generic/specific intervals
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Note that mosses with soft-of-basic step ratios always exhibit [[Rothenberg propriety]], or are ''proper'', whereas mosses with hard-of-basic step ratios do not, or are ''not proper'', with one exception: mosses with only one small step per period are always proper, regardless of the step ratio.
Note that mosses with soft-of-basic step ratios always exhibit [[Rothenberg propriety]], or are ''proper'', whereas mosses with hard-of-basic step ratios do not, or are ''not proper'', with one exception: mosses with only one small step per period are always proper, regardless of the step ratio.
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==Naming mos intervals==
==Naming mos intervals==
Mos intervals are named after the number of '''mossteps''' (L's and s's) they contain. An interval that is k mossteps wide is referred to as a ''k-mosstep interval'' or simply ''k-mosstep'' (abbreviated as ''k''ms). A mos's intervals are a 0-mosstep or [[1/1|''unison'']], followed by a 1-mosstep, then a 2-mosstep, and so on, until an n-mosstep interval equal to the ''period'' is reached, where n is thus the number of pitches in the mos per period. If a positive integer multiple of the period equals an octave, that interval can be referred to plainly as an octave if one prefers, but ''mosoctave'' should not be used unless there is exactly 7 notes per octave. The prefix of mos- in the term mosstep may be replaced with the mos's prefix, specified in the section mos pattern names.
Mos intervals are denoted by the number of '''mossteps''' they subtend. An interval that is k mossteps wide is called a ''k-mosstep interval'', or simply a ''k-mosstep'' (abbreviated ''k''ms). Mos intervals are 0-indexed, meaning that the unison is denoted as a 0-mosstep, rather than a 1-mosstep.


In contexts where it doesn't cause ambiguity, the term ''k-mosstep'' can be shortened to ''k-step'', which allows for generalizing terminology described here to non-mos scales.
The term "mosstep" can be further shortened to "step" if context allows.
 
This section's running example will be 3L 4s.


=== Generic mos intervals ===
=== Generic mos intervals ===
Generic mos intervals only denote how many mossteps an interval subtends.


===Specific mos intervals===
===Specific mos intervals===