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=== Naming specific mos intervals ===
=== Naming specific mos intervals ===
The phrase ''k-mosstep'' by itself does not specify the exact size of an interval. To refer to specific intervals, the familiar modifiers of ''major'', ''minor'', ''augmented'', ''diminished'' and ''perfect'' are used. As mosses are [[Distributional evenness|distributionally even]], every interval (except for the [[1/1|unison]] and [[2/1|octave]]) will be in no more than two sizes.
The phrase ''k-mosstep'' by itself does not specify the exact size of an interval. To refer to specific intervals, the familiar modifiers of ''major'', ''minor'', ''augmented'', ''diminished'' and ''perfect'' are used. As mosses are [[Distributional evenness|distributionally even]], every interval (except for the [[1/1|unison]] and [[2/1|octave]]) will be in no more than two sizes.
{| class="wikitable"
 
|+Specific interval sizes for 3L 4s
The modifiers of ''major'', ''minor'', ''augmented'', ''perfect'', and ''diminished'' (abbreviated as M, m, A, P, and d respectively) are given as such:
! rowspan="2" | Interval
! colspan="2" |Large size (LsLsLss)
! colspan="2" |Small size (ssLsLsL)
|-
! Step pattern
!Sum
!Step pattern
!Sum
|-
|0-mosstep (unison)
|none
|'''0'''
|none
|'''0'''
|-
|1-mosstep
|L
|'''L'''
|s
|'''s'''
|-
|2-mosstep
|Ls
|'''L+s'''
|ss
|'''2s'''
|-
| 3-mosstep
|LsL
|'''2L+s'''
|ssL
|'''1L+2s'''
|-
|4-mosstep
|LsLs
|'''2L+2s'''
| ssLs
|'''1L+3s'''
|-
|5-mosstep
|LsLsL
|'''3L+2s'''
|ssLsL
|'''2L+3s'''
|-
|6-mosstep
| LsLsLs
|'''3L+3s'''
|ssLsLs
|'''2L+4s'''
|-
|7-mosstep (octave)
|LsLsLss
|'''3L+4s'''
|ssLsLsL
|'''3L+4s'''
|}The modifiers of ''major'', ''minor'', ''augmented'', ''perfect'', and ''diminished'' (abbreviated as M, m, A, P, and d respectively) are given as such:
*Integer multiples of the period, such as the unison and (often but not always) the octave, are '''perfect''' because they only have one size each.
*Integer multiples of the period, such as the unison and (often but not always) the octave, are '''perfect''' because they only have one size each.
*The generating intervals, or generators, are referred to as '''perfect'''. Note that a mos actually has two generators - a bright and dark generator - and both generators have two sizes each, specifically, the only time the less common size appears is at the end of the generator chain. For our running example of 3L 4s, the generators are a 2-mosstep and 5-mosstep (the following subsection explains how to find these). Referring to a mos's generating intervals usually implies its perfect form (a.k.a the common form); specifically:
*The generating intervals, or generators, are referred to as '''perfect'''. Note that a mos actually has two generators - a bright and dark generator - and both generators have two sizes each, specifically, the only time the less common size appears is at the end of the generator chain. For our running example of 3L 4s, the generators are a 2-mosstep and 5-mosstep (the following subsection explains how to find these). Referring to a mos's generating intervals usually implies its perfect form (a.k.a the common form); specifically:
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{| class="wikitable"
{| class="wikitable"
|+Names for mos intervals for 3L 4s
|+Names for mos intervals for 3L 4s
! Interval
! Interval classes
! Specific mos interval
! Specific intervals
! Interval size
!Abbreviation
!Abbreviation
! Interval size
!Gens up
!Gens up
|-
|-
|0-mosstep (unison)
|0-mosstep (unison)
|Perfect unison
|Perfect unison
| 0
|P0ms
|P0ms
| 0
|0
|0
|-
|-
| rowspan="2" |1-mosstep
| rowspan="2" |1-mosstep
|Minor mosstep (or small mosstep)
|Minor mosstep (or small mosstep)
|s
| m1ms
| m1ms
|s
| -3
| -3
|-
|-
|Major mosstep (or large mosstep)
|Major mosstep (or large mosstep)
|L
|M1ms
|M1ms
|L
|4
|4
|-
|-
| rowspan="2" |'''2-mosstep'''
| rowspan="2" |'''2-mosstep'''
|Diminished 2-mosstep
|Diminished 2-mosstep
|2s
|d2ms
|d2ms
|2s
| -6
| -6
|-
|-
| '''Perfect 2-mosstep'''
| '''Perfect 2-mosstep'''
|L+s
|P2ms
|P2ms
|L+s
|1
|1
|-
|-
| rowspan="2" |3-mosstep
| rowspan="2" |3-mosstep
|Minor 3-mosstep
|Minor 3-mosstep
|1L+2s
|m3ms
|m3ms
|1L+2s
| -2
| -2
|-
|-
|Major 3-mosstep
|Major 3-mosstep
|2L+s
|M3ms
|M3ms
|2L+s
|5
|5
|-
|-
| rowspan="2" |4-mosstep
| rowspan="2" |4-mosstep
|Minor 4-mosstep
|Minor 4-mosstep
|1L+3s
|m4ms
|m4ms
|1L+3s
| -5
| -5
|-
|-
| Major 4-mosstep
| Major 4-mosstep
|2L+2s
|M4ms
|M4ms
|2L+2s
|2
|2
|-
|-
| rowspan="2" | '''5-mosstep'''
| rowspan="2" | '''5-mosstep'''
|'''Perfect 5-mosstep'''
|'''Perfect 5-mosstep'''
| 2L+3s
|P5ms
|P5ms
| 2L+3s
| -1
| -1
|-
|-
|Augmented 5-mosstep
|Augmented 5-mosstep
|3L+2s
|A5ms
|A5ms
|3L+2s
|6
|6
|-
|-
| rowspan="2" |6-mosstep
| rowspan="2" |6-mosstep
|Minor 6-mosstep
|Minor 6-mosstep
|2L+4s
|m6ms
|m6ms
|2L+4s
| -4
| -4
|-
|-
|Major 6-mosstep
|Major 6-mosstep
|3L+3s
|M6ms
|M6ms
|3L+3s
|3
|3
|-
|-
|7-mosstep (octave)
|7-mosstep (octave)
| Perfect octave
| Perfect octave
|3L+4s
|P7ms
|P7ms
|3L+4s
|0
|0
|}
|}