MOS substitution: Difference between revisions
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'''MOS substitution''' is a procedure for obtaining a ternary (3 step sizes) scale from two MOS patterns. It consists of taking one MOS pattern (called the template MOS), choosing a step size, and overwriting all instances of that step size using the step pattern of another MOS pattern (called the filling MOS). Unlike MV3 scales, a MOS substitution scale may have any combination of step sizes. | '''MOS substitution''' is a procedure for obtaining a ternary (3 step sizes) scale from two MOS patterns. It consists of taking one MOS pattern (called the template MOS), choosing a step size, and overwriting all instances of that step size using the step pattern of another MOS pattern (called the filling MOS). Unlike MV3 scales, a MOS substitution scale may have any combination of step sizes. | ||
The three standard [[diaslen]] scale patterns, denoted 4sL (LsLsLmLsLsm), 4sC (LmLsLsLmLss), and 4sR (LsLmLsLsLms), may be constructed via MOS substitution, giving [[generator sequence]]s for the three scales: | |||
{| class="wikitable" | |||
|+ diaslen scales as MOS substitution scales | |||
|- | |||
!rowspan=2| chirality | |||
!rowspan=2| filling MOS | |||
!rowspan=2| [[UDP]] for filling MOS | |||
!colspan=2| step pattern | |||
!colspan=2| [[generator sequence]] | |||
|- | |||
!| template MOS: | |||
|| <code>LXLXLXLXLXX</code> | |||
!| intvl. class of gen.: | |||
|| 2-steps | |||
|- | |||
| 4sC || <code>mssmss</code> || 4|0(2) | |||
|colspan=2 style="text-align:right;"| <code>LmLsLsLmLss</code> | |||
|colspan=2| GS('''L'''+'''m''', '''L'''+'''s''', '''L'''+'''s''') | |||
|- | |||
| 4sR || <code>smssms</code> || 2|2(2) | |||
|colspan=2 style="text-align:right;"| <code>LsLmLsLsLms</code> | |||
|colspan=2| GS('''L'''+'''s''', '''L'''+'''m''', '''L'''+'''s''') | |||
|- | |||
| 4sL || <code>ssmssm</code> || 0|4(2) | |||
|colspan=2 style="text-align:right;"| <code>LsLsLmLsLsm</code> | |||
|colspan=2| GS('''L'''+'''s''', '''L'''+'''s''', '''L'''+'''m''') | |||
|} | |||
Revision as of 07:15, 2 December 2025
MOS substitution is a procedure for obtaining a ternary (3 step sizes) scale from two MOS patterns. It consists of taking one MOS pattern (called the template MOS), choosing a step size, and overwriting all instances of that step size using the step pattern of another MOS pattern (called the filling MOS). Unlike MV3 scales, a MOS substitution scale may have any combination of step sizes.
The three standard diaslen scale patterns, denoted 4sL (LsLsLmLsLsm), 4sC (LmLsLsLmLss), and 4sR (LsLmLsLsLms), may be constructed via MOS substitution, giving generator sequences for the three scales:
| chirality | filling MOS | UDP for filling MOS | step pattern | generator sequence | ||
|---|---|---|---|---|---|---|
| template MOS: | LXLXLXLXLXX
|
intvl. class of gen.: | 2-steps | |||
| 4sC | mssmss |
4|0(2) | LmLsLsLmLss
|
GS(L+m, L+s, L+s) | ||
| 4sR | smssms |
2|2(2) | LsLmLsLsLms
|
GS(L+s, L+m, L+s) | ||
| 4sL | ssmssm |
0|4(2) | LsLsLmLsLsm
|
GS(L+s, L+s, L+m) | ||
