Operations on MOSes: Difference between revisions

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=== Parent MOS ===

Given a MOS pattern ''x''L ''y''s, its '''parent''' is obtained by merging pairs of large and small steps together into one single step. The unpaired steps, regardless of their size, become the parent scale's small step. This process creates a subset MOS, called so since its scale degrees are a subset of the original scale's degrees.

Given a MOS pattern ''x''L ''y''s, its '''parent''' is obtained by merging pairs of large and small steps together into one single step. The unpaired steps, regardless of their size, become the parent scale's small step. This process creates a ''subset MOS'', called so since its scale degrees are a subset of the original scale's degrees.

{| class="wikitable"

|+Example with 5L 2s and its parent of 2L 3s

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=== Daughter MOS ===

Given a MOS pattern ''x''L ''y''s, its '''daughters''' are obtained by splitting its large steps into two more smaller steps s and c, where the size of c is defined as c = L - s. This process creates a superset MOS, called so since the original scale's degrees can be found in the daughter scale.

Given a MOS pattern ''x''L ''y''s, its '''daughters''' are obtained by splitting its large steps into two more smaller steps s and c, where the size of c is defined as c = L - s. This process creates a ''superset MOS'', called so since the original scale's degrees can be found in the daughter scale.

{| class="wikitable"

|+Example with 5L 2s and its daughters of 5L 7s and 7L 5s

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=== Neutralization ===

Given a MOS pattern ''x''L ''y''s, '''neutralization''' is the process in which pairs of large and small steps are each replaced with two neutral mossteps, whose size is defined as n = (L+s) / 2, with respect to the original scale.

Given a MOS pattern ''x''L ''y''s, '''neutralization''' is the process in which pairs of large and small steps are each replaced with two neutral mossteps, whose size is defined as n = (L+s) / 2, with respect to the original scale. The resulting scale, after rearranging the steps, is also a MOS scale since it has two step sizes: the neutral steps and either the large step or small step, depending on which step size is left over.

{| class="wikitable"

|+Example with 5L 2s neutralized to 3L 4s

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 === Parent MOS ===
-Given a MOS pattern ''x''L ''y''s, its '''parent''' is obtained by merging pairs of large and small steps together into one single step. The unpaired steps, regardless of their size, become the parent scale's small step. This process creates a subset MOS, called so since its scale degrees are a subset of the original scale's degrees.
+Given a MOS pattern ''x''L ''y''s, its '''parent''' is obtained by merging pairs of large and small steps together into one single step. The unpaired steps, regardless of their size, become the parent scale's small step. This process creates a ''subset MOS'', called so since its scale degrees are a subset of the original scale's degrees.
 {| class="wikitable"
 |+Example with 5L 2s and its parent of 2L 3s
@@ Line 60: / Line 60: @@
 === Daughter MOS ===
-Given a MOS pattern ''x''L ''y''s, its '''daughters''' are obtained by splitting its large steps into two more smaller steps s and c, where the size of c is defined as c = L - s. This process creates a superset MOS, called so since the original scale's degrees can be found in the daughter scale.
+Given a MOS pattern ''x''L ''y''s, its '''daughters''' are obtained by splitting its large steps into two more smaller steps s and c, where the size of c is defined as c = L - s. This process creates a ''superset MOS'', called so since the original scale's degrees can be found in the daughter scale.
 {| class="wikitable"
 |+Example with 5L 2s and its daughters of 5L 7s and 7L 5s
@@ Line 98: / Line 98: @@
 === Neutralization ===
-Given a MOS pattern ''x''L ''y''s, '''neutralization''' is the process in which pairs of large and small steps are each replaced with two neutral mossteps, whose size is defined as n = (L+s) / 2, with respect to the original scale.
+Given a MOS pattern ''x''L ''y''s, '''neutralization''' is the process in which pairs of large and small steps are each replaced with two neutral mossteps, whose size is defined as n = (L+s) / 2, with respect to the original scale. The resulting scale, after rearranging the steps, is also a MOS scale since it has two step sizes: the neutral steps and either the large step or small step, depending on which step size is left over.
 {| class="wikitable"
 |+Example with 5L 2s neutralized to 3L 4s