Constant structure: Difference between revisions

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A [[scale]] is said to be a '''constant structure''' ('''CS''') if its [[interval class]]es are distinct. That is, each [[interval size]] that occurs in the scale always ~~[[subtend]]s~~ the same number of scale steps. This means that you never get something like an interval being counted as a fourth one place, and a fifth another place.

A [[scale]] is said to be a '''constant structure''' ('''CS''') if its [[interval class]]es are distinct. That is, each [[interval size]] that occurs in the scale always spans the same number of scale steps. This means that you never get something like an interval being counted as a fourth one place, and a fifth another place.

If a scale is a constant structure, that scale can be mapped to an [[isomorphic keyboard]] or similar isomorphic instrument such that each chord with the same interval structure can be played using the same fingering shape.

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== ~~Related~~ terminology ==

== Novel terminology ==

An interval that occurs in a scale is '''CS-consistent'''{{idiosyncratic}} if it always subtends the same number of scale steps. A scale is thus CS if and only if all its intervals are CS-consistent. This term could be useful because someone might only care about certain primes in a subgroup being CS-consistent.

An interval that occurs in a scale is ''CS-consistent''{{idiosyncratic}} if it always subtends the same number of scale steps. A scale is thus CS if and only if all its intervals are CS-consistent. This term could be useful because someone might only care about certain primes in a subgroup being CS-consistent.

== See also ==

* [[Gallery of CS Scales]]

* [[~~Scale~~ properties ~~simplified~~]]

* [[Glossary of scale properties]]

* [[epimorphic]]

* [http://tonalsoft.com/enc/c/constant-structure.aspx Constant structure] (Tonalsoft Encyclopedia)

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-A [[scale]] is said to be a '''constant structure''' ('''CS''') if its [[interval class]]es are distinct. That is, each [[interval size]] that occurs in the scale always [[subtend]]s the same number of scale steps. This means that you never get something like an interval being counted as a fourth one place, and a fifth another place.
+A [[scale]] is said to be a '''constant structure''' ('''CS''') if its [[interval class]]es are distinct. That is, each [[interval size]] that occurs in the scale always spans the same number of scale steps. This means that you never get something like an interval being counted as a fourth one place, and a fifth another place.
 If a scale is a constant structure, that scale can be mapped to an [[isomorphic keyboard]] or similar isomorphic instrument such that each chord with the same interval structure can be played using the same fingering shape.
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 |}
-== Related terminology ==
+== Novel terminology ==
-An interval that occurs in a scale is '''CS-consistent'''{{idiosyncratic}} if it always subtends the same number of scale steps. A scale is thus CS if and only if all its intervals are CS-consistent. This term could be useful because someone might only care about certain primes in a subgroup being CS-consistent.
+An interval that occurs in a scale is ''CS-consistent''{{idiosyncratic}} if it always subtends the same number of scale steps. A scale is thus CS if and only if all its intervals are CS-consistent. This term could be useful because someone might only care about certain primes in a subgroup being CS-consistent.
 == See also ==
 * [[Gallery of CS Scales]]
-* [[Scale properties simplified]]
+* [[Glossary of scale properties]]
 * [[epimorphic]]
 * [http://tonalsoft.com/enc/c/constant-structure.aspx Constant structure] (Tonalsoft Encyclopedia)