Hobbled scale: Difference between revisions

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A '''hobbled scale''' is a [[scale]] created by reducing exactly one step of an existing scale pattern by a step size, ~~typically~~ resulting in a ~~[[ternary]]~~ scale that approximates the original pattern but fits into a different [[edo]]. The term ''hobbled'' derives from the metaphor of "hobbling" one of the step "legs" to be shorter than the other, analogous to how hobbling an animal restricts its movement by shortening one leg. This concept was explored and refined as an effort of TOTYW2025 in the Xenharmonic Alliance Discord.

A '''hobbled scale''' is a [[scale]] created by either reducing or increasing exactly one step of an existing scale pattern by some step size, resulting in a scale that approximates the original pattern but fits into a different [[edo]]. The term ''hobbled'' derives from the metaphor of "hobbling" one of the step "legs" to be shorter than the other, analogous to how hobbling an animal restricts its movement by shortening one leg. This concept was explored and refined as an effort of TOTYW2025 in the Xenharmonic Alliance Discord.

== Definition / algorithm ==

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# Reducing that step by the calculated difference

This results in a new pattern that fits into the target edo with one step shorter than in the original

This results in a new pattern that fits into the target edo with one step shorter than in the original.

== Examples ==

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-A '''hobbled scale''' is a [[scale]] created by reducing exactly one step of an existing scale pattern by a step size, typically resulting in a [[ternary]] scale that approximates the original pattern but fits into a different [[edo]]. The term ''hobbled'' derives from the metaphor of "hobbling" one of the step "legs" to be shorter than the other, analogous to how hobbling an animal restricts its movement by shortening one leg. This concept was explored and refined as an effort of TOTYW2025 in the Xenharmonic Alliance Discord.
+A '''hobbled scale''' is a [[scale]] created by either reducing or increasing exactly one step of an existing scale pattern by some step size, resulting in a scale that approximates the original pattern but fits into a different [[edo]]. The term ''hobbled'' derives from the metaphor of "hobbling" one of the step "legs" to be shorter than the other, analogous to how hobbling an animal restricts its movement by shortening one leg. This concept was explored and refined as an effort of TOTYW2025 in the Xenharmonic Alliance Discord.
 == Definition / algorithm ==
@@ Line 7: / Line 7: @@
 # Reducing that step by the calculated difference
-This results in a new pattern that fits into the target edo with one step shorter than in the original
+This results in a new pattern that fits into the target edo with one step shorter than in the original.
 == Examples ==