signed_interval_class: Ordered pitch-class interval represented as interval class...

In musicMCT: Analyze the Structure of Musical Scales

Ordered pitch-class interval represented as interval class with sign

Description

Represents an ordered interval between two pitch-classes as a value between -edo/2 and edo/2, i.e. with an absolute value that matches its interval class as well as a sign (plus or minus) that disambiguates between the two OPCIs included in the interval-class. That is, C->D is 2 whereas C->B-flat is -2. Exactly half the octave is represented as a positive value.

Usage

signed_interval_class(x, edo = 12)

Arguments

x	Single numeric value, representing an ordered pitch-class interval
edo	Number of unit steps in an octave. Defaults to 12.

Value

Single numeric value

Examples

signed_interval_class(8)
signed_interval_class(6)
signed_interval_class(-6)
signed_interval_class(3*pi)

musicMCT documentation built on June 21, 2026, 9:06 a.m.