Composition.Theory

This module contains functions for computing intervals and classifying chords.

Documentation

data Interval_name

Interval name.

Constructors

Interval_name Interval_quality Interval_number

Instances

Show Interval_name

Defined in Composition.Theory

Methods

showsPrec :: Int -> Interval_name -> ShowS

show :: Interval_name -> String

showList :: [Interval_name] -> ShowS

data Interval_number

Interval numbers.

Constructors

Prime

Second

Third

Fourth

Fifth

Sixth

Seventh

Instances

Enum Interval_number

Defined in Composition.Theory

Methods

succ :: Interval_number -> Interval_number

pred :: Interval_number -> Interval_number

toEnum :: Int -> Interval_number

fromEnum :: Interval_number -> Int

enumFrom :: Interval_number -> [Interval_number]

enumFromThen :: Interval_number -> Interval_number -> [Interval_number]

enumFromTo :: Interval_number -> Interval_number -> [Interval_number]

enumFromThenTo :: Interval_number -> Interval_number -> Interval_number -> [Interval_number]

Eq Interval_number

Defined in Composition.Theory

Methods

(==) :: Interval_number -> Interval_number -> Bool

(/=) :: Interval_number -> Interval_number -> Bool

Ord Interval_number

Defined in Composition.Theory

Methods

compare :: Interval_number -> Interval_number -> Ordering

(<) :: Interval_number -> Interval_number -> Bool

(<=) :: Interval_number -> Interval_number -> Bool

(>) :: Interval_number -> Interval_number -> Bool

(>=) :: Interval_number -> Interval_number -> Bool

max :: Interval_number -> Interval_number -> Interval_number

min :: Interval_number -> Interval_number -> Interval_number

Show Interval_number

Defined in Composition.Theory

Methods

showsPrec :: Int -> Interval_number -> ShowS

show :: Interval_number -> String

showList :: [Interval_number] -> ShowS

data Interval_quality

Interval qualities, allowing for up to three levels of augmentation.

Constructors

Thrice_diminished

Twice_diminished

Diminished

Minor

Perfect

Major

Augmented

Twice_augmented

Thrice_augmented

Instances

Show Interval_quality

Defined in Composition.Theory

Methods

showsPrec :: Int -> Interval_quality -> ShowS

show :: Interval_quality -> String

showList :: [Interval_quality] -> ShowS

accidental_semitones :: Accidental -> Int

Returns the number of semitones by which the accidental adjusts the pitch.

compute_interval_name :: Note_name -> Note_name -> Interval_name

Computes the interval between two note names.

invert_interval_name :: Interval_name -> Interval_name

Inverts the interval name.

semitones_from_c :: Note_name -> Int

Computes the number of semitones from C. C♭ is considered to be -1 semitone from C and B♯ 12 semitones from C.

steps_from_c :: Note_name -> Int

Computes the number of steps from C.