Music.Diatonic.Degree

This module implements scale degrees.

Documentation

data Degree

Use these constructors to create Degrees. To alter them, use the flat or sharp functions along with the $# operator.

Constructors

First

Second

Third

Fourth

Fifth

Sixth

Seventh

Instances

Eq Degree

Methods

(==) :: Degree -> Degree -> Bool

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

Ord Degree

Methods

compare :: Degree -> Degree -> Ordering

(<) :: Degree -> Degree -> Bool

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

(>) :: Degree -> Degree -> Bool

(>=) :: Degree -> Degree -> Bool

max :: Degree -> Degree -> Degree

min :: Degree -> Degree -> Degree

Show Degree

Methods

showsPrec :: Int -> Degree -> ShowS

show :: Degree -> String

showList :: [Degree] -> ShowS

Equiv Degree

Methods

equiv :: Degree -> Degree -> Bool

Nte Degree

Methods

noteMap :: (Note -> Note) -> Degree -> Degree

($#) :: (Note -> Note) -> Degree -> Degree

notePlus :: (Note -> Note -> b) -> Degree -> Degree -> b

class Eq n => Deg s n | s -> n where

Minimal complete definition

degrees, first

Methods

degrees :: s -> [(Degree, n)]

Returns all the naturally occuring Degrees in s, along with the element that corresponds to the Degree.

first :: s -> n

Returns the First Degree of s.

Instances

Deg Scale Note

Methods

degrees :: Scale -> [(Degree, Note)]

first :: Scale -> Note

Deg Chord Note

Methods

degrees :: Chord -> [(Degree, Note)]

first :: Chord -> Note

Deg Harmony Chord

Methods

degrees :: Harmony -> [(Degree, Chord)]

first :: Harmony -> Chord

degree :: Note -> Note -> Degree

Assuming n1 as the tonic, returns the Degree of n2.

from :: Degree -> Note -> Note

Returns the Note that corresponds to Degree d in a scale where the specified Note is the tonic.

second :: Deg s n => s -> Maybe n

Returns the Second Degree of s.

third :: Deg s n => s -> Maybe n

Returns the Third Degree of s.

fourth :: Deg s n => s -> Maybe n

Returns the Fourth Degree of s.

fifth :: Deg s n => s -> Maybe n

Returns the Fifth Degree of s.

sixth :: Deg s n => s -> Maybe n

Returns the Sixth Degree of s.

seventh :: Deg s n => s -> Maybe n

Returns the Seventh Degree of s.

tonic :: Deg s n => s -> n

An alias for first.

supertonic :: Deg s n => s -> Maybe n

An alias for second.

mediant :: Deg s n => s -> Maybe n

An alias for third.

subdominant :: Deg s n => s -> Maybe n

An alias for fourth.

dominant :: Deg s n => s -> Maybe n

An alias for fifth.

submediant :: Deg s n => s -> Maybe n

An alias for sixth.

subtonic :: (Deg s n, Nte n) => s -> Maybe n

An alias for seventh, but only if the Seventh is a Min7th above the tonic.

leadingTone :: (Deg s n, Nte n) => s -> Maybe n

An alias for seventh, but only if the Seventh is a Maj7th above the tonic.