musicology-pitch-0.1.0.0

Copyright	Christoph Finkensiep 2021
License	BSD
Maintainer	chfin@chfin.de
Stability	experimental
Safe Haskell	None
Language	Haskell2010
Extensions	MonoLocalBinds TypeFamilies TypeSynonymInstances FlexibleInstances KindSignatures GeneralizedNewtypeDeriving ExplicitNamespaces

Musicology.Pitch.Midi

Contents

Interval types
Pitch types
Orphan instances

Description

This module defines pitch and interval types for enharmonic/chromatic pitch, (as used in MIDI). Midi intervals are just Ints.

Synopsis

Interval types

type MidiInterval = Int Source #

newtype MidiIC Source #

Constructors

Instances

Instances details

NFData MidiIC Source #

Instance details

Defined in Musicology.Pitch.Midi

Methods

rnf :: MidiIC -> () #

Num MidiIC Source #

Instance details

Defined in Musicology.MidiNumInstances

Methods

(+) :: MidiIC -> MidiIC -> MidiIC #

(-) :: MidiIC -> MidiIC -> MidiIC #

(*) :: MidiIC -> MidiIC -> MidiIC #

negate :: MidiIC -> MidiIC #

abs :: MidiIC -> MidiIC #

signum :: MidiIC -> MidiIC #

fromInteger :: Integer -> MidiIC #

Show MidiIC Source #

Instance details

Defined in Musicology.Pitch.Midi

Methods

showsPrec :: Int -> MidiIC -> ShowS #

show :: MidiIC -> String #

showList :: [MidiIC] -> ShowS #

Show MidiPC Source #

Instance details

Defined in Musicology.Pitch.Midi

Methods

showsPrec :: Int -> MidiPC -> ShowS #

show :: MidiPC -> String #

showList :: [MidiPC] -> ShowS #

Eq MidiIC Source #

Instance details

Defined in Musicology.Pitch.Midi

Methods

(==) :: MidiIC -> MidiIC -> Bool #

(/=) :: MidiIC -> MidiIC -> Bool #

Ord MidiIC Source #

Instance details

Defined in Musicology.Pitch.Midi

Methods

compare :: MidiIC -> MidiIC -> Ordering #

(<) :: MidiIC -> MidiIC -> Bool #

(<=) :: MidiIC -> MidiIC -> Bool #

(>) :: MidiIC -> MidiIC -> Bool #

(>=) :: MidiIC -> MidiIC -> Bool #

max :: MidiIC -> MidiIC -> MidiIC #

min :: MidiIC -> MidiIC -> MidiIC #

Hashable MidiIC Source #

Instance details

Defined in Musicology.Pitch.Midi

Methods

hashWithSalt :: Int -> MidiIC -> Int #

hash :: MidiIC -> Int #

Chromatic MidiIC Source #

Instance details

Defined in Musicology.Pitch.Midi

Methods

chromaticSemitone :: MidiIC Source #

Diatonic MidiIC Source #

Instance details

Defined in Musicology.Pitch.Midi

Methods

isStep :: MidiIC -> Bool Source #

Interval MidiIC Source #

Instance details

Defined in Musicology.Pitch.Midi

Associated Types

type ICOf MidiIC
Instance details Defined in Musicology.Pitch.Midi type ICOf MidiIC = MidiIC

Methods

ic :: MidiIC -> ICOf MidiIC Source #

octave :: MidiIC Source #

direction :: MidiIC -> Ordering Source #

iabs :: MidiIC -> MidiIC Source #

IntervalClass MidiIC Source #

Instance details

Defined in Musicology.Pitch.Midi

Associated Types

type IOf MidiIC
Instance details Defined in Musicology.Pitch.Midi type IOf MidiIC = MidiInterval

Methods

emb :: MidiIC -> IOf MidiIC Source #

Notation MidiIC Source #

Instance details

Defined in Musicology.Pitch.Midi

Methods

showNotation :: MidiIC -> String Source #

showNotationT :: MidiIC -> Text Source #

parseNotation :: ReadP MidiIC Source #

readNotation :: String -> Maybe MidiIC Source #

readNotationT :: Text -> Maybe MidiIC Source #

Notation MidiPC Source #

Instance details

Defined in Musicology.Pitch.Midi

Methods

showNotation :: MidiPC -> String Source #

showNotationT :: MidiPC -> Text Source #

parseNotation :: ReadP MidiPC Source #

readNotation :: String -> Maybe MidiPC Source #

readNotationT :: Text -> Maybe MidiPC Source #

ToMidi MidiIC Source #

Instance details

Defined in Musicology.Pitch.Midi

Methods

toMidi :: MidiIC -> Int Source #

ToMidi MidiPC Source #

Instance details

Defined in Musicology.Pitch.Midi

Methods

toMidi :: MidiPC -> Int Source #

AdditiveGroup MidiIC Source #

Instance details

Defined in Musicology.Pitch.Midi

Methods

zeroV :: MidiIC #

(^+^) :: MidiIC -> MidiIC -> MidiIC #

negateV :: MidiIC -> MidiIC #

(^-^) :: MidiIC -> MidiIC -> MidiIC #

VectorSpace MidiIC Source #

Instance details

Defined in Musicology.Pitch.Midi

Associated Types

type Scalar MidiIC
Instance details Defined in Musicology.Pitch.Midi type Scalar MidiIC = Int

Methods

(*^) :: Scalar MidiIC -> MidiIC -> MidiIC #

Num (Pitch MidiIC) Source #

Instance details

Defined in Musicology.MidiNumInstances

Methods

(+) :: Pitch MidiIC -> Pitch MidiIC -> Pitch MidiIC #

(-) :: Pitch MidiIC -> Pitch MidiIC -> Pitch MidiIC #

(*) :: Pitch MidiIC -> Pitch MidiIC -> Pitch MidiIC #

negate :: Pitch MidiIC -> Pitch MidiIC #

abs :: Pitch MidiIC -> Pitch MidiIC #

signum :: Pitch MidiIC -> Pitch MidiIC #

fromInteger :: Integer -> Pitch MidiIC #

type ICOf MidiIC Source #

Instance details

Defined in Musicology.Pitch.Midi

type ICOf MidiIC = MidiIC

type IOf MidiIC Source #

Instance details

Defined in Musicology.Pitch.Midi

type IOf MidiIC = MidiInterval

type Scalar MidiIC Source #

Instance details

Defined in Musicology.Pitch.Midi

type Scalar MidiIC = Int

mic :: Int -> MidiIC Source #

Pitch types

type MidiPitch = Pitch MidiInterval Source #

type MidiPC = Pitch MidiIC Source #

midip :: Int -> MidiPitch Source #

midipc :: Int -> MidiPC Source #

Orphan instances

Show MidiPitch Source #

Instance details

Methods

showsPrec :: Int -> MidiPitch -> ShowS #

show :: MidiPitch -> String #

showList :: [MidiPitch] -> ShowS #

Chromatic Int Source #

Instance details

Methods

chromaticSemitone :: Int Source #

Diatonic Int Source #

Instance details

Methods

isStep :: Int -> Bool Source #

Interval Int Source #

Instance details

Associated Types

type ICOf Int
Instance details Defined in Musicology.Pitch.Midi type ICOf Int = MidiIC

Methods

ic :: Int -> ICOf Int Source #

octave :: Int Source #

direction :: Int -> Ordering Source #

iabs :: Int -> Int Source #

Notation MidiInterval Source #

Instance details

Methods

showNotation :: MidiInterval -> String Source #

showNotationT :: MidiInterval -> Text Source #

parseNotation :: ReadP MidiInterval Source #

readNotation :: String -> Maybe MidiInterval Source #

readNotationT :: Text -> Maybe MidiInterval Source #

Notation MidiPitch Source #

Instance details

Methods

showNotation :: MidiPitch -> String Source #

showNotationT :: MidiPitch -> Text Source #

parseNotation :: ReadP MidiPitch Source #

readNotation :: String -> Maybe MidiPitch Source #

readNotationT :: Text -> Maybe MidiPitch Source #

ToMidi MidiInterval Source #

Instance details

Methods

toMidi :: MidiInterval -> Int Source #

ToMidi MidiPitch Source #

Instance details

Methods

toMidi :: MidiPitch -> Int Source #