Csound.Tuning

Temperament

newtype Temp

Data structure for musical temperament. The value can be created with constructors genTemp and genTempCent. It can be passed as an argument to the instrument (it can be a part of the note).

Constructors

Temp

Fields

unTemp :: Tab

Instances

Tuple Temp

Arg Temp

Default Temp

genTemp :: Double -> Double -> Double -> [Double] -> Temp

Creates a temperament. Arguments are

genTemp interval baseHz baseMidiPitch cents

For example:

genTemp 2 261.63 60 [0, 100, 200 .. more cents .. , 1200]

Cent list should include the first note from the next octave(interval of temperament repetition).

genTempRatio :: Double -> Double -> Double -> [Double] -> Temp

Creates a temperament. Arguments are

genTempCent interval baseHz baseMidiPitch ratios

For example:

genTempRatio 2 261.63 60 [1, .. more ratios .. , 2]

Cent list should include the first note from the next octave(interval of temperament repetition).

tempC :: [Double] -> Temp

Temperament with base note at note C (261.63 Hz) and an octave as interval (2). The argument is the list of cents.

tempRatioC :: [Double] -> Temp

Temperament with base note at note C (261.63 Hz) and an octave as interval (2). The argument is the list of ratios.

stdTemp :: [Double] -> Temp

Temperament with 9th note tuned to 440 Hz (Concert A). The argument is the list of cents.

stdTempRatio :: [Double] -> Temp

Temperament with 9th note tuned to 440 Hz (Concert A). The argument is the list of ratios.

barTemp :: [Double] -> Temp

Baroque Temperament with 9th note tuned to 415 Hz (Concert A). The argument is the list of cents.

barTempRatio :: [Double] -> Temp

Baroque Temperament with 9th note tuned to 415 Hz (Concert A). The argument is the list of ratios.

concertA :: Double -> [Double] -> Temp

Temperament with 9th note tuned to 440 Hz (Concert A). The argument is the list of cents.

ratioConcertA :: Double -> [Double] -> Temp

Temperament with 9th note tuned to 440 Hz (Concert A). The argument is the list of ratios.

Specific temperaments

equal1 :: Temp

Equal temperament

just1 :: Temp

Just intonation

meantone :: Temp

Meantone temperament

pythagor :: Temp

Pythagorean tuning

werckmeister :: Temp

Werckmeister III temperament. Probably it was temperament of the Bach musical era.

young1 :: Temp

Tomas Young temperament

young2 :: Temp

Tomas Young temperament 1 (aligned with ET by C and A)

young3 :: Temp

Tomas Young temperament 2 (aligned with ET by C and A)

In cents

equalCents1 :: [Double]

justCents1 :: [Double]

meantoneCents :: [Double]

pythagorCents :: [Double]

werckmeisterCents :: [Double]

youngCents1 :: [Double]

youngCents2 :: [Double]

youngCents3 :: [Double]

List of temperaments

newtype TempList

List of temperaments (or more precisely f-table of temperaments). It can be passed as an argument to the instrument (it can be a part of the note).

Constructors

TempList

Fields

unTempList :: TabList

Instances

Tuple TempList

Arg TempList

tempList :: [Temp] -> TempList

Creates a list of temperaments.

fromTempList :: TempList -> Sig -> Temp

Selects one of the temperaments by index.

fromTempListD :: TempList -> D -> Temp

Selects one of the temperaments by index. Works at the time of instrument initialization (remains constant).

Utility functions

cent2ratio :: Floating a => a -> a

Converts cents to ratios.

ratio2cent :: Floating a => a -> a

Converts ratios to cents.