MCC::EqualTemperament Class Reference

Twelve-tone equal temperament relative to a Tuning. More...

#include <EqualTemperament.h>

Collaboration diagram for MCC::EqualTemperament:

Public Member Functions
constexpr	EqualTemperament () noexcept
	Creates the invalid temperament (SPEC-ERR-2).
constexpr	EqualTemperament (MCC::Tuning tuning) noexcept
	Creates the temperament for tuning.
constexpr bool	IsValid () const noexcept
	Returns true when the tuning is valid.
constexpr MCC::Tuning	Tuning () const noexcept
	Returns the tuning reference.
MCC_CONSTEXPR14 float	Frequency (MCC::Pitch pitch) const noexcept
	Returns the frequency of pitch in hertz.

Static Public Member Functions
static constexpr EqualTemperament	Standard () noexcept
	Returns equal temperament with A4 = 440 Hz (SPEC-OCT-2).

Friends
constexpr bool	operator== (EqualTemperament a, EqualTemperament b) noexcept
	Equality of tunings.
constexpr bool	operator!= (EqualTemperament a, EqualTemperament b) noexcept

Detailed Description

Twelve-tone equal temperament relative to a Tuning.

A pitch n semitones above the reference sounds at referenceFrequency * 2^(n / 12). Enharmonic pitches share a frequency. The frequency is computed from a table of the twelve semitone ratios and exact octave doublings, without pow() or the math library.

Default construction produces the invalid temperament (invalid tuning).

Member Function Documentation

Frequency()

MCC_CONSTEXPR14 float MCC::EqualTemperament::Frequency ( MCC::Pitch pitch ) const

inlinenoexcept

Returns the frequency of pitch in hertz.

Returns 0 when the temperament or the pitch is invalid, or when the frequency exceeds the largest finite float (SPEC-ERR-5, SPEC-ERR-7). Under A4 = 440 Hz that happens above B123; every lower pitch down to octave -128 has a finite positive frequency.

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The documentation for this class was generated from the following file:

• src/MCC/Tuning/EqualTemperament.h