Module tuningsystem 

Tuning-system ratios, labels and frequency helpers.

Modules

adaptive

scala

Runtime parsing of Scala .scl scale files. Runtime parsing of Scala .scl scale files.

scala_bundled

The bundled Scala scale archive, emitted by xtask emit-scala-archive.

Structs

Fraction

A ratio-like value used by tuning tables.

Enums

AnyTuningSystem

Either a normal tuning system or a context-sensitive adaptive tuning system.

TuningSystem

Supported tuning systems and ratio tables.

Constants

A0

Frequency of A0 in hertz.

A4

Frequency of A4 in hertz.

ALL_TUNING_SYSTEMS

All built-in tuning systems in canonical display order.

AN1

Frequency of A-1 in hertz.

C0

Frequency of C0 in hertz.

C4

Frequency of middle C in hertz.

CARLOS_HARMONIC

Twelve-tone harmonic-series scale (Wendy Carlos’s Harmonic).

CARLOS_HARMONIC_24

Twenty-four-tone harmonic-series scale.

CN1

Frequency of C-1 in hertz.

COMMON_EQUAL_TEMPERAMENTS

The equal divisions of the octave that xenharmonic practice actually uses.

COMMON_TWELVE_TONE_TUNING_SYSTEMS

The common twelve-tone tuning systems useful for comparing pitch frequencies.

ELEVEN_LIMIT

Twenty-nine-tone eleven-limit tuning ratios.

FIVE_LIMIT

Twelve-tone five-limit tuning ratios.

FORTYTHREE_TONE

Backwards-compatible alias for FORTY_THREE_TONE.

FORTY_THREE_TONE

Forty-three-tone tuning ratios.

HISTORICAL_TEMPERAMENTS

Historical keyboard temperaments, oldest first.

INDIAN_SCALE_22

Twenty-two-tone Indian scale ratios.

INDIAN_SCALE_NAMES

Degree labels for the seven-tone PtolemyIntenseDiatonic scale.

INDIA_SCALE_ALT

Alternate seven-tone Indian scale ratios.

JAVANESE

Five-tone Javanese equal-temperament approximation.

KIRNBERGER_I

Twelve-tone Kirnberger I well temperament (1766).

KIRNBERGER_III

Twelve-tone Kirnberger III well temperament (1744).

LEHMAN_BACH

Twelve-tone Lehman-Bach temperament (2005).

NEIDHARDT_I

Twelve-tone Neidhardt I well temperament (1724).

OCTAVE_SIZE

Default octave size for twelve-tone systems.

PTOLEMY_INTENSE_DIATONIC

Ptolemy’s intense diatonic, also Zarlino’s just major scale.

PYTHAGOREAN_TUNING

Twelve-tone Pythagorean tuning ratios.

QUARTER_COMMA_MEANTONE

Twelve-tone quarter-comma meantone temperament (Aaron, 1523).

RAMEAU

Twelve-tone Rameau modified meantone temperament (1725).

SILBERMANN

Twelve-tone Gottfried Silbermann temperament no. 1 (c. 1730).

SIXTH_COMMA_MEANTONE

Twelve-tone sixth-comma meantone temperament (Salinas, 1577).

THAI

Seven-tone Thai equal-temperament approximation.

THIRD_COMMA_MEANTONE

Twelve-tone third-comma meantone temperament (Salinas, 1577).

TWELVE_TONE_NAMES

Degree labels for a twelve-tone chromatic octave.

TWELVE_TONE_NAMES_FLAT

Degree labels for a twelve-tone chromatic octave using flats.

TWELVE_TONE_NAMES_SHARP

Degree labels for a twelve-tone chromatic octave using sharps.

VALLOTTI

Twelve-tone Vallotti well temperament (c. 1754).

WERCKMEISTER_III

Twelve-tone Werckmeister III well temperament (1681).

WERCKMEISTER_IV

Twelve-tone Werckmeister IV well temperament (1681).

WERCKMEISTER_V

Twelve-tone Werckmeister V well temperament (1681).

WHOLE_TONE_NAMES

Degree labels for a whole-tone octave.

YOUNG_II

Twelve-tone Thomas Young well temperament no. 2 (1799).

Functions

equal_temperament

Creates an equal-temperament fraction for tone within octave_size.

equal_temperament_12

Creates a twelve-tone equal-temperament fraction.

equal_temperament_default

Creates an equal-temperament fraction using OCTAVE_SIZE.

get_cents

Returns cents offset from equal temperament for a tuning-system degree.

get_cents_at

Returns cents offset from equal temperament for a fractional degree index.

get_fraction

Returns the fraction for a tuning-system degree.

get_frequency

Returns the frequency in hertz for a tuning-system degree.

get_frequency_at

Returns the frequency in hertz for a fractional tuning-system degree.

get_label

Returns a display label for a tuning-system degree.

get_ratio

Returns the frequency ratio for a tuning-system degree.