Number of equal steps per period. Must be a positive integer.
The frequency ratio of one period (e.g. 3 for tritave). Must be > 1.
Reference frequency for step 0 (A4). Default: 440 Hz.
Display name: '12-TET', 'Ptolemaic Just Intonation', 'Werckmeister III'.
The frequency ratio of one period (e.g. 3 for tritave). Must be > 1.
Number of equal steps per period. Must be a positive integer.
Steps per period (not an octave - the period is periodRatio : 1).
Returns the frequency in Hz for a given step offset from A4.
Returns a note name for the given step: the 12-TET name of the note the step stands for
(getStandardStep), in sharps ("C#4", "A4"), or "Step N" when it stands for none.
Converts a 12-TET step pattern (successive steps, e.g. major [2, 2, 1, 2, 2, 2, 1]) to
this tuning. Each note's position above the first is mapped, not each step, so the
pattern keeps its span: in 22-EDO the major scale spans 22 steps (rounding each step
would give 24), and in a 7-note JI scale a semitone does not collapse to 0 steps.
A step comes out 0 only when two notes land on the same step of this tuning.
Always null: the 12 notes repeat at the octave, and this tuning does not.
Converts a standard 12-TET step (A4 = 0) to the step of this tuning nearest in cents
(standardStep × 100¢ above step 0). Works for any tuning whose steps rise: unequal
(JI, cent tables, Scala) and non-octave ones alike — in Bohlen-Pierce a fifth (700¢)
maps to step 5 (731.6¢). Tunings with 12 steps per octave map one to one.
The step of target that stands for the same 12-TET note as step does here
(getStandardStep on both sides): C4 is step -9 in 12-TET and step -23 in 31-EDO.
The step in target, or null when step stands for no note or target has
no step for it.
Non-octave tuning - the period of repetition is not the octave (2:1) but an arbitrary ratio. The canonical example is Bohlen-Pierce, which repeats at the tritave (3:1) with 13 equal steps.
Example: Bohlen-Pierce