### 31EDO Piano — Mini synthesizer in Pixilang

Posted:

**Tue Nov 13, 2018 9:14 pm**31EDO Piano

This is unusual music keyboard that has 31 equal steps per octave.

Why the number is 31, you might ask.

The 31EDO scale approximates the first 16 harmonics and their ratios reasonably well, except for 13th harmonic that is tuned slighty sharp.

You can either play familiar melodies as usual or explore microtonal consonanses.

A trained musician can easily distinguish major and minor triads that have frequency ratios 4:5:6 and 10:12:15, respectively. But, for example, "subminor" (6:7:9) and "neutral" (18:22:27) triads, while being unfamiliar to western audience, may appear in Indian or Arabic traditional compositions. All these kinds of triads can be played on 31EDO keyboard by spanning 10 and 18; 8 and 18; 7 and 18; 9 and 18 steps from the root note.

Another advantage of 31EDO scale is the width of its step — the 1/31 part of octave is much larger than 81/80 comma; it allows us to distinguish diatonic (16/15, approx. 3/31 of octave) and chromatic (25/24, approx. 2/31 of octave) semitones, thus spacing C and B# notes apart, and wipes out the difference between large tone (9/8) and small tone (10/9), being a meantone scale.

Draw any waveform in the window and edit its spectrum instantly; the Fourier transform is being calculated on the fly.

This is English version of Russian thread viewtopic.php?f=7&t=4534. The updates will be posted in both threads.

The current version is 0.5 Here, the PC keys are assigned to the corresponding harmonics of low C note.

This is unusual music keyboard that has 31 equal steps per octave.

Why the number is 31, you might ask.

The 31EDO scale approximates the first 16 harmonics and their ratios reasonably well, except for 13th harmonic that is tuned slighty sharp.

You can either play familiar melodies as usual or explore microtonal consonanses.

A trained musician can easily distinguish major and minor triads that have frequency ratios 4:5:6 and 10:12:15, respectively. But, for example, "subminor" (6:7:9) and "neutral" (18:22:27) triads, while being unfamiliar to western audience, may appear in Indian or Arabic traditional compositions. All these kinds of triads can be played on 31EDO keyboard by spanning 10 and 18; 8 and 18; 7 and 18; 9 and 18 steps from the root note.

Another advantage of 31EDO scale is the width of its step — the 1/31 part of octave is much larger than 81/80 comma; it allows us to distinguish diatonic (16/15, approx. 3/31 of octave) and chromatic (25/24, approx. 2/31 of octave) semitones, thus spacing C and B# notes apart, and wipes out the difference between large tone (9/8) and small tone (10/9), being a meantone scale.

Draw any waveform in the window and edit its spectrum instantly; the Fourier transform is being calculated on the fly.

This is English version of Russian thread viewtopic.php?f=7&t=4534. The updates will be posted in both threads.

The current version is 0.5 Here, the PC keys are assigned to the corresponding harmonics of low C note.