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Title:58EDO, Mystery temperament and 2 rings of Pythagorean on the Lumatone
Duration:13:23
Viewed:1,237
Published:26-05-2021
Source:Youtube

58-equal is a tuning I've wanted to play in for years, but I've never had an instrument that could make that practical (not many people do). The Lumatone, with 56 keys per octave under the usual Bosanquet mapping, means you get almost everything you need here (I'm missing \Eb and \Bb here, which is somewhat annoying - 7/6 and 7/4 respectively above C, but you have those intervals in pretty much every other key)! Here I have 58 laid out as 2 rings of 29-equal, with the bottom circle of fifths/"ring" tuned with middle C at concert pitch, right down to the bottom row of the keyboard. Laying it out this way meant I got a slightly lower range than normal, which I quite like, the low A1 being a rather helpful bass note. The bottom circle goes (... - light red) - light indigo - dark blue - white - dark orange - light red - (light indigo - ...), and the top circle above, tuned 1\58 (21c) higher, goes (... - dark indigo) - light blue - black - light orange - dark red - dark indigo - (light blue - ...). 29-equal I find is a rather nice compromise between true pythagorean and gentle fifth tunings, in the range of "expressive intonation" we often hear in orchestral playing or melodically on string instruments, while the 1\58 comma helps "correct" more complex sounds to classic near-just sounds, e.g. a ~13/11 minor third up a comma to ~6/5 and down a comma to ~7/6, a ~33/26 major third up a comma to ~9/7 and down a comma to ~5/4, a ~15/11 augmented third = superfourth up a comma to ~11/8, or a ~21/13 augmented fifth = supraminor sixth up a comma to ~13/8. This video was inspired by Antoine Beaudet (jollybard)'s recent clips in pythagorean and schismatic, using medieval and neogothic harmonies in combination with some more modern techniques. Check out Antoine's stuff on SoundCloud, YouTube and posts on facebook.

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