File:Octatonic Groove 26 edo.mp3

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Octatonic_Groove_26_edo.mp3(file size: 1.78 MB, MIME type: audio/mpeg)

This is a microtonal (26 EDO) jazz piece based on a theme I wrote for standard 12-EDO tuned piano, exploring the half-step/whole-step Octatonic scale. For the retuning I used a variant of the Octatonic scale that I hadn't seen before:

Rather than using Diminished temperament, tempering out both 36/35 and 50/49, I only tempered out 50/49. This results in a scale where the whole steps alternate between a larger ~8/7 whole step and a smaller ~10/9 whole step, in the pattern sMsLsMsL. This allows a distinction between septimal and 5-limit minor and major thirds without creating any wolf intervals. All dominant 7th chords either become harmonic 7th chords (4:5:6:7) or utonal chords with the ratios (1/9:1/7:1/6:1/5). Diminished 7th chords all become some inversion of (10:12:14:17).

This version is in 26 EDO. I also rendered this piece in 48 and 22 EDO.

The microtonal tuning allowed me to write two different variants of the first part of the bridge swapping 5-limit and septimal intervals. Since the Syntonic comma is tempered by 26 EDO, an inner line in the second part of the bridge lacks the commatic passing tone that occurs in 48 EDO and 22 EDO. Nonetheless, this tuning sounds good to me (Possibly my second favorite after 48).

File history

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Date/TimeThumbnailDimensionsUserComment
current02:19, 6 December 2020 (1.78 MB)Rperlner (talk | contribs)

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