Würschmidt diesis spiral progression: Difference between revisions

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recording on [u]: [[:File:magic_spiral_basic_(andrew_jacob_ryan)_5_11_07.mp3|magic spiral basic (andrew jacob ryan) 5_11_07.mp3]]
recording on [u]: [[:File:magic_spiral_basic_(andrew_jacob_ryan)_5_11_07.mp3|magic spiral basic (andrew jacob ryan) 5_11_07.mp3]]
=== Explanation ===
[[File:Meantone diesis spiral.png|thumb|Descending diesis spiral progression in meantone temperament notation.]]
This progression plays with the 5-limit diesis [[128/125]]. Each chord change effectively modulates upward or downward by a major third (5/4).
When played in a meantone temperament that does not temper out 128/125 such as 31edo, stacking three major thirds does not make it close up into an octave, but instead exceeds the octave by one diesis. In 12edo, however, three major thirds closes up into an octave, and so every third chord in the progression is enharmonic.
[[Category:Method]]
[[Category:Method]]
[[Category:Listen]]
[[Category:Listen]]