Macrodiatonic and microdiatonic scales

From Xenharmonic Wiki
Revision as of 01:17, 24 June 2023 by CompactStar (talk | contribs)
Jump to navigation Jump to search

Macrodiatonic scales are nonoctave MOS scales that have 5 large and 2 small steps like the diatonic scale but are stretched because of their nonoctave period. The equivalent term for compressed diatonic scales is microdiatonic. Macrodiatonic/microdiatonic scales sound completely unrecognizable but are structurally identical (with it being possible to translate from diatonic to macrodiatonic/microdiatonic scales "on the fly"). Nonoctave regular temperaments assosciated with macrodiatonic/microdiatonic scales are usually termed as macromeantone/micromeantones.

Examples of macrodiatonic and microdiatonic scales

  • 5L 2s<3/2>: 0
  • 5L 2s<12/5>: Generator is approximately 3/2, and interestingly, major triads (4:5:6) are stretched to first inversion major triads (3:4:5).
5L 2s<3/1>: Generator is approximately 17/9, connecting to the no-twos macromeantone temperament tempering out in the 3.13.17 subgroup tempering out 85293/83521.