Macrodiatonic and microdiatonic scales

Macrodiatonic scales are nonoctave MOS scales that have 5 large and 2 small steps like the diatonic scale, but have a period greater than 2/1 so are stretched. The equivalent term for compressed diatonic scales (period < 2/1) is microdiatonic. Macrodiatonic/microdiatonic scales typically sound completely unrecognizable due to the stretching/squishing, yet are structurally identical to diatonic (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>: Generator is a neogothic major third near 81/64 and 14/11.
• 5L 2s<12/5>: Generator is approximately 5/3, and interestingly, major triads (4:5:6) are stretched to approximately first inversion major triads (3:4:5).
• 5L 2s<3/1>: Generator is approximately 17/9, and 4 generators is vaguely equivalent to 13/9. This relates this scale to the no-twos macromeantone temperament tempering out 85293/83521 in the 3.13.17 subgroup (equating 4 17/9 to 13/9, instead of 4 3/2 to 5/4), as documented on the page for 12edt.