Macrodiatonic and microdiatonic scales: Difference between revisions

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'''Macrodiatonic scales''' are [[nonoctave]] [[MOS scale]]s 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 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 temperament]]s assosciated with macrodiatonic/microdiatonic scales are usually termed as macro[[meantone]]/micromeantones.

'''Macrodiatonic scales''' are [[nonoctave]] [[MOS scale]]s 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 temperament]]s assosciated with macrodiatonic/microdiatonic scales are usually termed as macro[[meantone]]/micromeantones.

== Examples of macrodiatonic and microdiatonic scales ==

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* [[5L 2s (12/5-equivalent)|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-equivalent)|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).

[[Category:9/7]]

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-'''Macrodiatonic scales''' are [[nonoctave]]  [[MOS scale]]s 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 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 temperament]]s assosciated with macrodiatonic/microdiatonic scales are usually termed as macro[[meantone]]/micromeantones.
+'''Macrodiatonic scales''' are [[nonoctave]]  [[MOS scale]]s 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 temperament]]s assosciated with macrodiatonic/microdiatonic scales are usually termed as macro[[meantone]]/micromeantones.
 == Examples of macrodiatonic and microdiatonic scales ==
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 * [[5L 2s (12/5-equivalent)|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-equivalent)|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).
+[[Category:9/7]]