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 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 sometimes termed as macro[[meantone]]/micromeantones. However, it is controversial to use the name of the temperament for things that only share a scale pattern rather than harmonic structure.
'''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, making them extremely [[stretched tuning|stretched]] versions of the diatonic scale. 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 sometimes termed as macro[[meantone]]/micromeantones. However, it is controversial to use the name of the temperament for things that only share a scale pattern rather than harmonic structure. [[User:CompactStar|CompactStar]] suggests that the term macromeantone/micromeantone is only used for  temperaments which generate soft macrodiatonic/microdiatonic scales.


In broader sense, a scale created by repeating one simple intonation ("fifth" analogue) and it has low otonal limit triad (with "third" analogue which is but not always genspan +4.) But, if 3/2 is used as generator, such as [[angel]] and [[obikhod]], another name should be considered.
In a broader sense, a scale created by repeating one simple intonation ("fifth" analogue) and it has a low otonal limit triad (with "third" analogue which is but not always genspan +4.) But, if 3/2 is used as generator, such as [[angel]] and [[obikhod]], another name should be considered like longdiatonic and shortdiatonic.


== Notation ==
== Notation ==
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* [[7L 2s (5/2-equivalent)|7L 2s<5/2>]]: Dark generator is approximately 3/2 and 5 generators is 6/5.
* [[7L 2s (5/2-equivalent)|7L 2s<5/2>]]: Dark generator is approximately 3/2 and 5 generators is 6/5.
* [[8L 3s (3/1-equivalent)|8L 3s<3/1>]]: Generator is approximately 3/2 and 6 generators is 5/4.
* [[8L 3s (3/1-equivalent)|8L 3s<3/1>]]: Generator is approximately 3/2 and 6 generators is 5/4.
== See also ==
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[[Category:7-tone scales]]
[[Category:7-tone scales]]
[[Category:Nonoctave]]
[[Category:Nonoctave]]