Macrodiatonic and microdiatonic scales: Difference between revisions

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'''Macrodiatonic scales'''{{idiosyncratic}} 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'''{{idiosyncratic}}. 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 in which the "fifth" analogue is tuned flatter than its untempered interpretation.

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. The terms longdiatonic and shortdiatonic have been proposed to refer to the latter, most likely by [[User:Dummy index|Dummy index]].

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 [[User:Moremajorthanmajor/8L_3s_(perfect_twelfth-equivalent)#Relationship_to_the_Obikhod|obikhod]], another name should be considered. The terms longdiatonic and shortdiatonic have been proposed to refer to the latter, most likely by [[User:Dummy index|Dummy index]].

== Notation ==

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 '''Macrodiatonic scales'''{{idiosyncratic}} 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'''{{idiosyncratic}}. 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 in which the "fifth" analogue is tuned flatter than its untempered interpretation.
-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. The terms longdiatonic and shortdiatonic have been proposed to refer to the latter, most likely  by [[User:Dummy index|Dummy index]].
+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 [[User:Moremajorthanmajor/8L_3s_(perfect_twelfth-equivalent)#Relationship_to_the_Obikhod|obikhod]], another name should be considered. The terms longdiatonic and shortdiatonic have been proposed to refer to the latter, most likely  by [[User:Dummy index|Dummy index]].
 == Notation ==