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 sound completely unrecognizable but are structurally identical (with it being possible to translate from diatonic to macrodiatonic/microdiatonic scales "on the fly"). | '''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 sound completely unrecognizable but are structurally identical (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 == | == Examples of macrodiatonic and microdiatonic scales == | ||
* [[5L 2s (3/2-equivalent)|5L 2s<3/2>]]: Generator is approximately [[ | * [[5L 2s (3/2-equivalent)|5L 2s<3/2>]]: 0 | ||
* [[5L 2s (12/5-equivalent)|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-equivalent)|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. | |||
Revision as of 01:17, 24 June 2023
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.