Submajor and supraminor: Difference between revisions
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'''Submajor''' intervals are between standard major and neutral intervals, and likewise, '''supraminor''' (sometimes also '''superminor''') is an [[interval quality]] used to describe [[interval]]s wider than [[minor]], but narrower than [[neutral]]. For example, submajor thirds are found between about 361 and 375 cents, and supraminor thirds are found between about 327 and 341 cents. | '''Submajor''' intervals are between standard major and neutral intervals, and likewise, '''supraminor''' (sometimes also '''superminor''') is an [[interval quality]] used to describe [[interval]]s wider than [[minor]], but narrower than [[neutral]]. For example, submajor thirds are found between about 361 and 375 cents, and supraminor thirds are found between about 327 and 341 cents. | ||
Submajor and supraminor intervals are hard to find as just intervals (partially due to the range of supraminor sixths corresponding to [[acoustic phi]]), and do not correspond cleanly to any subgroup of JI. However, here are some examples of just submajor and supraminor intervals: | Submajor and supraminor intervals are hard to find as just intervals (partially due to the range of supraminor sixths corresponding to [[acoustic phi]]), and do not correspond cleanly to any [[subgroup]] of [[JI]]. However, here are some examples of just submajor and supraminor intervals: | ||
* [[14/13]] (128c), supraminor second | * [[14/13]] (128c), supraminor second | ||
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Submajor and supraminor intervals are found in flatly tuned [[5L 2s|diatonic scales]], such as where the fifth is tuned to around 691 cents. For a given [[neutral]] interval ''k'' in cents, submajor ranges from roughly ''k''+10 to ''k''+24 cents, and supraminor ranges from roughly ''k''-24 to ''k''-10 cents. For example, submajor seconds are found between about 157 to 171 cents, containing the lower range of the "[[equable heptatonic]]" region defined by [[Margo Schulter]]. | Submajor and supraminor intervals are found in flatly tuned [[5L 2s|diatonic scales]], such as where the fifth is tuned to around 691 cents. For a given [[neutral]] interval ''k'' in cents, submajor ranges from roughly ''k''+10 to ''k''+24 cents, and supraminor ranges from roughly ''k''-24 to ''k''-10 cents. For example, submajor seconds are found between about 157 to 171 cents, containing the lower range of the "[[equable heptatonic]]" region defined by [[Margo Schulter]]. | ||
Submajor and supraminor intervals are associated with [[Ploidacot/Omega-tricot|omega-tricot]] systems, as one generator represents a submajor second and two represent a supraminor third. | |||
== Terminology == | == Terminology == | ||
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[[Category:Terms]] | [[Category:Terms]] | ||
{{Navbox intervals}} | {{Navbox intervals}} | ||
* | * | ||