Submajor and supraminor: Difference between revisions
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''This article is about the two interval qualities closer to neutral than major/minor. For the opposite, see [[Supermajor and subminor]].'' | ''This article is about the two interval qualities closer to neutral than major/minor. For the opposite, see [[Supermajor and subminor]].'' | ||
'''Submajor''' intervals are between standard major and neutral intervals, and likewise, '''supraminor''' | '''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: | ||
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Submajor and supraminor intervals are found in flatly tuned 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 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. | ||
== Terminology == | == Terminology == |