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~~]].''

: ''"Submajor" redirects here. For the regular temperament, see [[Submajor (temperament)]].''

'''Submajor''' intervals are between standard major and neutral intervals, and likewise, '''supraminor''' ~~intervals are between standard minor and neutral intervals. The prefix "supra-"~~ is used ~~in supraminor~~ to ~~avoid ambiguity with whether "superminor" would mean "sharper~~ than minor~~" (i.e. supraminor) or "more extreme~~ than ~~minor" (i.e. subminor)~~. 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

* [[11/10]] (165c), submajor second

* [[17/14]] (336c), supraminor third

* [[21~~/17~~]] (~~366c~~), submajor third

* [[26/21]] (370c), submajor third

* [[34/21]] (~~834c~~), supraminor sixth

* [[21/13]] (830c), supraminor sixth

* [[28/17]] (864c), submajor sixth

* [[20/11]] (1035c), supraminor seventh

* [[13/7]] (1072c), submajor seventh

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 [[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 ==

While "superminor" is more consistent with the analogous "[[supermajor]]", it is more likely to be interpreted as "more minor", therefore implying intervals narrower than minor, whereas such intervals are rather called [[subminor]]. This may be caused by the common use of "super" in English both as an adverb and a prefix, leading to a possible parsing of the term as "super major", while "supra" is only used as a prefix. Nonetheless, since both Latin prefixes are equivalent in meaning, both terms are technically correct and are interchangeable.

The term "supraminor" has been used regularly by many people, including Manuel Op de Coul<ref>Op de Coul, Manuel. [https://www.huygens-fokker.org/docs/intervals.html ''Stichting Huygens-Fokker: List of intervals''].</ref>, [[John Chalmers]]<ref>Chalmers, John. [https://eamusic.dartmouth.edu/~larry/published_articles/divisions_of_the_tetrachord/ ''Divisions of the Tetrachord'']. 1993.</ref>, [[Dave Keenan]]<ref>Keenan, Dave. [https://dkeenan.com/Music/IntervalNaming.htm ''A note on the naming of musical intervals'']. 1999, updated 2001.</ref>, [[Margo Schulter]]<ref>Schulter, Margo. [https://www.bestii.com/~mschulter/IntervalSpectrumRegions.txt ''Regions of the Interval Spectrum'']. 2010.</ref> and [[Deja Igliashon]]<ref>[[Extra-Diatonic Intervals]]</ref>. As of January 19th, 2025, the term "supraminor" has 660 more occurrences on [[XA Discord]] compared to "superminor".

== References ==

[[Category:Terms]]

*

@@ Line 1: / Line 1: @@
-''This article is about the two interval qualities closer to neutral than major/minor. For the opposite, see [[Supermajor and subminor]].''
+: ''"Submajor" redirects here. For the regular temperament, see [[Submajor (temperament)]].''
-'''Submajor''' intervals are between standard major and neutral intervals, and likewise, '''supraminor''' intervals are between standard minor and neutral intervals. The prefix "supra-" is used in supraminor to avoid ambiguity with whether "superminor" would mean "sharper than minor" (i.e. supraminor) or "more extreme than minor" (i.e. subminor). 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
 * [[11/10]] (165c), submajor second
 * [[17/14]] (336c), supraminor third
-* [[21/17]] (366c), submajor third
+* [[26/21]] (370c), submajor third
-* [[34/21]] (834c), supraminor sixth
+* [[21/13]] (830c), supraminor sixth
 * [[28/17]] (864c), submajor sixth
 * [[20/11]] (1035c), supraminor seventh
+* [[13/7]] (1072c), submajor seventh
-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 [[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 ==
+While "superminor" is more consistent with the analogous "[[supermajor]]", it is more likely to be interpreted as "more minor", therefore implying intervals narrower than minor, whereas such intervals are rather called [[subminor]]. This may be caused by the common use of "super" in English both as an adverb and a prefix, leading to a possible parsing of the term as "super major", while "supra" is only used as a prefix. Nonetheless, since both Latin prefixes are equivalent in meaning, both terms are technically correct and are interchangeable.
+The term "supraminor" has been used regularly by many people, including Manuel Op de Coul<ref>Op de Coul, Manuel. [https://www.huygens-fokker.org/docs/intervals.html ''Stichting Huygens-Fokker: List of intervals''].</ref>, [[John Chalmers]]<ref>Chalmers, John. [https://eamusic.dartmouth.edu/~larry/published_articles/divisions_of_the_tetrachord/ ''Divisions of the Tetrachord'']. 1993.</ref>, [[Dave Keenan]]<ref>Keenan, Dave. [https://dkeenan.com/Music/IntervalNaming.htm ''A note on the naming of musical intervals'']. 1999, updated 2001.</ref>, [[Margo Schulter]]<ref>Schulter, Margo. [https://www.bestii.com/~mschulter/IntervalSpectrumRegions.txt ''Regions of the Interval Spectrum'']. 2010.</ref> and [[Deja Igliashon]]<ref>[[Extra-Diatonic Intervals]]</ref>. As of January 19th, 2025, the term "supraminor" has 660 more occurrences on [[XA Discord]] compared to "superminor".
+== References ==
+<references/>
+[[Category:Terms]]
 {{Navbox intervals}}
 *