24edo/Interval names and harmonies: Difference between revisions

Line 48:

Paramajor and Paraminor are used to describe the quartertone intervals that are on either side of a perfect fourth or perfect fifth, with paramajor intervals being sharper than their perfect counterparts by a quartertone and paraminor intervals being sharper than their perfect counterparts by a quartertone. The terms "paramajor" and "paraminor" have their roots in the terms [[Wikipedia: Major fourth and minor fifth|"major fourth" and "minor fifth"]] as used by [[Ivan Wyschnegradsky]]. The reason the "para-" prefix (meaning "resembling" or "alongside"<ref>[[Wiktionary: para- #Etymology 1]]</ref>) has been added to the words "major" and "minor" as seen in Wyschnegradsky's original terms for these intervals is because the quartertone intervals surrounding the perfect fourth and perfect fifth relate to each other in a manner resembling the relationship between conventional major and minor for other scale degrees, except that this relationship occurs in a context where the note halfway between them is actually part of the base scale rather than the two notes in question.

=== Ultra-/Infra- ===

=== Super-/Sub- and Ultra-/Infra- ===

The terms "Ultra" and "Infra" ~~themselves~~ occur in prefix form when modifying ~~Primes~~ and ~~Octaves~~, as well as when modifying ~~Augmented~~ and ~~Diminished~~ intervals, thus leading to the terms "~~Ultraprime~~", "~~Ultraoctave~~", "~~Infraoctave~~", "~~Infra~~-Augmented", "~~Ultra~~-Augmented", "~~Infra~~-Diminished" and "~~Ultra~~-Diminished"; however, the ~~term~~ "Infraprime" ~~is not used~~ since the perfect unison is already the smallest form of prime. Note, for example, that an ~~Infra-Augmented Fourth~~ is the enharmonically equivalent to a ~~Paramajor Fourth~~ in 24edo because the [[rastma]] tempered out.

The terms "Super" and "Sub", sometimes denoted instead as "Ultra" and "Infra", occur in prefix form when modifying primes and octaves, as well as when modifying augmented and diminished intervals, thus leading to the terms "Superprime", "Superoctave", "Suboctave", "Sub-Augmented", "Super-Augmented", "Sub-Diminished", and "Super-Diminished"; however, the terms "Subprime" and "Infraprime" are redundant since the perfect unison is already the smallest form of prime. Note, for example, that an subaugmented fourth is the enharmonically equivalent to a paramajor fourth in 24edo because the [[rastma]] is tempered out.

== Types of basic chords ==

@@ Line 48: / Line 48: @@
 Paramajor and Paraminor are used to describe the quartertone intervals that are on either side of a perfect fourth or perfect fifth, with paramajor intervals being sharper than their perfect counterparts by a quartertone and paraminor intervals being sharper than their perfect counterparts by a quartertone.  The terms "paramajor" and "paraminor" have their roots in the terms [[Wikipedia: Major fourth and minor fifth|"major fourth" and "minor fifth"]] as used by [[Ivan Wyschnegradsky]].  The reason the "para-" prefix (meaning "resembling" or "alongside"<ref>[[Wiktionary: para- #Etymology 1]]</ref>) has been added to the words "major" and "minor" as seen in Wyschnegradsky's original terms for these intervals is because the quartertone intervals surrounding the perfect fourth and perfect fifth relate to each other in a manner resembling the relationship between conventional major and minor for other scale degrees, except that this relationship occurs in a context where the note halfway between them is actually part of the base scale rather than the two notes in question.
-=== Ultra-/Infra- ===
+=== Super-/Sub- and Ultra-/Infra- ===
-The terms "Ultra" and "Infra" themselves occur in prefix form when modifying Primes and Octaves, as well as when modifying Augmented and Diminished intervals, thus leading to the terms "Ultraprime", "Ultraoctave", "Infraoctave", "Infra-Augmented", "Ultra-Augmented", "Infra-Diminished" and "Ultra-Diminished"; however, the term "Infraprime" is not used since the perfect unison is already the smallest form of prime.  Note, for example, that an Infra-Augmented Fourth is the enharmonically equivalent to a Paramajor Fourth in 24edo because the [[rastma]] tempered out.
+The terms "Super" and "Sub", sometimes denoted instead as "Ultra" and "Infra", occur in prefix form when modifying primes and octaves, as well as when modifying augmented and diminished intervals, thus leading to the terms "Superprime", "Superoctave", "Suboctave", "Sub-Augmented", "Super-Augmented", "Sub-Diminished", and "Super-Diminished"; however, the terms "Subprime" and "Infraprime" are redundant since the perfect unison is already the smallest form of prime.  Note, for example, that an subaugmented fourth is the enharmonically equivalent to a paramajor fourth in 24edo because the [[rastma]] is tempered out.
 == Types of basic chords ==