5L 2s (3/1-equivalent): Difference between revisions

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== Name ==

The name '''triatonic''' was coined by [[User:CompactStar|CompactStar]], as a back-formation from "diatonic" with di- being interpreted as 2 (the [[~~2/1|~~octave]]) and tri- being interpreted as 3 (the [[3/1|tritave]]), though it is not an official name in [[TAMNAMS]].

The name '''triatonic''' was coined by [[User:CompactStar|CompactStar]], as a back-formation from "diatonic" with di- being interpreted as 2 (the [[octave]]) and tri- being interpreted as 3 (the [[3/1|tritave]]), though it is not an official name in [[TAMNAMS]].

== Scale properties ==

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=== Modes ===

The modes of {{MOS scalesig}} have step patterns which are the same as the modes of the diatonic scale.

The modes of {{MOS scalesig|5L 2s <3/1>}} have step patterns which are the same as the modes of the diatonic scale.

== Theory ==

=== As a macrodiatonic scale ===

{{MOS scalesig}} is a [[macrodiatonic and microdiatonic scales|macrodiatonic scale]] with the period of a [[3/1|tritave]]. This means it is a [[5L 2s|diatonic scale]], but its intervals are all stretched to the point of being unrecognizable—the diatonic fifth is now the size of a major seventh, and octaves are stretched out to tritaves. Interestingly, [[19edt]], an approximation of [[12edo]], has a tuning of this scale, meaning it contains both a diatonic scale (which approximates 12edo's diatonic scale) and a triatonic scale.

{{MOS scalesig|5L 2s <3/1>}} is a [[macrodiatonic and microdiatonic scales|macrodiatonic scale]] with the period of a [[3/1|tritave]]. This means it is a [[5L 2s|diatonic scale]], but its intervals are all stretched to the point of being unrecognizable—the diatonic fifth is now the size of a major seventh, and octaves are stretched out to tritaves. Interestingly, [[19edt]], an approximation of [[12edo]], has a tuning of this scale, meaning it contains both a diatonic scale (which approximates 12edo's diatonic scale) and a triatonic scale.

=== Temperament interpretations ===

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 {{MOS intro|Other Names=triatonic}}
 == Name ==
-The name '''triatonic''' was coined by [[User:CompactStar|CompactStar]], as a back-formation from "diatonic" with di- being interpreted as 2 (the [[2/1|octave]]) and tri- being interpreted as 3 (the [[3/1|tritave]]), though it is not an official name in [[TAMNAMS]].
+The name '''triatonic''' was coined by [[User:CompactStar|CompactStar]], as a back-formation from "diatonic" with di- being interpreted as 2 (the [[octave]]) and tri- being interpreted as 3 (the [[3/1|tritave]]), though it is not an official name in [[TAMNAMS]].
 == Scale properties ==
@@ Line 14: / Line 14: @@
 === Modes ===
-The modes of {{MOS scalesig}} have step patterns which are the same as the modes of the diatonic scale.
+The modes of {{MOS scalesig|5L 2s <3/1>}} have step patterns which are the same as the modes of the diatonic scale.
 {{MOS mode degrees}}
 == Theory ==
 === As a macrodiatonic scale ===
-{{MOS scalesig}} is a [[macrodiatonic and microdiatonic scales|macrodiatonic scale]] with the period of a [[3/1|tritave]]. This means it is a [[5L 2s|diatonic scale]], but its intervals are all stretched to the point of being unrecognizable—the diatonic fifth is now the size of a major seventh, and octaves are stretched out to tritaves. Interestingly, [[19edt]], an approximation of [[12edo]], has a tuning of this scale, meaning it contains both a diatonic scale (which approximates 12edo's diatonic scale) and a triatonic scale.
+{{MOS scalesig|5L 2s <3/1>}} is a [[macrodiatonic and microdiatonic scales|macrodiatonic scale]] with the period of a [[3/1|tritave]]. This means it is a [[5L 2s|diatonic scale]], but its intervals are all stretched to the point of being unrecognizable—the diatonic fifth is now the size of a major seventh, and octaves are stretched out to tritaves. Interestingly, [[19edt]], an approximation of [[12edo]], has a tuning of this scale, meaning it contains both a diatonic scale (which approximates 12edo's diatonic scale) and a triatonic scale.
 === Temperament interpretations ===