Shallowtone: Difference between revisions

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'''Shallowtone''' is a [[5-limit]] and higher [[temperament]] which tempers out the [[shallowtone comma]]. It is generated by a flat fifth, which is typically sharper than in [[mavila]] but flatter than in [[7edo]]. This gives it a high [[error]], although not as much as mavila. The ~[[5/4]] is reached by minus ten fifths octave-reduced, which is an augmented third (~~C-Ex~~) in melodic antidiatonic notation and a diminished third (~~C-Ebb~~) in harmonic antidiatonic notation. The only reasonable extension to the 7-limit tempers out [[36/35]]. Additionally, there is a weak extension [[Greenwoodmic temperaments#Semishallowtone|semishallowtone]] with a half-octave period, tempering out [[405/392]].

'''Shallowtone''' is a [[5-limit]] and higher [[regular temperament|temperament]] which [[tempering out|tempers out]] the [[shallowtone comma]]. It is generated by a flat fifth, which is typically sharper than in [[mavila]] but flatter than in [[7edo]]. This gives it a high [[error]], although not as much as mavila. The [[~]][[5/4]] is reached by minus ten fifths octave-reduced, which is an augmented third (C–Ex) in melodic antidiatonic notation and a diminished third (C–Ebb) in harmonic antidiatonic notation. The only reasonable [[extension]] to the [[7-limit]] tempers out [[36/35]]. Additionally, there is a weak extension [[Greenwoodmic temperaments #Semishallowtone|semishallowtone]] with a half-octave period, tempering out [[405/392]].

The name was coined by [[User:CompactStar|CompactStar]] in 2024. It refers to how it is an opposite to [[deeptone]] (which is on the other side of 7edo), as well as because it is just below the diatonic "surface".

See [[~~Syntonic–chromatic equivalence continuum~~#Shallowtone]] for technical data.

See [[Mint temperaments #Shallowtone]] for technical data.

== Interval chain ==

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{| class="wikitable"

|-

! rowspan="2" | &#~~35;~~

! rowspan="2" | #

! rowspan="2" | Cents*

! colspan="2" | Approximate ratios

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| [[117/80]], [[189/128]]

|}

<nowiki />* In 5-limit CTE tuning

<nowiki/>* In 5-limit CTE tuning, octave reduced

[[Category:Shallowtone| ]]

[[Category:Rank-2 temperaments]]

[[Category:Mint temperaments]]

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-'''Shallowtone''' is a [[5-limit]] and higher [[temperament]] which tempers out the [[shallowtone comma]]. It is generated by a flat fifth, which is typically sharper than in [[mavila]] but flatter than in [[7edo]]. This gives it a high [[error]], although not as much as mavila. The ~[[5/4]] is reached by minus ten fifths octave-reduced, which is an augmented third (C-Ex) in melodic antidiatonic notation and a diminished third (C-Ebb) in harmonic antidiatonic notation. The only reasonable extension to the 7-limit tempers out [[36/35]]. Additionally, there is a weak extension [[Greenwoodmic temperaments#Semishallowtone|semishallowtone]] with a half-octave period, tempering out [[405/392]].
+'''Shallowtone''' is a [[5-limit]] and higher [[regular temperament|temperament]] which [[tempering out|tempers out]] the [[shallowtone comma]]. It is generated by a flat fifth, which is typically sharper than in [[mavila]] but flatter than in [[7edo]]. This gives it a high [[error]], although not as much as mavila. The [[~]][[5/4]] is reached by minus ten fifths octave-reduced, which is an augmented third (C–Ex) in melodic antidiatonic notation and a diminished third (C–Ebb) in harmonic antidiatonic notation. The only reasonable [[extension]] to the [[7-limit]] tempers out [[36/35]]. Additionally, there is a weak extension [[Greenwoodmic temperaments #Semishallowtone|semishallowtone]] with a half-octave period, tempering out [[405/392]].
 The name was coined by [[User:CompactStar|CompactStar]] in 2024. It refers to how it is an opposite to [[deeptone]] (which is on the other side of 7edo), as well as because it is just below the diatonic "surface".
-See [[Syntonic&ndash;chromatic equivalence continuum#Shallowtone]] for technical data.
+See [[Mint temperaments #Shallowtone]] for technical data.
 == Interval chain ==
@@ Line 10: / Line 10: @@
 {| class="wikitable"
 |-
-! rowspan="2" | &#35;
+! rowspan="2" | #
 ! rowspan="2" | Cents*
 ! colspan="2" | Approximate ratios
@@ Line 97: / Line 97: @@
 | [[117/80]], [[189/128]]
 |}
-<nowiki />* In 5-limit CTE tuning
+<nowiki/>* In 5-limit CTE tuning, octave reduced
 [[Category:Shallowtone| ]] <!-- main article -->
 [[Category:Rank-2 temperaments]]
 [[Category:Mint temperaments]]