Fluid just intonation: Difference between revisions

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== ~~Subsets and supersets~~ ==

=== Relationship to other tunings ===

~~Fluid just intonation is a subset of [[13-limit]] just intonation (going by the sheet music's cent values), and possibly also [[11-limit]] just intonation (going by the sheet music's JI ratios).~~

It is ~~also~~ a subset of the [[~~polymicrotonal~~]] ~~tuning~~ of ([[~~15afdo~~]] and [[~~16afdo~~]]).

'''According to the sheet music's stated JI ratios:'''

Fluid just intonation is a subset of [[11-limit]] just intonation.

[[30afdo]] is the smallest [[Overtone scale|mode of the harmonic series]] that can approximate all of fluid just intonation's allowed ratios with a median error of 0 cents and a maximum error less than 20 cents.

[[EDOs]] with progressively better approximations of fluid just intonation's allowed ratios include: {{EDOs|'''19''', 22, 28, '''31''', '''41''', 72, '''87''', '''118'''...}}

'''According to the sheet music's stated cent values:'''

Fluid just intonation is a subset of [[17-limit]] just intonation.

[[32afdo]] is the smallest mode of the harmonic series that can approximate all of fluid just intonation's allowed ratios with a median error of 0 cents and a maximum error less than 20 cents.

[[EDOs]] with progressively better approximations of fluid just intonation's allowed ratios include: {{EDOs|'''19''', 24, 30, '''31''', 33, '''41''', 46, 66, 77, '''87''', 90, 94, '''118'''...}}

== Influences ==

@@ Line 117: / Line 117: @@
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-== Subsets and supersets ==
+=== Relationship to other tunings ===
-Fluid just intonation is a subset of [[13-limit]] just intonation (going by the sheet music's cent values), and possibly also [[11-limit]] just intonation (going by the sheet music's JI ratios).
-It is also a subset of the [[polymicrotonal]] tuning of ([[15afdo]] and [[16afdo]]).
+'''According to the sheet music's stated JI ratios:'''
+Fluid just intonation is a subset of [[11-limit]] just intonation.
+[[30afdo]] is the smallest [[Overtone scale|mode of the harmonic series]] that can approximate all of fluid just intonation's allowed ratios with a median error of 0 cents and a maximum error less than 20 cents.
+[[EDOs]] with progressively better approximations of fluid just intonation's allowed ratios include: {{EDOs|'''19''', 22, 28, '''31''', '''41''', 72, '''87''', '''118'''...}}
+'''According to the sheet music's stated cent values:'''
+Fluid just intonation is a subset of [[17-limit]] just intonation.
+[[32afdo]] is the smallest mode of the harmonic series that can approximate all of fluid just intonation's allowed ratios with a median error of 0 cents and a maximum error less than 20 cents.
+[[EDOs]] with progressively better approximations of fluid just intonation's allowed ratios include: {{EDOs|'''19''', 24, 30, '''31''', 33, '''41''', 46, 66, 77, '''87''', 90, 94, '''118'''...}}
 == Influences ==