Fluid just intonation: Difference between revisions

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=== 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).~~

~~Going by the~~ ''sheet music's ~~cent values~~''~~, [[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.~~

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

~~Going by~~ the ''sheet music's ~~JI ratios~~'', [[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.

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 118: / Line 118: @@
 === 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).
-Going by the ''sheet music's cent values'', [[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.
+'''According to the sheet music's stated JI ratios:'''
-Going by the ''sheet music's JI ratios'', [[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.
+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 ==