Ampersand comma: Difference between revisions

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The '''ampersand comma''', or '''Ampersand's comma''', is the [[comma]] of '''34171875/33554432''' of size 31.567 [[cent]]s. It is the amount by which six [[16/15|classical diatonic semitones (16/15)]] fall short of the [[3/2|perfect fifth (3/2)]]; that is, (3/2)/(16/15)<sup>6</sup>, or the amount by which seven such intervals fall short of the [[8/5|classical minor sixth (8/5)]]. The [[5-limit]] temperament tempering it out gives the 5-limit version of [[~~Gamelismic clan #Miracle~~|miracle temperament]]. The ampersand comma was named after [[Paul Rapoport]]'s cat, Ampersand.

The '''ampersand comma''', or '''Ampersand's comma''', is the [[comma]] of '''34171875/33554432''' of size 31.567 [[cent]]s. It is the amount by which six [[16/15|classical diatonic semitones (16/15)]] fall short of the [[3/2|perfect fifth (3/2)]]; that is, (3/2)/(16/15)<sup>6</sup>, or the amount by which seven such intervals fall short of the [[8/5|classical minor sixth (8/5)]]. The [[5-limit]] temperament tempering it out gives the eponymous '''ampersand temperament''', which is the 5-limit version of [[miracle|miracle temperament]]. See [[Syntonic–31 equivalence continuum #Ampersand]] for technical data. The ampersand comma was named after [[Paul Rapoport]]'s cat, Ampersand.

~~== Temperament data ==~~

~~=== Ampersand ===~~

~~{{see also| Gamelismic clan #Miracle }}~~

~~Subgroup: 2.3.5~~

~~[[Comma]]: 34171875/33554432~~

~~[[Mapping]]: [{{Val| 1 1 3 }}, {{Val| 0 6 -7 }}]~~

~~Optimal tuning ([[CWE]]): ~2 = 1\1, ~16/15 = 116.680~~

~~Supporting ETs: 31, 10, 41, 72, 21, 11, 103, 113, 51, 52, 134, 175, 154c, 185c~~

~~[[Badness]] (Sintel): 3.888~~

[[Category:Miracle]]

[[Category:Commas named after individuals]]

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-The '''ampersand comma''', or '''Ampersand's comma''', is the [[comma]] of '''34171875/33554432''' of size 31.567 [[cent]]s. It is the amount by which six [[16/15|classical diatonic semitones (16/15)]] fall short of the [[3/2|perfect fifth (3/2)]]; that is, (3/2)/(16/15)<sup>6</sup>, or the amount by which seven such intervals fall short of the [[8/5|classical minor sixth (8/5)]]. The [[5-limit]] temperament tempering it out gives the 5-limit version of [[Gamelismic clan #Miracle|miracle temperament]]. The ampersand comma was named after [[Paul Rapoport]]'s cat, Ampersand.
+The '''ampersand comma''', or '''Ampersand's comma''', is the [[comma]] of '''34171875/33554432''' of size 31.567 [[cent]]s. It is the amount by which six [[16/15|classical diatonic semitones (16/15)]] fall short of the [[3/2|perfect fifth (3/2)]]; that is, (3/2)/(16/15)<sup>6</sup>, or the amount by which seven such intervals fall short of the [[8/5|classical minor sixth (8/5)]]. The [[5-limit]] temperament tempering it out gives the eponymous '''ampersand temperament''', which is the 5-limit version of [[miracle|miracle temperament]]. See [[Syntonic–31 equivalence continuum #Ampersand]] for technical data. The ampersand comma was named after [[Paul Rapoport]]'s cat, Ampersand.
-== Temperament data ==
-=== Ampersand ===
-{{see also| Gamelismic clan #Miracle }}
-Subgroup: 2.3.5
-[[Comma]]: 34171875/33554432
-[[Mapping]]: [{{Val| 1 1 3 }}, {{Val| 0 6 -7 }}]
-Optimal tuning ([[CWE]]): ~2 = 1\1, ~16/15 = 116.680
-Supporting ETs: 31, 10, 41, 72, 21, 11, 103, 113, 51, 52, 134, 175, 154c, 185c
-[[Badness]] (Sintel): 3.888
+[[Category:Miracle]]
 [[Category:Commas named after individuals]]