Ampersand comma: Difference between revisions

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The '''ampersand''', 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's comma was named after [[Paul Rapoport]]'s cat, Ampersand.

== Temperament data ==

=== Ampersand ===

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, 154cc, 185cc

[[Badness]] (Sintel): 3.888

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 The '''ampersand''', 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's 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, 154cc, 185cc
+[[Badness]] (Sintel): 3.888