Amity family: Difference between revisions

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-{{Technical data page}}<br><br>
+{{Technical data page}}
-The '''amity family''' tempers out the 5-limit [[amity comma]], 1600000/1594323. The generator for the [[amity]] temperament is the acute minor third, which means the 6/5 just minor third raised by an 81/80 comma to 243/200, and from this it derives its name. If you are looking for a different kind of neutral third this could be the temperament for you.
+The '''amity family''' of [[regular temperament|temperaments]] [[tempering out|tempers out]] the [[amity comma]] ({{monzo|legend=1| 9 -13 15 }}, [[ratio]]: 1600000/1594323).
 == Amity ==
 {{Main| Amity }}
-In the 5-limit amity is a genuine [[microtemperament]], with 58\205 being a possible tuning. Another good choice is (64/5)<sup>1/13</sup>, which gives a pure classical major third. [[Mos scale]]s of 11, 18, 25, 32, 39, 46 or 53 notes are available.
+The [[generator]] for the amity temperament is the acute minor third, which means the [[6/5]] just minor third raised by a [[81/80|syntonic comma]] comma to [[243/200]], and from this it derives its name. If you are looking for a different kind of neutral third, this could be the temperament for you. Its [[ploidacot]] is gamma-pentacot. It is a member of the [[syntonic–chromatic equivalence continuum]] with {{nowrap| ''n'' {{=}} 5 }}, so it equates an apotome with a stack of five syntonic commas. It is also in the [[schismic–Mercator equivalence continuum]] with {{nowrap| ''n'' {{=}} 5 }}, so unless 53edo is used as a tuning, the schisma is always observed.
+Amity is a genuine [[microtemperament]] in the 5-limit, with 58\205 being a possible tuning. Another good choice is (64/5)<sup>1/13</sup>, which gives a pure classical major third. [[Mos scale]]s of 11, 18, 25, 32, 39, 46 or 53 notes are available.
 [[Subgroup]]: 2.3.5
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 {{Mapping|legend=1| 1 3 6 -2 | 0 -5 -13 17 }}
-{{Multival|legend=1| 5 13 -17 9 -41 -76 }}
 Optimal tunings:
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 {{Mapping|legend=1| 1 3 6 11 | 0 -5 -13 -29 }}
-{{Multival|legend=1| 5 13 29 9 32 31 }}
 Optimal tunings:
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 {{Mapping|legend=1| 1 3 6 13 | 0 -5 -13 -36 }}
-{{Multival|legend=1| 5 13 36 9 43 47 }}
 Optimal tunings:
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 : mapping generators: ~343/240, ~7/6
-{{Multival|legend=1| 10 26 12 18 -9 -45 }}
 Optimal tunings:
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 : mapping generators: ~2, ~14/9
-{{Multival|legend=1| 10 26 19 18 2 -29 }}
 Optimal tunings:
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 : mapping generators: ~2, ~320/189
-{{Multival|legend=1| 15 39 -5 27 -50 -121 }}
 Optimal tunings:
@@ Line 627: / Line 617: @@
 {{Mapping|legend=1| 1 8 19 46 | 0 -15 -39 -101 }}
-{{Multival|legend=1| 15 39 101 27 118 125 }}
 Optimal tunings:
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 {{Mapping|legend=1| 1 3 6 5 | 0 -20 -52 -31 }}
-{{Multival|legend=1| 20 52 31 36 -7 -74 }}
 Optimal tunings:
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 {{Mapping|legend=1| 1 8 19 20 | 0 -25 -65 -67 }}
-{{Multival|legend=1| 25 65 67 45 36 -27 }}
 Optimal tunings:
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 [[Category:Temperament families]]
+[[Category:Pages with mostly numerical content]]
 [[Category:Amity family| ]] <!-- main article -->
 [[Category:Amity| ]] <!-- key article -->
 [[Category:Rank 2]]