Fractional-octave temperaments: Difference between revisions

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 * [[Mercator family|Mercator temperaments]] (1\53 period)
 * [[Compton family #Omicronbeta|Omicronbeta]] (1\72 period)
-* [[Parkleiness temperaments #Octogintic|Octogintic]] (1\80 period)
+* [[Parkleiness temperaments #Octogintic|Octogintic]] ([[80th-octave temperaments|1\80 period]])
 * [[Stearnsmic clan #Garistearn|Garistearn]] (1\94 period)
 * [[Tritrizo clan #Undecentic|Undecentic]] (1\99 period)
@@ Line 360: / Line 360: @@
 Badness: 0.036267
-== 80th-octave temperaments ==
-=== Tetraicosic ===
-Tetraicosic is described as 720 & 1600, and named after the fact that 4 × 20 = 80, as a simpler temperament is already named octogintic.
-[[Subgroup]]: 2.3.5.7
-[[Comma list]]: {{monzo| -52 17 12 -1 }}, {{monzo| 25 42 -8 -26 }}
-[[Mapping]]: [{{val| 80 1 343 -27 }}, {{val| 0 4 -5 8 }}]
-Mapping generators: ~31637227888/31381059609, ~7381125/5619712
-[[Optimal tuning]] ([[CTE]]): ~7381125/5619712 = 471.7339
-{{Val list|legend=1| 720, 1600, 2320, 3920 }}
-[[Badness]]: 1.49
-==== 11-limit ====
-Subgroup: 2.3.5.7.11
-Comma list: 9801/9800, 928760463360/928426965851, {{monzo| 49 -13 -14 -1 2 }}
-Mapping: [{{val| 80 1 343 -27 434 }}, {{val| 0 4 -5 8 -5 }}]
-Optimal tuning (CTE): ~2278125/1734656 = 471.7342
-Optimal GPV sequence: {{Val list| 720, 1600, 2320, 3920 }}
-Badness: 0.178
-==== 13-limit ====
-Subgroup: 2.3.5.7.11.13
-Comma list: 9801/9800, 4100625/4100096, 14236560/14235529, 143327232/143286143
-Mapping: [{{val| 80 1 343 -27 434 13 }}, {{val| 0 4 -5 8 -5 9 }}]
-Optimal tuning (CTE): ~130/99 = 471.7322
-Optimal GPV sequence: {{Val list| 720, 1600, 2320, 3920 }}
-Badness: 0.0741
 == 91st-octave temperaments ==
 === Protactinium ===