166edo: Difference between revisions

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 === Prime harmonics ===
 {{Primes in edo|166}}
+== Regular temperament properties ==
+{| class="wikitable center-4 center-5 center-6"
+! rowspan="2" | Subgroup
+! rowspan="2" | [[Comma list]]
+! rowspan="2" | [[Mapping]]
+! rowspan="2" | Optimal<br>8ve stretch (¢)
+! colspan="2" | Tuning error
+|-
+! [[TE error|Absolute]] (¢)
+! [[TE simple badness|Relative]] (%)
+|-
+| 2.3
+| {{monzo| -263 166 }}
+| [{{val| 166 263 }}]
+| +0.237
+| 0.237
+| 3.27
+|-
+| 2.3.5
+| 1600000/1594323, {{monzo| -31 2 12 }}
+| [{{val| 166 263 385 }}]
+| +0.615
+| 0.568
+| 7.86
+|-
+| 2.3.5.7
+| 225/224, 118098/117649, 1250000/1240029
+| [{{val| 166 263 385 466 }}]
+| +0.474
+| 0.549
+| 7.59
+|-
+| 2.3.5.7.11
+| 225/224, 385/384, 4000/3993, 322102/321489
+| [{{val| 166 263 385 466 574 }}]
+| +0.490
+| 0.492
+| 6.80
+|-
+| 2.3.5.7.11.13
+| 225/224, 325/324, 385/384, 1575/1573, 2200/2197
+| [{{val| 166 263 385 466 574 614 }}]
+| +0.498
+| 0.449
+| 6.21
+|}
+=== Rank-2 temperaments ===
+{| class="wikitable center-all left-5"
+|+Table of rank-2 temperaments by generator
+! Periods<br>per octave
+! Generator<br>(reduced)
+! Cents<br>(reduced)
+! Associated<br>ratio
+! Temperaments
+|-
+| 1
+| 33\166
+| 238.55
+| 147/128
+| [[Tokko]]
+|-
+| 1
+| 47\166
+| 339.76
+| 243/200
+| [[Amity]] / [[houborizic]]
+|-
+| 1
+| 81\166
+| 585.54
+| 7/5
+| [[Merman]]
+|-
+| 2
+| 30\166
+| 216.87
+| 17/15
+| [[Wizard]] / gizzard
+|}
 == Scales ==