164edo: Difference between revisions

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 In the alternative val 164de {{val| 164 260 381 '''461''' '''568''' 607 }}, it tempers out [[243/242]], [[351/350]], [[364/363]], [[640/637]], [[676/675]], [[729/728]], and [[1575/1573]].
-= 4 × 41, with divisors 2, 4, 41, 82.
 === Prime harmonics ===
 {{Harmonics in equal|164}}
+=== Subsets and supersets ===
+Since 164 = 4 × 41, 164edo has subset edos {{EDOs| 2, 4, 41, 82 }}.
 == Regular temperament properties ==
 {| class="wikitable center-4 center-5 center-6"
-! rowspan="2" | Subgroup
+! rowspan="2" | [[Subgroup]]
-! rowspan="2" | [[Comma list]]
+! rowspan="2" | [[Comma list|Comma List]]
 ! rowspan="2" | [[Mapping]]
-! rowspan="2" | Optimal<br>8ve stretch (¢)
+! rowspan="2" | Optimal<br>8ve Stretch (¢)
-! colspan="2" | Tuning error
+! colspan="2" | Tuning Error
 |-
 ! [[TE error|Absolute]] (¢)
 ! [[TE simple badness|Relative]] (%)
 |-
 | 2.3.5
 | 393216/390625, {{monzo| 24 -21 4 }}
-| [{{val| 164 260 381 }}]
+| {{mapping| 164 260 381 }}
 | -0.316
 | 0.262
@@ Line 35: / Line 35: @@
 | 2.3.5.13
 | 676/675, 256000/255879, 393216/390625
-| [{{val| 164 260 381 607 }}]
+| {{mapping| 164 260 381 607 }}
 | -0.300
 | 0.229
@@ Line 44: / Line 44: @@
 {| class="wikitable center-all left-5"
 |+Table of rank-2 temperaments by generator
-! Periods<br>per Otave
+! Periods<br>per 8ve
-! Generator<br>(Reduced)
+! Generator*
-! Cents<br>(Reduced)
+! Cents*
-! Associated<br>Ratio
+! Associated<br>Ratio*
 ! Temperaments
 |-
@@ Line 102: / Line 102: @@
 | 387.80<br>(7.32)
 | 5/4<br>(32805/32768)
-| [[Counterpyth]]
+| [[Countercomp]]
 |}
+<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
-[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
 [[Category:Würschmidt]]