2460edo: Difference between revisions

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== Regular temperament properties ==
== Regular temperament properties ==
{| class="wikitable center-4 center-5 center-6"
{{comma basis begin}}
! rowspan="2" | [[Subgroup]]
! rowspan="2" | [[Comma list|Comma List]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | Optimal<br>8ve Stretch (¢)
! colspan="2" | Tuning Error
|-
! [[TE error|Absolute]] (¢)
! [[TE simple badness|Relative]] (%)
|-
|-
| 2.3
| 2.3
Line 39: Line 31:
| {{monzo| 91 -12 -31 }}, {{monzo| -70  72 -19 }}
| {{monzo| 91 -12 -31 }}, {{monzo| -70  72 -19 }}
| {{mapping| 2460 3899 5712 }}
| {{mapping| 2460 3899 5712 }}
| -0.003
| &minus;0.003
| 0.006
| 0.006
| 1.29
| 1.29
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| 0.013
| 0.013
| 2.56
| 2.56
|}
{{comma basis end}}
* 2460edo has lower 23-limit relative error than any edo until [[8269edo|8269]]. Also it has a lower 23-limit [[TE logflat badness]] than any smaller edo and less than any until [[16808edo|16808]].
* 2460edo has lower 23-limit relative error than any edo until [[8269edo|8269]]. Also it has a lower 23-limit [[TE logflat badness]] than any smaller edo and less than any until [[16808edo|16808]].
* In addition, it has the lowest relative error in the 19-limit, being only bettered by [[3395edo]].
* In addition, it has the lowest relative error in the 19-limit, being only bettered by [[3395edo]].


=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
{{rank-2 begin}}
! Periods<br>per 8ve
! Generator*
! Cents*
! Associated<br>Ratio*
! Temperaments
|-
|-
| 1
| 1
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|-
|-
| 10
| 10
| 583\2460<br>(91\2460)
| 583\2460<br />(91\2460)
| 284.390<br>(44.390)
| 284.390<br />(44.390)
| {{Monzo| 10 29 -24 }}<br>(?)
| {{Monzo| 10 29 -24 }}<br />(?)
| [[Neon]]
| [[Neon]]
|-
|-
| 12
| 12
| 1021\2460<br>(4\2460)
| 1021\2460<br />(4\2460)
| 498.049<br>(1.951)
| 498.049<br />(1.951)
| 4/3<br>(32805/32768)
| 4/3<br />(32805/32768)
| [[Atomic]]
| [[Atomic]]
|-
|-
| 20
| 20
| 353\2460<br>(16\2460)
| 353\2460<br />(16\2460)
| 172.195<br>(7.805)
| 172.195<br />(7.805)
| 169/153<br>(?)
| 169/153<br />(?)
| [[Calcium]]
| [[Calcium]]
|-
|-
| 30
| 30
| 747\2460<br>(9\2460)
| 747\2460<br />(9\2460)
| 364.390<br>(4.390)
| 364.390<br />(4.390)
| 216/175<br>(385/384)
| 216/175<br />(385/384)
| [[Zinc]]
| [[Zinc]]
|-
|-
| 41
| 41
| 1021\2460<br>(1\2460)
| 1021\2460<br />(1\2460)
| 498.049<br>(0.488)
| 498.049<br />(0.488)
| 4/3<br>({{monzo| 215 -121 -10 }})
| 4/3<br />({{monzo| 215 -121 -10 }})
| [[Niobium]]
| [[Niobium]]
|-
|-
| 60
| 60
| 747\2460<br>(9\2460)
| 747\2460<br />(9\2460)
| 364.390<br>(4.390)
| 364.390<br />(4.390)
| 216/175<br>(385/384)
| 216/175<br />(385/384)
| [[Neodymium]] / [[neodymium magnet]]
| [[Neodymium]] / [[neodymium magnet]]
|-
|-
| 60
| 60
| 1021\2460<br>(4\2460)
| 1021\2460<br />(4\2460)
| 498.049<br>(1.951)
| 498.049<br />(1.951)
| 4/3<br>(32805/32768)
| 4/3<br />(32805/32768)
| [[Minutes]]
| [[Minutes]]
|}
{{rank-2 end}}
<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
{{orf}}


[[Category:Mina]]
[[Category:Mina]]