460edo: Difference between revisions

17- and 19-limit notability
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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
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| 0.1082
| 0.1082
| 4.15
| 4.15
|}
{{comma basis end}}
* 460et has lower absolute errors in the 17- and 19-limit than any previous equal temperaments. It beats [[422edo|422]] in either subgroup, and is bettered by [[494edo|494]] in the 17-limit, and [[525edo|525]] in the 19-limit.  
* 460et has lower absolute errors in the 17- and 19-limit than any previous equal temperaments. It beats [[422edo|422]] in either subgroup, and is bettered by [[494edo|494]] in the 17-limit, and [[525edo|525]] in the 19-limit.  


=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
{{rank-2 begin}}
|+Table of rank-2 temperaments by generator
! Periods<br>per 8ve
! Generator*
! Cents*
! Associated<br>Ratio*
! Temperaments
|-
|-
| 1
| 1
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|-
|-
| 10
| 10
| 121\460<br>(17\460)
| 121\460<br />(17\460)
| 315.65<br>(44.35)
| 315.65<br />(44.35)
| 6/5<br>(40/39)
| 6/5<br />(40/39)
| [[Deca]]
| [[Deca]]
|-
|-
| 20
| 20
| 66\460<br>(20\460)
| 66\460<br />(20\460)
| 172.173<br>(52.173)
| 172.173<br />(52.173)
| 169/153<br>(?)
| 169/153<br />(?)
| [[Calcium]]
| [[Calcium]]
|-
|-
| 20
| 20
| 217\460<br>(10\460)
| 217\460<br />(10\460)
| 566.086<br>(26.086)
| 566.086<br />(26.086)
| 238/165<br>(?)
| 238/165<br />(?)
| [[Soviet ferris wheel]]
| [[Soviet ferris wheel]]
|}
{{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}}