388edo: Difference between revisions

Rework; cleanup; clarify the title row of the rank-2 temp table
ArrowHead294 (talk | contribs)
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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 36: Line 28:
| {{monzo| 23 6 -14 }}, {{monzo| 39 -29 3 }}
| {{monzo| 23 6 -14 }}, {{monzo| 39 -29 3 }}
| {{mapping| 388 615 901 }}
| {{mapping| 388 615 901 }}
| -0.0633
| &minus;0.0633
| 0.0501
| 0.0501
| 1.62
| 1.62
Line 74: Line 66:
| 0.1600
| 0.1600
| 5.17
| 5.17
|}
{{comma basis end}}
* 388et has a lower absolute error in the 5-limit than any previous equal temperaments, past [[323edo|323]] and followed by [[441edo|441]].  
* 388et has a lower absolute error in the 5-limit than any previous equal temperaments, past [[323edo|323]] and followed by [[441edo|441]].  


=== 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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|-
|-
| 4
| 4
| 123\388<br>(26\388)
| 123\388<br />(26\388)
| 380.41<br>(80.41)
| 380.41<br />(80.41)
| 81/65<br>(22/21)
| 81/65<br />(22/21)
| [[Quasithird]]
| [[Quasithird]]
|-
|-
| 97
| 97
| 161\388<br>(1\388)
| 161\388<br />(1\388)
| 497.938<br>(3.09)
| 497.938<br />(3.09)
| 4/3<br>(?)
| 4/3<br />(?)
| [[Berkelium]]
| [[Berkelium]]
|}
{{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:Cuthbert]]
[[Category:Cuthbert]]