335edo: 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
| {{monzo| 531 -335 }}
| {{monzo| 531 -335 }}
| {{mapping| 335 531 }}
| {{mapping| 335 531 }}
| -0.0424
| &minus;0.0424
| 0.0424
| 0.0424
| 1.18
| 1.18
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| {{monzo| 8 14 -13 }}, {{monzo| 47 -15 -10 }}
| {{monzo| 8 14 -13 }}, {{monzo| 47 -15 -10 }}
| {{mapping| 335 531 778 }}
| {{mapping| 335 531 778 }}
| -0.1075
| &minus;0.1075
| 0.0984
| 0.0984
| 2.75
| 2.75
|}
{{comma basis end}}


=== 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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| 565.97
| 565.97
| 81920/59049
| 81920/59049
| [[Trident]] (335d)<br>[[Trillium]] / pseudotrillium (335)
| [[Trident]] (335d)<br />[[Trillium]] / pseudotrillium (335)
|-
|-
| 5
| 5
| 103\335<br>(31\335)
| 103\335<br />(31\335)
| 368.96<br>(111.04)
| 368.96<br />(111.04)
| 99/80<br>(16/15)
| 99/80<br />(16/15)
| [[Quintosec]]
| [[Quintosec]]
|}
{{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}}