429edo: 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| 680 -429 }}
| {{monzo| 680 -429 }}
| {{mapping| 429 680 }}
| {{mapping| 429 680 }}
| -0.0451
| &minus;0.0451
| 0.0451
| 0.0451
| 1.61
| 1.61
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| 0.1708
| 0.1708
| 6.11
| 6.11
|}
{{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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|-
|-
| 3
| 3
| 138\429<br>(5\429)
| 138\429<br />(5\429)
| 386.01<br>(13.99)
| 386.01<br />(13.99)
| 5/4<br>(126/125)
| 5/4<br />(126/125)
| [[Mutt]]
| [[Mutt]]
|}
{{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}}