210edo: 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]] (%)
|-
|-
| 2.3.5
| 2.3.5
| {{monzo| 26 -12 -3 }}, {{monzo| 19 10 -15 }}
| {{monzo| 26 -12 -3 }}, {{monzo| 19 10 -15 }}
| {{mapping| 210 333 488 }}
| {{mapping| 210 333 488 }}
| -0.5138
| &minus;0.5138
| 0.3987
| 0.3987
| 6.98
| 6.98
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| 3136/3125, 5120/5103, 118098/117649
| 3136/3125, 5120/5103, 118098/117649
| {{mapping| 210 333 488 590 }}
| {{mapping| 210 333 488 590 }}
| -0.6170
| &minus;0.6170
| 0.3888
| 0.3888
| 6.80
| 6.80
|}
{{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
|-
|-
| 3
| 3
| 123\210<br>(17\210)
| 123\210<br />(17\210)
| 702.86<br>(97.14)
| 702.86<br />(97.14)
| 3/2<br>(18/17)
| 3/2<br />(18/17)
| [[Misty]] (210gh)
| [[Misty]] (210gh)
|-
|-
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| 25/24
| 25/24
| [[Countdown]] (210e)
| [[Countdown]] (210e)
|}
{{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}}