475edo: 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
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| 0.0935
| 0.0935
| 3.70
| 3.70
|}
{{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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|-
|-
| 5
| 5
| 329\475<br>(44\475)
| 329\475<br />(44\475)
| 831.16<br>(111.16)
| 831.16<br />(111.16)
| 160/99<br>(16/15)
| 160/99<br />(16/15)
| [[Quintosec]]
| [[Quintosec]]
|-
|-
| 19
| 19
| 197\475<br>(3\475)
| 197\475<br />(3\475)
| 497.68<br>(7.58)
| 497.68<br />(7.58)
| 4/3<br>(225/224)
| 4/3<br />(225/224)
| [[Enneadecal]] (475d)
| [[Enneadecal]] (475d)
|}
{{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}}