547edo: Difference between revisions

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== Regular temperament properties ==
== Regular temperament properties ==
{{comma basis begin}}
{| class="wikitable center-4 center-5 center-6"
|-
! rowspan="2" | [[Subgroup]]
! rowspan="2" | [[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|867 -547}}
| {{monzo|867 -547}}
| {{mapping|547 867}}
| {{mapping|547 867}}
| -0.0177
| &minus;0.0177
| 0.0177
| 0.0177
| 0.81
| 0.81
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| 4375/4374, 4096000/4084101, 23066015625/23018340352
| 4375/4374, 4096000/4084101, 23066015625/23018340352
| {{mapping|547 867 1270 1536}}
| {{mapping|547 867 1270 1536}}
| -0.0601
| &minus;0.0601
| 0.1428
| 0.1428
| 6.51
| 6.51
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=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{{rank-2 begin}}
{| class="wikitable center-all left-5"
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
|-
! Periods<br />per 8ve
! Generator*
! Cents*
! Associated<br />ratio*
! Temperaments
|-
|-
| 1
| 1
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| 104/75
| 104/75
| [[Tricot]]
| [[Tricot]]
{{rank-2 end}}
|}
{{orf}}
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct


== Music ==
== Music ==